kilobytes = 57.9819216389306 q = 3 m = 7 n = 1281 s = 0 t = 22 u = 44 k = 973 w = 33 ciphertext = [2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol308 = [2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol309 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol310 = [1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol311 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol312 = [2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol313 = [2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol314 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol315 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol316 = [2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol317 = [0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol318 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol319 = [0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol320 = [1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol321 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol322 = [2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol323 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol324 = [0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol325 = [2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol326 = [1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol327 = [0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol328 = [2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol329 = [1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol330 = [1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol331 = [2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol332 = [1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol333 = [0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol334 = [0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol335 = [2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1] pubkeycol336 = [2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol337 = [1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol338 = [0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol339 = [0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2] pubkeycol340 = [1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol341 = [1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol342 = [2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol343 = [2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol344 = [1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol345 = [0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol346 = [1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol347 = [0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol348 = [2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol349 = [2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol350 = [1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol351 = [2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol352 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol353 = [1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol354 = [1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1] pubkeycol355 = [2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol356 = [0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol357 = [0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol358 = [0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol359 = [2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol360 = [0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol361 = [0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol362 = [1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol363 = [0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol364 = [2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol365 = [2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol366 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2] pubkeycol367 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol368 = [1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol369 = [2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1] pubkeycol370 = [2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol371 = [2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol372 = [1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol373 = [2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol374 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol375 = [1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol376 = [1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol377 = [2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol378 = [2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol379 = [2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol380 = [2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol381 = [0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol382 = [2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol383 = [2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol384 = [1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol385 = [0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol386 = [1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol387 = [2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol388 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol389 = [1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol390 = [0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2] pubkeycol391 = [1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol392 = [1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol393 = [1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol394 = [1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol395 = [2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol396 = [0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol397 = [2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol398 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol399 = [2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol400 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2] pubkeycol401 = [2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol402 = [0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol403 = [2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol404 = [1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol405 = [2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol406 = [0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol407 = [0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol408 = [2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol409 = [1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol410 = [1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol411 = [1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol412 = [0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol413 = [1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol414 = [0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol415 = [2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol416 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol417 = [1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1] pubkeycol418 = [0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol419 = [0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol420 = [1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol421 = [1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol422 = [0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol423 = [0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol424 = [1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol425 = [2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol426 = [2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol427 = [1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2] pubkeycol428 = [1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol429 = [2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol430 = [1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1] pubkeycol431 = [2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2] pubkeycol432 = [0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol433 = [0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1] pubkeycol434 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol435 = [0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol436 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol437 = [2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol438 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol439 = [2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol440 = [2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol441 = [1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol442 = [1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2] pubkeycol443 = [0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol444 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol445 = [0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol446 = [1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol447 = [2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol448 = [1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol449 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol450 = [0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol451 = [2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol452 = [1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol453 = [1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1] pubkeycol454 = [0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol455 = [0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol456 = [2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol457 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol458 = [2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol459 = [0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol460 = [1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol461 = [0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol462 = [2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol463 = [0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol464 = [0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol465 = [1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2] pubkeycol466 = [0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol467 = [2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol468 = [1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol469 = [1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol470 = [1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol471 = [0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol472 = [1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol473 = [0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol474 = [0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol475 = [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0] pubkeycol476 = [1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol477 = [0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol478 = [0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol479 = [2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol480 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol481 = [2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1] pubkeycol482 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol483 = [1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol484 = [2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol485 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol486 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol487 = [1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol488 = [0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol489 = [1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol490 = [2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol491 = [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol492 = [1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol493 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol494 = [0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol495 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol496 = [1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol497 = [1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol498 = [0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol499 = [1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol500 = [1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol501 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol502 = [2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol503 = [1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1] pubkeycol504 = [0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol505 = [1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol506 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol507 = [1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1] pubkeycol508 = [1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol509 = [1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol510 = [1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol511 = [1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol512 = [1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol513 = [1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol514 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol515 = [2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1] pubkeycol516 = [0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol517 = [1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol518 = [1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol519 = [2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0] pubkeycol520 = [1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol521 = [2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol522 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol523 = [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol524 = [2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0] pubkeycol525 = [0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1] pubkeycol526 = [2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol527 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol528 = [0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol529 = [2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol530 = [1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol531 = [1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol532 = [0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol533 = [2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol534 = [2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol535 = [1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol536 = [2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol537 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol538 = [2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol539 = [1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0] pubkeycol540 = [2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol541 = [2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol542 = [0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2] pubkeycol543 = [0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol544 = [1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol545 = [0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol546 = [2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol547 = [1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol548 = [0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol549 = [0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0] pubkeycol550 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol551 = [2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2] pubkeycol552 = [0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol553 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol554 = [1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol555 = [2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol556 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol557 = [2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol558 = [1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol559 = [0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol560 = [0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol561 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol562 = [2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol563 = [0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol564 = [1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol565 = [2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol566 = [0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol567 = [0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol568 = [0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol569 = [0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol570 = [0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol571 = [0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol572 = [1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol573 = [0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol574 = [0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol575 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1] pubkeycol576 = [1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol577 = [1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol578 = [1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2] pubkeycol579 = [0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol580 = [0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol581 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol582 = [0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol583 = [0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol584 = [2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol585 = [1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol586 = [1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol587 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol588 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol589 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol590 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol591 = [1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol592 = [2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol593 = [1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol594 = [0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol595 = [0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol596 = [2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol597 = [2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol598 = [2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol599 = [2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol600 = [0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol601 = [0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol602 = [0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol603 = [2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol604 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol605 = [2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol606 = [1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol607 = [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol608 = [2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol609 = [1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol610 = [1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol611 = [1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol612 = [1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol613 = [1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol614 = [2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol615 = [2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol616 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol617 = [1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol618 = [1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol619 = [0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol620 = [0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol621 = [2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol622 = [2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol623 = [1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol624 = [0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol625 = [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol626 = [0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol627 = [0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol628 = [1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol629 = [1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol630 = [1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol631 = [2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol632 = [0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol633 = [0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol634 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol635 = [1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol636 = [0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol637 = [1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol638 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol639 = [2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol640 = [2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol641 = [2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol642 = [1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol643 = [2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol644 = [0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol645 = [1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol646 = [2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol647 = [2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol648 = [1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2] pubkeycol649 = [2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol650 = [2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2] pubkeycol651 = [1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol652 = [1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol653 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol654 = [0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol655 = [0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol656 = [0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol657 = [2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2] pubkeycol658 = [2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2] pubkeycol659 = [0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol660 = [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol661 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1] pubkeycol662 = [2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol663 = [1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol664 = [1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol665 = [1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol666 = [1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol667 = [0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol668 = [2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol669 = [0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol670 = [2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol671 = [2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol672 = [1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol673 = [2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0] pubkeycol674 = [0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol675 = [2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol676 = [2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol677 = [0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol678 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol679 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol680 = [1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol681 = [0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1] pubkeycol682 = [1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol683 = [0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2] pubkeycol684 = [0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol685 = [0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol686 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol687 = [0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol688 = [2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol689 = [0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol690 = [2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol691 = [1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol692 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol693 = [2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2] pubkeycol694 = [2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol695 = [0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol696 = [1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol697 = [0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol698 = [2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2] pubkeycol699 = [0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol700 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol701 = [2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2] pubkeycol702 = [2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1] pubkeycol703 = [1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol704 = [2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol705 = [2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol706 = [1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol707 = [1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol708 = [2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol709 = [0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol710 = [1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol711 = [1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1] pubkeycol712 = [2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol713 = [1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol714 = [0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol715 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol716 = [2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol717 = [0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1] pubkeycol718 = [1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol719 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol720 = [1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol721 = [1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol722 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol723 = [0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol724 = [1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol725 = [0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol726 = [1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol727 = [0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol728 = [0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol729 = [0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol730 = [0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol731 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol732 = [0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol733 = [0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol734 = [2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol735 = [0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol736 = [2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol737 = [1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol738 = [2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol739 = [2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol740 = [1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol741 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol742 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol743 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol744 = [0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol745 = [0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol746 = [2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol747 = [0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol748 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol749 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol750 = [2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol751 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol752 = [1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0] pubkeycol753 = [0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol754 = [1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol755 = [1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol756 = [0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol757 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol758 = [2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol759 = [0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol760 = [1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol761 = [1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol762 = [2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol763 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol764 = [1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol765 = [0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2] pubkeycol766 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol767 = [1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol768 = [1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol769 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol770 = [2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol771 = [0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol772 = [0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1] pubkeycol773 = [2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol774 = [0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol775 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1] pubkeycol776 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol777 = [1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol778 = [1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol779 = [1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol780 = [2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol781 = [1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol782 = [1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol783 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol784 = [1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol785 = [2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1] pubkeycol786 = [1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol787 = [1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol788 = [1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol789 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol790 = [2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol791 = [0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol792 = [2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol793 = [1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol794 = [1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol795 = [1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol796 = [0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol797 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol798 = [2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol799 = [1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol800 = [1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol801 = [0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol802 = [1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol803 = [0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol804 = [1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol805 = [1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol806 = [0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol807 = [2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0] pubkeycol808 = [0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol809 = [2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol810 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1] pubkeycol811 = [0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol812 = [1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol813 = [0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol814 = [1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol815 = [0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol816 = [1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol817 = [0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol818 = [2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2] pubkeycol819 = [0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol820 = [1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2] pubkeycol821 = [1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol822 = [1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol823 = [0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol824 = [2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1] pubkeycol825 = [0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol826 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1] pubkeycol827 = [0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol828 = [1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol829 = [1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol830 = [1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2] pubkeycol831 = [2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol832 = [2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol833 = [2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol834 = [2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol835 = [0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol836 = [0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol837 = [1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol838 = [0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol839 = [0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol840 = [2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol841 = [2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol842 = [2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol843 = [0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol844 = [0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol845 = [1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol846 = [1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2] pubkeycol847 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol848 = [1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol849 = [2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol850 = [0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol851 = [0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1] pubkeycol852 = [1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol853 = [0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol854 = [2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol855 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol856 = [2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol857 = [2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2] pubkeycol858 = [2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol859 = [1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol860 = [2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol861 = [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2] pubkeycol862 = [0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol863 = [2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol864 = [2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0] pubkeycol865 = [0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol866 = [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol867 = [1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2] pubkeycol868 = [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol869 = [2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0] pubkeycol870 = [2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol871 = [1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol872 = [0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol873 = [1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol874 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol875 = [2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol876 = [0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol877 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol878 = [2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol879 = [0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol880 = [2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol881 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol882 = [1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0] pubkeycol883 = [1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol884 = [1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol885 = [2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol886 = [2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol887 = [1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol888 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol889 = [0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1] pubkeycol890 = [2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol891 = [2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2] pubkeycol892 = [2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol893 = [0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1] pubkeycol894 = [0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol895 = [2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol896 = [1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0] pubkeycol897 = [2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol898 = [1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol899 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol900 = [0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol901 = [2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol902 = [1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol903 = [0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol904 = [1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol905 = [2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol906 = [2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol907 = [1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol908 = [2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol909 = [1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol910 = [0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol911 = [1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol912 = [0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol913 = [1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol914 = [1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol915 = [2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol916 = [2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol917 = [2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol918 = [2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol919 = [1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol920 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1] pubkeycol921 = [1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol922 = [0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol923 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol924 = [1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol925 = [2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol926 = [2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol927 = [0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol928 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol929 = [2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol930 = [2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol931 = [1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol932 = [0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol933 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol934 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol935 = [2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol936 = [2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol937 = [1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2] pubkeycol938 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol939 = [0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0] pubkeycol940 = [1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol941 = [1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol942 = [1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol943 = [0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol944 = [1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2] pubkeycol945 = [1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol946 = [2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol947 = [0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol948 = [2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol949 = [2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol950 = [0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol951 = [0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol952 = [0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol953 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol954 = [2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol955 = [0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0] pubkeycol956 = [0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol957 = [2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol958 = [2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol959 = [0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol960 = [0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol961 = [1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol962 = [1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol963 = [0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2] pubkeycol964 = [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2] pubkeycol965 = [0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol966 = [0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1] pubkeycol967 = [2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol968 = [0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol969 = [1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol970 = [2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol971 = [0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol972 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol973 = [2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol974 = [1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1] pubkeycol975 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol976 = [2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol977 = [1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol978 = [1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol979 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol980 = [0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol981 = [0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol982 = [0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol983 = [0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol984 = [1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol985 = [2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol986 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol987 = [0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol988 = [0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol989 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol990 = [0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol991 = [2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol992 = [0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol993 = [1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol994 = [2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol995 = [2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol996 = [1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol997 = [2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol998 = [1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol999 = [2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol1000 = [0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol1001 = [1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol1002 = [1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol1003 = [0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol1004 = [0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol1005 = [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol1006 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol1007 = [0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol1008 = [0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol1009 = [2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol1010 = [2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0] pubkeycol1011 = [1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol1012 = [2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1] pubkeycol1013 = [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol1014 = [1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol1015 = [0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1016 = [2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1017 = [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol1018 = [2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1019 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol1020 = [1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol1021 = [0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol1022 = [2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol1023 = [0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1] pubkeycol1024 = [0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol1025 = [1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1026 = [2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2] pubkeycol1027 = [1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol1028 = [1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol1029 = [0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol1030 = [2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol1031 = [0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol1032 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol1033 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol1034 = [0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol1035 = [2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol1036 = [2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol1037 = [2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol1038 = [2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol1039 = [0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol1040 = [0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2] pubkeycol1041 = [1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol1042 = [0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol1043 = [1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol1044 = [2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol1045 = [2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol1046 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol1047 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol1048 = [0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1] pubkeycol1049 = [1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol1050 = [0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol1051 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1052 = [1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol1053 = [0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1054 = [2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2] pubkeycol1055 = [0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol1056 = [1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol1057 = [1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0] pubkeycol1058 = [2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol1059 = [2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2] pubkeycol1060 = [1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol1061 = [0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol1062 = [2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol1063 = [1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol1064 = [1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol1065 = [2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol1066 = [0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol1067 = [2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol1068 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol1069 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol1070 = [1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol1071 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol1072 = [0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol1073 = [2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol1074 = [0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol1075 = [0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol1076 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol1077 = [1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol1078 = [1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol1079 = [2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol1080 = [2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol1081 = [2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol1082 = [1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol1083 = [1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0] pubkeycol1084 = [1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol1085 = [2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol1086 = [2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol1087 = [1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol1088 = [0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1] pubkeycol1089 = [2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol1090 = [0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol1091 = [2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol1092 = [0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol1093 = [0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol1094 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol1095 = [0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1096 = [1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol1097 = [1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol1098 = [0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol1099 = [0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol1100 = [0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol1101 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol1102 = [2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol1103 = [2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol1104 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol1105 = [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol1106 = [2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol1107 = [1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1108 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol1109 = [2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol1110 = [2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol1111 = [2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol1112 = [0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol1113 = [0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol1114 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol1115 = [2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol1116 = [2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol1117 = [0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol1118 = [1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol1119 = [2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol1120 = [2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol1121 = [1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol1122 = [2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol1123 = [0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol1124 = [2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol1125 = [2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol1126 = [2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol1127 = [2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2] pubkeycol1128 = [2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol1129 = [0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1130 = [1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol1131 = [1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol1132 = [0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol1133 = [2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol1134 = [1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2] pubkeycol1135 = [1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1136 = [0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol1137 = [0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol1138 = [0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol1139 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol1140 = [0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol1141 = [0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol1142 = [0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol1143 = [0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol1144 = [1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol1145 = [2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol1146 = [0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol1147 = [0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol1148 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1] pubkeycol1149 = [1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol1150 = [0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol1151 = [0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol1152 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol1153 = [1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol1154 = [2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2] pubkeycol1155 = [0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol1156 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol1157 = [1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol1158 = [1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1159 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol1160 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol1161 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0] pubkeycol1162 = [2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol1163 = [1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol1164 = [2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol1165 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol1166 = [1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol1167 = [2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol1168 = [2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0] pubkeycol1169 = [0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol1170 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol1171 = [2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol1172 = [2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol1173 = [0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol1174 = [1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol1175 = [1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol1176 = [0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol1177 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol1178 = [2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol1179 = [2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2] pubkeycol1180 = [2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol1181 = [2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol1182 = [0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol1183 = [2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol1184 = [1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol1185 = [2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol1186 = [1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol1187 = [0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol1188 = [2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol1189 = [1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol1190 = [0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol1191 = [2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol1192 = [2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol1193 = [1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol1194 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol1195 = [0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol1196 = [2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol1197 = [0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol1198 = [1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol1199 = [2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol1200 = [1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1201 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol1202 = [2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol1203 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol1204 = [2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol1205 = [2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol1206 = [1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol1207 = [1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol1208 = [2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol1209 = [2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol1210 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol1211 = [2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2] pubkeycol1212 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol1213 = [1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol1214 = [1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol1215 = [0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol1216 = [0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol1217 = [1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol1218 = [2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol1219 = [1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol1220 = [1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol1221 = [1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol1222 = [1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol1223 = [2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0] pubkeycol1224 = [1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol1225 = [0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1] pubkeycol1226 = [1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol1227 = [2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol1228 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol1229 = [1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1] pubkeycol1230 = [0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol1231 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol1232 = [2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol1233 = [2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol1234 = [1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0] pubkeycol1235 = [2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol1236 = [1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol1237 = [0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol1238 = [0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol1239 = [1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol1240 = [1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol1241 = [2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol1242 = [1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol1243 = [2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol1244 = [0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol1245 = [0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1246 = [2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol1247 = [0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol1248 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol1249 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol1250 = [1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol1251 = [0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol1252 = [0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol1253 = [2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1254 = [0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol1255 = [2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol1256 = [1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol1257 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol1258 = [0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol1259 = [2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol1260 = [2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol1261 = [0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol1262 = [0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol1263 = [1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2] pubkeycol1264 = [1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1265 = [0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol1266 = [1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2] pubkeycol1267 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol1268 = [0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol1269 = [1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol1270 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol1271 = [1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol1272 = [0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol1273 = [2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol1274 = [0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol1275 = [2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol1276 = [1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol1277 = [1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol1278 = [2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol1279 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2] pubkeycol1280 = [1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1]