kilobytes = 59.9484205228819 q = 3 m = 7 n = 1314 s = 0 t = 22 u = 44 k = 1006 w = 33 ciphertext = [2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol308 = [1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol309 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol310 = [0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol311 = [0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0] pubkeycol312 = [1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol313 = [1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol314 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol315 = [2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol316 = [0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0] pubkeycol317 = [1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol318 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol319 = [0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol320 = [2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1] pubkeycol321 = [2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol322 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0] pubkeycol323 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol324 = [2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol325 = [1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol326 = [2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol327 = [2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol328 = [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol329 = [0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol330 = [2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol331 = [2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol332 = [2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol333 = [0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol334 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol335 = [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol336 = [2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol337 = [0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol338 = [1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol339 = [2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol340 = [0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol341 = [0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol342 = [2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol343 = [1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol344 = [1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol345 = [2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol346 = [0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol347 = [0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol348 = [2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol349 = [2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol350 = [2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol351 = [1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2] pubkeycol352 = [1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol353 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol354 = [1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol355 = [1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol356 = [0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0] pubkeycol357 = [2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol358 = [0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol359 = [1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0] pubkeycol360 = [1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol361 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol362 = [0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol363 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol364 = [2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol365 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol366 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol367 = [0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol368 = [2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol369 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol370 = [2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol371 = [1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol372 = [0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2] pubkeycol373 = [1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol374 = [1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol375 = [1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol376 = [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol377 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol378 = [0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol379 = [2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol380 = [2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol381 = [1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol382 = [0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol383 = [1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol384 = [1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2] pubkeycol385 = [0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol386 = [0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol387 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol388 = [0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol389 = [2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol390 = [2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol391 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol392 = [2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol393 = [0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2] pubkeycol394 = [0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol395 = [2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol396 = [0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol397 = [2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol398 = [0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol399 = [1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol400 = [2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1] pubkeycol401 = [2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol402 = [2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol403 = [0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol404 = [1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol405 = [0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1] pubkeycol406 = [1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol407 = [1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol408 = [0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol409 = [1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol410 = [0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol411 = [1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol412 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol413 = [0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol414 = [0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol415 = [0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1] pubkeycol416 = [1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol417 = [2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol418 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol419 = [2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol420 = [1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0] pubkeycol421 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol422 = [1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol423 = [0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol424 = [2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol425 = [2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol426 = [1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol427 = [2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol428 = [1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol429 = [0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol430 = [0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol431 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1] pubkeycol432 = [1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol433 = [1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol434 = [1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0] pubkeycol435 = [0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol436 = [0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol437 = [2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol438 = [0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol439 = [0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol440 = [1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol441 = [2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol442 = [0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0] pubkeycol443 = [1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol444 = [1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol445 = [2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol446 = [2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2] pubkeycol447 = [1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2] pubkeycol448 = [1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol449 = [1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2] pubkeycol450 = [1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol451 = [2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0] pubkeycol452 = [0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol453 = [2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol454 = [1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol455 = [2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0] pubkeycol456 = [2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol457 = [1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol458 = [1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol459 = [2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2] pubkeycol460 = [0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol461 = [0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol462 = [1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol463 = [2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol464 = [0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol465 = [2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0] pubkeycol466 = [1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol467 = [1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol468 = [1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol469 = [1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol470 = [2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol471 = [0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol472 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol473 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol474 = [0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2] pubkeycol475 = [1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol476 = [1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol477 = [2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol478 = [1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol479 = [1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol480 = [0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol481 = [2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol482 = [0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2] pubkeycol483 = [2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol484 = [2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol485 = [2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol486 = [0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol487 = [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol488 = [1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol489 = [2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2] pubkeycol490 = [2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol491 = [1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0] pubkeycol492 = [0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol493 = [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol494 = [0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol495 = [2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol496 = [2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol497 = [2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol498 = [2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol499 = [0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol500 = [1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol501 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol502 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol503 = [2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol504 = [1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1] pubkeycol505 = [0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2] pubkeycol506 = [1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol507 = [1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol508 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol509 = [0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol510 = [0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol511 = [0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol512 = [2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol513 = [0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1] pubkeycol514 = [1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol515 = [0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol516 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol517 = [0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol518 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol519 = [0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol520 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2] pubkeycol521 = [1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1] pubkeycol522 = [1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol523 = [2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol524 = [1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1] pubkeycol525 = [1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol526 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol527 = [0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol528 = [2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol529 = [0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol530 = [2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol531 = [2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol532 = [2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol533 = [0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol534 = [0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol535 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol536 = [1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol537 = [1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1] pubkeycol538 = [0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol539 = [2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol540 = [0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol541 = [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol542 = [0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol543 = [0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol544 = [0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol545 = [1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1] pubkeycol546 = [0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol547 = [2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0] pubkeycol548 = [2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol549 = [1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol550 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol551 = [1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol552 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol553 = [1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol554 = [0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol555 = [1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0] pubkeycol556 = [0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2] pubkeycol557 = [1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol558 = [1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol559 = [2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol560 = [1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol561 = [1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol562 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol563 = [0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol564 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol565 = [1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol566 = [1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol567 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol568 = [2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol569 = [1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol570 = [1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol571 = [2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol572 = [1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol573 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol574 = [0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol575 = [0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0] pubkeycol576 = [2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol577 = [0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol578 = [1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol579 = [2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol580 = [1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2] pubkeycol581 = [2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol582 = [2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0] pubkeycol583 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol584 = [1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol585 = [2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol586 = [1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol587 = [2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol588 = [2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol589 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol590 = [2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol591 = [2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1] pubkeycol592 = [0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol593 = [2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol594 = [2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0] pubkeycol595 = [1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol596 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol597 = [2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol598 = [2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol599 = [0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol600 = [2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol601 = [2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol602 = [2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0] pubkeycol603 = [2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol604 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol605 = [2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol606 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1] pubkeycol607 = [2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol608 = [0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol609 = [1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol610 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2] pubkeycol611 = [0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol612 = [2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol613 = [0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2] pubkeycol614 = [2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol615 = [0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol616 = [1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol617 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol618 = [0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol619 = [1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0] pubkeycol620 = [2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol621 = [1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol622 = [1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol623 = [2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol624 = [1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol625 = [2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol626 = [1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol627 = [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol628 = [2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2] pubkeycol629 = [1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1] pubkeycol630 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol631 = [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol632 = [2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1] pubkeycol633 = [2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol634 = [0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol635 = [0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol636 = [2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol637 = [2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol638 = [1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol639 = [1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol640 = [0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol641 = [2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol642 = [2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol643 = [0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol644 = [2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol645 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol646 = [1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol647 = [0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol648 = [2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol649 = [2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol650 = [2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol651 = [1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol652 = [1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol653 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol654 = [0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1] pubkeycol655 = [0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol656 = [2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol657 = [1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol658 = [1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol659 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol660 = [1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol661 = [0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol662 = [1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol663 = [0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol664 = [1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2] pubkeycol665 = [2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol666 = [0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol667 = [0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol668 = [0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol669 = [1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol670 = [1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol671 = [0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol672 = [1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol673 = [1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol674 = [2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol675 = [0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol676 = [1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol677 = [1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1] pubkeycol678 = [2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol679 = [0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol680 = [1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol681 = [2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol682 = [0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1] pubkeycol683 = [1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol684 = [0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol685 = [0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol686 = [2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol687 = [0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol688 = [0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol689 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol690 = [1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol691 = [0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol692 = [1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol693 = [1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol694 = [2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol695 = [1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol696 = [0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol697 = [1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol698 = [2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol699 = [0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2] pubkeycol700 = [2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol701 = [2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0] pubkeycol702 = [2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol703 = [1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol704 = [2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol705 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol706 = [1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol707 = [0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol708 = [0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1] pubkeycol709 = [1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1] pubkeycol710 = [1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol711 = [1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol712 = [2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol713 = [0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol714 = [2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol715 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0] pubkeycol716 = [2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol717 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol718 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol719 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol720 = [1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0] pubkeycol721 = [2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol722 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol723 = [0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol724 = [0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol725 = [1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol726 = [2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0] pubkeycol727 = [2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol728 = [2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol729 = [2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol730 = [1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol731 = [1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol732 = [2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol733 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol734 = [2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol735 = [2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol736 = [2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol737 = [1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol738 = [2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol739 = [1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol740 = [0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol741 = [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol742 = [0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1] pubkeycol743 = [0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol744 = [0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol745 = [0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol746 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol747 = [1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol748 = [0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol749 = [0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol750 = [2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol751 = [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol752 = [2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol753 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol754 = [1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol755 = [0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol756 = [2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol757 = [2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol758 = [0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol759 = [1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol760 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol761 = [1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol762 = [2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol763 = [0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol764 = [1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol765 = [1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol766 = [2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol767 = [0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol768 = [0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol769 = [1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol770 = [0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol771 = [1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol772 = [1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol773 = [2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol774 = [1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol775 = [1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol776 = [0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol777 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol778 = [1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol779 = [2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol780 = [1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol781 = [2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol782 = [2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol783 = [0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol784 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol785 = [2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol786 = [1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol787 = [0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol788 = [0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol789 = [1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol790 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol791 = [2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol792 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol793 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol794 = [0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0] pubkeycol795 = [1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol796 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol797 = [1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol798 = [0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol799 = [1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol800 = [0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol801 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol802 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol803 = [0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol804 = [0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol805 = [0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol806 = [2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol807 = [2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol808 = [0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0] pubkeycol809 = [1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol810 = [2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol811 = [1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol812 = [0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol813 = [2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol814 = [2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol815 = [0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol816 = [0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol817 = [1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol818 = [2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol819 = [2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol820 = [1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol821 = [2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol822 = [0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol823 = [1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol824 = [0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol825 = [2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1] pubkeycol826 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol827 = [1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol828 = [0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol829 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol830 = [1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol831 = [2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1] pubkeycol832 = [1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol833 = [1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol834 = [0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol835 = [1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol836 = [0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol837 = [1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol838 = [1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol839 = [1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol840 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol841 = [1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol842 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol843 = [0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol844 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol845 = [2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol846 = [2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol847 = [0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol848 = [0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol849 = [1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0] pubkeycol850 = [2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol851 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol852 = [2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol853 = [1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol854 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0] pubkeycol855 = [1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol856 = [2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol857 = [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol858 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol859 = [1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol860 = [2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol861 = [0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol862 = [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol863 = [2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol864 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol865 = [1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol866 = [1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2] pubkeycol867 = [0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0] pubkeycol868 = [1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1] pubkeycol869 = [1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol870 = [2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol871 = [1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol872 = [1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol873 = [0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol874 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol875 = [2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol876 = [0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol877 = [0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol878 = [1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol879 = [1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol880 = [0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol881 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol882 = [1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1] pubkeycol883 = [1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol884 = [2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol885 = [0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol886 = [0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol887 = [1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol888 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol889 = [1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol890 = [2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol891 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol892 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol893 = [0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol894 = [1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol895 = [2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol896 = [2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol897 = [2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol898 = [1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol899 = [2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol900 = [0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol901 = [0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol902 = [1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol903 = [2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol904 = [0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol905 = [2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol906 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol907 = [2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol908 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol909 = [1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol910 = [1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol911 = [1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol912 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol913 = [0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0] pubkeycol914 = [1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol915 = [1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol916 = [0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1] pubkeycol917 = [2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol918 = [0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol919 = [1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol920 = [1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol921 = [2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol922 = [0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol923 = [1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol924 = [2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol925 = [2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol926 = [1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol927 = [2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol928 = [1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol929 = [0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol930 = [0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol931 = [2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol932 = [1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol933 = [1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol934 = [1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol935 = [0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol936 = [1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol937 = [0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol938 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol939 = [1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1] pubkeycol940 = [0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol941 = [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol942 = [1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol943 = [0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol944 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol945 = [1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol946 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol947 = [2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol948 = [0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol949 = [2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol950 = [1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2] pubkeycol951 = [1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol952 = [0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol953 = [0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol954 = [0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol955 = [2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol956 = [2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol957 = [0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol958 = [0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol959 = [0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol960 = [0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol961 = [1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol962 = [2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol963 = [2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol964 = [1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol965 = [2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0] pubkeycol966 = [2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2] pubkeycol967 = [2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2] pubkeycol968 = [0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol969 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol970 = [2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1] pubkeycol971 = [1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol972 = [0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol973 = [0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol974 = [0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol975 = [2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol976 = [0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol977 = [1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol978 = [2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol979 = [1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol980 = [2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol981 = [0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol982 = [0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol983 = [2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol984 = [1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol985 = [0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0] pubkeycol986 = [0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol987 = [2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol988 = [2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol989 = [2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol990 = [0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol991 = [2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol992 = [1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol993 = [0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol994 = [2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2] pubkeycol995 = [2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol996 = [2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol997 = [1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol998 = [0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol999 = [2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1] pubkeycol1000 = [2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol1001 = [0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol1002 = [1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol1003 = [2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol1004 = [1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol1005 = [2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol1006 = [0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol1007 = [2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol1008 = [1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol1009 = [1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol1010 = [1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol1011 = [0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol1012 = [0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol1013 = [0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1014 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol1015 = [1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol1016 = [2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol1017 = [0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol1018 = [0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol1019 = [2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol1020 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol1021 = [0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol1022 = [0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol1023 = [1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol1024 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol1025 = [1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1026 = [2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol1027 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol1028 = [0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol1029 = [0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol1030 = [1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol1031 = [1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol1032 = [1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol1033 = [1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol1034 = [1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol1035 = [2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol1036 = [2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol1037 = [2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol1038 = [1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol1039 = [2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol1040 = [2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol1041 = [1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol1042 = [2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol1043 = [2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol1044 = [0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol1045 = [2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol1046 = [2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol1047 = [0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol1048 = [0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol1049 = [0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol1050 = [0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol1051 = [1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol1052 = [2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol1053 = [0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol1054 = [2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol1055 = [2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol1056 = [1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol1057 = [2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1] pubkeycol1058 = [2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol1059 = [1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol1060 = [1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol1061 = [0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol1062 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol1063 = [2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol1064 = [2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol1065 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol1066 = [0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol1067 = [2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol1068 = [0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol1069 = [1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol1070 = [1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol1071 = [2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol1072 = [2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1] pubkeycol1073 = [2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol1074 = [2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol1075 = [2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol1076 = [1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol1077 = [1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol1078 = [0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol1079 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol1080 = [0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0] pubkeycol1081 = [0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol1082 = [1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol1083 = [2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol1084 = [2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol1085 = [0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol1086 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1] pubkeycol1087 = [0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2] pubkeycol1088 = [2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol1089 = [0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol1090 = [1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1091 = [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol1092 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol1093 = [1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1094 = [0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol1095 = [2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol1096 = [1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol1097 = [0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol1098 = [0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1099 = [1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol1100 = [1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol1101 = [0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2] pubkeycol1102 = [1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol1103 = [1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol1104 = [2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol1105 = [2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol1106 = [0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol1107 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol1108 = [0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol1109 = [2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol1110 = [0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol1111 = [2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol1112 = [2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol1113 = [1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1] pubkeycol1114 = [0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol1115 = [0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol1116 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol1117 = [0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol1118 = [0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2] pubkeycol1119 = [1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol1120 = [0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol1121 = [2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol1122 = [2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1123 = [0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol1124 = [0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol1125 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol1126 = [2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol1127 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol1128 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol1129 = [0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol1130 = [1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol1131 = [1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol1132 = [0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol1133 = [1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol1134 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol1135 = [0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol1136 = [1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol1137 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol1138 = [2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol1139 = [1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1140 = [2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol1141 = [0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol1142 = [0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol1143 = [2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol1144 = [2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol1145 = [2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol1146 = [2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol1147 = [2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol1148 = [1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol1149 = [2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol1150 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol1151 = [1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol1152 = [2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol1153 = [2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol1154 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol1155 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol1156 = [0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol1157 = [1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1158 = [0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1159 = [1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol1160 = [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol1161 = [1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol1162 = [1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol1163 = [2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol1164 = [2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol1165 = [2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol1166 = [1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol1167 = [0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol1168 = [0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2] pubkeycol1169 = [0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol1170 = [1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol1171 = [1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol1172 = [1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol1173 = [1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol1174 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol1175 = [1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol1176 = [0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol1177 = [2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol1178 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol1179 = [1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol1180 = [0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol1181 = [2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol1182 = [2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol1183 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0] pubkeycol1184 = [0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol1185 = [2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol1186 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol1187 = [0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0] pubkeycol1188 = [0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol1189 = [1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol1190 = [1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1] pubkeycol1191 = [0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol1192 = [0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol1193 = [2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol1194 = [2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1] pubkeycol1195 = [1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol1196 = [2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol1197 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol1198 = [2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol1199 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol1200 = [2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol1201 = [2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol1202 = [1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol1203 = [2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol1204 = [1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1205 = [2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol1206 = [0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol1207 = [0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol1208 = [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol1209 = [1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol1210 = [2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol1211 = [2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1] pubkeycol1212 = [2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol1213 = [1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol1214 = [1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol1215 = [0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol1216 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol1217 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol1218 = [1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol1219 = [0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol1220 = [0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol1221 = [1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol1222 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol1223 = [2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol1224 = [0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol1225 = [1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol1226 = [1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol1227 = [2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol1228 = [2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol1229 = [0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol1230 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1231 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol1232 = [2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1233 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol1234 = [1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol1235 = [0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol1236 = [1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol1237 = [1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol1238 = [0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol1239 = [0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol1240 = [2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol1241 = [1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol1242 = [0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol1243 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol1244 = [0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol1245 = [1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol1246 = [1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol1247 = [0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1248 = [1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0] pubkeycol1249 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol1250 = [2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0] pubkeycol1251 = [0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol1252 = [0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol1253 = [0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1] pubkeycol1254 = [2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol1255 = [1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol1256 = [2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol1257 = [2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol1258 = [2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol1259 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol1260 = [0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol1261 = [1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2] pubkeycol1262 = [1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1] pubkeycol1263 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol1264 = [1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol1265 = [2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol1266 = [0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol1267 = [1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol1268 = [2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol1269 = [1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol1270 = [1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol1271 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol1272 = [1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1273 = [2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol1274 = [0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1275 = [0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol1276 = [2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol1277 = [1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol1278 = [0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol1279 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol1280 = [1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol1281 = [1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1282 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol1283 = [2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol1284 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol1285 = [2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol1286 = [1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol1287 = [2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol1288 = [1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol1289 = [2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol1290 = [1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1291 = [1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol1292 = [1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol1293 = [2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol1294 = [0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol1295 = [2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol1296 = [0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol1297 = [2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol1298 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol1299 = [2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol1300 = [0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol1301 = [1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol1302 = [1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol1303 = [0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol1304 = [2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol1305 = [0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1] pubkeycol1306 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2] pubkeycol1307 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1308 = [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol1309 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol1310 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2] pubkeycol1311 = [1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol1312 = [2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol1313 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0]