kilobytes = 63.8814182907847 q = 3 m = 7 n = 1380 s = 0 t = 22 u = 44 k = 1072 w = 33 ciphertext = [0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol308 = [1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1] pubkeycol309 = [0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol310 = [2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol311 = [1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol312 = [2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol313 = [0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol314 = [0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol315 = [0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol316 = [2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol317 = [0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol318 = [1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol319 = [2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol320 = [1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol321 = [2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol322 = [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0] pubkeycol323 = [0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol324 = [1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol325 = [1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol326 = [2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol327 = [0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol328 = [1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol329 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol330 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol331 = [2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0] pubkeycol332 = [1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol333 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol334 = [1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol335 = [1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol336 = [2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol337 = [2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol338 = [1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol339 = [2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol340 = [1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol341 = [1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol342 = [2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol343 = [1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol344 = [1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol345 = [2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol346 = [0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol347 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2] pubkeycol348 = [2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol349 = [0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol350 = [1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol351 = [1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol352 = [2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol353 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol354 = [1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol355 = [0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol356 = [2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol357 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol358 = [1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol359 = [2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol360 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol361 = [0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol362 = [0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol363 = [0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol364 = [0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol365 = [0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol366 = [0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol367 = [2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol368 = [0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol369 = [0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol370 = [0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol371 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol372 = [0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol373 = [0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol374 = [1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol375 = [0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol376 = [0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol377 = [1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol378 = [1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol379 = [0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol380 = [0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol381 = [0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol382 = [0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol383 = [2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol384 = [2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol385 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol386 = [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol387 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol388 = [2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol389 = [0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol390 = [2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol391 = [0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol392 = [0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol393 = [0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2] pubkeycol394 = [0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol395 = [1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol396 = [2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol397 = [1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol398 = [1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol399 = [0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol400 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol401 = [1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol402 = [0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol403 = [2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol404 = [1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol405 = [2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0] pubkeycol406 = [1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol407 = [1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol408 = [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol409 = [0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol410 = [2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol411 = [0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol412 = [1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol413 = [0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol414 = [1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol415 = [1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol416 = [2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol417 = [2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol418 = [0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol419 = [1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol420 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1] pubkeycol421 = [1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol422 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol423 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol424 = [0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol425 = [2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol426 = [2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol427 = [2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol428 = [1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol429 = [0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol430 = [2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1] pubkeycol431 = [1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol432 = [2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol433 = [1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol434 = [0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol435 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol436 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol437 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0] pubkeycol438 = [1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol439 = [2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol440 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0] pubkeycol441 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol442 = [2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol443 = [0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol444 = [2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol445 = [0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol446 = [1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol447 = [1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2] pubkeycol448 = [2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol449 = [1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol450 = [2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol451 = [0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol452 = [1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol453 = [1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2] pubkeycol454 = [2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol455 = [1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol456 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol457 = [2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2] pubkeycol458 = [0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol459 = [2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol460 = [1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol461 = [2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol462 = [0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1] pubkeycol463 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol464 = [2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol465 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol466 = [2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol467 = [1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0] pubkeycol468 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol469 = [0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol470 = [1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2] pubkeycol471 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol472 = [1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol473 = [2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol474 = [2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol475 = [1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol476 = [0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol477 = [2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol478 = [0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol479 = [1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol480 = [0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol481 = [1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol482 = [2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol483 = [2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol484 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol485 = [1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol486 = [2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol487 = [0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol488 = [2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol489 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol490 = [2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol491 = [2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol492 = [1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1] pubkeycol493 = [0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol494 = [2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol495 = [2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol496 = [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol497 = [0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol498 = [2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol499 = [1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol500 = [2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol501 = [1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol502 = [2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol503 = [0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0] pubkeycol504 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol505 = [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol506 = [2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol507 = [2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol508 = [0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol509 = [0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2] pubkeycol510 = [0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1] pubkeycol511 = [1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol512 = [1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol513 = [1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol514 = [0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol515 = [0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol516 = [1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1] pubkeycol517 = [2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol518 = [2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2] pubkeycol519 = [1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0] pubkeycol520 = [2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol521 = [0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol522 = [2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol523 = [2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol524 = [0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol525 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol526 = [0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol527 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol528 = [2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol529 = [0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol530 = [0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol531 = [2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol532 = [2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol533 = [1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol534 = [2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol535 = [0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol536 = [1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol537 = [0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0] pubkeycol538 = [0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol539 = [0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol540 = [2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2] pubkeycol541 = [1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol542 = [2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol543 = [0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol544 = [1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol545 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol546 = [0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2] pubkeycol547 = [1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol548 = [1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol549 = [2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol550 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol551 = [1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol552 = [0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol553 = [0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol554 = [1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol555 = [0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol556 = [0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1] pubkeycol557 = [2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol558 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol559 = [2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol560 = [0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol561 = [1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol562 = [1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol563 = [0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2] pubkeycol564 = [2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol565 = [1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol566 = [1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol567 = [0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol568 = [2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol569 = [2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol570 = [2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol571 = [2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol572 = [1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol573 = [2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol574 = [0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol575 = [0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol576 = [0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2] pubkeycol577 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol578 = [0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol579 = [0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1] pubkeycol580 = [1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol581 = [2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol582 = [0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol583 = [1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol584 = [1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol585 = [1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol586 = [1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol587 = [0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol588 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol589 = [1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol590 = [0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol591 = [1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol592 = [2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1] pubkeycol593 = [0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol594 = [0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol595 = [2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol596 = [0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol597 = [1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol598 = [2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol599 = [0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol600 = [1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol601 = [0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol602 = [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol603 = [2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol604 = [2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol605 = [1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol606 = [1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol607 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol608 = [2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol609 = [1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol610 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol611 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol612 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol613 = [0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol614 = [1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol615 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol616 = [0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol617 = [0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol618 = [1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol619 = [1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol620 = [0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol621 = [2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol622 = [0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol623 = [0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol624 = [1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol625 = [1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] pubkeycol626 = [1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol627 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol628 = [2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol629 = [1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol630 = [2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol631 = [2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol632 = [2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol633 = [2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol634 = [1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol635 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol636 = [2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol637 = [0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol638 = [1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol639 = [0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0] pubkeycol640 = [2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol641 = [0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1] pubkeycol642 = [1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol643 = [1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol644 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol645 = [1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol646 = [1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol647 = [0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol648 = [0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0] pubkeycol649 = [0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol650 = [2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol651 = [0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol652 = [2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol653 = [0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol654 = [2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol655 = [1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol656 = [0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol657 = [0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0] pubkeycol658 = [2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol659 = [2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol660 = [1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol661 = [0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol662 = [1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol663 = [1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol664 = [1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol665 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol666 = [0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol667 = [2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol668 = [2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol669 = [0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol670 = [2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol671 = [1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol672 = [0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol673 = [2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol674 = [0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol675 = [2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2] pubkeycol676 = [2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol677 = [1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0] pubkeycol678 = [2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol679 = [2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol680 = [0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol681 = [0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol682 = [1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol683 = [0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol684 = [1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol685 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol686 = [0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol687 = [2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol688 = [2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol689 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1] pubkeycol690 = [1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol691 = [2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol692 = [2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol693 = [2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol694 = [2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol695 = [2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol696 = [1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol697 = [1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol698 = [2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2] pubkeycol699 = [2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol700 = [0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol701 = [0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol702 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol703 = [1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol704 = [1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol705 = [1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol706 = [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol707 = [1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol708 = [1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol709 = [1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol710 = [2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol711 = [2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol712 = [0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol713 = [0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol714 = [1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol715 = [0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol716 = [0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol717 = [0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol718 = [2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol719 = [2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol720 = [0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol721 = [2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0] pubkeycol722 = [1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol723 = [0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol724 = [2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol725 = [0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol726 = [0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol727 = [1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2] pubkeycol728 = [1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol729 = [1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0] pubkeycol730 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2] pubkeycol731 = [2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2] pubkeycol732 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol733 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol734 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol735 = [1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol736 = [0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol737 = [0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol738 = [0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol739 = [2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol740 = [0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol741 = [2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1] pubkeycol742 = [0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol743 = [1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol744 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol745 = [0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol746 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol747 = [2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol748 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2] pubkeycol749 = [0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol750 = [1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol751 = [1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol752 = [1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol753 = [1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol754 = [2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol755 = [2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1] pubkeycol756 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol757 = [2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2] pubkeycol758 = [2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2] pubkeycol759 = [1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol760 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol761 = [2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol762 = [1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol763 = [0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol764 = [0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol765 = [2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol766 = [0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol767 = [2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol768 = [1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol769 = [1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol770 = [2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol771 = [2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol772 = [0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol773 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol774 = [1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol775 = [0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol776 = [2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol777 = [2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol778 = [2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol779 = [1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol780 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2] pubkeycol781 = [2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol782 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol783 = [1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol784 = [2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol785 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol786 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol787 = [1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol788 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol789 = [1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol790 = [2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1] pubkeycol791 = [2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2] pubkeycol792 = [1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol793 = [1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol794 = [2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol795 = [1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol796 = [2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol797 = [0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol798 = [0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol799 = [1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol800 = [0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol801 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol802 = [0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol803 = [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol804 = [2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol805 = [1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0] pubkeycol806 = [0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol807 = [2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol808 = [1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol809 = [2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2] pubkeycol810 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol811 = [0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol812 = [2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol813 = [1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol814 = [2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol815 = [0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol816 = [2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol817 = [1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0] pubkeycol818 = [1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol819 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol820 = [2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol821 = [0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol822 = [2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol823 = [2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol824 = [1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0] pubkeycol825 = [1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol826 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol827 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol828 = [1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol829 = [0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol830 = [1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1] pubkeycol831 = [0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol832 = [1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol833 = [1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol834 = [1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol835 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol836 = [0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol837 = [2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol838 = [2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol839 = [0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol840 = [2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol841 = [2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol842 = [0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol843 = [0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol844 = [2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol845 = [2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol846 = [2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol847 = [2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol848 = [2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol849 = [0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol850 = [0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol851 = [2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol852 = [0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol853 = [0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol854 = [0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol855 = [2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol856 = [2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol857 = [0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol858 = [0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol859 = [1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2] pubkeycol860 = [0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol861 = [1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol862 = [2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol863 = [1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol864 = [2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol865 = [2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol866 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol867 = [1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol868 = [0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol869 = [0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol870 = [2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol871 = [1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2] pubkeycol872 = [2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol873 = [2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol874 = [2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol875 = [0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol876 = [0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol877 = [2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0] pubkeycol878 = [1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol879 = [0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol880 = [2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol881 = [2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol882 = [2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol883 = [0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol884 = [0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0] pubkeycol885 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol886 = [1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol887 = [2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol888 = [2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol889 = [1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol890 = [0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol891 = [2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol892 = [0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2] pubkeycol893 = [2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol894 = [1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol895 = [2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol896 = [2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol897 = [2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol898 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol899 = [1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol900 = [1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol901 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0] pubkeycol902 = [2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol903 = [0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1] pubkeycol904 = [1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol905 = [0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol906 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol907 = [2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol908 = [1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol909 = [2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2] pubkeycol910 = [0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2] pubkeycol911 = [2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol912 = [2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol913 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol914 = [2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol915 = [1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol916 = [0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol917 = [2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol918 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol919 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol920 = [0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol921 = [2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2] pubkeycol922 = [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol923 = [2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol924 = [1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol925 = [2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol926 = [1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol927 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol928 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol929 = [1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol930 = [0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1] pubkeycol931 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol932 = [1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol933 = [1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol934 = [1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol935 = [2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol936 = [0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol937 = [2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol938 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol939 = [1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol940 = [2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol941 = [2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol942 = [0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol943 = [1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0] pubkeycol944 = [0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol945 = [2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol946 = [1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol947 = [0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol948 = [0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol949 = [1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol950 = [2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol951 = [1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol952 = [1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol953 = [2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2] pubkeycol954 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0] pubkeycol955 = [2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol956 = [0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol957 = [1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol958 = [0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol959 = [1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol960 = [2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol961 = [1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol962 = [2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol963 = [1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol964 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol965 = [2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1] pubkeycol966 = [2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol967 = [0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol968 = [0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol969 = [1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol970 = [0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol971 = [1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol972 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol973 = [0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol974 = [0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol975 = [0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol976 = [2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol977 = [0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol978 = [2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol979 = [2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol980 = [2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol981 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol982 = [0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol983 = [0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0] pubkeycol984 = [2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol985 = [1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol986 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol987 = [2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol988 = [2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol989 = [1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol990 = [2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2] pubkeycol991 = [1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol992 = [2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol993 = [1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol994 = [0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0] pubkeycol995 = [0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol996 = [2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol997 = [1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol998 = [2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol999 = [0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2] pubkeycol1000 = [0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol1001 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol1002 = [0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol1003 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol1004 = [2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol1005 = [0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol1006 = [1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol1007 = [0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol1008 = [1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol1009 = [1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol1010 = [2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol1011 = [1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1012 = [2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol1013 = [2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol1014 = [0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol1015 = [0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol1016 = [0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1] pubkeycol1017 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol1018 = [2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol1019 = [1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol1020 = [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1021 = [1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol1022 = [1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol1023 = [2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol1024 = [1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol1025 = [1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1026 = [0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol1027 = [1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol1028 = [0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol1029 = [0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol1030 = [0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol1031 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol1032 = [0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol1033 = [1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol1034 = [0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol1035 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol1036 = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1037 = [0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol1038 = [0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol1039 = [2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol1040 = [2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol1041 = [2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol1042 = [2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol1043 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol1044 = [2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol1045 = [1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol1046 = [2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol1047 = [2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1] pubkeycol1048 = [1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1049 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol1050 = [0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol1051 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol1052 = [1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol1053 = [1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2] pubkeycol1054 = [2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol1055 = [1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2] pubkeycol1056 = [1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol1057 = [0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol1058 = [0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol1059 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol1060 = [2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol1061 = [2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol1062 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1063 = [1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2] pubkeycol1064 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol1065 = [2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol1066 = [2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol1067 = [2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol1068 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1] pubkeycol1069 = [2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol1070 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol1071 = [0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1072 = [2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol1073 = [1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol1074 = [0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1075 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2] pubkeycol1076 = [1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol1077 = [2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1] pubkeycol1078 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol1079 = [2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol1080 = [0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1081 = [2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol1082 = [1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol1083 = [1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol1084 = [1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol1085 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol1086 = [2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol1087 = [1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol1088 = [2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol1089 = [2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol1090 = [1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0] pubkeycol1091 = [0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol1092 = [0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol1093 = [1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol1094 = [1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1095 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2] pubkeycol1096 = [2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol1097 = [1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2] pubkeycol1098 = [0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol1099 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol1100 = [1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol1101 = [1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol1102 = [2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol1103 = [0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1] pubkeycol1104 = [2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol1105 = [1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1106 = [0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1] pubkeycol1107 = [0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol1108 = [2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0] pubkeycol1109 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol1110 = [1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol1111 = [0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol1112 = [2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol1113 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol1114 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol1115 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol1116 = [2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol1117 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol1118 = [2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol1119 = [0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol1120 = [2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol1121 = [2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1] pubkeycol1122 = [0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol1123 = [1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol1124 = [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol1125 = [0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol1126 = [0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol1127 = [1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol1128 = [2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol1129 = [1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol1130 = [1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol1131 = [1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol1132 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol1133 = [1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol1134 = [2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol1135 = [2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol1136 = [1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol1137 = [1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol1138 = [0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol1139 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol1140 = [0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol1141 = [2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol1142 = [0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol1143 = [2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol1144 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol1145 = [1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol1146 = [1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol1147 = [1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol1148 = [2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol1149 = [2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol1150 = [1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol1151 = [1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol1152 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol1153 = [1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2] pubkeycol1154 = [1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol1155 = [0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol1156 = [2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol1157 = [2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol1158 = [2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol1159 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol1160 = [0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol1161 = [1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol1162 = [1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol1163 = [2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol1164 = [1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2] pubkeycol1165 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol1166 = [0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol1167 = [2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol1168 = [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol1169 = [2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0] pubkeycol1170 = [2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol1171 = [1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2] pubkeycol1172 = [1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol1173 = [0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol1174 = [1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0] pubkeycol1175 = [0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol1176 = [2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol1177 = [2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol1178 = [2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol1179 = [1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol1180 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol1181 = [1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol1182 = [2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2] pubkeycol1183 = [0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol1184 = [0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1] pubkeycol1185 = [2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1] pubkeycol1186 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol1187 = [1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol1188 = [1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol1189 = [0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1] pubkeycol1190 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol1191 = [2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol1192 = [0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol1193 = [2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol1194 = [1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol1195 = [1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol1196 = [1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol1197 = [0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1] pubkeycol1198 = [1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol1199 = [0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol1200 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol1201 = [2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol1202 = [0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1203 = [1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol1204 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol1205 = [2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol1206 = [0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol1207 = [2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol1208 = [1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol1209 = [1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol1210 = [1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol1211 = [2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol1212 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol1213 = [1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol1214 = [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol1215 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1216 = [0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1] pubkeycol1217 = [2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol1218 = [1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol1219 = [2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0] pubkeycol1220 = [2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol1221 = [1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol1222 = [2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol1223 = [0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol1224 = [2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol1225 = [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol1226 = [1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol1227 = [2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol1228 = [0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol1229 = [2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol1230 = [2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1] pubkeycol1231 = [1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol1232 = [1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol1233 = [1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol1234 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol1235 = [2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol1236 = [0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol1237 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol1238 = [2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol1239 = [2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol1240 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol1241 = [2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1242 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1243 = [2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol1244 = [1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol1245 = [1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol1246 = [0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol1247 = [2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol1248 = [0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol1249 = [1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol1250 = [2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol1251 = [0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol1252 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol1253 = [0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol1254 = [0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol1255 = [2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol1256 = [0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol1257 = [2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol1258 = [0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol1259 = [0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol1260 = [0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0] pubkeycol1261 = [2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol1262 = [1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol1263 = [0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol1264 = [0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol1265 = [1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol1266 = [0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol1267 = [1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol1268 = [1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol1269 = [2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol1270 = [1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol1271 = [2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol1272 = [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol1273 = [0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol1274 = [0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol1275 = [0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol1276 = [1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol1277 = [1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol1278 = [1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol1279 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol1280 = [1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol1281 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1282 = [0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol1283 = [2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol1284 = [1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol1285 = [2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol1286 = [1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol1287 = [2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol1288 = [2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol1289 = [0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol1290 = [2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol1291 = [0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol1292 = [2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol1293 = [2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1] pubkeycol1294 = [0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol1295 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol1296 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol1297 = [2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol1298 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol1299 = [2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol1300 = [2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol1301 = [0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol1302 = [1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol1303 = [2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol1304 = [0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol1305 = [1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol1306 = [2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol1307 = [0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol1308 = [1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol1309 = [0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol1310 = [1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol1311 = [0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol1312 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1313 = [1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol1314 = [0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol1315 = [0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol1316 = [0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol1317 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1] pubkeycol1318 = [1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol1319 = [0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol1320 = [0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol1321 = [1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol1322 = [2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1] pubkeycol1323 = [2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol1324 = [0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1325 = [2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol1326 = [2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol1327 = [1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol1328 = [2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol1329 = [1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol1330 = [2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol1331 = [2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol1332 = [1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0] pubkeycol1333 = [0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol1334 = [0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1335 = [0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol1336 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol1337 = [2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol1338 = [1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol1339 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol1340 = [2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol1341 = [2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol1342 = [2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol1343 = [0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol1344 = [1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1345 = [0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol1346 = [2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol1347 = [0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol1348 = [0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol1349 = [1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol1350 = [1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol1351 = [2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1352 = [0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol1353 = [1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol1354 = [1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol1355 = [1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol1356 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1] pubkeycol1357 = [0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol1358 = [2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol1359 = [0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol1360 = [2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol1361 = [1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol1362 = [2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1363 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol1364 = [1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol1365 = [2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol1366 = [1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol1367 = [1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol1368 = [0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol1369 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol1370 = [0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol1371 = [2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol1372 = [1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol1373 = [0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1374 = [1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol1375 = [1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol1376 = [0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2] pubkeycol1377 = [0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol1378 = [0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol1379 = [0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1]