kilobytes = 59.0274706323262 q = 3 m = 7 n = 1244 s = 0 t = 24 u = 48 k = 908 w = 36 ciphertext = [2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol336 = [0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol337 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol338 = [2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol339 = [0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol340 = [2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol341 = [0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol342 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol343 = [0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol344 = [2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol345 = [1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol346 = [0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol347 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol348 = [1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0] pubkeycol349 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol350 = [0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol351 = [0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol352 = [0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol353 = [1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol354 = [0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol355 = [0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1] pubkeycol356 = [2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol357 = [0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2] pubkeycol358 = [2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol359 = [0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol360 = [1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol361 = [2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0] pubkeycol362 = [1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol363 = [2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol364 = [1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol365 = [2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol366 = [2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1] pubkeycol367 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol368 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0] pubkeycol369 = [0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol370 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol371 = [0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol372 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol373 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol374 = [1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1] pubkeycol375 = [0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol376 = [1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol377 = [2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol378 = [0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1] pubkeycol379 = [0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol380 = [1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1] pubkeycol381 = [2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol382 = [0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol383 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol384 = [1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol385 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol386 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1] pubkeycol387 = [0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol388 = [2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol389 = [2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol390 = [2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol391 = [2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol392 = [0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol393 = [0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol394 = [0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol395 = [2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol396 = [0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol397 = [2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol398 = [1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol399 = [2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol400 = [1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol401 = [1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol402 = [0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol403 = [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol404 = [0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol405 = [0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol406 = [2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol407 = [0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2] pubkeycol408 = [1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol409 = [2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol410 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol411 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0] pubkeycol412 = [1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol413 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol414 = [1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol415 = [1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol416 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2] pubkeycol417 = [1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2] pubkeycol418 = [2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol419 = [1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol420 = [2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol421 = [1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol422 = [2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol423 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol424 = [2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol425 = [1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol426 = [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol427 = [0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol428 = [0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol429 = [1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol430 = [2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol431 = [1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol432 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol433 = [2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol434 = [2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol435 = [0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol436 = [0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol437 = [0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol438 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol439 = [2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol440 = [2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol441 = [0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol442 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol443 = [2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol444 = [2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2] pubkeycol445 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol446 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol447 = [0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol448 = [2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol449 = [1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol450 = [1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol451 = [1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2] pubkeycol452 = [0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol453 = [0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol454 = [0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0] pubkeycol455 = [1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol456 = [2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol457 = [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol458 = [2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol459 = [1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol460 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1] pubkeycol461 = [2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol462 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol463 = [1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol464 = [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol465 = [2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol466 = [0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol467 = [0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol468 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol469 = [1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol470 = [1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol471 = [1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol472 = [1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol473 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol474 = [2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol475 = [2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol476 = [2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol477 = [0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol478 = [2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol479 = [0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol480 = [0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol481 = [2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol482 = [2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol483 = [2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol484 = [0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol485 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0] pubkeycol486 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0] pubkeycol487 = [2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol488 = [2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol489 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol490 = [1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol491 = [2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol492 = [1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol493 = [1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol494 = [2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol495 = [0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol496 = [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol497 = [2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol498 = [0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol499 = [1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol500 = [1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol501 = [0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol502 = [2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2] pubkeycol503 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol504 = [2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol505 = [2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol506 = [0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol507 = [0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol508 = [1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol509 = [2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol510 = [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol511 = [2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol512 = [2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol513 = [2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol514 = [0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol515 = [1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol516 = [0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol517 = [0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol518 = [2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol519 = [2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol520 = [2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol521 = [0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol522 = [1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1] pubkeycol523 = [2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol524 = [1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol525 = [2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol526 = [2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol527 = [0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol528 = [2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol529 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol530 = [1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol531 = [1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2] pubkeycol532 = [1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1] pubkeycol533 = [1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol534 = [0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol535 = [0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol536 = [1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0] pubkeycol537 = [0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol538 = [1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol539 = [2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol540 = [0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol541 = [1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol542 = [0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol543 = [0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol544 = [0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol545 = [2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol546 = [1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol547 = [2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol548 = [1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol549 = [1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol550 = [2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol551 = [0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol552 = [0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol553 = [0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol554 = [2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0] pubkeycol555 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol556 = [2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol557 = [1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol558 = [0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol559 = [1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol560 = [2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol561 = [1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol562 = [1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol563 = [2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol564 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2] pubkeycol565 = [1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol566 = [1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol567 = [0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol568 = [0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol569 = [0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol570 = [1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol571 = [0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol572 = [0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol573 = [1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol574 = [2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol575 = [1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol576 = [2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol577 = [0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol578 = [2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol579 = [1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol580 = [0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol581 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0] pubkeycol582 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol583 = [2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol584 = [2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol585 = [1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0] pubkeycol586 = [1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol587 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol588 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol589 = [1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol590 = [2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol591 = [0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol592 = [2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol593 = [1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol594 = [1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol595 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol596 = [0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol597 = [2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol598 = [2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol599 = [1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol600 = [1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol601 = [2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol602 = [0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol603 = [2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol604 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol605 = [0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol606 = [2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol607 = [0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol608 = [2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol609 = [1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol610 = [2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol611 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol612 = [1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol613 = [2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol614 = [2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1] pubkeycol615 = [2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol616 = [2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol617 = [1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol618 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0] pubkeycol619 = [2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol620 = [0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol621 = [1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol622 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol623 = [1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol624 = [0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol625 = [2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol626 = [0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol627 = [0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol628 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol629 = [0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol630 = [0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol631 = [1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol632 = [2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol633 = [2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol634 = [2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol635 = [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol636 = [1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol637 = [1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol638 = [2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol639 = [0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol640 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol641 = [1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0] pubkeycol642 = [2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol643 = [2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol644 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol645 = [1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1] pubkeycol646 = [0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol647 = [2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol648 = [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0] pubkeycol649 = [0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol650 = [2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol651 = [1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol652 = [0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol653 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol654 = [0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol655 = [2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol656 = [2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol657 = [2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1] pubkeycol658 = [0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol659 = [1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol660 = [2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol661 = [1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0] pubkeycol662 = [0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol663 = [0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol664 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol665 = [0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol666 = [2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol667 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol668 = [0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol669 = [0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol670 = [1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol671 = [2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol672 = [0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol673 = [0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol674 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol675 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol676 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol677 = [1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol678 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol679 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol680 = [2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol681 = [1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol682 = [0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol683 = [1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol684 = [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol685 = [2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol686 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol687 = [0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol688 = [0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol689 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol690 = [2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol691 = [2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol692 = [0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol693 = [1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol694 = [0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol695 = [2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol696 = [0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol697 = [0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol698 = [1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol699 = [2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol700 = [1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol701 = [2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol702 = [0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol703 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol704 = [1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol705 = [1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol706 = [2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol707 = [1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol708 = [0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol709 = [2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol710 = [2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol711 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol712 = [0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol713 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol714 = [2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol715 = [1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol716 = [0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol717 = [0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol718 = [0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol719 = [1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol720 = [2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol721 = [0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol722 = [2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol723 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol724 = [0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol725 = [0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol726 = [1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol727 = [1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol728 = [2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol729 = [1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol730 = [1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol731 = [2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol732 = [0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol733 = [2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol734 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol735 = [2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol736 = [1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol737 = [1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol738 = [1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol739 = [1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol740 = [0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol741 = [2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1] pubkeycol742 = [1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol743 = [1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0] pubkeycol744 = [2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol745 = [2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol746 = [0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol747 = [0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol748 = [2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0] pubkeycol749 = [1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol750 = [2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol751 = [2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol752 = [1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol753 = [2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol754 = [1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol755 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol756 = [2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol757 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol758 = [1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol759 = [0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol760 = [0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0] pubkeycol761 = [0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol762 = [1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol763 = [2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol764 = [0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol765 = [1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol766 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol767 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol768 = [0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol769 = [2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol770 = [1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol771 = [0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2] pubkeycol772 = [1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0] pubkeycol773 = [1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol774 = [0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol775 = [1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1] pubkeycol776 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol777 = [1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol778 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol779 = [1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol780 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol781 = [2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1] pubkeycol782 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol783 = [2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol784 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol785 = [2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol786 = [1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol787 = [0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol788 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol789 = [2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol790 = [1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol791 = [1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol792 = [1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol793 = [2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol794 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol795 = [1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol796 = [1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol797 = [2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol798 = [0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol799 = [0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol800 = [0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol801 = [1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol802 = [1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2] pubkeycol803 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol804 = [0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol805 = [1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol806 = [1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol807 = [0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol808 = [0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol809 = [0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol810 = [2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol811 = [2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol812 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol813 = [1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol814 = [1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0] pubkeycol815 = [1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol816 = [1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol817 = [2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol818 = [1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol819 = [2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2] pubkeycol820 = [2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol821 = [0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol822 = [1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol823 = [1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol824 = [0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol825 = [0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol826 = [0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol827 = [1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2] pubkeycol828 = [0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol829 = [2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol830 = [0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol831 = [2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol832 = [1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol833 = [2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol834 = [0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol835 = [2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol836 = [2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol837 = [1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol838 = [2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol839 = [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol840 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol841 = [0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol842 = [0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol843 = [0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol844 = [0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol845 = [0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol846 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1] pubkeycol847 = [0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol848 = [1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol849 = [2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol850 = [0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol851 = [2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol852 = [2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol853 = [0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0] pubkeycol854 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol855 = [0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol856 = [2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol857 = [0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol858 = [2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol859 = [0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol860 = [2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol861 = [1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol862 = [1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol863 = [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol864 = [1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2] pubkeycol865 = [2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol866 = [0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol867 = [2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol868 = [1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1] pubkeycol869 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol870 = [0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol871 = [1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol872 = [1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol873 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol874 = [0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol875 = [0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol876 = [2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol877 = [0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2] pubkeycol878 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol879 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol880 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol881 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol882 = [1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol883 = [2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol884 = [2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol885 = [0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol886 = [1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol887 = [2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol888 = [2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol889 = [2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol890 = [0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol891 = [0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol892 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol893 = [1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol894 = [1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol895 = [0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol896 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol897 = [0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol898 = [1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol899 = [2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol900 = [2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol901 = [2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1] pubkeycol902 = [2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1] pubkeycol903 = [2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2] pubkeycol904 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol905 = [1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol906 = [0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol907 = [0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol908 = [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol909 = [1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1] pubkeycol910 = [0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol911 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol912 = [2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0] pubkeycol913 = [1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol914 = [0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol915 = [1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol916 = [2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol917 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1] pubkeycol918 = [1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol919 = [1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol920 = [1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol921 = [1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol922 = [1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol923 = [2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol924 = [0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol925 = [2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol926 = [0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2] pubkeycol927 = [1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol928 = [2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol929 = [0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol930 = [2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol931 = [0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol932 = [1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol933 = [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol934 = [1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol935 = [1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol936 = [1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol937 = [0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol938 = [0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol939 = [1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol940 = [1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol941 = [2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol942 = [2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol943 = [0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol944 = [0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol945 = [0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol946 = [1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2] pubkeycol947 = [1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol948 = [0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1] pubkeycol949 = [1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol950 = [2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol951 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol952 = [1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol953 = [0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol954 = [2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol955 = [1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol956 = [1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol957 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2] pubkeycol958 = [2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol959 = [1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol960 = [2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol961 = [1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol962 = [2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol963 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol964 = [2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol965 = [2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol966 = [1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol967 = [2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol968 = [2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol969 = [2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol970 = [1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol971 = [1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0] pubkeycol972 = [1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol973 = [2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol974 = [1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol975 = [1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0] pubkeycol976 = [0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol977 = [0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol978 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol979 = [1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol980 = [0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol981 = [2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol982 = [2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol983 = [1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol984 = [2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol985 = [2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol986 = [2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol987 = [0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol988 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol989 = [1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol990 = [2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol991 = [1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol992 = [0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol993 = [2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol994 = [1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol995 = [0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0] pubkeycol996 = [2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol997 = [1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol998 = [0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol999 = [2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1] pubkeycol1000 = [2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1] pubkeycol1001 = [1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol1002 = [0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol1003 = [2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol1004 = [2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol1005 = [2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol1006 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol1007 = [2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol1008 = [2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol1009 = [1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol1010 = [1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol1011 = [1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1012 = [0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol1013 = [1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol1014 = [0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2] pubkeycol1015 = [1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol1016 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol1017 = [1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol1018 = [0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol1019 = [2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol1020 = [2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol1021 = [2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol1022 = [1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol1023 = [0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol1024 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol1025 = [0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol1026 = [0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol1027 = [2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol1028 = [1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol1029 = [2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol1030 = [2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol1031 = [2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol1032 = [1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol1033 = [0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1] pubkeycol1034 = [1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol1035 = [2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1] pubkeycol1036 = [0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol1037 = [0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol1038 = [0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1] pubkeycol1039 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol1040 = [1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol1041 = [2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol1042 = [2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol1043 = [2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol1044 = [2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol1045 = [0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol1046 = [0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol1047 = [0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol1048 = [0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol1049 = [2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol1050 = [0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol1051 = [1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol1052 = [2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol1053 = [1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0] pubkeycol1054 = [1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol1055 = [1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0] pubkeycol1056 = [2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol1057 = [0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol1058 = [0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol1059 = [1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol1060 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2] pubkeycol1061 = [0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2] pubkeycol1062 = [1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1] pubkeycol1063 = [0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol1064 = [0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol1065 = [2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol1066 = [1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol1067 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol1068 = [0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol1069 = [0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol1070 = [2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol1071 = [1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol1072 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol1073 = [1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol1074 = [1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2] pubkeycol1075 = [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol1076 = [0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol1077 = [1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol1078 = [2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol1079 = [0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol1080 = [2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1081 = [2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol1082 = [1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol1083 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol1084 = [2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol1085 = [1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol1086 = [0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol1087 = [0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol1088 = [0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol1089 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol1090 = [2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol1091 = [1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol1092 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol1093 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol1094 = [2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol1095 = [1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol1096 = [2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1] pubkeycol1097 = [1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1098 = [1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol1099 = [0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol1100 = [0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol1101 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol1102 = [1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol1103 = [2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol1104 = [0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol1105 = [1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol1106 = [0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0] pubkeycol1107 = [1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol1108 = [0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1109 = [1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol1110 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol1111 = [1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol1112 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol1113 = [1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0] pubkeycol1114 = [2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol1115 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol1116 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol1117 = [1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1] pubkeycol1118 = [2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0] pubkeycol1119 = [1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol1120 = [2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1] pubkeycol1121 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol1122 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol1123 = [0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol1124 = [0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol1125 = [0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol1126 = [1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol1127 = [0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol1128 = [1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol1129 = [0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1130 = [0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol1131 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol1132 = [2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol1133 = [1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol1134 = [0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol1135 = [0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1136 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2] pubkeycol1137 = [1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol1138 = [2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol1139 = [2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol1140 = [1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol1141 = [0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol1142 = [0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol1143 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol1144 = [1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol1145 = [2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol1146 = [0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol1147 = [1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol1148 = [0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol1149 = [1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol1150 = [0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol1151 = [0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol1152 = [1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0] pubkeycol1153 = [2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol1154 = [2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol1155 = [1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol1156 = [2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol1157 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol1158 = [1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol1159 = [0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol1160 = [1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol1161 = [0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol1162 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol1163 = [1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol1164 = [0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol1165 = [1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1] pubkeycol1166 = [1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol1167 = [2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1168 = [1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol1169 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol1170 = [2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol1171 = [1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol1172 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol1173 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol1174 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol1175 = [0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol1176 = [0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol1177 = [2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol1178 = [0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0] pubkeycol1179 = [2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol1180 = [1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol1181 = [1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol1182 = [0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol1183 = [0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1184 = [0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol1185 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1] pubkeycol1186 = [2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol1187 = [1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1188 = [0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0] pubkeycol1189 = [0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol1190 = [1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0] pubkeycol1191 = [1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol1192 = [0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol1193 = [0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol1194 = [0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol1195 = [2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol1196 = [2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol1197 = [0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol1198 = [0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol1199 = [2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol1200 = [2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol1201 = [1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol1202 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1] pubkeycol1203 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol1204 = [2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol1205 = [1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol1206 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol1207 = [1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol1208 = [0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol1209 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol1210 = [0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2] pubkeycol1211 = [1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol1212 = [0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol1213 = [2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol1214 = [0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol1215 = [0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol1216 = [1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol1217 = [1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol1218 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol1219 = [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1220 = [0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol1221 = [0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2] pubkeycol1222 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol1223 = [2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol1224 = [1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol1225 = [2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol1226 = [2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol1227 = [0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol1228 = [2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol1229 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1230 = [0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol1231 = [2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1232 = [0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol1233 = [1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol1234 = [0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol1235 = [2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol1236 = [2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol1237 = [1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0] pubkeycol1238 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol1239 = [1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1] pubkeycol1240 = [1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1] pubkeycol1241 = [1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol1242 = [2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol1243 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0]