kilobytes = 71.9641079184858 q = 3 m = 7 n = 1443 s = 0 t = 24 u = 48 k = 1107 w = 36 ciphertext = [2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol336 = [2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol337 = [1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol338 = [2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol339 = [2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol340 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol341 = [0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol342 = [2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol343 = [2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol344 = [1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol345 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol346 = [1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol347 = [1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol348 = [2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol349 = [2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol350 = [1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol351 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol352 = [0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1] pubkeycol353 = [1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol354 = [0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol355 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol356 = [1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol357 = [0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol358 = [1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol359 = [2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol360 = [1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol361 = [2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol362 = [0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol363 = [0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol364 = [2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol365 = [1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol366 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol367 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0] pubkeycol368 = [1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol369 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol370 = [2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol371 = [1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol372 = [1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol373 = [0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol374 = [2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol375 = [0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol376 = [0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0] pubkeycol377 = [2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0] pubkeycol378 = [0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol379 = [2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol380 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol381 = [2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol382 = [0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol383 = [2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol384 = [0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol385 = [0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol386 = [1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol387 = [2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol388 = [0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol389 = [0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol390 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol391 = [0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol392 = [2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol393 = [0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol394 = [1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol395 = [0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2] pubkeycol396 = [2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol397 = [1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol398 = [1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol399 = [2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1] pubkeycol400 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0] pubkeycol401 = [0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol402 = [2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol403 = [1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol404 = [2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol405 = [2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1] pubkeycol406 = [1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol407 = [1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol408 = [2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol409 = [2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol410 = [0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol411 = [1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol412 = [2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol413 = [2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol414 = [0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol415 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2] pubkeycol416 = [2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol417 = [2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol418 = [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol419 = [2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol420 = [0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol421 = [2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol422 = [2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol423 = [0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0] pubkeycol424 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol425 = [0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1] pubkeycol426 = [2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol427 = [1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol428 = [0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol429 = [1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol430 = [2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol431 = [2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol432 = [1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0] pubkeycol433 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol434 = [0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol435 = [0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol436 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol437 = [2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol438 = [0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol439 = [2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol440 = [0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol441 = [0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol442 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol443 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol444 = [1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol445 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol446 = [0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol447 = [0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol448 = [2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol449 = [2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol450 = [0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol451 = [0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol452 = [2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol453 = [2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol454 = [2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2] pubkeycol455 = [0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol456 = [0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol457 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol458 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol459 = [0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol460 = [2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol461 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol462 = [2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol463 = [0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol464 = [1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol465 = [1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol466 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol467 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol468 = [2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol469 = [1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol470 = [0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol471 = [1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol472 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol473 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol474 = [0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol475 = [1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol476 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol477 = [1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol478 = [0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol479 = [0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol480 = [2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol481 = [1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol482 = [0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol483 = [0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol484 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol485 = [1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol486 = [1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol487 = [0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol488 = [2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol489 = [2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol490 = [0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol491 = [1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol492 = [1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol493 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol494 = [0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol495 = [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol496 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol497 = [2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol498 = [0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol499 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol500 = [2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol501 = [0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2] pubkeycol502 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol503 = [0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol504 = [2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol505 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol506 = [0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol507 = [2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol508 = [1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol509 = [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol510 = [0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0] pubkeycol511 = [0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2] pubkeycol512 = [1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol513 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol514 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol515 = [1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol516 = [1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol517 = [0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol518 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol519 = [0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol520 = [0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1] pubkeycol521 = [0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol522 = [1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol523 = [1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol524 = [1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol525 = [2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2] pubkeycol526 = [0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol527 = [2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol528 = [0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol529 = [0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol530 = [0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1] pubkeycol531 = [2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2] pubkeycol532 = [1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0] pubkeycol533 = [0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol534 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol535 = [1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol536 = [0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol537 = [0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol538 = [0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2] pubkeycol539 = [2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol540 = [1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1] pubkeycol541 = [0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol542 = [2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol543 = [1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol544 = [1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol545 = [2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol546 = [1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol547 = [1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol548 = [1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol549 = [0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol550 = [1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol551 = [0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol552 = [2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol553 = [2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol554 = [0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol555 = [2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol556 = [0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol557 = [1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol558 = [2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol559 = [1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol560 = [2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol561 = [1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol562 = [0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol563 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2] pubkeycol564 = [0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol565 = [0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol566 = [2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol567 = [0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol568 = [1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol569 = [2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol570 = [1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol571 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol572 = [2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol573 = [2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol574 = [0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol575 = [0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0] pubkeycol576 = [1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol577 = [0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol578 = [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol579 = [2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol580 = [0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol581 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol582 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol583 = [1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1] pubkeycol584 = [0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol585 = [0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol586 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol587 = [2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol588 = [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol589 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol590 = [1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol591 = [2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0] pubkeycol592 = [1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2] pubkeycol593 = [2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol594 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol595 = [2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol596 = [2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol597 = [0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol598 = [1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol599 = [2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol600 = [0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol601 = [0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol602 = [1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol603 = [2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol604 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0] pubkeycol605 = [1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol606 = [2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol607 = [0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol608 = [0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1] pubkeycol609 = [1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol610 = [0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol611 = [1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol612 = [1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol613 = [2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol614 = [1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol615 = [0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol616 = [1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol617 = [2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol618 = [2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol619 = [2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol620 = [0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol621 = [0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol622 = [1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol623 = [2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol624 = [1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol625 = [2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol626 = [2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol627 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol628 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol629 = [2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol630 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol631 = [0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0] pubkeycol632 = [0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol633 = [0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol634 = [1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol635 = [2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol636 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2] pubkeycol637 = [2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol638 = [0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol639 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol640 = [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol641 = [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol642 = [1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol643 = [0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol644 = [0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1] pubkeycol645 = [2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol646 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol647 = [2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol648 = [2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol649 = [1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol650 = [0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol651 = [1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1] pubkeycol652 = [0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0] pubkeycol653 = [2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol654 = [0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol655 = [2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol656 = [0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol657 = [2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol658 = [2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2] pubkeycol659 = [1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol660 = [1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol661 = [1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol662 = [2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol663 = [0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol664 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol665 = [2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol666 = [0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol667 = [2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol668 = [1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol669 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol670 = [2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol671 = [0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol672 = [0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol673 = [0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1] pubkeycol674 = [0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol675 = [0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol676 = [2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol677 = [0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol678 = [1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol679 = [1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1] pubkeycol680 = [2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol681 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol682 = [2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol683 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol684 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol685 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol686 = [2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol687 = [0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol688 = [1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol689 = [0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol690 = [0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol691 = [1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol692 = [0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol693 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol694 = [2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol695 = [0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol696 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol697 = [2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol698 = [2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol699 = [2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol700 = [0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2] pubkeycol701 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol702 = [0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1] pubkeycol703 = [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol704 = [1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2] pubkeycol705 = [2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol706 = [0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol707 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol708 = [2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol709 = [1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol710 = [2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol711 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol712 = [0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol713 = [0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol714 = [2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol715 = [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol716 = [2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0] pubkeycol717 = [2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol718 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol719 = [1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol720 = [2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1] pubkeycol721 = [0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol722 = [2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol723 = [1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol724 = [2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol725 = [1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol726 = [0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol727 = [1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol728 = [1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol729 = [0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol730 = [2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol731 = [0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol732 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol733 = [2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol734 = [2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol735 = [1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol736 = [1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol737 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol738 = [1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol739 = [1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol740 = [0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol741 = [1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol742 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol743 = [0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol744 = [1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol745 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol746 = [2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol747 = [0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol748 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol749 = [0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol750 = [2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol751 = [1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol752 = [1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol753 = [2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2] pubkeycol754 = [0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol755 = [0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol756 = [2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol757 = [2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol758 = [0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol759 = [2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol760 = [2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol761 = [2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol762 = [1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol763 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol764 = [1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol765 = [2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol766 = [0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol767 = [1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1] pubkeycol768 = [1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol769 = [1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol770 = [1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol771 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol772 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol773 = [0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol774 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol775 = [0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol776 = [2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol777 = [2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol778 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol779 = [2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol780 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol781 = [2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol782 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol783 = [0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol784 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol785 = [1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1] pubkeycol786 = [1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol787 = [0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol788 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol789 = [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol790 = [1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol791 = [2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol792 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol793 = [1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol794 = [2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol795 = [1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol796 = [1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol797 = [0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol798 = [2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol799 = [1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol800 = [1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol801 = [0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol802 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol803 = [2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0] pubkeycol804 = [1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol805 = [0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol806 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol807 = [2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol808 = [1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol809 = [1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol810 = [0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1] pubkeycol811 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol812 = [1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1] pubkeycol813 = [1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol814 = [2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol815 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2] pubkeycol816 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol817 = [2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0] pubkeycol818 = [2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol819 = [1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol820 = [1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol821 = [0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol822 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol823 = [0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol824 = [0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol825 = [1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol826 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol827 = [2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol828 = [1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol829 = [0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol830 = [1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol831 = [0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol832 = [0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol833 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol834 = [0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol835 = [0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol836 = [2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol837 = [1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol838 = [2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol839 = [0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2] pubkeycol840 = [2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol841 = [2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol842 = [1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol843 = [2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol844 = [2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol845 = [0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol846 = [0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol847 = [0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1] pubkeycol848 = [1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1] pubkeycol849 = [1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol850 = [0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1] pubkeycol851 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0] pubkeycol852 = [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol853 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol854 = [0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol855 = [0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol856 = [0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol857 = [1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol858 = [0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol859 = [0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol860 = [0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol861 = [1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol862 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol863 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol864 = [2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol865 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol866 = [1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol867 = [1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol868 = [1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2] pubkeycol869 = [2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol870 = [2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol871 = [0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol872 = [2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol873 = [1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol874 = [2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol875 = [1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol876 = [2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol877 = [2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol878 = [2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol879 = [0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol880 = [1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol881 = [0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol882 = [2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol883 = [0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol884 = [2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol885 = [0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol886 = [2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol887 = [1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol888 = [2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol889 = [1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol890 = [0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol891 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol892 = [0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol893 = [1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol894 = [1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol895 = [0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol896 = [1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol897 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol898 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0] pubkeycol899 = [0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol900 = [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1] pubkeycol901 = [0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol902 = [1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol903 = [2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol904 = [1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol905 = [2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol906 = [1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol907 = [0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol908 = [0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1] pubkeycol909 = [2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol910 = [2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol911 = [0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol912 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol913 = [1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol914 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol915 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol916 = [1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol917 = [1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol918 = [1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol919 = [1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol920 = [0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol921 = [2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol922 = [2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol923 = [0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol924 = [2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol925 = [1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol926 = [1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol927 = [2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol928 = [2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol929 = [2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol930 = [0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol931 = [2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol932 = [1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol933 = [0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol934 = [2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol935 = [1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol936 = [0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol937 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol938 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1] pubkeycol939 = [0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol940 = [0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol941 = [2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol942 = [1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol943 = [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol944 = [1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol945 = [1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol946 = [1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0] pubkeycol947 = [0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol948 = [0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol949 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol950 = [0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol951 = [1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol952 = [1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol953 = [2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol954 = [1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol955 = [1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1] pubkeycol956 = [1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol957 = [0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol958 = [1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol959 = [2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol960 = [0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol961 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol962 = [2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol963 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2] pubkeycol964 = [1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol965 = [2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol966 = [1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0] pubkeycol967 = [0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol968 = [1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol969 = [2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol970 = [1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol971 = [1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol972 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol973 = [1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2] pubkeycol974 = [0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol975 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol976 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0] pubkeycol977 = [0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol978 = [1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol979 = [0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol980 = [0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol981 = [1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol982 = [1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol983 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol984 = [2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol985 = [2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol986 = [1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol987 = [0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol988 = [1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol989 = [0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol990 = [2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol991 = [1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2] pubkeycol992 = [1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol993 = [1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol994 = [2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol995 = [2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol996 = [0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol997 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1] pubkeycol998 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0] pubkeycol999 = [1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol1000 = [2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol1001 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol1002 = [2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol1003 = [2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol1004 = [0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2] pubkeycol1005 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol1006 = [1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol1007 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol1008 = [2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol1009 = [2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol1010 = [1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol1011 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol1012 = [0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol1013 = [2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol1014 = [1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol1015 = [1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol1016 = [0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol1017 = [1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol1018 = [0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0] pubkeycol1019 = [2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol1020 = [2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol1021 = [0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1022 = [1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol1023 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol1024 = [0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol1025 = [2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1026 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol1027 = [0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0] pubkeycol1028 = [1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol1029 = [0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol1030 = [1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol1031 = [2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1] pubkeycol1032 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol1033 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol1034 = [2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1035 = [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0] pubkeycol1036 = [1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol1037 = [2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol1038 = [2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol1039 = [1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0] pubkeycol1040 = [1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol1041 = [0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol1042 = [0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol1043 = [1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol1044 = [2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol1045 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol1046 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol1047 = [2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol1048 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol1049 = [1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol1050 = [2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol1051 = [2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol1052 = [0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol1053 = [0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol1054 = [2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol1055 = [1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol1056 = [1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2] pubkeycol1057 = [1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol1058 = [0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol1059 = [0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol1060 = [0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol1061 = [2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol1062 = [0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol1063 = [2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol1064 = [1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1065 = [2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol1066 = [0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol1067 = [2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol1068 = [2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol1069 = [1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol1070 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol1071 = [2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol1072 = [0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol1073 = [2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol1074 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol1075 = [2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol1076 = [0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1077 = [0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol1078 = [0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol1079 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0] pubkeycol1080 = [0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol1081 = [2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol1082 = [0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol1083 = [1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol1084 = [1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol1085 = [2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol1086 = [1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1] pubkeycol1087 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1088 = [1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol1089 = [1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol1090 = [1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol1091 = [1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol1092 = [2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1093 = [1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol1094 = [0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol1095 = [2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol1096 = [0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol1097 = [2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol1098 = [2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol1099 = [0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1100 = [2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol1101 = [0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol1102 = [2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol1103 = [2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol1104 = [1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol1105 = [0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2] pubkeycol1106 = [2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol1107 = [0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol1108 = [2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1] pubkeycol1109 = [1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol1110 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol1111 = [2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol1112 = [0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1113 = [0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol1114 = [1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol1115 = [0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol1116 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1117 = [2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol1118 = [0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol1119 = [0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol1120 = [2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol1121 = [1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol1122 = [0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1] pubkeycol1123 = [1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol1124 = [1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol1125 = [2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1126 = [1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol1127 = [0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol1128 = [1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1] pubkeycol1129 = [1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol1130 = [0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol1131 = [1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol1132 = [0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol1133 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol1134 = [0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol1135 = [0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol1136 = [1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol1137 = [2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol1138 = [1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol1139 = [0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol1140 = [0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol1141 = [1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol1142 = [0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol1143 = [2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol1144 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol1145 = [2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol1146 = [1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol1147 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol1148 = [0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol1149 = [1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol1150 = [0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol1151 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol1152 = [0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol1153 = [1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol1154 = [2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol1155 = [1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol1156 = [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol1157 = [1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol1158 = [0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol1159 = [0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol1160 = [2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2] pubkeycol1161 = [2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol1162 = [0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol1163 = [2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol1164 = [2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol1165 = [0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol1166 = [1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol1167 = [2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol1168 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol1169 = [2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol1170 = [2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1171 = [0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol1172 = [0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol1173 = [2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol1174 = [0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol1175 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol1176 = [2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol1177 = [1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol1178 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol1179 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol1180 = [1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol1181 = [2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol1182 = [1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol1183 = [2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol1184 = [1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol1185 = [0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol1186 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol1187 = [1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol1188 = [0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol1189 = [2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol1190 = [0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol1191 = [2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol1192 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol1193 = [1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol1194 = [1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol1195 = [0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol1196 = [1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol1197 = [2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol1198 = [1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0] pubkeycol1199 = [2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol1200 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol1201 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol1202 = [2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1] pubkeycol1203 = [2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol1204 = [1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol1205 = [0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2] pubkeycol1206 = [1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol1207 = [0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol1208 = [0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2] pubkeycol1209 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol1210 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol1211 = [1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol1212 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1213 = [2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol1214 = [2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol1215 = [0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol1216 = [0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol1217 = [1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol1218 = [0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1219 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1220 = [0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol1221 = [0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol1222 = [1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0] pubkeycol1223 = [2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol1224 = [1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1] pubkeycol1225 = [1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol1226 = [1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2] pubkeycol1227 = [0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol1228 = [0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol1229 = [1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol1230 = [1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1] pubkeycol1231 = [2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol1232 = [0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol1233 = [2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2] pubkeycol1234 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1235 = [2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol1236 = [1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol1237 = [1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol1238 = [1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol1239 = [1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol1240 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol1241 = [0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1242 = [2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol1243 = [0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol1244 = [0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol1245 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol1246 = [1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol1247 = [2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol1248 = [1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol1249 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol1250 = [0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol1251 = [0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol1252 = [1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol1253 = [2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol1254 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol1255 = [0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0] pubkeycol1256 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol1257 = [2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol1258 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1259 = [0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol1260 = [0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol1261 = [1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol1262 = [1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol1263 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol1264 = [0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol1265 = [2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol1266 = [0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1] pubkeycol1267 = [1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol1268 = [1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol1269 = [2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol1270 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol1271 = [1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol1272 = [2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol1273 = [2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol1274 = [1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol1275 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0] pubkeycol1276 = [1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol1277 = [1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol1278 = [1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1] pubkeycol1279 = [2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1280 = [1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2] pubkeycol1281 = [1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol1282 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol1283 = [0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol1284 = [1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol1285 = [2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol1286 = [0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol1287 = [1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0] pubkeycol1288 = [2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol1289 = [0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol1290 = [2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol1291 = [0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol1292 = [0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol1293 = [1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol1294 = [1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol1295 = [2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol1296 = [1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol1297 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol1298 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol1299 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol1300 = [1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1301 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol1302 = [0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol1303 = [2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol1304 = [0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol1305 = [1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol1306 = [1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0] pubkeycol1307 = [0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol1308 = [2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2] pubkeycol1309 = [0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0] pubkeycol1310 = [2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol1311 = [2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol1312 = [2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol1313 = [0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol1314 = [2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1315 = [1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1316 = [0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol1317 = [2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1318 = [2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1] pubkeycol1319 = [0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol1320 = [2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol1321 = [0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol1322 = [0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol1323 = [0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol1324 = [1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol1325 = [2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol1326 = [2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1327 = [2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol1328 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol1329 = [1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol1330 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0] pubkeycol1331 = [1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol1332 = [1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol1333 = [1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0] pubkeycol1334 = [2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol1335 = [1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol1336 = [0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol1337 = [2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol1338 = [0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol1339 = [2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol1340 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol1341 = [1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol1342 = [1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol1343 = [2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol1344 = [0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol1345 = [1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol1346 = [1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol1347 = [0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol1348 = [1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0] pubkeycol1349 = [0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol1350 = [2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol1351 = [0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol1352 = [1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol1353 = [2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol1354 = [1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol1355 = [1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol1356 = [2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol1357 = [1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol1358 = [0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1,