kilobytes = 71.2490174152307 q = 3 m = 7 n = 1432 s = 0 t = 24 u = 48 k = 1096 w = 36 ciphertext = [0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol336 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol337 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol338 = [1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol339 = [1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol340 = [1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol341 = [1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol342 = [0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2] pubkeycol343 = [1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol344 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol345 = [0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol346 = [2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol347 = [2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol348 = [1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol349 = [0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol350 = [2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol351 = [1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol352 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2] pubkeycol353 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol354 = [2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol355 = [2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol356 = [1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol357 = [1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol358 = [0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1] pubkeycol359 = [1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol360 = [2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol361 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol362 = [0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol363 = [0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0] pubkeycol364 = [2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol365 = [0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol366 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0] pubkeycol367 = [1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol368 = [2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol369 = [1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol370 = [0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol371 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2] pubkeycol372 = [2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol373 = [0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1] pubkeycol374 = [2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol375 = [2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol376 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol377 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol378 = [2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol379 = [0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol380 = [2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol381 = [2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol382 = [2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol383 = [0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol384 = [0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol385 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol386 = [1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol387 = [1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1] pubkeycol388 = [0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol389 = [1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol390 = [0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol391 = [0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol392 = [0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol393 = [2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1] pubkeycol394 = [1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol395 = [1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol396 = [0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol397 = [0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol398 = [1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol399 = [0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol400 = [1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol401 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol402 = [1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol403 = [0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol404 = [2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol405 = [1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol406 = [0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol407 = [2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol408 = [1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol409 = [1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol410 = [2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol411 = [0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2] pubkeycol412 = [0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol413 = [0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol414 = [0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol415 = [2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol416 = [0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol417 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol418 = [1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol419 = [1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol420 = [2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol421 = [2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol422 = [1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol423 = [2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol424 = [1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol425 = [2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol426 = [0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol427 = [2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol428 = [1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol429 = [2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol430 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol431 = [2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol432 = [2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol433 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol434 = [2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol435 = [2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol436 = [1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol437 = [1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol438 = [0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol439 = [1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol440 = [0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol441 = [0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol442 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol443 = [2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol444 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol445 = [2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol446 = [1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol447 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0] pubkeycol448 = [2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol449 = [2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol450 = [1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2] pubkeycol451 = [0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol452 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol453 = [2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol454 = [2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol455 = [0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol456 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol457 = [2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol458 = [2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol459 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol460 = [1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol461 = [0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2] pubkeycol462 = [2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol463 = [2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol464 = [1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol465 = [1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol466 = [2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol467 = [0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol468 = [2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol469 = [1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol470 = [2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol471 = [2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol472 = [2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol473 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol474 = [1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol475 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol476 = [1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol477 = [2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol478 = [0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol479 = [2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol480 = [0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol481 = [0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol482 = [1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol483 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol484 = [1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol485 = [0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2] pubkeycol486 = [2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol487 = [2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol488 = [1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol489 = [2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol490 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol491 = [0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol492 = [0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol493 = [2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol494 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol495 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol496 = [2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol497 = [2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol498 = [2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol499 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol500 = [2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol501 = [1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol502 = [0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol503 = [2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol504 = [1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol505 = [0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2] pubkeycol506 = [0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol507 = [2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol508 = [1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol509 = [2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol510 = [2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2] pubkeycol511 = [0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol512 = [2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol513 = [0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2] pubkeycol514 = [2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol515 = [1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol516 = [0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol517 = [0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol518 = [2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol519 = [2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol520 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol521 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol522 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol523 = [0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol524 = [0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol525 = [1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol526 = [1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol527 = [2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol528 = [2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol529 = [2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2] pubkeycol530 = [0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol531 = [1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol532 = [2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol533 = [2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol534 = [1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol535 = [1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol536 = [1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol537 = [0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol538 = [1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol539 = [1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol540 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2] pubkeycol541 = [2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol542 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol543 = [0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol544 = [2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol545 = [2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol546 = [1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol547 = [2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol548 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol549 = [1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol550 = [0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol551 = [2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol552 = [1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol553 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol554 = [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol555 = [2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol556 = [0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol557 = [1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol558 = [2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol559 = [2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol560 = [1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol561 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol562 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol563 = [0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2] pubkeycol564 = [2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol565 = [0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol566 = [2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol567 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol568 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol569 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0] pubkeycol570 = [1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol571 = [1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol572 = [2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol573 = [1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol574 = [0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol575 = [0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol576 = [1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol577 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol578 = [1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol579 = [2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1] pubkeycol580 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1] pubkeycol581 = [0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1] pubkeycol582 = [1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol583 = [1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol584 = [1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol585 = [2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol586 = [1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol587 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol588 = [2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol589 = [0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol590 = [2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol591 = [0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol592 = [0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol593 = [2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol594 = [0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol595 = [2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol596 = [2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol597 = [1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol598 = [2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol599 = [1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol600 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol601 = [0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol602 = [0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol603 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol604 = [0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol605 = [1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol606 = [0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol607 = [0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol608 = [2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol609 = [1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol610 = [1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol611 = [2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol612 = [0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol613 = [2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol614 = [1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol615 = [1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol616 = [2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol617 = [2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol618 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0] pubkeycol619 = [1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol620 = [0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol621 = [2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol622 = [0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol623 = [1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol624 = [0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol625 = [2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol626 = [0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol627 = [1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol628 = [0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol629 = [2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol630 = [1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol631 = [1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol632 = [0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1] pubkeycol633 = [2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol634 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol635 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol636 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1] pubkeycol637 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0] pubkeycol638 = [1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol639 = [2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol640 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol641 = [0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol642 = [1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol643 = [1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol644 = [0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol645 = [2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol646 = [1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol647 = [2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol648 = [1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol649 = [0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol650 = [0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol651 = [1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol652 = [0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol653 = [2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol654 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol655 = [0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol656 = [1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol657 = [0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol658 = [1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol659 = [0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol660 = [2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol661 = [1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol662 = [0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol663 = [0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol664 = [1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol665 = [0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol666 = [0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol667 = [2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol668 = [1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol669 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol670 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol671 = [2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol672 = [2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol673 = [1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2] pubkeycol674 = [0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol675 = [1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol676 = [2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol677 = [1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol678 = [0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol679 = [0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol680 = [1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol681 = [1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol682 = [2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol683 = [1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol684 = [2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol685 = [0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol686 = [2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol687 = [1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol688 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol689 = [0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol690 = [2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2] pubkeycol691 = [1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol692 = [2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol693 = [2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol694 = [0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol695 = [2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol696 = [2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol697 = [2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol698 = [0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol699 = [0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol700 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol701 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol702 = [1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol703 = [2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol704 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1] pubkeycol705 = [2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol706 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol707 = [1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol708 = [2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol709 = [1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol710 = [1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol711 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol712 = [0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol713 = [0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol714 = [2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol715 = [0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol716 = [1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol717 = [2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol718 = [0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol719 = [2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol720 = [2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol721 = [1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol722 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol723 = [0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol724 = [2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0] pubkeycol725 = [1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol726 = [1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol727 = [0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol728 = [0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol729 = [2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol730 = [1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol731 = [2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol732 = [1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol733 = [1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol734 = [2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol735 = [1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol736 = [2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol737 = [1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol738 = [2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol739 = [1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol740 = [0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol741 = [0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol742 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol743 = [1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol744 = [0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol745 = [0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol746 = [0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol747 = [0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol748 = [1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol749 = [0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol750 = [0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol751 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol752 = [1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol753 = [2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol754 = [2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol755 = [2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol756 = [1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol757 = [2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol758 = [0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol759 = [1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol760 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol761 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol762 = [0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol763 = [1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol764 = [1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol765 = [0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol766 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol767 = [0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol768 = [1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol769 = [0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol770 = [1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol771 = [2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1] pubkeycol772 = [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol773 = [2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol774 = [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol775 = [0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol776 = [0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol777 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol778 = [1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol779 = [2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol780 = [1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol781 = [2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0] pubkeycol782 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol783 = [1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol784 = [1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol785 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol786 = [2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol787 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol788 = [2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2] pubkeycol789 = [1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol790 = [2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol791 = [0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2] pubkeycol792 = [0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol793 = [2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol794 = [1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol795 = [0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol796 = [0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol797 = [0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol798 = [2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol799 = [1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol800 = [0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol801 = [2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0] pubkeycol802 = [2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol803 = [1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0] pubkeycol804 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol805 = [1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol806 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol807 = [0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol808 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol809 = [0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol810 = [1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0] pubkeycol811 = [2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol812 = [1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol813 = [2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol814 = [0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol815 = [1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol816 = [1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol817 = [2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol818 = [1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol819 = [2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol820 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol821 = [1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol822 = [0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1] pubkeycol823 = [2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol824 = [1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol825 = [1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1] pubkeycol826 = [0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol827 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0] pubkeycol828 = [0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol829 = [2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol830 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol831 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2] pubkeycol832 = [2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol833 = [2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol834 = [1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol835 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol836 = [1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol837 = [0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol838 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1] pubkeycol839 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0] pubkeycol840 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol841 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol842 = [0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol843 = [0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol844 = [1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol845 = [1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol846 = [0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol847 = [2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol848 = [2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol849 = [1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol850 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2] pubkeycol851 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol852 = [1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol853 = [1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol854 = [1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol855 = [1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol856 = [1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol857 = [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol858 = [2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol859 = [0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol860 = [1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol861 = [2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol862 = [1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol863 = [0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0] pubkeycol864 = [2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol865 = [1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol866 = [1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol867 = [2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol868 = [1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol869 = [0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol870 = [1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol871 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1] pubkeycol872 = [1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol873 = [2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol874 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0] pubkeycol875 = [1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol876 = [0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol877 = [1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol878 = [1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol879 = [0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol880 = [1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol881 = [0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol882 = [1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol883 = [2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol884 = [2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol885 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol886 = [1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol887 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol888 = [1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol889 = [0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol890 = [1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol891 = [1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol892 = [0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1] pubkeycol893 = [2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol894 = [2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol895 = [1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol896 = [2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1] pubkeycol897 = [0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0] pubkeycol898 = [1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol899 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1] pubkeycol900 = [1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol901 = [0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol902 = [0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0] pubkeycol903 = [2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol904 = [1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol905 = [1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol906 = [1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol907 = [1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol908 = [2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol909 = [2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol910 = [0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol911 = [1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol912 = [2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol913 = [0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0] pubkeycol914 = [1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol915 = [1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0] pubkeycol916 = [0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol917 = [2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol918 = [0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol919 = [1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol920 = [0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol921 = [1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol922 = [2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol923 = [0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol924 = [1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol925 = [2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol926 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0] pubkeycol927 = [1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol928 = [2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol929 = [1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol930 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol931 = [0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol932 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1] pubkeycol933 = [1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol934 = [2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol935 = [1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol936 = [0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol937 = [1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1] pubkeycol938 = [0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol939 = [0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol940 = [0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol941 = [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol942 = [2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol943 = [2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol944 = [0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol945 = [1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol946 = [2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol947 = [0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol948 = [1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol949 = [1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol950 = [0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol951 = [2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol952 = [0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol953 = [1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol954 = [2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2] pubkeycol955 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol956 = [1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol957 = [2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol958 = [0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol959 = [2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol960 = [2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol961 = [0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol962 = [1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol963 = [1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol964 = [1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol965 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol966 = [0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol967 = [2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol968 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol969 = [2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol970 = [2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2] pubkeycol971 = [2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol972 = [1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol973 = [0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol974 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol975 = [1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol976 = [1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol977 = [2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol978 = [0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol979 = [0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol980 = [2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol981 = [2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol982 = [1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol983 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol984 = [2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol985 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol986 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2] pubkeycol987 = [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol988 = [0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol989 = [0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol990 = [1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol991 = [0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol992 = [2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol993 = [1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol994 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol995 = [0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol996 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol997 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol998 = [0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1] pubkeycol999 = [2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol1000 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol1001 = [0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol1002 = [1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol1003 = [0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol1004 = [1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol1005 = [2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol1006 = [1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol1007 = [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol1008 = [2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol1009 = [1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol1010 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol1011 = [0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1012 = [2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol1013 = [1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1014 = [2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol1015 = [2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol1016 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol1017 = [1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol1018 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol1019 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol1020 = [2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1021 = [0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol1022 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol1023 = [2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol1024 = [2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1] pubkeycol1025 = [1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol1026 = [0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol1027 = [0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1] pubkeycol1028 = [0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2] pubkeycol1029 = [1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol1030 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol1031 = [2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol1032 = [1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol1033 = [0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol1034 = [0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol1035 = [2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol1036 = [1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol1037 = [2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol1038 = [1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol1039 = [1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol1040 = [0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol1041 = [1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol1042 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol1043 = [0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol1044 = [2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol1045 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol1046 = [2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol1047 = [0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol1048 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol1049 = [1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol1050 = [1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol1051 = [1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol1052 = [0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol1053 = [0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol1054 = [1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol1055 = [0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol1056 = [0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol1057 = [0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol1058 = [1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol1059 = [0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol1060 = [0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1061 = [0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol1062 = [1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol1063 = [2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol1064 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol1065 = [0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol1066 = [1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol1067 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] pubkeycol1068 = [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol1069 = [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol1070 = [1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol1071 = [0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2] pubkeycol1072 = [1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol1073 = [2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1074 = [0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol1075 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol1076 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol1077 = [1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol1078 = [1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol1079 = [0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol1080 = [1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol1081 = [0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol1082 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0] pubkeycol1083 = [2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol1084 = [0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol1085 = [0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol1086 = [2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2] pubkeycol1087 = [0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol1088 = [0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol1089 = [2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol1090 = [1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol1091 = [0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol1092 = [2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol1093 = [0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol1094 = [2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol1095 = [0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol1096 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol1097 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol1098 = [1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol1099 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol1100 = [0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol1101 = [0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol1102 = [2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol1103 = [0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol1104 = [0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol1105 = [1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol1106 = [0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol1107 = [2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol1108 = [1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol1109 = [1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol1110 = [1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1111 = [2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol1112 = [2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol1113 = [0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol1114 = [0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol1115 = [1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol1116 = [2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol1117 = [2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol1118 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1119 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol1120 = [0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol1121 = [2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol1122 = [0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol1123 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol1124 = [2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol1125 = [0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol1126 = [1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol1127 = [0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol1128 = [2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2] pubkeycol1129 = [2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol1130 = [0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol1131 = [1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1] pubkeycol1132 = [2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol1133 = [0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol1134 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol1135 = [1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol1136 = [1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol1137 = [0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol1138 = [0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol1139 = [2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol1140 = [2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1141 = [1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol1142 = [2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol1143 = [0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol1144 = [2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol1145 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol1146 = [2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol1147 = [0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol1148 = [1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol1149 = [2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol1150 = [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1151 = [2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol1152 = [2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol1153 = [0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol1154 = [0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol1155 = [2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol1156 = [0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol1157 = [2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol1158 = [0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol1159 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol1160 = [1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol1161 = [0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol1162 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0] pubkeycol1163 = [1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol1164 = [0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol1165 = [1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol1166 = [0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol1167 = [0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol1168 = [1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol1169 = [1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol1170 = [2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol1171 = [2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol1172 = [2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol1173 = [0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol1174 = [1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol1175 = [2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol1176 = [1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol1177 = [1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol1178 = [2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol1179 = [1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1] pubkeycol1180 = [2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1181 = [0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol1182 = [0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol1183 = [1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol1184 = [0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol1185 = [2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol1186 = [1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1187 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol1188 = [1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1189 = [2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol1190 = [1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol1191 = [2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol1192 = [2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol1193 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol1194 = [1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol1195 = [1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol1196 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol1197 = [2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol1198 = [2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1199 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol1200 = [0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol1201 = [2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol1202 = [2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol1203 = [0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol1204 = [2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol1205 = [0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1206 = [1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol1207 = [0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol1208 = [0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol1209 = [2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol1210 = [1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol1211 = [1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol1212 = [0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol1213 = [1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2] pubkeycol1214 = [1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol1215 = [0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0] pubkeycol1216 = [1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol1217 = [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol1218 = [1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol1219 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol1220 = [2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2] pubkeycol1221 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol1222 = [0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol1223 = [2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol1224 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol1225 = [1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol1226 = [1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol1227 = [1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol1228 = [1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol1229 = [1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol1230 = [2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1] pubkeycol1231 = [1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol1232 = [1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1] pubkeycol1233 = [0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol1234 = [2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol1235 = [0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol1236 = [1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol1237 = [1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol1238 = [1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol1239 = [0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol1240 = [1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol1241 = [1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol1242 = [0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol1243 = [2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1] pubkeycol1244 = [0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1] pubkeycol1245 = [1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol1246 = [2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol1247 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol1248 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol1249 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol1250 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol1251 = [0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol1252 = [2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol1253 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol1254 = [2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol1255 = [2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol1256 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol1257 = [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol1258 = [1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol1259 = [2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol1260 = [1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol1261 = [1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol1262 = [0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol1263 = [1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol1264 = [2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol1265 = [2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol1266 = [0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol1267 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol1268 = [2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1] pubkeycol1269 = [1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol1270 = [1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol1271 = [1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol1272 = [1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol1273 = [1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol1274 = [1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol1275 = [0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol1276 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol1277 = [0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol1278 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol1279 = [1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol1280 = [1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol1281 = [1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol1282 = [0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol1283 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0] pubkeycol1284 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol1285 = [2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol1286 = [0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol1287 = [1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol1288 = [1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol1289 = [0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1] pubkeycol1290 = [1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol1291 = [2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol1292 = [2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1293 = [0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol1294 = [2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol1295 = [1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol1296 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol1297 = [1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol1298 = [2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol1299 = [2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol1300 = [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol1301 = [0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol1302 = [0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol1303 = [2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol1304 = [2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol1305 = [0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol1306 = [1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol1307 = [0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol1308 = [1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol1309 = [0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2] pubkeycol1310 = [2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol1311 = [0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol1312 = [2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol1313 = [1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1] pubkeycol1314 = [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol1315 = [0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol1316 = [0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol1317 = [0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1318 = [2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol1319 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol1320 = [1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1] pubkeycol1321 = [2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol1322 = [2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol1323 = [0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol1324 = [2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol1325 = [2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0] pubkeycol1326 = [0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol1327 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol1328 = [1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol1329 = [2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol1330 = [0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol1331 = [2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol1332 = [2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol1333 = [2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol1334 = [0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol1335 = [0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol1336 = [2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol1337 = [1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1338 = [2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol1339 = [1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol1340 = [2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol1341 = [0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol1342 = [1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol1343 = [1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1344 = [0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol1345 = [1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol1346 = [0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol1347 = [2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol1348 = [0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol1349 = [0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol1350 = [0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol1351 = [0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol1352 = [1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1353 = [2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol1354 = [0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol1355 = [2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol1356 = [2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol1357 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol1358 = [1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1,