kilobytes = 91.9758073050325 q = 3 m = 7 n = 1670 s = 0 t = 26 u = 52 k = 1306 w = 39 ciphertext = [0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol364 = [1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0] pubkeycol365 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol366 = [1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol367 = [2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol368 = [2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol369 = [1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol370 = [1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol371 = [2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol372 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol373 = [1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol374 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol375 = [1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol376 = [0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0] pubkeycol377 = [2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol378 = [2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol379 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol380 = [2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol381 = [0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol382 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol383 = [1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol384 = [1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol385 = [0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol386 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol387 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol388 = [0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol389 = [1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol390 = [1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol391 = [2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol392 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol393 = [2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1] pubkeycol394 = [1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol395 = [1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol396 = [0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol397 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol398 = [2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol399 = [0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol400 = [0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol401 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol402 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol403 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol404 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol405 = [1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol406 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol407 = [1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol408 = [1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol409 = [0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol410 = [1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol411 = [1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol412 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol413 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol414 = [2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2] pubkeycol415 = [2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol416 = [1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol417 = [1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol418 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol419 = [0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol420 = [1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol421 = [1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol422 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol423 = [0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1] pubkeycol424 = [2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol425 = [2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol426 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol427 = [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol428 = [1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol429 = [0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol430 = [0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0] pubkeycol431 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol432 = [1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol433 = [1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol434 = [1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol435 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol436 = [2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol437 = [2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol438 = [0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol439 = [1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol440 = [2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol441 = [1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol442 = [0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol443 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol444 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol445 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol446 = [0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol447 = [0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol448 = [2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol449 = [1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol450 = [1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol451 = [0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol452 = [0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol453 = [2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol454 = [1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol455 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1] pubkeycol456 = [2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol457 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0] pubkeycol458 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1] pubkeycol459 = [1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol460 = [0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol461 = [2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol462 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol463 = [0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol464 = [2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol465 = [2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol466 = [1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol467 = [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol468 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol469 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol470 = [0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol471 = [0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol472 = [0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol473 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol474 = [0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol475 = [1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol476 = [2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol477 = [2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol478 = [1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol479 = [2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol480 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2] pubkeycol481 = [1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol482 = [0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol483 = [2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol484 = [0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol485 = [0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol486 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol487 = [1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol488 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol489 = [2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1] pubkeycol490 = [1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol491 = [0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol492 = [2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol493 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol494 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol495 = [2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol496 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol497 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol498 = [2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol499 = [1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol500 = [0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol501 = [0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol502 = [1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2] pubkeycol503 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol504 = [0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol505 = [2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol506 = [0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol507 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol508 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0] pubkeycol509 = [2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol510 = [1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1] pubkeycol511 = [1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol512 = [0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol513 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol514 = [2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol515 = [1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol516 = [2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol517 = [1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol518 = [1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol519 = [1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol520 = [0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol521 = [2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol522 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol523 = [0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1] pubkeycol524 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol525 = [0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol526 = [1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol527 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol528 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol529 = [1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol530 = [0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol531 = [0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol532 = [2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0] pubkeycol533 = [0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol534 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol535 = [2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol536 = [2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol537 = [0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol538 = [0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol539 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol540 = [2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol541 = [0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol542 = [0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol543 = [0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol544 = [1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol545 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol546 = [2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol547 = [2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol548 = [2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol549 = [0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol550 = [1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol551 = [0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol552 = [2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol553 = [0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol554 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol555 = [0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol556 = [1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol557 = [1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0] pubkeycol558 = [1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol559 = [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol560 = [2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol561 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol562 = [0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2] pubkeycol563 = [1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol564 = [1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol565 = [0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol566 = [0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2] pubkeycol567 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol568 = [1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol569 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol570 = [2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol571 = [1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol572 = [2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol573 = [1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1] pubkeycol574 = [0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1] pubkeycol575 = [0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol576 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol577 = [0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2] pubkeycol578 = [2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol579 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol580 = [1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol581 = [2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol582 = [1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol583 = [1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol584 = [2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol585 = [2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol586 = [1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol587 = [0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol588 = [1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol589 = [1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol590 = [2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol591 = [1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol592 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol593 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0] pubkeycol594 = [2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol595 = [0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0] pubkeycol596 = [2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol597 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol598 = [2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol599 = [0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol600 = [2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol601 = [0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol602 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol603 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol604 = [1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol605 = [0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol606 = [0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol607 = [1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol608 = [2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0] pubkeycol609 = [2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol610 = [2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol611 = [2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol612 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol613 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol614 = [2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol615 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol616 = [2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol617 = [2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol618 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0] pubkeycol619 = [2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol620 = [2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol621 = [0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol622 = [1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol623 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol624 = [0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol625 = [0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol626 = [0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol627 = [0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol628 = [1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol629 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol630 = [2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2] pubkeycol631 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol632 = [2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol633 = [0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol634 = [0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0] pubkeycol635 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol636 = [0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol637 = [2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol638 = [1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol639 = [2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol640 = [2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol641 = [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol642 = [1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol643 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol644 = [1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol645 = [1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol646 = [0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol647 = [0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol648 = [2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol649 = [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol650 = [2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol651 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol652 = [1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol653 = [1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol654 = [0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol655 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol656 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol657 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol658 = [1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol659 = [2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0] pubkeycol660 = [2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol661 = [2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol662 = [1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol663 = [1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol664 = [2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0] pubkeycol665 = [0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol666 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol667 = [0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol668 = [1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1] pubkeycol669 = [0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol670 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol671 = [2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol672 = [1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol673 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol674 = [2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol675 = [2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol676 = [2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol677 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol678 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol679 = [0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol680 = [1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol681 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol682 = [0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol683 = [0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol684 = [0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol685 = [2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol686 = [0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol687 = [0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol688 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol689 = [0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol690 = [2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol691 = [0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol692 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0] pubkeycol693 = [0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2] pubkeycol694 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol695 = [1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol696 = [1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol697 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol698 = [2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol699 = [0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0] pubkeycol700 = [2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol701 = [1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol702 = [0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol703 = [1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol704 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol705 = [0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol706 = [0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol707 = [1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol708 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2] pubkeycol709 = [0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol710 = [2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol711 = [0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol712 = [0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol713 = [0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol714 = [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1] pubkeycol715 = [1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol716 = [2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol717 = [1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol718 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol719 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol720 = [0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol721 = [0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol722 = [1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol723 = [1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol724 = [0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol725 = [1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2] pubkeycol726 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol727 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol728 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol729 = [0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol730 = [2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol731 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1] pubkeycol732 = [0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol733 = [2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol734 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol735 = [1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol736 = [2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol737 = [0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol738 = [1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol739 = [1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol740 = [2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol741 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol742 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol743 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol744 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol745 = [2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol746 = [0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol747 = [0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2] pubkeycol748 = [0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol749 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1] pubkeycol750 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol751 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol752 = [2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol753 = [2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol754 = [2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol755 = [1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol756 = [2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol757 = [1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol758 = [0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol759 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol760 = [2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol761 = [0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol762 = [2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol763 = [0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol764 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol765 = [0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol766 = [2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol767 = [0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol768 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol769 = [0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol770 = [2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol771 = [1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol772 = [2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol773 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1] pubkeycol774 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol775 = [0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol776 = [2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol777 = [2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol778 = [1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol779 = [2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol780 = [1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol781 = [0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol782 = [2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol783 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol784 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol785 = [2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol786 = [1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol787 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1] pubkeycol788 = [0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol789 = [1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2] pubkeycol790 = [1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1] pubkeycol791 = [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol792 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol793 = [0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol794 = [2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol795 = [0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol796 = [2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol797 = [2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol798 = [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol799 = [0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol800 = [1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol801 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol802 = [2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol803 = [1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol804 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol805 = [2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol806 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol807 = [2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol808 = [2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol809 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol810 = [0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol811 = [1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol812 = [1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol813 = [1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol814 = [1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol815 = [0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol816 = [1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol817 = [2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol818 = [1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol819 = [0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol820 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol821 = [0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol822 = [1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1] pubkeycol823 = [0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol824 = [2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol825 = [2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol826 = [1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2] pubkeycol827 = [0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol828 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0] pubkeycol829 = [0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2] pubkeycol830 = [2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol831 = [2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol832 = [0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol833 = [0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol834 = [1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol835 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol836 = [1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol837 = [1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol838 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol839 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol840 = [0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol841 = [0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol842 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol843 = [1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol844 = [0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1] pubkeycol845 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol846 = [2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol847 = [2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol848 = [2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol849 = [0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol850 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol851 = [2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol852 = [1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol853 = [0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol854 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol855 = [0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol856 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol857 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol858 = [0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol859 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol860 = [0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol861 = [0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol862 = [1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol863 = [0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol864 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol865 = [0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0] pubkeycol866 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol867 = [1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol868 = [0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol869 = [1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol870 = [1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol871 = [2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol872 = [1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol873 = [1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol874 = [1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol875 = [1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol876 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol877 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol878 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0] pubkeycol879 = [1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol880 = [1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol881 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0] pubkeycol882 = [2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol883 = [0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol884 = [0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol885 = [1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol886 = [0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol887 = [1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol888 = [1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol889 = [1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol890 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol891 = [1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol892 = [1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol893 = [2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol894 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0] pubkeycol895 = [1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol896 = [1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol897 = [2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol898 = [1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol899 = [0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1] pubkeycol900 = [1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol901 = [0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol902 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol903 = [0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol904 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1] pubkeycol905 = [0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol906 = [0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol907 = [1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol908 = [2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol909 = [2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2] pubkeycol910 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol911 = [2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol912 = [1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1] pubkeycol913 = [2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol914 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol915 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol916 = [0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol917 = [0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol918 = [0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol919 = [0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0] pubkeycol920 = [1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol921 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0] pubkeycol922 = [0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol923 = [2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol924 = [1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol925 = [0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1] pubkeycol926 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol927 = [0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol928 = [0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol929 = [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol930 = [2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol931 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol932 = [0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol933 = [1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol934 = [2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol935 = [0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol936 = [2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol937 = [0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol938 = [1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol939 = [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol940 = [2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1] pubkeycol941 = [0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol942 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol943 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol944 = [0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol945 = [2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol946 = [0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol947 = [0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0] pubkeycol948 = [2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol949 = [2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol950 = [2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol951 = [1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol952 = [1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol953 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol954 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol955 = [0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol956 = [0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol957 = [0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol958 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol959 = [0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol960 = [0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1] pubkeycol961 = [1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol962 = [0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol963 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol964 = [1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol965 = [0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol966 = [2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol967 = [0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol968 = [1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol969 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol970 = [2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol971 = [0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol972 = [2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol973 = [0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1] pubkeycol974 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol975 = [0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1] pubkeycol976 = [0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol977 = [0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol978 = [0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol979 = [1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol980 = [2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol981 = [1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol982 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol983 = [0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol984 = [0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol985 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol986 = [1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol987 = [1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2] pubkeycol988 = [2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol989 = [1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2] pubkeycol990 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol991 = [0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol992 = [0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol993 = [2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol994 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol995 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol996 = [1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol997 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol998 = [2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol999 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol1000 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1001 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol1002 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol1003 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol1004 = [0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol1005 = [2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol1006 = [0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1] pubkeycol1007 = [0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol1008 = [0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1009 = [1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol1010 = [2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol1011 = [0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0] pubkeycol1012 = [0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1013 = [1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol1014 = [2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol1015 = [0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol1016 = [1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol1017 = [0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol1018 = [2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1] pubkeycol1019 = [0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1020 = [0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol1021 = [0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol1022 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol1023 = [0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol1024 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol1025 = [1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol1026 = [2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol1027 = [2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol1028 = [0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol1029 = [2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol1030 = [0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol1031 = [1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1032 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol1033 = [2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol1034 = [1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol1035 = [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol1036 = [2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol1037 = [0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol1038 = [0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol1039 = [2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol1040 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol1041 = [0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol1042 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol1043 = [1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol1044 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol1045 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol1046 = [2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol1047 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol1048 = [1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol1049 = [0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2] pubkeycol1050 = [1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol1051 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2] pubkeycol1052 = [0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol1053 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol1054 = [1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol1055 = [0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol1056 = [1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol1057 = [0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol1058 = [2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1059 = [1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol1060 = [1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1061 = [2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol1062 = [0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol1063 = [0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol1064 = [0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol1065 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol1066 = [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol1067 = [2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol1068 = [0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol1069 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol1070 = [0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol1071 = [2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol1072 = [1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2] pubkeycol1073 = [1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol1074 = [1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol1075 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol1076 = [0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol1077 = [1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol1078 = [2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol1079 = [1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol1080 = [2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol1081 = [0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol1082 = [0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol1083 = [1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol1084 = [2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol1085 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol1086 = [1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol1087 = [1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol1088 = [2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol1089 = [1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol1090 = [0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol1091 = [1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1092 = [2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1] pubkeycol1093 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol1094 = [2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0] pubkeycol1095 = [0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol1096 = [0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol1097 = [0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol1098 = [1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1099 = [2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol1100 = [2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol1101 = [2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol1102 = [1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol1103 = [2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol1104 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol1105 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol1106 = [1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol1107 = [0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2] pubkeycol1108 = [0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol1109 = [2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol1110 = [0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2] pubkeycol1111 = [1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol1112 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1113 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol1114 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol1115 = [1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol1116 = [1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1] pubkeycol1117 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1] pubkeycol1118 = [2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2] pubkeycol1119 = [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol1120 = [0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol1121 = [2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol1122 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol1123 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol1124 = [2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol1125 = [1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1126 = [2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1] pubkeycol1127 = [2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol1128 = [1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol1129 = [1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol1130 = [0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol1131 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol1132 = [1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol1133 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol1134 = [0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol1135 = [2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol1136 = [1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol1137 = [0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol1138 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol1139 = [2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol1140 = [2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol1141 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol1142 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol1143 = [2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol1144 = [1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol1145 = [0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0] pubkeycol1146 = [1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0] pubkeycol1147 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol1148 = [1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol1149 = [2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol1150 = [0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol1151 = [2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol1152 = [2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol1153 = [1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol1154 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2] pubkeycol1155 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol1156 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol1157 = [0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol1158 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1159 = [2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol1160 = [1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol1161 = [0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1162 = [2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1163 = [2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol1164 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol1165 = [2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol1166 = [0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol1167 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2] pubkeycol1168 = [0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2] pubkeycol1169 = [2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol1170 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol1171 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol1172 = [1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0] pubkeycol1173 = [0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol1174 = [0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol1175 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0] pubkeycol1176 = [2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0] pubkeycol1177 = [2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol1178 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol1179 = [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol1180 = [1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol1181 = [2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0] pubkeycol1182 = [2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol1183 = [0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol1184 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol1185 = [1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2] pubkeycol1186 = [2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0] pubkeycol1187 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol1188 = [2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol1189 = [0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol1190 = [0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1191 = [1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol1192 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol1193 = [0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol1194 = [0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1] pubkeycol1195 = [2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol1196 = [2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol1197 = [1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol1198 = [0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol1199 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1200 = [1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol1201 = [2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol1202 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol1203 = [0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol1204 = [1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol1205 = [0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1206 = [2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol1207 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol1208 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol1209 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol1210 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol1211 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2] pubkeycol1212 = [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol1213 = [1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol1214 = [0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol1215 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1] pubkeycol1216 = [2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol1217 = [1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol1218 = [1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol1219 = [2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol1220 = [1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol1221 = [1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1] pubkeycol1222 = [0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1223 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol1224 = [0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1225 = [1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol1226 = [2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol1227 = [1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol1228 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol1229 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol1230 = [0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2] pubkeycol1231 = [2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol1232 = [2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol1233 = [1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol1234 = [0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol1235 = [2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol1236 = [1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1237 = [1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol1238 = [1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol1239 = [2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol1240 = [2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0] pubkeycol1241 = [0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol1242 = [1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol1243 = [1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol1244 = [2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0] pubkeycol1245 = [0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol1246 = [1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0] pubkeycol1247 = [1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1248 = [2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol1249 = [1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2] pubkeycol1250 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol1251 = [1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol1252 = [1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol1253 = [2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol1254 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol1255 = [1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol1256 = [2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol1257 = [1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol1258 = [1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1] pubkeycol1259 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol1260 = [1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol1261 = [2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1] pubkeycol1262 = [0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol1263 = [2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol1264 = [0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol1265 = [0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol1266 = [1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1267 = [2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol1268 = [0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol1269 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol1270 = [2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol1271 = [1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol1272 = [1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1273 = [2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol1274 = [1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol1275 = [0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol1276 = [1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol1277 = [0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol1278 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol1279 = [0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1280 = [1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol1281 = [2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol1282 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol1283 = [1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol1284 = [1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol1285 = [2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol1286 = [2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol1287 = [1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol1288 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol1289 = [1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol1290 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol1291 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol1292 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol1293 = [1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol1294 = [2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1] pubkeycol1295 = [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol1296 = [2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol1297 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol1298 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol1299 = [1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol1300 = [2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol1301 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol1302 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1303 = [2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol1304 = [1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol1305 = [0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol1306 = [2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol1307 = [0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol1308 = [0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0