#!/usr/bin/python

from z3 import *

data = [ord(c) for c in "".join([
"\x00\x3F\x60\xFF\x7F\x5F\xFF\x5F\x7F\xFF\x7E\x5E\xFF\x7E\x7F\x7F",
"\x5E\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E\x5D\x7D\xFF\x7C\x5C\xFF\x7C",
"\x7D\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B\x7C\x7C\x5B\x7B\xFF\x7A\x5A",
"\xFF\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59\xFF\x79\x7A\x7A\x59\x79\xFF",
"\x78\x58\xFF\x78\x79\x79\x58\x78\xFF\x77\x57\xFF\x77\x78\x78\x57",
"\x77\xFF\x76\x56\xFF\x76\x77\x77\x56\x76\xFF\x75\x55\xFF\x75\x76",
"\x76\x55\x75\xFF\x74\x54\xFF\x74\x75\x75\x54\x74\xFF\x73\x53\xFF",
"\x73\x74\x74\x53\x73\xFF\x72\x52\xFF\x72\x73\x73\x52\x72\xFF\x71",
"\x51\xFF\x71\x72\x72\x51\x71\xFF\x70\x50\xFF\x70\x71\x71\x50\x70",
"\xFF\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F\xFF\x6E\x4E\xFF\x6E\x6F\x6F",
"\x4E\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E\x4D\x6D\xFF\x6C\x4C\xFF\x6C",
"\x6D\x6D\x4C\x6C\xFF\x6B\x4B\xFF\x6B\x6C\x6C\x4B\x6B\xFF\x6A\x4A",
"\xFF\x6A\x6B\x6B\x4A\x6A\xFF\x69\x49\xFF\x69\x6A\x6A\x49\x69\xFF",
"\x68\x48\xFF\x68\x69\x69\x48\x68\xFF\x67\x47\xFF\x67\x68\x68\x47",
"\x67\xFF\x66\x46\xFF\x66\x67\x67\x46\x66\xFF\x65\x45\xFF\x65\x66",
"\x66\x45\x65\xFF\x64\x44\xFF\x64\x65\x65\x44\x64\xFF\x63\x43\xFF",
"\x63\x64\x64\x43\x63\xFF\x62\x42\xFF\x62\x63\x63\x42\x62\xFF\x61",
"\x41\xFF\x61\x62\x62\x41\x61\xFF\x60\x40\xFF\x61\x40\x62\x41\x61",
"\xFF\x61\x62\xFF\x62\x41\x63\x42\x62\xFF\x62\x63\xFF\x63\x42\x64",
"\x43\x63\xFF\x63\x64\xFF\x64\x43\x65\x44\x64\xFF\x64\x65\xFF\x65",
"\x44\x66\x45\x65\xFF\x65\x66\xFF\x66\x45\x67\x46\x66\xFF\x66\x67",
"\xFF\x67\x46\x68\x47\x67\xFF\x67\x68\xFF\x68\x47\x69\x48\x68\xFF",
"\x68\x69\xFF\x69\x48\x6A\x49\x69\xFF\x69\x6A\xFF\x6A\x49\x6B\x4A",
"\x6A\xFF\x6A\x6B\xFF\x6B\x4A\x6C\x4B\x6B\xFF\x6B\x6C\xFF\x6C\x4B",
"\x6D\x4C\x6C\xFF\x6C\x6D\xFF\x6D\x4C\x6E\x4D\x6D\xFF\x6D\x6E\xFF",
"\x6E\x4D\x6F\x4E\x6E\xFF\x6E\x6F\xFF\x6F\x4E\x70\x4F\x6F\xFF\x6F",
"\x70\xFF\x70\x4F\x71\x50\x70\xFF\x70\x71\xFF\x71\x50\x72\x51\x71",
"\xFF\x71\x72\xFF\x72\x51\x73\x52\x72\xFF\x72\x73\xFF\x73\x52\x74",
"\x53\x73\xFF\x73\x74\xFF\x74\x53\x75\x54\x74\xFF\x74\x75\xFF\x75",
"\x54\x76\x55\x75\xFF\x75\x76\xFF\x76\x55\x77\x56\x76\xFF\x76\x77",
"\xFF\x77\x56\x78\x57\x77\xFF\x77\x78\xFF\x78\x57\x79\x58\x78\xFF",
"\x78\x79\xFF\x79\x58\x7A\x59\x79\xFF\x79\x7A\xFF\x7A\x59\x7B\x5A",
"\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B\x7B\xFF\x7B\x7C\xFF\x7C\x5B",
"\x7D\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C\x7E\x5D\x7D\xFF\x7D\x7E\xFF",
"\x7E\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF\x7F\x5E\xFF\x5F\x7F\x00\x3F",
"\x60\xFF\x40\x00\x01\x3E\x60\x01\x3F\x61\xFF\x7F\x5F\xFF\x5F\x7F",
"\xFF\x7E\x5E\xFF\x7E\x7F\x7F\x5E\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E",
"\x5D\x7D\xFF\x7C\x5C\xFF\x7C\x7D\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B",
"\x7C\x7C\x5B\x7B\xFF\x7A\x5A\xFF\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59",
"\xFF\x79\x7A\x7A\x59\x79\xFF\x78\x58\xFF\x78\x79\x79\x58\x78\xFF",
"\x77\x57\xFF\x77\x78\x78\x57\x77\xFF\x76\x56\xFF\x76\x77\x77\x56",
"\x76\xFF\x75\x55\xFF\x75\x76\x76\x55\x75\xFF\x74\x54\xFF\x74\x75",
"\x75\x54\x74\xFF\x73\x53\xFF\x73\x74\x74\x53\x73\xFF\x72\x52\xFF",
"\x72\x73\x73\x52\x72\xFF\x71\x51\xFF\x71\x72\x72\x51\x71\xFF\x70",
"\x50\xFF\x70\x71\x71\x50\x70\xFF\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F",
"\xFF\x6E\x4E\xFF\x6E\x6F\x6F\x4E\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E",
"\x4D\x6D\xFF\x6C\x4C\xFF\x6C\x6D\x6D\x4C\x6C\xFF\x6B\x4B\xFF\x6B",
"\x6C\x6C\x4B\x6B\xFF\x6A\x4A\xFF\x6A\x6B\x6B\x4A\x6A\xFF\x69\x49",
"\xFF\x69\x6A\x6A\x49\x69\xFF\x68\x48\xFF\x68\x69\x69\x48\x68\xFF",
"\x67\x47\xFF\x67\x68\x68\x47\x67\xFF\x66\x46\xFF\x66\x67\x67\x46",
"\x66\xFF\x65\x45\xFF\x65\x66\x66\x45\x65\xFF\x64\x44\xFF\x64\x65",
"\x65\x44\x64\xFF\x63\x43\xFF\x63\x64\x64\x43\x63\xFF\x62\x42\xFF",
"\x62\x63\x63\x42\x62\xFF\x61\x41\xFF\x61\x62\x62\x41\x61\xFF\x60",
"\x40\xFF\x61\x40\x62\x41\x61\xFF\x61\x62\xFF\x62\x41\x63\x42\x62",
"\xFF\x62\x63\xFF\x63\x42\x64\x43\x63\xFF\x63\x64\xFF\x64\x43\x65",
"\x44\x64\xFF\x64\x65\xFF\x65\x44\x66\x45\x65\xFF\x65\x66\xFF\x66",
"\x45\x67\x46\x66\xFF\x66\x67\xFF\x67\x46\x68\x47\x67\xFF\x67\x68",
"\xFF\x68\x47\x69\x48\x68\xFF\x68\x69\xFF\x69\x48\x6A\x49\x69\xFF",
"\x69\x6A\xFF\x6A\x49\x6B\x4A\x6A\xFF\x6A\x6B\xFF\x6B\x4A\x6C\x4B",
"\x6B\xFF\x6B\x6C\xFF\x6C\x4B\x6D\x4C\x6C\xFF\x6C\x6D\xFF\x6D\x4C",
"\x6E\x4D\x6D\xFF\x6D\x6E\xFF\x6E\x4D\x6F\x4E\x6E\xFF\x6E\x6F\xFF",
"\x6F\x4E\x70\x4F\x6F\xFF\x6F\x70\xFF\x70\x4F\x71\x50\x70\xFF\x70",
"\x71\xFF\x71\x50\x72\x51\x71\xFF\x71\x72\xFF\x72\x51\x73\x52\x72",
"\xFF\x72\x73\xFF\x73\x52\x74\x53\x73\xFF\x73\x74\xFF\x74\x53\x75",
"\x54\x74\xFF\x74\x75\xFF\x75\x54\x76\x55\x75\xFF\x75\x76\xFF\x76",
"\x55\x77\x56\x76\xFF\x76\x77\xFF\x77\x56\x78\x57\x77\xFF\x77\x78",
"\xFF\x78\x57\x79\x58\x78\xFF\x78\x79\xFF\x79\x58\x7A\x59\x79\xFF",
"\x79\x7A\xFF\x7A\x59\x7B\x5A\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B",
"\x7B\xFF\x7B\x7C\xFF\x7C\x5B\x7D\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C",
"\x7E\x5D\x7D\xFF\x7D\x7E\xFF\x7E\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF",
"\x7F\x5E\xFF\x5F\x7F\x01\x3E\x60\x01\x3F\x61\xFF\x41\x01\x02\x3D",
"\x60\x02\x3E\x61\x02\x3F\x62\xFF\x7F\x5F\xFF\x5F\x7F\xFF\x7E\x5E",
"\xFF\x7E\x7F\x7F\x5E\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E\x5D\x7D\xFF",
"\x7C\x5C\xFF\x7C\x7D\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B\x7C\x7C\x5B",
"\x7B\xFF\x7A\x5A\xFF\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59\xFF\x79\x7A",
"\x7A\x59\x79\xFF\x78\x58\xFF\x78\x79\x79\x58\x78\xFF\x77\x57\xFF",
"\x77\x78\x78\x57\x77\xFF\x76\x56\xFF\x76\x77\x77\x56\x76\xFF\x75",
"\x55\xFF\x75\x76\x76\x55\x75\xFF\x74\x54\xFF\x74\x75\x75\x54\x74",
"\xFF\x73\x53\xFF\x73\x74\x74\x53\x73\xFF\x72\x52\xFF\x72\x73\x73",
"\x52\x72\xFF\x71\x51\xFF\x71\x72\x72\x51\x71\xFF\x70\x50\xFF\x70",
"\x71\x71\x50\x70\xFF\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F\xFF\x6E\x4E",
"\xFF\x6E\x6F\x6F\x4E\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E\x4D\x6D\xFF",
"\x6C\x4C\xFF\x6C\x6D\x6D\x4C\x6C\xFF\x6B\x4B\xFF\x6B\x6C\x6C\x4B",
"\x6B\xFF\x6A\x4A\xFF\x6A\x6B\x6B\x4A\x6A\xFF\x69\x49\xFF\x69\x6A",
"\x6A\x49\x69\xFF\x68\x48\xFF\x68\x69\x69\x48\x68\xFF\x67\x47\xFF",
"\x67\x68\x68\x47\x67\xFF\x66\x46\xFF\x66\x67\x67\x46\x66\xFF\x65",
"\x45\xFF\x65\x66\x66\x45\x65\xFF\x64\x44\xFF\x64\x65\x65\x44\x64",
"\xFF\x63\x43\xFF\x63\x64\x64\x43\x63\xFF\x62\x42\xFF\x62\x63\x63",
"\x42\x62\xFF\x61\x41\xFF\x61\x62\x62\x41\x61\xFF\x60\x40\xFF\x61",
"\x40\x62\x41\x61\xFF\x61\x62\xFF\x62\x41\x63\x42\x62\xFF\x62\x63",
"\xFF\x63\x42\x64\x43\x63\xFF\x63\x64\xFF\x64\x43\x65\x44\x64\xFF",
"\x64\x65\xFF\x65\x44\x66\x45\x65\xFF\x65\x66\xFF\x66\x45\x67\x46",
"\x66\xFF\x66\x67\xFF\x67\x46\x68\x47\x67\xFF\x67\x68\xFF\x68\x47",
"\x69\x48\x68\xFF\x68\x69\xFF\x69\x48\x6A\x49\x69\xFF\x69\x6A\xFF",
"\x6A\x49\x6B\x4A\x6A\xFF\x6A\x6B\xFF\x6B\x4A\x6C\x4B\x6B\xFF\x6B",
"\x6C\xFF\x6C\x4B\x6D\x4C\x6C\xFF\x6C\x6D\xFF\x6D\x4C\x6E\x4D\x6D",
"\xFF\x6D\x6E\xFF\x6E\x4D\x6F\x4E\x6E\xFF\x6E\x6F\xFF\x6F\x4E\x70",
"\x4F\x6F\xFF\x6F\x70\xFF\x70\x4F\x71\x50\x70\xFF\x70\x71\xFF\x71",
"\x50\x72\x51\x71\xFF\x71\x72\xFF\x72\x51\x73\x52\x72\xFF\x72\x73",
"\xFF\x73\x52\x74\x53\x73\xFF\x73\x74\xFF\x74\x53\x75\x54\x74\xFF",
"\x74\x75\xFF\x75\x54\x76\x55\x75\xFF\x75\x76\xFF\x76\x55\x77\x56",
"\x76\xFF\x76\x77\xFF\x77\x56\x78\x57\x77\xFF\x77\x78\xFF\x78\x57",
"\x79\x58\x78\xFF\x78\x79\xFF\x79\x58\x7A\x59\x79\xFF\x79\x7A\xFF",
"\x7A\x59\x7B\x5A\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B\x7B\xFF\x7B",
"\x7C\xFF\x7C\x5B\x7D\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C\x7E\x5D\x7D",
"\xFF\x7D\x7E\xFF\x7E\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF\x7F\x5E\xFF",
"\x5F\x7F\x02\x3D\x60\x02\x3E\x61\x02\x3F\x62\xFF\x42\x02\x03\x3C",
"\x60\x03\x3D\x61\x03\x3E\x62\x03\x3F\x63\xFF\x7F\x5F\xFF\x5F\x7F",
"\xFF\x7E\x5E\xFF\x7E\x7F\x7F\x5E\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E",
"\x5D\x7D\xFF\x7C\x5C\xFF\x7C\x7D\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B",
"\x7C\x7C\x5B\x7B\xFF\x7A\x5A\xFF\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59",
"\xFF\x79\x7A\x7A\x59\x79\xFF\x78\x58\xFF\x78\x79\x79\x58\x78\xFF",
"\x77\x57\xFF\x77\x78\x78\x57\x77\xFF\x76\x56\xFF\x76\x77\x77\x56",
"\x76\xFF\x75\x55\xFF\x75\x76\x76\x55\x75\xFF\x74\x54\xFF\x74\x75",
"\x75\x54\x74\xFF\x73\x53\xFF\x73\x74\x74\x53\x73\xFF\x72\x52\xFF",
"\x72\x73\x73\x52\x72\xFF\x71\x51\xFF\x71\x72\x72\x51\x71\xFF\x70",
"\x50\xFF\x70\x71\x71\x50\x70\xFF\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F",
"\xFF\x6E\x4E\xFF\x6E\x6F\x6F\x4E\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E",
"\x4D\x6D\xFF\x6C\x4C\xFF\x6C\x6D\x6D\x4C\x6C\xFF\x6B\x4B\xFF\x6B",
"\x6C\x6C\x4B\x6B\xFF\x6A\x4A\xFF\x6A\x6B\x6B\x4A\x6A\xFF\x69\x49",
"\xFF\x69\x6A\x6A\x49\x69\xFF\x68\x48\xFF\x68\x69\x69\x48\x68\xFF",
"\x67\x47\xFF\x67\x68\x68\x47\x67\xFF\x66\x46\xFF\x66\x67\x67\x46",
"\x66\xFF\x65\x45\xFF\x65\x66\x66\x45\x65\xFF\x64\x44\xFF\x64\x65",
"\x65\x44\x64\xFF\x63\x43\xFF\x63\x64\x64\x43\x63\xFF\x62\x42\xFF",
"\x62\x63\x63\x42\x62\xFF\x61\x41\xFF\x61\x62\x62\x41\x61\xFF\x60",
"\x40\xFF\x61\x40\x62\x41\x61\xFF\x61\x62\xFF\x62\x41\x63\x42\x62",
"\xFF\x62\x63\xFF\x63\x42\x64\x43\x63\xFF\x63\x64\xFF\x64\x43\x65",
"\x44\x64\xFF\x64\x65\xFF\x65\x44\x66\x45\x65\xFF\x65\x66\xFF\x66",
"\x45\x67\x46\x66\xFF\x66\x67\xFF\x67\x46\x68\x47\x67\xFF\x67\x68",
"\xFF\x68\x47\x69\x48\x68\xFF\x68\x69\xFF\x69\x48\x6A\x49\x69\xFF",
"\x69\x6A\xFF\x6A\x49\x6B\x4A\x6A\xFF\x6A\x6B\xFF\x6B\x4A\x6C\x4B",
"\x6B\xFF\x6B\x6C\xFF\x6C\x4B\x6D\x4C\x6C\xFF\x6C\x6D\xFF\x6D\x4C",
"\x6E\x4D\x6D\xFF\x6D\x6E\xFF\x6E\x4D\x6F\x4E\x6E\xFF\x6E\x6F\xFF",
"\x6F\x4E\x70\x4F\x6F\xFF\x6F\x70\xFF\x70\x4F\x71\x50\x70\xFF\x70",
"\x71\xFF\x71\x50\x72\x51\x71\xFF\x71\x72\xFF\x72\x51\x73\x52\x72",
"\xFF\x72\x73\xFF\x73\x52\x74\x53\x73\xFF\x73\x74\xFF\x74\x53\x75",
"\x54\x74\xFF\x74\x75\xFF\x75\x54\x76\x55\x75\xFF\x75\x76\xFF\x76",
"\x55\x77\x56\x76\xFF\x76\x77\xFF\x77\x56\x78\x57\x77\xFF\x77\x78",
"\xFF\x78\x57\x79\x58\x78\xFF\x78\x79\xFF\x79\x58\x7A\x59\x79\xFF",
"\x79\x7A\xFF\x7A\x59\x7B\x5A\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B",
"\x7B\xFF\x7B\x7C\xFF\x7C\x5B\x7D\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C",
"\x7E\x5D\x7D\xFF\x7D\x7E\xFF\x7E\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF",
"\x7F\x5E\xFF\x5F\x7F\x03\x3C\x60\x03\x3D\x61\x03\x3E\x62\x03\x3F",
"\x63\xFF\x43\x03\x04\x3B\x60\x04\x3C\x61\x04\x3D\x62\x04\x3E\x63",
"\x04\x3F\x64\xFF\x7F\x5F\xFF\x5F\x7F\xFF\x7E\x5E\xFF\x7E\x7F\x7F",
"\x5E\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E\x5D\x7D\xFF\x7C\x5C\xFF\x7C",
"\x7D\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B\x7C\x7C\x5B\x7B\xFF\x7A\x5A",
"\xFF\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59\xFF\x79\x7A\x7A\x59\x79\xFF",
"\x78\x58\xFF\x78\x79\x79\x58\x78\xFF\x77\x57\xFF\x77\x78\x78\x57",
"\x77\xFF\x76\x56\xFF\x76\x77\x77\x56\x76\xFF\x75\x55\xFF\x75\x76",
"\x76\x55\x75\xFF\x74\x54\xFF\x74\x75\x75\x54\x74\xFF\x73\x53\xFF",
"\x73\x74\x74\x53\x73\xFF\x72\x52\xFF\x72\x73\x73\x52\x72\xFF\x71",
"\x51\xFF\x71\x72\x72\x51\x71\xFF\x70\x50\xFF\x70\x71\x71\x50\x70",
"\xFF\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F\xFF\x6E\x4E\xFF\x6E\x6F\x6F",
"\x4E\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E\x4D\x6D\xFF\x6C\x4C\xFF\x6C",
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"\x7A\x59\x7B\x5A\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B\x7B\xFF\x7B",
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"\x79\xFF\x79\x58\x7A\x59\x79\xFF\x79\x7A\xFF\x7A\x59\x7B\x5A\x7A",
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"\x7A\x59\x7B\x5A\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B\x7B\xFF\x7B",
"\x7C\xFF\x7C\x5B\x7D\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C\x7E\x5D\x7D",
"\xFF\x7D\x7E\xFF\x7E\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF\x7F\x5E\xFF",
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"\x38\x76\x1D\x39\x77\x1D\x3A\x78\x1D\x3B\x79\x1D\x3C\x7A\x1D\x3D",
"\x7B\x1D\x3E\x7C\x1D\x3F\x7D\xFF\x5D\x1D\x1E\x21\x60\x1E\x22\x61",
"\x1E\x23\x62\x1E\x24\x63\x1E\x25\x64\x1E\x26\x65\x1E\x27\x66\x1E",
"\x28\x67\x1E\x29\x68\x1E\x2A\x69\x1E\x2B\x6A\x1E\x2C\x6B\x1E\x2D",
"\x6C\x1E\x2E\x6D\x1E\x2F\x6E\x1E\x30\x6F\x1E\x31\x70\x1E\x32\x71",
"\x1E\x33\x72\x1E\x34\x73\x1E\x35\x74\x1E\x36\x75\x1E\x37\x76\x1E",
"\x38\x77\x1E\x39\x78\x1E\x3A\x79\x1E\x3B\x7A\x1E\x3C\x7B\x1E\x3D",
"\x7C\x1E\x3E\x7D\x1E\x3F\x7E\xFF\x7F\x5F\xFF\x5F\x7F\xFF\x7E\x5E",
"\xFF\x7E\x7F\x7F\x5E\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E\x5D\x7D\xFF",
"\x7C\x5C\xFF\x7C\x7D\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B\x7C\x7C\x5B",
"\x7B\xFF\x7A\x5A\xFF\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59\xFF\x79\x7A",
"\x7A\x59\x79\xFF\x78\x58\xFF\x78\x79\x79\x58\x78\xFF\x77\x57\xFF",
"\x77\x78\x78\x57\x77\xFF\x76\x56\xFF\x76\x77\x77\x56\x76\xFF\x75",
"\x55\xFF\x75\x76\x76\x55\x75\xFF\x74\x54\xFF\x74\x75\x75\x54\x74",
"\xFF\x73\x53\xFF\x73\x74\x74\x53\x73\xFF\x72\x52\xFF\x72\x73\x73",
"\x52\x72\xFF\x71\x51\xFF\x71\x72\x72\x51\x71\xFF\x70\x50\xFF\x70",
"\x71\x71\x50\x70\xFF\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F\xFF\x6E\x4E",
"\xFF\x6E\x6F\x6F\x4E\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E\x4D\x6D\xFF",
"\x6C\x4C\xFF\x6C\x6D\x6D\x4C\x6C\xFF\x6B\x4B\xFF\x6B\x6C\x6C\x4B",
"\x6B\xFF\x6A\x4A\xFF\x6A\x6B\x6B\x4A\x6A\xFF\x69\x49\xFF\x69\x6A",
"\x6A\x49\x69\xFF\x68\x48\xFF\x68\x69\x69\x48\x68\xFF\x67\x47\xFF",
"\x67\x68\x68\x47\x67\xFF\x66\x46\xFF\x66\x67\x67\x46\x66\xFF\x65",
"\x45\xFF\x65\x66\x66\x45\x65\xFF\x64\x44\xFF\x64\x65\x65\x44\x64",
"\xFF\x63\x43\xFF\x63\x64\x64\x43\x63\xFF\x62\x42\xFF\x62\x63\x63",
"\x42\x62\xFF\x61\x41\xFF\x61\x62\x62\x41\x61\xFF\x60\x40\xFF\x61",
"\x40\x62\x41\x61\xFF\x61\x62\xFF\x62\x41\x63\x42\x62\xFF\x62\x63",
"\xFF\x63\x42\x64\x43\x63\xFF\x63\x64\xFF\x64\x43\x65\x44\x64\xFF",
"\x64\x65\xFF\x65\x44\x66\x45\x65\xFF\x65\x66\xFF\x66\x45\x67\x46",
"\x66\xFF\x66\x67\xFF\x67\x46\x68\x47\x67\xFF\x67\x68\xFF\x68\x47",
"\x69\x48\x68\xFF\x68\x69\xFF\x69\x48\x6A\x49\x69\xFF\x69\x6A\xFF",
"\x6A\x49\x6B\x4A\x6A\xFF\x6A\x6B\xFF\x6B\x4A\x6C\x4B\x6B\xFF\x6B",
"\x6C\xFF\x6C\x4B\x6D\x4C\x6C\xFF\x6C\x6D\xFF\x6D\x4C\x6E\x4D\x6D",
"\xFF\x6D\x6E\xFF\x6E\x4D\x6F\x4E\x6E\xFF\x6E\x6F\xFF\x6F\x4E\x70",
"\x4F\x6F\xFF\x6F\x70\xFF\x70\x4F\x71\x50\x70\xFF\x70\x71\xFF\x71",
"\x50\x72\x51\x71\xFF\x71\x72\xFF\x72\x51\x73\x52\x72\xFF\x72\x73",
"\xFF\x73\x52\x74\x53\x73\xFF\x73\x74\xFF\x74\x53\x75\x54\x74\xFF",
"\x74\x75\xFF\x75\x54\x76\x55\x75\xFF\x75\x76\xFF\x76\x55\x77\x56",
"\x76\xFF\x76\x77\xFF\x77\x56\x78\x57\x77\xFF\x77\x78\xFF\x78\x57",
"\x79\x58\x78\xFF\x78\x79\xFF\x79\x58\x7A\x59\x79\xFF\x79\x7A\xFF",
"\x7A\x59\x7B\x5A\x7A\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B\x7B\xFF\x7B",
"\x7C\xFF\x7C\x5B\x7D\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C\x7E\x5D\x7D",
"\xFF\x7D\x7E\xFF\x7E\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF\x7F\x5E\xFF",
"\x5F\x7F\x1E\x21\x60\x1E\x22\x61\x1E\x23\x62\x1E\x24\x63\x1E\x25",
"\x64\x1E\x26\x65\x1E\x27\x66\x1E\x28\x67\x1E\x29\x68\x1E\x2A\x69",
"\x1E\x2B\x6A\x1E\x2C\x6B\x1E\x2D\x6C\x1E\x2E\x6D\x1E\x2F\x6E\x1E",
"\x30\x6F\x1E\x31\x70\x1E\x32\x71\x1E\x33\x72\x1E\x34\x73\x1E\x35",
"\x74\x1E\x36\x75\x1E\x37\x76\x1E\x38\x77\x1E\x39\x78\x1E\x3A\x79",
"\x1E\x3B\x7A\x1E\x3C\x7B\x1E\x3D\x7C\x1E\x3E\x7D\x1E\x3F\x7E\xFF",
"\x5E\x1E\x1F\x20\x60\x1F\x21\x61\x1F\x22\x62\x1F\x23\x63\x1F\x24",
"\x64\x1F\x25\x65\x1F\x26\x66\x1F\x27\x67\x1F\x28\x68\x1F\x29\x69",
"\x1F\x2A\x6A\x1F\x2B\x6B\x1F\x2C\x6C\x1F\x2D\x6D\x1F\x2E\x6E\x1F",
"\x2F\x6F\x1F\x30\x70\x1F\x31\x71\x1F\x32\x72\x1F\x33\x73\x1F\x34",
"\x74\x1F\x35\x75\x1F\x36\x76\x1F\x37\x77\x1F\x38\x78\x1F\x39\x79",
"\x1F\x3A\x7A\x1F\x3B\x7B\x1F\x3C\x7C\x1F\x3D\x7D\x1F\x3E\x7E\x1F",
"\x3F\x7F\xFF\x7F\x5F\xFF\x5F\x7F\xFF\x7E\x5E\xFF\x7E\x7F\x7F\x5E",
"\x7E\xFF\x7D\x5D\xFF\x7D\x7E\x7E\x5D\x7D\xFF\x7C\x5C\xFF\x7C\x7D",
"\x7D\x5C\x7C\xFF\x7B\x5B\xFF\x7B\x7C\x7C\x5B\x7B\xFF\x7A\x5A\xFF",
"\x7A\x7B\x7B\x5A\x7A\xFF\x79\x59\xFF\x79\x7A\x7A\x59\x79\xFF\x78",
"\x58\xFF\x78\x79\x79\x58\x78\xFF\x77\x57\xFF\x77\x78\x78\x57\x77",
"\xFF\x76\x56\xFF\x76\x77\x77\x56\x76\xFF\x75\x55\xFF\x75\x76\x76",
"\x55\x75\xFF\x74\x54\xFF\x74\x75\x75\x54\x74\xFF\x73\x53\xFF\x73",
"\x74\x74\x53\x73\xFF\x72\x52\xFF\x72\x73\x73\x52\x72\xFF\x71\x51",
"\xFF\x71\x72\x72\x51\x71\xFF\x70\x50\xFF\x70\x71\x71\x50\x70\xFF",
"\x6F\x4F\xFF\x6F\x70\x70\x4F\x6F\xFF\x6E\x4E\xFF\x6E\x6F\x6F\x4E",
"\x6E\xFF\x6D\x4D\xFF\x6D\x6E\x6E\x4D\x6D\xFF\x6C\x4C\xFF\x6C\x6D",
"\x6D\x4C\x6C\xFF\x6B\x4B\xFF\x6B\x6C\x6C\x4B\x6B\xFF\x6A\x4A\xFF",
"\x6A\x6B\x6B\x4A\x6A\xFF\x69\x49\xFF\x69\x6A\x6A\x49\x69\xFF\x68",
"\x48\xFF\x68\x69\x69\x48\x68\xFF\x67\x47\xFF\x67\x68\x68\x47\x67",
"\xFF\x66\x46\xFF\x66\x67\x67\x46\x66\xFF\x65\x45\xFF\x65\x66\x66",
"\x45\x65\xFF\x64\x44\xFF\x64\x65\x65\x44\x64\xFF\x63\x43\xFF\x63",
"\x64\x64\x43\x63\xFF\x62\x42\xFF\x62\x63\x63\x42\x62\xFF\x61\x41",
"\xFF\x61\x62\x62\x41\x61\xFF\x60\x40\xFF\x61\x40\x62\x41\x61\xFF",
"\x61\x62\xFF\x62\x41\x63\x42\x62\xFF\x62\x63\xFF\x63\x42\x64\x43",
"\x63\xFF\x63\x64\xFF\x64\x43\x65\x44\x64\xFF\x64\x65\xFF\x65\x44",
"\x66\x45\x65\xFF\x65\x66\xFF\x66\x45\x67\x46\x66\xFF\x66\x67\xFF",
"\x67\x46\x68\x47\x67\xFF\x67\x68\xFF\x68\x47\x69\x48\x68\xFF\x68",
"\x69\xFF\x69\x48\x6A\x49\x69\xFF\x69\x6A\xFF\x6A\x49\x6B\x4A\x6A",
"\xFF\x6A\x6B\xFF\x6B\x4A\x6C\x4B\x6B\xFF\x6B\x6C\xFF\x6C\x4B\x6D",
"\x4C\x6C\xFF\x6C\x6D\xFF\x6D\x4C\x6E\x4D\x6D\xFF\x6D\x6E\xFF\x6E",
"\x4D\x6F\x4E\x6E\xFF\x6E\x6F\xFF\x6F\x4E\x70\x4F\x6F\xFF\x6F\x70",
"\xFF\x70\x4F\x71\x50\x70\xFF\x70\x71\xFF\x71\x50\x72\x51\x71\xFF",
"\x71\x72\xFF\x72\x51\x73\x52\x72\xFF\x72\x73\xFF\x73\x52\x74\x53",
"\x73\xFF\x73\x74\xFF\x74\x53\x75\x54\x74\xFF\x74\x75\xFF\x75\x54",
"\x76\x55\x75\xFF\x75\x76\xFF\x76\x55\x77\x56\x76\xFF\x76\x77\xFF",
"\x77\x56\x78\x57\x77\xFF\x77\x78\xFF\x78\x57\x79\x58\x78\xFF\x78",
"\x79\xFF\x79\x58\x7A\x59\x79\xFF\x79\x7A\xFF\x7A\x59\x7B\x5A\x7A",
"\xFF\x7A\x7B\xFF\x7B\x5A\x7C\x5B\x7B\xFF\x7B\x7C\xFF\x7C\x5B\x7D",
"\x5C\x7C\xFF\x7C\x7D\xFF\x7D\x5C\x7E\x5D\x7D\xFF\x7D\x7E\xFF\x7E",
"\x5D\x7F\x5E\x7E\xFF\x7E\x7F\xFF\x7F\x5E\xFF\x5F\x7F\x1F\x20\x60",
"\x1F\x21\x61\x1F\x22\x62\x1F\x23\x63\x1F\x24\x64\x1F\x25\x65\x1F",
"\x26\x66\x1F\x27\x67\x1F\x28\x68\x1F\x29\x69\x1F\x2A\x6A\x1F\x2B",
"\x6B\x1F\x2C\x6C\x1F\x2D\x6D\x1F\x2E\x6E\x1F\x2F\x6F\x1F\x30\x70",
"\x1F\x31\x71\x1F\x32\x72\x1F\x33\x73\x1F\x34\x74\x1F\x35\x75\x1F",
"\x36\x76\x1F\x37\x77\x1F\x38\x78\x1F\x39\x79\x1F\x3A\x7A\x1F\x3B",
"\x7B\x1F\x3C\x7C\x1F\x3D\x7D\x1F\x3E\x7E\x1F\x3F\x7F\xFF\x5F\x1F",
"\xFF\x40\x00\xFF\x00\x40\xFF\x41\x01\xFF\x01\x41\xFF\x42\x02\xFF",
"\x02\x42\xFF\x43\x03\xFF\x03\x43\xFF\x44\x04\xFF\x04\x44\xFF\x45",
"\x05\xFF\x05\x45\xFF\x46\x06\xFF\x06\x46\xFF\x47\x07\xFF\x07\x47",
"\xFF\x48\x08\xFF\x08\x48\xFF\x49\x09\xFF\x09\x49\xFF\x4A\x0A\xFF",
"\x0A\x4A\xFF\x4B\x0B\xFF\x0B\x4B\xFF\x4C\x0C\xFF\x0C\x4C\xFF\x4D",
"\x0D\xFF\x0D\x4D\xFF\x4E\x0E\xFF\x0E\x4E\xFF\x4F\x0F\xFF\x0F\x4F",
"\xFF\x50\x10\xFF\x10\x50\xFF\x51\x11\xFF\x11\x51\xFF\x52\x12\xFF",
"\x12\x52\xFF\x53\x13\xFF\x13\x53\xFF\x54\x14\xFF\x14\x54\xFF\x55",
"\x15\xFF\x15\x55\xFF\x56\x16\xFF\x16\x56\xFF\x57\x17\xFF\x17\x57",
"\xFF\x58\x18\xFF\x18\x58\xFF\x59\x19\xFF\x19\x59\xFF\x5A\x1A\xFF",
"\x1A\x5A\xFF\x5B\x1B\xFF\x1B\x5B\xFF\x5C\x1C\xFF\x1C\x5C\xFF\x5D",
"\x1D\xFF\x1D\x5D\xFF\x5E\x1E\xFF\x1E\x5E\xFF\x5F\x1F\xFF\x1F\x5F",
"\xE0\x52\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
])]

string1 = [ord(c) for c in "".join([
"\x30\x31\x31\x30\x31\x30\x30\x31\x30\x31\x31\x31\x30\x30\x31\x31",
"\x30\x31\x30\x31\x31\x31\x31\x31\x30\x31\x31\x31\x30\x31\x30\x30",
"\x30\x31\x31\x30\x31\x30\x30\x30\x30\x31\x31\x30\x31\x30\x30\x31",
"\x30\x31\x31\x31\x30\x30\x31\x31\x30\x31\x30\x31\x31\x31\x31\x31",
"\x30\x31\x31\x31\x30\x31\x30\x30\x30\x31\x31\x30\x31\x30\x30\x30",
"\x30\x31\x31\x30\x30\x31\x30\x31\x30\x31\x30\x31\x31\x31\x31\x31",
"\x30\x31\x31\x30\x30\x31\x31\x30\x30\x31\x31\x30\x31\x31\x30\x30",
"\x30\x31\x31\x30\x30\x30\x30\x31\x30\x31\x31\x30\x30\x31\x31\x31",
])]

string2 = [ord(c) for c in "".join([
"\x31\x30\x30\x31\x30\x30\x31\x30\x30\x30\x30\x30\x31\x31\x30\x30",
"\x30\x31\x31\x31\x31\x31\x31\x31\x31\x31\x30\x30\x30\x30\x31\x31",
"\x31\x30\x30\x30\x30\x31\x30\x31\x30\x31\x30\x30\x31\x30\x31\x30",
"\x31\x31\x31\x31\x31\x30\x30\x31\x31\x30\x31\x31\x31\x30\x30\x31",
"\x30\x31\x31\x30\x31\x30\x31\x31\x30\x30\x31\x30\x31\x31\x31\x31",
"\x30\x30\x30\x31\x31\x31\x31\x31\x31\x30\x31\x30\x30\x31\x31\x31",
"\x30\x30\x30\x31\x30\x31\x30\x31\x31\x30\x31\x30\x31\x30\x31\x31",
"\x30\x31\x31\x31\x31\x30\x30\x31\x31\x30\x30\x31\x31\x30\x31\x31",
])]

string3 = [ord(c) for c in "".join([
"\x31\x31\x31\x30\x31\x31\x30\x31\x31\x31\x30\x30\x31\x30\x31\x31",
"\x31\x31\x31\x31\x30\x30\x31\x30\x30\x30\x30\x31\x30\x31\x30\x31",
"\x30\x31\x31\x31\x31\x31\x30\x30\x31\x30\x31\x31\x30\x30\x31\x30",
"\x31\x30\x31\x30\x31\x30\x31\x31\x30\x30\x30\x31\x31\x30\x30\x31",
"\x31\x31\x31\x30\x30\x30\x30\x31\x31\x30\x31\x31\x30\x30\x30\x31",
"\x31\x30\x31\x30\x31\x30\x31\x30\x30\x31\x30\x30\x30\x31\x31\x31",
"\x30\x30\x30\x30\x30\x31\x31\x30\x31\x31\x30\x31\x30\x31\x31\x31",
"\x30\x30\x31\x30\x30\x31\x30\x30\x31\x30\x30\x31\x31\x31\x31\x31",
])]

scratch_buf = [ord(c) for c in "".join([
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30",
"\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x30\x31",
])]

def newBool():
newBool.i += 1
return Bool('b' + str(newBool.i))
newBool.i = 0

class Buffer(object):
def __init__(self, solver, values):
self.solver = solver
self.vals = []
for b in values:
v = newBool()
if b == 0x30:
solver.add(v == False)
else:
solver.add(v == True)
self.vals.append(v)

def __getitem__(self, index):
return self.vals[index]

def __setitem__(self, key, value):
v = newBool()
solver.add(v == value)
self.vals[key] = v

solver = Solver()
buf = Buffer(solver, scratch_buf)
string1 = BoolVector("string1", 0x80)
string2 = Buffer(solver, string2)
string3 = Buffer(solver, string3)

actually_zeros = []
for off in xrange(0, 0x80, 0x20):
for i, b in enumerate(string1[off:off+0x20] + string2[off:off+0x20]):
buf[i] = b

for i in xrange(0, 0x52e0, 3):
buf[data[i + 2]] = Xor(buf[data[i+2]], And(buf[data[i]], buf[data[i+1]]))

actually_zeros += buf[:0x20]

for i, v in enumerate(actually_zeros):
solver.add(v == string3[i])

print "Loaded constraints"
print solver.check()
print "Checked!"
m = solver.model()
ans = "".join("1" if eval(str(m[v])) else "0" for v in string1)
print ''.join(chr(int(ans[i:i+8], 2)) for i in xrange(0, len(ans), 8))

Original writeup (https://gist.github.com/awreece/5745972).