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#!/usr/bin/env python
# -*- coding: utf-8 -*-
__Auther__ = 'M4x'
from z3 import *
from libnum import prime_test as isPrime
from libnum import n2s
def getInput():
a2 = BitVec('a2', 32)
a1 = BitVec('a1', 32)
# print type(a2)
# print type(a1)
s = Solver()
s.add(a2 * a1 == 0xDDC34132)
s.add(((a1 - a2) & 0xFFF) == 0xCDF)
s.add((a1 ^ 0x7E) * (a2 + 16) == 0x732092BE)
while s.check() == sat:
if isPrime(s.model()[a1].as_long()):
print s.model()
s.add(Or(a1 != s.model()[a1], a2 != s.model()[a2]))
else:
print "unset"
def getKey3():
fib = [0, 1]
for i in xrange(2, 9999999):
# print i - 1, (fib[i - 1] & 0xffffffff)
fib.append(fib[i - 1] + fib[i - 2])
if (fib[i] & 0xffffffff) == 4284256177:
return i * 1234567890 + 1
def getFlag():
junk_data = [
0x09, 0x23, 0x8C, 0xB9, 0x2F, 0x19, 0x8D, 0xF8, 0xF3, 0x79, 0x81, 0x87, 0x93, 0x99, 0x35, 0x52, 0x9C, 0xF0, 0x34, 0x99, 0x23, 0xB1, 0x84, 0x1D, 0xF0, 0x8F, 0x7E, 0x45, 0x0F, 0xCB, 0x40, 0xF8, 0x4E, 0xD1, 0x42, 0x29, 0x76, 0x17, 0x43, 0xE1, 0xAC, 0x04, 0x37, 0xA0, 0xE4, 0x30, 0x59, 0xA9, 0x68, 0xD9, 0x1C, 0x96, 0xFC, 0x1D, 0x85, 0xEA, 0xD2, 0x94, 0x07, 0x90, 0x09, 0xD2, 0xC9, 0x19, 0x86, 0xC9, 0xDC, 0x24, 0x6F, 0x3B, 0x5C, 0x92, 0x4C, 0x9F, 0xD9, 0x50, 0xDD, 0x98, 0x37, 0x1C, 0xB1, 0xDA, 0xA5, 0x44, 0xF2, 0x8E, 0x43, 0x66, 0x91, 0xA3, 0xDF, 0xAF, 0x3A, 0x7E, 0x65, 0x91, 0x19, 0x22, 0xFD, 0xFE, 0x14, 0xBA, 0x0A, 0xE1, 0xB9, 0x61, 0x73, 0x86, 0xE1, 0x96, 0xC1, 0x67, 0xCE, 0x06, 0x25, 0x74, 0xF0, 0x2E, 0xA3, 0xBB, 0xED, 0x68, 0x3E, 0x53, 0x30, 0x43, 0x0E, 0x53, 0xB8, 0x8A, 0x9C, 0x95, 0x41, 0xC3, 0xB0, 0x25, 0x1C, 0xCB, 0x38, 0x86, 0xA6, 0x7A, 0x6F, 0xF2, 0x63, 0x0A, 0x19, 0x7C, 0x07, 0xDA, 0x6F, 0xA2, 0x4E, 0xD2, 0x74, 0x4A, 0xF9, 0xAF, 0xC2, 0x9C, 0xFD, 0x89, 0xE6, 0x04, 0x11, 0xF6, 0x6F, 0xF5, 0x98, 0x55, 0x9D, 0x37, 0x12, 0xF2, 0xA6, 0x66, 0xBE, 0x85, 0x87, 0x8E, 0x87, 0x64, 0x5E, 0xA0, 0x61, 0x52, 0xD8, 0xBB, 0x39, 0x3D, 0x7B, 0xD2, 0x47, 0x27, 0x37, 0x30, 0xB5, 0xF8, 0x90, 0xFC, 0x50, 0xF3, 0xC1, 0x5C, 0x6B, 0xA4, 0xBE, 0x8D, 0xA5, 0xEA, 0xDD, 0x72, 0xF2, 0x28, 0xE1, 0x74, 0xEF, 0x07, 0x10, 0xCF, 0x39, 0x7D, 0x58, 0xE7, 0x46, 0x09, 0x04, 0xE9, 0xE9, 0x37, 0xD7, 0xE1, 0x20, 0xF9, 0xC2, 0x54, 0x28, 0xE7, 0x30, 0xE8, 0x86, 0x58, 0x77, 0x6C, 0x7D, 0x2E, 0x00, 0xCE, 0xCC, 0x9C, 0xFB, 0xA3, 0x8D, 0xD1, 0x04, 0x98, 0x9D, 0x4F, 0xE8, 0x1F, 0x60, 0x3A, 0x8A, 0x5B, 0x1A, 0x11, 0x55, 0xF0, 0x6B, 0xCF, 0xD8, 0x6D, 0x75, 0x30, 0x9A, 0xD8, 0xD8, 0x5D, 0x2E, 0x90, 0x7E, 0x43, 0x5C, 0xEB, 0x3F, 0x26, 0x78, 0xAF, 0xB3, 0xB0, 0xC3, 0x1C, 0xE9, 0xAB, 0x94, 0xE6, 0xC1, 0x49, 0x25, 0x4B, 0xAA, 0xFF, 0x59, 0xE1, 0x11, 0x48, 0x3C, 0xB9, 0x16, 0x67, 0x27, 0xF9, 0xA0, 0x29, 0x68, 0x2E, 0xFB, 0x45, 0x5D, 0x29, 0x12, 0x0A, 0x36, 0x04, 0x54, 0xB3, 0xCF, 0x87, 0x24, 0x37, 0x8E, 0x7C, 0x5A, 0xEF, 0xF8, 0x33, 0xE2, 0xE0, 0x89, 0x83, 0xA8, 0x4D, 0x72, 0x28, 0x80, 0xAA, 0xD4, 0x0E, 0xDD, 0x72, 0xA5, 0x0B, 0xAD, 0x85, 0x6F, 0xEE, 0x44, 0xAD, 0x43, 0x7D, 0x30, 0xC2, 0x15, 0xC9, 0x72, 0x12, 0x53, 0x8A, 0x37, 0x9D, 0xF2, 0x64, 0x1D, 0x21, 0x5E, 0x49, 0x78, 0x54, 0xC0, 0xF0, 0xA9, 0x81, 0xE3, 0x32, 0xD4, 0x99, 0x81, 0x88, 0x64, 0xFE, 0x20, 0x92, 0x89, 0xD0, 0xC9, 0x5A, 0xCE, 0xFA, 0xB5, 0xE4, 0x2A, 0x9D, 0x50, 0xAB, 0x32, 0x35, 0x8D, 0x31, 0x4C, 0x94, 0x6C, 0xC0, 0xEF, 0xF4, 0xE2, 0x40, 0xF7, 0x47, 0x51, 0xDB, 0x1C, 0x6D, 0x3B, 0x6B, 0xEA, 0xDA, 0x16, 0x9A, 0x27, 0x68, 0xA3, 0x73, 0xBF, 0x9D, 0x40, 0x8F, 0x07, 0xF3, 0xC7, 0x65, 0x57, 0xB7, 0x7E, 0x0C, 0xEA, 0xC9, 0x9F, 0x7F, 0x46, 0x82, 0xE6, 0x5C, 0xE6, 0xDF, 0xFE, 0x42, 0x41, 0x12, 0x62, 0x33, 0x74, 0xFF, 0xE9, 0x52, 0xD1, 0x0F, 0x75, 0x88, 0x43, 0x17, 0x02, 0x5A, 0x9E, 0x29, 0xAD, 0x40, 0x62, 0xDB, 0x1F, 0x2C, 0xE7, 0xA8, 0x6E, 0xAC, 0x62, 0xC4, 0xBE, 0xEC, 0x98, 0xB3, 0xE9, 0x44, 0xD4, 0x3E, 0xC3, 0x9E, 0x0F, 0xBC, 0xAD, 0xC6, 0x28, 0x28, 0x95, 0x93, 0xD1, 0xD5, 0x03, 0xAA, 0x78, 0xE3, 0x0D, 0x20, 0x90, 0x58, 0x82, 0xCC, 0x5F, 0x46, 0xF9, 0x2C, 0x17, 0x55, 0xDB, 0x96, 0x0A, 0x34, 0x69, 0x6B, 0x87, 0x2B, 0xB2, 0x45, 0x9D, 0x7C, 0xEA, 0xF3, 0xAB, 0x19, 0x6A, 0xE3, 0x73, 0x9D, 0x84, 0x6C, 0x3A, 0x04, 0xB5, 0x07, 0x3D, 0x10, 0x3E, 0x67, 0x5E, 0x53, 0x86, 0xDB, 0xA0, 0x39, 0xAB, 0xE0, 0x06, 0x22, 0x27, 0x8C, 0x81, 0xD3, 0xC6, 0x1F, 0x15, 0x35, 0x8D, 0x26, 0x8D, 0x67, 0x03, 0xBD, 0xC3, 0x76, 0xF7, 0x27, 0x29, 0x82, 0xAF, 0x64, 0x9D, 0x15, 0x0F, 0xBE, 0xAD, 0xAB, 0x39, 0x50, 0xD7, 0xB9, 0x1B, 0x0A, 0x3F, 0x99, 0xCC, 0x6A, 0xF5, 0xFF, 0x5B, 0xDE, 0x9F, 0xD1, 0x4D, 0xFC, 0xF4, 0x21, 0x83, 0xD0, 0x33, 0xAB, 0xA4, 0x3E, 0x3B, 0x3A, 0x67, 0x41, 0xDE, 0x93, 0xB1, 0x2A, 0xC4, 0x98, 0xDA, 0xEA, 0x51, 0xFD, 0xCF, 0xEB, 0xF0, 0xC7, 0x1F, 0xF6, 0x4C, 0xFC, 0x04, 0xEF, 0x24, 0x51, 0xBF, 0x0D, 0xB0, 0x50, 0x2C, 0x06, 0xAA, 0x0E, 0x2F, 0x74, 0xB0, 0xD5, 0x27, 0xE7, 0xD3, 0xC4, 0xA7, 0x57, 0x0D, 0x31, 0xCE, 0xD2, 0x5F, 0x6F, 0x99, 0x43, 0xDB, 0x93, 0x59, 0x24, 0xC0, 0xA8, 0x29, 0x3F, 0xDA, 0x70, 0xBD, 0x92, 0x8A, 0xC5, 0x76, 0xF9, 0x31, 0x8B, 0x98, 0xD6, 0x0A, 0x7C, 0xA0, 0x8D, 0x9B, 0x96, 0x4A, 0x77, 0x5B, 0xC2, 0xE5, 0x46, 0x72, 0x28, 0x4F, 0x54, 0x44, 0x06, 0xB4, 0xE5, 0xB2, 0x6C, 0xEF, 0x4E, 0x1E, 0x7E, 0xAE, 0x0A, 0xC0, 0x7D, 0x1E, 0x6E, 0x80, 0x3A, 0xDF, 0x88, 0x07, 0x4B, 0xF8, 0xCE, 0x3A, 0x40, 0x60, 0x6F, 0xDA, 0x9F, 0xE4, 0xD9, 0x58, 0xA3, 0x19, 0xEC, 0x5A, 0xD8, 0x85, 0x52, 0x1E, 0xA8, 0xCA, 0x04, 0xDC, 0x5D, 0xD2, 0x77, 0x45, 0x35, 0xB0, 0x5A, 0xD1, 0xCD, 0xDC, 0x30, 0xA6, 0x14, 0xA6, 0xA1, 0xBF, 0x24, 0xE1, 0xDE, 0xE6, 0xEF, 0xA9, 0x0E, 0x00, 0x64, 0x5D, 0xEF, 0x11, 0x4A, 0xF3, 0x38, 0x52, 0x86, 0x81, 0x6F, 0x42, 0xFB, 0x8B, 0x4B, 0x36, 0xFB, 0x79, 0x9D, 0x82, 0xBC, 0x0D, 0x01, 0x14, 0x42, 0x86, 0xD7, 0x65, 0xB4, 0x51, 0xBF, 0xEC, 0x64, 0xE4, 0x61, 0x21, 0x63, 0x99, 0xD3, 0xC5, 0xFE, 0x58, 0x0A, 0xF5, 0xA1, 0xD5, 0xB0, 0xD9, 0xB4, 0x8A, 0x02, 0xC7, 0x50, 0xDE, 0xDE, 0xF2, 0xBE, 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0x47, 0x73, 0xF0, 0xAA, 0x3A, 0xC5, 0xB8, 0xB0, 0x65, 0xDD, 0x34, 0x48, 0x80, 0x30, 0x46, 0xE0, 0x0A, 0xDD, 0x1B, 0xC6, 0xD6, 0x88, 0xFB, 0x76, 0x0A, 0xA5, 0xE9, 0xB5, 0xC8, 0xBC, 0x0B, 0x82, 0x1C, 0x33, 0xA3, 0x4D, 0xD3, 0xCE, 0x2F, 0x2A, 0x8E, 0xFA, 0xAA, 0xB2, 0x5D, 0x57, 0x89, 0x03, 0x56, 0x5F, 0xF2, 0x05, 0xF7, 0x24, 0xE6, 0xB6, 0x13, 0x84, 0xBC, 0x5D, 0xA5, 0x8F, 0x0D, 0xAC, 0xC1, 0xA7, 0xDB, 0x2A, 0xDF, 0xB9, 0xDA, 0x91, 0xFB, 0xF1, 0xD7, 0x83, 0x36, 0xCC, 0x3D, 0xBE, 0x14, 0xEF, 0x51, 0x57, 0xE1, 0xBF, 0x6A, 0x3F, 0x5F, 0xEA, 0xA8, 0x08, 0xB6, 0x83, 0x84, 0xA2, 0x8B, 0x2F, 0x13, 0x2B, 0x59, 0x9D, 0x86, 0x29, 0x22, 0x53, 0x17, 0xEE, 0x15, 0x84, 0x3B, 0x1E, 0x2D, 0x10, 0xF0, 0x8B, 0xC3, 0xAD, 0x4B, 0x45, 0x50, 0x06, 0x12, 0xAA, 0x94, 0x60, 0x07, 0x09, 0x6B, 0x2A, 0xDA, 0xBF, 0x86, 0x90, 0x9A, 0xFB, 0xAF, 0xEC, 0xBE, 0x05, 0x4A, 0x1E, 0xFC, 0x6E, 0xFE, 0x81, 0xC0, 0x1B, 0xB2, 0x39, 0x2F, 0x5C, 0x05, 0x40, 0xAB, 0x0B, 0x4E, 0xE3, 0x69, 0x15, 0x9A, 0x3F, 0x70, 0x94, 0x10, 0xE7, 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a1 = 4284256177
a2 = 1234567890
a3 = 1095061718431
v5 = 4
flag = n2s(0x8B9551FA * a3)[::-1][:v5]
# print flag
while a2:
v3 = v5
v5 += 1
c = chr(((junk_data[a1 & 0xFFF] ^ a2) & 0xFF) % 128)
# flag += c if 0x20 <= ord(c) < 0x7f else ""
flag += c
# print ord(c)
a1 *= 77777
a2 = a3 ^ (a2 >> 1)
a3 >>= 1
flag += c
print flag
print len(flag)
print v5
if __name__ == "__main__":
getInput()
# [a2 = 1234567890, a1 = 2136772529]
# [a2 = 1234567890, a1 = 4284256177]
key3 = getKey3()
print "key3 -> %d" % key3
getFlag()
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