# 创建 8 位可打印 ASCII 字符变量 x[0] ~ x[37] x = [BitVec(f'x_{i}', 8) for i in range(38)] solver = Solver() solver.add([And(32 <= xi, xi <= 126) for xi in x]) # 限制为可见字符
# 读取并逐条添加方程 with open('eq_decoded.txt') as f: for i, line in enumerate(f, 1): line = line.strip() if not line: continue try: solver.add(eval(line, {}, {"x": x})) except Exception as e: print(f"[!] Line {i} Error: {e}\n{line}")
# 求解并输出结果 if solver.check() == sat: model = solver.model() values = [model.evaluate(var).as_long() for var in x] print("✅ Solved:\n" + "\n".join(f"x[{i}] = {v}" for i, v in enumerate(values)))
try: print("\n🔐 ASCII:", ''.join(map(chr, values))) except: print("⚠️ Some values could not be converted to characters.")
elif solver.check() == unsat: print("❌ No solution.") else: print("⚠️ Solver could not determine satisfiability.")
for i in range(1000): q_candidate = approx_sqrt - i if sympy.isprime(q_candidate): p_candidate = sympy.nextprime(q_candidate) if p_candidate * q_candidate == N: return p_candidate, q_candidate
for i in range(1, 1000): q_candidate = approx_sqrt + i if sympy.isprime(q_candidate): p_candidate = sympy.nextprime(q_candidate) if p_candidate * q_candidate == N: return p_candidate, q_candidate
return None, None
# 查找 p 和 q p, q = find_p_q() if p is None or q is None: print("❌ 无法找到合适的 p 和 q") else: print(f"✅ 找到 p = {p}") print(f"✅ 找到 q = {q}")
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