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[原创]第六题 一尺之棰
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2020-4-26 20:25 4591
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题目分析
1. 程序接收输入将其转换为数值,要求输入长度64,输入字符为0-9,A-F
2. 保存当前输入长度到输出的起始两个字节
3. 逐字节的将输入转化(转化过程见代码)为一定长度的bits
4. 处理完输入后再额外处理5个字节,数值为current_len & 1
5. 把输出当输入重复步骤2 16次
6. 要求输出和内置的数组相等
解题思路
1. 输出数组的头两个字节为上一次输入的长度
2. 输入长度之后的一定长度的bit仅和输入的第一个字节有关
3. 之后bit都和当前输入字节以及之前的输入有关
因此可以逐字节的爆破出输入,重复16次后得到注册码,此方法简单无脑,就是效率低
解题代码
计算时要注意设置舍入控制位域为向上,同时注意double和int间的类型转换和数值复制的区别
最终结果为:504964774D526B756F467A705C4D654B7645587746634A7A75505F757A75776C
#include <vector> #include <xmmintrin.h> using namespace std; typedef struct { vector<unsigned int> ary; double v12; double v13; vector<unsigned char> buf; int v15; int v18; int v14; vector<unsigned char> results; } statu; void init_statu(statu& s) { for (int i = 0; i < 257; i++) s.ary.push_back(i); s.buf.assign(0x2000, 0); s.results.assign(0x2000, 0); s.v12 = 0.0; s.v13 = 1.0; s.v15 = 0; s.v18 = 2; s.v14 = 2; } statu next_(unsigned char a, statu s, int n, int m) { uint64_t ary64[257] = { 0 }; double v24 = (s.v13 - s.v12) / (double)(s.ary[256]); double double_value = 0; double* tmp = &double_value; for (int i = 0; i < 257; i++) { *tmp = v24 * (double)s.ary[i] + s.v12; ary64[i] = ((*(uint64_t*)tmp & 0x7FFFFFFC00i64 | (((char)*(uint64_t*)tmp & 7 | ((*(uint64_t*)tmp & 0xFFFFFFFFFFFFFFF8ui64) << 30)) << 6)) << 18) | ((*(uint64_t*)tmp & 0x10000000000000i64 | (((*(uint64_t*)tmp >> 1) ^ (*(uint64_t*)tmp ^ (*(uint64_t*)tmp >> 1)) & 0xFFF8000000000ui64) >> 14)) >> 25); } uint64_t value = ary64[a]; *(uint64_t*)tmp = ((value & 0x8000000 | ((value & 0x1FFF | (2 * (value & 0xFFFFFFFFFFFFE000ui64))) << 14)) << 25) | ((value & 0x1FFFFFFF0000000i64 | (((value >> 30) ^ (value ^ (value >> 30)) & 0x7000000) >> 6)) >> 18); s.v12 = *tmp; value = ary64[a + 1]; *(uint64_t*)tmp = ((value & 0x8000000 | ((value & 0x1FFF | (2 * (value & 0xFFFFFFFFFFFFE000ui64))) << 14)) << 25) | ((value & 0x1FFFFFFF0000000i64 | (((value >> 30) ^ (value ^ (value >> 30)) & 0x7000000) >> 6)) >> 18); s.v13 = *tmp; int buf_index = s.v15; int v34 = 0; int v40 = (int)(s.v12 * 2.0); int v41 = (int)(s.v13 * 2.0); while (v40 == v41) { s.buf[buf_index] = (char)v40; buf_index++; v34++; s.v13 = (s.v13 * 2.0) - v41; v41 = (int)(s.v13 * 2.0); s.v12 = (s.v12 * 2.0) - v40; v40 = (int)(s.v12 * 2.0); if (v34 >= 0x1000) { *(int16_t*)&s.results[0] = 0; return s; } } int v43 = 0; int v44 = v34 + s.v15; int v45 = v44 / 8; s.v15 = v44 % 8; if (v44 / 8 > 0) { buf_index = 0; v43 = ((v44 & 7) + v44) >> 3; int v47 = v45; s.v18 += v45; while (v47) { --v47; unsigned char foo = 0; for (int i = 0, j = 7; i < 8; i++, j--) foo |= (s.buf[buf_index + i] << j); buf_index += 8; s.results[s.v14] = foo; ++s.v14; } } memmove(&s.buf[0], &s.buf[8 * v45], s.v15); for (int i = a + 1; i < 257; i++) { if (i > 0) s.ary[i] += (a % (n + 16)) + (n + 16); } return s; } vector<unsigned char> g_input; int find(statu s, unsigned char* results, int results_len, int n, int16_t m) { if (m > *(int16_t*)results + 5) return 0; int range = 0x100; int i = 0; if (m > *(int16_t*)results) { i = (m - 1) & 1; range = i + 1; } for (; i < range; i++) { unsigned char next_input = i; statu tmp = next_(next_input, s, n, m); if (tmp.v14 > results_len) continue; if (!memcmp(&tmp.results[0], results, tmp.v14)) { if (tmp.v15 ==0) { if (m == *(int16_t*)results + 5 && tmp.v14 == results_len) { g_input.insert(g_input.begin(), next_input); return 1; } } else { unsigned char foo = 0; int p = 0, q = 7; for (; p < tmp.v15; p++, q--) foo |= (tmp.buf[p] << q); if (m == *(int16_t*)results + 5 && tmp.v14 == results_len - 1) { if (foo == results[results_len - 1]) { g_input.insert(g_input.begin(), next_input); return 1; } } unsigned char a1 = foo; unsigned char a2 = results[tmp.v14]; while (a1 != 0) { if (a1 & 1) { if ((a1 & 1) != (a2 & 1)) break; } a1 = a1 >> 1; a2 = a2 >> 1; } if (a1) continue; } if (find(tmp, results, results_len, n, m + 1)) { g_input.insert(g_input.begin(), next_input); return 1; } } else { continue; } } return 0; } char test_input[0x1000] = { 0x11, 0x11, 0x11, 0x11, 0x22, 0x22, 0x22, 0x22, 0x33, 0x33, 0x33, 0x33, 0x44, 0x44, 0x44, 0x44, 0x55, 0x55, 0x55, 0x55, 0x66, 0x66, 0x66, 0x66, 0x77, 0x77, 0x77, 0x77, 0x88, 0x88, 0x88, 0x88 }; int main() { _mm_setcsr(0x5f80);//设置舍入控制位域 unsigned char results[0x1000] = { 0x05, 0x03, 0x82, 0x01, 0xE0, 0xFF, 0xB0, 0xAB, 0xCB, 0x8B, 0xB1, 0x99, 0xCA, 0x1A, 0xC1, 0x57, 0x9A, 0xA7, 0xB1, 0xDA, 0xE5, 0xD5, 0x2E, 0x89, 0x65, 0x70, 0x58, 0x70, 0xA4, 0x5F, 0x6D, 0xBC, 0x44, 0x57, 0xED, 0x48, 0x03, 0xA5, 0x1B, 0xAF, 0x04, 0x28, 0xF8, 0x38, 0x34, 0xC8, 0x9C, 0xAB, 0x6A, 0x16, 0x44, 0x7B, 0x65, 0x62, 0x93, 0x03, 0x21, 0x22, 0x12, 0xCF, 0x7D, 0x0C, 0x18, 0x12, 0xF6, 0x2D, 0x06, 0x81, 0xF3, 0x62, 0x72, 0x6F, 0xB0, 0x5B, 0xA2, 0x9E, 0x13, 0xE9, 0x7D, 0xB3, 0xCA, 0x5A, 0x9F, 0x00, 0xAC, 0xD2, 0xFF, 0xA5, 0x69, 0xD6, 0xC7, 0xED, 0x53, 0x76, 0x8A, 0xFE, 0x19, 0xFF, 0x3C, 0xE9, 0x63, 0x01, 0x66, 0x1B, 0x32, 0xAD, 0xF4, 0x94, 0x4E, 0x68, 0xFF, 0x55, 0x80, 0xF3, 0xD3, 0xDB, 0xB3, 0xC2, 0xCA, 0xF9, 0xA2, 0x5D, 0xCE, 0x12, 0xBD, 0x3C, 0x14, 0x93, 0xF9, 0x88, 0xEE, 0x40, 0x35, 0xF9, 0x16, 0x1C, 0x9F, 0x76, 0xF8, 0x0C, 0x7E, 0xF0, 0xB7, 0x02, 0x5B, 0x89, 0x26, 0xB6, 0xD6, 0x4C, 0xCA, 0xB2, 0x34, 0xD9, 0x8F, 0x6E, 0xFB, 0xF2, 0x52, 0x38, 0x21, 0x84, 0x37, 0xE7, 0x79, 0xF0, 0x4E, 0x09, 0x8C, 0xEC, 0x19, 0xDC, 0x08, 0x1A, 0xF9, 0xFA, 0xAD, 0x02, 0x74, 0x3B, 0x2B, 0x21, 0xCC, 0xD2, 0xBD, 0xAD, 0xB0, 0xB8, 0x56, 0x92, 0x10, 0x4B, 0x3D, 0x12, 0xA5, 0x4D, 0xF9, 0x87, 0xE5, 0x20, 0xEA, 0xE1, 0xD9, 0x5C, 0x7C, 0x5F, 0xB9, 0x25, 0x40, 0xA4, 0xCE, 0x8E, 0xFB, 0x94, 0x79, 0x47, 0xBF, 0x99, 0xBC, 0x17, 0xDC, 0x4C, 0xAD, 0xAB, 0xA6, 0x9C, 0x76, 0xBF, 0xB3, 0x12, 0x60, 0x26, 0xB1, 0x54, 0x1A, 0x41, 0x23, 0xCA, 0x10, 0xB3, 0xBC, 0x36, 0x04, 0x86, 0x27, 0x0D, 0xC2, 0x9C, 0xE1, 0x3C, 0x47, 0x94, 0x11, 0x18, 0x48, 0xC0, 0x88, 0xCA, 0x17, 0xC9, 0xAA, 0x69, 0xA1, 0xEC, 0x2D, 0x88, 0xD8, 0x67, 0x86, 0x90, 0xF0, 0x89, 0xF1, 0x64, 0xA9, 0xE2, 0x5D, 0xB1, 0xAA, 0x70, 0x75, 0xAF, 0x7D, 0x53, 0x30, 0x2D, 0xD9, 0x90, 0xED, 0x28, 0xC5, 0x2C, 0x04, 0x7D, 0x56, 0xDC, 0xBA, 0xDA, 0x09, 0xE2, 0xF0, 0xFF, 0xAF, 0x8F, 0xFF, 0xCE, 0x52, 0xBB, 0xC3, 0xDD, 0x68, 0x23, 0x38, 0xB3, 0x9E, 0x73, 0xCF, 0x68, 0xBD, 0x4B, 0x6B, 0xBB, 0xC6, 0x09, 0xEA, 0x01, 0xB8, 0xF9, 0x15, 0x25, 0x8E, 0x23, 0xE1, 0xC9, 0x60, 0x27, 0xBE, 0x03, 0x24, 0x0F, 0x2F, 0x23, 0xBF, 0x28, 0x0E, 0x60, 0x90, 0x34, 0x7B, 0x34, 0xA8, 0xBB, 0x0F, 0x0C, 0x3C, 0xF3, 0xD9, 0xE4, 0x2C, 0xC9, 0x42, 0xB5, 0x92, 0x6C, 0x70, 0x81, 0x55, 0x6B, 0x0F, 0x27, 0xB9, 0x1F, 0xF7, 0x78, 0x95, 0x4F, 0x69, 0x47, 0x81, 0x2F, 0x99, 0x6E, 0x75, 0x62, 0x5A, 0x78, 0xCA, 0x4C, 0x6C, 0x77, 0x52, 0x48, 0x48, 0xC1, 0x62, 0x6A, 0x4A, 0x90, 0xFB, 0x11, 0x16, 0x97, 0xF2, 0x7F, 0x29, 0xCF, 0x9D, 0xD1, 0x21, 0xB1, 0x3B, 0xD2, 0x60, 0xA7, 0x54, 0xB5, 0x5F, 0x2E, 0x11, 0xBA, 0x5A, 0x6C, 0x7F, 0xC9, 0xB5, 0xA0, 0x2A, 0xE9, 0xD1, 0x15, 0x03, 0x55, 0x4D, 0x88, 0x79, 0xF3, 0xDE, 0xC6, 0xCF, 0x45, 0x7E, 0x43, 0x25, 0x18, 0x21, 0x7E, 0xDE, 0x64, 0x39, 0x20, 0x1A, 0x77, 0x8C, 0x32, 0xAD, 0xB7, 0xE3, 0x1C, 0x32, 0x4C, 0x38, 0x4C, 0xAE, 0x82, 0xD8, 0x08, 0x85, 0x31, 0xA4, 0x1A, 0x40, 0x17, 0x22, 0xAE, 0x57, 0x0D, 0x8C, 0x81, 0x4A, 0x31, 0x60, 0x87, 0xAC, 0x15, 0xFF, 0x74, 0x04, 0xC8, 0xA4, 0xE4, 0x3A, 0x90, 0x0E, 0x40, 0xDE, 0x37, 0xF6, 0x65, 0x93, 0xA7, 0x89, 0xCC, 0xC2, 0x53, 0x58, 0x4E, 0xEB, 0x5A, 0x1B, 0x43, 0x82, 0x03, 0x3B, 0x00, 0xCF, 0x6F, 0x04, 0x3E, 0x38, 0x2A, 0x60, 0x0D, 0x9D, 0xC1, 0x1E, 0x38, 0x05, 0x8D, 0x12, 0x01, 0x33, 0x15, 0x15, 0x20, 0x9D, 0xA4, 0x21, 0xC1, 0x86, 0xB8, 0xEE, 0x6C, 0x9F, 0x32, 0x12, 0x52, 0x4C, 0xED, 0xE5, 0x0E, 0xDD, 0xA7, 0x6A, 0xDB, 0x4D, 0xF3, 0x65, 0xB3, 0x78, 0x2E, 0x19, 0x4B, 0x72, 0xA0, 0x14, 0x68, 0xDE, 0xCD, 0xA2, 0xE0, 0x6A, 0xFE, 0x99, 0x12, 0xAA, 0x1C, 0x5F, 0x4E, 0x7B, 0x94, 0xAD, 0x99, 0x06, 0xA3, 0x23, 0xB5, 0x86, 0x4E, 0x35, 0xC1, 0x7D, 0xA1, 0x7B, 0xF6, 0x5B, 0x78, 0x8D, 0x62, 0xB9, 0x9E, 0x17, 0x68, 0x7D, 0x21, 0x80, 0xFF, 0xFA, 0xC9, 0xC6, 0xB0, 0x91, 0xA7, 0x54, 0x0B, 0xB9, 0x0C, 0xA6, 0xF3, 0xC4, 0x23, 0xBD, 0x39, 0xF8, 0x44, 0x65, 0x46, 0xAC, 0xB0, 0x03, 0xD4, 0xEE, 0x40, 0x20, 0xBA, 0x10, 0x56, 0xF2, 0x99, 0x27, 0x9F, 0x55, 0x3B, 0x92, 0xF1, 0x89, 0x5B, 0xAF, 0x77, 0x53, 0x54, 0x15, 0xD3, 0x45, 0x41, 0x11, 0xD8, 0x70, 0xB0, 0xAC, 0xC5, 0x5C, 0x22, 0xF3, 0xF0, 0x85, 0x1E, 0x51, 0x01, 0x0B, 0x7E, 0x65, 0x9D, 0x1F, 0xD1, 0x29, 0xAD, 0xFE, 0x6B, 0x0E, 0xB3, 0xC3, 0x19, 0xC3, 0x49, 0x24, 0x45, 0xB1, 0x04, 0x4F, 0xAB, 0xDC, 0xC8, 0xA5, 0xD6, 0x28, 0x02, 0x53, 0xE6, 0xB5, 0x5E, 0xA6, 0x93, 0x8C, 0x02, 0xCF, 0x79, 0x8A, 0x46, 0x4B, 0x14, 0x77, 0x3C, 0x20, 0x60, 0xF6, 0x9E, 0xAC, 0xFF, 0x74, 0x37, 0x90, 0x86, 0xE3, 0xD8, 0x9C, 0xA1, 0x63, 0xFF, 0x69, 0xBD, 0x8C, 0x5A, 0x2A, 0xA9, 0x1E, 0x8B, 0xA5, 0x36, 0xA6, 0xA1, 0xBC, 0x38, 0x05, 0xD1, 0xAA, 0x86, 0x29, 0x9F, 0x23, 0x7D, 0x58, 0xDF, 0x78, 0x08, 0x81, 0x2A, 0x05, 0xD6, 0x77, 0xD5, 0x90, 0x4E, 0xB4, 0x45, 0xC5, 0xE7, 0xCC, 0x75, 0xCC, 0x7D, 0x4B, 0xC2, 0x60, 0x4D, 0xF7, 0xF0, 0xC6, 0x53, 0x51, 0x79, 0xA6, 0xEA, 0x52, 0xC2, 0xA1, 0xA7, 0x80, 0x0C, 0x7A, 0x72, 0x76, 0xCA, 0x08, 0x8D, 0xDC, 0x3C, 0x21, 0xCA, 0xA0, 0x9C, 0x2A, 0xC3, 0xFD, 0x7A, 0x1D, 0xE6, 0xFC, 0xFD, 0x16, 0x27, 0x1C, 0xBC, 0x87, 0x91, 0xB5, 0xB9, 0xE1, 0xBB, 0xE9, 0x3F, 0xCA, 0x13, 0x2C, 0xE1, 0x82, 0x86, 0x33, 0xB3, 0xC2, 0xBF, 0x10, 0xC5, 0xC2, 0x56, 0xF4, 0xFE, 0x86, 0xB8, 0x3D, 0x19, 0xEB, 0x55, 0xAE, 0xCE, 0x7E, 0x29, 0x7E, 0xE4, 0xD8, 0xE6, 0x28, 0xBA, 0x00, 0xBE, 0xE4, 0xB6, 0x65, 0x81, 0x2E, 0xFA, 0x49, 0x36, 0x74, 0x79, 0x5B, 0xBB, 0x7F, 0x46, 0xA6, 0x61, 0xD9, 0xDF, 0x2E, 0xDD, 0xF7, 0x55, 0x02, 0x65, 0xA7, 0xF8, 0x55, 0x4E, 0x69, 0x65, 0xEB, 0xFC, 0xB3, 0xDC, 0x92, 0x62, 0x79, 0x1E, 0xE0, 0xCF, 0x3B, 0xD5, 0xAB, 0x8A, 0x5C, 0x93, 0x14, 0x8E, 0x21, 0xC4, 0x98, 0xEA }; int results_len = 0x38A; statu s; init_statu(s); for (int n = 15; n >= 0; n--) { statu s; init_statu(s); memcpy(&s.results[0], results, 2); ::find(s, results, results_len, n, 1); for (int i = 0; i < g_input.size(); i++) { printf("%.02x ", g_input[i]); } printf("\n%d -----------------------------\n", n); if (g_input.size() == 0) break; results_len = g_input.size() -5; memcpy(results, &g_input[0], results_len); g_input.clear(); } return 0; }
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