\n| to_ullong()<\/td>\n | \u5c06\u4f4d\u56fe\u8f6c\u6362\u4e3a unsigned long long \u7c7b\u578b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/p>\n<\/p>\n ![\"1d98632411b54f46a3dab69304d93ffd.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220539-6855db339d0eb.png\") <\/p>\n
3.\u4f4d\u56fe\u7684\u4f7f\u7528\u573a\u666f<\/h2>\n1.\u5feb\u901f\u7684\u67e5\u627e\u67d0\u4e2a\u6570\u636e\u662f\u5426\u5728\u4e00\u4e2a\u96c6\u5408\u4e2d<\/h3>\n\u73b0\u5728\u968f\u673a\u751f\u621010000\u4e2a\u8303\u56f4\u57280~15000\u7684\u6574\u6570，\u68c0\u9a8c\u67d0\u4e9b\u6570\u636e\u662f\u5426\u5b58\u5728：<\/p>\n #include <bitset>
\n#include <iostream>
\n#include <vector>
\n#include <random>
\n#include <chrono><\/p>\n using namespace std;<\/p>\n int main() {
\n const int num_elements = 10000; \/\/ \u5143\u7d20\u6570\u91cf
\n const int min_value = 0; \/\/ \u6700\u5c0f\u503c
\n const int max_value = 15000; \/\/ \u6700\u5927\u503c<\/p>\n \/\/ \u83b7\u53d6\u5f53\u524d\u65f6\u95f4\u4f5c\u4e3a\u79cd\u5b50
\n unsigned seed = static_cast<unsigned>(std::chrono::system_clock::now().time_since_epoch().count());
\n std::mt19937 gen(seed); \/\/ \u4f7f\u7528\u5f53\u524d\u65f6\u95f4\u4f5c\u4e3a\u79cd\u5b50\u751f\u6210\u968f\u673a\u6570<\/p>\n std::uniform_int_distribution<> dis(min_value, max_value); \/\/ \u5747\u5300\u5206\u5e03<\/p>\n \/\/ \u521b\u5efa\u4e00\u4e2a vector \u5e76\u586b\u5145\u968f\u673a\u6570
\n std::vector<int> nums(num_elements);
\n for (int& number : nums) {
\n number = dis(gen); \/\/ \u751f\u6210\u968f\u673a\u6570\u5e76\u8d4b\u503c
\n }<\/p>\n \/\/ \u521b\u5efa\u4f4d\u56fe，\u8303\u56f4\u662f 0 \u5230 max_value
\n bitset<max_value + 1> bitset;<\/p>\n \/\/ \u5c06\u751f\u6210\u7684\u968f\u673a\u6570\u6620\u5c04\u5230\u4f4d\u56fe\u4e2d
\n for (const auto& it : nums) {
\n bitset.set(it);
\n }<\/p>\n \/\/ \u68c0\u67e5\u67d0\u4e2a\u6570\u662f\u5426\u5b58\u5728
\n vector<int> num_test = { 5, 64, 862, 1356, 45, 236, 856, 12, 489, 6116, 1648, 216, 1554, 335, 795, 211 };
\n cout << "\u5b58\u5728\u6027\u68c0\u67e5\u7ed3\u679c：\\\\n";
\n for (const auto& it : num_test) {
\n if (bitset.test(it)) { \/\/ \u68c0\u67e5 num \u7684\u4f4d\u662f\u5426\u4e3a 1
\n cout << it << " \u5b58\u5728.\\\\n";
\n }
\n else {
\n cout << it << " \u4e0d\u5b58\u5728.\\\\n";
\n }
\n }<\/p>\n return 0;
\n} <\/p>\n \u5206\u522b\u8fd0\u884c\u4e09\u6b21\u7684\u7ed3\u679c：\u00a0<\/p>\n ![\"93dfe1d32d564d7f9ac451d62d747bc7.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220539-6855db33bb098.png\") ![\"7152ad69153045d1887e6742d5cd795c.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220539-6855db33cc3cf.png\") ![\"4db900f0a6e8433db35f6890d4ce5b22.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220539-6855db33dd470.png\") <\/p>\n
2.\u6392\u5e8f+\u53bb\u91cd<\/h3>\n\u4f4d\u56fe\u548c\u54c8\u5e0c\u8868\u5e95\u5c42\u90fd\u662f\u54c8\u5e0c\u7ed3\u6784，\u4e3a\u4ec0\u4e48\u54c8\u5e0c\u8868\u4e0d\u80fd\u5b9e\u73b0\u6392\u5e8f\u800c\u4f4d\u56fe\u53ef\u4ee5\u5462？<\/p>\n \u56e0\u4e3a\u54c8\u5e0c\u8868\u7684\u5b58\u50a8\u4f4d\u7f6e\u662f\u901a\u8fc7\u54c8\u5e0c\u51fd\u6570\u6c42\u5f97\u7684\u7684\u54c8\u5e0c\u503c\u51b3\u5b9a\u7684，\u4e0d\u540c\u7684\u5143\u7d20\u53ef\u80fd\u6709\u76f8\u540c\u7684\u54c8\u5e0c\u503c，\u56e0\u6b64\u5143\u7d20\u7684\u5b58\u50a8\u662f\u975e\u7ebf\u6027\u7684\u3002<\/p>\n \u800c\u4f4d\u56fe\u7684\u5b58\u50a8\u4f4d\u7f6e\u5c31\u662f\u6570\u636e\u672c\u8eab\u51b3\u5b9a\u7684，\u6bcf\u4e2a\u6bd4\u7279\u4f4d\u5bf9\u4e8e\u4e00\u4e2a\u5143\u7d20，\u56e0\u6b64\u5143\u7d20\u7684\u5b58\u50a8\u662f\u7ebf\u6027\u7684\u3002<\/p>\n \u4e0b\u9762\u6765\u770b\u793a\u4f8b：<\/p>\n #include <iostream>
\nusing namespace std;
\n#include <bitset>
\n#include <vector><\/p>\n const size_t MAX_SIZE = 1000; \/\/ \u6570\u636e\u8303\u56f4\u662f 0 \u5230 1,000,000<\/p>\n int main() {
\n bitset<MAX_SIZE> bitset;<\/p>\n \/\/ \u6a21\u62df\u6570\u636e\u63d2\u5165（\u5305\u62ec\u91cd\u590d\u6570\u636e）
\n vector<int> data = { 566,254,4,26,326,2,495,56,98,26,254,566,235,66 };
\n cout << "\u6392\u5e8f+\u53bb\u91cd\u524d\u7684\u6570\u636e:\\\\n";
\n for (auto it : data) {
\n cout << it << " ";
\n }
\n cout << "\\\\n";<\/p>\n for (int num : data) {
\n bitset.set(num); \/\/ \u5c06\u6570\u636e\u6620\u5c04\u5230\u4f4d\u56fe\u4e2d
\n }<\/p>\n \/\/ \u904d\u5386\u4f4d\u56fe，\u8f93\u51fa\u6240\u6709\u7f6e\u4f4d\u4e3a 1 \u7684\u4f4d\u7f6e（\u5373\u6709\u5e8f\u7684\u3001\u53bb\u91cd\u7684\u6570\u636e）
\n cout << "\u6392\u5e8f+\u53bb\u91cd\u540e\u7684\u6570\u636e:\\\\n";
\n for (size_t i = 0; i < MAX_SIZE; ++i) {
\n if (bitset.test(i)) {
\n cout << i << " ";
\n }
\n }
\n cout << "\\\\n";<\/p>\n return 0;
\n}<\/p>\n \u00a0![\"461784c045cf42d4aca0630fecffd903.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220539-6855db33eea33.png\") <\/p>\n 3.\u6c42\u4e24\u4e2a\u96c6\u5408\u7684\u4ea4\u96c6\u548c\u5e76\u96c6<\/h3>\n\u4f4d\u56fe\u662f\u5982\u4f55\u5b8c\u6210\u4ea4\u96c6\u5e76\u96c6\u8fd0\u7b97\u7684\u5462？\u7531\u4e8e\u4f4d\u56fe\u7684\u6bcf\u4e00\u4e2abit\u4f4d\u5b58\u50a8\u5bf9\u5e94\u5143\u7d20\u7684bool\u503c（0\u62161），\u800c\u76f8\u540c\u5143\u7d20\u5728\u4e0d\u540c\u4f4d\u56fe\u4e2d\u7684\u5b58\u50a8\u4f4d\u7f6e\u662f\u4e00\u6837\u7684，\u6211\u4eec\u5bf9\u4e24\u4e2a\u4f4d\u56fe\u8fdb\u884c\u6309\u4f4d\u4e0e\u8fd0\u7b97，\u5c31\u53ef\u4ee5\u5f97\u5230\u4ea4\u96c6；\u8fdb\u884c\u6309\u4f4d\u6216\u8fd0\u7b97，\u5c31\u53ef\u4ee5\u5f97\u5230\u5e76\u96c6\u3002<\/p>\n ![\"cb13a980975a44c592ffc79dac33f5dc.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220540-6855db34091b8.png\") <\/p>\n
![\"c08cf7721876420b946e89c6c975c248.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220540-6855db342d724.png\") <\/p>\n
#include <iostream>
\n#include <bitset>
\nconst size_t MAX_SIZE = 1000000;
\nusing namespace std;<\/p>\n int main() {
\n bitset<MAX_SIZE> setA;
\n bitset<MAX_SIZE> setB;<\/p>\n \/\/ \u63d2\u5165\u4e00\u4e9b\u6570\u636e\u5230\u96c6\u5408 A
\n setA.set(123456);
\n setA.set(654321);
\n setA.set(500);<\/p>\n \/\/ \u63d2\u5165\u4e00\u4e9b\u6570\u636e\u5230\u96c6\u5408 B
\n setB.set(654321);
\n setB.set(500);
\n setB.set(999999);<\/p>\n \/\/ \u6c42\u4ea4\u96c6（A & B）
\n bitset<MAX_SIZE> intersection = setA & setB;
\n cout << "\u4ea4\u96c6:\\\\n";
\n for (size_t i = 0; i < MAX_SIZE; ++i) {
\n if (intersection.test(i)) {
\n cout << i << " ";
\n }
\n }
\n cout << "\\\\n";<\/p>\n \/\/ \u6c42\u5e76\u96c6（A | B）
\n bitset<MAX_SIZE> unionSet = setA | setB;
\n cout << "\u5e76\u96c6:\\\\n";
\n for (size_t i = 0; i < MAX_SIZE; ++i) {
\n if (unionSet.test(i)) {
\n cout << i << " ";
\n }
\n }
\n cout << "\\\\n";<\/p>\n return 0;
\n} <\/p>\n ![\"382aa79a5af5475f9f3bb20cf5152990.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220540-6855db3452066.png\") <\/p>\n
4.\u4f4d\u56fe\u7684\u5e95\u5c42\u5b9e\u73b0<\/h2>\n\u4f4d\u56fe\u7684\u5e95\u5c42\u5176\u5b9e\u662f\u4e00\u4e2avector\u5bb9\u5668，\u5bb9\u5668\u5185\u90e8\u5b58\u653e\u6574\u5f62\u5143\u7d20，\u4e00\u4e2a\u6574\u5f62\u5143\u7d20\u53ef\u4ee5\u5b58\u653e32\u4e2a\u5bf9\u5e94\u5143\u7d20\u7684\u72b6\u6001（bool\u503c），\u5e76\u4e14\u901a\u8fc7\u4f4d\u8fd0\u7b97\u5b9e\u73b0\u6620\u5c04\u5173\u7cfb\u7684\u5bf9\u5e94\u3002<\/p>\n \u5e95\u5c42\u5b58\u50a8\u7ed3\u6784：<\/p>\n ![\"4b11b0380f8042d690cb2e982a48c80a.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220540-6855db3460b58.png\") <\/p>\n
\u79c1\u6709\u6210\u5458\u5b9a\u4e49\u4e0e\u521d\u59cb\u5316<\/h3>\n\u5728bitset\u7c7b\u4e2d，\u6211\u4eec\u9700\u8981\u4e00\u4e2a_bitCount\u6210\u5458\u8868\u793a\u6bd4\u7279\u4f4d\u7684\u603b\u4e2a\u6570\u7528\u4e8e\u5bf9bitset\u7684\u521d\u59cb\u5316，\u4ee5\u53ca\u4e00\u4e2a_bit（vector<int>\u7c7b\u578b\u7684\u5bb9\u5668\u00a0）\u7528\u4e8e\u5b58\u50a8\u5143\u7d20\u3002<\/p>\n class bitset
\n{<\/p>\n private:
\nvector<int> _bit;
\nsize_t _bitCount;
\n}; <\/p>\n \u4f4d\u56fe\u7684\u5927\u5c0f\u662f\u56fa\u5b9a\u7684，\u6839\u636e_bitCount\u7684\u5927\u5c0f\u8fdb\u884c\u7a7a\u95f4\u5f00\u8f9f，\u800c_bitCount\u7684\u5927\u5c0f\u662f\u7531\u5f85\u5b58\u50a8\u5143\u7d20\u7684\u6700\u5927\u503c\u51b3\u5b9a\u7684\u3002\u4f46\u662f_bitCount\u7684\u5355\u4f4d\u662fbit，\u800cvector\u4e2d\u5b58\u50a8\u5355\u4f4d\u662f\u6574\u5f62，\u6240\u4ee5\u6211\u4eec\u9700\u8981\u8fdb\u884c\u6362\u7b97，\u5c06_bitCount>>5（\u4e5f\u5c31\u662f\u9664\u4ee52^5）\u5e76+1（\u7531\u4e8e\u9664\u6cd5\u4f1a\u5411\u4e0b\u53d6\u6574，\u4f8b\u5982\u00a0bitCount \u662f 33，33 >> 5 \u8ba1\u7b97\u7ed3\u679c\u662f 1，\u4f46\u6211\u4eec\u5b9e\u9645\u4e0a\u9700\u8981 2 \u4e2a\u6574\u578b\u6765\u5b58\u50a8 33 \u4e2a\u6bd4\u7279\u4f4d）<\/p>\n bitset(size_t bitCount)
\n: _bit((bitCount >> 5) + 1), _bitCount(bitCount)
\n{} <\/p>\n set\u548creset\u7684\u5b9e\u73b0<\/h3>\n\u5047\u8bbe\u7528which\u8868\u793a\u8981\u5b58\u50a8\u7684\u5143\u7d20，\u6211\u4eec\u9700\u8981\u6c42\u5f97\u6620\u5c04\u4f4d\u7f6e\u3002\u6211\u4eec\u53ef\u4ee5\u628a\u6bcf\u4e2a\u5143\u7d20\u5f53\u6210\u4e00\u4e2a\u6570\u7ec4，\u6570\u7ec4\u4e2d\u5305\u542b32\u4e2a\u6bd4\u7279\u4f4d，\u6b64\u65f6\u5c06which\/32\u5c31\u53ef\u4ee5\u5f97\u51fa\u5b58\u50a8\u5728\u7b2c\u51e0\u4e2a\u6570\u7ec4\u4e2d，\u5e76\u7528which%32\u5f97\u5230\u5728\u8be5\u6570\u7ec4\u4e0b\u7684\u5177\u4f53\u6bd4\u7279\u4f4d，\u5047\u8bbewhich = 152：<\/p>\n ![\"abe2b0e5026d4d3d96c25f4f1092aa61.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220540-6855db34753f9.png\") <\/p>\n
\u5b58\u50a8\u4f4d\u7f6e\u4e3av[4]\u7684\u7b2c24\u4e2a\u6bd4\u7279\u4f4d：<\/p>\n ![\"9db9947d1b5e448dac3b586f0a5dce4f.png\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250620220540-6855db34958af.png\") <\/p>\n
\u5982\u6b64\u4e00\u6765\u5c31\u627e\u5230\u4e86\u5bf9\u5e94\u7684\u6620\u5c04\u5173\u7cfb\u3002\u4e0b\u9762\u662f\u4ee3\u7801\u90e8\u5206：<\/p>\n \/\/ \u5c06which\u6bd4\u7279\u4f4d\u7f6e1
\nvoid set(size_t which)
\n{
\nif (which > _bitCount)
\nreturn;
\nsize_t index = (which >> 5);
\nsize_t pos = which % 32;
\n_bit[index] |= (1 << pos); \/\/ \u5c06\u5bf9\u5e94bit\u4f4d\u6539\u4e3a1
\n}
\n\/\/ \u5c06which\u6bd4\u7279\u4f4d\u7f6e0
\nvoid reset(size_t which)
\n{
\nif (which > _bitCount)
\nreturn;
\nsize_t index = (which >> 5);
\nsize_t pos = which % 32;
\n_bit[index] &= ~(1 << pos); \/\/ \u5c06\u5bf9\u5e94bit\u4f4d\u6539\u4e3a0
\n}
\n\/\/ \u68c0\u6d4b\u4f4d\u56fe\u4e2dwhich\u662f\u5426\u4e3a1
\nbool test(size_t which)
\n{
\nif (which > _bitCount)
\nreturn false;
\nsize_t index = (which >> 5);
\nsize_t pos = which % 32;
\nreturn _bit[index] & (1 << pos);
\n}
\n\/\/ \u83b7\u53d6\u4f4d\u56fe\u4e2d\u6bd4\u7279\u4f4d\u7684\u603b\u4e2a\u6570
\nsize_t size()const { return _bitCount; }<\/p>\n \u4ee5\u4e0a\u5c31\u662f\u5bf9\u4f4d\u56fe\u7684\u8be6\u7ec6\u4ecb\u7ecd\u8bf4\u660e，\u6b22\u8fce\u6307\u6b63~<\/p>\n \u7801\u6587\u4e0d\u6613，\u8fd8\u8bf7\u591a\u591a\u5173\u6ce8\u652f\u6301，\u8fd9\u662f\u6211\u6301\u7eed\u521b\u4f5c\u7684\u6700\u5927\u52a8\u529b！<\/p><\/p>\n","protected":false},"excerpt":{"rendered":" \u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb5.6k\u6b21\uff0c\u70b9\u8d5e71\u6b21\uff0c\u6536\u85cf45\u6b21\u3002\u4f4d\u56fe\u53ea\u5b58\u50a8\u6570\u636e\u7684\u72b6\u6001\uff08\u5373\u662f\u5426\u5b58\u5728\uff09\uff0c\u800c\u4e0d\u5b58\u50a8\u6570\u636e\u672c\u8eab\u7684\u503c\uff0c\u4f46\u662f\u6211\u4eec\u4ecd\u53ef\u4ee5\u6839\u636e\u4f4d\u56fe\u7684\u4f4d\u7d22\u5f15\u4f4d\u7f6e\u95f4\u63a5\u67e5\u8be2\u5230\u6570\u636e\u672c\u8eab\u3002\u6bd4\u5982\u8981\u8bb0\u5f55\u6574\u6570\u3002_\u4f4d\u56fe<\/p>\n","protected":false},"author":2,"featured_media":44833,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[868,55,99,3520,1813,427],"topic":[],"class_list":["post-44853","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-868","tag-c","tag-java","tag-3520","tag-1813","tag-427"],"yoast_head":"\n \u3010C++\u3011\u4f4d\u56fe\u8be6\u89e3\uff08\u4e00\u6587\u5f7b\u5e95\u641e\u61c2\u4f4d\u56fe\u7684\u4f7f\u7528\u65b9\u6cd5\u4e0e\u5e95\u5c42\u539f\u7406\uff09 - 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