{"id":25,"date":"2026-02-24T08:59:15","date_gmt":"2026-02-24T00:59:15","guid":{"rendered":"http:\/\/luogu.pro\/?p=25"},"modified":"2026-02-25T08:24:26","modified_gmt":"2026-02-25T00:24:26","slug":"25","status":"publish","type":"post","link":"https:\/\/luogu.pro\/index.php\/2026\/02\/24\/25\/","title":{"rendered":"STL \u4e0e\u5947\u6280\u6deb\u5de7\u2014\u2014\u8003\u573a\u4e0a\u7684\u597d\u5e2e\u624b"},"content":{"rendered":"\n<p>\u672c\u6587\u5bf9 STL \u548c\u90e8\u5206\u51fd\u6570\u76f8\u5173\u7684\u77e5\u8bc6\u8fdb\u884c\u4e86\u603b\u7ed3\u548c\u68b3\u7406\uff0c\u4f5c\u4e3a\u4e00\u7bc7\u5728\u8d5b\u524d\u5b8c\u6210\u7684\u6587\u7ae0\uff0c\u5e0c\u671b\u5b83\u5bf9\u4f60\u7684 NOIP \u6709\u6240\u5e2e\u52a9\u3002<\/p>\n\n\n\n<p>\u53ef\u4ee5\u901a\u8fc7\u6b64\u6587\u8fdb\u884c\u67e5\u6f0f\u8865\u7f3a\uff0c\u53ef\u80fd\u4e00\u4e2a\u751c\u751c\u7684\u8bed\u6cd5\u7cd6\u6216\u8005\u53d1\u73b0\u4e86\u81ea\u5df1\u8bb0\u9519\u7684\u590d\u6742\u5ea6\u5c31\u80fd\u5728\u8003\u573a\u4e0a\u62ef\u6551\u81ea\u5df1\u3002<\/p>\n\n\n\n<p>\u672c\u6587\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e STL \u5bb9\u5668\u3001STL \u51fd\u6570\u4ee5\u53ca\u8bb8\u591a\u5c11\u89c1\u51fd\u6570\u3002<\/p>\n\n\n\n<p>\u5168\u6587\u5b8c\u5168\u624b\u6253\uff0c\u65e0\u4efb\u4f55 AI \u751f\u6210\u5185\u5bb9\u3002\u622a\u81f3\u672c\u6587\u5b8c\u7ed3\uff0c\u6d1b\u8c37\u4e0a\u5e94\u8be5\u6ca1\u6709\u6bd4\u672c\u7bc7\u6587\u7ae0\u66f4\u5168\u7684\u603b\u7ed3\u3002<\/p>\n\n\n\n<p>\u6b22\u8fce\u5927\u5bb6\u5728\u8bc4\u8bba\u533a\u5bf9\u672c\u6587\u63d0\u51fa\u610f\u89c1\uff01<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">vector<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">vector \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td>v.size()<\/td><td rowspan=\"10\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td>v.empty()<\/td><td><\/td><\/tr><tr><td>push_back<\/td><td>\u672b\u5c3e\u63d2\u5165<\/td><td>v.push_back(x)<\/td><td>\u5747\u644a $O(1)$\u3002<\/td><\/tr><tr><td>emplace_back<\/td><td>\u672b\u5c3e\u63d2\u5165<\/td><td>v.emplace_back(x)<\/td><td>\u6548\u679c\u76f8\u540c\uff0c\u5e38\u6570\u7565\u5c0f\u3002<\/td><\/tr><tr><td>pop_back<\/td><td>\u5220\u9664\u672b\u5c3e<\/td><td>v.pop_back()<\/td><td><\/td><\/tr><tr><td>back<\/td><td>\u83b7\u53d6\u672b\u5c3e\u5143\u7d20<\/td><td>v.back()<\/td><td><\/td><\/tr><tr><td>front<\/td><td>\u83b7\u53d6\u5f00\u5934\u5143\u7d20<\/td><td>v.front()<\/td><td><\/td><\/tr><tr><td>begin<\/td><td>\u8fd4\u56de\u5f00\u5934\u8fed\u4ee3\u5668<\/td><td>v.begin()<\/td><td><\/td><\/tr><tr><td>end<\/td><td>\u8fd4\u56de\u672b\u5c3e\u8fed\u4ee3\u5668<\/td><td>v.end()<\/td><td>\u8fd4\u56de\u672b\u5c3e\u66f4\u540e\u7684\u4e00\u4f4d\u3002<\/td><\/tr><tr><td>[]<\/td><td>\u4e0b\u6807\u8bbf\u95ee\u5143\u7d20<\/td><td>v[x]<\/td><td>v.at(pos) \u4f5c\u7528\u76f8\u540c\u3002<\/td><\/tr><tr><td>clear<\/td><td>\u6e05\u7a7a\u5bb9\u5668<\/td><td>v.clear()<\/td><td rowspan=\"5\">$O(n)$<\/td><td>O2 \u4f18\u5316\u4e0b\u4e3a $O(1)$ \u6216 $O(n)$\u3002\u4e0d\u91ca\u653e\u7a7a\u95f4\u3002<\/td><\/tr><tr><td>resize<\/td><td>\u8c03\u6574\u5bb9\u5668\u5927\u5c0f<\/td><td>v.resize(x)<\/td><td>\u4e0d\u91ca\u653e\u7a7a\u95f4\u3002<\/td><\/tr><tr><td>shrink_to_fit<\/td><td>\u5c1d\u8bd5\u91ca\u653e\u7a7a\u95f4<\/td><td>v.shrink_to_fit()<\/td><td>\u5c1d\u8bd5\u91ca\u653e\u672a\u4f7f\u7528\u7a7a\u95f4\u3002<\/td><\/tr><tr><td>insert<\/td><td>\u63d2\u5165\u5143\u7d20<\/td><td>v.insert(pos,x)<\/td><td>\u5c06\u5927\u91cf\u5143\u7d20\u5411\u540e\u79fb\u52a8\u3002<\/td><\/tr><tr><td>erase<\/td><td>\u5220\u9664\u5143\u7d20<\/td><td>v.erase(pos)<\/td><td>\u5c06\u5927\u91cf\u5143\u7d20\u5411\u524d\u79fb\u52a8\u3002<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>\u6ce8\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>@<a href=\"https:\/\/www.luogu.com.cn\/user\/40607\">CommonAnts<\/a> \u5728\u8ba8\u8bba\u533a\u4e2d\u63d0\u5230 <code>reserve()<\/code> \u51fd\u6570\u53ef\u4ee5\u8fdb\u884c\u7f29\u5bb9\uff0c\u4f46\u7ecf\u67e5\u9605 <a href=\"https:\/\/cppreference.cn\/w\/cpp\/container\/vector\">cppreference<\/a>\uff0c\u6b64\u51fd\u6570\u53ea\u8fdb\u884c\u6269\u5bb9\u800c\u4e0d\u7f29\u5bb9\uff0c\u53ea\u6709 <code>shrink_to_fit()<\/code> \u51fd\u6570\u4f1a\u5c1d\u8bd5\u7f29\u5bb9\u3002<\/li>\n\n\n\n<li>\u5728 O2 \u4f18\u5316\u4e0b\uff0c<code>vector::clear()<\/code> \u5bf9\u4e8e trivial \u7c7b\u578b\uff08\u5982 int\u3001long long\u3001double \u7b49\uff09\u4e3a $O(1)$\uff0c\u5bf9\u4e8e\u975e trivial \u7c7b\u578b\uff08\u5982 string\u3001vector\u3001\u7ed3\u6784\u4f53\u7b49\uff09\u4e3a $O(n)$\u3002\u4e0b\u9762 deque \u76f8\u540c\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u8fed\u4ee3\u5668<\/h3>\n\n\n\n<p>\u4e00\u4e2a\u4fdd\u5b58 int \u7684 vector \u8fed\u4ee3\u5668\u58f0\u660e\u4e3a\uff1a<code>vector&lt;int&gt;::iterator it=v.begin();<\/code>\uff0c\u4e8b\u5b9e\u4e0a\uff0c\u8fed\u4ee3\u5668\u7684\u58f0\u660e\u53ef\u4ee5\u4f7f\u7528 auto \u4ee3\u66ff\uff1a<code>auto it=v.begin();<\/code>\uff0c\u540e\u6587\u4e0d\u518d\u9610\u8ff0\u3002<\/p>\n\n\n\n<p>\u53ef\u4ee5\u4f7f\u7528 <code>it++<\/code> \u6216 <code>it--<\/code> \u5bf9 vector \u7684\u8fed\u4ee3\u5668\u8fdb\u884c\u904d\u5386\uff0c\u540c\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>*it<\/code> \u5bf9\u8fed\u4ee3\u5668\u89e3\u5f15\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>for(auto it=v.begin();it!=v.end();it++){\n    cout&lt;&lt; *it &lt;&lt;\"\\n\";\n}<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">queue<\/h2>\n\n\n\n<p>queue \u53c8\u53eb\u961f\u5217\uff0c\u662f\u4e00\u79cd\u5148\u8fdb\u5148\u51fa\u7684\u7ed3\u6784\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">queue \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td>q.size()<\/td><td rowspan=\"6\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td>q.empty()<\/td><td><\/td><\/tr><tr><td>push<\/td><td>\u5165\u961f\uff08\u961f\u5c3e\uff09<\/td><td>q.push(114514)<\/td><td><\/td><\/tr><tr><td>pop<\/td><td>\u51fa\u961f\uff08\u961f\u5934\uff09<\/td><td>q.pop()<\/td><td><\/td><\/tr><tr><td>front<\/td><td>\u83b7\u53d6\u961f\u5934<\/td><td>q.front()<\/td><td><\/td><\/tr><tr><td>back<\/td><td>\u83b7\u53d6\u961f\u5c3e<\/td><td>q.back()<\/td><td><\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>queue \u6ca1\u6709\u8fed\u4ee3\u5668\uff0c\u5176\u9ed8\u8ba4\u4e0b\u662f deque \u7684\u4e00\u79cd\u5c01\u88c5\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">stack<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">stack \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td rowspan=\"2\">\u4e0e vector \u7c7b\u4f3c<\/td><td rowspan=\"5\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td><\/td><\/tr><tr><td>top<\/td><td>\u8fd4\u56de\u6808\u9876\u5143\u7d20<\/td><td>stk.top()<\/td><td><\/td><\/tr><tr><td>pop<\/td><td>\u5f39\u51fa\u6808\u9876\u5143\u7d20<\/td><td>stk.pop()<\/td><td><\/td><\/tr><tr><td>push<\/td><td>\u538b\u5165\u5143\u7d20\u5230\u6808\u9876<\/td><td>stk.push(x)<\/td><td><\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>stack \u53c8\u53eb\u6808\uff0c\u662f\u4e00\u79cd\u540e\u8fdb\u5148\u51fa\u7684\u7ed3\u6784\u3002<\/p>\n\n\n\n<p>stack \u6ca1\u6709\u8fed\u4ee3\u5668\uff0c\u5176\u9ed8\u8ba4\u4e0b\u662f deque \u7684\u4e00\u79cd\u5c01\u88c5\u3002<\/p>\n\n\n\n<p>\u51b7\u77e5\u8bc6\uff1astack \u548c queue \u5728 STL \u90fd\u89c4\u5b9a\u4e86\u4e09\u79cd\u5b9e\u73b0\u65b9\u5f0f\uff1adeque\u3001list \u548c vector\uff0c\u9ed8\u8ba4\u4e0b\u4f7f\u7528 deque\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">priority_queue<\/h2>\n\n\n\n<p>priority_queue \u4f18\u5148\u961f\u5217\u662f\u4e00\u4e2a<strong>\u5806<\/strong>\uff0c\u9ed8\u8ba4\u4e0b\u662f\u5927\u6839\u5806\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">priority_queue \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td>q.size()<\/td><td rowspan=\"3\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td>q.empty()<\/td><td><\/td><\/tr><tr><td>top<\/td><td>\u8be2\u95ee\u5806\u9876\u5143\u7d20<\/td><td>q.top()<\/td><td><\/td><\/tr><tr><td>push<\/td><td>\u628a\u5143\u7d20\u63d2\u5165\u5806<\/td><td>q.push(114514)<\/td><td rowspan=\"2\">$O(\\log n)$<\/td><td><\/td><\/tr><tr><td>pop<\/td><td>\u5220\u9664\u5806\u9876\u5143\u7d20<\/td><td>q.pop()<\/td><td><\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u91cd\u8f7d\u8fd0\u7b97\u7b26<\/h3>\n\n\n\n<p>\u5f53\u4f18\u5148\u961f\u5217\u9700\u8981\u653e\u5165\u7ed3\u6784\u4f53\u65f6\uff0c\u6211\u4eec\u9700\u8981\u91cd\u8f7d\u8fd0\u7b97\u7b26\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n\n    bool operator&lt;(const Node &amp;other)const{\n        return k&gt;other.k;\n    }\n};\n\npriority_queue&lt;Node&gt; q;<\/code><\/pre>\n\n\n\n<p>\u6ce8\u610f\u5230\uff0c\u4f18\u5148\u961f\u5217\u7684\u5927\u5c0f\u662f\u76f8\u53cd\u7684\uff0c\u5728\u4e0a\u6587\u4ee3\u7801\u4e2d\uff0c\u4ee5 $k$ \u4e3a\u5173\u952e\u5b57\u8fdb\u884c\u6392\u5e8f\u65f6\uff0c\u4f7f\u7528\u7684\u662f\u5927\u4e8e\u53f7\uff0c\u4f46\u5b9e\u9645\u4e0a\u5b9e\u73b0\u4e86\u5c0f\u6839\u5806\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">deque<\/h2>\n\n\n\n<p>deque \u53c8\u53eb\u53cc\u7aef\u961f\u5217\uff0c\u5b83\u652f\u6301\u4e24\u7aef\u63d2\u5165\u3001\u5220\u9664\uff0c\u968f\u673a\u8bbf\u95ee\uff0c\u529f\u80fd\u548c\u51fd\u6570\u90fd\u50cf\u662f vector \u548c queue \u7684\u7ed3\u5408\u7248\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">deque \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td rowspan=\"12\">\u4e0e vector \u7c7b\u4f3c<\/td><td rowspan=\"9\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td><\/td><\/tr><tr><td>push_back<\/td><td>\u672b\u5c3e\u63d2\u5165<\/td><td><\/td><\/tr><tr><td>push_front<\/td><td>\u5f00\u5934\u63d2\u5165<\/td><td><\/td><\/tr><tr><td>pop_back<\/td><td>\u5220\u9664\u672b\u5c3e<\/td><td><\/td><\/tr><tr><td>pop_front<\/td><td>\u5220\u9664\u5f00\u5934<\/td><td><\/td><\/tr><tr><td>begin<\/td><td>\u8fd4\u56de\u5f00\u5934\u8fed\u4ee3\u5668<\/td><td><\/td><\/tr><tr><td>end<\/td><td>\u8fd4\u56de\u672b\u5c3e\u8fed\u4ee3\u5668<\/td><td>\u8fd4\u56de\u672b\u5c3e\u66f4\u540e\u7684\u4e00\u4f4d\u3002<\/td><\/tr><tr><td>[]<\/td><td>\u4e0b\u6807\u8bbf\u95ee\u5143\u7d20<\/td><td>v.at(pos) \u4f5c\u7528\u76f8\u540c\u3002<\/td><\/tr><tr><td>clear<\/td><td>\u6e05\u7a7a\u5bb9\u5668<\/td><td rowspan=\"3\">$O(n)$<\/td><td>O2 \u4f18\u5316\u4e0b\u53ef\u89c6\u4e3a $O(1)$\u3002<\/td><\/tr><tr><td>insert<\/td><td>\u63d2\u5165\u5143\u7d20<\/td><td>\u5c06\u5927\u91cf\u5143\u7d20\u5411\u540e\u79fb\u52a8\u3002<\/td><\/tr><tr><td>erase<\/td><td>\u5220\u9664\u5143\u7d20<\/td><td>\u5c06\u5927\u91cf\u5143\u7d20\u5411\u524d\u79fb\u52a8\u3002<\/td><\/tr><tr><td>back<\/td><td>\u83b7\u53d6\u672b\u5c3e\u5143\u7d20<\/td><td rowspan=\"2\">\u4e0e queue \u7c7b\u4f3c<\/td><td rowspan=\"2\">$O(1)$<\/td><td><\/td><\/tr><tr><td>front<\/td><td>\u83b7\u53d6\u5f00\u5934\u5143\u7d20<\/td><td><\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">set &amp; multiset<\/h2>\n\n\n\n<p>set \u548c multiset \u53c8\u88ab\u79f0\u4e3a\u201c\u6709\u5e8f\u96c6\u5408\u201d\u548c\u201c\u6709\u5e8f\u591a\u91cd\u96c6\u5408\u201d\uff0c\u524d\u8005\u5185\u5143\u7d20\u4e0d\u53ef\u4ee5\u91cd\u590d\uff0c\u540e\u8005\u53ef\u4ee5\u3002\u5176\u5e95\u5c42\u5b9e\u73b0\u4e3a\u7ea2\u9ed1\u6811\u3002<\/p>\n\n\n\n<p>\u4e0e\u4f18\u5148\u961f\u5217\u4e00\u6837\uff0cset \u548c multiset \u50a8\u5b58\u7684\u5143\u7d20\u5fc5\u987b\u8981\u5b9a\u4e49\u5c0f\u4e8e\u8fd0\u7b97\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">set &amp; multiset \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td rowspan=\"4\">\u4e0e vector \u7c7b\u4f3c<\/td><td rowspan=\"4\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td><\/td><\/tr><tr><td>begin<\/td><td>\u8fd4\u56de\u5f00\u5934\u8fed\u4ee3\u5668<\/td><td><\/td><\/tr><tr><td>end<\/td><td>\u8fd4\u56de\u672b\u5c3e\u8fed\u4ee3\u5668<\/td><td>\u8fd4\u56de\u672b\u5c3e\u66f4\u540e\u7684\u4e00\u4f4d\u3002<\/td><\/tr><tr><td>insert<\/td><td>\u63d2\u5165\u5143\u7d20<\/td><td>s.insert(x)<\/td><td rowspan=\"4\">$O(\\log n)$<\/td><td><\/td><\/tr><tr><td>lower_bound<\/td><td>\u67e5\u627e $\\geq x$ \u7684\u6700\u5c0f\u7684\u5143\u7d20<\/td><td>s.lower_bound(x)<\/td><td><\/td><\/tr><tr><td>upper_bound<\/td><td>\u67e5\u627e $&gt; x$ \u7684\u6700\u5c0f\u7684\u5143\u7d20<\/td><td>s.upper_bound(x)<\/td><td><\/td><\/tr><tr><td>erase<\/td><td>\u5220\u9664\u5143\u7d20<\/td><td>s.erase(x)<\/td><td>multiset \u4f1a\u5220\u9664\u6240\u6709\u76f8\u540c\u5143\u7d20\u3002\u82e5\u5220\u9664\u5355\u4e2a\u53ef\u7528 s.erase(find(x))\u3002<\/td><\/tr><tr><td>count<\/td><td>\u67e5\u627e\u7b49\u4e8e $x$ \u7684\u5143\u7d20\u4e2a\u6570<\/td><td>s.count(x)<\/td><td>$O(k + \\log n)$<\/td><td><\/td><\/tr><tr><td>clear<\/td><td>\u6e05\u7a7a\u5143\u7d20<\/td><td>s.clear()<\/td><td>$O(n)$<\/td><td>\u4e25\u683c $O(n)$\u3002<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u91cd\u8f7d\u8fd0\u7b97\u7b26<\/h3>\n\n\n\n<p>\u548c\u4f18\u5148\u961f\u5217\u76f8\u540c\uff0c\u4e24\u8005\u53ef\u4ee5\u901a\u8fc7\u91cd\u8f7d\u8fd0\u7b97\u7b26\u5b9e\u73b0\u81ea\u5b9a\u4e49\u5143\u7d20\u6392\u5e8f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n\n    bool operator&lt;(const Node &amp;other)const{\n        return k&lt;other.k;\n    }\n};\n\nset&lt;Node&gt; q;<\/code><\/pre>\n\n\n\n<p>\u4e0a\u9762\u5b9e\u73b0\u4e86\u4e00\u4e2a\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\u7684 set\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8fed\u4ee3\u5668<\/h3>\n\n\n\n<p>set \u548c multiset \u7684\u8fed\u4ee3\u5668\u4ec5\u652f\u6301 <code>it++<\/code> \u548c <code>it--<\/code> \u4e24\u4e2a\u64cd\u4f5c\uff0c\u4e0d\u652f\u6301\u968f\u673a\u8bbf\u95ee\uff0c\u5355\u6b21\u590d\u6742\u5ea6 $O(\\log n)$\uff0c\u904d\u5386\u65f6\u5747\u644a\u590d\u6742\u5ea6 $O(1)$\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">map<\/h2>\n\n\n\n<p>map \u662f\u4e00\u5bf9\u6620\u5c04\uff0c\u5373 key-value\uff0c\u5176\u5e95\u5c42\u5b9e\u73b0\u4e3a\u7ea2\u9ed1\u6811\u3002<\/p>\n\n\n\n<p>\u540c\u4e0a\uff0cmap \u7684 key \u5fc5\u987b\u5b9a\u4e49\u4e86\u5c0f\u4e8e\u8fd0\u7b97\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">map \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td rowspan=\"4\">\u4e0e vector \u7c7b\u4f3c<\/td><td rowspan=\"4\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td><\/td><\/tr><tr><td>begin<\/td><td>\u8fd4\u56de\u5f00\u5934\u8fed\u4ee3\u5668<\/td><td><\/td><\/tr><tr><td>end<\/td><td>\u8fd4\u56de\u672b\u5c3e\u8fed\u4ee3\u5668<\/td><td>\u8fd4\u56de\u672b\u5c3e\u66f4\u540e\u7684\u4e00\u4f4d\u3002<\/td><\/tr><tr><td>insert<\/td><td>\u63d2\u5165\u5143\u7d20<\/td><td>s.insert(x)<\/td><td rowspan=\"6\">$O(\\log n)$<\/td><td><\/td><\/tr><tr><td>find<\/td><td>\u67e5\u627e\u5143\u7d20<\/td><td>s.find(x)<\/td><td>\u4e0d\u5b58\u5728\u8fd4\u56de s.end()\u3002<\/td><\/tr><tr><td>erase<\/td><td>\u5220\u9664\u5143\u7d20<\/td><td>s.erase(x)<\/td><td><\/td><\/tr><tr><td>lower_bound<\/td><td>\u67e5\u627e $\\geq x$ \u7684\u6700\u5c0f\u7684\u5143\u7d20<\/td><td>s.lower_bound(x)<\/td><td><\/td><\/tr><tr><td>upper_bound<\/td><td>\u67e5\u627e $&gt; x$ \u7684\u6700\u5c0f\u7684\u5143\u7d20<\/td><td>s.upper_bound(x)<\/td><td><\/td><\/tr><tr><td>[]<\/td><td>\u8bbf\u95ee key \u5bf9\u5e94 value<\/td><td>s[x]<\/td><td>$x$ \u4e0d\u5b58\u5728\u65f6\u63d2\u5165\u4e00\u4e2a\u7a7a\u503c\u3002<\/td><\/tr><tr><td>clear<\/td><td>\u6e05\u7a7a\u5bb9\u5668<\/td><td>s.clear()<\/td><td>$O(n)$<\/td><td>\u4e25\u683c $O(n)$\u3002<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>\u5728\u4f7f\u7528 <code>s[x]<\/code> \u67e5\u8be2\u524d\uff0c\u5e94\u5148\u4f7f\u7528 <code>s.find(x)<\/code> \u5224\u65ad\u8be5\u503c\u662f\u5426\u5b58\u5728\uff0c\u9632\u6b62\u63d2\u5165\u5927\u91cf\u7a7a\u503c\u62d6\u7d2f\u65f6\u7a7a\u590d\u6742\u5ea6\uff0c\u5bf9\u7a0b\u5e8f\u4f18\u5316\u6548\u679c<strong>\u6781\u5176\u663e\u8457<\/strong>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u91cd\u8f7d\u8fd0\u7b97\u7b26<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n\n    bool operator&lt;(const Node &amp;other)const{\n        return k&lt;other.k;\n    }\n};\n\nmap&lt;Node,int&gt; q;<\/code><\/pre>\n\n\n\n<p>\u4e0a\u9762\u5b9e\u73b0\u4e86\u4e00\u4e2a key \u503c\u4e3a\u7ed3\u6784\u4f53\uff0cvalue \u503c\u4e3a int\uff0c\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\u7684 map\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8fed\u4ee3\u5668<\/h3>\n\n\n\n<p>map \u548c set \u76f8\u540c\uff0c\u53ea\u652f\u6301 <code>it++<\/code> \u548c <code>it--<\/code>\uff0c\u60f3\u8981\u83b7\u53d6\u5f53\u524d\u7684 key-value \u503c\uff0c\u53ef\u4ee5\u4f7f\u7528\u6307\u9488\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u9762\u7684\u7ed3\u6784\u4f53\u4e3a\u4f8b\uff0c\u60f3\u8981\u83b7\u53d6\u7ed3\u6784\u4f53\u4e2d\u7684 $k$\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>it-&gt;first.k<\/code>\uff0c\u60f3\u8981\u83b7\u53d6 value\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>it-&gt;second<\/code>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">unordered_set &amp; unordered_map<\/h2>\n\n\n\n<p>\u4e24\u8005\u5728 set \u548c map \u7684\u57fa\u7840\u4e0a\u53d8\u6210\u4e86\u65e0\u5e8f\u5f62\u5f0f\uff0c\u5176\u5e95\u5c42\u5b9e\u73b0\u4e3a\u54c8\u5e0c\uff0c\u4e8b\u5b9e\u4e0a\uff0c\u4e0b\u9762\u4f1a\u4ecb\u7ecd\u81ea\u5b9a\u4e49\u54c8\u5e0c\u7684\u65b9\u5f0f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">unordered_set &amp; unordered_map \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td rowspan=\"4\">\u4e0e vector \u7c7b\u4f3c<\/td><td rowspan=\"7\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td><\/td><\/tr><tr><td>begin<\/td><td>\u8fd4\u56de\u5f00\u5934\u8fed\u4ee3\u5668<\/td><td><\/td><\/tr><tr><td>end<\/td><td>\u8fd4\u56de\u672b\u5c3e\u8fed\u4ee3\u5668<\/td><td>\u8fd4\u56de\u672b\u5c3e\u66f4\u540e\u7684\u4e00\u4f4d\u3002<\/td><\/tr><tr><td>insert<\/td><td>\u63d2\u5165\u5143\u7d20<\/td><td rowspan=\"4\">\u4e0e set\/map \u7c7b\u4f3c<\/td><td><\/td><\/tr><tr><td>find<\/td><td>\u67e5\u627e\u5143\u7d20<\/td><td>\u4e0d\u5b58\u5728\u8fd4\u56de s.end()\u3002<\/td><\/tr><tr><td>erase<\/td><td>\u5220\u9664\u5143\u7d20<\/td><td><\/td><\/tr><tr><td>clear<\/td><td>\u6e05\u7a7a\u5143\u7d20<\/td><td>$O(n)$<\/td><td>\u4e25\u683c $O(n)$\u3002<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>\u7531\u4e8e\u5176\u5e95\u5c42\u5b9e\u73b0\u4e3a\u54c8\u5e0c\uff0c\u53ef\u80fd\u5b58\u5728\u88ab\u5361\u7684\u60c5\u51b5\uff0c\u6700\u574f\u5355\u6b21\u6dfb\u5220\u67e5\u7684\u590d\u6742\u5ea6\u4f1a\u9000\u5316\u5230 $O(n)$\u3002\uff08\u5b9e\u9645\u4e0a CCF \u7cfb\u5217\u6bd4\u8d5b\u5361 STL \u5bb9\u5668\u7684\u6982\u7387\u4e3a $0$\u3002\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u81ea\u5b9a\u4e49\u54c8\u5e0c<\/h3>\n\n\n\n<p>\u5f53\u6211\u4eec\u81ea\u5b9a\u4e49\u4e86\u7ed3\u6784\u4f53\u7b49\u5185\u5bb9\u65f6\uff0cSTL \u5bb9\u5668\u65e0\u6cd5\u5bf9\u5176\u8fdb\u884c\u81ea\u52a8\u54c8\u5e0c\uff0c\u6b64\u65f6\u9700\u8981\u6211\u4eec\u624b\u5199\u54c8\u5e0c\u3002<\/p>\n\n\n\n<p>\u9700\u8981\u5bf9\u5185\u5bb9\u5224\u65ad\u76f8\u7b49\uff0c\u6240\u4ee5\u9700\u8981\u91cd\u8f7d <code>==<\/code> \u8fd0\u7b97\u7b26\u3002<\/p>\n\n\n\n<p>\u9700\u8981\u201c\u5b9a\u4f4d\u6876\u201d\uff0c\u6240\u4ee5\u9700\u8981\u63d0\u4f9b\u54c8\u5e0c\u51fd\u6570\u3002<\/p>\n\n\n\n<p>\u4f8b\u5982\u6211\u4eec\u62e5\u6709\u4e00\u4e2a\u7ed3\u6784\u4f53\uff0c\u60f3\u8981\u5176\u4e2d\u7684 $x$ \u548c $y$ \u53c2\u4e0e\u54c8\u5e0c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n};<\/code><\/pre>\n\n\n\n<p>\u91cd\u8f7d <code>==<\/code> \u8fd0\u7b97\u7b26\u53ea\u9700\u8981\u5224\u5b9a\u6240\u6709\u53c2\u4e0e\u54c8\u5e0c\u7684\u503c\u76f8\u7b49\u5373\u53ef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n\n    bool operator==(const Node &amp;other)const{\n        return x==other.x &amp;&amp; y==other.y;\n    }\n};<\/code><\/pre>\n\n\n\n<p>\u800c\u54c8\u5e0c\u51fd\u6570\uff0c\u53ea\u9700\u8981\u5c06\u6bcf\u4e2a\u503c\u5206\u522b\u4e58\u4e00\u4e2a\u65e0\u7b26\u53f7\u5927\u8d28\u6570\u540e\u5f02\u6216\u8d77\u6765\u5373\u53ef\uff0c\u81ea\u5df1\u80cc\u51e0\u4e2a\u5927\u8d28\u6570\u5e76\u4e0d\u56f0\u96be\u3002<\/p>\n\n\n\n<p>\u6ce8\u610f\uff0c\u54c8\u5e0c\u51fd\u6570\u7684\u8fd4\u56de\u503c\u5e94\u8be5\u4e3a size_t \u7c7b\u578b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n\n    bool operator==(const Node &amp;other)const{\n        return x==other.x &amp;&amp; y==other.y;\n    }\n};\nstruct Hash{\n    size_t operator()(const Node &amp;a)const{\n        return ((size_t)a.x*1145141u) ^ ((size_t)a.y * 1315423911u);\n    }\n};\nunordered_set&lt;Node,Hash&gt; s;<\/code><\/pre>\n\n\n\n<p>\u4ee5\u4e0a\u5b9e\u73b0\u4e86\u4e00\u4e2a\u4ee5 $x$ \u548c $y$ \u4e3a\u54c8\u5e0c\u5185\u5bb9\u7684 unordered_set\u3002<\/p>\n\n\n\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u5c06\u54c8\u5e0c\u51fd\u6570\u653e\u5230 Node \u5185\u90e8\uff0c\u6574\u7406\u6210\u4ee5\u4e0b\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct Node{\n    int x,y,k;\n\n    bool operator==(const Node &amp;other)const{\n        return x==other.x &amp;&amp; y==other.y;\n    }\n\n    size_t operator()(const Node &amp;a)const{\n        return ((size_t)a.x*1145141u) ^ ((size_t)a.y * 1315423911u);\n    }\n};\nunordered_set&lt;Node,Node&gt; s;<\/code><\/pre>\n\n\n\n<p>\u4e5f\u662f\u53ef\u4ee5\u901a\u8fc7\u7f16\u8bd1\u4e14\u6548\u679c\u76f8\u540c\u7684\u3002<\/p>\n\n\n\n<p>\u5728\u80fd\u591f\u81ea\u52a8\u54c8\u5e0c\u7684\u60c5\u51b5\u4e0b\uff0c\u8bf7\u4e0d\u8981\u624b\u5199\u54c8\u5e0c\uff0c\u6548\u7387\u8f83\u81ea\u52a8\u66f4\u4f4e\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">bitset<\/h2>\n\n\n\n<p>bitset \u5176\u5b9e\u662f\u4e00\u4e32\u4e8c\u8fdb\u5236\u6570\uff0c\u901a\u8fc7\u6309\u4f4d\u50a8\u5b58\u5c06\u81ea\u5df1\u7684\u5e38\u6570\u964d\u4f4e\u81f3 $\\dfrac{1}{w}$\uff0c\u5176\u4e2d $w$ \u4e3a\u8ba1\u7b97\u673a\u4f4d\u6570\uff0c\u9002\u5408\u7279\u6b8a\u60c5\u51b5\u4e0b\u7684\u5361\u5e38\u64cd\u4f5c\u3002<\/p>\n\n\n\n<p>\u53ef\u4ee5\u901a\u8fc7 <code>bitset&lt;114514&gt; b<\/code> \u6765\u5b9a\u4e49\u4e00\u4e2a\u957f\u5ea6\u4e3a $114514$ \u7684 bitset\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">bitset \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>[]<\/td><td>\u8bbf\u95ee\u7b2c $x$ \u4f4d<\/td><td>b[x]<\/td><td>$O(1)$<\/td><td><\/td><\/tr><tr><td>set<\/td><td>\u5168\u90e8\u7f6e $1$<\/td><td>b.set()<\/td><td rowspan=\"14\">$O(\\dfrac{n}{w})$<\/td><td rowspan=\"3\">\u6709\u53c2\u6570 $x$ \u65f6\u5bf9\u7b2c $x$ \u4f4d\u8fdb\u884c\u64cd\u4f5c\uff0c\u590d\u6742\u5ea6 $O(1)$\u3002<\/td><\/tr><tr><td>reset<\/td><td>\u5168\u90e8\u7f6e $0$<\/td><td>b.reset()<\/td><\/tr><tr><td>flip<\/td><td>\u5168\u90e8\u53d6\u53cd<\/td><td>b.flip()<\/td><\/tr><tr><td>any<\/td><td>\u662f\u5426\u6709 $1$<\/td><td>b.any()<\/td><td><\/td><\/tr><tr><td>none<\/td><td>\u662f\u5426\u5168 $0$<\/td><td>b.none()<\/td><td><\/td><\/tr><tr><td>count<\/td><td>\u7edf\u8ba1 $1$ \u7684\u6570\u91cf<\/td><td>b.count()<\/td><td><\/td><\/tr><tr><td>&amp;<\/td><td>\u6309\u4f4d\u4e0e<\/td><td>c=a&amp;b<\/td><td rowspan=\"4\">\u5bf9\u6574\u4e2a bitset \u6309\u4f4d\u64cd\u4f5c\u3002<\/td><\/tr><tr><td>|<\/td><td>\u6309\u4f4d\u6216<\/td><td>c=a|b<\/td><\/tr><tr><td>\u201c^\u201d<\/td><td>\u6309\u4f4d\u5f02\u6216<\/td><td>c=a^b<\/td><\/tr><tr><td>~<\/td><td>\u6309\u4f4d\u53d6\u53cd<\/td><td>c=~b<\/td><\/tr><tr><td>&lt;&lt;<\/td><td>\u5de6\u79fb<\/td><td>c=b&lt;&lt;2<\/td><td>\u6ea2\u51fa\u4e22\u5f03\uff0c\u4f4e\u4f4d\u8865 $0$\u3002<\/td><\/tr><tr><td>&gt;&gt;<\/td><td>\u53f3\u79fb<\/td><td>c=b&gt;&gt;2<\/td><td>\u6ea2\u51fa\u4e22\u5f03\uff0c\u9ad8\u4f4d\u8865 $0$\u3002<\/td><\/tr><tr><td>_Find_first<\/td><td>\u627e\u5230\u7b2c\u4e00\u4e2a\u4e3a $1$ \u7684\u4f4d\u7f6e<\/td><td>b._Find_first()<\/td><td rowspan=\"2\">GCC \u79c1\u8d27\u3002<\/td><\/tr><tr><td>_Find_next<\/td><td>\u627e\u5230 $pos$ \u540e\u4e0b\u4e00\u4e2a\u4e3a $1$ \u7684\u4f4d\u7f6e<\/td><td>b._Find_next(pos)<\/td><\/tr><tr><td>to_string<\/td><td>\u8f6c\u6362\u4e3a\u5b57\u7b26\u4e32<\/td><td>b.to_string()<\/td><td>$O(n)$<\/td><td><\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>\u6ce8\uff1a\u6d1b\u8c37\u7684\u8868\u683c\u5408\u5e76\u4f1a\u4f7f\u5f02\u6216\u7b26\u53f7\u6e32\u67d3\u9519\u8bef\uff0c\u6545\u52a0\u5f15\u53f7\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">string<\/h2>\n\n\n\n<p>string \u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u8bb8\u591a\u6709\u7528\u7684\u51fd\u6570\uff0c\u4e0b\u9762\u53ea\u5217\u4e3e\u975e\u5e38\u5e38\u7528\u7684\u4e00\u90e8\u5206\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">string \u65b9\u6cd5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u65b9\u6cd5<\/td><td>\u4f5c\u7528<\/td><td>\u793a\u4f8b<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>size<\/td><td>\u83b7\u53d6\u5143\u7d20\u4e2a\u6570<\/td><td rowspan=\"4\">\u4e0e vector \u7c7b\u4f3c<\/td><td rowspan=\"7\">$O(1)$<\/td><td><\/td><\/tr><tr><td>empty<\/td><td>\u5bb9\u5668\u662f\u5426\u4e3a\u7a7a<\/td><td><\/td><\/tr><tr><td>[]<\/td><td>\u4e0b\u6807\u8bbf\u95ee<\/td><td><\/td><\/tr><tr><td>clear<\/td><td>\u6e05\u7a7a string<\/td><td>\u4e25\u683c$O(1)$\u3002<\/td><\/tr><tr><td>swap<\/td><td>\u4ea4\u6362\u4e24\u4e2a\u5b57\u7b26\u4e32<\/td><td>s1.swap(s2)<\/td><td>\u5b9e\u9645\u4ea4\u6362\u5b57\u7b26\u4e32\u6307\u9488\u3002<\/td><\/tr><tr><td>back<\/td><td>\u83b7\u53d6\u672b\u5c3e\u5143\u7d20<\/td><td>\u4e0e queue \u7c7b\u4f3c<\/td><td><\/td><\/tr><tr><td>front<\/td><td>\u83b7\u53d6\u5f00\u5934\u5143\u7d20<\/td><td>^<\/td><td><\/td><\/tr><tr><td>substr<\/td><td>\u8fd4\u56de\u5b9a\u957f\u5b57\u4e32<\/td><td>s.substr(pos,len)<\/td><td rowspan=\"2\">$O(len)$<\/td><td><\/td><\/tr><tr><td>+=<\/td><td>\u672b\u5c3e\u6dfb\u52a0\u5b57\u7b26\u4e32<\/td><td>s+=str<\/td><td><\/td><\/tr><tr><td>erase<\/td><td>\u5220\u9664\u5b9a\u957f\u5b57\u4e32<\/td><td>s.erase(pos,len)<\/td><td>$O(n)$<\/td><td><\/td><\/tr><tr><td>insert<\/td><td>\u63d2\u5165\u6307\u5b9a\u5b57\u4e32<\/td><td>s.insert(pos,str)<\/td><td rowspan=\"2\">$O(n+k)$<\/td><td><\/td><\/tr><tr><td>replace<\/td><td>\u66ff\u6362\u6307\u5b9a\u5b57\u4e32<\/td><td>s.replace(pos,len,str)<\/td><td><\/td><\/tr><tr><td>find<\/td><td>\u67e5\u627e\u6307\u5b9a\u5b57\u4e32<\/td><td>s.find(\"abc\")<\/td><td>$O(nm)$<\/td><td>\u6700\u574f $O(nm)$\u3002<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">STL \u51fd\u6570\uff08\u5305\u542b GNU\uff09<\/h2>\n\n\n\n<p>\u63a5\u4e0b\u6765\u603b\u7ed3\u4e00\u90e8\u5206\u5f15\u7528 <code>bits\/stdc++.h<\/code> \u65f6\u53ef\u4ee5\u4f7f\u7528\u7684\u51fd\u6570\uff0cCCF \u7cfb\u5217\u6bd4\u8d5b\u5747\u53ef\u4f7f\u7528\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>sort(st,ed)<\/code>\uff1a\u5bf9 $[st,ed)$ \u8fdb\u884c\u6392\u5e8f\uff0c\u590d\u6742\u5ea6 $O(n \\log n)$\uff0c\u53ef\u4ee5\u901a\u8fc7\u91cd\u8f7d\u5c0f\u4e8e\u8fd0\u7b97\u7b26\u6216\u8005\u4f20\u5165\u6bd4\u8f83\u51fd\u6570\u81ea\u5b9a\u4e49\u6392\u5e8f\u65b9\u5f0f\uff08\u4ee5\u4e0b\u4e24\u79cd\u65b9\u5f0f\u6548\u679c\u76f8\u540c\uff09\uff1a <code>bool cmp(int a,int b){return a&gt;b;} sort(s+1,s+n+1,cmp);<\/code> <code>struct Node{ int a; bool operator&lt;(const Node &amp;other)const{ return a&gt;other.a; } }s[MN]; sort(s+1,s+n+1);<\/code><\/li>\n\n\n\n<li><code>lower_bound(st,ed,val)<\/code>\uff1a\u5728\u6709\u5e8f\u533a\u95f4 $[st,ed)$ \u4e2d\u67e5\u8be2\u7b2c\u4e00\u4e2a $\\geq val$ \u7684\u4f4d\u7f6e\uff0c\u5e76\u8fd4\u56de\u8fed\u4ee3\u5668\uff0c\u590d\u6742\u5ea6 $O(\\log n)$\u3002<\/li>\n\n\n\n<li><code>upper_bound(st,ed,val)<\/code>\uff1a\u540c\u4e0a\uff0c\u4e0d\u8fc7\u67e5\u8be2\u7b2c\u4e00\u4e2a $&gt; val$ \u7684\u4f4d\u7f6e\u3002<\/li>\n\n\n\n<li><code>unique(st,ed)<\/code>\uff1a\u9664\u53bb $[st,ed)$ \u7684\u76f8\u90bb\u76f8\u540c\u9879\uff0c\u4e00\u822c\u914d\u5408 <code>sort()<\/code> \u8fbe\u5230\u53bb\u91cd\u6548\u679c\uff0c\u590d\u6742\u5ea6 $O(n)$\u3002<\/li>\n\n\n\n<li><code>reverse(st,ed)<\/code>\uff1a\u7ffb\u8f6c $[st,ed)$ \u7684\u5185\u5bb9\uff0c\u590d\u6742\u5ea6 $O(n)$\u3002<\/li>\n\n\n\n<li><code>fill(st,ed,val)<\/code>\uff1a\u5c06 $[st,ed)$ \u586b\u5145\u4e3a $val$\uff0c\u590d\u6742\u5ea6 $O(n)$\u3002<\/li>\n\n\n\n<li><code>find(st,ed,val)<\/code>\uff1a\u8fd4\u56de $[st,ed)$ \u4e2d\u7b2c\u4e00\u4e2a\u7b49\u4e8e $val$ \u7684\u6307\u9488\uff0c\u590d\u6742\u5ea6 $O(n)$\u3002<\/li>\n\n\n\n<li><code>memcpy(target,original,sz)<\/code>\uff1a\u5c06\u4ee5 $original$ \u8d77\u59cb $sz$ \u5b57\u8282\u7684\u5185\u5bb9\u590d\u5236\u5230 $target$\uff0c\u590d\u6742\u5ea6 $O(sz)$\u3002<\/li>\n\n\n\n<li><code>__lg(x)<\/code>\uff1a\u8fd4\u56de $\\lfloor \\log_2x \\rfloor$\uff0c\u4e0e <code>log2(x)<\/code> \u4f5c\u7528\u76f8\u540c\uff0c\u590d\u6742\u5ea6 $O(1)$\u3002<\/li>\n\n\n\n<li><code>__gcd(x,y)<\/code>\uff1a\u8fd4\u56de $\\gcd(x,y)$\uff0c\u590d\u6742\u5ea6 $O(\\log n)$\u3002<\/li>\n\n\n\n<li><code>max(A)\/min(A)<\/code>\uff1a\u8fd4\u56de $A$ \u4e2d\u7684\u6700\u5927\u503c\uff0c$ |A| \\geq 2$\uff0c\u590d\u6742\u5ea6 $O(|A|)$\u3002\u4e0b\u9762\u7684\u4ee3\u7801\u5c31\u53ef\u4ee5\u8fd4\u56de $5$\uff1a <code>int mx=max({1,1,4,5,1,4});<\/code><\/li>\n\n\n\n<li><code>hypot(x,y)<\/code>\uff1a\u8fd4\u56de $\\sqrt{x^2+y^2}$\uff0c\u53ef\u4ee5\u7b80\u4fbf\u6c42\u51fa\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\uff0c\u590d\u6742\u5ea6 $O(1)$\uff0c\u7cbe\u5ea6\u95ee\u9898\u5bfc\u81f4\u5e38\u6570\u8f83\u5927\u3002<\/li>\n\n\n\n<li><code>abs(x)\/fabs(x)<\/code>\uff1a\u8fd4\u56de\u6574\u578b\/\u6d6e\u70b9\u578b\u7684 $|x|$\uff0c\u590d\u6742\u5ea6 $O(1)$\u3002<\/li>\n\n\n\n<li><code>floor(x)\/ceil(x)<\/code>\uff1a\u8fd4\u56de\u6d6e\u70b9\u578b\u7684 $\\lfloor x \\rfloor$ \u6216 $\\lceil x \\rceil$\uff0c\u590d\u6742\u5ea6 $O(1)$\u3002<\/li>\n\n\n\n<li><code>advance(it,num)<\/code>\uff1a\u5c06\u8fed\u4ee3\u5668 $it$ \u524d\u8fdb $num$ \u4f4d\uff0c\u590d\u6742\u5ea6\u5728\u968f\u673a\u8bbf\u95ee\u8fed\u4ee3\u5668\uff08vector \u548c deque\uff09\u65f6\u4e3a $O(1)$\uff0c\u5176\u4ed6\u8fed\u4ee3\u5668\u4e3a $O(num)$\u3002<\/li>\n\n\n\n<li><code>prev(it),next(it)<\/code>\uff1a\u8fd4\u56de\u8fed\u4ee3\u5668 $it$ \u7684\u524d\u9a71\/\u540e\u7ee7\u3002<\/li>\n\n\n\n<li><code>stoi(string)<\/code>\uff1a\u5c06 <code>string<\/code> \u8f6c\u5316\u4e3a\u6574\u6570\u3002<\/li>\n\n\n\n<li><code>__gnu_cxx::power(x,k)<\/code>\uff1a\u5728 <code>bits\/extc++.h<\/code> \u5e93\u4e2d\uff0c\u662f\u81ea\u5e26\u7684\u5feb\u901f\u5e42\uff0c\u7c7b\u4f3c <code>std::sort()<\/code>\uff0c\u53ef\u4ee5\u901a\u8fc7\u91cd\u8f7d\u4e58\u6cd5\u8fd0\u7b97\u7b26\u6216\u63d0\u4f9b\u4e58\u6cd5\u51fd\u6570\u6765\u81ea\u5b9a\u4e49\uff0c\u590d\u6742\u5ea6 $O(\\log n)$\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u65f6\u95f4\/\u968f\u673a\u5316\u51fd\u6570<\/h2>\n\n\n\n<p>\u65f6\u95f4\/\u968f\u673a\u5316\u7684\u51fd\u6570\u7bc7\u5e45\u4e0d\u5c0f\uff0c\u6545\u5355\u72ec\u603b\u7ed3\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">clock \u51fd\u6570<\/h3>\n\n\n\n<p><code>clock()<\/code> \u4f1a\u8fd4\u56de\u5f53\u524d\u7a0b\u5e8f\u8fd0\u884c\u7684\u65f6\u95f4\uff0c\u4e0d\u540c\u7cfb\u7edf\u5f97\u5230\u7684\u8fd4\u56de\u503c\u5355\u4f4d\u4e0d\u540c\uff0c\u53ef\u4ee5\u901a\u8fc7 <code>(double)clock() \/ CLOCKS_PER_SEC<\/code> \u7edf\u4e00\u4e3a\u79d2\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">time \u51fd\u6570<\/h3>\n\n\n\n<p><code>time(0)<\/code> \u4f1a\u8fd4\u56de\u4ece $1970$ \u5e74 $1$ \u6708 $1$ \u65e5\u5230\u73b0\u5728\u7684\u65f6\u95f4\uff0c\u5355\u4f4d\u4e3a\u79d2\uff0c\u6240\u4ee5\u6bcf\u79d2\u5185\u7684\u8fd4\u56de\u503c\u76f8\u540c\uff0c\u5728\u968f\u673a\u5316\u65f6\u4f7f\u7528\u5bb9\u6613\u5f71\u54cd\u590d\u6742\u5ea6\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">chrono \u7c7b<\/h3>\n\n\n\n<p>chrono \u7c7b\u5728 <code>std::chrono<\/code>\uff0c\u5e73\u65f6\u5f15\u7528\u4e86 <code>using namespace std;<\/code> \u540e\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u4f7f\u7528\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>chrono::steady_clock::now().time_since_epoch().count();<\/code><\/li>\n<\/ul>\n\n\n\n<p>\u5176\u7cbe\u5ea6\u8fbe\u5230 $10^{14}$\uff0c\u7edd\u5bf9\u591f\u7528\uff0c\u6709\u4eba\u5361\u6211\u5403\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">rand \u51fd\u6570<\/h3>\n\n\n\n<p><code>rand()<\/code> \u51fd\u6570\u5728 Windows \u4e0b\u53ea\u80fd\u751f\u6210 $[0,32767]$ \u7684\u968f\u673a\u6570\uff0c\u968f\u673a\u5316\u65f6\u4f7f\u7528\u5bb9\u6613\u5f71\u54cd\u590d\u6742\u5ea6\u3002<\/p>\n\n\n\n<p>\u9700\u8981\u4f7f\u7528 <code>srand(seed)<\/code> \u8bbe\u7f6e\u968f\u673a\u6570\u79cd\u5b50\uff0c\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528 <code>time(0)<\/code>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">mt19937<\/h3>\n\n\n\n<p><del>\u5176\u5b9e\u6211\u4eec\u673a\u623f\u559c\u6b22\u53eb\u5b83\u8305\u53f0\u4e00\u4e5d\u4e5d\u4e09\u4e03<\/del>\u3002<\/p>\n\n\n\n<p><code>mt19937<\/code> \u53ef\u4ee5\u751f\u6210 unsigned int \u7c7b\u578b\u7684\u968f\u673a\u6570\uff0c<code>mt19937_64<\/code> \u53ef\u4ee5\u751f\u6210 unsigned long long \u7c7b\u578b\u7684\u968f\u673a\u6570\u3002<\/p>\n\n\n\n<p>\u4ee5\u524d\u8005\u4e3e\u4f8b\uff0c\u53ef\u4ee5\u901a\u8fc7 <code>mt19937 name(seed)<\/code> \u8fdb\u884c\u5b9a\u4e49\uff0c\u4f7f\u7528\u65f6\u76f4\u63a5\u8c03\u7528 <code>name()<\/code>\u3002<\/p>\n\n\n\n<p>\u4e0e <code>rand()<\/code> \u76f8\u540c\uff0c\u968f\u673a\u6570\u79cd\u5b50\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528 <code>time(0)<\/code>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">uniform_int_distribution<\/h3>\n\n\n\n<p>\u76f4\u63a5\u4f7f\u7528\u968f\u673a\u6570\u5bf9\u6570\u636e\u8303\u56f4\u53d6\u6a21\u4f1a\u4f7f\u5f97\u7b54\u6848\u5206\u5e03\u4e0d\u968f\u673a\u3002<\/p>\n\n\n\n<p>\u6b64\u65f6\u53ef\u4ee5\u4f7f\u7528 <code>uniform_int_distribution&lt;int\/long long&gt;(L,R)(name)<\/code>\uff0c\u5b83\u4f1a\u8fd4\u56de\u4e00\u4e2a $[L,R]$ \u7684\u6574\u6570\uff0c\u51fd\u6570\u4e2d\u7684 $name$ \u662f <code>mt19937\/mt19937_64<\/code> \u51fd\u6570\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mt19937 wdnmd(time(0));\nint rnd=uniform_int_distribution&lt;int&gt;(1,50)(wdnmd);<\/code><\/pre>\n\n\n\n<p>\u4e0a\u9762\u8fd9\u5957\u4e1d\u6ed1\u5c0f\u8fde\u62db\u53ef\u4ee5\u4ece\u83b7\u53d6\u4e00\u4e2a $[1,50]$ \u4e2d\u7684\u968f\u673a\u503c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">uniform_real_distribution<\/h3>\n\n\n\n<p>\u8fd9\u4e2a\u51fd\u6570\u53ef\u4ee5\u751f\u6210\u4e00\u4e2a $[L,R)$ \u7684\u6d6e\u70b9\u6570\uff0c\u4f7f\u7528\u65b9\u5f0f\u540c\u4e0a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mt19937 wdnmd(time(0));\ndouble rnd=uniform_real_distribution&lt;double&gt;(1,50)(wdnmd);<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">__builtin \u51fd\u6570<\/h2>\n\n\n\n<p>__builtin \u662f GCC \u72ec\u6709\u7684\u4e00\u7cfb\u5217\u64cd\u4f5c\uff0cCCF \u7cfb\u5217\u6bd4\u8d5b\u53ef\u7528\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4f4d\u8fd0\u7b97\u76f8\u5173<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u51fd\u6570<\/td><td>\u4f5c\u7528<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>__builtin_popcount(x)<\/td><td>\u7edf\u8ba1 $1$ \u7684\u4e2a\u6570<\/td><td rowspan=\"4\">$O(1)$<\/td><td>$x$ \u53ef\u4e3a $0$\u3002<\/td><\/tr><tr><td>__builtin_ctz(x)<\/td><td>\u7edf\u8ba1\u672b\u5c3e\u8fde\u7eed $0$ \u7684\u4e2a\u6570<\/td><td rowspan=\"2\">$x$ \u4e0d\u53ef\u4e3a $0$\u3002<\/td><\/tr><tr><td>__builtin_clz(x)<\/td><td>\u7edf\u8ba1\u524d\u5bfc\u8fde\u7eed $0$ \u7684\u4e2a\u6570<\/td><\/tr><tr><td>__builtin_ffs(x)<\/td><td>\u8fd4\u56de\u6700\u4f4e\u4f4d $1$ \u7684\u4f4d\u7f6e<\/td><td>1-index\uff0c$x=0$ \u65f6\u8fd4\u56de $0$\u3002<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<p>\u4ee5\u4e0a\u51fd\u6570\u7ed3\u5c3e\u52a0 ll \u5747\u6709 long long \u7248\u672c\uff0c\u5982 <code>__builtin_popcountll(x)<\/code>\u3002<\/p>\n\n\n\n<p><code>__builtin_clz(x)<\/code> \u53ef\u4ee5\u7528\u6765\u6c42 $\\log_2x$\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b89\u5168\u68c0\u67e5<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u51fd\u6570<\/td><td>\u4f5c\u7528<\/td><td>\u65f6\u95f4\u590d\u6742\u5ea6<\/td><td>\u6ce8\u610f\u70b9<\/td><\/tr><tr><td>__builtin_add_overflow(a,b,&amp;res)<\/td><td>\u68c0\u6d4b\u52a0\u6cd5\u6ea2\u51fa<\/td><td rowspan=\"3\">$O(1)$<\/td><td rowspan=\"3\">$res$ \u5b58\u653e\u7ed3\u679c\u3002<\/td><\/tr><tr><td>__builtin_sub_overflow(a,b,&amp;res)<\/td><td>\u68c0\u6d4b\u51cf\u6cd5\u6ea2\u51fa<\/td><\/tr><tr><td>__builtin_mul_overflow(a,b,&amp;res)<\/td><td>\u68c0\u6d4b\u4e58\u6cd5\u6ea2\u51fa<\/td><\/tr><\/tbody><\/table><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">inline \u5173\u952e\u5b57<\/h2>\n\n\n\n<p>inline \u5173\u952e\u5b57\u4f1a\u5efa\u8bae\u7f16\u8bd1\u5668\u5bf9\u51fd\u6570\u8fdb\u884c<a href=\"https:\/\/baike.baidu.com\/item\/%E5%86%85%E8%81%94%E5%87%BD%E6%95%B0\/9567625\">\u5185\u8054\u5c55\u5f00<\/a>\u3002<\/p>\n\n\n\n<p>\u5185\u8054\u5c55\u5f00\u53ef\u4ee5\u4ea7\u751f\u4e24\u79cd\u4f5c\u7528\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7701\u53bb\u51fd\u6570\u8c03\u7528\u5f00\u9500\u3002\n<ul class=\"wp-block-list\">\n<li>\u4e0d\u9700\u8981\u538b\u6808\u3001\u8df3\u8f6c\u3001\u8fd4\u56de\u7b49\u64cd\u4f5c\uff0c\u53ef\u4ee5\u5c0f\u5e45\u5ea6\u964d\u4f4e\u5e38\u6570\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u53ef\u80fd\u4f7f\u7f16\u8bd1\u5668\u8fdb\u884c\u66f4\u591a\u4f18\u5316\u3002\n<ul class=\"wp-block-list\">\n<li>\u5e38\u91cf\u6298\u53e0\u3001\u5faa\u73af\u5c55\u5f00\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u7f16\u8bd1\u5668\u4f1a\u81ea\u52a8\u5224\u65ad\u548c\u5b8c\u6210\u5185\u8054\u5c55\u5f00\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">inline \u80fd\u7528\u4e48<\/h3>\n\n\n\n<p>\u4e8b\u5b9e\u4e0a\uff0cinline \u7684\u4f5c\u7528\u4ec5\u4ec5\u662f\u201c\u5efa\u8bae\u201d\uff0c\u7f16\u8bd1\u5668\u53ef\u4ee5\u62d2\u7edd\u4f60\u7684\u5efa\u8bae\uff0c\u5c24\u5176\u5728\u4f7f\u7528 O2 \u4ee5\u4e0a\u4f18\u5316\u65f6\u57fa\u672c\u6ca1\u6709\u6548\u679c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u600e\u4e48\u8ba9\u7f16\u8bd1\u5668\u66f4\u542c\u8bdd<\/h3>\n\n\n\n<p>\u4ee5 GCC \u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>inline __attribute__((always_inline))<\/code>\uff1a\u8981\u6c42\u7f16\u8bd1\u5668\u8fdb\u884c\u5185\u8054\u3002\u5728\u9012\u5f52\u7b49\u7279\u6b8a\u51fd\u6570\u65f6\u4ecd\u53ef\u80fd\u88ab\u62d2\u7edd\u3002<\/li>\n\n\n\n<li><code>__attribute__((noinline))<\/code>\uff1a\u8981\u6c42\u7f16\u8bd1\u5668\u4e0d\u8fdb\u884c\u5185\u8054\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u7531\u4e8e CCF \u4f7f\u7528\u7684 GCC \u7248\u672c\u8fc7\u4e8e\u8001\u65e7\uff0c\u4f60\u53ef\u80fd\u4f1a\u78b0\u5230<a href=\"https:\/\/www.luogu.com.cn\/article\/q2usylhj\">\u8fd9\u79cd\u60c5\u51b5<\/a>\uff0c\u89e6\u53d1\u6761\u4ef6\u6bd4\u8f83\u8be1\u5f02\uff0c\u6bd4\u8f83\u5403\u8fd0\u6c14\uff0c\u795d\u5927\u5bb6\u4e0d\u78b0\u5230\u8fd9\u79cd\u4e8b\u60c5\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5e38\u89c1\u7684\u5361\u5e38\u64cd\u4f5c<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5173\u95ed\u540c\u6b65\u6d41\uff1a\u5173\u95ed\u540c\u6b65\u6d41\u53ef\u4ee5\u6781\u5927\u964d\u4f4e <code>cin<\/code> \u4e0e <code>cout<\/code> \u7684\u5e38\u6570\uff1a <code>ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);<\/code><\/li>\n\n\n\n<li>\u4f7f\u7528 <code>\\n<\/code> \u6362\u884c\uff1a\u5c06 <code>endl<\/code> \u66ff\u6362\u4e3a <code>\\n<\/code>\uff0c\u53ef\u4ee5\u6781\u5927\u964d\u4f4e <code>cout<\/code> \u7684\u5e38\u6570\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6811\u4e4b\u7c7b\u7684\u7a00\u758f\u56fe\uff0c\u4f7f\u7528\u94fe\u5f0f\u524d\u5411\u661f\u800c\u4e0d\u662f vector \u5b58\u56fe\u3002<\/li>\n\n\n\n<li>\u4f7f\u7528\u5feb\u8bfb\u5feb\u5199\u3002<\/li>\n\n\n\n<li>\u5728\u5feb\u8bfb\u5feb\u5199\u7684\u57fa\u7840\u4e0a\uff0c\u5c06 <code>getchar()<\/code> \u548c <code>putchar()<\/code> \u6539\u4e3a <code>getchar_unlocked()<\/code> \u548c <code>putchar_unlocked()<\/code>\uff0c\u7ea6\u6709 $0.5$ \u500d\u7684\u6027\u80fd\u63d0\u5347\uff0cWindows \u4e0b\u65e0\u6cd5\u4f7f\u7528\u3002<\/li>\n\n\n\n<li>\u5728 Windows \u4e0b\u53ef\u4ee5\u4f7f\u7528 <code>_getchar_nolock()<\/code> \u4e0e <code>_putchar_nolock()<\/code>\u3002<\/li>\n\n\n\n<li>\u5728\u5e38\u91cf\u53d6\u6a21\u65f6\uff0c\u4f7f\u7528 unsigned long long \u4ee3\u66ff long long \u4f1a\u6709\u7ea6 $1$ \u500d\u7684\u6027\u80fd\u63d0\u5347\u3002<\/li>\n\n\n\n<li>\u9009\u7528\u5e38\u6570\u66f4\u5c0f\/\u590d\u6742\u5ea6\u66f4\u4f4e\u7684\u5904\u7406\u65b9\u5f0f\uff0c\u4f8b\u5982\u5c06\u7ebf\u6bb5\u6811\u6539\u6210\u6811\u72b6\u6570\u7ec4\uff0c\u9012\u5f52\u5f0f\u7ebf\u6bb5\u6811\u6539\u4e3a\u975e\u9012\u5f52\u5f0f\u7ebf\u6bb5\u6811\uff0c\u6b27\u62c9\u5e8f LCA \u6539\u4e3a DFS \u5e8f LCA\uff0cmap \u6539\u4e3a unordered_map \u7b49\u3002<\/li>\n\n\n\n<li>pb_ds \u5e93\u7684\u54c8\u5e0c\u8868\u5bf9\u6bd4 unordered_map \u5e38\u6570\u4e0a\u6709\u63d0\u5347\uff0c\u53ef\u81ea\u884c\u67e5\u9605\u76f8\u5173\u6587\u7ae0\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u5e38\u89c1\u7684\u5176\u4ed6\u64cd\u4f5c<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>linux \u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>time .\/file_name<\/code> \u67e5\u770b\u7a0b\u5e8f\u8fd0\u884c\u65f6\u95f4\u3002<\/li>\n\n\n\n<li>linux \u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>size .\/file_name<\/code> \u67e5\u770b\u7a0b\u5e8f\u5360\u7528\u5185\u5b58\u3002<\/li>\n\n\n\n<li>linux \u4e0b\uff0c\u6ca1\u6709\u4f7f\u7528\u6587\u4ef6\u8bfb\u5199\u65f6\uff0c\u53ef\u4ee5\u5728\u547d\u4ee4\u540e\u52a0\u4e0a <code>&lt;input_file_name<\/code> \u548c <code>&gt;output_file_name<\/code> \u5b9e\u73b0\u81ea\u5b9a\u4e49\u6587\u4ef6\u8f93\u5165\u8f93\u51fa\uff0c\u4f8b\u5982\u4e0b\u9762\u5c31\u662f\u4e00\u4e2a\u8bfb\u5165 <code>game.in<\/code>\uff0c\u8f93\u51fa\u5230 <code>game.out<\/code> \u7684\uff0c\u663e\u793a\u7a0b\u5e8f <code>game<\/code> \u8fd0\u884c\u65f6\u95f4\u7684\u547d\u4ee4\uff1a <code>time .\/game &lt;game.in &gt;game.out<\/code><\/li>\n\n\n\n<li>linux \u4e0b\uff0cccf \u7684\u6807\u51c6\u7f16\u8bd1\u6307\u4ee4\u4e3a\uff1a<code>g++ file_name.cpp -o file_name -std=c++14 -O2 -static<\/code>\u3002<\/li>\n\n\n\n<li>\u7ed3\u5c3e\u6dfb\u52a0\u4ee5\u4e0b\u53c2\u6570\u53ef\u4ee5\u907f\u514d\u5f88\u591a\u95ee\u9898\uff1a<code>-fsanitize=address,undefined -Wall -Wextra -Wshadow<\/code>\u3002<\/li>\n\n\n\n<li>linux \u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u53d6\u6d88\u6808\u7a7a\u95f4\u9650\u5236\uff1a<code>ulimit -s unlimited<\/code>\u3002\u5982\u679c\u4f60\u60f3\u8981\u6307\u5b9a\u6808\u7a7a\u95f4\u5927\u5c0f\uff0c\u53ef\u4ee5\u4f7f\u7528\uff1a<code>ulimit -s sz<\/code>\uff0c\u5176\u4e2d $sz$ \u5355\u4f4d\u4e3a KB\u3002<\/li>\n\n\n\n<li>linux \u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>diff<\/code> \u547d\u4ee4\u6bd4\u8f83\u6587\u4ef6\u5dee\u5f02\uff08<code>-Bb<\/code> \u53ef\u4ee5\u5ffd\u7565\u884c\u672b\u7a7a\u683c\u4e0e\u56de\u8f66\uff09\uff1bWindows \u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>fc<\/code> \u547d\u4ee4\u6bd4\u8f83\u6587\u4ef6\u5dee\u5f02\u3002<\/li>\n\n\n\n<li>\u62d2\u7edd<strong>\u5728\u4efb\u4f55\u60c5\u51b5\u4e0b<\/strong>\u4f7f\u7528 <code>vector&lt;bool&gt;<\/code>\uff0c\u53f2\u5c71\u5b9e\u73b0\uff0c<strong>\u6781\u6613<\/strong>\u51fa\u9519\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u7279\u522b\u9e23\u8c22<\/h2>\n\n\n\n<p>\u611f\u8c22 @<a href=\"https:\/\/www.luogu.com.cn\/user\/306045\">K8He<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/1038651\">llamn<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/446979\">masonxiong<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/341801\">W_SUN<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/498837\">Laoshan_PLUS<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/40607\">CommonAnts<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/1205074\">Kaf_yoU<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/407214\">DaydreamWarrior<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/678028\">Water_Flower<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/1125291\">ZMQ_Ink6556<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/952802\">Lilingfeng<\/a>\uff0c@<a href=\"https:\/\/www.luogu.com.cn\/user\/441247\">Halberd_Cease<\/a> \u5bf9\u672c\u6587\u7684\u5efa\u8bae\u548c\u7ea0\u9519\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4fee\u6539\u8bb0\u5f55<\/h2>\n\n\n\n<p>$2025$ \u5e74 $11$ \u6708 $22$ \u65e5\uff1a\u6539\u6b63 bitset \u76f8\u5173\u590d\u6742\u5ea6\uff0c\u4fee\u6539\u9519\u522b\u5b57\uff0c\u66f4\u6539\u591a\u5904\u4e0d\u4e25\u8c28\u7684\u8bed\u6cd5\u3002<\/p>\n\n\n\n<p>$2025$ \u5e74 $11$ \u6708 $24$ \u65e5\uff1a\u6539\u8fdb vector \u76f8\u5173\u5185\u5bb9\uff0c\u6dfb\u52a0 inline \u4ecb\u7ecd\uff0c\u4fee\u6539\u9519\u8bef\uff0c\u6dfb\u52a0 __builtin \u5c11\u91cf\u51fd\u6570\u3002<\/p>\n\n\n\n<p>$2025$ \u5e74 $11$ \u6708 $24$ \u65e5\uff1a\u518d\u6b21\u4fee\u6539\u4ea4\u5ba1\uff0c\u6dfb\u52a0 bitset \u76f8\u5173\u5185\u5bb9\uff0c\u4fee\u6539\u9519\u8bef\uff0c\u6dfb\u52a0\u51fd\u6570\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u5bf9 STL \u548c\u90e8\u5206\u51fd\u6570\u76f8\u5173\u7684\u77e5\u8bc6\u8fdb\u884c\u4e86\u603b\u7ed3\u548c\u68b3\u7406\uff0c\u4f5c\u4e3a\u4e00\u7bc7\u5728\u8d5b\u524d\u5b8c\u6210\u7684\u6587\u7ae0\uff0c\u5e0c\u671b\u5b83\u5bf9\u4f60\u7684 NOIP \u6709\u6240\u5e2e\u52a9\u3002 \u53ef\u4ee5\u901a\u8fc7\u6b64\u6587\u8fdb\u884c\u67e5\u6f0f\u8865\u7f3a\uff0c\u53ef\u80fd\u4e00\u4e2a\u751c\u751c\u7684\u8bed\u6cd5\u7cd6\u6216\u8005\u53d1\u73b0\u4e86\u81ea\u5df1\u8bb0\u9519\u7684\u590d\u6742\u5ea6\u5c31\u80fd\u5728\u8003\u573a\u4e0a\u62ef\u6551\u81ea\u5df1\u3002 \u672c\u6587\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e STL \u5bb9\u5668\u3001STL \u51fd\u6570\u4ee5\u53ca\u8bb8\u591a\u5c11\u89c1\u51fd\u6570\u3002 \u5168\u6587\u5b8c\u5168\u624b\u6253\uff0c\u65e0\u4efb\u4f55 AI \u751f\u6210\u5185\u5bb9\u3002\u622a\u81f3\u672c\u6587\u5b8c\u7ed3\uff0c\u6d1b\u8c37\u4e0a\u5e94\u8be5\u6ca1\u6709\u6bd4\u672c\u7bc7\u6587\u7ae0\u66f4\u5168\u7684\u603b\u7ed3\u3002 \u6b22\u8fce\u5927\u5bb6\u5728\u8bc4\u8bba\u533a\u5bf9\u672c\u6587\u63d0\u51fa\u610f\u89c1\uff01  [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":27,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"class_list":["post-25","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/posts\/25","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/comments?post=25"}],"version-history":[{"count":0,"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/posts\/25\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/media\/27"}],"wp:attachment":[{"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/media?parent=25"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/categories?post=25"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/luogu.pro\/index.php\/wp-json\/wp\/v2\/tags?post=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}