{"id":135,"date":"2025-03-23T14:57:04","date_gmt":"2025-03-23T06:57:04","guid":{"rendered":"http:\/\/m.qzcy2.top\/?p=135"},"modified":"2025-03-24T14:38:43","modified_gmt":"2025-03-24T06:38:43","slug":"%e7%ac%ac27%e5%9c%ba%e8%93%9d%e6%a1%a5%e6%9c%88%e8%b5%9b","status":"publish","type":"post","link":"https:\/\/m.qzcy2.top\/index.php\/2025\/03\/23\/%e7%ac%ac27%e5%9c%ba%e8%93%9d%e6%a1%a5%e6%9c%88%e8%b5%9b\/","title":{"rendered":"\u7b2c27\u573a\u84dd\u6865\u6708\u8d5b"},"content":{"rendered":"<h1>\u8bf4\u660e<\/h1>\n<p>\u6b64\u6587\u4ec5\u4e3a\u4f5c\u8005\u4e2a\u4eba\u89c1\u89e3\u3002\u539f\u9898\u94fe\u63a5\uff1a<a href=\"https:\/\/www.lanqiao.cn\/oj-contest\/senior-27\/\" target=\"_blank\"  rel=\"nofollow\" >https:\/\/www.lanqiao.cn\/oj-contest\/senior-27\/<\/a><\/p>\n<h2>\u603b\u7ed3<\/h2>\n<ul>\n<li>\u603b\u7684\u6765\u8bf4\u96be\u5ea6\u4e0d\u662f\u5f88\u5927\uff0c\u4e3b\u8981\u8003\u4f18\u5316\u601d\u7ef4\uff0c\u5927\u591a\u6570\u90fd\u7528\u5230\u4e86\u4e8c\u5206\uff0c\u7b2c\u4e94\u9898\u6211\u60f3\u4e86\u5f88\u4e45\u7684dp\u4f46\u662f1e5\u7684\u6570\u636e\u4e0d\u77e5\u9053\u600e\u4e48\u5199\u4e86\u3002\u4e8c\u5206\u4f7f\u7528\u7684\u9891\u7387\u5f88\u9ad8\u3002<\/li>\n<\/ul>\n<h2>\u4e8c\u5206\u51fd\u6570<\/h2>\n<p><span style=\"color: #008000;\">cpp\u4e2d\u81eaalgorithm\u81ea\u5e26\u7684\u4e8c\u5206\u51fd\u6570\uff1aupper_bound &amp; lower_bound\u00a0<\/span><\/p>\n<ul>\n<li>upper_bound \u8fd4\u56de\u7b2c\u4e00\u4e2a\u5927\u4e8e\u6216\u7b49\u4e8e\u76ee\u6807\u503c\u7684\u5143\u7d20 \u5982\u679c\u6240\u6709\u5143\u7d20\u90fd\u5c0f\u4e8e\u76ee\u6807\u503c\u5219\u8fd4\u56delast\u3002<\/li>\n<li>lower_bound\u00a0 \u8fd4\u56de\u7b2c\u4e00\u4e2a\u5927\u4e8e\u76ee\u6807\u503c\u7684\u5143\u7d20 \u5982\u679c\u6240\u6709\u5143\u7d20\u90fd\u5c0f\u4e8e\u6216\u7b49\u4e8e\u76ee\u6807\u503c\u5219\u8fd4\u56delast\u3002<\/li>\n<\/ul>\n<p>\u8be6\u7ec6\u89e3\u91ca<a href=\"https:\/\/blog.csdn.net\/weixin_45031801\/article\/details\/137544229\" target=\"_blank\"  rel=\"nofollow\" >https:\/\/blog.csdn.net\/weixin_45031801\/article\/details\/137544229<\/a><\/p>\n<h1>1.\u6293\u732a\u62ff\u56fd\u4e00<\/h1>\n<h2>\u9898\u76ee\u63cf\u8ff0<\/h2>\n<ul>\n<li>\u84dd\u6865\u676f\u8d5b\u573a\u4e0a\uff0c\u9009\u624b\u5c0f\u738b\u8111\u6d1e\u5927\u5f00\uff0c\u8dd1\u53bb\u95ee\u88c1\u5224\uff1a\u201c\u88c1\u5224\uff0c\u84dd\u6865\u676f\u8981\u662f\u6539\u6210\u2018\u84dd\u6865\u6293\u732a\u5927\u8d5b\u2019\uff0c\u5f97\u6293\u591a\u5c11\u5934\u732a\u624d\u80fd\u62ff\u56fd\u4e00\u554a\uff1f\u201d\u88c1\u5224\u6123\u4e86\u6123\uff0c\u4f46\u4e3a\u4e86\u663e\u6446\u5e7d\u9ed8\uff0c\u6de1\u5b9a\u7b54\u9053\uff1a\u201c\u597d\u8bf4\uff01\u60f3\u62ff\u56fd\u4e00\uff0c\u4ece\u7b2c\u4e00\u5c4a\u5f00\u59cb\uff0c\u6bcf\u5c4a\u6293\u7684\u732a\u6570\u5f97\u662f\u8fd9\u4e00\u5c4a\u7684\u5c4a\u6570\u52a0\u4e0a\u524d\u9762\u6240\u6709\u5c4a\u6570\u7684\u603b\u548c\u3002\u6bd4\u5982\uff0c\u7b2c\u4e00\u5c4a\u6293\u00a0<span class=\"katex\"><span class=\"katex-mathml\">1<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><\/span><\/span><\/span>\u00a0\u5934\uff0c\u7b2c\u4e8c\u5c4a\u6293\u00a0<span class=\"katex\"><span class=\"katex-mathml\">1+2=3<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><\/span><\/span><\/span>\u00a0\u5934\uff0c\u7b2c\u4e09\u5c4a\u6293\u00a0<span class=\"katex\"><span class=\"katex-mathml\">1+2+3=6<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">6<\/span><\/span><\/span><\/span>\u00a0\u5934\u00a0<span class=\"katex\"><span class=\"katex-mathml\">\u2026<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"minner\">\u2026<\/span><\/span><\/span><\/span>\u00a0\u4eca\u5e74\u662f\u7b2c\u5341\u516d\u5c4a\u84dd\u6865\u676f\uff0c\u4f60\u81ea\u5df1\u7b97\u7b97\u5427\uff01\u201d\u73b0\u5728\uff0c\u8bf7\u4f60\u5e2e\u5c0f\u738b\u7b97\u7b97\uff0c\u8981\u62ff\u56fd\u4e00\uff0c\u603b\u5171\u5f97\u6293\u591a\u5c11\u5934\u732a\uff1f<\/li>\n<\/ul>\n<h2>\u601d\u8def<\/h2>\n<ul>\n<li><span style=\"color: #008000;\">\u8bed\u6cd5\u9898\uff0c\u5386\u904d1\u523016\u6bcf\u6b21\u52a0\u4e0a\u672c\u8eab\u5373\u53ef\u3002<span style=\"color: #0000ff;\">\u65f6\u95f4\u590d\u6742O(n)<\/span><\/span><\/li>\n<\/ul>\n<h2>\u4ee3\u7801<\/h2>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">void solve()\r\n{\r\n    int ans = 0;\r\n    for (int i = 1 ; i &lt;= 16 ; i ++ ) ans += i;\r\n    cout &lt;&lt; ans &lt;&lt; endl;\r\n}<\/pre>\n<h1>2.\u84dd\u6865\u5b57\u7b26<\/h1>\n<h2>\u9898\u76ee\u63cf\u8ff0<\/h2>\n<ul>\n<li>\u7ed9\u4e00\u4e2a\u5b57\u7b26\u4e32S\uff0c\u627e\u5230\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">S<\/span><\/span><\/span><\/span>\u4e2d\u5b50\u5e8f\u5217\u00a0<code>lan<\/code>\u00a0\u7684\u51fa\u73b0\u6b21\u6570\u3002\u8fd9\u91cc\u7684\u5b50\u5e8f\u5217\u662f\u6307\u4ece\u5b57\u7b26\u4e32\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">S<\/span><\/span><\/span><\/span>\u00a0\u4e2d\u6309\u987a\u5e8f\u9009\u53d6\u5b57\u7b26\uff08\u4e0d\u4e00\u5b9a\u8fde\u7eed\uff09\u7ec4\u6210\u7684\u65b0\u5b57\u7b26\u4e32\u3002<\/li>\n<\/ul>\n<h2>\u601d\u8def<\/h2>\n<ul>\n<li><span style=\"color: #008000;\">\u52a8\u6001\u89c4\u5212\uff0cf[1],f[2],f[3]\u5206\u522b\u4ee3\u8868'l','a','n'\u51fa\u73b0\u7684\u4e2a\u6570\uff0c\u4ece\u5934\u5230\u5c3e\u5386\u904d\uff0c\u8ba1\u7b97lan\u7684\u4e2a\u6570 f[3]\u5373\u4e3alan\u7684\u4e2a\u6570 <span style=\"color: #000080;\">\u65f6\u95f4\u590d\u6742\u5ea6O(n)<\/span><\/span><\/li>\n<\/ul>\n<h2>\u4ee3\u7801<\/h2>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">void solve()\r\n{\r\n    string s;\r\n    cin &gt;&gt; s;\r\n    int n = s.size();\r\n    s = \" \" + s;\r\n\r\n    vector&lt;int&gt; f(4 , 0);\r\n    \r\n    for (int i = 1 ; i &lt;= n ; i ++ )\r\n    {\r\n      if (s[i] == 'l') f[1] ++;\r\n      else if (s[i] == 'a') f[2] += f[1];\r\n      else if (s[i] == 'n') f[3] += f[2];\r\n    }\r\n\r\n    cout &lt;&lt; f[3] &lt;&lt; endl;\r\n}<\/pre>\n<h1>3.\u84dd\u6865\u5927\u53f2<\/h1>\n<h2>\u9898\u76ee\u63cf\u8ff0<\/h2>\n<ul>\n<li>\u5b66\u6821\u5171\u6709n\u4e2a\u73ed\u7ea7\uff0c\u6bcf\u4e2a\u73ed\u7ea7\u90fd\u9700\u8981\u8fdb\u884c\u5ba3\u4f20\u3002\u5c0f\u84dd\u548c\u5c0f\u6865\u53ef\u4ee5\u9009\u62e9\u53bb\u4e0d\u540c\u7684\u73ed\u7ea7\u5ba3\u4f20\uff0c\u4f46\u4e3a\u4e86\u516c\u5e73\u8d77\u89c1\uff0c\u4ed6\u4eec\u51b3\u5b9a\u5c3d\u91cf\u5e73\u5747\u5206\u914d\u4efb\u52a1\u3002\u5177\u4f53\u6765\u8bf4\uff1a<br \/>\n\u5c0f\u84dd\u5c06\u53bb\u230an\/2\u230b\u4e2a\u73ed\u7ea7\u5ba3\u4f20\u3002<br \/>\n\u5c0f\u6865\u5c06\u53bb\u5269\u4e0b\u7684n\u2212\u230an\/2\u230b\u4e2a\u73ed\u7ea7\u5ba3\u4f20\u3002<br \/>\n\u5bf9\u4e8e\u7b2ci\u4e2a\u73ed\u7ea7\uff1a<br \/>\n\u5982\u679c\u5c0f\u84dd\u53bb\u5ba3\u4f20\uff0c\u4ed6\u5c06\u83b7\u5f97A_i\u5143\u7684\u916c\u52b3\u3002<br \/>\n\u5982\u679c\u5c0f\u6865\u53bb\u5ba3\u4f20\uff0c\u5979\u5c06\u83b7\u5f97B_i\u5143\u7684\u916c\u52b3\u3002<br \/>\n\u5c0f\u84dd\u548c\u5c0f\u6865\u5e0c\u671b\u6700\u5927\u5316\u4ed6\u4eec\u603b\u5171\u83b7\u5f97\u7684\u916c\u52b3\uff0c\u8bf7\u4f60\u5e2e\u4ed6\u4eec\u8ba1\u7b97\u603b\u916c\u52b3\u6700\u5927\u503c\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<h2>\u601d\u8def<\/h2>\n<ul>\n<li><span style=\"color: #008000;\">\u8d2a\u5fc3\uff0c\u81ea\u5b9a\u4e49\u5c0f\u84dd\u548c\u5c0f\u6865\u7684\u916c\u52b3\u5dee\u503c\u964d\u5e8f\u6392\u5e8f\uff0c\u524dn\/2\u8ba9\u5c0f\u84dd\u5ba3\u4f20\u540en\/2\u8ba9\u5c0f\u6865\u53bb\u3002<span style=\"color: #000080;\">\u65f6\u95f4\u590d\u6742\u5ea6O(nlogn)<\/span><\/span><\/li>\n<\/ul>\n<h2>\u4ee3\u7801<\/h2>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">bool cmp(PII a , PII b)\r\n{\r\n    return a.first - a.second &gt; b.first - b.second;\r\n}\r\n\r\nvoid solve()\r\n{\r\n    int n;\r\n    cin &gt;&gt; n;\r\n    vector&lt;PII&gt; a(n + 1);\r\n    for (int i = 1 ; i &lt;= n ; i ++ )\r\n        cin &gt;&gt; a[i].first &gt;&gt; a[i].second;\r\n    \r\n    vector&lt;bool&gt; flag(n + 1);\r\n\r\n    sort(all(a) , cmp);\r\n\r\n    int ans = 0;\r\n    for (int i = 1 ; i &lt;= n \/ 2 ; i ++ ) ans += a[i].first;\r\n    for (int i = n \/ 2 + 1 ; i &lt;= n ; i ++ ) ans += a[i].second;\r\n\r\n    cout &lt;&lt; ans &lt;&lt; endl;\r\n\r\n}<\/pre>\n<h1>4.\u62f3\u5934\u5bf9\u51b3<\/h1>\n<h2>\u9898\u76ee\u63cf\u8ff0<\/h2>\n<ul>\n<li>\u62f3\u5934\u7684\u5927\u5c0f\uff0c\u6210\u4e86\u8fd9\u573a\u53cb\u8c0a\u8d5b\u7684\u7126\u70b9\u2014\u2014\u8c01\u7684\u62f3\u5934\u5927\uff0c\u8c01\u5c31\u66f4\u6709\u6c14\u52bf\uff01\u4e24\u4f4d\u6559\u7ec3\u5404\u6311\u4e86N\u540d\u961f\u5458\uff0c\u84dd\u961f\u7684\u7b2ci\u4e2a\u961f\u5458\u7684\u62f3\u5934\u5927\u5c0f\u4e3aA_i\uff0c\u7ea2\u961f\u7684\u7b2ci\u4e2a\u961f\u5458\u7684\u62f3\u5934\u5927\u5c0f\u4e3aB_i\u3002<br \/>\n\u6bd4\u8d5b\u7684\u6d41\u7a0b\u662f\u8fd9\u6837\u7684\uff1a<br \/>\n\u7ea2\u6559\u7ec3\u4f1a\u6309\u7167\u987a\u5e8f\u4f9d\u6b21\u6d3e\u51fa\u4ed6\u7684\u961f\u5458\uff08\u5148\u6d3e\u7b2c\u4e00\u4f4d\uff0c\u7136\u540e\u7b2c\u4e8c\u4f4d\uff0c\u4ee5\u6b64\u7c7b\u63a8\uff09\u3002<br \/>\n\u6bcf\u5f53\u7ea2\u6559\u7ec3\u6d3e\u51fa\u4e00\u540d\u961f\u5458\u5c55\u793a\u62f3\u5934\u540e\uff0c\u84dd\u6559\u7ec3\u9700\u8981\u4ece\u4ed6\u5c1a\u672a\u4e0a\u573a\u7684\u961f\u5458\u4e2d\u9009\u62e9\u4e00\u4f4d\u5e94\u6218\u3002<br \/>\n\u88c1\u5224\u4f1a\u5c06\u84dd\u6559\u7ec3\u6d3e\u51fa\u7684\u961f\u5458\u7684\u62f3\u5934\u5927\u5c0f\u4e0e\u7ea2\u6559\u7ec3\u6240\u6709\u5df2\u4e0a\u573a\u961f\u5458\u7684\u62f3\u5934\u5927\u5c0f\u9010\u4e00\u6bd4\u8f83\u3002<br \/>\n\u6bcf\u5f53\u84dd\u961f\u5458\u7684\u62f3\u5934\u5927\u5c0f\u5927\u4e8e\u7ea2\u961f\u67d0\u4f4d\u5df2\u4e0a\u573a\u961f\u5458\u7684\u62f3\u5934\uff0c\u84dd\u6559\u7ec3\u4fbf\u80fd\u8d62\u5f97\u4e00\u6b21\u80dc\u5229\uff08\u6ce8\u610f\uff0c\u8fd9\u4e0d\u662f\u4e00\u5bf9\u4e00\u7684\u8f83\u91cf\uff0c\u800c\u662f\u4ee5\u4e00\u654c\u591a\u7684\u6311\u6218\uff09\u3002<br \/>\n\u8fd9\u573a\u6bd4\u8d5b\u4e0d\u4e3a\u80dc\u8d1f\uff0c\u53ea\u4e3a\u653e\u677e\u4e0e\u5207\u78cb\uff0c\u53ef\u84dd\u6559\u7ec3\u5fc3\u91cc\u5374\u85cf\u7740\u5c0f\u7b97\u76d8\uff1a\u65e2\u8981\u8ba9\u961f\u5458\u4eec\u5f00\u5fc3\uff0c\u4e5f\u60f3\u501f\u673a\u79c0\u4e00\u628a\u5e26\u961f\u672c\u4e8b\uff0c\u5728\u84dd\u6865\u676f\u7684\u8bad\u7ec3\u8425\u91cc\u7559\u4e0b\u70b9\u540d\u58f0\u3002\u73b0\u5728\uff0c\u8bf7\u4f60\u52a9\u84dd\u6559\u7ec3\u4e00\u81c2\u4e4b\u529b\uff0c\u7b97\u51fa\u5728\u6700\u4f18\u7b56\u7565\u4e0b\uff0c\u4ed6\u6700\u591a\u80fd\u62ff\u4e0b\u591a\u5c11\u6b21\u80dc\u5229\uff1f<\/li>\n<\/ul>\n<h2>\u601d\u8def<\/h2>\n<ul>\n<li><span style=\"color: #008000;\">\u6cd5\u4e00\uff1a(\u8d2a\u5fc3\u52a0\u5c0f\u6839\u5806\u505a\u6cd5)\u6b64\u9898\u63cf\u8ff0\u7684\u6709\u70b9\u95ee\u9898\uff0c\u6b63\u786e\u7406\u89e3\u5e94\u8be5\u662f\u7ea2\u961f\u4f9d\u6b21\u4e0a\u573a,\u84dd\u961f\u6311\u9009\u4e00\u4e2a\u4e0a\u573a\uff0c\u5355\u6311\u5728\u573a\u6240\u6709\u7ea2\u961f\u9009\u624b\uff0c\u8d62\u4e00\u6b21\u52a0\u4e00\u5206\u3002\u8d2a\u5fc3\u52a0\u4e00\u70b9\u4f18\u5148\u961f\u5217(\u5c0f\u6839\u5806)\u3002\u6709\u4e00\u4e2a\u7ec6\u8282\uff0c\u5c06\u7ea2\u961f\u6bcf\u6b21\u4e0a\u573a\u7684\u9009\u624b\u5b58\u5165\u5806\u4e2d\uff0c\u84dd\u961f\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\u4f9d\u6b21\u7528\u5c0f\u7684\u53bb\u6bd4\u8f83\uff0c\u5982\u679c\u6709\u4e00\u4e2a\u662f\u84dd\u961f\u5927\uff0c\u90a3\u4e48\u540e\u9762\u7684\u5269\u4e0b\u7684\u84dd\u961f\u6210\u5458\u4e00\u5b9a\u6bd4\u8fd9\u4e2a\u7ea2\u961f\u7684\u5927\uff0c\u90fd\u5f97\u4e00\u5206\u3002<span style=\"color: #000080;\">\u65f6\u95f4\u590d\u6742\u5ea6O(nlogn)<\/span><\/span><\/li>\n<li><span style=\"color: #008000;\">\u6cd5\u4e8c\uff1a(\u4e8c\u5206\u505a\u6cd5)\u5bf9\u84dd\u961f\u6210\u5458\u5b9e\u529b\u6392\u5e8f\u540e\u8fdb\u884c\u4e8c\u5206\uff0c\u627e\u5230\u7b2c\u4e00\u4e2a\u6bd4\u5f53\u524d\u7ea2\u961f\u6210\u5458\u5b9e\u529b\u5927\u7684\uff0c\u90a3\u4e48\u540e\u9762\u4e00\u5b9a\u90fd\u6bd4\u4ed6\u5927\uff0c\u76f4\u63a5\u52a0\u4e0a\u6240\u6709\u6bd4\u4ed6\u5927\u7684\u6570\u91cf\u5373\u53ef\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\u8ba1\u6570\u65b9\u6cd5(x\u5230y\u6709y-x+1\u4e2a\u6570) \u3002<span style=\"color: #000080;\">\u65f6\u95f4\u590d\u6742\u5ea6O(nlogn)<\/span><\/span><\/li>\n<\/ul>\n<h2>\u4ee3\u7801<\/h2>\n<h3>1..\u8d2a\u5fc3\u52a0\u5c0f\u6839\u5806<\/h3>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">void solve()\r\n{\r\n    int n;\r\n    cin &gt;&gt; n;\r\n\r\n    vector&lt;int&gt; a(n + 1) , b(n + 1);\r\n\r\n    for (int i = 1 ; i &lt;= n ; i ++ ) cin &gt;&gt; a[i];\r\n    for (int i = 1 ; i &lt;= n ; i ++ ) cin &gt;&gt; b[i];\r\n    sort(all(a));\r\n\r\n    int ans = 0;\r\n    int cnt = 0;\r\n    priority_queue&lt;int , vector&lt;int&gt; , greater&lt;int&gt; &gt; heap;\r\n\r\n    for (int i = 1 ; i &lt;= n ; i ++ )\r\n    {\r\n        heap.push(b[i]);\r\n        while (heap.size() &amp;&amp; heap.top() &lt; a[i]) cnt ++ , heap.pop();\r\n        ans += cnt;\r\n    }\r\n\r\n    cout &lt;&lt; ans &lt;&lt; endl;\r\n}<\/pre>\n<h3>2..\u4e8c\u5206<\/h3>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">void solve()\r\n{\r\n    int n;\r\n    cin &gt;&gt; n;\r\n\r\n    vector&lt;int&gt; a(n + 1) , b(n + 1);\r\n\r\n    for (int i = 1 ; i &lt;= n ; i ++ ) cin &gt;&gt; a[i];\r\n    for (int i = 1 ; i &lt;= n ; i ++ ) cin &gt;&gt; b[i];\r\n    sort(all(a));\r\n\r\n    int ans = 0;\r\n    for (int i = 1 ; i &lt;= n ; i ++ )\r\n    {\r\n        ans += n - (upper_bound(a.begin() + i , a.end() , b[i]) - a.begin()) + 1;\r\n    }\r\n    cout &lt;&lt; ans &lt;&lt; endl;\r\n}<\/pre>\n<h1>5.\u672a\u6765\u7ade\u8d5b<\/h1>\n<h2>\u9898\u76ee\u63cf\u8ff0\uff1a<\/h2>\n<ul>\n<li>\u672c\u6b21\u5927\u8d5b\u5171\u6709 N \u4f4d\u53c2\u8d5b\u8005\uff0c\u7b2c i \u4f4d\u53c2\u8d5b\u8005\u7684\u7f16\u53f7\u4e3a i\uff0c\u6765\u81ea\u7f16\u53f7\u4e3a A_i \u7684\u56fd\u5bb6\u3002\u6bd4\u8d5b\u673a\u623f\u7684\u7535\u8111\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u7f16\u53f7\u4e3a 1 \u5230 N\uff0c\u6bcf\u4f4d\u53c2\u8d5b\u8005\u5c06\u5728\u4e0e\u81ea\u5df1\u7f16\u53f7\u76f8\u540c\u7684\u7535\u8111\u4e0a\u8fdb\u884c\u6bd4\u8d5b\u3002\u4e3a\u4e86\u786e\u4fdd\u6bd4\u8d5b\u7684\u516c\u5e73\u6027\uff0c\u84dd\u6865\u676f\u5b98\u65b9\u51b3\u5b9a\u5bf9\u90e8\u5206\u53c2\u8d5b\u8005\u7684\u7535\u8111\u8fdb\u884c\u62bd\u6837\u76d1\u63a7\u3002\u7136\u800c\uff0c\u76d1\u63a7\u65b9\u5f0f\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\uff1a<br \/>\n1. \u76d1\u63a7\u7684\u7535\u8111\u6570\u91cf\u4e0d\u80fd\u4e3a\u96f6\u3002<br \/>\n2. \u540c\u4e00\u4e2a\u56fd\u5bb6\u6216\u5730\u533a\u7684\u53c2\u8d5b\u8005\u6700\u591a\u53ea\u80fd\u6709\u4e24\u53f0\u7535\u8111\u88ab\u76d1\u63a7\uff0c\u4e0d\u80fd\u8fc7\u591a\u96c6\u4e2d\u76d1\u63a7\u67d0\u4e2a\u56fd\u5bb6\u7684\u9009\u624b\u3002<br \/>\n3. \u5982\u679c\u540c\u4e00\u4e2a\u56fd\u5bb6\u6216\u5730\u533a\u7684\u4e24\u53f0\u7535\u8111\u88ab\u76d1\u63a7\uff0c\u5b83\u4eec\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e0d\u80fd\u8d85\u8fc7 D\u3002\u8fd9\u91cc\u7684\u8ddd\u79bb\u5b9a\u4e49\u4e3a\u4e24\u53f0\u7535\u8111\u7f16\u53f7\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c\u3002<br \/>\n\u7531\u4e8e\u53ef\u80fd\u7684\u76d1\u63a7\u65b9\u5f0f\u5b9e\u5728\u592a\u591a\uff0c\u5b98\u65b9\u4e00\u65f6\u96be\u4ee5\u8ba1\u7b97\uff0c\u4e8e\u662f\u4ed6\u4eec\u5411\u4f60\u6c42\u52a9\uff0c\u5e0c\u671b\u4f60\u80fd\u5e2e\u5fd9\u8ba1\u7b97\u51fa\u6240\u6709\u5408\u6cd5\u7684\u76d1\u63a7\u65b9\u5f0f\u6570\u91cf\u3002<br \/>\n\u7531\u4e8e\u7ed3\u679c\u53ef\u80fd\u975e\u5e38\u5e9e\u5927\uff0c\u8bf7\u5c06\u7b54\u6848\u5bf9 10^9 + 7 \u53d6\u6a21\u540e\u8f93\u51fa\u3002<\/li>\n<\/ul>\n<h2>\u601d\u8def<\/h2>\n<ul>\n<li><span style=\"color: #008000;\">\u72ec\u7acb\u5904\u7406\u6bcf\u4e2a\u5730\u533a\u8ddd\u79bb\uff0c\u4e8c\u5206\u8ba1\u7b97\u8ddd\u79bb\u4e3ad\u5185\u7684\u9009\u62e9\u65b9\u5f0f\u3002\u6392\u5217\u7ec4\u5408\u539f\u7406\uff1a\u6bcf\u4e2a\u5730\u533a\u7684\u9009\u4e00\u4e2a+\u9009\u4e24\u4e2a\u7684\u65b9\u5f0f\u6570\u91cf\u548c\u76f8\u4e58\u3002\u5bf9ans\u521d\u59cb\u53161\u6700\u540e\u4e5f\u8981\u51cf\u53bb1\uff0c\u56e0\u4e3a\u4e0d\u80fd\u4e00\u4e2a\u90fd\u4e0d\u9009\u3002<span style=\"color: #0000ff;\">\u65f6\u95f4\u590d\u6742\u5ea6O(nlogn).<\/span><\/span><\/li>\n<li><span style=\"color: #008000;\">\u6ed1\u52a8\u7a97\u53e3(\u53cc\u6307\u9488) r\u6307\u9488\u4ece0\u5f00\u59cb\u8ba1\u7b97\u4f9d\u6b21\u7edf\u8ba1\u6bcf\u4e2a\u5730\u533a\u8ddd\u79bb\u5c0f\u4e8ed\u7684\u76d1\u63a7\u4e24\u4e2a\u7535\u8111\u7684\u65b9\u6848\u6570\u91cf\uff0c\u6700\u540eans *=(\u4e00\u4e2a\u90fd\u4e0d\u76d1\u63a7 + \u76d1\u63a7\u4e00\u53f0 + \u76d1\u63a7\u4e24\u53f0 ) \u5373\u53ef\u3002\u6700\u540e\u8f93\u51fa\u7684\u65f6\u5019\u51cf\u4e00\u662f\u603b\u65b9\u6848\u4e0d\u80fd\u6240\u6709\u5730\u533a\u4e00\u4e2a\u90fd\u4e0d\u76d1\u63a7\u3002<span style=\"color: #0000ff;\">\u65f6\u95f4\u590d\u6742\u5ea6O(n)<\/span><\/span><\/li>\n<\/ul>\n<h2>\u4ee3\u7801<\/h2>\n<h3>1..\u4e8c\u5206+\u6392\u5217\u7ec4\u5408\u539f\u7406<\/h3>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">const int mod = 1e9 + 7;\r\n\r\nvoid solve()\r\n{\r\n    int n , d;\r\n    cin &gt;&gt; n &gt;&gt; d;\r\n    unordered_map&lt;int , vector&lt;int&gt; &gt; m;\r\n\r\n    for (int i = 1 , temp ; i &lt;= n ; i ++ ) \r\n    {\r\n        cin &gt;&gt; temp; \r\n        m[temp].push_back(i);  \r\n    }\r\n\r\n    int ans = 1;\r\n    for (auto &amp;[mp , vec] : m)\r\n    {\r\n        int cnt = 0;\r\n\r\n        for (int i = 0 ; i &lt; vec.size() ; i ++ )\r\n            cnt += (upper_bound(vec.begin() , vec.end() , d + vec[i]) - vec.begin()) - i - 1;\r\n        cnt += vec.size() + 1; \/\/\u52a01\u662f\u4e00\u4e2a\u90fd\u4e0d\u76d1\u63a7\u7684\u60c5\u51b5\r\n        ans *= cnt;\r\n        ans %= mod;\r\n    }\r\n    cout &lt;&lt; ans - 1 &lt;&lt; endl;\r\n\r\n}<\/pre>\n<h3>2..\u6ed1\u52a8\u7a97\u53e3<\/h3>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\">const int mod = 1e9 + 7;\r\n\r\nvoid solve()\r\n{\r\n    int n , d;\r\n    cin &gt;&gt; n &gt;&gt; d;\r\n\r\n    unordered_map&lt;int , vector&lt;int&gt; &gt; m;\r\n\r\n    for (int i = 1 ; i &lt;= n ; i ++ )\r\n    {\r\n        int temp;\r\n        cin &gt;&gt; temp;\r\n        m[temp].push_back(i);\r\n    }\r\n\r\n    int ans = 1;\r\n\r\n    for (auto &amp;[mp , vec] : m)\r\n    {\r\n        int countSize = vec.size();\r\n        \r\n        int l = 0 , cnt = 0 , distance = 0;\r\n\r\n        for (int r = 0 ; r &lt; countSize ; r ++ )\r\n        {\r\n            distance = vec[r] - vec[l];\r\n            \r\n            while (distance &gt; d &amp;&amp; l &lt; r)\r\n            {\r\n                l ++ ;\r\n                distance = vec[r] - vec[l];\r\n            }\r\n\r\n            cnt += r - l;\r\n        }\r\n        ans *= (1 + cnt + countSize);\r\n        ans %= mod;\r\n    }\r\n\r\n    cout &lt;&lt; ans - 1 &lt;&lt; endl;\r\n}<\/pre>\n<h1>6.\u5907\u4efd\u6bd4\u8d5b\u6570\u636e<\/h1>\n<h2>\u9898\u76ee\u63cf\u8ff0<\/h2>\n<ul>\n<li>\u84dd\u6865\u676f\u5927\u8d5b\u7684\u7ec4\u59d4\u4f1a\u6700\u8fd1\u9047\u5230\u4e86\u4e00\u4e2a\u68d8\u624b\u7684\u95ee\u9898\u3002\u4ed6\u4eec\u6709 N \u53f0\u7535\u8111\u9700\u8981\u5907\u4efd\u6bd4\u8d5b\u6570\u636e\uff0c\u6bcf\u53f0\u7535\u8111\u6240\u9700\u7684\u5907\u4efd\u65f6\u95f4\u5206\u522b\u4e3a A_1, A_2, ..., A_N \u5206\u949f\u3002<br \/>\n\u5907\u4efd\u5fc5\u987b\u6309\u7f16\u53f7\u987a\u5e8f\u4f9d\u6b21\u8fdb\u884c\uff0c\u5373\u5148\u7b2c 1 \u53f0\uff0c\u518d\u7b2c 2 \u53f0\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002\u6bcf\u53f0\u7535\u8111\u7684\u5907\u4efd\u9700\u8981\u5de5\u4f5c\u4eba\u5458\u6301\u7eed\u64cd\u4f5c\uff0c\u4e14\u5fc5\u987b\u5b89\u6392\u5728\u540c\u4e00\u5929\u5185\u5b8c\u6210\u3002\u4f8b\u5982\uff0c\u5982\u679c\u67d0\u53f0\u7535\u8111\u7684\u5907\u4efd\u9700\u8981 5 \u5206\u949f\uff0c\u90a3\u8fd9 5 \u5206\u949f\u5fc5\u987b\u5b89\u6392\u5728\u540c\u4e00\u5929\uff0c\u4e0d\u80fd\u62c6\u5206\u5230\u4e24\u5929\u3002\u5982\u679c\u5f53\u5929\u5269\u4f59\u65f6\u95f4\u4e0d\u8db3\u4ee5\u5b8c\u6210\u67d0\u53f0\u7535\u8111\u7684\u5907\u4efd\uff0c\u90a3\u5c31\u53ea\u80fd\u63a8\u8fdf\u5230\u7b2c\u4e8c\u5929\u8fdb\u884c\u3002<br \/>\n\u6bcf\u53f0\u7535\u8111\u5907\u4efd\u5b8c\u6210\u540e\uff0c\u7cfb\u7edf\u9700\u8981\u7b49\u5f85 B_i \u5206\u949f\u624d\u80fd\u5f00\u59cb\u4e0b\u4e00\u53f0\u7684\u5907\u4efd\u3002\u8fd9\u6bb5\u7b49\u5f85\u65f6\u95f4\u4e0d\u9700\u8981\u5de5\u4f5c\u4eba\u5458\u64cd\u4f5c\uff0c\u4e14\u53ef\u4ee5\u8de8\u5929\u8fdb\u884c\u3002\u4f8b\u5982\uff0c\u5982\u679c\u7b2c 1 \u53f0\u7535\u8111\u7684\u5907\u4efd\u5728\u7b2c 1 \u5929\u7ed3\u675f\u65f6\u5b8c\u6210\uff0c\u4e14 B_1 = 10 \u5206\u949f\uff0c\u90a3\u4e48\u7b2c 2 \u53f0\u7535\u8111\u7684\u5907\u4efd\u53ea\u9700\u5728\u7b2c 2 \u5929\u5f00\u59cb\u540e\u7b49\u5f85 10 \u5206\u949f\u5c31\u80fd\u8fdb\u884c\u3002<br \/>\n\u73b0\u5728\uff0c\u7ec4\u59d4\u4f1a\u5e0c\u671b\u5c3d\u91cf\u7f29\u77ed\u6bcf\u5929\u7684\u5de5\u4f5c\u65f6\u95f4\uff0c\u4ee5\u4fbf\u5de5\u4f5c\u4eba\u5458\u80fd\u5c3d\u65e9\u4e0b\u73ed\u4f11\u606f\u3002\u4f46\u4e0a\u7ea7\u6709\u8981\u6c42\uff0c\u6240\u6709\u7535\u8111\u7684\u5907\u4efd\u5fc5\u987b\u5728\u6700\u591a T \u5929\u5185\u5b8c\u6210\u3002\u5bf9\u6b64\uff0c\u8bf7\u4f60\u5e2e\u52a9\u84dd\u6865\u676f\u7ec4\u59d4\u4f1a\u8ba1\u7b97\u51fa\u6bcf\u5929\u6700\u5c11\u9700\u8981\u5b89\u6392\u7684\u5de5\u4f5c\u65f6\u95f4 M\uff08M \u6700\u5927\u4e0d\u53ef\u8d85\u8fc7 3600\uff09\uff0c\u4ee5\u4fbf\u6240\u6709\u7535\u8111\u7684\u5907\u4efd\u80fd\u5728 T \u5929\u5185\u987a\u5229\u5b8c\u6210\u3002\u5982\u679c\u65e0\u8bba\u5982\u4f55\u90fd\u65e0\u6cd5\u6ee1\u8db3\u6761\u4ef6\uff0c\u8bf7\u76f4\u63a5\u8f93\u51fa -1\u3002<\/li>\n<\/ul>\n<h2>\u601d\u8def<\/h2>\n<ul>\n<li>\u6682\u65e0\uff0c\u8d85\u7ea7\u5927\u6a21\u62df\u3002<\/li>\n<\/ul>\n<h2>\u4ee3\u7801<\/h2>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bf4\u660e \u6b64\u6587\u4ec5\u4e3a\u4f5c\u8005\u4e2a\u4eba\u89c1\u89e3\u3002\u539f\u9898\u94fe\u63a5\uff1ahttps:\/\/www.lanqiao.cn\/oj-contest\/senior-27\/ \u603b 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