{"id":64,"date":"2025-01-11T23:06:57","date_gmt":"2025-01-11T15:06:57","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=64"},"modified":"2025-01-11T23:06:57","modified_gmt":"2025-01-11T15:06:57","slug":"f2-same-sum-blocks-hard-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad%e3%80%81%e5%89%8d%e7%b6%b4%e5%92%8c%e3%80%81%e8%b2%aa%e5%bf%83","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=64","title":{"rendered":"F2. Same Sum Blocks (Hard) \u89e3\u6790(\u601d\u7dad\u3001\u524d\u7db4\u548c\u3001\u8caa\u5fc3)"},"content":{"rendered":"\n<div class=\"wp-block-jetpack-markdown\"><h1>Codeforce 1141 F2. Same Sum Blocks (Hard) \u89e3\u6790(\u601d\u7dad\u3001\u524d\u7db4\u548c\u3001\u8caa\u5fc3)<\/h1>\n<p>\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1141F2(Hard)<br>\n<a href=\"https:\/\/codeforces.com\/problemset\/problem\/1141\/F2\">\u984c\u76ee\u9023\u7d50<\/a><\/p>\n<blockquote>\n<p><strong>\u984c\u76ee<\/strong><br>\n\u7d66\u4f60\u4e00\u500b\u6578\u5217$a$\uff0c\u8981\u4f60\u5f9e\u4e2d\u627e\u51fa\u82e5\u5e72\u500b\u6578\u5b57\u548c\u4e00\u6a23\u7684disjoint\u7684\u9023\u7e8c\u5340\u6bb5\uff0c\u8f38\u51fa\u6700\u591a\u7684\u6bb5\u6578\u548c\u662f\u54ea\u4e9b\u6bb5\u3002<\/p>\n<\/blockquote>\n<h3>\u524d\u8a00<\/h3>\n<p>\u4e00\u958b\u59cb\u9084\u662f\u9677\u5165\u548c\u4ee5\u524d\u4e00\u6a23\u7684\u8aa4\u5340\uff0c\u7e3d\u611f\u89ba\u5982\u679c\u66b4\u529b\u628a\u6240\u6709\u53ef\u80fd\u90fd\u627e\u51fa\u4f86\u8981$O(2^n)$\uff0c\u4f46\u5176\u5be6\u56e0\u70ba\u5340\u6bb5\u662f\u9023\u7e8c\u7684\uff0c\u6240\u4ee5\u5168\u90e8\u627e\u51fa\u4f86\u53ea\u8981$O(n^2)$<br>\n<img decoding=\"async\" src=\"https:\/\/i.imgur.com\/09nvm0Y.jpg\" alt=\"\"><\/p>\n<p>&lt;div class=\u201cVVVcopyrightAAA\u201d;&gt;@copyright petjelinux \u7248\u6b0a\u6240\u6709&lt;br&gt;<br>\n&lt;a href=\u201chttps:\/\/www.cnblogs.com\/petjelinux\/\u201d&gt;\u89c0\u770b\u66f4\u591a\u6b63\u7248\u539f\u59cb\u6587\u7ae0\u8acb\u81f3petjelinux\u7684blog&lt;\/a&gt;&lt;\/div&gt;<\/p>\n<h3>\u60f3\u6cd5<\/h3>\n<p>\u66b4\u529b\u628a\u6240\u6709\u5340\u6bb5\u627e\u51fa\u4f86\uff0c\u4e26\u4e14\u4ee5\u5340\u6bb5\u548c\u7684\u503c\u7576\u4f5cKey\u5b58\u5728map\u88e1\uff0c\u56e0\u70ba\u5340\u6bb5\u662f\u9023\u7e8c\u7684\uff0c\u6240\u4ee5\u5168\u90e8\u627e\u51fa\u4f86\u53ea\u8981$O(n^2)$\u3002<br>\n\u7576\u7136\uff0c\u76f4\u63a5\u5168\u90e8\u627e\u5f88\u6709\u53ef\u80fd\u5340\u6bb5\u6703\u91cd\u758a\uff0c\u4f46\u5176\u5be6\u53ea\u8981\u7a0d\u5fae\u601d\u8003\u4e00\u4e0b\uff0c\u5982\u679c\u6211\u5011\u5f9e$1$\u958b\u59cb\u679a\u8209\u5340\u6bb5\u7684\u7d50\u675f\u4f4d\u7f6e\uff0c\u4e26\u4e14\u6162\u6162\u5f9e\u9577\u5ea6$1$\u5230\u9577\u5ea6$i$($i$\u662f\u5340\u6bb5\u7d50\u675f\u7684\u4f4d\u7f6e)\u7684\u5340\u6bb5\u8003\u616e\uff0c\u5982\u679c\u767c\u73fe\u540c\u6a23\u7684$sum$(\u5340\u6bb5\u548c)\u5728\u524d\u9762\u5df2\u7d93\u6709\u51fa\u73fe\u904e\u4e86\uff0c\u90a3\u5c31\u6aa2\u67e5\u4e4b\u524d\u90a3\u500b\u5340\u6bb5\u662f\u5426\u548c\u76ee\u524d\u6aa2\u67e5\u7684\u6709\u91cd\u548c\uff0c\u6c92\u91cd\u548c\u624d\u6703\u52a0\u9032map\u88e1\u3002<br>\n\u6211\u5011\u9019\u6a23\u505a\u80fd\u6210\u529f\u7684\u539f\u56e0\u662f:\u5982\u679c\u60f3\u8981\u627e\u5230\u6700\u591a\u5340\u6bb5\uff0c\u90a3\u9ebc\u53ea\u8981\u5340\u6bb5\u548c\u662f$sum$\uff0c\u6211\u5011\u90fd\u6703\u9078\u300c<strong>\u5360\u7528\u6700\u5c11\u6709\u6f5b\u80fd\u7684\u683c\u5b50<\/strong>\u300d\u7684\u5340\u6bb5\uff0c\u56de\u5230\u4e0a\u9762\u6240\u8aaa\u7684\u627e\u6cd5\uff0c\u5982\u679c\u6211\u767c\u73fe\u6211\u76ee\u524d\u6240\u770b\u7684\u5340\u6bb5\u548c\u524d\u9762\u7684\u91cd\u5408\u4e86\uff0c\u5982\u679c\u6211\u786c\u662f\u628a\u524d\u9762\u5df2\u7d93\u627e\u5230\u7684\u5340\u6bb5\u522a\u6389\u4e86\uff0c\u90a3\u9ebc\u5340\u6bb5\u548c\u70ba$sum$\u7684\u5340\u6bb5\u5c11\u4e00\u500b\u53c8\u591a\u4e00\u500b\uff0c\u5b8c\u5168\u6c92\u597d\u8655\uff0c\u4e26\u4e14\u5f88\u6709\u53ef\u80fd\u6709\u7d50\u675f\u5f97\u6bd4\u76ee\u524d\u5340\u6bb5\u5f8c\u9762\u7684\u5340\u6bb5\u7684\u548c\u6703\u662f$sum$\uff0c\u56e0\u6b64\u6211\u5011\u53ef\u4ee5\u7528\u9019\u7a2e\u8caa\u5fc3\u7684\u505a\u6cd5\u3002<\/p>\n<h3>\u7a0b\u5f0f\u78bc:<\/h3>\n<pre><code class=\"language-cpp=\">const int _n=1510;  \nint t,n,a[_n],pre[_n];  \nstruct B{int st,ed;};  \nmap&lt;int,vector&lt;B&gt;&gt; mp;  \nvector&lt;B&gt; tmp;  \nmain(void) {ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);  \n  cin&gt;&gt;n;rep(i,1,n+1)cin&gt;&gt;a[i];rep(i,1,n+1)pre[i]=pre[i-1]+a[i];  \n  rep(i,1,n+1)per(j,0,i){  \n    int sum=pre[i]-pre[j];  \n    if(!mp.count(sum)){  \n      tmp.clear();tmp.pb({j+1,i});  \n      mp[sum]=tmp;  \n      continue;  \n    }  \n    if(mp[sum].back().ed&lt;=j)mp[sum].pb({j+1,i});  \n  }  \n  PII maxx={0,0};for(auto it=mp.begin();it!=mp.end();it++){  \n    if(SZ(it-&gt;se)&gt;maxx.fi)maxx.fi=SZ(it-&gt;se),maxx.se=it-&gt;fi;  \n  }cout&lt;&lt;maxx.fi&lt;&lt;'\\n';  \n  rep(i,0,maxx.fi)cout&lt;&lt;mp[maxx.se][i].st&lt;&lt;' '&lt;&lt;mp[maxx.se][i].ed&lt;&lt;'\\n';  \n  return 0;  \n}  \n<\/code><\/pre>\n<p>\u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b<br>\n<a href=\"https:\/\/codeforces.com\/contest\/1141\/submission\/91192683\">Submission<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[3],"tags":[10,9,25,8,5],"class_list":["post-64","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-ojcode","tag-25","tag-8","tag-5"],"jetpack_publicize_connections":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>F2. 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