{"id":51,"date":"2025-01-11T22:59:02","date_gmt":"2025-01-11T14:59:02","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=51"},"modified":"2025-01-11T22:59:02","modified_gmt":"2025-01-11T14:59:02","slug":"c2-balanced-removals-harder-%e5%b9%be%e4%bd%95%e3%80%81%e6%80%9d%e7%b6%ad","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=51","title":{"rendered":"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad)"},"content":{"rendered":"\n

Codeforce 1237C2 Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1237C2
\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\n

\u984c\u76ee<\/strong>
\n\u7d66\u4f60\u5076\u6578\u500b\u4e09\u7dad\u5ea7\u6a19\u9ede\uff0c\u6bcf\u6b21\u9078\u5176\u4e2d\u5169\u9ede\uff0c\u5982\u679c\u5169\u9ede\u70ba\u5c0d\u89d2\u7684\u76d2\u5b50(\u53ef\u4ee5\u9000\u5316\u62102,1\u7dad)\u4e2d\u4e0d\u5305\u542b\u5176\u4ed6\u672a\u79fb\u9664\u7684\u9ede\uff0c\u90a3\u9ebc\u5c31\u53ef\u4ee5\u628a\u9019\u5169\u9ede\u79fb\u9664\u3002\u8981\u8f38\u51fa\u4e00\u500b\u5408\u6cd5\u7684\u79fb\u9664\u9806\u5e8f<\/p>\n<\/blockquote>\n

\u60f3\u6cd5<\/h3>\n

\u5982\u679c\u73fe\u5728\u53ea\u6709\u4e00\u7dad\uff0c\u90a3\u9ebc\u554f\u984c\u5c31\u7c21\u55ae\u4e86\uff0c\u628a\u5ea7\u6a19\u6392\u5e8f\u4e00\u4e0b\uff0c\u5169\u500b\u5169\u500b\u79fb\u9664\u5c31\u597d\u3002
\n\u6240\u4ee5\u6211\u5011\u5982\u679c\u80fd\u5920\u628a\u554f\u984c\u5316\u7d04\u5230\u4e00\u7dad\u4e0a\u5c31\u89e3\u6c7a\u4e86\u3002
\n\u89c0\u5bdf\u5230\uff0c\u5982\u679c\u73fe\u5728\u6709n\u500b(\u4e0d\u4fdd\u8b49\u5076\u6578)\u4e00\u7dad\u7684\u9ede\uff0c\u90a3\u9ebc\u522a\u9664\u5230\u6700\u5f8c\u6703\u6700\u591a\u5269\u4e0b\u4e00\u500b\u9ede\u3002\u5229\u7528\u9019\u9ede\uff0c\u9996\u5148\u6211\u5011\u628a\u540c\u6a23z\u5ea7\u6a19\u7684\u9ede\u5206\u5806\u6536\u96c6\u8d77\u4f86(\u5716\u5f62\u4e0a\u4f86\u770b:\u628a\u5728\u540c\u6a23x-y\u5e73\u9762\u7684\u9ede\u6536\u96c6\u8d77\u4f86)\uff0c\u7136\u5f8c\u63a5\u8457\u905e\u8ff4\u5730\u8655\u7406:
\n\u5c0d\u65bc\u6bcf\u500bx-y\u5e73\u9762\uff0c\u628a\u540c\u6a23y\u5ea7\u6a19\u7684\u9ede\u6536\u96c6\u8d77\u4f86(\u5716\u5f62\u4e0a\u4f86\u770b:\u628a\u5728\u540c\u6a23x\u8ef8\u76f4\u7dda\u7684\u9ede\u6536\u96c6\u8d77\u4f86)\u2026\u3002
\n\u800c\u6bcf\u500b\u964d\u4e00\u500b\u7dad\u5ea6\u7684\u9ede\u96c6\u8655\u7406\u5b8c\u4ee5\u5f8c\uff0c\u6709\u53ef\u80fd\u6703\u6709\u5269\u9918\u4e00\u500b\u9ede\u7121\u6cd5\u8655\u7406\uff0c\u628a\u9019\u4e9b\u9ede\u6536\u96c6\u8d77\u4f86\u5c31\u6703\u662f\u4e00\u500b\u4e00\u7dad\u7684\u9ede\u96c6\uff0c\u5c31\u53ef\u4ee5\u76f4\u63a5\u5169\u500b\u5169\u500b\u8f38\u51fa\u4e86\u3002<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
const int _n=5e4+10;  \nint t,n;  \nvector<VI> p(_n,VI(3));  \nint solve(VI& ids,int d){  \n  if(d==0)return ids[0];  \n  map<int,VI> mp;  \n  rep(i,0,SZ(ids))mp[p[ids[i]][d-1]].pb(ids[i]);  \n  VI left;  \n  for(auto& x:mp){  \n    int res=solve(x.se,d-1);  \n    if(res!=-1)left.pb(res);  \n  }  \n  for(int i=0;i+1<SZ(left);i+=2){cout<<left[i]+1<<' '<<left[i+1]+1<<'\\n';}  \n  if(SZ(left)%2==1)return left.back();  \n  return -1;  \n}  \nmain(void) {cin.tie(0);ios_base::sync_with_stdio(0);  \n  cin>>n;rep(i,0,n)rep(j,0,3)cin>>p[i][j];  \n  VI init;rep(i,0,n)init.pb(i);  \n  solve(init,3);  \n  return 0;  \n}  \n<\/code><\/pre>\n
\u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b
\nSubmission<\/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":[22,8],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-22","tag-8"],"jetpack_publicize_connections":[],"yoast_head":"\nC2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad) - Logic Formatting<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\" \/>\n<meta property=\"og:locale\" content=\"zh_TW\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad) - Logic Formatting\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\" \/>\n<meta property=\"og:site_name\" content=\"Logic Formatting\" \/>\n<meta property=\"article:published_time\" content=\"2025-01-11T14:59:02+00:00\" \/>\n<meta name=\"author\" content=\"jeff\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005:\" \/>\n\t<meta name=\"twitter:data1\" content=\"jeff\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9810\u4f30\u95b1\u8b80\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\u9418\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51#article\",\"isPartOf\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\"},\"author\":{\"name\":\"jeff\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/person\/233e80a0fee3d4706f067f2e88c0b454\"},\"headline\":\"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad)\",\"datePublished\":\"2025-01-11T14:59:02+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\"},\"wordCount\":19,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#organization\"},\"keywords\":[\"\u5e7e\u4f55\",\"\u601d\u7dad\"],\"articleSection\":[\"ojcode\"],\"inLanguage\":\"zh-TW\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/blog.seekrealthing.net\/blog\/?p=51#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\",\"url\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\",\"name\":\"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad) - Logic Formatting\",\"isPartOf\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#website\"},\"datePublished\":\"2025-01-11T14:59:02+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51#breadcrumb\"},\"inLanguage\":\"zh-TW\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/blog.seekrealthing.net\/blog\/?p=51\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/?p=51#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9801\",\"item\":\"https:\/\/blog.seekrealthing.net\/blog\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#website\",\"url\":\"https:\/\/blog.seekrealthing.net\/blog\/\",\"name\":\"Logic Formatting\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/blog.seekrealthing.net\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-TW\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#organization\",\"name\":\"Logic Formatting\",\"url\":\"https:\/\/blog.seekrealthing.net\/blog\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-TW\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/blog.seekrealthing.net\/blog\/wp-content\/uploads\/2025\/02\/android-chrome-512x512-1.png\",\"contentUrl\":\"https:\/\/blog.seekrealthing.net\/blog\/wp-content\/uploads\/2025\/02\/android-chrome-512x512-1.png\",\"width\":512,\"height\":512,\"caption\":\"Logic Formatting\"},\"image\":{\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/person\/233e80a0fee3d4706f067f2e88c0b454\",\"name\":\"jeff\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-TW\",\"@id\":\"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/f9b571b28c252728386f0002b35d9cb9a9028f740b0f9ca5ad678e7eb21c4857?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/f9b571b28c252728386f0002b35d9cb9a9028f740b0f9ca5ad678e7eb21c4857?s=96&d=mm&r=g\",\"caption\":\"jeff\"},\"sameAs\":[\"http:\/\/150.230.63.147\/blog\"],\"url\":\"https:\/\/blog.seekrealthing.net\/blog\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad) - Logic Formatting","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/blog.seekrealthing.net\/blog\/?p=51","og_locale":"zh_TW","og_type":"article","og_title":"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad) - Logic Formatting","og_url":"https:\/\/blog.seekrealthing.net\/blog\/?p=51","og_site_name":"Logic Formatting","article_published_time":"2025-01-11T14:59:02+00:00","author":"jeff","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005:":"jeff","\u9810\u4f30\u95b1\u8b80\u6642\u9593":"1 \u5206\u9418"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/blog.seekrealthing.net\/blog\/?p=51#article","isPartOf":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/?p=51"},"author":{"name":"jeff","@id":"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/person\/233e80a0fee3d4706f067f2e88c0b454"},"headline":"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad)","datePublished":"2025-01-11T14:59:02+00:00","mainEntityOfPage":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/?p=51"},"wordCount":19,"commentCount":0,"publisher":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/#organization"},"keywords":["\u5e7e\u4f55","\u601d\u7dad"],"articleSection":["ojcode"],"inLanguage":"zh-TW","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/blog.seekrealthing.net\/blog\/?p=51#respond"]}]},{"@type":"WebPage","@id":"https:\/\/blog.seekrealthing.net\/blog\/?p=51","url":"https:\/\/blog.seekrealthing.net\/blog\/?p=51","name":"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad) - Logic Formatting","isPartOf":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/#website"},"datePublished":"2025-01-11T14:59:02+00:00","breadcrumb":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/?p=51#breadcrumb"},"inLanguage":"zh-TW","potentialAction":[{"@type":"ReadAction","target":["https:\/\/blog.seekrealthing.net\/blog\/?p=51"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/blog.seekrealthing.net\/blog\/?p=51#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9801","item":"https:\/\/blog.seekrealthing.net\/blog"},{"@type":"ListItem","position":2,"name":"C2. Balanced Removals (Harder) (\u5e7e\u4f55\u3001\u601d\u7dad)"}]},{"@type":"WebSite","@id":"https:\/\/blog.seekrealthing.net\/blog\/#website","url":"https:\/\/blog.seekrealthing.net\/blog\/","name":"Logic Formatting","description":"","publisher":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/blog.seekrealthing.net\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-TW"},{"@type":"Organization","@id":"https:\/\/blog.seekrealthing.net\/blog\/#organization","name":"Logic Formatting","url":"https:\/\/blog.seekrealthing.net\/blog\/","logo":{"@type":"ImageObject","inLanguage":"zh-TW","@id":"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/logo\/image\/","url":"https:\/\/blog.seekrealthing.net\/blog\/wp-content\/uploads\/2025\/02\/android-chrome-512x512-1.png","contentUrl":"https:\/\/blog.seekrealthing.net\/blog\/wp-content\/uploads\/2025\/02\/android-chrome-512x512-1.png","width":512,"height":512,"caption":"Logic Formatting"},"image":{"@id":"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/person\/233e80a0fee3d4706f067f2e88c0b454","name":"jeff","image":{"@type":"ImageObject","inLanguage":"zh-TW","@id":"https:\/\/blog.seekrealthing.net\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f9b571b28c252728386f0002b35d9cb9a9028f740b0f9ca5ad678e7eb21c4857?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f9b571b28c252728386f0002b35d9cb9a9028f740b0f9ca5ad678e7eb21c4857?s=96&d=mm&r=g","caption":"jeff"},"sameAs":["http:\/\/150.230.63.147\/blog"],"url":"https:\/\/blog.seekrealthing.net\/blog\/?author=1"}]}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/51","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=51"}],"version-history":[{"count":1,"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/51\/revisions"}],"predecessor-version":[{"id":52,"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/51\/revisions\/52"}],"wp:attachment":[{"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=51"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=51"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.seekrealthing.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=51"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}