{"id":7960,"date":"2024-04-19T23:58:40","date_gmt":"2024-04-19T15:58:40","guid":{"rendered":"https:\/\/zyrastory.com\/?p=7960"},"modified":"2024-04-20T00:00:34","modified_gmt":"2024-04-19T16:00:34","slug":"codeforces-490a-team-olympiad-solution-and-explanation-en","status":"publish","type":"post","link":"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-490a-team-olympiad-solution-and-explanation-en\/","title":{"rendered":"Codeforces 490A Team Olympiad Solution &amp; Explanation"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_66_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >\u5167\u5bb9\u76ee\u9304<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-490a-team-olympiad-solution-and-explanation-en\/#problem-description\" title=\"Problem Description\">Problem Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-490a-team-olympiad-solution-and-explanation-en\/#solution\" title=\"Solution\">Solution<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-490a-team-olympiad-solution-and-explanation-en\/#c-solution\" title=\"C# Solution\">C# Solution<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-490a-team-olympiad-solution-and-explanation-en\/#conclusion\" title=\"Conclusion\">Conclusion<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Difficulty : 800<\/p>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"problem-description\"><\/span><strong>Problem Description<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The School \u21160 of the capital of Berland has&nbsp;<em>n<\/em>&nbsp;children studying in it. All the children in this school are gifted: some of them are good at programming, some are good at maths, others are good at PE (Physical Education). Hence, for each child we know value&nbsp;<em>t<\/em><sub><em>i<\/em><\/sub>:<\/p>\n\n\n\n<ul>\n<li><em>t<\/em><sub><em>i<\/em><\/sub>\u2009=\u20091, if the\u00a0<em>i<\/em>-th child is good at programming,<\/li>\n\n\n\n<li><em>t<\/em><sub><em>i<\/em><\/sub>\u2009=\u20092, if the\u00a0<em>i<\/em>-th child is good at maths,<\/li>\n\n\n\n<li><em>t<\/em><sub><em>i<\/em><\/sub>\u2009=\u20093, if the\u00a0<em>i<\/em>-th child is good at PE<\/li>\n<\/ul>\n\n\n\n<p>Each child happens to be good at exactly one of these three subjects.<\/p>\n\n\n\n<p>The Team Scientific Decathlon Olympias requires teams of three students. The school teachers decided that the teams will be composed of three children that are good at different subjects. That is, each team must have one mathematician, one programmer and one sportsman. Of course, each child can be a member of no more than one team.<\/p>\n\n\n\n<p>What is the maximum number of teams that the school will be able to present at the Olympiad? How should the teams be formed for that?<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Input<\/strong><\/p>\n\n\n\n<p>The first line contains integer\u00a0<em>n<\/em>\u00a0(1\u2009\u2264\u2009<em>n<\/em>\u2009\u2264\u20095000) \u2014 the number of children in the school. The second line contains\u00a0<em>n<\/em>\u00a0integers\u00a0<em>t<\/em><sub>1<\/sub>,\u2009<em>t<\/em><sub>2<\/sub>,\u2009&#8230;,\u2009<em>t<\/em><sub><em>n<\/em><\/sub>\u00a0(1\u2009\u2264\u2009<em>t<\/em><sub><em>i<\/em><\/sub>\u2009\u2264\u20093), where\u00a0<em>t<\/em><sub><em>i<\/em><\/sub>\u00a0describes the skill of the\u00a0<em>i<\/em>-th child.<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Output<\/strong><\/p>\n\n\n\n<p>In the first line output integer&nbsp;<em>w<\/em>&nbsp;\u2014 the largest possible number of teams.<\/p>\n\n\n\n<p>Then print&nbsp;<em>w<\/em>&nbsp;lines, containing three numbers in each line. Each triple represents the indexes of the children forming the team. You can print both the teams, and the numbers in the triplets in any order. The children are numbered from&nbsp;1&nbsp;to&nbsp;<em>n<\/em>&nbsp;in the order of their appearance in the input. Each child must participate in no more than one team. If there are several solutions, print any of them.<\/p>\n\n\n\n<p>If no teams can be compiled, print the only line with value\u00a0<em>w<\/em>\u00a0equal to 0.<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Examples<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-border-color has-palette-color-4-border-color has-fixed-layout\"><tbody><tr><td>Input<\/td><td>7<br>1 3 1 3 2 1 2<\/td><\/tr><tr><td>Output<\/td><td>2<br>3 5 2<br>6 7 4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-border-color has-palette-color-4-border-color has-fixed-layout\"><tbody><tr><td>Input<\/td><td>4<br>2 1 1 2<\/td><\/tr><tr><td>Output<\/td><td>0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"solution\"><\/span><strong>Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>We can use three List collections to store the indices of children based on their skills.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"c-solution\"><\/span><strong>C# Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>Solution1<\/strong><\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism undefined-numbers lang-csharp\" data-lang=\"C#\"><code>List&lt;int&gt;programming = new List&lt;int&gt;();\nList&lt;int&gt;math = new List&lt;int&gt;();\nList&lt;int&gt;pe = new List&lt;int&gt;();\n\nint n = int.Parse(Console.ReadLine());\nint[] arr = Console.ReadLine().Split(&#39; &#39;).Select(int.Parse).ToArray();\n\nfor(int i=0; i&lt;arr.Length; i++){\n    int item = arr[i];\n    if(item == 1){\n        programming.Add(i+1);   \n    }\n    else if(item ==2){\n        math.Add(i+1);\n    }\n    else{\n        pe.Add(i+1);\n    }\n}\n\nint min = Math.Min(programming.Count,math.Count);\nmin = Math.Min(min,pe.Count);\n\nConsole.WriteLine(min);\n\nfor(int j=0; j&lt;min; j++){\n    string res = $&quot;{programming[j]} {math[j]} {pe[j]}&quot;;\n    Console.WriteLine(res);\n}<\/code><\/pre><\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<ins class=\"klk-aff-widget\"  data-adid=\"833277\" data-lang=\"\" data-currency=\"\" data-cardH=\"126\" data-padding=\"92\" data-lgH=\"470\" data-edgeValue=\"655\" data-cid=\"-1\" data-tid=\"-1\" data-amount=\"4\" data-prod=\"dynamic_widget\"><a href=\"\/\/www.klook.com\/\">Klook.com<\/a><\/ins>\n<script type=\"text\/javascript\">\n  (function (d, sc, u) {\n    var s = d.createElement(sc),\n      p = d.getElementsByTagName(sc)[0];\n    s.type = \"text\/javascript\";\n    s.async = true;\n    s.src = u;\n    p.parentNode.insertBefore(s, p);\n  })(\n    document,\n    \"script\",\n    \"https:\/\/affiliate.klook.com\/widget\/fetch-iframe-init.js\"\n  );\n<\/script>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"tw-target-text\"><span class=\"ez-toc-section\" id=\"conclusion\"><\/span><strong>Conclusion<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-medium-font-size\">\ud83e\udde1<strong>If my solution helps, that is my honor!<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">\ud83e\udde1<strong>You can support me by sharing my posts, thanks you~~<\/strong><\/p>\n\n\n\n<p><strong>\u2705If you got any problem about the explanation or you need other programming language solution, please feel free to let me know !!<\/strong><\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>The problem link :<\/strong> <a href=\"https:\/\/codeforces.com\/problemset\/problem\/490\/A\" target=\"_blank\" rel=\"noreferrer noopener\">Problem &#8211; 490A &#8211; Codeforces<\/a><\/p>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Some Random Codeforces Posts<\/strong><\/p>\n\n\n\n\t\t\t<div class=\"wp-block-uagb-post-grid uagb-post-grid  uagb-post__image-position-top uagb-post__image-disabled uagb-block-613bccac     uagb-post__items uagb-post__columns-3 is-grid uagb-post__columns-tablet-2 uagb-post__columns-mobile-1 uagb-post__equal-height\" data-total=\"30\" style=\"\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-546b-soldier-and-badges-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Codeforces 546B Soldier and Badges Solution &amp; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2024-04-06T23:33:53+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2024-04-06\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-546b-soldier-and-badges-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/coding-note\/how-to-list-all-available-python-versions-on-windows\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">How to List All Available Python Versions on Windows<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2023-09-14T22:42:30+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2023-09-14\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/coding-note\/how-to-list-all-available-python-versions-on-windows\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-266a-stones-on-the-table-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Codeforces 266A Stones on the Table Solution &amp; 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Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2023-12-01T22:29:22+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2023-12-01\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-1030a-in-search-of-an-easy-problem-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"uagb-post-pagination-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t","protected":false},"excerpt":{"rendered":"<p>Assist in forming teams of children based on their programming, math, and physical education skills efficiently.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","footnotes":""},"categories":[269],"tags":[],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Codeforces 490A Team Olympiad Solution &amp; 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