{"id":3044,"date":"2021-06-09T20:45:41","date_gmt":"2021-06-09T15:15:41","guid":{"rendered":"https:\/\/www.codingbroz.com\/?p=3044"},"modified":"2021-06-09T20:45:49","modified_gmt":"2021-06-09T15:15:49","slug":"bytelandian-gold-coin-codechef-solution","status":"publish","type":"post","link":"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/","title":{"rendered":"Bytelandian Gold Coins | CodeChef Solution"},"content":{"rendered":"\n<p>Hello coders, today we are going to solve <strong>Bytelandian Gold Coins CodeChef Solution<\/strong> whose Problem Code is <strong>COINS<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1200\" height=\"675\" src=\"https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/bytelandian-gold-coins-codechef-solution-codingbroz.png\" alt=\"Bytelandian Gold Coins\" class=\"wp-image-3046\" srcset=\"https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/bytelandian-gold-coins-codechef-solution-codingbroz.png 1200w, https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/bytelandian-gold-coins-codechef-solution-codingbroz-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/figure>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_66_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<label for=\"ez-toc-cssicon-toggle-item-6646ee52bb5f8\" class=\"ez-toc-cssicon-toggle-label\"><label class=\"ez-toc-title\">Table of Contents<\/label>\n<span class=\"ez-toc-cssicon\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #0090ff;color:#0090ff\" 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: #0090ff;color:#0090ff\" 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><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-6646ee52bb5f8\" checked \/><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:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#Task\" title=\"Task\">Task<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#Input_Format\" title=\"Input Format\">Input Format<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#Output_Format\" title=\"Output Format\">Output Format<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#Solution_%E2%80%93_Bytelandian_Gold_Coins\" title=\"Solution &#8211; Bytelandian Gold Coins\">Solution &#8211; Bytelandian Gold Coins<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#C\" title=\"C++\">C++<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#Python\" title=\"Python\">Python<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.codingbroz.com\/bytelandian-gold-coin-codechef-solution\/#Java\" title=\"Java\">Java<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Task\"><\/span><strong>Task<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In Byteland they have a very strange monetary system.<\/p>\n\n\n\n<p>Each Bytelandian gold coin has an integer number written on it. A coin n can be exchanged in a bank into three coins: n\/2, n\/3 and n\/4. But these numbers are all rounded down (the banks have to make a profit).<\/p>\n\n\n\n<p>You can also sell Bytelandian coins for American dollars. The exchange rate is 1:1. But you can not buy Bytelandian coins.<\/p>\n\n\n\n<p>You have one gold coin. What is the maximum amount of American dollars you can get for it?<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Input_Format\"><\/span><strong>Input Format<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The input will contain several test cases (not more than 10). Each testcase is a single line with a number n, 0 &lt;= n &lt;= 1 000 000 000. It is the number written on your coin.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Output_Format\"><\/span><strong>Output Format<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>For each test case output a single line, containing the maximum amount of American dollars you can make.<\/p>\n\n\n\n<p><strong>Example<\/strong><\/p>\n\n\n\n<p><strong>Sample Input<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>12\r\n2<\/code><\/pre>\n\n\n\n<p><strong>Sample Output<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>13\r\n2<\/code><\/pre>\n\n\n\n<p><strong>Explanation<\/strong><\/p>\n\n\n\n<p>You can change 12 into 6, 4 and 3, and then change these into\u00a06+4+3=13. If you try changing the coin 2 into 3 smaller coins, you will get 1, 0 and 0, and later you can get no more than\u00a01\u00a0out of them. It is better just to change the\u00a02\u00a0coin directly into\u00a02.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solution_%E2%80%93_Bytelandian_Gold_Coins\"><\/span><strong>Solution &#8211; Bytelandian Gold Coins<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"C\"><\/span><strong>C++<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include&lt;bits\/stdc++.h>\n#define ll long long\nusing namespace std;\n\nunordered_map&lt;ll, ll> mp;\n\nll solve(ll n) {\n    if(n&lt;2) {\n        return n;\n    }\n\n    if(mp.count(n)) {\n        return mp[n];\n    }\n    \n    mp[n] = max(n, solve(n\/2)+solve(n\/3)+solve(n\/4));\n\n    return mp[n];\n}\n\nint main() {\n    ll n;\n    while(cin>>n)\n        cout&lt;&lt;solve(n)&lt;&lt;'\\n';\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Python\"><\/span><strong>Python<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\"># cook your dish her\ndp={0:0,1:1,2:2,3:3,4:4}\n    \nwhile(True):\n    try:\n        n=int(input())\n        def solve(n,dp):\n            if(n in dp):\n                return dp[n] \n            else:\n                out=max(n,solve(n\/\/2,dp)+solve(n\/\/3,dp)+solve(n\/\/4,dp))\n                dp[n]=out\n                return out\n                \n        (solve(n,dp))\n        print(dp[n])\n    except:\n        break\n    <\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Java\"><\/span><strong>Java<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\/* package codechef; \/\/ don't place package name! *\/\n\nimport java.util.*;\nimport java.lang.*;\nimport java.io.*;\n\n\/* Name of the class has to be \"Main\" only if the class is public. *\/\nclass Codechef\n{\n     public static void main(String[] args) {\n        final HashMap&lt;Long,Long> map = new HashMap();\n        Scanner sc = new Scanner(System.in);\n\n        while (sc.hasNextLong()) {\n            long N = sc.nextLong();\n            long max = find_max(N, map);\n            System.out.println(max);\n        }\n    }\n\n    static long find_max (long n, Map&lt;Long,Long> map)\n    {\n        if(n ==0|| n==1) return n;\n        if(map.containsKey(n)) return map.get(n);\n        long max = Math.max(n, find_max(n\/2,map) + find_max(n\/3,map) + find_max(n\/4,map));\n        if(n&lt;10000) map.put(n,max);\n        return max;\n    }\n    \n}\n<\/pre>\n\n\n\n<p><strong>Disclaimer:<\/strong> The above Problem <strong>(<a href=\"https:\/\/www.codechef.com\/problems\/COINS\" target=\"_blank\" rel=\"noreferrer noopener\">Bytelandian Gold Coins<\/a>) <\/strong>is generated by <strong>CodeChef<\/strong> but the Solution is Provided by <strong>CodingBroz<\/strong>. This tutorial is only for <strong>Educational<\/strong> and <strong>Learning<\/strong> Purpose.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hello coders, today we are going to solve Bytelandian Gold Coins CodeChef Solution whose Problem Code is COINS.<\/p>\n","protected":false},"author":1,"featured_media":3046,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[54],"tags":[55,186,192,137,56],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/bytelandian-gold-coins-codechef-solution-codingbroz.png","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts\/3044"}],"collection":[{"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/comments?post=3044"}],"version-history":[{"count":2,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts\/3044\/revisions"}],"predecessor-version":[{"id":3047,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts\/3044\/revisions\/3047"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/media\/3046"}],"wp:attachment":[{"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/media?parent=3044"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/categories?post=3044"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/tags?post=3044"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}