{"id":2674,"date":"2021-06-05T17:35:18","date_gmt":"2021-06-05T12:05:18","guid":{"rendered":"https:\/\/www.codingbroz.com\/?p=2674"},"modified":"2021-06-05T17:35:24","modified_gmt":"2021-06-05T12:05:24","slug":"sums-in-triangle-codechef-solution","status":"publish","type":"post","link":"https:\/\/www.codingbroz.com\/sums-in-triangle-codechef-solution\/","title":{"rendered":"Sums in a Triangle | CodeChef Solution"},"content":{"rendered":"\n<p>Hello coders, today we are going to solve <strong>Sums in a Triangle CodeChef Solution<\/strong> whose Problem Code is <strong>SUMTRIAN<\/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\/sums-in-a-triangle-codechef-solution-codingbroz.png\" alt=\"Sums in a Triangle\" class=\"wp-image-2678\" srcset=\"https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/sums-in-a-triangle-codechef-solution-codingbroz.png 1200w, https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/sums-in-a-triangle-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_65 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<label for=\"ez-toc-cssicon-toggle-item-662d8a95bcea6\" 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-662d8a95bcea6\" 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\/sums-in-triangle-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\/sums-in-triangle-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\/sums-in-triangle-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\/sums-in-triangle-codechef-solution\/#Solution_%E2%80%93_Sums_in_a_Triangle_CodeChef_Solution\" title=\"Solution &#8211; Sums in a Triangle | CodeChef Solution\">Solution &#8211; Sums in a Triangle | CodeChef Solution<\/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\/sums-in-triangle-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\/sums-in-triangle-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\/sums-in-triangle-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>Let&#8217;s consider a triangle of numbers in which a number appears in the first line, two numbers appear in the second line, three in the third line, etc. Develop a program which will compute the largest of the sums of numbers that appear on the paths starting from the top towards the base, so that:<\/p>\n\n\n\n<ul><li>on each path the next number is located on the row below, more precisely either directly below or below and one place to the right;<\/li><li>the number of rows is strictly positive, but less than 100<\/li><li>all numbers are positive integers between 0 and 99.<\/li><\/ul>\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>In the first line integer n &#8211; the number of test cases (equal to about 1000). Then n test cases follow. Each test case starts with the number of lines which is followed by their content.<\/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 write the determined value in a separate line.<\/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>2\r\n3\r\n1\r\n2 1\r\n1 2 3\r\n4 \r\n1 \r\n1 2 \r\n4 1 2\r\n2 3 1 1 <\/code><\/pre>\n\n\n\n<p><strong>Sample Output<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>5\r\n9<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solution_%E2%80%93_Sums_in_a_Triangle_CodeChef_Solution\"><\/span><strong>Solution &#8211; Sums in a Triangle | CodeChef Solution<\/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>\nusing namespace std;\nint main(){\n    int i,j,t,n;\n    cin>>t;\n    while(t--){\n        cin>>n;\n        int a[n][n];\n        for(int i=0;i&lt;n;i++){\n            for(j=0;j&lt;=i;j++){\n                cin>>a[i][j];\n            }\n        }\n        for(int i=n-2;i>=0;i--){\n            for(j=0;j&lt;=i;j++){\n                if((a[i][j]+a[i+1][j])>(a[i][j]+a[i+1][j+1]))\n                        a[i][j]=a[i][j]+a[i+1][j];\n                else\n                    a[i][j]=a[i][j]+a[i+1][j+1];\n\n            }\n        }\n        cout&lt;&lt;a[0][0]&lt;&lt;endl;\n    }\n       return 0;\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=\"\">#Solution Provided by CodingBroz \nT = int(input())\nfor i in range(T):\n    l = []\n    m = int(input())\n    for j in range(m):\n        n = list(map(int, input().split()))\n        l.append(n)\n        \n    for j in range(m - 2, -1, -1):\n        for k in range(0, j+1):\n            l[j][k] += max(l[j+1][k], l[j+1][k+1])\n    print(l[0][0])\n    \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\tpublic static void main (String[] args) throws java.lang.Exception\n\t{\n\t\t\/\/ your code goes here\n\t\tScanner sc = new Scanner(System.in);\n\t\tint testcases = sc.nextInt();\n\t\tfor(int i=0;i&lt;testcases;i++)\n\t\t{\n\t\t    int rows = sc.nextInt();\n\t\t    int sum=0;\n\t\t    int triangle[][] = new int[rows][rows];\n\t\t    for(int j=0;j&lt;rows;j++)\n\t\t        for(int k=0;k&lt;=j;k++)\n\t\t            triangle[j][k]=sc.nextInt();\n\t\t    for(int j=rows-2;j>=0;j--)\n\t\t    {\n\t\t        for(int k=0;k&lt;=j;k++)\n\t\t        {\n\t\t            triangle[j][k]+= Math.max(triangle[j+1][k],triangle[j+1][k+1]);\n\t\t        }\n\t\t    }\n\t\t    System.out.println(triangle[0][0]);\n\t\t}\n\t}\n}\n<\/pre>\n\n\n\n<p><strong>Disclaimer: <\/strong>The above Problem <strong>(<a href=\"https:\/\/www.codechef.com\/problems\/SUMTRIAN\" target=\"_blank\" rel=\"noreferrer noopener\">Sums in a Triangle<\/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 Sums in a Triangle CodeChef Solution whose Problem Code is SUMTRIAN.<\/p>\n","protected":false},"author":1,"featured_media":2678,"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":[56],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.codingbroz.com\/wp-content\/uploads\/2021\/06\/sums-in-a-triangle-codechef-solution-codingbroz.png","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts\/2674"}],"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=2674"}],"version-history":[{"count":2,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts\/2674\/revisions"}],"predecessor-version":[{"id":2679,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/posts\/2674\/revisions\/2679"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/media\/2678"}],"wp:attachment":[{"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/media?parent=2674"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/categories?post=2674"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.codingbroz.com\/wp-json\/wp\/v2\/tags?post=2674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}