{"id":7132,"date":"2022-01-19T11:59:43","date_gmt":"2022-01-19T06:29:43","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=7132"},"modified":"2025-12-21T10:10:32","modified_gmt":"2025-12-21T04:40:32","slug":"what-is-merge-sort","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-is-merge-sort\/","title":{"rendered":"What is Merge sort?"},"content":{"rendered":"\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Merge_sort\" target=\"_blank\" rel=\"noreferrer noopener\">Merge Sort<\/a> is based on a divide and conquer strategy. It divides the unsorted list into n sublists such that each sublist contains one element. Each sublist is then sorted and merged until there is only one sublist.&nbsp;<\/p>\n\n\n\n<p>&nbsp;Step1 : Divide the list into sublists such that each sublist contains only one element.<\/p>\n\n\n\n<p>&nbsp;Step2 : Sort each sublist and Merge them.<\/p>\n\n\n\n<p>&nbsp;Step3 : Repeat Step 2 till the entire list is sorted.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Algorithm for Merge Sort:<\/strong><\/h2>\n\n\n\n<p>&nbsp;Let&nbsp; &nbsp; x = no. of elements in array A<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;y = no. of elements in array B<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;C = sorted array with no. of elements n<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;n = x+y<\/p>\n\n\n\n<p>Following algorithm merges a sorted x element array A and sorted y element array B into a sorted array C, with n = x + y elements. We must always keep track of the locations of the smallest element of A and the smallest element of B which have not yet been placed in C. Let LA and LB denote these locations, respectively. Also, let LC denote the location in C to be filled. Thus, initially, we set&nbsp;<\/p>\n\n\n\n<p>&nbsp;LA : = 1,&nbsp;<\/p>\n\n\n\n<p>&nbsp;LB : = 1 and&nbsp;<\/p>\n\n\n\n<p>&nbsp;LC : = 1.&nbsp;<\/p>\n\n\n\n<p>&nbsp;At each step , we compare A[LA] and B[LB] and assign the smaller element to C[LC].&nbsp;<\/p>\n\n\n\n<p>&nbsp;Then&nbsp;&nbsp;<\/p>\n\n\n\n<p>&nbsp;LC:= LC + 1,<\/p>\n\n\n\n<p>&nbsp;LA: = LA + 1, if a new element has come from A .&nbsp;<\/p>\n\n\n\n<p>&nbsp;LB: = LB + 1, if a new element has come from B.&nbsp;<\/p>\n\n\n\n<p>&nbsp;Furthermore, if LA&gt; x, then the remaining elements of B are assigned to C;&nbsp;&nbsp;<\/p>\n\n\n\n<p>&nbsp;&nbsp;LB &gt;y, then the remaining <a href=\"https:\/\/brixtonwintercarnival.com\/media\/\" style=\"color: #000000; text-decoration: none;\">https:\/\/brixtonwintercarnival.com\/media\/<\/a> elements of A are assigned to C.&nbsp;<\/p>\n\n\n\n<p>Thus the algorithm becomes<\/p>\n\n\n\n<p>&nbsp;MERGING ( A, x, B, y, C)<\/p>\n\n\n\n<p>&nbsp;1. [Initialize ] Set LA : = 1 , LB := 1 AND LC : = 1<\/p>\n\n\n\n<p>&nbsp;2. [Compare] Repeat while LA &lt;= x and LB &lt;= y<\/p>\n\n\n\n<p>&nbsp;If A[LA] &lt; B[LB] , then<\/p>\n\n\n\n<p>&nbsp;(a) [Assign element from A to C ] set C[LC] = A[LA]<\/p>\n\n\n\n<p>&nbsp;(b) [Update pointers ] Set LC := LC +1 and LA = LA+1<\/p>\n\n\n\n<p>&nbsp;Else<\/p>\n\n\n\n<p>&nbsp;(a) [Assign element from B to C] Set C[LC] = B[LB]<\/p>\n\n\n\n<p>&nbsp;(b) [Update Pointers] Set LC := LC +1 and LB = LB +1<\/p>\n\n\n\n<p>&nbsp;[End of loop]<\/p>\n\n\n\n<p>&nbsp;3. [Assign remaining elements to C]<\/p>\n\n\n\n<p>&nbsp;If LA &gt; x , then<\/p>\n\n\n\n<p>&nbsp;Repeat for K= 0 ,1,2,&#8230;&#8230;..,y\u2013LB<\/p>\n\n\n\n<p>&nbsp;Set C[LC+K] = B[LB+K]<\/p>\n\n\n\n<p>&nbsp;[End of loop]<\/p>\n\n\n\n<p>&nbsp;Else<\/p>\n\n\n\n<p>&nbsp;Repeat for K = 0,1,2,&#8230;&#8230;,x\u2013LA<\/p>\n\n\n\n<p>&nbsp;Set C[LC+K] = A[LA+K]<\/p>\n\n\n\n<p>&nbsp;[End of loop]<\/p>\n\n\n\n<p>&nbsp;4. Exit<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Interested in learning about similar topics? Here are a few hand-picked blogs for you!<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-data-structure\/\" target=\"_blank\" rel=\"noreferrer noopener\">What is data structure?<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-a-computer-processor\/\" target=\"_blank\" rel=\"noreferrer noopener\">Explain computer processor?<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-memory\" target=\"_blank\" rel=\"noreferrer noopener\">What is Memory?<\/a> <a href=\"https:\/\/adminpg.foreigners.bu.edu.eg\/\">https:\/\/adminpg.foreigners.bu.edu.eg\/<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-a-computer\" target=\"_blank\" rel=\"noreferrer noopener\">What is Computer?<\/a><\/li>\n<\/ol>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>It divides the unsorted list into n sublists such that each sublist contains one element. <\/p>\n","protected":false},"author":28,"featured_media":7133,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[36],"tags":[],"class_list":["post-7132","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computer-science-software-engineering-blog"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is Merge sort? - Goseeko blog<\/title>\n<meta name=\"description\" content=\"Merge Sort is based on a divide and conquer strategy. 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