{"id":35680,"date":"2023-12-01T05:12:02","date_gmt":"2023-12-01T05:12:02","guid":{"rendered":"https:\/\/accuweb.cloud\/resource\/faq\/merge-sort-algorithm-java-c-and-python-implementation\/"},"modified":"2026-02-19T11:23:25","modified_gmt":"2026-02-19T11:23:25","slug":"merge-sort-algorithm-java-c-and-python-implementation","status":"publish","type":"faq","link":"https:\/\/accuweb.cloud\/resource\/articles\/merge-sort-algorithm-java-c-and-python-implementation","title":{"rendered":"Merge Sort Algorithm &#8211; Java, C, and Python Implementation"},"content":{"rendered":"<h2 class=\"ack-h2\">Merge Sort Algorithm &#8211; Java, C, and Python Implementation<\/h2>\n<p>Merge sort is a sorting algorithm that divides a list into two halves, sorts each half recursively, and then merges the two sorted halves. This process is repeated until the entire list is sorted.<\/p>\n<p>The merge sort algorithm is based on the divide and conquer paradigm. This means that the problem of sorting a list is divided into smaller and smaller subproblems until they are trivial to solve. The solutions to the subproblems are then combined to form the solution to the original problem.<br \/>\nThe merge sort algorithm is a stable sorting algorithm. It means the order of elements with equal values is preserved in the sorted list.<\/p>\n<p>The merge sort algorithm is efficient. Its worst-case time complexity is O(n log n), where n is the number of elements in the list.<\/p>\n<p>Here is an example of how the merge sort algorithm works:<\/p>\n<p><a href=\"https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF.png\"><img fetchpriority=\"high\" decoding=\"async\" class=\"ack-article-image aligncenter wp-image-31993 size-full\" title=\"Merge Sort Algorithm\" src=\"https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF.png\" alt=\"Merge Sort Algorithm\" width=\"1200\" height=\"1155\" srcset=\"https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF.png 1200w, https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF-300x289.png 300w, https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF-1024x986.png 1024w, https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF-768x739.png 768w, https:\/\/accuweb.cloud\/resource\/wp-content\/uploads\/2023\/10\/a7QvNl1o6cwYBJSxqNgo8vMumNM9TQ3c8Obvu0TF-600x578.png 600w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/a><\/p>\n<h2 class=\"ack-h2\">Merge Sort Algorithm in Python<\/h2>\n<p><a class=\"ack-link-color\" href=\"https:\/\/accuweb.cloud\/application\/python-hosting\">Check our developer-friendly Python Hosting!<\/a><\/p>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">def merge_sort(arr):\r\n\tif len(arr) &lt;= 1:\r\n\treturn arr\r\n\t# Split the input array into two halves\r\n\tmid = len(arr) \/\/ 2\r\n\tleft_half = arr[:mid]\r\n\tright_half = arr[mid:]\r\n\t#\u00a0Recursively sort both halves\r\n\tleft_half = merge_sort(left_half)\r\n\tright_half = merge_sort(right_half)\r\n\t# Merge the sorted halves\r\n\treturn merge(left_half, right_half)\r\n\tdef merge(left, right):\r\n\tresult = []\r\n\tleft_idx, right_idx = 0, 0\r\n\twhile left_idx &lt; len(left) and right_idx &lt; len(right):\r\n\tif left[left_idx] &lt; right[right_idx]:\r\n\tresult.append(left[left_idx])\r\n\tleft_idx += 1\r\n\telse:\r\n\tresult.append(right[right_idx])\r\n\tright_idx += 1\r\n\t# Append the remaining elements (if any)\r\n\tresult.extend(left[left_idx:])\r\n\tresult.extend(right[right_idx:])\r\n\treturn result\r\n\t# Example usage with changed variable names\r\n\tif __name__ == \"__main__\":\r\n\tinput_array = [120, 110, 130, 50, 60, 70]\r\n\tprint(\"Original array:\")\r\n\tprint(input_array)\r\n\tsorted_array = merge_sort(input_array)\r\n\tprint(\"Sorted array:\")\r\n\tprint(sorted_array)<\/code><\/pre>\n<h3 class=\"ack-h3\">Output<\/h3>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">Original array:\r\n\r\n\t120 110 130 50 60 70\r\nSorted array\r\n50 60 70 110 120 130<\/code><\/pre>\n<div class=\"article-extra-space\"><\/div>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"38668\" class=\"elementor elementor-38668\" data-elementor-settings=\"{&quot;ha_cmc_init_switcher&quot;:&quot;no&quot;}\" data-elementor-post-type=\"elementor_library\">\n\t\t\t        <section class=\"elementor-section elementor-top-section elementor-element elementor-element-882321f elementor-section-boxed elementor-section-height-default elementor-section-height-default ct-header-fixed-none ct-row-max-none\" data-id=\"882321f\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n            \n                        <div class=\"elementor-container elementor-column-gap-default \">\n                    <div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7cc79cc\" data-id=\"7cc79cc\" data-element_type=\"column\">\n        <div class=\"elementor-widget-wrap elementor-element-populated\">\n                    \n        \t\t<div class=\"elementor-element elementor-element-e31b40f elementor-widget elementor-widget-shortcode\" data-id=\"e31b40f\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t            <\/div>\n        <\/div>\n                    <\/div>\n        <\/section>\n        \t\t<\/div>\n\t\t\n<div class=\"article-space\"><\/div>\n<h2 class=\"ack-h2\">Merge Sort Algorithm in Java Code<\/h2>\n<p><a class=\"ack-link-color\" href=\"https:\/\/accuweb.cloud\/application\/java-hosting\">Check our Containerized Java Hosting Services!<\/a><\/p>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">import java.util.Arrays;\r\npublic class MergeSort {\r\npublic static void mergeSort(int[] array) {\r\n   if (array == null || array.length &lt;= 1) {\r\n   return;\r\n}\r\nint middle = array.length \/ 2;\r\n\/\/ Create two subarrays\r\nint[] leftSubarray = new int[middle];\r\nint[] rightSubarray = new int[array.length - middle];\r\n\/\/ Populate the left and right subarrays\r\nfor (int i = 0; i &lt; middle; i++) {\r\nleftSubarray[i] = array[i];\r\n}\r\n\tfor (int i = middle; i &lt; array.length; i++) {\r\n\trightSubarray[i - middle] = array[i];\r\n}\r\n\/\/ Recursively sort the subarrays\r\nmergeSort(leftSubarray);\r\nmergeSort(rightSubarray);\r\n\/\/ Merge the sorted subarrays\r\nmerge(array, leftSubarray, rightSubarray);\r\n}\r\nprivate static void merge(int[] array, int[] leftSubarray, int[] rightSubarray) {\r\nint i = 0;\u00a0\/\/ Index for the left subarray\r\nint j = 0;\u00a0\/\/ Index for the right subarray\r\nint k = 0;\u00a0\/\/ Index for the merged array\r\nwhile (i &lt; leftSubarray.length &amp;&amp; j &lt; rightSubarray.length) {\r\nif (leftSubarray[i] &lt; rightSubarray[j]) {\r\narray[k++] = leftSubarray[i++];\r\n} else {\r\narray[k++] = rightSubarray[j++];\r\n}\r\n}\r\n\/\/ Copy any remaining elements from leftSubarray and rightSubarray\r\nwhile (i &lt; leftSubarray.length) {\r\narray[k++] = leftSubarray[i++];\r\n}\r\nwhile (j &lt; rightSubarray.length) {\r\narray[k++] = rightSubarray[j++];\r\n}\r\n}\r\npublic static void main(String[] args) {\r\nint[] array = {120, 110, 130, 50, 60, 70};\r\nSystem.out.println(\"Original array: \" + Arrays.toString(array));\r\nmergeSort(array);\r\nSystem.out.println(\"Sorted array: \" + Arrays.toString(array));\r\n}\r\n}<\/code><\/pre>\n<div class=\"article-space\"><\/div>\n<h3 class=\"ack-h3\">Output<\/h3>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">Original array: 120 110 130 50 60 70\r\nSorted array 50 60 70 110 120 130<\/code><\/pre>\n<div class=\"article-space\"><\/div>\n<h2 class=\"ack-h2\">Merge Sort Algorithm in C<\/h2>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">#include &lt;stdio.h&gt;\r\nvoid merge(int arr[], int left, int mid, int right) {\r\nint i, j, k;\r\nint n1 = mid - left + 1;\r\nint n2 = right - mid;\r\nint leftSubarray[n1];\r\nint rightSubarray[n2];\r\nfor (i = 0; i &lt; n1; i++)\r\nleftSubarray[i] = arr[left + i];\r\nfor (j = 0; j &lt; n2; j++)\r\nrightSubarray[j] = arr[mid + 1 + j];\r\ni = 0;\r\nj = 0;\r\nk = left;\r\nwhile (i &lt; n1 &amp;&amp; j &lt; n2) {\r\nif (leftSubarray[i] &lt;= rightSubarray[j]) {\r\narr[k] = leftSubarray[i];\r\ni++;\r\n} else {\r\narr[k] = rightSubarray[j];\r\nj++;\r\n}\r\nk++;\r\n}\r\nwhile (i &lt; n1) {\r\narr[k] = leftSubarray[i];\r\ni++;\r\nk++;\r\n}\r\nwhile (j &lt; n2) {\r\narr[k] = rightSubarray[j];\r\nj++;\r\nk++;\r\n}\r\n}\r\nvoid mergeSort(int arr[], int left, int right) {\r\nif (left &lt; right) {\r\nint mid = left + (right - left) \/ 2;\r\nmergeSort(arr, left, mid);\r\nmergeSort(arr, mid + 1, right);\r\nmerge(arr, left, mid, right);\r\n}\r\n}\r\nint main() {\r\nint arr[] = {120, 110, 130, 50, 60, 70};\r\nint arr_size = sizeof(arr) \/ sizeof(arr[0]);\r\nprintf(\"Original array: n\");\r\nfor (int i = 0; i &lt; arr_size; i++) {\r\nprintf(\"%d \", arr[i]);\r\n}\r\nprintf(\"n\");\r\nmergeSort(arr, 0, arr_size - 1);\r\nprintf(\"Sorted array: n\");\r\nfor (int i = 0; i &lt; arr_size; i++) {\r\nprintf(\"%d \", arr[i]);\r\n}\r\nprintf(\"n\");\r\nreturn 0;\r\n}\r\n<\/code><\/pre>\n<div class=\"article-space\"><\/div>\n<h3 class=\"ack-h3\">Output<\/h3>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">Original array:\r\n120 110 130 50 60 70\r\nSorted array\r\n50 60 70 110 120 130<\/code><\/pre>\n<div class=\"article-space\"><\/div>\n<div class=\"cta-btn-top-space ack-extra-image-space\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"38668\" class=\"elementor elementor-38668\" data-elementor-settings=\"{&quot;ha_cmc_init_switcher&quot;:&quot;no&quot;}\" data-elementor-post-type=\"elementor_library\">\n\t\t\t        <section class=\"elementor-section elementor-top-section elementor-element elementor-element-882321f elementor-section-boxed elementor-section-height-default elementor-section-height-default ct-header-fixed-none ct-row-max-none\" data-id=\"882321f\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n            \n                        <div class=\"elementor-container elementor-column-gap-default \">\n                    <div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7cc79cc\" data-id=\"7cc79cc\" data-element_type=\"column\">\n        <div class=\"elementor-widget-wrap elementor-element-populated\">\n                    \n        \t\t<div class=\"elementor-element elementor-element-e31b40f elementor-widget elementor-widget-shortcode\" data-id=\"e31b40f\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t            <\/div>\n        <\/div>\n                    <\/div>\n        <\/section>\n        \t\t<\/div>\n\t\t<\/div>\n<div class=\"cta-btn-bottom-space\"><\/div>\n<h2 class=\"ack-h2\">Merge Sort Complexity<\/h2>\n<div class=\"article-space\"><\/div>\n<pre><code class=\"language-javascript\">-&gt; Time Complexity\r\n* Best - O(n*log n)\r\n* Average - O(n*log n)\r\n* Worst - O(n*log n)\r\n&gt; Space Complexity - O(n)\r\n<\/code><\/pre>\n<div class=\"article-space\"><\/div>\n<h3 class=\"ack-h3\">Explanation<\/h3>\n<ul class=\"ack-ul\">\n<li><strong>&#8220;Best Case&#8221;<\/strong> represents the minimum time an algorithm takes when given the most favorable input.<\/li>\n<li><strong>&#8220;Average Case&#8221;<\/strong> represents an algorithm&#8217;s expected time when given a typical\/random input.<\/li>\n<li><strong>&#8220;Worst Case&#8221;<\/strong> represents the maximum time an algorithm takes when given the most unfavorable input.<\/li>\n<li><strong>&#8220;Space complexity&#8221;<\/strong> The algorithm&#8217;s memory usage is directly proportional to the input size &#8220;n.&#8221; It means that the algorithm consumes more memory as the input data grows, but this growth is linear, not exponential.<\/li>\n<\/ul>\n<p><a class=\"ack-link-color\" href=\"https:\/\/accuweb.cloud\/register\">Register and get Auto Scalable instances with a Pay-As-You-Go Pricing Model!<\/a><\/p>\n<h2 class=\"ack-h2\">Conclusion<\/h2>\n<p>Merge Sort is a highly efficient and stable sorting algorithm known for its consistent O(n*log n) time complexity in all cases (best, average, and worst). It divides the input into smaller segments, sorts them, and then combines them, ensuring reliable and predictable performance for large datasets. However, it requires additional memory for merging, which may be considered in constrained environments<\/p>\n","protected":false},"author":1,"featured_media":52879,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-35680","faq","type-faq","status-publish","has-post-thumbnail","hentry","faq_topics-c-programming","faq_topics-kb","faq_topics-product-documentation","faq_topics-tutorial-series","faq_topics-tutorials"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.10 (Yoast SEO v24.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Merge Sort Algorithm - Java, C, and Python Implementation - AccuWeb Cloud<\/title>\n<meta name=\"description\" content=\"Explore efficient Merge Sort algorithm implementations in Java, C, and Python. 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