{"id":216,"date":"2025-05-29T13:19:13","date_gmt":"2025-05-29T07:49:13","guid":{"rendered":"https:\/\/codeanddebug.in\/blog\/?p=216"},"modified":"2025-05-29T13:19:29","modified_gmt":"2025-05-29T07:49:29","slug":"bubble-sort-algorithm-in-python","status":"publish","type":"post","link":"https:\/\/codeanddebug.in\/blog\/bubble-sort-algorithm-in-python\/","title":{"rendered":"Bubble Sort Algorithm in Python | Explained in Depth"},"content":{"rendered":"\n<p>Hi everyone! In this article, we&#8217;ll help you solve &amp; understand bubble sort algorithm in Python like nowhere before. With it&#8217;s approach, code, explanation, dry run &amp; complexity analysis.<\/p>\n\n\n\n<p>So let&#8217;s begin with the [<strong><a href=\"https:\/\/www.geeksforgeeks.org\/problems\/bubble-sort\/1\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\"><span style=\"text-decoration: underline;\">Problem Link<\/span><\/mark><\/a><\/strong>].<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"0-problem-statement\">Problem Statement<\/h2>\n\n\n\n<p>Given an array, &#8220;arr[]&#8221;. Sort the array using bubble sort algorithm.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-examples\">Examples<\/h2>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#1E1E1E\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"Example 1:\n\n  Input: arr[] = [4, 1, 3, 9, 7]\n  Output: [1, 3, 4, 7, 9]\n\nExample 2:\n\n  Input: arr[] = [10, 9, 8, 7, 6, 5, 4, 3, 2, 1]\n  Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n\nExample 3:\n\n  Input: arr[] = [1, 2, 3, 4, 5]\n  Output: [1, 2, 3, 4, 5]\n  Explanation: An array that is already sorted should remain unchanged after applying bubble sort.\" style=\"color:#D4D4D4;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dark-plus\" style=\"background-color: #1E1E1E\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #D4D4D4\">Example <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">:<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Input: arr[] = [<\/span><span style=\"color: #B5CEA8\">4<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">9<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">7<\/span><span style=\"color: #D4D4D4\">]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Output: [<\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">4<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">7<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">9<\/span><span style=\"color: #D4D4D4\">]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">Example <\/span><span style=\"color: #B5CEA8\">2<\/span><span style=\"color: #D4D4D4\">:<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Input: arr[] = [<\/span><span style=\"color: #B5CEA8\">10<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">9<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">8<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">7<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">6<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">5<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">4<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">2<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Output: [<\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">2<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">4<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">5<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">6<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">7<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">8<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">9<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">10<\/span><span style=\"color: #D4D4D4\">]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">Example <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">:<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Input: arr[] = [<\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">2<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">4<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">5<\/span><span style=\"color: #D4D4D4\">]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Output: [<\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">2<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">3<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">4<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #B5CEA8\">5<\/span><span style=\"color: #D4D4D4\">]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">  Explanation: An array that <\/span><span style=\"color: #569CD6\">is<\/span><span style=\"color: #D4D4D4\"> already <\/span><span style=\"color: #DCDCAA\">sorted<\/span><span style=\"color: #D4D4D4\"> should remain unchanged after applying bubble sort.<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p><strong>Constraints:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 &lt;= arr.size() &lt;= 10<sup>3<\/sup><\/li>\n\n\n\n<li>1 &lt;= arr[i] &lt;= 10<sup>3<\/sup><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-approach-to-bubble-sort-algorithm-in-python\">Approach to Bubble Sort Algorithm in Python<\/h2>\n\n\n\n<p>The bubble sort algorithm works by repeatedly comparing adjacent elements in the array &amp; swapping them if they are in the wrong order.<\/p>\n\n\n\n<p>This process is repeated for every element. Ensuring that after each pass, the largest unsorted element is &#8220;bubbled&#8221; to its correct position. The algorithm continues until the array is sorted.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3-key-steps-in-the-approach\">Key Steps in the Approach:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Start with the first element and compare it with the next<\/li>\n\n\n\n<li>If the current element is greater than the next, swap them<\/li>\n\n\n\n<li>Move to the next pair of elements and repeat the process for the entire array<\/li>\n\n\n\n<li>After each pass, the largest unsorted element is placed at its correct position<\/li>\n\n\n\n<li>Reduce the range of comparison for subsequent passes as the largest elements are already sorted<\/li>\n\n\n\n<li>Repeat this process until no swaps are needed or the array is sorted<\/li>\n<\/ol>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><em>Also read about the <strong><a href=\"https:\/\/codeanddebug.in\/blog\/python-program-for-selection-sort-algorithm\/\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-purple-color\"><span style=\"text-decoration: underline;\">Python Program for Selection Sort Algorithm<\/span><\/mark><\/a><\/strong>.<\/em><\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-code\">Code<\/h2>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#1E1E1E\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"class Solution:\n\u00a0 \u00a0 # Function to sort the array using bubble sort algorithm.\n\u00a0 \u00a0 def bubbleSort(self, arr):\n\u00a0 \u00a0 \u00a0 \u00a0 n = len(arr)\n\u00a0 \u00a0 \u00a0 \u00a0 for i in range(n - 2, -1, -1):\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 for j in range(0, i + 1):\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 if arr[j] &gt; arr[j + 1]:\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 arr[j], arr[j + 1] = arr[j + 1], arr[j]\" style=\"color:#D4D4D4;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dark-plus\" style=\"background-color: #1E1E1E\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #569CD6\">class<\/span><span style=\"color: #D4D4D4\"> <\/span><span style=\"color: #4EC9B0\">Solution<\/span><span style=\"color: #D4D4D4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 <\/span><span style=\"color: #6A9955\"># Function to sort the array using bubble sort algorithm.<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 <\/span><span style=\"color: #569CD6\">def<\/span><span style=\"color: #D4D4D4\"> <\/span><span style=\"color: #DCDCAA\">bubbleSort<\/span><span style=\"color: #D4D4D4\">(<\/span><span style=\"color: #9CDCFE\">self<\/span><span style=\"color: #D4D4D4\">, <\/span><span style=\"color: #9CDCFE\">arr<\/span><span style=\"color: #D4D4D4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 \u00a0 \u00a0 n = <\/span><span style=\"color: #DCDCAA\">len<\/span><span style=\"color: #D4D4D4\">(arr)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 \u00a0 \u00a0 <\/span><span style=\"color: #C586C0\">for<\/span><span style=\"color: #D4D4D4\"> i <\/span><span style=\"color: #C586C0\">in<\/span><span style=\"color: #D4D4D4\"> <\/span><span style=\"color: #DCDCAA\">range<\/span><span style=\"color: #D4D4D4\">(n - <\/span><span style=\"color: #B5CEA8\">2<\/span><span style=\"color: #D4D4D4\">, -<\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">, -<\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/span><span style=\"color: #C586C0\">for<\/span><span style=\"color: #D4D4D4\"> j <\/span><span style=\"color: #C586C0\">in<\/span><span style=\"color: #D4D4D4\"> <\/span><span style=\"color: #DCDCAA\">range<\/span><span style=\"color: #D4D4D4\">(<\/span><span style=\"color: #B5CEA8\">0<\/span><span style=\"color: #D4D4D4\">, i + <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/span><span style=\"color: #C586C0\">if<\/span><span style=\"color: #D4D4D4\"> arr[j] &gt; arr[j + <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">]:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D4D4D4\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 arr[j], arr[j + <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">] = arr[j + <\/span><span style=\"color: #B5CEA8\">1<\/span><span style=\"color: #D4D4D4\">], arr[j]<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"5-code-explanation\">Code Explanation<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Class &amp; Function Definition:<\/strong>\n<ol class=\"wp-block-list\">\n<li>A class Solution is defined, which contains the method &#8220;bubbleSort&#8221;<\/li>\n\n\n\n<li>The function takes one parameter, &#8220;arr&#8221;, which is the array to be sorted<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li><strong>Initialization:<\/strong> n = len(arr): The length of the array is stored in the variable &#8220;n&#8221;<\/li>\n\n\n\n<li><strong>Outer Loop (<\/strong><strong>for i in range(n &#8211; 2, -1, -1)<\/strong><strong>):<\/strong>\n<ol class=\"wp-block-list\">\n<li>This loop controls the number of passes through the array<\/li>\n\n\n\n<li>It runs from n-2 to 0 (inclusive), ensuring that with each iteration, the unsorted portion of the array reduces by one<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li><strong>Inner Loop (<\/strong><strong>for j in range(0, i + 1)<\/strong><strong>):<\/strong>\n<ol class=\"wp-block-list\">\n<li>This loop iterates through the unsorted portion of the array<\/li>\n\n\n\n<li>&#8220;j&#8221; starts from the beginning of the array and goes up to the last unsorted element (i + 1)<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li><strong>Comparison (if arr[j] &gt; arr[j + 1]):<\/strong> Adjacent elements are compared to check if they are in the wrong order (i.e., the current element is greater than the next)<\/li>\n\n\n\n<li><strong>Swapping (arr[j], arr[j + 1] = arr[j + 1], arr[j]):<\/strong> If the elements are out of order, they are swapped using Python\u2019s tuple unpacking<\/li>\n\n\n\n<li><strong>Termination:<\/strong> After the outer loop completes all passes, the array is sorted<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-dry-run\">Dry Run<\/h2>\n\n\n\n<p><strong>Iteration 1<\/strong>:<img decoding=\"async\" style=\"\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXeMU-0CIBMWOSoNK14n5FLyxLpuZ3Dvct3ZvO77ZVLvyZYuHry2DvxU9aZmvGCoGszCNKK4bkonAKKYIGEiYF6qcx1z3W1c4wPxl5yEcnCaQqhZLnVxQuGuWrjKtOJf6M9ACMQaeg?key=8MWHFW2eGm3LWY8lDRj_D9PN\" alt=\"Dry Run of Bubble Sort Algorithm in Python (Iteration 1)\"><\/p>\n\n\n\n<p><strong>Iteration 2<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1600\" height=\"900\" src=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ.png\" alt=\"Dry Run of Bubble Sort Algorithm in Python (Iteration 2)\" class=\"wp-image-221\" srcset=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ.png 1600w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-300x169.png 300w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-1024x576.png 1024w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-768x432.png 768w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-1536x864.png 1536w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-150x84.png 150w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-450x253.png 450w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXeAicDfgF_f0fwisZ2JzaAcQkLjW66tFlYvSD2P6dT17BPC3anX66pWYRnpPWiza0UBaZpzrrWOZGqiWBOA70PJz4aqcq3yvzk-DSnZ7TO-mU4YPNzk2Nfvo8NtXyS4CRH1ZtmFyQ-1200x675.png 1200w\" sizes=\"(max-width: 1600px) 100vw, 1600px\" \/><\/figure>\n\n\n\n<p><strong>Iteration 3<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1600\" height=\"900\" src=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L.png\" alt=\"Dry Run of Bubble Sort Algorithm in Python (Iteration 3)\" class=\"wp-image-220\" srcset=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L.png 1600w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-300x169.png 300w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-1024x576.png 1024w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-768x432.png 768w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-1536x864.png 1536w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-150x84.png 150w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-450x253.png 450w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXc2bQoUrqluyIoD_iD5vrLgKLzHL3psy4Ww1SwubeiHnBccWxan4Q0GbK2BBkhnoAyxAq1Ge1hkHVyxlTKHJSFj7B5N48woMv83V9r5HcfyBgMhZnM1x06mnw2vZaiX1RxIZ10L-1200x675.png 1200w\" sizes=\"(max-width: 1600px) 100vw, 1600px\" \/><\/figure>\n\n\n\n<p><strong>Iteration 4<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" width=\"1600\" height=\"900\" src=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw.png\" alt=\"Dry Run of Bubble Sort Algorithm in Python (Iteration 4)\" class=\"wp-image-218\" srcset=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw.png 1600w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-300x169.png 300w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-1024x576.png 1024w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-768x432.png 768w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-1536x864.png 1536w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-150x84.png 150w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-450x253.png 450w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXcjkNbKrcRr0wRtQlru2v4YuxdY5-D0tG6pmmdjrfUWaQ7BVqBe19IHOTPEr7eK2KzpTrz9rVsBnmehVyBeQpPlG9fKfH6Krewg3cdYe5sNHqdvYKibP4Dh2BnClf90OpZrUCZKBw-1200x675.png 1200w\" sizes=\"(max-width: 1600px) 100vw, 1600px\" \/><\/figure>\n\n\n\n<p><strong>Iteration 5<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"900\" src=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A.png\" alt=\"Dry Run of Bubble Sort Algorithm in Python (Iteration 5)\" class=\"wp-image-219\" srcset=\"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A.png 1600w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-300x169.png 300w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-1024x576.png 1024w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-768x432.png 768w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-1536x864.png 1536w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-150x84.png 150w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-450x253.png 450w, https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/AD_4nXewQzkItj3Gqu8tAWUM6prjea9ieZNGNAW2Zk5xGGF-AEBFfHiTRd5Q-EtlwWOju8EK2ZA2vVd0oydDxTxkP35JBIT9cHsexT3n24Cgyrbbk8LTop9nOPovtIZA4hlbabMYIPr8A-1200x675.png 1200w\" sizes=\"(max-width: 1600px) 100vw, 1600px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-complexity-analysis\">Complexity Analysis<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Time Complexity:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Worst Case:<\/strong> O(n<sup>2<\/sup>), when the array is in reverse order and every element needs to be compared and swapped<\/li>\n\n\n\n<li><strong>Best Case:<\/strong> O(n<sup>2<\/sup>), as the given code does not include an optimization to exit early when the array is already sorted<\/li>\n\n\n\n<li><strong>Average Case:<\/strong> O(n<sup>2<\/sup>)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Space Complexity:<\/strong>\n<ul class=\"wp-block-list\">\n<li>The algorithm operates <strong>in-place<\/strong>, meaning no extra memory is used apart from a few variables<\/li>\n\n\n\n<li><strong>Space Complexity:<\/strong> O(1)<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><em>For any changes to the document, kindly email at <a href=\"mailto:code@codeanddebug.in\">code@codeanddebug.in<\/a> or contact us at <a href=\"tel:+91-9712928220\">+91-9712928220<\/a>.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hi everyone! In this article, we&#8217;ll help you solve &amp; understand bubble sort algorithm in Python like nowhere before. With it&#8217;s approach, code, explanation, dry run &amp; complexity analysis. So let&#8217;s begin with the [Problem Link]. Problem Statement Given an array, &#8220;arr[]&#8221;. Sort the array using bubble sort algorithm. Examples Constraints: Approach to Bubble Sort<\/p>\n","protected":false},"author":1,"featured_media":217,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,4],"tags":[7,12],"class_list":{"0":"post-216","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-data-structures-and-algorithm","8":"category-beginner","9":"tag-array","10":"tag-sorting-algos"},"featured_image_src":"https:\/\/codeanddebug.in\/blog\/wp-content\/uploads\/2025\/05\/bubble-sort-featured-image.png","author_info":{"display_name":"codeanddebug","author_link":"https:\/\/codeanddebug.in\/blog\/author\/codeanddebug\/"},"_links":{"self":[{"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/posts\/216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/comments?post=216"}],"version-history":[{"count":1,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/posts\/216\/revisions"}],"predecessor-version":[{"id":222,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/posts\/216\/revisions\/222"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/media\/217"}],"wp:attachment":[{"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/media?parent=216"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/categories?post=216"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/codeanddebug.in\/blog\/wp-json\/wp\/v2\/tags?post=216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}