{"id":4341,"date":"2025-02-01T09:22:31","date_gmt":"2025-02-01T08:22:31","guid":{"rendered":"https:\/\/rock-the-prototype.com\/uncategorized\/sorting-algorithms\/"},"modified":"2023-12-07T14:16:43","modified_gmt":"2023-12-07T13:16:43","slug":"sorting-algorithms","status":"publish","type":"encyclopedia","link":"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/","title":{"rendered":"Sorting algorithms"},"content":{"rendered":"<p><\/p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\"><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Inhaltsverzeichnis<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #ffffff;color:#ffffff\" 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: #ffffff;color:#ffffff\" 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><\/span><\/a><\/span><\/div>\n<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:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#What_are_sorting_algorithms\" >What are sorting algorithms?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#What_sorting_algorithms_are_available\" >What sorting algorithms are available?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Bubble_Sort\" >Bubble Sort<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Runtime_evaluation_of_Bubble_Sort_clearly_explained\" >Runtime evaluation of Bubble Sort clearly explained<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Insertion_Sort\" >Insertion Sort<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Runtime_evaluation_of_Insertion_Sort_clearly_explained\" >Runtime evaluation of Insertion Sort clearly explained<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Selection_Sort\" >Selection Sort<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Runtime_evaluation_of_Selection_Sort_clearly_explained\" >Runtime evaluation of Selection Sort clearly explained<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Merge_Sort\" >Merge Sort<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Runtime_evaluation_of_Merge_Sort_clearly_explained\" >Runtime evaluation of Merge Sort clearly explained<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Quick_Sort\" >Quick Sort<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Runtime_evaluation_of_Quick_Sort_clearly_explained\" >Runtime evaluation of Quick Sort clearly explained<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Heap_sorting\" >Heap sorting:<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Runtime_evaluation_of_Heap_Sort_clearly_explained\" >Runtime evaluation of Heap Sort clearly explained<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Interim_conclusion\" >Interim conclusion<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#What_can_I_use_sorting_algorithms_for\" >What can I use sorting algorithms for?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Relevance_of_sorting_algorithms\" >Relevance of sorting algorithms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Databases\" >Databases<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Search_algorithms\" >Search algorithms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Data_analysis\" >Data analysis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Operating_systems\" >Operating systems<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#eCommerce\" >eCommerce<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/#Conclusion_Importance_of_the_sorting_algorithm_for_programming\" >Conclusion: Importance of the sorting algorithm for programming<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_are_sorting_algorithms\"><\/span>What are sorting algorithms?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><a href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/\" target=\"_blank\" title=\"Sorting algorithms are a set of algorithmic methods that arrange items in a collection or list in a specific order, often numerically or alphabetically. We provide you with an easy-to-understand explanation and clear illustrations of the complexity of sorting algorithms.\" class=\"encyclopedia\">Sorting algorithms<\/a><\/strong> are a set of <strong>algorithmic methods<\/strong> that arrange items in a collection or list in a specific order, often numerically or alphabetically.<\/p>\n\n<h2><span class=\"ez-toc-section\" id=\"What_sorting_algorithms_are_available\"><\/span>What sorting algorithms are available?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a variety of sorting algorithms, each with their own strengths and weaknesses, and choosing the right algorithm depends on the size of the data set, the type of data and the desired output. We explain some of the most common sorting algorithms for you.<\/p>\n<div id=\"attachment_4326\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4326\" class=\"size-full wp-image-4325\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus.jpg\" alt=\"Bubble Sort Algorithm\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Bubble-Sort-Algorithmus.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4326\" class=\"wp-caption-text\">Bubble Sort Algorithm<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Bubble_Sort\"><\/span>Bubble Sort<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Bubble Sort<\/strong> is a <strong>simple sorting algorithm<\/strong> that <strong>repeatedly swaps neighboring elements<\/strong> if they are in the wrong order. It starts with the first element, compares it with the next element and swaps them if they are not in the right order. This process is repeated until the end of the list is reached. The algorithm then starts again from the beginning until the list is completely sorted.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Runtime_evaluation_of_Bubble_Sort_clearly_explained\"><\/span>Runtime evaluation of Bubble Sort clearly explained<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>Bubble Sort<\/strong> has a <strong>time complexity of O(n^2)<\/strong>, which means that it is not very efficient for large data sets.<\/p>\n<p>Imagine traveling through the solar system and for each planet we visit, we have to visit every moon and asteroid in the vicinity of that planet. This would be a good analogy for a sorting algorithm with a time complexity of O(n^2), where n is the number of elements in the list.<\/p>\n<p>When we visit the first planet, we only have to visit its moons and asteroids, which can take a few hours. However, when we move on to the second planet, we need to revisit all its moons and asteroids and then revisit all the moons and asteroids around the first planet to make sure everything is sorted. It takes longer, maybe a few days.<\/p>\n<p>The further we travel through the solar system and the more planets we visit, the longer it takes to sort everything out. When we reach the last planet, we have to visit all its moons and asteroids, all the moons and asteroids around the penultimate planet, all the moons and asteroids around the third last planet, and so on. Depending on the size of the solar system, this can take months or even years.<\/p>\n<p>This analogy illustrates the quadratic time complexity of O(n^2), where the time required to sort the data increases exponentially with the size of the data set. It is important to choose a sorting algorithm with a more efficient time complexity, such as O(n log n), if we want to sort large data sets quickly and efficiently.<\/p>\n<div id=\"attachment_4328\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4328\" class=\"size-full wp-image-4327\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus.jpg\" alt=\"Insertion Sort Algorithm \" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Insertion-Sort-Algorithmus.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4328\" class=\"wp-caption-text\">Insertion Sort Algorithm<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Insertion_Sort\"><\/span>Insertion Sort<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Insertion Sort<\/strong> is an algorithm that also uses insertion <strong>sorting<\/strong>. Insertion-Sort is therefore another simple <strong>sorting algorithm<\/strong> in which a <strong>sorted list is built up iteratively<\/strong>. It starts with the second element in the list and compares it with the first element. If the second element is smaller, it is moved to the left of the first element. The algorithm then moves on to the third element, compares it with the first two elements and inserts it in the correct position. This process is repeated until the end of the list is reached.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Runtime_evaluation_of_Insertion_Sort_clearly_explained\"><\/span>Runtime evaluation of <strong>Insertion Sort<\/strong> clearly explained<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Since <strong>Insertion Sort <\/strong>also has a time complexity of O(n^2), which makes this algorithm efficient for small data sets, but not very efficient for large data sets, we use another illustrative example of what this means in concrete terms:<\/p>\n<p>Let&rsquo;s imagine we&rsquo;re planning a road trip through Germany and want to visit all the cities and towns along the way. This would be a good analogy for a sorting algorithm with a time complexity of O(n^2), where n is the number of elements in the list.<\/p>\n<p>At the beginning of our journey, we visit the first town and the first village, which can take a few hours. However, if we continue to the second city, we have to visit all the cities we have already visited as well as the new city. It takes longer, maybe a day or two.<\/p>\n<p>The further we travel through Germany and the more cities we visit, the more time we need to visit them all. When we reach the last city, we have to visit all the cities and places we have already visited, as well as the new city. This can take weeks or even months, depending on the size of Germany and the number of cities and towns.<\/p>\n<p>This analogy illustrates the quadratic time complexity of O(n^2), where the time required to sort the data increases exponentially with the size of the data set. It is important to choose a sorting algorithm with a more efficient time complexity, such as O(n log n), if we want to sort large amounts of data quickly and efficiently.<\/p>\n<div id=\"attachment_4330\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4330\" class=\"size-full wp-image-4329\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus.jpg\" alt=\"Selection Sort Algorithm\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Selection-Sort-Algorithmus.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4330\" class=\"wp-caption-text\">Selection Sort Algorithm<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Selection_Sort\"><\/span>Selection Sort<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Selection Sort<\/strong> is an algorithm that uses <strong>selection sorting<\/strong>. Selection sorting is a simple sorting algorithm in which the smallest element in the unsorted part of the list is repeatedly searched for and moved to the beginning. First, the smallest element in the entire list is found and swapped with the first element. The algorithm then moves on to the second element and finds the smallest element in the remaining unsorted list and swaps it with the second element. This process is repeated until the end of the list is reached.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Runtime_evaluation_of_Selection_Sort_clearly_explained\"><\/span>Runtime evaluation of Selection Sort clearly explained<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Selection Sort also has a time complexity of O(n^2). Because it is important to understand what such a runtime means, we have come up with another illustrative example for you: Imagine you are playing a game of chess against an opponent, and every time you make a move, you have to check all the possible moves your opponent could make in response. If there are n possible moves that you could make, and n possible moves that your opponent could make in response, then you would have to evaluate n * n = n^2 possible move combinations.<\/p>\n<p>In the first move, for example, you have 20 possible moves that you can make. If your chess opponent responds to each of your moves with 20 possible chess moves, you have to weigh up 20 * 20 = 400 possible move combinations.<\/p>\n<p>The further the game progresses and the more possible moves there are, the longer it takes to evaluate all possible move combinations. At the end of the game, you may have to evaluate millions or even billions of possible move combinations, which will take a very long time&hellip;<\/p>\n<p>This analogy illustrates the quadratic time complexity of O(n^2), where the time required to evaluate all possible move combinations increases exponentially with the number of moves. It is important to choose an algorithm with a more efficient time complexity, e.g. O(n log n), if we want to process large amounts of data or solve complex problems quickly and efficiently.<\/p>\n<div id=\"attachment_4332\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4332\" class=\"size-full wp-image-4331\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus.jpg\" alt=\"Merge Sort Algorithm\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Merge-Sort-Algorithmus.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4332\" class=\"wp-caption-text\">Merge Sort Algorithm<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Merge_Sort\"><\/span>Merge Sort<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Merge Sort<\/strong> is a <strong>divide-and-conquer sort algorithm<\/strong> in which the list is <strong>recursively divided into two halves<\/strong>, each half is sorted and then merged again. First, the list is divided into two halves, each half is sorted recursively and then the two sorted halves are merged again. This process is repeated until the entire list is sorted.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Runtime_evaluation_of_Merge_Sort_clearly_explained\"><\/span>Runtime evaluation of Merge Sort clearly explained<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>Merge Sort<\/strong> has a <strong>time complexity of O(n log n)<\/strong>, which makes it efficient for large data sets.<\/p>\n<p>Imagine you are organizing a music festival and have to draw up a schedule for the performances on the individual stages. You have a list of n artists, and each artist has a certain time at which they can play. Your goal is to schedule each artist at a time when they are available and minimize the time when the stage remains empty.<\/p>\n<p>To solve this problem, you could use a <strong>sorting algorithm with a time complexity of O(n log n)<\/strong>, e.g. Merge Sort or Quicksort. The algorithm would sort the list of artists according to their availability time in O(n log n) time. Once the list is sorted, you can go through it and schedule each performer for each phase at the earliest possible time to ensure that each phase is filled as much as possible.<\/p>\n<p>For example, if you have 8 artists and a certain amount of time is available for each one, sorting the list would take O(8 log 8) = O(24) time. Once the list is sorted, you can schedule each artist in O(8) time as you only have to go through the list once.<\/p>\n<p>As the number of performers increases, the time required to sort the list increases at a slower rate than the number of performers. With 100 artists, for example, sorting the list would take O(100 log 100) = O(660) time. This is much faster than the O(100^2) time it would take to sort the list with a quadratic algorithm like Bubble Sort.<\/p>\n<p>This analogy illustrates the efficient time complexity of O(n log n) algorithms, which are well suited for processing large amounts of data or solving complex problems quickly and efficiently.<\/p>\n<div id=\"attachment_4334\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4334\" class=\"size-full wp-image-4333\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus.jpg\" alt=\"Quick Sort Algorithm\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Quick-Sort-Algorithmus.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4334\" class=\"wp-caption-text\">Quick Sort Algorithm<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Quick_Sort\"><\/span>Quick Sort<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Quick Sort<\/strong> is another <strong>divide-and-conquer sort algorithm<\/strong> in which the list is split into two parts around a <em>pivot element<\/em>, each part is recursively sorted and then rejoined.<\/p>\n<p>First, a pivot element is selected and the list is divided into two parts: one part with elements that are smaller than the pivot and one part with elements that are larger than the pivot.<\/p>\n<p>The algorithm then sorts each part recursively and combines them together again.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Runtime_evaluation_of_Quick_Sort_clearly_explained\"><\/span>Runtime evaluation of Quick Sort clearly explained<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>Quick Sort<\/strong> has a <strong>time complexity of O(n log n)<\/strong>, which makes it efficient for large data sets.<\/p>\n<p>Imagine you have a list with n entries that you want to sort from smallest to largest. One way to do this is to repeatedly split the list in half until you have a <em>&ldquo;bunch of small sorted lists&rdquo;<\/em> and then merge these lists into one large sorted list.<\/p>\n<p>Each time you halve your list, you halve the number of elements, so you have to do this log n times to get small sorted lists. Every time you merge two lists, you have to compare and organize each element, which takes O(n) time.<\/p>\n<p>The total time for sorting the list is therefore O(n log n), as the list is halved log n times and the small sorted lists are merged in O(n) time.<\/p>\n<p>This algorithm is called <strong>Quick-Sort<\/strong> and is an example of an algorithm with a time complexity of O(n log n). It is a good choice for sorting large amounts of data quickly and efficiently.<\/p>\n<div id=\"attachment_4336\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4336\" class=\"size-full wp-image-4335\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus.jpg\" alt=\"Heap Sort Algorithm\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Heap-Sort-Algorithmus.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4336\" class=\"wp-caption-text\"><a href=\"https:\/\/rock-the-prototype.com\/en\/learn-programming\/heap\/\" target=\"_blank\" title=\"What is a heap? The heap is a dynamic memory and therefore a memory area from which computers can request contiguous memory sections at program runtime and release them again in any order. This makes heap memory an alternative to local stack memory.\" class=\"encyclopedia\">Heap<\/a> Sort Algorithm<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Heap_sorting\"><\/span>Heap sorting:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Heap Sort<\/strong> is a <strong>sorting algorithm<\/strong> that uses a <strong>binary heap data structure<\/strong> to sort elements. It starts by building a binary heap from the list, rearranging the elements so that they fulfill the heap property.<\/p>\n<p>As soon as the heap is built, the maximum element is removed from the root and added to the sorted list. The pile is then rebuilt with the remaining elements and the process is repeated until the entire list is sorted.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Runtime_evaluation_of_Heap_Sort_clearly_explained\"><\/span>Runtime evaluation of Heap Sort clearly explained<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>Heap sorting<\/strong> has a <strong>time complexity of O(n log n)<\/strong>, which makes it efficient for large data sets.<\/p>\n<p>Imagine you have a set of playing cards that are randomly shuffled and you want to sort them in order from smallest to largest. One way to do this is to sort the heap, where a binary heap is formed from the cards and then the smallest card is repeatedly extracted until all cards are sorted.<\/p>\n<p>Building the binary pile takes O(n) time, where n is the number of cards. Once the heap is built, you can extract the smallest map in O(log n) time, since the height of the binary heap is log n.<br>\nYou repeat this process n times to extract all cards and build the sorted list, which takes a total of O(n log n) time.<\/p>\n<p>Put simply, cluster sorting works by organizing the cards in a binary tree structure in which the parent node is always smaller than its children. This makes it easy to find and extract the smallest card every time. The time complexity of Heap Sort is O(n log n), since each step of the process takes O(log n) time and there are n steps.<\/p>\n<p>Overall, <strong>Heap-Sort<\/strong> is an <strong>efficient sorting algorithm<\/strong> with a <strong>time complexity of O(n log n)<\/strong> that can easily process large amounts of data.<\/p>\n<\/div><a class=\"fusion-modal-text-link\" data-toggle=\"modal\" data-target=\".fusion-modal.Podcast Software Development - Idea generation and creativity in software development\" href=\"#\"><iframe class=\"lazyload\" style=\"border-radius: 12px;\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D%27http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%27%20width%3D%27100%27%20height%3D%27352%27%20viewBox%3D%270%200%20100%20352%27%3E%3Crect%20width%3D%27100%27%20height%3D%27352%27%20fill-opacity%3D%220%22%2F%3E%3C%2Fsvg%3E\" data-orig-src=\"https:\/\/open.spotify.com\/embed\/episode\/54PtfzZlt3gTfrxDcx4wrC?utm_source=generator\" width=\"100%\" height=\"352\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/a>\n<div class=\"fusion-text fusion-text-2\"><h3><span class=\"ez-toc-section\" id=\"Interim_conclusion\"><\/span>Interim conclusion<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In summary, it can be said that <strong>each sorting algorithm<\/strong> has its own <strong>advantages and disadvantages<\/strong>, and that the choice of algorithm depends on the specific requirements of the problem in question.<\/p>\n<p>Some algorithms, such as bubble sort and insertion sort, are easy to implement but not very efficient for large data sets. Others, such as Merge Sort, Quick Sort and Heap Sort, have better time complexity and are more efficient for larger data sets.<\/p>\n<p>It is important that you choose the right sorting algorithm based on the size of the data set, the type of data and the desired output. With our illustrative examples, we want to offer you an easy-to-remember option so that you can remember the complexity of these individual sorting algorithms at any time.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_can_I_use_sorting_algorithms_for\"><\/span>What can I use sorting algorithms for?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Sorting algorithms<\/strong> are used in a variety of applications, especially in computer science and data analysis.<\/p>\n<div id=\"attachment_4338\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4338\" class=\"size-full wp-image-4337\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse.jpg\" alt=\"Sorting algorithms in data analysis\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-in-der-Datenanalyse.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4338\" class=\"wp-caption-text\">Sorting algorithms in data analysis<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Relevance_of_sorting_algorithms\"><\/span>Relevance of sorting algorithms<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Here are some examples of the relevance of sorting algorithms:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Databases\"><\/span>Databases<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sorting algorithms are used in databases to efficiently sort and retrieve data. A database of customer records must be sorted by surname or zip code, for example, to enable simple searching and filtering.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Search_algorithms\"><\/span>Search algorithms<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sorting algorithms are used in search algorithms such as binary search, where the data must be sorted before the search can be carried out. The binary search is a very efficient algorithm for finding an element in a sorted list.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Data_analysis\"><\/span>Data analysis<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sorting algorithms are often used in data analysis to organize and compare large data sets. Sorting algorithms can be used, for example, to rank data, recognize trends and detect outliers.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Operating_systems\"><\/span>Operating systems<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sorting algorithms are used in operating systems to sort files and directories. This enables efficient searching and retrieval of files.<\/p>\n<div id=\"attachment_4340\" style=\"width: 1802px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-4340\" class=\"size-full wp-image-4339\" src=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce.jpg\" alt=\"Sorting algorithms in eCommerce\" width=\"1792\" height=\"1024\" srcset=\"https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-200x114.jpg 200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-300x171.jpg 300w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-400x229.jpg 400w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-600x343.jpg 600w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-768x439.jpg 768w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-800x457.jpg 800w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-1024x585.jpg 1024w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-1200x686.jpg 1200w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce-1536x878.jpg 1536w, https:\/\/rock-the-prototype.com\/wp-content\/uploads\/2023\/03\/Sortieralgorithmen-im-eCommerce.jpg 1792w\" sizes=\"(max-width: 1792px) 100vw, 1792px\"><p id=\"caption-attachment-4340\" class=\"wp-caption-text\">Sorting algorithms in eCommerce<\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"eCommerce\"><\/span>eCommerce<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In online retail, sorting algorithms are used to sort products according to price, popularity or other criteria. In this way, customers can easily find the products they are looking for.<\/p>\n<p>In general, sorting algorithms are useful wherever <strong>large amounts of data<\/strong> need to be <strong>organized<\/strong> and <strong>analyzed<\/strong> <strong>quickly and efficiently<\/strong>.<\/p>\n<p>These sorting algorithms are an indispensable tool in computer science and data analysis, and many different sorting algorithms have been developed to meet different needs and requirements.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Conclusion_Importance_of_the_sorting_algorithm_for_programming\"><\/span>Conclusion: Importance of the sorting algorithm for programming<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As a programmer, an <strong>understanding of sorting algorithms<\/strong> is essential for <strong>developing efficient and effective software<\/strong>. Sorting algorithms are the backbone of many applications, from simple list processing to complex data analysis. If you know and implement the right sorting algorithm, you can <strong>significantly improve<\/strong> the <strong>performance of your code<\/strong> and <strong>save valuable time and resources<\/strong>.<\/p>\n<p>In addition, sorting algorithms are a fundamental part of computer science, and your understanding is essential to building a solid foundation in this area. With sorting algorithms, you will learn something essential about algorithms and data structures, which form the core of computer science. The knowledge you gain by learning sorting algorithms will help you to better understand and solve complex problems in all areas of computer science.<\/p>\n<p>In addition, <strong>knowledge of sorting algorithms<\/strong> can also give you an <strong>advantage in job interviews<\/strong> and <strong>technical assessments<\/strong>. Many technology companies require applicants to demonstrate their understanding of sorting algorithms, as these are fundamental to many software development positions.<\/p>\n<p>Overall, knowledge of sorting algorithms is an essential skill for any programmer who wants to write efficient, effective and well-organized code. They will help you build a solid foundation for your software development, improve your career prospects and solve complex problems more effectively.<\/p>\n<p><strong>So take the time to learn sorting algorithms &ndash; you won&rsquo;t regret it!<\/strong><\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\"><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1144px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><a class=\"fusion-modal-text-link\" data-toggle=\"modal\" data-target=\".fusion-modal.Rock the Prototype - Software development &amp; Prototyping Podcast iTunes\" href=\"#\"><iframe id=\"embedPlayer\" style=\"width: 100%; max-width: 660px; overflow: hidden; border-radius: 10px; transform: translateZ(0px); animation: 2s ease 0s 6 normal none running loading-indicator; background-color: #e4e4e4;\" src=\"https:\/\/embed.podcasts.apple.com\/us\/podcast\/rock-the-prototype-software-development-prototyping\/id1684835330?itsct=podcast_box_player&amp;itscg=30200&amp;ls=1&amp;theme=auto\" height=\"450px\" frameborder=\"0\" sandbox=\"allow-forms allow-popups allow-same-origin allow-scripts allow-top-navigation-by-user-activation\"><\/iframe><\/a><\/div><\/div><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Sorting algorithms are a set of algorithmic methods that arrange items in a collection or list in a specific order, often numerically or alphabetically. We provide you with an easy-to-understand explanation and clear illustrations of the complexity of sorting algorithms.<\/p>\n","protected":false},"author":1,"featured_media":4323,"template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"categories":[1368,1258],"tags":[1724,1726,1725,1721,1727,1144,1145,1142,1143,1722,1723,1146,1260],"class_list":["post-4341","encyclopedia","type-encyclopedia","status-publish","has-post-thumbnail","hentry","category-algorithms","category-learn-programming","tag-complexity","tag-complexity-assessment","tag-complexity-assessments","tag-conditions-en","tag-cost-estimation","tag-design-pattern-en","tag-design-pattern-en-2","tag-programming","tag-programming-en","tag-runtime","tag-runtime-rating","tag-software-design-en","tag-software-design-en-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>What are sorting algorithms? How does a sorting algorithm work?<\/title>\n<meta name=\"description\" content=\"Sorting algorithms: easy to understand \u2705 Sorting algorithm clearly explained \u2705 With visual representation of complexity \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/rock-the-prototype.com\/en\/algorithms\/sorting-algorithms\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What are sorting algorithms? 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