{"id":11475,"date":"2026-02-06T21:37:46","date_gmt":"2026-02-06T16:07:46","guid":{"rendered":"https:\/\/namastedev.com\/blog\/?p=11475"},"modified":"2026-02-07T21:19:16","modified_gmt":"2026-02-07T15:49:16","slug":"counting-sort-stable-code","status":"publish","type":"post","link":"https:\/\/namastedev.com\/blog\/counting-sort-stable-code\/","title":{"rendered":"Counting Sort Stable Code"},"content":{"rendered":"\n<!-- PrismJS for Syntax Highlighting -->\n<link\n    href=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/themes\/prism-tomorrow.min.css\"\n    rel=\"stylesheet\"\n\/>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/prism.min.js\"><\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/plugins\/autoloader\/prism-autoloader.min.js\"><\/script>\n\n<style>\n.wp_blog_theme {\n  --primary: #E58C32;\n  --secondary: #030302;\n  --light-bg: #fef9f4;\n  --text-dark: #2d2d2d;\n  --tab-radius: 12px;\n  --shadow: 0 4px 12px rgba(0, 0, 0, 0.08);\n  --code-bg: #001f3f;\n  --code-text: #d4f1ff;\n}\n\n.wp_blog_container {\n  font-family: 'Segoe UI', sans-serif;\n  background: var(--light-bg);\n  margin: 0;\n  padding: 0;\n  color: var(--text-dark);\n}\n\n\/* Heading *\/\n.wp_blog_main-heading {\n  text-align: center;\n  font-size: 2.4rem;\n  color: var(--primary);\n  margin-top: 2.5rem;\n  font-weight: bold;\n}\n\n\/* Explanation Card *\/\n.wp_blog_explanation,\n.wp_blog_code-tabs-container {\n  max-width: 940px;\n  margin: 2rem auto;\n  padding: 2rem;\n  background: white;\n  border-radius: var(--tab-radius);\n  box-shadow: var(--shadow);\n}\n\n\/* Text and Visuals *\/\n.wp_blog_explanation h2 {\n  font-size: 1.4rem;\n  color: var(--primary);\n  margin-bottom: 0.5rem;\n}\n\n.wp_blog_explanation p,\n.wp_blog_explanation li {\n  font-size: 1.05rem;\n  line-height: 1.7;\n  margin: 0.5rem 0;\n}\n\n.wp_blog_explanation code {\n  background: #fef9f4; 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\/* makes it the reference for absolute children *\/\n}\n\n.wp_blog_toggle-btn {\n  position: absolute;\n  top: 1rem;\n  right: 1rem;\n  z-index: 9999;\n  padding: 0.5rem 0.8rem;\n  border-radius: 10%;\n  background: var(--primary);\n  color: white;\n  font-weight: bold;\n  cursor: pointer;\n  border: none;\n  box-shadow: var(--shadow);\n  transition: background 0.3s, transform 0.2s;\n}\n\n.wp_blog_toggle-btn:hover {\n  background: #cc772e;\n}\n\n.wp_blog_theme.dark-mode .wp_blog_code-tabs-container {\n  background: #1e1e1e;\n}\n<\/style>\n\n<div class=\"wp_blog_container wp_blog_theme\">\n            <button id=\"blogNotesThemeToggle\" class=\"wp_blog_toggle-btn\">\ud83c\udf19<\/button>\n\n<h1 class=\"wp_blog_main-heading\"><\/h1>\n\n<div class=\"wp_blog_explanation\">\n    <h2>Counting Sort (Stable) Code<\/h2>\n\n    <h2>Time Complexity<\/h2>\n    <p><strong>O(n + k)<\/strong><\/p>\n    <p>where k: range.<\/p>\n    <p><i>if k <<<< n, it's a very stable algorithm.<\/i><\/p>\n\n    <h2>Space Complexity<\/h2>\n    <p><strong>O(K)<\/strong><\/p>\n\n<\/div>\n\n<div class=\"wp_blog_code-tabs-container\">\n    <div class=\"wp_blog_code-tabs-header\">\n        <button class=\"wp_blog_code-tab-button active\" data-lang=\"js\">\n            JavaScript\n        <\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"py\">Python<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"java\">Java<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"cpp\">C++<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"c\">C<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"cs\">C#<\/button>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content active\" data-lang=\"js\">\n       \n<pre><code class=\"language-javascript\">\nfunction countingSortStable(arr) {\n    let max = Math.max(...arr);\n    \n    let count = new Array(max + 1).fill(0);\n    for(let x of arr){\n        count[x]++;\n    }\n    \n    let prefix = new Array(max + 1).fill(0);\n    prefix[0] = count[0];\n    for(let i = 1; i < count.length; i++){\n        prefix[i] = count[i] + prefix[i - 1];\n    }\n    let sortedArr = new Array(arr.length);\n    for(let i = arr.length - 1; i >= 0; i--) {\n        let curr = arr[i];\n        let x = prefix[curr];\n        sortedArr[x-1] = curr;\n        prefix[curr]--\n    }\n    return sortedArr;\n}\n\nlet nums = [4, 2, 5, 3, 3, 2, 1, 4];\nconsole.log(countingSortStable(nums));\n<\/code><\/pre>\n\n<\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"py\">\n        <pre><code class=\"language-python\">\ndef counting_sort_stable(arr):\n    max_val = max(arr)\n\n    count = [0] * (max_val + 1)\n    for x in arr:\n        count[x] += 1\n\n    prefix = [0] * (max_val + 1)\n    prefix[0] = count[0]\n    for i in range(1, len(count)):\n        prefix[i] = prefix[i - 1] + count[i]\n\n    sorted_arr = [0] * len(arr)\n    for i in range(len(arr) - 1, -1, -1):\n        curr = arr[i]\n        sorted_arr[prefix[curr] - 1] = curr\n        prefix[curr] -= 1\n\n    return sorted_arr\n\n\nnums = [4, 2, 5, 3, 3, 2, 1, 4]\nprint(counting_sort_stable(nums))\n    <\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"java\">\n        <pre><code class=\"language-java\">\nimport java.util.*;\n\npublic class CountingSortStable {\n    public static int[] countingSortStable(int[] arr) {\n        int max = Arrays.stream(arr).max().getAsInt();\n\n        int[] count = new int[max + 1];\n        for (int x : arr) {\n            count[x]++;\n        }\n\n        int[] prefix = new int[max + 1];\n        prefix[0] = count[0];\n        for (int i = 1; i <= max; i++) {\n            prefix[i] = prefix[i - 1] + count[i];\n        }\n\n        int[] sortedArr = new int[arr.length];\n        for (int i = arr.length - 1; i >= 0; i--) {\n            int curr = arr[i];\n            sortedArr[prefix[curr] - 1] = curr;\n            prefix[curr]--;\n        }\n\n        return sortedArr;\n    }\n\n    public static void main(String[] args) {\n        int[] nums = {4, 2, 5, 3, 3, 2, 1, 4};\n        int[] res = countingSortStable(nums);\n\n        System.out.println(Arrays.toString(res));\n    }\n}\n<\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"cpp\">\n        <pre><code class=\"language-cpp\">\n#include &lt;bits\/stdc++.h&gt;\nusing namespace std;\n\nvector<int> countingSortStable(vector<int>& arr) {\n    int maxVal = *max_element(arr.begin(), arr.end());\n\n    vector<int> count(maxVal + 1, 0);\n    for (int x : arr) {\n        count[x]++;\n    }\n\n    vector<int> prefix(maxVal + 1, 0);\n    prefix[0] = count[0];\n    for (int i = 1; i <= maxVal; i++) {\n        prefix[i] = prefix[i - 1] + count[i];\n    }\n\n    vector<int> sortedArr(arr.size());\n    for (int i = arr.size() - 1; i >= 0; i--) {\n        int curr = arr[i];\n        int pos = prefix[curr];\n        sortedArr[pos - 1] = curr;\n        prefix[curr]--;\n    }\n\n    return sortedArr;\n}\n\nint main() {\n    vector<int> nums = {4, 2, 5, 3, 3, 2, 1, 4};\n    vector<int> res = countingSortStable(nums);\n\n    for (int x : res) cout << x << \" \";\n    return 0;\n}\n    <\/code><\/pre>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"c\">\n        <pre><code class=\"language-c\">\n#include &lt;stdio.h&gt;\n\nint findMax(int arr[], int n) {\n    int max = arr[0];\n    for (int i = 1; i < n; i++)\n        if (arr[i] > max)\n            max = arr[i];\n    return max;\n}\n\nvoid countingSortStable(int arr[], int n) {\n    int maxVal = findMax(arr, n);\n\n    int count[maxVal + 1];\n    int prefix[maxVal + 1];\n    int output[n];\n\n    for (int i = 0; i <= maxVal; i++)\n        count[i] = 0;\n\n    for (int i = 0; i < n; i++)\n        count[arr[i]]++;\n\n    prefix[0] = count[0];\n    for (int i = 1; i <= maxVal; i++)\n        prefix[i] = prefix[i - 1] + count[i];\n\n    for (int i = n - 1; i >= 0; i--) {\n        int curr = arr[i];\n        output[prefix[curr] - 1] = curr;\n        prefix[curr]--;\n    }\n\n    for (int i = 0; i < n; i++)\n        arr[i] = output[i];\n}\n\nint main() {\n    int nums[] = {4, 2, 5, 3, 3, 2, 1, 4};\n    int n = sizeof(nums) \/ sizeof(nums[0]);\n\n    countingSortStable(nums, n);\n\n    for (int i = 0; i < n; i++)\n        printf(\"%d \", nums[i]);\n\n    return 0;\n}\n    <\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"cs\">\n        <pre><code class=\"language-csharp\">\nusing System;\nusing System.Linq;\n\nclass Program {\n    static int[] CountingSortStable(int[] arr) {\n        int max = arr.Max();\n\n        int[] count = new int[max + 1];\n        foreach (int x in arr)\n            count[x]++;\n\n        int[] prefix = new int[max + 1];\n        prefix[0] = count[0];\n        for (int i = 1; i <= max; i++)\n            prefix[i] = prefix[i - 1] + count[i];\n\n        int[] sortedArr = new int[arr.Length];\n        for (int i = arr.Length - 1; i >= 0; i--) {\n            int curr = arr[i];\n            sortedArr[prefix[curr] - 1] = curr;\n            prefix[curr]--;\n        }\n\n        return sortedArr;\n    }\n\n    static void Main() {\n        int[] nums = {4, 2, 5, 3, 3, 2, 1, 4};\n        int[] result = CountingSortStable(nums);\n\n        Console.WriteLine(string.Join(\" \", result));\n    }\n}\n\n  <\/code><\/pre>\n    <\/div>\n<\/div>\n<\/div>\n<script>\ndocument.addEventListener(\"DOMContentLoaded\", () => {\n  const buttons = document.querySelectorAll(\".wp_blog_code-tab-button\");\n  const contents = document.querySelectorAll(\".wp_blog_code-tab-content\");\n\n  buttons.forEach((button) => {\n    button.addEventListener(\"click\", () => {\n      const lang = button.getAttribute(\"data-lang\");\n\n      buttons.forEach((btn) => btn.classList.remove(\"active\"));\n      contents.forEach((content) => content.classList.remove(\"active\"));\n\n      button.classList.add(\"active\");\n      document\n        .querySelector(`.wp_blog_code-tab-content[data-lang=\"${lang}\"]`)\n        .classList.add(\"active\");\n    });\n  });\n\n  const themeToggle = document.getElementById(\"blogNotesThemeToggle\");\n  const themeContainer = document.querySelector(\".wp_blog_theme\");\n\n  themeToggle.addEventListener(\"click\", () => {\n    themeContainer.classList.toggle(\"dark-mode\");\n    themeToggle.textContent =\n      themeContainer.classList.contains(\"dark-mode\") ? \"\u2600\ufe0f\" : \"\ud83c\udf19\";\n  });\n});\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>\ud83c\udf19 Counting Sort (Stable) Code Time Complexity O(n + k) where k: range. if k<\/p>\n","protected":false},"author":108,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[210,322,260,176,175,211,811,810,174,172,173],"tags":[],"class_list":["post-11475","post","type-post","status-publish","format-standard","category-algorithms","category-algorithms-and-data-structures","category-c-c-plus-plus","category-csharp","category-cplusplus","category-data-structures","category-data-structures-and-algorithms","category-dsa","category-java","category-javascript","category-python"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts\/11475","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/users\/108"}],"replies":[{"embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/comments?post=11475"}],"version-history":[{"count":1,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts\/11475\/revisions"}],"predecessor-version":[{"id":11476,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts\/11475\/revisions\/11476"}],"wp:attachment":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/media?parent=11475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/categories?post=11475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/tags?post=11475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}