-
Notifications
You must be signed in to change notification settings - Fork 13
Expand file tree
/
Copy pathcounting-sort.html
More file actions
93 lines (86 loc) · 23 KB
/
counting-sort.html
File metadata and controls
93 lines (86 loc) · 23 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
<!DOCTYPE html>
<html lang="en-US">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>Algorithm - Counting Sort</title>
<meta name="generator" content="VuePress 1.8.2">
<link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png">
<link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png">
<link rel="manifest" href="/site.webmanifest">
<link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png">
<link rel="mask-icon" href="/safari-pinned-tab.svg" color="#5bbad5">
<meta name="description" content="Counting Sort Basic Information, Psuedocode Implementation, C# Implementation">
<meta property="og:site_name" content="DevTut">
<meta property="og:title" content="Algorithm - Counting Sort">
<meta property="og:description" content="Counting Sort Basic Information, Psuedocode Implementation, C# Implementation">
<meta property="og:type" content="article">
<meta property="og:url" content="/algorithm/counting-sort.html">
<meta property="og:image" content="/logo.png">
<meta name="twitter:title" content="Algorithm - Counting Sort">
<meta name="twitter:description" content="Counting Sort Basic Information, Psuedocode Implementation, C# Implementation">
<meta name="twitter:url" content="/algorithm/counting-sort.html">
<meta name="twitter:card" content="summary_large_image">
<meta name="twitter:image" content="/logo.png">
<meta name="theme-color" content="#ffffff">
<meta name="apple-mobile-web-app-capable" content="yes">
<meta name="apple-mobile-web-app-status-bar-style" content="black">
<meta name="msapplication-TileImage" content="/mstile-150x150.png">
<meta name="msapplication-TileColor" content="#da532c">
<meta name="google-site-verification" content="76_rKXgwMVIjd-axJC_1zPV9OS4mEjvtgjYOWVkAdnQ">
<link rel="preload" href="/assets/css/0.styles.60619e34.css" as="style"><link rel="preload" href="/assets/js/app.1779e102.js" as="script"><link rel="preload" href="/assets/js/3.2cfa8016.js" as="script"><link rel="preload" href="/assets/js/28.418cc61e.js" as="script">
<link rel="stylesheet" href="/assets/css/0.styles.60619e34.css">
</head>
<body>
<div id="app" data-server-rendered="true"><div class="theme-container"><header class="navbar"><div class="sidebar-button"><svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" role="img" viewBox="0 0 448 512" class="icon"><path fill="currentColor" d="M436 124H12c-6.627 0-12-5.373-12-12V80c0-6.627 5.373-12 12-12h424c6.627 0 12 5.373 12 12v32c0 6.627-5.373 12-12 12zm0 160H12c-6.627 0-12-5.373-12-12v-32c0-6.627 5.373-12 12-12h424c6.627 0 12 5.373 12 12v32c0 6.627-5.373 12-12 12zm0 160H12c-6.627 0-12-5.373-12-12v-32c0-6.627 5.373-12 12-12h424c6.627 0 12 5.373 12 12v32c0 6.627-5.373 12-12 12z"></path></svg></div> <a href="/" class="home-link router-link-active"><!----> <span class="site-name">DevTut</span></a> <div class="links"><form id="search-form" role="search" class="algolia-search-wrapper search-box"><input id="algolia-search-input" class="search-query"></form> <nav class="nav-links can-hide"> <a href="https://github.com/devtut/generate" target="_blank" rel="noopener noreferrer" class="repo-link">
GitHub
<span><svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15" class="icon outbound"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path> <polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg> <span class="sr-only">(opens new window)</span></span></a></nav></div></header> <div class="sidebar-mask"></div> <aside class="sidebar"><nav class="nav-links"> <a href="https://github.com/devtut/generate" target="_blank" rel="noopener noreferrer" class="repo-link">
GitHub
<span><svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15" class="icon outbound"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path> <polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg> <span class="sr-only">(opens new window)</span></span></a></nav> <ul class="sidebar-links"><li><section class="sidebar-group depth-0"><p class="sidebar-heading open"><span>Algorithm</span> <!----></p> <ul class="sidebar-links sidebar-group-items"><li><a href="/algorithm/" aria-current="page" class="sidebar-link">Disclaimer</a></li><li><a href="/algorithm/getting-started-with-algorithm.html" class="sidebar-link">Getting started with algorithm</a></li><li><a href="/algorithm/algorithm-complexity.html" class="sidebar-link">Algorithm Complexity</a></li><li><a href="/algorithm/big-o-notation.html" class="sidebar-link">Big-O Notation</a></li><li><a href="/algorithm/trees.html" class="sidebar-link">Trees</a></li><li><a href="/algorithm/binary-search-trees.html" class="sidebar-link">Binary Search Trees</a></li><li><a href="/algorithm/check-if-a-tree-is-bst-or-not.html" class="sidebar-link">Check if a tree is BST or not</a></li><li><a href="/algorithm/binary-tree-traversals.html" class="sidebar-link">Binary Tree traversals</a></li><li><a href="/algorithm/lowest-common-ancestor-of-a-binary-tree.html" class="sidebar-link">Lowest common ancestor of a Binary Tree</a></li><li><a href="/algorithm/graph.html" class="sidebar-link">Graph</a></li><li><a href="/algorithm/graph-traversals.html" class="sidebar-link">Graph Traversals</a></li><li><a href="/algorithm/dijkstras-algorithm.html" class="sidebar-link">Dijkstra’s Algorithm</a></li><li><a href="/algorithm/a-pathfinding.html" class="sidebar-link">A* Pathfinding</a></li><li><a href="/algorithm/a-pathfinding-algorithm.html" class="sidebar-link">A* Pathfinding Algorithm</a></li><li><a href="/algorithm/dynamic-programming.html" class="sidebar-link">Dynamic Programming</a></li><li><a href="/algorithm/applications-of-dynamic-programming.html" class="sidebar-link">Applications of Dynamic Programming</a></li><li><a href="/algorithm/kruskal-s-algorithm.html" class="sidebar-link">Kruskal's Algorithm</a></li><li><a href="/algorithm/greedy-algorithms.html" class="sidebar-link">Greedy Algorithms</a></li><li><a href="/algorithm/applications-of-greedy-technique.html" class="sidebar-link">Applications of Greedy technique</a></li><li><a href="/algorithm/prim-s-algorithm.html" class="sidebar-link">Prim's Algorithm</a></li><li><a href="/algorithm/bellman-ford-algorithm.html" class="sidebar-link">Bellman–Ford Algorithm</a></li><li><a href="/algorithm/line-algorithm.html" class="sidebar-link">Line Algorithm</a></li><li><a href="/algorithm/floyd-warshall-algorithm.html" class="sidebar-link">Floyd-Warshall Algorithm</a></li><li><a href="/algorithm/catalan-number-algorithm.html" class="sidebar-link">Catalan Number Algorithm</a></li><li><a href="/algorithm/multithreaded-algorithms.html" class="sidebar-link">Multithreaded Algorithms</a></li><li><a href="/algorithm/knuth-morris-pratt-kmp-algorithm.html" class="sidebar-link">Knuth Morris Pratt (KMP) Algorithm</a></li><li><a href="/algorithm/edit-distance-dynamic-algorithm.html" class="sidebar-link">Edit Distance Dynamic Algorithm</a></li><li><a href="/algorithm/online-algorithms.html" class="sidebar-link">Online algorithms</a></li><li><a href="/algorithm/integer-partition-algorithm.html" class="sidebar-link">Integer Partition Algorithm</a></li><li><a href="/algorithm/maximum-path-sum-algorithm.html" class="sidebar-link">Maximum Path Sum Algorithm</a></li><li><a href="/algorithm/maximum-subarray-algorithm.html" class="sidebar-link">Maximum Subarray Algorithm</a></li><li><a href="/algorithm/sliding-window-algorithm.html" class="sidebar-link">Sliding Window Algorithm</a></li><li><a href="/algorithm/sorting.html" class="sidebar-link">Sorting</a></li><li><a href="/algorithm/bubble-sort.html" class="sidebar-link">Bubble Sort</a></li><li><a href="/algorithm/merge-sort.html" class="sidebar-link">Merge Sort</a></li><li><a href="/algorithm/insertion-sort.html" class="sidebar-link">Insertion Sort</a></li><li><a href="/algorithm/bucket-sort.html" class="sidebar-link">Bucket Sort</a></li><li><a href="/algorithm/quicksort.html" class="sidebar-link">Quicksort</a></li><li><a href="/algorithm/counting-sort.html" aria-current="page" class="active sidebar-link">Counting Sort</a><ul class="sidebar-sub-headers"><li class="sidebar-sub-header"><a href="/algorithm/counting-sort.html#counting-sort-basic-information" class="sidebar-link">Counting Sort Basic Information</a></li><li class="sidebar-sub-header"><a href="/algorithm/counting-sort.html#psuedocode-implementation" class="sidebar-link">Psuedocode Implementation</a></li><li class="sidebar-sub-header"><a href="/algorithm/counting-sort.html#c-implementation" class="sidebar-link">C# Implementation</a></li></ul></li><li><a href="/algorithm/heap-sort.html" class="sidebar-link">Heap Sort</a></li><li><a href="/algorithm/cycle-sort.html" class="sidebar-link">Cycle Sort</a></li><li><a href="/algorithm/odd-even-sort.html" class="sidebar-link">Odd-Even Sort</a></li><li><a href="/algorithm/selection-sort.html" class="sidebar-link">Selection Sort</a></li><li><a href="/algorithm/pigeonhole-sort.html" class="sidebar-link">Pigeonhole Sort</a></li><li><a href="/algorithm/radix-sort.html" class="sidebar-link">Radix Sort</a></li><li><a href="/algorithm/shell-sort.html" class="sidebar-link">Shell Sort</a></li><li><a href="/algorithm/pancake-sort.html" class="sidebar-link">Pancake Sort</a></li><li><a href="/algorithm/searching.html" class="sidebar-link">Searching</a></li><li><a href="/algorithm/substring-search.html" class="sidebar-link">Substring Search</a></li><li><a href="/algorithm/breadth-first-search.html" class="sidebar-link">Breadth-First Search</a></li><li><a href="/algorithm/depth-first-search.html" class="sidebar-link">Depth First Search</a></li><li><a href="/algorithm/hash-functions.html" class="sidebar-link">Hash Functions</a></li><li><a href="/algorithm/travelling-salesman.html" class="sidebar-link">Travelling Salesman</a></li><li><a href="/algorithm/shortest-common-supersequence-problem.html" class="sidebar-link">Shortest Common Supersequence Problem</a></li><li><a href="/algorithm/knapsack-problem.html" class="sidebar-link">Knapsack Problem</a></li><li><a href="/algorithm/equation-solving.html" class="sidebar-link">Equation Solving</a></li><li><a href="/algorithm/longest-common-subsequence.html" class="sidebar-link">Longest Common Subsequence</a></li><li><a href="/algorithm/longest-increasing-subsequence.html" class="sidebar-link">Longest Increasing Subsequence</a></li><li><a href="/algorithm/check-two-strings-are-anagrams.html" class="sidebar-link">Check two strings are anagrams</a></li><li><a href="/algorithm/pascal-s-triangle.html" class="sidebar-link">Pascal's Triangle</a></li><li><a href="/algorithm/algo-print-a-m-n-matrix-in-square-wise.html" class="sidebar-link">Algo:- Print a m*n matrix in square wise</a></li><li><a href="/algorithm/matrix-exponentiation.html" class="sidebar-link">Matrix Exponentiation</a></li><li><a href="/algorithm/polynomial-time-bounded-algorithm-for-minimum-vertex-cover.html" class="sidebar-link">polynomial-time bounded algorithm for Minimum Vertex Cover</a></li><li><a href="/algorithm/dynamic-time-warping.html" class="sidebar-link">Dynamic Time Warping</a></li><li><a href="/algorithm/fast-fourier-transform.html" class="sidebar-link">Fast Fourier Transform</a></li><li><a href="/algorithm/pseudocode.html" class="sidebar-link">Pseudocode</a></li><li><a href="/algorithm/contributors.html" class="sidebar-link">The Contributors</a></li></ul></section></li></ul> </aside> <main class="page"> <div class="theme-default-content content__default"><h1 id="counting-sort"><a href="#counting-sort" class="header-anchor">#</a> Counting Sort</h1> <h2 id="counting-sort-basic-information"><a href="#counting-sort-basic-information" class="header-anchor">#</a> Counting Sort Basic Information</h2> <p><a href="https://en.wikipedia.org/wiki/Counting_sort" target="_blank" rel="noopener noreferrer">Counting sort<span><svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15" class="icon outbound"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path> <polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg> <span class="sr-only">(opens new window)</span></span></a> is an integer sorting algorithm for a collection of objects that sorts according to the keys of the objects.</p> <p><strong>Steps</strong></p> <ol><li>Construct a working array <strong>C</strong> that has size equal to the range of the input array <strong>A</strong>.</li> <li>Iterate through <strong>A</strong>, assigning <strong>C</strong>[x] based on the number of times x appeared in <strong>A</strong>.</li> <li>Transform <strong>C</strong> into an array where <strong>C</strong>[x] refers to the number of values ≤ x by iterating through the array, assigning to each <strong>C</strong>[x] the sum of its prior value and all values in <strong>C</strong> that come before it.</li> <li>Iterate backwards through <strong>A</strong>, placing each value in to a new sorted array <strong>B</strong> at the index recorded in <strong>C</strong>. This is done for a given <strong>A</strong>[x] by assigning <strong>B</strong>[<strong>C</strong>[<strong>A</strong>[x]]] to <strong>A</strong>[x], and decrementing <strong>C</strong>[<strong>A</strong>[x]] in case there were duplicate values in the original unsorted array.</li></ol> <p><strong>Example of Counting Sort</strong></p> <p><a href="http://i.stack.imgur.com/ccdTK.jpg" target="_blank" rel="noopener noreferrer"><img src="http://i.stack.imgur.com/ccdTK.jpg" alt="Counting Sort"><span><svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15" class="icon outbound"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path> <polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg> <span class="sr-only">(opens new window)</span></span></a></p> <p><strong>Auxiliary Space:</strong> <code>O(n+k)</code> <br> <strong>Time Complexity:</strong> Worst-case: <code>O(n+k)</code>, Best-case: <code>O(n)</code>, Average-case <code>O(n+k)</code></p> <h2 id="psuedocode-implementation"><a href="#psuedocode-implementation" class="header-anchor">#</a> Psuedocode Implementation</h2> <p>Constraints:</p> <ol><li>Input (an array to be sorted)</li> <li>Number of element in input (n)</li> <li>Keys in the range of <strong>0..k-1</strong> (k)</li> <li>Count (an array of number)</li></ol> <p>Pseudocode:</p> <div class="language-cpp extra-class"><pre class="language-cpp"><code><span class="token keyword">for</span> x in input<span class="token operator">:</span>
count<span class="token punctuation">[</span><span class="token function">key</span><span class="token punctuation">(</span>x<span class="token punctuation">)</span><span class="token punctuation">]</span> <span class="token operator">+=</span> <span class="token number">1</span>
total <span class="token operator">=</span> <span class="token number">0</span>
<span class="token keyword">for</span> i in <span class="token function">range</span><span class="token punctuation">(</span>k<span class="token punctuation">)</span><span class="token operator">:</span>
oldCount <span class="token operator">=</span> count<span class="token punctuation">[</span>i<span class="token punctuation">]</span>
count<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> total
total <span class="token operator">+=</span> oldCount
<span class="token keyword">for</span> x in input<span class="token operator">:</span>
output<span class="token punctuation">[</span>count<span class="token punctuation">[</span><span class="token function">key</span><span class="token punctuation">(</span>x<span class="token punctuation">)</span><span class="token punctuation">]</span><span class="token punctuation">]</span> <span class="token operator">=</span> x
count<span class="token punctuation">[</span><span class="token function">key</span><span class="token punctuation">(</span>x<span class="token punctuation">)</span><span class="token punctuation">]</span> <span class="token operator">+=</span> <span class="token number">1</span>
<span class="token keyword">return</span> output
</code></pre></div><h2 id="c-implementation"><a href="#c-implementation" class="header-anchor">#</a> C# Implementation</h2> <div class="language-cpp extra-class"><pre class="language-cpp"><code><span class="token keyword">public</span> <span class="token keyword">class</span> <span class="token class-name">CountingSort</span>
<span class="token punctuation">{</span>
<span class="token keyword">public</span> <span class="token keyword">static</span> <span class="token keyword">void</span> <span class="token function">SortCounting</span><span class="token punctuation">(</span><span class="token keyword">int</span><span class="token punctuation">[</span><span class="token punctuation">]</span> input<span class="token punctuation">,</span> <span class="token keyword">int</span> min<span class="token punctuation">,</span> <span class="token keyword">int</span> max<span class="token punctuation">)</span>
<span class="token punctuation">{</span>
var count <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token keyword">int</span><span class="token punctuation">[</span>max <span class="token operator">-</span> min <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">]</span><span class="token punctuation">;</span>
var z <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
<span class="token keyword">for</span> <span class="token punctuation">(</span>var i <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span> i <span class="token operator"><</span> count<span class="token punctuation">.</span>Length<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span>
count<span class="token punctuation">[</span>i<span class="token punctuation">]</span> <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
<span class="token function">foreach</span> <span class="token punctuation">(</span><span class="token keyword">int</span> i in input<span class="token punctuation">)</span>
count<span class="token punctuation">[</span>i <span class="token operator">-</span> min<span class="token punctuation">]</span><span class="token operator">++</span><span class="token punctuation">;</span>
<span class="token keyword">for</span> <span class="token punctuation">(</span>var i <span class="token operator">=</span> min<span class="token punctuation">;</span> i <span class="token operator"><=</span> max<span class="token punctuation">;</span> i<span class="token operator">++</span><span class="token punctuation">)</span>
<span class="token punctuation">{</span>
<span class="token keyword">while</span> <span class="token punctuation">(</span>count<span class="token punctuation">[</span>i <span class="token operator">-</span> min<span class="token punctuation">]</span><span class="token operator">--</span> <span class="token operator">></span> <span class="token number">0</span><span class="token punctuation">)</span>
<span class="token punctuation">{</span>
input<span class="token punctuation">[</span>z<span class="token punctuation">]</span> <span class="token operator">=</span> i<span class="token punctuation">;</span>
<span class="token operator">++</span>z<span class="token punctuation">;</span>
<span class="token punctuation">}</span>
<span class="token punctuation">}</span>
<span class="token punctuation">}</span>
<span class="token keyword">public</span> <span class="token keyword">static</span> <span class="token keyword">int</span><span class="token punctuation">[</span><span class="token punctuation">]</span> <span class="token function">Main</span><span class="token punctuation">(</span><span class="token keyword">int</span><span class="token punctuation">[</span><span class="token punctuation">]</span> input<span class="token punctuation">)</span>
<span class="token punctuation">{</span>
<span class="token function">SortCounting</span><span class="token punctuation">(</span>input<span class="token punctuation">,</span> input<span class="token punctuation">.</span><span class="token function">Min</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">,</span> input<span class="token punctuation">.</span><span class="token function">Max</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
<span class="token keyword">return</span> input<span class="token punctuation">;</span>
<span class="token punctuation">}</span>
<span class="token punctuation">}</span>
</code></pre></div></div> <footer class="page-edit"><div class="edit-link"><a href="https://github.com/devtut/generate/edit/master/docs/algorithm/counting-sort.md" target="_blank" rel="noopener noreferrer">Edit this page on GitHub</a> <span><svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15" class="icon outbound"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path> <polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg> <span class="sr-only">(opens new window)</span></span></div> <!----></footer> <div class="page-nav"><p class="inner"><span class="prev">
←
<a href="/algorithm/quicksort.html" class="prev">
Quicksort
</a></span> <span class="next"><a href="/algorithm/heap-sort.html">
Heap Sort
</a>
→
</span></p></div> </main></div><div class="global-ui"><!----></div></div>
<script src="/assets/js/app.1779e102.js" defer></script><script src="/assets/js/3.2cfa8016.js" defer></script><script src="/assets/js/28.418cc61e.js" defer></script>
</body>
</html>