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Algorithms & Data
  • Overview
    • 1. Sort
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      • Bubble Sort
      • Insertion Sort
        • Insertion Sort:: singly linked list
          • Recursive
          • Using Array O(N), O(N)
          • Using Iteration O(N), O(1)
      • Quick Sort
      • Merge Sort
      • Heap Sort
      • Counting Sort
        • Counting Sort
          • Sort a String
        • Bucket Sort
        • Radix Sort
      • Topological Sort
    • 2. Data Structures
      • Array
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        • PreOrder, InOrder, PostOrder
          • Transfer between each
          • Traverse
        • Binary Tree
          • Binary Search Tree
      • Graph
        • Data Structure
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        • Detect a cycle in a Graph
          • DFS *
            • undirected clean code
          • Union Find
          • Count edges - undirected only
      • Linked List
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        • Javascript
        • Java
      • Union Find
        • Detect Cycle with Disjoint-set Union Find
        • Kruskal Algorithm
      • Heap
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      • Union Find: Disjoint Set
    • 3. How to construct Algorithm? Paradigm
      • Greedy Algorithm
        • Prim
        • Dijkstra
        • Prim vs Dijkstra
      • Dynamic Planning Techique
      • Dynamic Planning
      • Divide And Conquer
      • Brute force
      • Shortest path
        • BFS
        • Dijkstra algorithm: directed, shortest path
      • MST (Minimum Spanning Tree)
        • Prim vs Digkstra
        • Prim, Kruskal Why? only undirected graph?
        • Kruskal's Algorithm: undirected
        • Prim's Algorithm: undirected
  • Algorithm Problems
    • Problem Sources
    • AlgoExpert
      • Hardest
        • Merge Sort
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        • Primโ€™s Algorithm
        • Dijkstraโ€™s Algorithm
        • Kruskalโ€™s algorithm vs Primโ€™s algorithm
        • Topological Sort
        • Max Sum Increasing Subsequence
        • Find Nodes Distance K
        • Max Path Sum In Binary Tree
        • Validate Three Nodes
        • Same BST ?
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        • Missing Numbers
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        • Reverse Words in String
        • Valid IP Addresses
        • Group Anagrams
        • Longest Palindromic Substring
        • Next Greater Element
        • Sort Stack โ‡’ recursive good -
        • Sunset Views
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        • Min Max Stack Construction
        • Three Number Sort โ‡’ counting sort or radix sort โ‡’ three pointer with in-place swap
        • Staircase Traversal โ‡’ it is like the number of ways to change
        • Phone Number Mnemonics โ‡’ can use word and index to create each case without concatenation
        • Power Set
        • Permutations -
        • Merging LinkedLists
        • Sum Of Linked Lists -
        • Remove Kth Node From End -
        • Linked List Construction - Doubly Linked List ?
        • Min Heap Construction
        • Valid Starting City
        • Task Assignment - use two pointer
        • Two Colorable - Graph
        • Minimum Passes Of Matrix
        • Cycle in Graph -
        • Remove Islands -
        • Youngest Common Ancestor
        • River Sizes -
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        • Kadaneโ€™s Algorithm
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        • Find Closest Value In Bst
        • Non Constructible Change
        • Tournament Winner
        • Sorted Squared Array
        • Validate Subsequences
        • Two Number Sum
    • Daily Algorithms
      • 1. Topological Sort
      • 2. MST- Prim, Kruskal
      • 3. Cycle in a Graph
        • [Algo] Cycle in Graph (directed)
      • 4. Maximum sub array sum
        • Problem
        • Solutions
          • Brute Force
          • Divide And Conquer
          • Kadane's Algorithm - Dynamic
        • Empty Array allowed
        • Empty Array not allowed
        • Empty Array Not Allowed + circular
          • Double array:: O(N), O(N)
          • minimum subarray:: O(N), O(1)
      • 5. Detect a Cycle in a graph with a disjoint set (Union Find)
      • 6. Kruskal's Algorithm - Union Find
      • 7. Prim's Algorithm - Priority Queue
      • 8. Sort Array nlogn
      • 9. Shortest path - BFS
      • 10. Dijkstra algorithm
      • 11. Minimum spanning tree - points
      • 12. Minimum depth in a binary tree
      • 13. [Counting Sort]: H-index
      • 14. [shortest path]: Floyd-Warshall
      • 15. [Linked List]: reverse list
      • 16. [Linked List]: swap nodes in pairs
      • 17.[Linked List]: Merge k Sorted Lists
      • 18.[Linked list]:234. Palindrome Linked List
      • 19. [Linked List]: Linked List Cycle
      • 20. [Linked List] Reverse Linked List II
      • 21. [Linked List] sort a list - asc
      • 22. [Sort] Quick Sort
      • 23. [matrix] Spiral Matrix
      • 24. [matrix] Number of Islands
      • 25. [matrix] Valid Sudoku
      • 26. [matrix] Sudoku Solver
  • Top 75 LeetCode Questions to Save Your Time
    • Source
    • Problems
      • Interval
        • 56. Merge Intervals
        • 435. Non-overlapping Intervals
        • x 57. Insert Interval
      • Heap
        • x 295. Find Median from Data Stream
        • 347. Top K Frequent Elements
        • 23. Merge k Sorted Lists
      • Array
        • Untitled
        • 10. 11.ย Container With Most Water
        • 9. 15. 3Sum
        • 8. 33.ย Search in Rotated Sorted Array
        • 7. 153.ย Find Minimum in Rotated Sorted Array
        • x 6. 152. Maximum Product Subarray
        • 5. 53. Maximum Subarray
        • 4. 238. Product of Array Except Self
        • 1. Two Sums
        • 2. Best Time to Buy and Sell Stock
        • 3. Contains Duplicate
      • Binary
        • 190.ย Reverse Bits
        • 268. Missing Number
        • x 338.ย Counting Bits
        • 12. 191.ย Number of 1 Bits
        • 11. 371. Sum of Two Integers
      • Graph
        • x 417.ย Pacific Atlantic Water Flow
        • x 128. Longest Consecutive Sequence
        • 207.ย Course Schedule
        • 133. Clone Graph
        • 200. Number of Islands
      • Tree
        • x 297. Serialize and Deserialize Binary Tree
        • x 105. Construct Binary Tree from Preorder and Inorder Traversal
        • x 212. Word Search II
        • 211. Design Add and Search Words Data Structure
        • 208. Implement Trie (Prefix Tree)
        • 235.ย Lowest Common Ancestor of a Binary Search Tree
        • 230. Kth Smallest Element in a BST
        • 98.ย Validate Binary Search Tree
        • 572. Subtree of Another Tree
        • 297. Serialize and Deserialize Binary Tree ?
        • 102. Binary Tree Level Order Traversal
        • 124. Binary Tree Maximum Path Sum
        • 226. Invert Binary Tree
        • 100. Same Tree
        • 104. Maximum Depth of Binary Tree
      • Dynamic Programming
        • x 62.ย Unique Paths
        • x91. Decode Ways
        • 55. Jump Game
        • x 213. House Robber II
        • 198. House Robber
        • 377.ย Combination Sum IV
        • x 139. Word Break
        • 1143. Longest Common Subsequence
        • 300. Longest Increasing Subsequence
        • 322. Coin Change
        • 70. Climbing Stairs
        • 2023 0709 39.ย Combination Sum
      • String
        • x 76. Minimum Window Substring
        • 647.ย Palindromic Substrings
        • x 5. Longest Palindromic Substring
        • 125. Valid Palindrome
        • 20. Valid Parentheses
        • 49.ย Group Anagrams
        • 242. Valid Anagram
        • 5. Longest Palindromic Substring
        • 3. Longest Substring Without Repeating Characters
      • Matrix
        • x 48. Rotate Image
        • 79. Word Search
        • x 73. Set Matrix Zeroes
        • 54. Spiral Matrix
      • Linked List
        • 143. Reorder List
        • 19. Remove Nth Node From End of List
        • 23. Merge k Sorted Lists
        • 21. Merge Two Sorted Lists
        • 141. Linked List Cycle
        • 206. Reverse Linked List
  • Tip
    • Page 2
    • LinkedList
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On this page
  1. Overview
  2. 1. Sort
  3. Counting Sort

Counting Sort

PreviousCounting SortNextSort a String

Last updated 1 year ago

Counting sort

const MAX_NUM = 10000;
const MAX_SIZE = 10000;
function countingSort(numbers) {
	let maxNum = -Infinity;
	for (const n of numbers) {
		if (n <= maxNum) continue;
		maxNum = n;
	}

	// counts each number in numbers
	const counts = new Array(maxNum + 1).fill(0);
	for (const n of numbers) {
		counts[n] += 1;
	}

	// find each last index + 1 of each number
	const cumulatedCountSum = new Array(maxNum + 1).fill(0);
	cumulatedCountSum[0] = counts[0];
	for (let i = 1; i < maxNum + 1; i++) {
		cumulatedCountSum[i] = cumulatedCountSum[i - 1] + counts[i];
	}

	// sort 
	const answer = new Array(numbers.length);

	for (let i = 0; i < numbers.length; i++) {
		const n = numbers[i];
		const countedIndex = cumulatedCountSum[n];
		answer[countedIndex - 1] = n; // actual index = countedIndex - 1
		cumulatedCountSum[n] -= 1;
	}

	return answer;
}

countingSort([5, 5, 5, 3, 3, 1, 1, 0, 0]);
// output
{
  numbers: [
    5, 5, 5, 3, 3,
    1, 1, 0, 0
  ],
  counts: [ 2, 2, 0, 2, 0, 3 ],
  cumulatedCountSum: [ 2, 4, 4, 6, 6, 9 ],
}

// anwer
{
	answer: [
    0, 0, 1, 1, 3,
    3, 5, 5, 5
  ],
}
  • suffix array (N^2LogN โ‡’ NLogN)

When Quick sort? better? When Counting sort? better?

  • Range of elements is more distributed uniformly

  • When time is important than space

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