Binary TreesBinary Trees36
  1. 1Preorder Traversal of a Binary Tree using Recursion
  2. 2Preorder Traversal of a Binary Tree using Iteration
  3. 3Inorder Traversal of a Binary Tree using Recursion
  4. 4Inorder Traversal of a Binary Tree using Iteration
  5. 5Postorder Traversal of a Binary Tree Using Recursion
  6. 6Postorder Traversal of a Binary Tree using Iteration
  7. 7Level Order Traversal of a Binary Tree using Recursion
  8. 8Level Order Traversal of a Binary Tree using Iteration
  9. 9Reverse Level Order Traversal of a Binary Tree using Iteration
  10. 10Reverse Level Order Traversal of a Binary Tree using Recursion
  11. 11Find Height of a Binary Tree
  12. 12Find Diameter of a Binary Tree
  13. 13Find Mirror of a Binary Tree
  14. 14Left View of a Binary Tree
  15. 15Right View of a Binary Tree
  16. 16Top View of a Binary Tree
  17. 17Bottom View of a Binary Tree
  18. 18Zigzag Traversal of a Binary Tree
  19. 19Check if a Binary Tree is Balanced
  20. 20Diagonal Traversal of a Binary Tree
  21. 21Boundary Traversal of a Binary Tree
  22. 22Construct a Binary Tree from a String with Bracket Representation
  23. 23Convert a Binary Tree into a Doubly Linked List
  24. 24Convert a Binary Tree into a Sum Tree
  25. 25Find Minimum Swaps Required to Convert a Binary Tree into a BST
  26. 26Check if a Binary Tree is a Sum Tree
  27. 27Check if All Leaf Nodes are at the Same Level in a Binary Tree
  28. 28Lowest Common Ancestor (LCA) in a Binary Tree
  29. 29Solve the Tree Isomorphism Problem
  30. 30Check if a Binary Tree Contains Duplicate Subtrees of Size 2 or More
  31. 31Check if Two Binary Trees are Mirror Images
  32. 32Calculate the Sum of Nodes on the Longest Path from Root to Leaf in a Binary Tree
  33. 33Print All Paths in a Binary Tree with a Given Sum
  34. 34Find the Distance Between Two Nodes in a Binary Tree
  35. 35Find the kth Ancestor of a Node in a Binary Tree
  36. 36Find All Duplicate Subtrees in a Binary Tree
GraphsGraphs46
  1. 1Breadth-First Search in Graphs
  2. 2Depth-First Search in Graphs
  3. 3Number of Provinces in an Undirected Graph
  4. 4Connected Components in a Matrix
  5. 5Rotten Oranges Problem - BFS in Matrix
  6. 6Flood Fill Algorithm - Graph Based
  7. 7Detect Cycle in an Undirected Graph using DFS
  8. 8Detect Cycle in an Undirected Graph using BFS
  9. 9Distance of Nearest Cell Having 1 - Grid BFS
  10. 10Surrounded Regions in Matrix using Graph Traversal
  11. 11Number of Enclaves in Grid
  12. 12Word Ladder - Shortest Transformation using Graph
  13. 13Word Ladder II - All Shortest Transformation Sequences
  14. 14Number of Distinct Islands using DFS
  15. 15Check if a Graph is Bipartite using DFS
  16. 16Topological Sort Using DFS
  17. 17Topological Sort using Kahn's Algorithm
  18. 18Cycle Detection in Directed Graph using BFS
  19. 19Course Schedule - Task Ordering with Prerequisites
  20. 20Course Schedule 2 - Task Ordering Using Topological Sort
  21. 21Find Eventual Safe States in a Directed Graph
  22. 22Alien Dictionary Character Order
  23. 23Shortest Path in Undirected Graph with Unit Distance
  24. 24Shortest Path in DAG using Topological Sort
  25. 25Dijkstra's Algorithm Using Set - Shortest Path in Graph
  26. 26Dijkstra’s Algorithm Using Priority Queue
  27. 27Shortest Distance in a Binary Maze using BFS
  28. 28Path With Minimum Effort in Grid using Graphs
  29. 29Cheapest Flights Within K Stops - Graph Problem
  30. 30Number of Ways to Reach Destination in Shortest Time - Graph Problem
  31. 31Minimum Multiplications to Reach End - Graph BFS
  32. 32Bellman-Ford Algorithm for Shortest Paths
  33. 33Floyd Warshall Algorithm for All-Pairs Shortest Path
  34. 34Find the City With the Fewest Reachable Neighbours
  35. 35Minimum Spanning Tree in Graphs
  36. 36Prim's Algorithm for Minimum Spanning Tree
  37. 37Disjoint Set (Union-Find) with Union by Rank and Path Compression
  38. 38Kruskal's Algorithm - Minimum Spanning Tree
  39. 39Minimum Operations to Make Network Connected
  40. 40Most Stones Removed with Same Row or Column
  41. 41Accounts Merge Problem using Disjoint Set Union
  42. 42Number of Islands II - Online Queries using DSU
  43. 43Making a Large Island Using DSU
  44. 44Bridges in Graph using Tarjan's Algorithm
  45. 45Articulation Points in Graphs
  46. 46Strongly Connected Components using Kosaraju's Algorithm

Check if Two Strings are Anagrams

Problem Statement

Given two strings s1 and s2, determine whether they are anagrams of each other.

  • Two strings are considered anagrams if they contain the same characters with the same frequency, but possibly in a different order.
  • The comparison should be case-insensitive, and spacing or punctuation is not ignored unless explicitly stated.

If either string is empty or null, handle appropriately.

Examples

s1 s2 Are Anagrams? Description
"listen" "silent" true Characters match in count and type
"Listen" "Silent" true Case-insensitive comparison
"triangle" "integral" true Same characters in different order
"abc" "def" false Completely different characters
"aabbcc" "abccba" true Same letters and same frequency
"aabbcc" "abc" false Frequencies do not match
"hello" "helloo" false Different lengths
"" "" true Both strings are empty
"" "abc" false One string is empty
"" "" true Empty strings are technically anagrams of each other

Visualization Player

Solution

To determine if two strings are anagrams, we need to check if they contain the exact same characters with the exact same frequency, regardless of order or case. For beginners, think of it like this: can one string be rearranged to form the other?

Let’s Break Down the Possibilities

Case 1: Different lengths
If the strings have different lengths, they cannot be anagrams. For example, 'hello' and 'helloo' cannot be rearranged into each other—one has an extra character.

Case 2: Same letters, same frequency
This is the classic anagram case. 'listen' and 'silent' both have the letters l, i, s, t, e, n exactly once. So they are anagrams.

Case 3: Same letters, different frequency
If 's1' = 'aabbcc' and 's2' = 'abc', the letters may match but the count is different. Two 'a's in one string and only one in the other. So, not an anagram.

Case 4: Completely different letters
Obvious case—'abc' and 'xyz' share no characters at all, so they are not anagrams.

Case 5: Case sensitivity
We usually want to ignore case. So 'Listen' and 'Silent' should be considered anagrams. This means we convert both strings to lowercase before comparing.

Case 6: Empty strings
If both strings are empty, we consider them trivially anagrams—they contain the same (no) characters. But if only one is empty and the other is not, they are not anagrams.

What’s the Best Way to Solve This?

We compare the frequency of each character in both strings using a data structure like a map or dictionary. After converting both to lowercase, we count how many times each character appears in each string. If all characters and their frequencies match, they’re anagrams.

This solution is efficient and works in linear time relative to the length of the strings, since we only pass through each character a couple of times.

Algorithm Steps

  1. If the lengths of s1 and s2 are different, return false immediately.
  2. Convert both strings to lowercase to handle case-insensitivity.
  3. Initialize two hash maps: map1 and map2.
  4. Loop through each character in s1 and count frequency in map1.
  5. Loop through each character in s2 and count frequency in map2.
  6. If the number of unique keys in map1 and map2 differ, return false.
  7. Check each key in map1 and compare its count with map2. If any mismatch, return false.
  8. If all checks pass, return true.

Code

Python
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C
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C#
Kotlin
Swift
Go
Php
def is_anagram(s1, s2):
    if len(s1) != len(s2):
        return False  # If lengths differ, can't be anagram

    s1, s2 = s1.lower(), s2.lower()
    map1, map2 = {}, {}

    for ch in s1:
        map1[ch] = map1.get(ch, 0) + 1  # Count frequency in s1
    for ch in s2:
        map2[ch] = map2.get(ch, 0) + 1  # Count frequency in s2

    if len(map1) != len(map2):
        return False  # Different set of characters

    for key in map1:
        if map1[key] != map2.get(key):
            return False  # Frequency mismatch

    return True

# Example usage
print(is_anagram("listen", "silent"))  # True
print(is_anagram("Hello", "Olelh"))    # True
print(is_anagram("Hi", "Bye"))          # False

Time Complexity

CaseTime ComplexityExplanation
Best CaseO(n)We scan both strings once to populate the maps and compare them.
Average CaseO(n)Each character is processed once in both strings and looked up in hash maps.
Worst CaseO(n)All characters are processed and map comparisons done linearly.

Space Complexity

O(1)

Explanation: At most 26 characters are stored in the maps (for alphabetic strings), making space constant for English letters.