Anagram Check Techniques in DSA Typescript - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is an anagram?

An anagram is a word or phrase formed by rearranging the letters of another word or phrase, using all original letters exactly once.

beginner

How can sorting be used to check if two strings are anagrams?

Sort both strings alphabetically and compare them. If they are identical after sorting, they are anagrams.

intermediate

Explain the frequency counting technique for anagram checking.

Count the frequency of each character in both strings using a map or array. If all counts match, the strings are anagrams.

intermediate

What is the time complexity of the sorting method for anagram checking?

The time complexity is O(n log n), where n is the length of the strings, due to sorting.

intermediate

Why is frequency counting often preferred over sorting for anagram checks?

Frequency counting can be done in O(n) time, which is faster than sorting's O(n log n), especially for long strings.

Which technique involves sorting both strings to check for anagrams?

A Sorting method

B Frequency counting

C Hashing with prime numbers

D Brute force comparison

Sorting method sorts both strings and compares them to check if they are anagrams.

What is the main data structure used in frequency counting for anagram checks?

A Stack

B Queue

C Hash map or array

D Linked list

Frequency counting uses a hash map or array to count character occurrences.

If two strings have different lengths, can they be anagrams?

A Only if they share some characters

B Yes, always

C Only if one is a substring

D No, never

Anagrams must have the same length because they use the same letters exactly once.

What is the time complexity of frequency counting for anagram checking?

A O(n log n)

B O(n)

C O(n^2)

D O(1)

Frequency counting runs in O(n) time, where n is the string length.

Which of these is NOT a valid anagram check technique?

A Comparing string lengths only

B Counting character frequencies

C Sorting both strings

D Using prime number multiplication hashing

Comparing lengths alone cannot confirm anagrams; it only filters out impossible cases.

Describe two common techniques to check if two strings are anagrams.

Think about rearranging letters or counting how many times each letter appears.

Explain why frequency counting can be more efficient than sorting for anagram checks.

Consider the time it takes to sort versus just counting.

Practice

1. What does it mean if two strings are anagrams of each other?

easy

A. They contain the same characters in any order

B. They have the same length but different characters

C. They start with the same character

D. They end with the same character

Solution

1. Step 1: Understand the definition of anagrams

   Anagrams are words or phrases made by rearranging the letters of another, so they must have the same characters.

2. Step 2: Compare the character sets

   If two strings have exactly the same characters, just in different orders, they are anagrams.

3. Final Answer:

   They contain the same characters in any order -> Option A

4. Quick Check:

   Anagrams = same characters [OK]

Hint: Check if sorted strings match to confirm anagrams [OK]

Common Mistakes:

• Thinking same length means anagrams
• Only comparing first or last characters
• Ignoring character counts

2. Which TypeScript code snippet correctly checks if two strings are anagrams by sorting?

easy

A. const isAnagram = (a: string, b: string) => a.split('').sort().join('') === b.split('').sort().join('');

B. const isAnagram = (a: string, b: string) => a.split('').sort() === b.split('').sort();

C. const isAnagram = (a: string, b: string) => a.sort() === b.sort();

D. const isAnagram = (a: string, b: string) => a === b;

Solution

1. Step 1: Understand string sorting in TypeScript

   Strings must be split into arrays, sorted, then joined back to strings for comparison.

2. Step 2: Identify correct syntax

   const isAnagram = (a: string, b: string) => a.split('').sort().join('') === b.split('').sort().join(''); correctly splits, sorts, and joins both strings before comparing.

3. Final Answer:

   const isAnagram = (a: string, b: string) => a.split('').sort().join('') === b.split('').sort().join(''); -> Option A

4. Quick Check:

   Sort and join strings before compare [OK]

Hint: Always join after sorting arrays to compare strings [OK]

Common Mistakes:

• Comparing arrays directly without join
• Trying to sort strings directly
• Comparing strings without sorting

3. What is the output of this TypeScript code?

function areAnagrams(s1: string, s2: string): boolean {
  const normalize = (str: string) => str.toLowerCase().replace(/\s+/g, '').split('').sort().join('');
  return normalize(s1) === normalize(s2);
}

console.log(areAnagrams('Listen', 'Silent'));
console.log(areAnagrams('Hello', 'Olelh'));
console.log(areAnagrams('Test', 'Taste'));

medium

A. true false false

B. true true false

C. false true true

D. false false true

Solution

1. Step 1: Normalize strings by lowercasing, removing spaces, sorting

   'Listen' and 'Silent' normalize to 'eilnst', 'Hello' and 'Olelh' normalize to 'ehllo', 'Test' and 'Taste' normalize to 'estt' and 'aestt' respectively.

2. Step 2: Compare normalized strings

   'Listen' vs 'Silent' match (true), 'Hello' vs 'Olelh' match (true), 'Test' vs 'Taste' do not match (false).

3. Final Answer:

   true true false -> Option B

4. Quick Check:

   Normalized strings equal means true [OK]

Hint: Normalize strings before comparing for anagram check [OK]

Common Mistakes:

• Ignoring case differences
• Not removing spaces
• Not sorting characters

4. Identify the bug in this TypeScript function that checks anagrams:

function isAnagram(a: string, b: string): boolean {
  return a.split('').sort() === b.split('').sort();
}

medium

A. Not removing spaces before comparison

B. Missing toLowerCase() for case-insensitive check

C. Comparing arrays directly instead of strings

D. Using split() without arguments

Solution

1. Step 1: Understand array comparison in TypeScript

   Arrays compared with === check reference, not content, so two sorted arrays won't be equal even if same elements.

2. Step 2: Fix by joining arrays to strings before comparing

   Joining sorted arrays to strings allows content comparison, fixing the bug.

3. Final Answer:

   Comparing arrays directly instead of strings -> Option C

4. Quick Check:

   Arrays need join() before compare [OK]

Hint: Join sorted arrays before comparing for equality [OK]

Common Mistakes:

• Comparing arrays with ===
• Ignoring case sensitivity
• Not trimming spaces

5. Given two strings, how can you efficiently check if they are anagrams using a character count map in TypeScript? Which code snippet correctly implements this?

hard

A. function isAnagram(a: string, b: string): boolean {
if (a.length !== b.length) return false;
const count: Record = {};
for (const char of a) count[char] = (count[char] || 0) + 1;
for (const char of b) {
if (!count[char]) return false;
count[char]--;
}
return true;
}

B. function isAnagram(a: string, b: string): boolean {
return a.split('').sort().join('') === b.split('').sort().join('');
}

C. function isAnagram(a: string, b: string): boolean {
return a.length === b.length;
}

D. function isAnagram(a: string, b: string): boolean {
const mapA = new Map();
for (const c of a) mapA.set(c, (mapA.get(c) || 0) + 1);
for (const c of b) mapA.set(c, (mapA.get(c) || 0) - 1);
return [...mapA.values()].every(v => v === 0);
}

Solution

1. Step 1: Understand character count map approach

   Count characters in first string, subtract counts using second string, then check all counts zero.

2. Step 2: Analyze each option

   function isAnagram(a: string, b: string): boolean { if (a.length !== b.length) return false; const count: Record = {}; for (const char of a) count[char] = (count[char] || 0) + 1; for (const char of b) { if (!count[char]) return false; count[char]--; } return true; } misses checking if count goes negative; function isAnagram(a: string, b: string): boolean { return a.split('').sort().join('') === b.split('').sort().join(''); } uses sorting (correct but not map); function isAnagram(a: string, b: string): boolean { return a.length === b.length; } only checks length; function isAnagram(a: string, b: string): boolean { const mapA = new Map(); for (const c of a) mapA.set(c, (mapA.get(c) || 0) + 1); for (const c of b) mapA.set(c, (mapA.get(c) || 0) - 1); return [...mapA.values()].every(v => v === 0); } correctly uses Map to count and verify zero counts.

3. Final Answer:

   Option D correctly implements character count map with Map and zero check -> Option D

4. Quick Check:

   Map counts increment/decrement, all zero means anagram [OK]

Hint: Use map to count chars, decrement, then check all zero [OK]

Common Mistakes:

• Not checking for negative counts
• Only comparing lengths
• Using sorting instead of counting