Anagram Check Techniques in DSA C++ - 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 help in checking if two strings are anagrams?

By sorting both strings alphabetically, if they are anagrams, the sorted strings will be identical.

intermediate

Explain the frequency count method 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

Why is the frequency count method often more efficient than sorting for anagram checks?

Frequency count runs in linear time O(n), while sorting takes O(n log n), making frequency count faster for large strings.

beginner

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

An array (for fixed character sets like ASCII) or a hash map/dictionary (for variable character sets) is used to count character frequencies.

Which of the following is a valid method to check if two strings are anagrams?

A Sort both strings and compare

B Check if strings have the same length only

C Compare first characters only

D Check if one string is substring of the other

Sorting both strings and comparing them is a valid method to check for anagrams.

What is the time complexity of the frequency count method for anagram checking?

A O(n log n)

B O(n)

C O(n^2)

D O(1)

Frequency count method runs in linear time O(n), where n is the length of the strings.

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

A Yes, always

B Only if one is a substring of the other

C No, never

D Only if they have the same first character

Anagrams must have the same length because they use the exact same letters.

Which data structure is best for counting character frequencies in ASCII strings?

A Array

B Queue

C Stack

D Linked list

An array indexed by character codes is efficient for counting frequencies in ASCII strings.

What does it mean if frequency counts of two strings differ for any character?

A Strings are palindromes

B Strings are anagrams

C Strings have different lengths

D Strings are not anagrams

If frequency counts differ, the strings cannot be anagrams.

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

Think about rearranging letters or counting letters.

Explain why checking string length is important before anagram checking.

Length mismatch means no need to check further.

Practice

1. What is the main idea behind checking if two strings are anagrams?

easy

A. Both strings have the same characters with the same frequency

B. Both strings have the same length only

C. Both strings start with the same character

D. Both strings contain only alphabets

Solution

1. Step 1: Understand what an anagram means

   An anagram means two strings contain the same characters with the same frequency, but possibly in different orders.

2. Step 2: Identify the key condition for anagram check

   The key condition is that both strings must have the same characters appearing the same number of times.

3. Final Answer:

   Both strings have the same characters with the same frequency -> Option A

4. Quick Check:

   Anagram = Same characters & frequency [OK]

Hint: Check character counts match for both strings [OK]

Common Mistakes:

• Only checking string length
• Ignoring character frequency
• Assuming order matters
• Checking only first character

2. Which of the following C++ code snippets correctly sorts a string s to help check an anagram?

easy

A. std::sort(s.begin(), s.end());

B. sort(s, s+length);

C. std::sort(s, s+strlen(s));

D. sort(s.begin(), s.end(), compare);

Solution

1. Step 1: Identify correct sorting syntax for std::string

   For std::string, sorting is done using iterators: s.begin() and s.end().

2. Step 2: Check each option for correctness

   std::sort(s.begin(), s.end()); uses std::sort(s.begin(), s.end()); which is correct. sort(s, s+length); and C use pointer arithmetic which is invalid for std::string. sort(s.begin(), s.end(), compare); uses a comparator but is incomplete without defining it.

3. Final Answer:

   std::sort(s.begin(), s.end()); -> Option A

4. Quick Check:

   Sort string with iterators = std::sort(s.begin(), s.end()) [OK]

Hint: Use s.begin() and s.end() with std::sort for strings [OK]

Common Mistakes:

• Using pointer arithmetic on std::string
• Forgetting std:: namespace
• Using incomplete comparator
• Sorting only part of the string

3. What will be the output of the following C++ code snippet?

std::string s1 = "listen";
std::string s2 = "silent";
std::sort(s1.begin(), s1.end());
std::sort(s2.begin(), s2.end());
if (s1 == s2) std::cout << "Anagrams";
else std::cout << "Not Anagrams";

medium

A. Not Anagrams

B. Anagrams

C. Compilation Error

D. Runtime Error

Solution

1. Step 1: Sort both strings

   After sorting, s1 becomes "eilnst" and s2 becomes "eilnst".

2. Step 2: Compare sorted strings

   Since both sorted strings are equal, the condition s1 == s2 is true, so it prints "Anagrams".

3. Final Answer:

   Anagrams -> Option B

4. Quick Check:

   Sorted strings equal = Anagrams [OK]

Hint: Sort both strings and compare for equality [OK]

Common Mistakes:

• Not sorting strings before comparison
• Confusing output with original strings
• Assuming order matters
• Ignoring case sensitivity

4. Identify the error in the following C++ code for checking anagrams:

bool areAnagrams(std::string s1, std::string s2) {
    if (s1.length() != s2.length()) return false;
    std::sort(s1.begin(), s1.end());
    std::sort(s2.begin(), s2.end());
    return s1.compare(s2);
}

medium

A. Length check is incorrect

B. Missing header <algorithm> for sort

C. Strings should be passed by reference

D. Using s1.compare(s2) returns int, not bool

Solution

1. Step 1: Understand std::string::compare return type

   The compare function returns 0 if strings are equal, else non-zero integer.

2. Step 2: Check return type of function

   The function returns bool but returns s1.compare(s2) which is int, so it will not return correct boolean value.

3. Final Answer:

   Using s1.compare(s2) returns int, not bool -> Option D

4. Quick Check:

   compare() returns int, need == 0 for bool [OK]

Hint: Use (s1.compare(s2) == 0) to get bool result [OK]

Common Mistakes:

• Returning compare() directly as bool
• Ignoring header includes
• Passing strings by value unnecessarily
• Incorrect length check logic

5. Given two strings, which approach is best to check anagrams efficiently when strings contain only lowercase English letters?

hard

A. Sort both strings and compare

B. Use nested loops to check each character presence

C. Use a frequency array of size 26 to count characters

D. Convert strings to uppercase and compare

Solution

1. Step 1: Analyze sorting approach

   Sorting takes O(n log n) time, which is good but not optimal for fixed character set.

2. Step 2: Analyze frequency array approach

   Using a frequency array of size 26 counts characters in O(n) time, which is faster and uses constant extra space.

3. Step 3: Compare other options

   Nested loops are inefficient O(n^2). Converting case does not check anagram correctness.

4. Final Answer:

   Use a frequency array of size 26 to count characters -> Option C

5. Quick Check:

   Frequency array = O(n) efficient anagram check [OK]

Hint: Count chars with array for O(n) anagram check [OK]

Common Mistakes:

• Using sorting for large strings unnecessarily
• Using nested loops causing slow performance
• Ignoring character set constraints
• Assuming case conversion solves anagram check