Problem Statement
Given two strings s and t , write a function to determine if t is an anagram of s.
Example
Input: s = "anagram", t = "nagaram"
Output: true
Input: s = "rat", t = "car"
Output: falseNote: You may assume the string contains only lowercase alphabets.
What is Anagram
First try to understand what an Anagram is. Its NOT about checking order of characters in a string.
Its about checking that:
- Each character in both strings has equal number of occurrence.
Solution - 1
A simple solution can be to sort the strings first, then compare.
Code
public boolean isAnagram_sort(String s, String t) {
if (s.length() != t.length()) {
return false;
}
char[] s1 = s.toCharArray();
char[] s2 = t.toCharArray();
Arrays.sort(s1);
Arrays.sort(s2);
return Arrays.equals(s1, s2);
}Complexity
It is equal to complexity taken by sorting.
Its O(nlogn)
Solution using counting number of characters - HashMap
Another simple solution is that we can use a HashMap<Character, Integer>.
- In one pass of first array, we can populate HashMap, which will have count of each character
- In iteration of second array, we can simply decrement count of found characters
- At any time, if the count becomes zero before we decrementing it. Which means, character count do not match.
Code
public boolean isAnagram(String s, String t) {
if (s.length() != t.length()) {
return false;
}
Map<Character, Integer> map = new HashMap<Character, Integer>();
for (int i=0; i<s.length(); i++) {
int count = map.getOrDefault(s.charAt(i), 0);
count ++;
map.put(s.charAt(i), count);
}
for (int i=0; i<t.length(); i++) {
int count = map.getOrDefault(t.charAt(i), 0);
if (count == 0) {
return false;
}
count --;
map.put(t.charAt(i), count);
}
return true;
}Complexity
Its O(n)
Solution by using array
Since we know that there are only lowercase characters. We know the unique number of characters will be 26.
- We can take an
Integer arrayofcount 26 - We can assume that first index corresponds to
a, second toband so on. - In first pass of an array, we can increment count according to location mentioned above
- While iterating second array, we can simply start decrementing count.
- And, at any point if we found the count to be negative. We return false.
Code
public boolean isAnagram_array(String s, String t) {
if (s.length() != t.length()) {
return false;
}
int count[] = new int[26];
for (int i=0; i<s.length(); i++) {
count[s.charAt(i) - 'a'] ++;
}
for (int i=0; i<t.length(); i++) {
if (count[t.charAt(i) - 'a'] <= 0) {
return false;
}
count[t.charAt(i) - 'a'] --;
}
return true;
}Note that t.charAt(i) - 'a' is just to manipulate our indexes.
Complexity
Its O(n)













