K Anagrams

easy
1. You are given two strings s1, s2, and a number K.
2. You have to find if two strings are K-anagrams of each other or not.
3. Two strings are called K-anagrams if 
   -> Both s1 and s2 have the same number of characters.
   -> After changing K characters in any string, s1 and s2 become anagram of each other. 

Note -> Both s1 ad s2 consist of lowercase English letters only.

Input Format

Two strings s1 and s2 A number K

Output Format

true/false

Constraints

1 <= length of string s1 and s2 <= 20,000
1 <= K <= length of strings

Example

Input
fodr 
gork
2
Output
true
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