You are given two strings s and t, both of which are anagrams of each other, and an integer k.

Your task is to determine whether it is possible to split the string s into k equal-sized substrings, rearrange the substrings, and concatenate them in any order to create a new string that matches the given string t.

Return true if this is possible, otherwise, return false.

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

A substring is a contiguous non-empty sequence of characters within a string.

 

Example 1:

Input: s = "abcd", t = "cdab", k = 2

Output: true

Explanation:

Example 2:

Input: s = "aabbcc", t = "bbaacc", k = 3

Output: true

Explanation:

Example 3:

Input: s = "aabbcc", t = "bbaacc", k = 2

Output: false

Explanation:

 

Constraints: