You are given a string s and an integer t, representing the number of transformations to perform. In one transformation, every character in s is replaced according to the following rules:

Return the length of the resulting string after exactly t transformations.

Since the answer may be very large, return it modulo 109 + 7.

 

Example 1:

Input: s = "abcyy", t = 2

Output: 7

Explanation:

Example 2:

Input: s = "azbk", t = 1

Output: 5

Explanation:

 

Constraints: