For technical reasons, some programming languages (Kotlin, C #) will not be available during round 877. ×

D. LCS Again
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given a string S of length n with each character being one of the first m lowercase English letters.

Calculate how many different strings T of length n composed from the first m lowercase English letters exist such that the length of LCS (longest common subsequence) between S and T is n - 1.

Recall that LCS of two strings S and T is the longest string C such that C both in S and T as a subsequence.

Input

The first line contains two numbers n and m denoting the length of string S and number of first English lowercase characters forming the character set for strings (1 ≤ n ≤ 100 000, 2 ≤ m ≤ 26).

The second line contains string S.

Output

Print the only line containing the answer.

Examples
Input
3 3
aaa
Output
6
Input
3 3
aab
Output
11
Input
1 2
a
Output
1
Input
10 9
abacadefgh
Output
789
Note

For the first sample, the 6 possible strings T are: aab, aac, aba, aca, baa, caa.

For the second sample, the 11 possible strings T are: aaa, aac, aba, abb, abc, aca, acb, baa, bab, caa, cab.

For the third sample, the only possible string T is b.