Problem: You are given a string S of length N consisting of `A`, `C`, `G` and `T`. Answer the following Q queries:

* Query i (1 \leq i \leq Q): You will be given integers l_i and r_i (1 \leq l_i < r_i \leq N). Consider the substring of S starting at index l_i and ending at index r_i (both inclusive). In this string, how many times does `AC` occurs as a substring?

Constraints

* 2 \leq N \leq 10^5
* 1 \leq Q \leq 10^5
* S is a string of length N.
* Each character in S is `A`, `C`, `G` or `T`.
* 1 \leq l_i < r_i \leq N

Input

Input is given from Standard Input in the following format:


N Q
S
l_1 r_1
:
l_Q r_Q


Output

Print Q lines. The i-th line should contain the answer to the i-th query.

Example

Input

8 3
ACACTACG
3 7
2 3
1 8


Output

2
0
3

Solution (in JAVA):

Solution:

import java.util.Scanner;

public class Main {

	public static void main(String args[])
	{
		Scanner scan=new Scanner(System.in);
		int n=scan.nextInt();
		int q=scan.nextInt();
		String eg=scan.next();
		int prefix[]=new int[n];
		for(int i=1;i<n;i++)
		{
			if(eg.charAt(i)=='C'&& eg.charAt(i-1)=='A') {
				prefix[i]=prefix[i-1]+1;
			}else {
				prefix[i]=prefix[i-1];
			}
		}
		for(int i=0;i<q;i++)
		{
			int l=scan.nextInt();
			int r=scan.nextInt();
			r--;
			l--;
			System.out.println(prefix[r]-prefix[l]);
		}
			
		
	}
}