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.*;
 
public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int n=sc.nextInt();
		int q=sc.nextInt();
		String[] s = sc.next().split("");
		int[] t = new int[n];
		t[0]=0;
		for(int i=1;i<t.length;i++){
			t[i]=t[i-1];
			if(isAC(s[i-1],s[i]))t[i]++;
		}
		int[] pnt=new int[q];
		for(int i=0;i<q;i++){
			int l= sc.nextInt()-1;
			int r= sc.nextInt()-1;
			pnt[i]=t[r]-t[l];
		}
		for(int i=0;i<pnt.length;i++)System.out.println(pnt[i]);
	}
	
	
	static boolean isAC(String x,String y){
		if(x.equals("A")&&y.equals("C"))return true;
		else return false;
	}
}