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
#include <bits/stdc++.h>
using namespace std;
char a[100005];
int dp[100005];
int main()
{

 int n,q,num=0;
 cin>>n>>q;
 cin>>a+1;
 for(int i=1;i<=n;i++)
 {
   if (a[i]=='C'&&a[i-1]=='A') num++;
   dp[i]=num;

 }
 int s,e;
 for(int i=1;i<=q;i++)
 {
     cin>>s>>e;
     cout<<dp[e]-dp[s]<<endl;


 }


 return 0;
}
