Problem:
Score : 300 points

Problem Statement

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?

Notes

A substring of a string T is a string obtained by removing zero or more characters from the beginning and the end of T.

For example, the substrings of ATCODER include TCO, AT, CODER, ATCODER and (the empty string), but not AC.

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.

Sample Input 1

8 3
ACACTACG
3 7
2 3
1 8

Sample Output 1

2
0
3

Query 1: the substring of S starting at index 3 and ending at index 7 is ACTAC. In this string, AC occurs twice as a substring.

Query 2: the substring of S starting at index 2 and ending at index 3 is CA. In this string, AC occurs zero times as a substring.

Query 3: the substring of S starting at index 1 and ending at index 8 is ACACTACG. In this string, AC occurs three times as a substring.

Solution in C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.IO;
using System.Linq;
using System.Text;
using System.Diagnostics;
using System.Collections;
using System.Collections.Generic;

namespace atcoder
{
    class Solver
    {
        //Solve
        public void Solve()
        {
            cin = new Scanner();

            int N = cin.nextint;
            int Q = cin.nextint;

            char[] c = cin.next.ToCharArray();
            int[] a = new int[c.Length - 1];

            for (int i = 0; i < c.Length - 1; i++)
            {
                if (c[i] == 'A' && c[i + 1] == 'C')
                {
                    a[i] = 1;
                }
                else
                {
                    a[i] = 0;
                }
            }

            int l;
            int r;
            for (int q = 0; q < Q; q++)
            {
                l = cin.nextint;
                r = cin.nextint;

                int[] chk = new int[r - l + 1];
                Array.Copy(a, l - 1, chk, 0, r - l);

                Console.WriteLine(chk.Sum());
            }
            return;
        }


        //Main
        public Solver() { }
        Scanner cin;
        public static int Main()
        {
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);
            new Solver().Solve();
            Console.Out.Flush();
            return 0;
        }

        //Util
        static bool IsOdd(long num) { return (num & 1) == 1; }
        static bool IsEven(long num) { return (num & 1) == 0; }
        static long GCD(long a, long b) { return b != 0 ? GCD(b, a % b) : a; }
    }

    class Scanner
    {
        string[] s; int i;
        readonly char[] cs = new char[] { ' ' };
        public Scanner() { s = new string[0]; i = 0; }
        public string[] scan => Console.ReadLine().Split();
        public int[] scanint => Array.ConvertAll(scan, int.Parse);
        public long[] scanlong => Array.ConvertAll(scan, long.Parse);
        public double[] scandouble => Array.ConvertAll(scan, double.Parse);
        public string next
        {
            get
            {
                if (i < s.Length) return s[i++];
                string st = Console.ReadLine();
                while (st == "") st = Console.ReadLine();
                s = st.Split(cs, StringSplitOptions.RemoveEmptyEntries);
                i = 0;
                return next;
            }
        }
        public int nextint => int.Parse(next);
        public long nextlong => long.Parse(next);
        public double nextdouble => double.Parse(next);
    }

    class Node<T>
    {
        private int m_height;
        private Node<T> m_parent;
        public T Item { get; private set; }
        public Node(T item)
        {
            m_height = 0;
            m_parent = this;
            Item = item;
        }
        public Node<T> Find()
        {
            if (m_parent == this) { return this; }

            Node<T> parent = m_parent.Find();
            m_parent = parent;
            return parent;
        }
        public static void Unite(Node<T> a, Node<T> b)
        {
            Node<T> p = a.Find();
            Node<T> q = b.Find();
            if (p.m_height < q.m_height)
            {
                p.m_parent = q;
                q.m_height = Math.Max(p.m_height + 1, q.m_height);
            }
            else
            {
                q.m_parent = p;
                p.m_height = Math.Max(q.m_height + 1, p.m_height);
            }
        }
    }
}