Problem: Petya once wrote a sad love song and shared it to Vasya. The song is a string consisting of lowercase English letters. Vasya made up q questions about this song. Each question is about a subsegment of the song starting from the l-th letter to the r-th letter. Vasya considers a substring made up from characters on this segment and repeats each letter in the subsegment k times, where k is the index of the corresponding letter in the alphabet. For example, if the question is about the substring "abbcb", then Vasya repeats letter 'a' once, each of the letters 'b' twice, letter 'c" three times, so that the resulting string is "abbbbcccbb", its length is 10. Vasya is interested about the length of the resulting string.

Help Petya find the length of each string obtained by Vasya.

Input

The first line contains two integers n and q (1≤ n≤ 100 000, 1≤ q ≤ 100 000) — the length of the song and the number of questions. 

The second line contains one string s — the song, consisting of n lowercase letters of English letters.

Vasya's questions are contained in the next q lines. Each line contains two integers l and r (1 ≤ l ≤ r ≤ n) — the bounds of the question.

Output

Print q lines: for each question print the length of the string obtained by Vasya.

Examples

Input


7 3
abacaba
1 3
2 5
1 7


Output


4
7
11


Input


7 4
abbabaa
1 3
5 7
6 6
2 4


Output


5
4
1
5


Input


13 7
sonoshikumiwo
1 5
2 10
7 7
1 13
4 8
2 5
3 9


Output


82
125
9
191
62
63
97

Note

In the first example Vasya is interested in three questions. In the first question Vasya considers the substring "aba", that transforms to "abba", so the answer is equal to 4. In the second question Vasya considers "baca", that transforms to "bbaccca", so the answer is 7. In the third question Vasya considers the string "abacaba",that transforms to "abbacccabba" of length 11.

Solution (in JAVA):

Solution:

import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.BigInteger;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.math.BigInteger;
import java.util.List;
import java.util.Map;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;

public class k
{		
	 static class Reader {
		 
	        final private int BUFFER_SIZE = 1 << 16;
	        private DataInputStream din;
	        private byte[] buffer;
	        private int bufferPointer, bytesRead;
	 
	        public Reader()
	        {
	            din = new DataInputStream(System.in);
	            buffer = new byte[BUFFER_SIZE];
	            bufferPointer = bytesRead = 0;
	        }
	 
	        public Reader(String file_name) throws IOException
	        {
	            din = new DataInputStream(
	                new FileInputStream(file_name));
	            buffer = new byte[BUFFER_SIZE];
	            bufferPointer = bytesRead = 0;
	        }
	 
	        public String readLine() throws IOException
	        {
	            byte[] buf = new byte[64]; // line length
	            int cnt = 0, c;
	            while ((c = read()) != -1) {
	                if (c == '\n') {
	                    if (cnt != 0) {
	                        break;
	                    }
	                    else {
	                        continue;
	                    }
	                }
	                buf[cnt++] = (byte)c;
	            }
	            return new String(buf, 0, cnt);
	        }
	 
	        public int nextInt() throws IOException
	        {
	            int ret = 0;
	            byte c = read();
	            while (c <= ' ') {
	                c = read();
	            }
	            boolean neg = (c == '-');
	            if (neg)
	                c = read();
	            do {
	                ret = ret * 10 + c - '0';
	            } while ((c = read()) >= '0' && c <= '9');
	 
	            if (neg)
	                return -ret;
	            return ret;
	        }
	 
	        public long nextLong() throws IOException
	        {
	            long ret = 0;
	            byte c = read();
	            while (c <= ' ')
	                c = read();
	            boolean neg = (c == '-');
	            if (neg)
	                c = read();
	            do {
	                ret = ret * 10 + c - '0';
	            } while ((c = read()) >= '0' && c <= '9');
	            if (neg)
	                return -ret;
	            return ret;
	        }
	 
	        public double nextDouble() throws IOException
	        {
	            double ret = 0, div = 1;
	            byte c = read();
	            while (c <= ' ')
	                c = read();
	            boolean neg = (c == '-');
	            if (neg)
	                c = read();
	 
	            do {
	                ret = ret * 10 + c - '0';
	            } while ((c = read()) >= '0' && c <= '9');
	 
	            if (c == '.') {
	                while ((c = read()) >= '0' && c <= '9') {
	                    ret += (c - '0') / (div *= 10);
	                }
	            }
	 
	            if (neg)
	                return -ret;
	            return ret;
	        }
	 
	        private void fillBuffer() throws IOException
	        {
	            bytesRead = din.read(buffer, bufferPointer = 0,
	                                 BUFFER_SIZE);
	            if (bytesRead == -1)
	                buffer[0] = -1;
	        }
	 
	        private byte read() throws IOException
	        {
	            if (bufferPointer == bytesRead)
	                fillBuffer();
	            return buffer[bufferPointer++];
	        }
	 
	        public void close() throws IOException
	        {
	            if (din == null)
	                return;
	            din.close();
	        }
	 }
	static void sortLexicographically(String strArr[])
	    {
	        for (int i = 0; i < strArr.length; i++) {
	            for (int j = i + 1; j < strArr.length; j++) {
	                if (strArr[i].compareToIgnoreCase(strArr[j])
	                    > 0) {
	                    String temp = strArr[i];
	                    strArr[i] = strArr[j];
	                    strArr[j] = temp;
	                }
	            }
	        }
	    }
	public static void main(String args[]) throws NumberFormatException, IOException ,java.lang.Exception
	{
		
		//Reader reader = new Reader();
		//Scanner reader=new Scanner(System.in);
		//BufferedWriter output = new BufferedWriter(new OutputStreamWriter(System.out));
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		//int cases=Integer.parseInt(br.readLine());
		int cases=1;	
		//int cases=reader.nextInt();
		
   	while (cases-->0){
   	
   		//int X=reader.nextInt();
   		//int Y=reader.nextInt();
   		
   		// k=reader.nextInt();
   		
   		String[] first=br.readLine().split(" ");
   		int X=Integer.parseInt(first[0]);
   		int Y=Integer.parseInt(first[1]);
   		char[] str=new char[X];
   		//int X=reader.nextInt();
   		//int Y=reader.nextInt();
   		//System.out.println("1 1 "+X+" "+Y);
   		//String[] fir=br.readLine().split(" ");
   		//String str=fir[0];
   		String[] x=br.readLine().split("");
   		long[] sum=new long[X+1];
   		sum[0]=0;
   		for(int i=0;i<X;i++)
   		{
   			sum[i+1]=sum[i]+x[i].charAt(0)-96;
   			//System.out.println(sum[i+1]);
   		}
   		for(int i=0;i<Y;i++)
   		{
   			String[] fir=br.readLine().split(" ");
   	   		int l=Integer.parseInt(fir[0]);
   	   		int r=Integer.parseInt(fir[1]);
   			
   			System.out.println(sum[r]-sum[l-1]);
   		}
   		
             }
  
	}
}