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.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Main {

	static final int MAX_N = 1000010;
	static final int INF = 0x3f3f3f3f;
	static final int mod = 1000000007;



	public static void main(String[] args) throws IOException {
		initReader(System.in);


		
//		int T = nextInt();
//		for (int i = 1; i <= T; i++)
			solve();


		pw.flush();
	}


	/*******************************************************************************************************************************/


	public static void solve() throws IOException {
		int n = nextInt();
		int q = nextInt();

		long[] a = new long[n + 1];

		char[] c = next().toCharArray();

		for (int i = 0; i < n; i++) {
			a[i + 1] = (c[i] - 'a' + 1);
		}

		for (int i = 1; i <= n; i++) {
			a[i] += a[i - 1];
		}

		while (q-- > 0) {
			int l = nextInt();
			int r = nextInt();

			pw.println(a[r] - a[l - 1]);
		}
	}



	/*******************************************************************************************************************************/

	static BufferedReader reader;
	static StringTokenizer tokenizer;
	static PrintWriter pw;

	public static void initReader(InputStream input) throws IOException {
		reader = new BufferedReader(new InputStreamReader(input));
		tokenizer = new StringTokenizer("");
		pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));

//		reader = new BufferedReader(new FileReader("ate.in"));
//		tokenizer = new StringTokenizer("");
//		printWriter = new PrintWriter(new BufferedWriter(new FileWriter("ate.out")));
	}

	public static boolean hasNext() {
		try {
			while (!tokenizer.hasMoreTokens()) {
				tokenizer = new StringTokenizer(reader.readLine());
			}
		} catch (Exception e) {
			return false;
		}
		return true;
	}

	public static String next() throws IOException {
		while (!tokenizer.hasMoreTokens()) {
			tokenizer = new StringTokenizer(reader.readLine());
		}
		return tokenizer.nextToken();
	}

	public static String nextLine() {
		try {
			return reader.readLine();
		} catch (Exception e) {
			return null;
		}
	}

	public static int nextInt() throws IOException {
		return Integer.parseInt(next());
	}

	public static long nextLong() throws IOException {
		return Long.parseLong(next());
	}

	public static double nextDouble() throws IOException {
		return Double.parseDouble(next());
	}

	public static char nextChar() throws IOException {
		return next().charAt(0);
	}
}


class Pair {
	int first, second;

	public Pair(int first, int second) {
		// TODO Auto-generated constructor stub

		this.first = first;
		this.second = second;
	}
}