You are given two strings s and t, both consisting only of lowercase Latin letters.

The substring s[l..r] is the string which is obtained by taking characters s_l, s_{l + 1}, ..., s_r without changing the order.

Each of the occurrences of string a in a string b is a position i (1 ≤ i ≤ |b| - |a| + 1) such that b[i..i + |a| - 1] = a (|a| is the length of string a).

You are asked q queries: for the i-th query you are required to calculate the number of occurrences of string t in a substring s[l_i..r_i].

Input

The first line contains three integer numbers n, m and q (1 ≤ n, m ≤ 10^3, 1 ≤ q ≤ 10^5) — the length of string s, the length of string t and the number of queries, respectively.

The second line is a string s (|s| = n), consisting only of lowercase Latin letters.

The third line is a string t (|t| = m), consisting only of lowercase Latin letters.

Each of the next q lines contains two integer numbers l_i and r_i (1 ≤ l_i ≤ r_i ≤ n) — the arguments for the i-th query.

Output

Print q lines — the i-th line should contain the answer to the i-th query, that is the number of occurrences of string t in a substring s[l_i..r_i].

Examples

Input

10 3 4
codeforces
for
1 3
3 10
5 6
5 7


Output

0
1
0
1


Input

15 2 3
abacabadabacaba
ba
1 15
3 4
2 14


Output

4
0
3


Input

3 5 2
aaa
baaab
1 3
1 1


Output

0
0

Note

In the first example the queries are substrings: "cod", "deforces", "fo" and "for", respectively.
import java.io.*;
import java.util.*;

public class Main {
    private static FastScanner in = new FastScanner();
    private static FastOutput out = new FastOutput();

    public void run() {
        int n = in.nextInt(), m = in.nextInt(), q = in.nextInt();
        String s = in.next(), t = in.next();
        char[] sc = s.toCharArray(), tc = t.toCharArray();

        boolean[] ex = new boolean[n];

        for (int i = 0; i < n - m + 1; i++) {
            ex[i] = true;
            for (int j = 0; j < m; j++) {
                if (sc[i + j] != tc[j]) {
                    ex[i] = false;
                    break;
                }
            }
        }

        for (int i = 0; i < q; i++) {
            int l = in.nextInt(), r = in.nextInt();
            int count = 0;
            for (int j = l - 1; j < r - m + 1; j++) {
                if (ex[j])
                    count++;
            }
            out.println(count);
        }

    }


    public static void main(String[] args) {
        new Main().run();
        out.flush();
        out.close();
    }
}

class FastScanner {
    BufferedReader br;
    StringTokenizer st;

    FastScanner() {
        this(System.in);
    }

    FastScanner(InputStream stream) {
        br = new BufferedReader(new InputStreamReader(stream));
    }

    FastScanner(File file) {
        try {
            br = new BufferedReader(new FileReader(file));
        } catch (FileNotFoundException e) {
            throw new RuntimeException(e);
        }
    }

    String next() {
        while (st == null || !st.hasMoreTokens()) {
            try {
                st = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return st.nextToken();
    }

    int nextInt() {
        return Integer.parseInt(next());
    }

    long nextLong() {
        return Long.parseLong(next());
    }
}

class FastOutput {
    private final BufferedWriter bf;


    public FastOutput(OutputStream outputStream) {
        bf = new BufferedWriter(new OutputStreamWriter(outputStream));
    }

    public FastOutput() {
        this(System.out);
    }

    private void printOne(Object s) {
        try {
            bf.write(s.toString());
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public void println(Object s) {
        printOne(s);
        printOne("\n");
    }

    public void print(Object ...os) {
        printd(" ", os);
    }

    public void printd(String delimiter, Object ...os) {
        for (Object o : os) {
            printOne(o);
            printOne(delimiter);
        }
    }

    public void flush() {
        try {
            bf.flush();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public void close() {
        try {
            bf.close();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }
}