Problem: You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i ≤ x ≤ r_i, and ((x mod a) mod b) ≠ ((x mod b) mod a). Calculate the answer for each query.

Recall that y mod z is the remainder of the division of y by z. For example, 5 mod 3 = 2, 7 mod 8 = 7, 9 mod 4 = 1, 9 mod 9 = 0.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then the test cases follow.

The first line of each test case contains three integers a, b and q (1 ≤ a, b ≤ 200; 1 ≤ q ≤ 500).

Then q lines follow, each containing two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 10^{18}) for the corresponding query.

Output

For each test case, print q integers — the answers to the queries of this test case in the order they appear.

Example

Input


2
4 6 5
1 1
1 3
1 5
1 7
1 9
7 10 2
7 8
100 200


Output


0 0 0 2 4 
0 91 

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Tarek
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        CYetAnotherCountingProblem solver = new CYetAnotherCountingProblem();
        solver.solve(1, in, out);
        out.close();
    }

    static class CYetAnotherCountingProblem {
        long gcd(int a, int b) {
            if (a == 0)
                return b;
            return gcd(b % a, a);
        }

        long lcm(int a, int b) {
            return 1l * (a * b) / gcd(a, b);
        }

        long solve2(long x, long lcm, int a) {
            long res = (x / lcm) * (lcm - a);
            x %= lcm;
            if (x >= a) res += (x - a + 1);
            return res;
        }

        public void solve(int testNumber, InputReader in, PrintWriter out) {
            int q = in.nextInt();
            while (q-- > 0) {
                int a = in.nextInt(), b = in.nextInt();
                if (b > a) {
                    int temp = a;
                    a = b;
                    b = temp;
                }
                int queries = in.nextInt();
                long LCM = lcm(a, b);
                while (queries-- > 0) {
                    long l = in.nextLong(), r = in.nextLong();
                    out.print(solve2(r, LCM, a) - solve2(l - 1, LCM, a) + " ");
                }
                out.println();
            }
        }

    }

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

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

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

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

    }
}