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 bhavy seth
 */
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);
        TaskC solver = new TaskC();
        solver.solve(1, in, out);
        out.close();
    }

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

        public void solve(int testNumber, InputReader sc, PrintWriter out) {
            int t = sc.nextInt();
            while (t-- > 0) {
                int a = sc.nextInt();
                int b = sc.nextInt();
                if (a > b) {
                    int temp = a;
                    a = b;
                    b = temp;
                }
                int lcm = (a * b) / gcd(a, b);
                int pre[] = new int[lcm + 5];
                int tot = 0;
                for (int i = 1; i <= lcm; i++) {
                    if ((i % a) % b != (i % b) % a) {
                        tot++;
                    }
                    pre[i] = tot;
                }
                int q = sc.nextInt();
                while (q-- > 0) {
                    long l = sc.nextLong();
                    long r = sc.nextLong();
                    long c = (l - 1) / lcm;
                    long countl = c * tot;
                    long modl = (l - 1) % lcm;
                    countl += pre[(int) modl];
                    long d = r / lcm;
                    long countr = d * tot;
                    long modr = r % lcm;
                    countr += pre[(int) modr];
                    out.print((countr - countl) + " ");

                }
                out.println();
            }
        }

    }

    static class InputReader {
        BufferedReader br;
        StringTokenizer st;

        public InputReader(InputStream inputStream) {
            br = new BufferedReader(new
                    InputStreamReader(inputStream));
        }

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

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

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

    }
}