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.awt.*;
import java.util.*;
import java.io.*;

public class Main {
    public static void main(String[] args) throws Exception {
        FastReader sc = new FastReader();
        StringBuilder sb = new StringBuilder();
        int t=sc.nextInt();
        while(t-->0){
            int a=sc.nextInt(),b=sc.nextInt(),q=sc.nextInt();
            if(a>b){
                int temp=b;
                b=a;
                a=temp;
            }
            int lcm=a*b/gcd(a,b);
            int s=lcm-b;
            while(q-->0){
                long l=sc.nextLong(),r=sc.nextLong();
                long x=((l-1)/lcm)*s;
                long x1=(l-1)%lcm;
                if(x1>=b)x+=(x1-b+1);

                long y=(r/lcm)*s;
                long y1=r%lcm;
                if(y1>=b)y+=(y1-b+1);

                sb.append((y-x)+" ");
            }
            sb.append("\n");
        }
        System.out.println(sb);
    }
    static int gcd(int a,int b){
        if(b==0)return a;
        else return gcd(b,a%b);
    }
}
class FastReader {
    BufferedReader br;
    StringTokenizer st;

    public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); }
    String next() {
        while (st == null || !st.hasMoreElements()) {
            try {
                st = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                e.printStackTrace();
            }
        }
        return st.nextToken();
    }
    int nextInt() { return Integer.parseInt(next()); }
    long nextLong() { return Long.parseLong(next()); }
    double nextDouble() { return Double.parseDouble(next()); }
    String nextLine() {
        String str = "";
        try {
            str = br.readLine();
        } catch (IOException e) {
            e.printStackTrace();
        }
        return str;
    }
}