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.util.Scanner;


public class Codeforces {

    static Scanner sc = new Scanner(System.in);

    static Long gcd(Long a, Long b) {
        if(b == 0) return a;
        return gcd(b,a%b);
    }

    static Long getCount(Long lim, Long period, Long range) {
        long ans = 0L;
        long blocks = lim/period;
        ans += blocks*range;
        long last = blocks*period;
        ans += Math.min(last+range-1,lim)-last+1;
        return ans;
    }

    public static void main(String[] args) {
        int t = sc.nextInt();

        for(int i=0;i<t;i++) {
            long a,b;
            int q;
            a = sc.nextLong();
            b = sc.nextLong();
            q = sc.nextInt();
            var lcm = (a*b)/gcd(a,b);
            var max = Math.max(a,b);


            for(int j=0;j<q;j++) {
                long l,r;
                l = sc.nextLong();
                r = sc.nextLong();
                var R = getCount(r,lcm,max);
                var L = getCount(l-1,lcm,max);
                var ans = r-l+1-(R-L);
                System.out.print(ans);
                if(j<q-1) System.out.print(" ");
                else System.out.println();
            }
        }
    }
}