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 PYTHON3):

Solution:
from sys import stdin, gettrace
from math import gcd


if not gettrace():
    def input():
        return next(stdin)[:-1]


# def input():
#    return stdin.buffer.readline()

def main():
    def solve():
        a, b, q = map(int, input().split())
        lcm = (a * b)//gcd(a, b)
        res = []
        mx = max(a, b)
        for _ in range(q):
            l, r = map(int, input().split())
            left = max(0, mx - l%lcm)
            right = max(0, mx - (r+1)%lcm)
            res.append(r+1 - l - ((r+1)//lcm - l//lcm)*mx - left + right)
        print(' '.join(map(str, res)))

    t = int(input())
    for _ in range(t):
        solve()


if __name__ == "__main__":
    main()