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:
import math


def solve(a, b, queries):
    a, b = min(a, b), max(a, b)
    period = a * b // int(math.gcd(a, b))
    same, diff = b, period - b

    def f(n):
        parts = n // period
        reminder = n % period
        return parts * diff + max(0, reminder - same)

    for left, right in queries:
        yield f(right + 1) - f(left)


def main():
    T = int(input())
    for t in range(T):
        a, b, q = map(int, input().split())
        queries = []
        for _ in range(q):
            left, right = map(int, input().split())
            queries.append((left, right))

        print(' '.join(map(str, solve(a, b, queries))))


if __name__ == '__main__':
    main()
    # a, b = 3, 9
    # for i in range(100):
    #     x = (i % a) % b
    #     y = (i % b) % a
    #     print(f'{"E" if x == y else "NE"} {i}: {x} VS {y}')