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:
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#  code

from math import gcd
def main():
    t = int(input())
    for _ in range(t):
        a,b,q = map(int , input().split())
        M = a * b
        M //= gcd(a , b)
        if a > b:
            a,b = b,a
        aa = []
        for i in range(q):
            x,y = map(int , input().split())
            ans = 0
            k = (x - 1) // M
            ans -= k * (M - 1 - b + 1)

            k = y // M
            ans += k * (M - 1 - b + 1)

            z = (x - 1)
            z %= M

            ans -= max(0 , z - b + 1)

            y %= M
            ans += max(0 , y - b + 1)
            aa.append(ans if b % a != 0 else 0)
        print(*aa)            
    return

if __name__ == "__main__":
    main()