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 collections import Counter
from math import gcd


def lcm(a, b):
    return abs(a*b) // gcd(a, b)


def solution(a, b, mx):
    if a < b:
        a, b = b, a

    major = mx // lcm(a, b) * a
    minor = min(mx % lcm(a, b), a - 1)

    return mx - (major + minor)


n_test = int(input())

for _ in range(n_test):
    a, b, q = map(int, input().split())

    for _ in range(q):
        l, r = map(int, input().split())
        print(solution(a, b, r) - solution(a, b, l - 1), end=" ")
    print()