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:
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


for _ in range(int(input())):
    a, b, q = tuple(map(int, input().split()))
    a, b = min(a, b), max(a, b)
    nok = a * b // gcd(a, b)

    answers = []
    for _ in range(q):
        left, right = tuple(map(int, input().split()))

        delta = 0
        if left % nok != 0:
            ost = left % nok
            left -= ost

            delta += max(ost - b, 0)
        if right % nok != nok - 1:
            ost = right % nok
            right += (nok - ost - 1)

            if ost >= b:
                delta += nok - ost - 1
            else:
                delta += nok - b

        answers.append((right - left + 1) - delta - ((right - left + 1) // nok) * b)

    print(*answers)