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 PYTHON):

Solution:
from fractions import gcd
from sys import stdin

lcm = lambda a, b: a // gcd(a, b) * b
rints = lambda: [int(x) for x in stdin.readline().split()]
out = []

for _ in range(int(input())):
    a, b, q = rints()
    ans, qur, lc = [], [rints() for _ in range(q)], lcm(a, b)
    a, b = min(a, b), max(a, b)

    for l, r in qur:
        all = ((r // lc) * (lc - (b - 1))) + (max(r % lc - (b - 1), 0))

        if r >= lc:
            all -= (r // lc)
        l -= 1
        ext = ((l // lc) * (lc - (b - 1))) + (max(l % lc - (b - 1), 0))

        if l >= lc:
            ext -= (l // lc)

        ans.append(str(all - ext))
    out.append(' '.join(ans))
print('\n'.join(out))