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 lcm(x, y):
   return (x * y) // math.gcd(x, y)

def solve2(a, b, x):
    if x < max(a, b):
        return 0
    sol = x + 1 - max(a, b)
    ll = lcm(a, b)
    sol -= x//ll * max(a, b)
    if (x // ll) * ll + max(a, b) - 1 >= x:
        sol += ((x // ll) * ll + max(a, b) - 1) - x
    return sol

def solve(a, b, l, r):
    return solve2(a, b, r) - solve2(a, b, l-1)

t = int(input())
for _ in range(t):
    a, b, q = map(int, input().split())
    sol = []
    for _ in range(q):
        l, r = map(int, input().split())
        sol.append(solve(a, b, l, r))
    print(' '.join(map(str, sol)))