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:
'''
2bth april 2020 sunday
'''


import sys


def input():
    return sys.stdin.readline()[:-1]


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


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

    count = [0] * lcm
    for i in range(lcm):
        if (i % b) % a != (i % a) % b:
            count[i] = 1
        count[i] += count[i - 1]

    out = [0] * q

    def func(x):
        quo, mod = x // lcm, x % lcm
        return quo * count[lcm - 1] + count[mod]

    for j in range(q):
        l, r = map(int, input().split())
        out[j] = func(r) - func(l - 1)

    print(*out)