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:
#!/usr/bin/env python3


def get_gcd(u, v):
    while v != 0:
        r = u % v
        u = v
        v = r
    return u


def cnt(l, a, b):
    i = a * b // get_gcd(a, b)
    c = l // i * max(a, b)
    i = l % i
    c += min(i + 1, max(a, b))
    return l - c

def cnt2(l, a, b):
    c = 0
    print('l:', l, 'a:', a, 'b:', b)
    for i in range(0, l + 1):
        if i % a % b == i % b % a:
            print('i:', i)
            c += 1
    print()
    return l - c


t = int(input())
for _ in range(t):
    a, b, q = map(int, input().split())
    s = ''
    for i in range(q):
        l, r = map(int, input().split())
        c = cnt(r, a, b) - cnt(l - 1, a, b)
        # c = cnt2(r, a, b) - cnt2(l - 1, a, b)
        if s != '':
            s += ' '
        s += str(c)
    print(s)