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


for _ in range(int(input())):
    a, b, q = map(int, input().split())
    p = [0 for i in range(a*b + 1)]
    preComp(a, b, p)
    for i in range(q):
        l, r = map(int, input().split())
        temp = r // (a*b)
        ans = p[a*b] * temp + p[r % (a*b)]
        temp = (l - 1) // (a * b)
        ans -= (p[a*b] * temp + p[(l - 1) % (a*b)])
        print(ans, end=' ')
    print('')