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:
t = int(input())
import math
for _ in range(t):
    a,b,q = map(int,input().split())
    if a>b:
        a,b = b,a
    ans = []

    lr = [tuple(map(int, input().split())) for i in range(q)]
    if a == b:
        print(*[0]*q)
        continue

    for l,r in lr:
        if r < b:
            ans.append(0)
        else:

            x = (a*b)//math.gcd(a,b)
            R = (r // x) * (x - b)
            R += max(0,(r % x) - b + 1)

            L = ((l-1) // x) * (x - b)
            L += max(0, ((l-1) % x) - b +1)

            # print(R,L)

            ans.append(R - L)
    print(*ans)