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 io, os
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline


for T in range(int(input())):
    a, b, q = [int(s) for s in input().split()]
    l = (a*b)

    s = list(range(1,l+1))
    cp = 0


    for i,x in enumerate(s):
        if ((x%a)%b)!=((x%b)%a):
            cp += 1
        s[i] = cp

    def count(r):
        rt = (r//l)*cp
        if r%l:
            rt += s[r%l-1]
        return rt

    ans = []
    for _ in range(q):
        r1, r2 =  [int(s) for s in input().split()]
        ans.append(count(r2) - count(r1-1))

    print(' '.join(str(num) for num in ans))