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 sys
readline = sys.stdin.readline

def calc(x):
    D = len(table)
    J = table[-1]
    return x//D*J + table[x%D]

Q = int(readline())
Ans = [None]*Q
for qu in range(Q):
    A, B, T = map(int, readline().split())
    table = [0]*(A*B)
    for i in range(1, A*B):
        if (i%A)%B != (i%B)%A:
            table[i] = 1 + table[i-1]
        else:
            table[i] = table[i-1]
    ans = [None]*T
    for t in range(T):
        l, r = map(int, readline().split())
        l -= 1
        ans[t] = calc(r) - calc(l)
    Ans[qu] = ' '.join(map(str, ans))
print('\n'.join(map(str, Ans)))