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())
def gcd(x, y):
    while y:
        x, y = y, x % y
    return x

for i in range(t):
    a, b, q = map(int, input().split())
    z = gcd(a, b)
    target = (a * b)//z
    pref = [0]
    for j in range(1, target + 1):
        if (j%a)%b != (j%b)%a:
            pref.append(pref[-1]+1)
        else:
            pref.append(pref[-1])
    
    result = []
    for i in range(q):
        l , r = map(int, input().split())
        temp_r = (r//target) * pref[-1]
        r = r%target
        l -= 1
        temp_l = (l//target) * pref[-1]
        l = l%target
        temp_r += pref[r]
        temp_l += pref[l]
        result.append(temp_r - temp_l)
    print(*result)