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 math
t = int(input())

for _ in range(t):
    a,b,q = map(int,input().split())
    lcm = a * b // math.gcd(a,b)
    check = [0]*lcm
    rui = [0]*(lcm+1)
    aa = 0
    for i in range(lcm):
        if (i%a)%b != (i%b)%a:
            check[i] = 1
            aa += 1
            rui[i+1] = aa
    onel = rui[lcm]
            
    ans = []
    for i in range(q):
        l,r = map(int,input().split())
        ll = l % lcm
        rr = r % lcm
        loops = (r-l) // lcm
        
        if rr < ll:
            ans.append((loops * onel + (rui[lcm] - rui[ll]) + rui[rr+1]))
        elif rr > ll:
            ans.append(loops * onel + (rui[rr+1] - rui[ll]))
        else:
            ans.append(loops * onel + check[rr])
            
    print(*ans)