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:
from math import gcd
t=int(input())
def fn(a, b, r):
    lcm=(a*b)//gcd(a,b)
    result=min(b-1, r)
    k=r//lcm
    if k>0:
        result+=(k-1)*b
        result+=min(b, r-k*lcm+1)
    return result

for _ in range(t):
    a,b,q=map(int,input().split())
    if a>b:
        a,b=b,a
    res=[]
    for __ in range(q):
        l,r=map(int,input().split())
        ans=fn(a, b, r)-fn(a, b, l-1)
        total=r-l+1
        res.append(total-ans)
    print(' '.join(map(str, res)))