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 PYTHON):

Solution:
from fractions import gcd
t=input()

for i in range(t):
    a,b,q=map(int,raw_input().split())
    lcm=(a*b)/gcd(a,b)
    mini=min(a,b)
    maxi=max(a,b)
    for i in range(q):

        l,r=map(int,raw_input().split())
        p=l/lcm  
        q=r/lcm
        d=q-p
        
        
        #print d,maxi
        ans=r-l+1-d*(maxi)
        
        l=l%lcm
        r=r%lcm
        #print ans
        if maxi>l:
            ans-=maxi-l

        if maxi>r:
            ans+=maxi-r-1

        print ans,
    print