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:
def LCM(a,b):
    lar=max(a,b)
    small=min(a,b)
    i=lar
    while True:
        if (i%small==0):
            return i
        i+=lar        

def solve():
    a,b,q=[int(x) for x in input().split()]    
    lcm=LCM(a,b)
    maxx=max(a,b)    
    for i in range(q):        
        l,r=[int(x) for x in input().split()]      
        count=maxx-1
        l-=1
        left=(l//lcm)*lcm
        lft=l//lcm
        lcount=(lft-1)*maxx+count
        if left+maxx-1<=l:
            lcount+=maxx
        else:
            lcount+=l-left+1
        
        right=(r//lcm)*lcm
        rgt=r//lcm
        rcount=(rgt-1)*maxx+count
        if right+maxx-1<=r:
            rcount+=maxx
        else:
            rcount+=r-right+1
        print(r-rcount-l+lcount,end=' ')         
   

t=int(input())
for i in range(t):
    solve()