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
n = int(input())

for i in range(n):
    a,b,q = [int(x) for x in input().split()]
    a,b = min(a,b), max(a,b)
    
    lcm = int(a*b/math.gcd(a,b))
    k = max(a,b)
    res = []
    
    for j in range(q):
        l,r = [int(x) for x in input().split()]
        l, r = min(l,r), max(l,r)
        
        ret = 0
        idl = int(l//lcm)
        idr = int(r//lcm)
        
        if (idr - idl > 0):
            ret +=  (idr-idl-1)*b
            ret += max(0,b-(l%lcm))
            ret += max(0,min(r%lcm,b-1)+1)
        elif(idl == idr):
            ret += max(min(b-1,r%lcm)-(l%lcm)+1,0)
        
        res.append(r-l+1-ret)
    
    for j in range(q-1):
        print(res[j], end = " ")
    print(res[q-1])