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

def find(n,terms,a,b):
    if n <= 0:
        return 0
    
    x = n//terms
    good = terms-max(a,b)
    total = good*x
    n %= terms
    total += min(good,n)

    return total

def solve(a,b,q,ans):
    g = math.gcd(max(a,b),min(a,b))
    x = max(a,b)
    terms = a*b//g
    arr = []
    for i in range(q):
        l,r = map(int,input().split())
        l -= max(a,b)-1
        r -= max(a,b)-1
        arr.append(find(r,terms,a,b)-find(l-1,terms,a,b))
    
    ans.append(arr)

def main():
    t = int(input())
    ans = []
    for i in range(t):
        a,b,q = map(int,input().split())
        solve(a,b,q,ans)

    for i in ans:
        for j in i:
            print(j,end = ' ')

        print()


main()