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 sys
input = sys.stdin.readline
from math import gcd
def main():
    t = int( input())
    ANS = []
    for _ in range(t):
        a, b, q = map( int, input().split())
        lr = [ tuple( map( int, input().split())) for _ in range(q)]
        lcm = a*b//gcd(a,b)
        G = []
        now = 0
        for i in range(lcm):
            if i%a%b != i%b%a:
                now += 1
            G.append(now)

        ans = []
        for l, r in lr:
            rans = r//lcm*now + G[r%lcm]
            lans = (l-1)//lcm*now + G[(l-1)%lcm]
            ans.append( rans - lans)

        ANS.append(ans)

    for ans in ANS:
        print(" ".join( map( str, ans)))
            
if __name__ == '__main__':
    main()