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:
from math import *
def main():

    from bisect import bisect_left as bl, bisect_right as br, insort
    import sys
    import heapq

    from collections import defaultdict as dd, deque
    def data(): return sys.stdin.readline().strip()
    def mdata(): return map(int, data().split())
    out = sys.stdout.write
    # sys.setrecursionlimit(100000)

    for t in range(int(data())):
        a,b,q=mdata()
        g=gcd(a,b)
        lcm=a//g*b
        ans=[]
        for i in range(q):
            l,r=mdata()
            k1=l//lcm
            k2=r//lcm
            ans.append((k2-k1)*(lcm-max(a,b))-max(0,l-k1*lcm-max(a,b))+max(0,r-k2*lcm-max(a,b)+1))
        out(' '.join(map(str,ans))+'\n')


if __name__ == '__main__':
    main()