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

def gcd(a, b): return gcd(b, a % b) if b else abs(a)
def lcm(a, b): return abs(a // gcd(a, b) * b)

t = int(sys.stdin.readline().rstrip())

def main():
  for _ in range(t):
    a, b, q = map(int, sys.stdin.readline().split())
    if a > b: a, b = b, a
    L = lcm(a, b)
    res = []
    for _ in range(q):
      l, r = map(int, sys.stdin.readline().split())
      (c, d), (e, f) = divmod(r, L), divmod(l-1, L)
      tmp = c * (L - b) + max(d - b + 1, 0)
      tmp -= e * (L - b) + max(f - b + 1, 0)
      res.append(tmp)
    print(*res, sep=' ')

if __name__ == '__main__':
  main()