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
import math
from  collections import defaultdict

# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')


def solve(t):
	a, b, q = map(int, input().split())
	x = min(a, b)
	y = max(a, b)
	a, b = x, y

	ans = []
	for i in range(q):
		l, r = map(int, input().split())
		low = max(l, b)
		high = r
		res = high - low + 1
		lcm = (a * b) // math.gcd(a, b)
		res -= (high // lcm - (low - 1) // lcm) * b
		start = low - ((low - 1) // lcm) * lcm
		end = high - (high // lcm) * lcm + 1
		if start < b:
			res -= b - (start)
		if end < b:
			res += b - (end)
		ans.append(str(res))
	print(' '.join(ans))



if __name__ == "__main__":
	test_cases = int(input())
	for t in range(1, test_cases + 1):
		solve(t)