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

T = int(input())

for _ in range(T):
	a, b, q = [int(v) for v in input().split(' ')]
	lcm = a // math.gcd(a, b) * b
	if b > a:
		a, b = b, a
	for _ in range(q):
		l, r = [int(v) for v in input().split(' ')]
		#bf = 0
		#for i in range(l, r + 1):
		#	if (i % a) % b != (i % b) % a:
		#		bf += 1
		
		nl = l // lcm
		nr = r // lcm
		ans = (nr - nl - 1) * (lcm - a)
		ans += max((r % lcm) - a + 1, 0)
		ans += lcm - max(l % lcm, a)
		#print(nl, nr, max((r % lcm) - a, 0), lcm - max(l % lcm, a))
		print(ans)
		#assert bf == ans