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 gcd
for i in range(int(input())):
	a,b,q=[int(i)for i in input().split()]
	ans=[]
	for _ in range(q):
		l,r=[int(i)for i in input().split()]
		if a == b:
			ans += [0]
		else:
			same = 0
			if a > b: a,b = b,a
			c = (a*b)//gcd(a,b)
			k = l % c
			if k < b:
				if r-l+1 <= b-k:
					ans += [0]
					continue
				else:
					same += b-k

			m = r // c - l // c
			same += m*b
			k = r % c
			if k < b:
				same -=  b-(k+1)
			ans += [r-l+1 - same]
	print(*ans)