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,ceil

def work(z,lcm,v_nums):
	m = z // lcm  
	m += 1 
	temp = m*lcm 
	tran = temp - v_nums 
	ans = (m-1)*v_nums  
	if(tran <= z) :  
		ans += (z-tran)+1 
	return ans

# for i in range(110):
# 	print(i,work(i,14,7))

t = int(input()) 

for ll in range(t):
	a,b,q  = map(int,input().split()) 
	lcm = (a*b) // gcd(a,b)
	v_nums = lcm - max(a,b) 
	for llb in range(q):
		ans = 0 
		r,z = map(int,input().split()) 
		ans += work(z,lcm,v_nums)
		ans -= work(r-1,lcm,v_nums)
		print(ans,end=' ')
	print()