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
def findTileCount(x, y, l, r) : 
    lcm = (x * y) // gcd(x, y) 
    count1 = (l - 1) // lcm 
    countr = r // lcm 
    # print(count1,countr)
    return lcm,countr - count1

t = int(input())
while t:
	a, b, q = map(int,input().split())
	# lcm = compute_lcm(a,b)
	for i in range(q):
		l,r = map(int,input().split())
		lcm,ctr = findTileCount(a,b,max(a,max(b, l)),r)
		# print(lcm, ctr)
		temp = (r - max(a,max(b,l)) + 1)
		temp2 = (ctr-1)*max(a,b)
		if(temp2 < 0):
			temp2 = 0
		lastmul = (r//lcm)*lcm
		if(lastmul <= r and lastmul >= l):
			temp2 += min(r- lastmul+1, max(a,b))
		firstmul = (l//lcm)*lcm
		if(l%lcm != 0 and firstmul < l and firstmul != 0):
			temp2 += max(0,firstmul - l + max(a,b))
		print(max(0, temp - temp2), end = " ")
	print()
	t-=1