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 sys import stdin
input = stdin.readline
t = int(input())
for _ in range(t):
	a,b,q = map(int,input().split())
	przyg = [0] * (a*b)
	for i in range(a*b):
		if (i%a)%b != (i%b)%a:
			przyg[i] = 1
	cyk = sum(przyg)
	pref = [0]*(a*b)
	pref[0] = przyg[0]
	for i in range(1,a*b):
		pref[i] = pref[i-1] + przyg[i]
	for query in range(q):
		l,r = map(int,input().split())
		ll = l%(a*b)
		rr = r%(a*b)
		wynik = cyk * (r//(a*b) - l//(a*b))
		wynik += pref[rr]
		if ll > 0:
			wynik -= pref[ll-1]
		if query < q-1:
			print(wynik, end = " ")
		else:
			print(wynik)