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 PYTHON):

Solution:
'''input
2
4 6 5
1 1
1 3
1 5
1 7
1 9
7 10 2
7 8
100 200
'''


 
from bisect import bisect_right as bl
from random import randint as R
RI = lambda : [int(_x) for _x in raw_input().split()]
def gcd(a,b):
	if b ==0:
		return a
	return gcd(b,a%b)
def lcm(a,b):
	return a*b/gcd(a,b)
def get2(l,lc):
	m = ((l+1)/lc)*max(a,b)
	rem = (l+1)%lc
	return min(rem,max(a,b))+m

for _ in range(input()):
	a,b,q = RI()
	lc = lcm(a,b)
	for i in range(q):
		l,r = RI()
		print r-l+1 - (get2(r,lc)-get2(l-1,lc)),
	print