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:
def gcd(a,b): 
    if a == 0: 
        return b 
    return gcd(b % a, a) 
  
# Function to return LCM of two numbers 
def lcm(a,b): 
    return (a*b) // gcd(a,b)


def solve(m,l,c):
	if l==0:
		return 0
	r = l%m
	return (l//m)*c[m] + c[r]


t = int(input().strip())
for __ in range(t):
	a,b,q = [int(x) for x in input().strip().split()]
	m = lcm(a,b)
	c = [0]
	for i in range(1,m+1):
		if (i%a)%b!=(i%b)%a:
			c.append(c[len(c)-1]+1)
		else:
			c.append(c[len(c)-1])
	# print(c)
	ans = []
	for _ in range(q):
		l,r = [int(x) for x in input().strip().split()]
		ans.append(str(int(solve(m,r,c)-solve(m,l-1,c))))
	print(" ".join(ans))