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)

def lcm(a,b): 
    return (a*b) // gcd(a,b)

def find_numbers(l,r,c,a,b):
	least_multiple=(l-(l%c))
	num=(r-least_multiple)//c
	final_multiple=least_multiple+(c*num)
	return max(b-(l%c),0)+(num-1)*b+min(b,r-final_multiple+1)

for i in range(int(input())):
	a,b,q=map(int,input().split())
	
	for j in range(q):

		l,r=map(int,input().split())
		if(a==b):
			print("0",end=" ")
		else:
			if(r<max(a,b)):
				print("0",end=" ")
			else:
				if(l<max(a,b)):
					ans=find_numbers(max(a,b),r,lcm(a,b),min(a,b),max(a,b))
					print(int((r-max(a,b)+1)-ans),end=" ")
				else:
					ans=find_numbers(l,r,lcm(a,b),min(a,b),max(a,b))
					print(int((r-l+1)-ans),end=" ")
	print()