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 compute_gcd(x, y):

   while(y):
       x, y = y, x % y
   return x

# This function computes LCM
def compute_lcm(x, y):
   lcm = (x*y)//compute_gcd(x,y)
   return lcm





for _ in range(int(input())):
    a,b,q=map(int,input().split())
    l=[]
    if a>b:
        a,b=b,a
    lcm=compute_lcm(a,b)
    ans=[]
    for i in range(q):
        l.append(list(map(int,input().split())))
        
        quo=l[i][1]//lcm
        rem=l[i][1]%lcm
        val=lcm-b
        val2=max(0,rem-b+1)
        x=quo*val+val2

        quo=(l[i][0]-1)//lcm
        rem=(l[i][0]-1)%lcm
        val=lcm-b
        val2=max(0,rem-b+1)
        x-=quo*val+val2
        ans.append(x)

    print(*ans)