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(b==0):
        return a
    return gcd(b,a%b)
for _ in range(int(input())):
    a,b,q=map(int,input().split())
    lcm=(a*b)//gcd(a,b)
    fr=[0]*(lcm+1)
    ct=0
    for i in range(1,lcm+1):
        if((i%a)%b!=(i%b)%a):
            ct+=1
            fr[i]=ct
        else:
            fr[i]=fr[i-1]
    for i in range(q):
        ans=0
        l,r=map(int,input().split())
        ans=(r//lcm)*ct+fr[(r%lcm)]
        ans-=((l//lcm)*ct+fr[l%lcm])
        if((l%a)%b!=(l%b)%a):
            ans+=1
        print(ans,end=" ")
    print()