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:
import math
for _ in range(int(input())):
    a,b,q=map(int,input().split())
    if(a>b):
        a,b=b,a
    lcm=a*b//math.gcd(a,b)
    for qq in range(q):
        L,R=map(int,input().split())
        if(b%a==0):
            print(0,end=" ")
        else:
            res=R;
            temp=min(R,b-1);
            res-=temp;
            res-=(R//lcm)*b;
            temp1=(R//lcm)*lcm;
            if(temp1):temp1+=b-1;
            if(temp1>R):res+=temp1-R;
            if(L>1):
                L-=1;
                res1=L;
                temp=min(L,b-1);
                res1-=temp;
                res1-=(L//lcm)*b;
                temp1=(L//lcm)*lcm;
                if(temp1):temp1+=b-1;
                if(temp1>L):res1+=temp1-L;
                res-=res1;
            print(res,end=" ")
    print()