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:
from math import *
t=int(input())
for _ in range(t):
    a,b,q=map(int,input().split())
    d=gcd(a,b)
    p=(a*b)//d
    ar=[]
    for i in range(q):
        l,r=map(int,input().split())
        if a==b:
            ar.append(0)
        else:
            if a>b:
                a,b=b,a
            if r<b:
                ar.append(0)
            else:
                c=(r-l)+1
                x=(r//p)-((l-1)//p)
                x=x*b
                x=x+min((r%p)+1,b) -min((l-1)%p+1,b)
                c=c-x
                
                ar.append(max(c,0))
    for i in range(q):
        print(ar[i],end=' ')
    print()