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 answer(x,y,z):
    p=x//y
    s=p*y
    ans=x
    if p!=0:
        ans-=(p-1)*z
        ans-=min(z,x-s+1)
    return ans-min(z-1,x)
def gcd(a,b):
    if a==0:
        return b
    else:
        return gcd(b%a,a)
t=int(input())
for i in range(t):
    num1=list(map(int,input().split()))
    a=num1[0]
    b=num1[1]
    q=num1[2]
    lcm=(a*b)//gcd(a,b)
    m=max(a,b)
    lis=[]
    for j in range(q):
        l,r=list(map(int,input().split()))
        lis.append(answer(r,lcm,m)-answer(l-1,lcm,m))
    print(" ".join(str(x) for x in lis))