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
t=int(input())
for _ in range(t):
    a,b,q=[int(x) for x in input().split()]
    g=math.gcd(a,b)
    for _ in range(q):
        l,r=[int(x) for x in input().split()]
        a,b=min(a,b),max(a,b)
        x=r//b
        y=l//b
        ct=0
        A=a//g
        if x==y:
            if x%A==0: ct=r-l+1
            else: ct=0
        else:
            if y%A==0: ct+=b*(y+1)-l
            if x%A==0: ct+=r-b*x+1
            ct+=b*((x-1)//A-y//A)
        print(r-l+1-ct,end=" ")
    print()