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 sys import stdin,stdout
input = stdin.readline
from math import gcd

def main():
    t = int(input())
    #t=1
    for i in range(t):
        #n = int(input())
        a, b, q = map(int,input().split())
        #ai = list(map(int,input().split()))
        #ar = [[0]*a for i in range(b)]
        ab = a * b // gcd(a,b)
        ar = [0] * (ab)
        for num in range(ab):
            ar[num] = int(num % a % b != num % b % a)
        ar2 = [0] * (ab+1)
        for i in range(ab):
            ar2[i] = ar2[i-1] + ar[i]
        for i in range(q):
            l,r = map(int,input().split())
            l2  = l % ab
            r2  = r % ab
            if r - l + 1 <= ab - l2:
                print(ar2[r2] - ar2[l2-1],end=" ")
            else:
                ans = (r-l+1 - ab + l2 - r2)//ab * ar2[-2]
                ans += ar2[-2] - ar2[l2-1]
                ans += ar2[r2]
                print(ans,end=" ")
        print()
main()