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 sys
#
_INPUT_LINES = sys.stdin.read().splitlines()
input = iter(_INPUT_LINES).__next__
#
# range=xrange
from math import gcd


def go():
    # n = int(input())
    a,b,q = map(int, input().split())
    # a, b = map(int, input().split())

    g=a*b//gcd(a,b)
    m=max(a,b)

    def until(v):
        result = ((v+1)//g)*m + min((v+1)%g,m)
        result = v+1-result
        # print ('-',v,result)
        return result

    res = []
    for _ in range(q):
        l, r = map(int, input().split())
        res.append(until(r)-until(l-1))


    return ' '.join(map(str,res))

# x,s = map(int,input().split())
t = int(input())
# t = 1
ans = []
for _ in range(t):
    # print(go())
    ans.append(str(go()))
#
print('\n'.join(ans))