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 gcd

t = int(input())
ans = []
for i in range(t):
    a, b, q = map(int, input().split())
    res = []
    pred = []
    gcw = a * b // gcd(a, b)
    for j in range(gcw):
        pred.append(int((j % a) % b == (j % b) % a))
    prefixes = [0]
    suffixes = [0] * (gcw + 1)
    summ = 0
    for j in range(gcw):
        summ += pred[j]
        prefixes.append(summ)
    summ = 0
    for j in range(gcw - 1, -1, -1):
        summ += pred[j]
        suffixes[j] = summ
    for j in range(q):
        l, r = map(int, input().split())
        res.append(r - l + 1 - ((r // gcw - l // gcw + 1) * prefixes[-1] - prefixes[l % gcw] - suffixes[r % gcw + 1]))
    ans.append(res)
for i in ans:
    print(*i)