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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long N = 1e6 + 1e5, inf = 3e18, mod = 1e9 + 7;
long long tc, n, m, q, a, b, c, d, i, j, k;
long long sum[N];
vector<long long> vec;
string s;
int main() {
  ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
  cin >> tc;
  while (tc--) {
    cin >> a >> b >> q;
    for (i = 1; i <= 2 * a * b; i++)
      sum[i] = sum[i - 1] + (((i % a) % b) != ((i % b) % a));
    while (q--) {
      long long L, R;
      cin >> L >> R;
      cout << (R - L + 1) / (a * b) * sum[a * b] + sum[a * b + R % (a * b)] -
                  sum[a * b + R % (a * b) - (R - L + 1) % (a * b)]
           << ' ';
    }
    cout << endl;
  }
}