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;
int main() {
  cin.tie(0);
  ios::sync_with_stdio(0);
  int t;
  cin >> t;
  while (t--) {
    int a, b, q;
    cin >> a >> b >> q;
    vector<long long> x(2 * a * b);
    for (int i = 0; i < 2 * a * b; i++) {
      if ((i % a) % b != (i % b) % a) x[i]++;
      if (i) x[i] += x[i - 1];
    }
    while (q--) {
      long long l, r, s;
      cin >> l >> r;
      if (a == b && a == 1) {
        cout << "0 ";
        continue;
      }
      s = x[l % (a * b) + a * b - 1];
      if (l % (a * b)) s -= x[l % (a * b) - 1];
      s *= (r - l + 1) / (a * b);
      long long temp = l + ((r - l + 1) / (a * b)) * (a * b);
      s += x[temp % (a * b) + r - temp];
      if (temp % (a * b)) s -= x[temp % (a * b) - 1];
      cout << s << " ";
    }
    cout << "\n";
  }
}