Problem: You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.

For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among them is 10.

Input

The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases in the input. Next, t test cases are given, one per line.

Each test case is two positive integers n (2 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 10^9).

Output

For each test case print the k-th positive integer that is not divisible by n.

Example

Input


6
3 7
4 12
2 1000000000
7 97
1000000000 1000000000
2 1


Output


10
15
1999999999
113
1000000001
1

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  long long int t;
  cin >> t;
  for (int p = 0; p < t; p++) {
    long long int n, k;
    cin >> n >> k;
    double ans = (1.0 * n * k) / (n - 1);
    long long int m = ans;
    if (m == ans) {
      if (((m - 1) - (m - 1) / n) == k)
        cout << m - 1 << endl;
      else {
        cout << m << endl;
      }
    } else {
      cout << m << endl;
    }
  }
  return 0;
}