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() {
  int n;
  cin >> n;
  int result[n];
  for (int i = 0; i < n; i++) {
    int t, x;
    cin >> t >> x;
    if (t == x) {
      result[i] = t + 1;
    } else if (x % (t - 1) == 0) {
      result[i] = (x / (t - 1)) * (t) + (x % (t - 1)) - 1;
    } else {
      result[i] = (x / (t - 1)) * (t) + (x % (t - 1));
    }
  }
  for (int i = 0; i < n; i++) {
    cout << result[i] << endl;
  }
  return 0;
}