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 JAVA):

Solution:
import java.awt.Point;
    import java.io.InputStreamReader;
    import java.io.BufferedReader;
    import java.io.IOException;
    import java.lang.reflect.Array;
    import java.util.ArrayList;
    import java.util.Arrays;
    import java.util.Collections;
    import java.util.HashMap;
    import java.util.HashSet;
    import java.util.Iterator;
    import java.util.LinkedList;
    import java.util.List;
    import java.util.Map;
    import java.util.Optional;
    import java.util.Queue;
    import java.util.Set;
    import java.util.TreeMap;
    import java.util.TreeSet;

    public class Codeforces {



        public static void main(String[] args) throws java.lang.Exception {
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            int t = Integer.parseInt(br.readLine());
            while(t-- > 0){
                String[] s = br.readLine().trim().split(" ");
                int n = Integer.parseInt(s[0]);
                int k = Integer.parseInt(s[1]);
                
                int x = k / (n - 1);
                
                if((x + k ) % n == 0){
                    System.out.println((x + k) - 1);
                }
                else System.out.println(x + k);
            }
            
            
      
                
            
            
    }}