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.io.*;
import java.util.*;  
public class main {
	public static void main(String[] args) throws NumberFormatException, IOException
	{
		BufferedReader br= new BufferedReader(new InputStreamReader(System.in));
		PrintWriter pw= new PrintWriter(System.out);
		int t= Integer.parseInt(br.readLine());
		for (int i = 0; i < t; i++) {
			StringTokenizer st = new StringTokenizer(br.readLine());
			int n = Integer.parseInt(st.nextToken());
			int k = Integer.parseInt(st.nextToken());
			int addition=(k%(n-1)==0)?k/(n-1)-1:k/(n-1);
			pw.println(k+addition);
		}
		pw.close();
	}
}