We use the integers a, b, and n to create the following series:

We use the integers , and  to create the following series:

You are given  queries in the form of , and . For each query, print the series corresponding to the given , and  values as a single line of  space-separated integers.

Input Format

The first line contains an integer, , denoting the number of queries.
Each line  of the  subsequent lines contains three space-separated integers describing the respective , and  values for that query.

Constraints

Output Format

For each query, print the corresponding series on a new line. Each series must be printed in order as a single line of  space-separated integers.

Sample Input

2
0 2 10
5 3 5

Sample Output

2 6 14 30 62 126 254 510 1022 2046
8 14 26 50 98

Explanation

We have two queries:

  1. We use , and  to produce some series :

    ... and so on.

    Once we hit , we print the first ten terms as a single line of space-separated integers.

  2. We use , and  to produce some series :

    We then print each element of our series as a single line of space-separated values.

Program:

import java.util.*;
import java.io.*;

class Solution{
    public static void main(String []argh){
        Scanner in = new Scanner(System.in);
        int t=in.nextInt();
        for(int i=0;i<t;i++)
        {
            int a = in.nextInt();
            int b = in.nextInt();
            int n = in.nextInt();
            
            int x=0;
            for(int j=0,k=0;j<n && k<=n-1;j++,k++)
            {
                x=(int)Math.pow(2,k)*b + x;
                System.out.print(a+x+" ");
            }
             System.out.println();
        }
        in.close();
    }
}




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