Problem: We have a secret array. You don't know this array and you have to restore it. However, you know some facts about this array:

  * The array consists of n distinct positive (greater than 0) integers. 
  * The array contains two elements x and y (these elements are known for you) such that x < y. 
  * If you sort the array in increasing order (such that a_1 < a_2 < … < a_n), differences between all adjacent (consecutive) elements are equal (i.e. a_2 - a_1 = a_3 - a_2 = … = a_n - a_{n-1}). 



It can be proven that such an array always exists under the constraints given below.

Among all possible arrays that satisfy the given conditions, we ask you to restore one which has the minimum possible maximum element. In other words, you have to minimize max(a_1, a_2, ..., a_n).

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.

The only line of the test case contains three integers n, x and y (2 ≤ n ≤ 50; 1 ≤ x < y ≤ 50) — the length of the array and two elements that are present in the array, respectively.

Output

For each test case, print the answer: n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is the i-th element of the required array. If there are several answers, you can print any (it also means that the order of elements doesn't matter).

It can be proven that such an array always exists under the given constraints.

Example

Input


5
2 1 49
5 20 50
6 20 50
5 3 8
9 13 22


Output


1 49 
20 40 30 50 10
26 32 20 38 44 50 
8 23 18 13 3 
1 10 13 4 19 22 25 16 7 

Solution (in JAVA):

Solution:
import java.util.*;
import java.lang.*;
import java.io.*;
public class Main
{   
    static FastScanner sc = new FastScanner(System.in);
    static PrintWriter out = new PrintWriter(System.out);
    
    public static void solve(int a,int b, int n){
        int min=Integer.MAX_VALUE;
        int temp[]=new int[n];
        int res[]=new int[n];
        for(int i=1;i<=50;i++){
            for(int j=1;j<=50;j++){
                Arrays.fill(temp,0);
                temp[0]=i;
                int curr_max=temp[0];
                boolean apre=false,bpre=false;
                if(temp[0]==a) apre=true;
                if(temp[0]==b) bpre=true;

                for(int k=1;k<n;k++)
                {
                    temp[k]=temp[k-1]+j;
                    if(temp[k]==a) apre=true;
                    if(temp[k]==b) bpre=true;
                    curr_max=Math.max(curr_max,temp[k]);
                }
                
                if(min>curr_max && apre && bpre){
                    // out.println(Arrays.toString(temp));
                    for(int k=0;k<n;k++) res[k]=temp[k];
                    min=curr_max;
                }

            }

        }
        // out.println("ans");
        // out.println(Arrays.toString(res));
        for(int i=0;i<n;i++){
            out.print(res[i]+" ");
        }

        out.println();
    }

    public static void main(String args[]) throws Exception
    {
        int t=sc.nextInt();
        while(t-->0){
            int n=sc.nextInt();
            int a=sc.nextInt();
            int b=sc.nextInt();
            solve(a,b,n);

        }

        
        out.close();
    }
    
}
class FastScanner
{   

    final private int BUFFER_SIZE = 1 << 17;
    private DataInputStream din;
    private byte[] buffer;
    private int bufferPointer, bytesRead;

    public FastScanner(InputStream in)
    {
        din = new DataInputStream(in);
        buffer = new byte[BUFFER_SIZE];
        bufferPointer = bytesRead = 0;
    }
    public String nextLine() throws Exception
    {
        StringBuffer sb = new StringBuffer("");
        byte c = read();
        while (c <= ' ') c = read();
        do
        {
            sb.append((char)c);
            c = read();
        }
        while(c > ' ');
        return sb.toString();
    }

    public char nextChar() throws Exception
    {
        byte c = read();
        while(c <= ' ') c = read();
        return (char)c;
    }

    public int nextInt() throws Exception
    {
        int ret = 0;
        byte c = read();
        while (c <= ' ') c = read();
        boolean neg = c == '-';
        if (neg) c = read();
        do
        {
            ret = ret * 10 + c - '0';
            c = read();
        }
        while (c > ' ');
        if (neg) return -ret;
        return ret;
    }

    public long nextLong() throws Exception
    {
        long ret = 0;
        byte c = read();
        while (c <= ' ') c = read();
        boolean neg = c == '-';
        if (neg) c = read();
        do
        {
            ret = ret * 10 + c - '0';
            c = read();
        }
        while (c > ' ');
        if (neg) return -ret;
        return ret;
    }

    private void fillBuffer() throws Exception
    {
        bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
        if (bytesRead == -1) buffer[0] = -1;
    }

    private byte read() throws Exception
    {
        if (bufferPointer == bytesRead) fillBuffer();
        return buffer[bufferPointer++];
    }
    public double nextDouble() throws Exception
    {
        double ret = 0, div = 1;
        byte c = read();
        while (c <= ' ')
            c = read();
        boolean neg = (c == '-');
        if (neg)
            c = read();

        do
        {
            ret = ret * 10 + c - '0';
        }
        while ((c = read()) >= '0' && c <= '9');

        if (c == '.')
        {
            while ((c = read()) >= '0' && c <= '9')
            {
                ret += (c - '0') / (div *= 10);
            }
        }

        if (neg)
            return -ret;
        return ret;
    }

    public void reverse(int arr[]){
       for(int i=0;i<arr.length/2;i++){
           int temp=arr[i];
           arr[i]=arr[arr.length-i-1];
           arr[arr.length-i-1]=temp;
       }         
    }
    public void revLongArray(long arr[]){
       for(int i=0;i<arr.length/2;i++){
           long temp=arr[i];
           arr[i]=arr[arr.length-i-1];
           arr[arr.length-i-1]=temp;
       }         
    }   

}