Problem: You have been blessed as a child of Omkar. To express your gratitude, please solve this problem for Omkar!

An array a of length n is called complete if all elements are positive and don't exceed 1000, and for all indices x,y,z (1 ≤ x,y,z ≤ n), a_{x}+a_{y} ≠ a_{z} (not necessarily distinct).

You are given one integer n. Please find any complete array of length n. It is guaranteed that under given constraints such array exists.

Input

Each test contains multiple test cases. The first line contains t (1 ≤ t ≤ 1000) — the number of test cases. Description of the test cases follows.

The only line of each test case contains one integer n (1 ≤ n ≤ 1000).

It is guaranteed that the sum of n over all test cases does not exceed 1000.

Output

For each test case, print a complete array on a single line. All elements have to be integers between 1 and 1000 and for all indices x,y,z (1 ≤ x,y,z ≤ n) (not necessarily distinct), a_{x}+a_{y} ≠ a_{z} must hold.

If multiple solutions exist, you may print any.

Example

Input


2
5
4


Output


1 5 3 77 12
384 384 44 44

Note

It can be shown that the outputs above are valid for each test case. For example, 44+44 ≠ 384.

Below are some examples of arrays that are NOT complete for the 1st test case:

[1,2,3,4,5] 

Notice that a_{1}+a_{2} = a_{3}.

[1,3000,1,300,1] 

Notice that a_{2} = 3000 > 1000.

Solution (in JAVA):

Solution:
/*
If you want to aim high, aim high
Don't let that studying and grades consume you
Just live life young
******************************
If I'm the sun, you're the moon
Because when I go up, you go down
*******************************
I'm working for the day I will surpass you
****************************************

*/ 
  
import java.util.*;
import java.awt.Point;
import java.lang.Math; 
import java.util.Arrays;
import java.util.Scanner;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.OutputStream;
import java.util.Comparator;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.stream.IntStream;
     
    public class Main {
         static int oo = (int)1e9;
      public static void main(String[] args) {
    	       InputStream inputStream = System.in;
            OutputStream outputStream = System.out;
            Scanner in = new Scanner(inputStream);
            PrintWriter out = new PrintWriter(outputStream);
            Musk solver = new Musk();
            solver.solve(1, in, out);
            out.close();
    	}
    	
    static class Musk {
     
       public void solve(int testNumber, Scanner in, PrintWriter out) {
         int t = in.nextInt();
         while(t-->0){
             int n = in.nextInt();
             int a[] = new int[n];
             a[0]=1;
             for(int i=1;i<n;i++){
                  a[i]=a[i-1]+1000%74;
                  if(a[i]>1000){
                       a[i]=a[i]%1000;
                  }
             }
             
             for(int i=0;i<n;i++){
                  out.print(a[i]+" ");
             }
             out.println();
         }
            
       }
       
    	} 
    	
    	
    public int factorial(int n) {
            int fact = 1;
            int i = 1;
           while(i <= n) {
             fact *= i;
             i++;
           }
            return fact;
    }

    public static long gcd(long x,long y)
    {
    	if(x%y==0)
    		return y;
    	else
    		return gcd(y,x%y);
    }
    public static int gcd(int x,int y)
    {
    	if(x%y==0)
    		return y;
    	else 
    		return gcd(y,x%y);
    }
    public static int abs(int a,int b)
    {
    	return (int)Math.abs(a-b);
    }
    public static long abs(long a,long b)
    {
    	return (long)Math.abs(a-b);
    }
    public static int max(int a,int b)
    {
    	if(a>b)
    		return a;
    	else
    		return b;
    }
    public static int min(int a,int b)
    {
    	if(a>b)
    		return b;
    	else 
    		return a;
    }
    public static long max(long a,long b)
    {
    	if(a>b)
    		return a;
    	else
    		return b;
    }
    public static long min(long a,long b)
    {
    	if(a>b)
    		return b;
    	else 
    		return a;
    }
     
     
    public static long pow(long n,long p,long m)
    {
    	 long  result = 1;
    	  if(p==0)
    	    return 1;
    	if (p==1)
    	    return n;
    	while(p!=0)
    	{
    	    if(p%2==1)
    	        result *= n;
    	    if(result>=m)
    	    result%=m;
    	    p >>=1;
    	    n*=n;
    	    if(n>=m)
    	    n%=m;
    	}
    	return result;
    }
    public static long pow(long n,long p)
    {
    	long  result = 1;
    	  if(p==0)
    	    return 1;
    	if (p==1)
    	    return n;
    	while(p!=0)
    	{
    	    if(p%2==1)
    	        result *= n;	    
    	    p >>=1;
    	    n*=n;	    
    	}
    	return result;
     
    }
     
    static long sort(int a[]){  
         int n=a.length;
    	int b[]=new int[n];	
    	return mergeSort(a,b,0,n-1);
         
    }
     
    static long mergeSort(int a[],int b[],long left,long right){
         long c=0;
         if(left<right){   
          long mid=left+(right-left)/2;
    	 c= mergeSort(a,b,left,mid);
    	 c+=mergeSort(a,b,mid+1,right);
    	 c+=merge(a,b,left,mid+1,right); 
         }	
    	return c;	 
    }
    static long merge(int a[],int  b[],long left,long mid,long right){
         long c=0;int i=(int)left;int j=(int)mid; int k=(int)left;
         while(i<=(int)mid-1&&j<=(int)right){ 
              if(a[i]<=a[j]){
                   b[k++]=a[i++]; 
              }
              else{ 
                   b[k++]=a[j++];c+=mid-i;
              }
         }
         
         while (i <= (int)mid - 1)   
                 b[k++] = a[i++]; 
         while (j <= (int)right)
                 b[k++] = a[j++];
         for (i=(int)left; i <= (int)right; i++) 
    	        a[i] = b[i];
    	        return c; 
         }
         
      static class InputReader extends BufferedReader {
        public InputReader(InputStream st) {
            super(new InputStreamReader(st));
        }
 
        public String readLine() {
            try {
                return super.readLine();
            } catch (IOException e) {
                return null;
            }
        }
 
        private int readByte() {
            try {
                return read();
            } catch (IOException e) {
                throw new RuntimeException();
            }
        }
 
        public int ni() {
            int num = 0, b;
            boolean minus = false;
            while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
            if (b == '-') {
                minus = true;
                b = readByte();
            }
 
            while (true) {
                if (b >= '0' && b <= '9') {
                    num = num * 10 + (b - '0');
                } else {
                    return minus ? -num : num;
                }
                b = readByte();
            }
        }
 
        public int[] na(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) a[i] = ni();
            return a;
        }
 
    } 
     
  }