Algorithm


A. Omkar and Completion
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 10001000, and for all indices x,y,z (1x,y,zn1≤�,�,�≤�), ax+ayaz��+��≠�� (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 (1t10001≤�≤1000)  — the number of test cases. Description of the test cases follows.

The only line of each test case contains one integer n (1n10001≤�≤1000).

It is guaranteed that the sum of n over all test cases does not exceed 10001000.

Output

For each test case, print a complete array on a single line. All elements have to be integers between 11 and 10001000 and for all indices x,y,z (1x,y,zn1≤�,�,�≤�) (not necessarily distinct), ax+ayaz��+��≠�� must hold.

If multiple solutions exist, you may print any.

Example
input
Copy
2
5
4
output
Copy
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+4438444+44≠384.

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

[1,2,3,4,5][1,2,3,4,5]

Notice that a1+a2=a3�1+�2=�3.

[1,3000,1,300,1][1,3000,1,300,1]

Notice that a2=3000>1000�2=3000>1000.

 

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming

#include<bits/stdc++.h>
using namespace std;


#define ll long long
#define endl '\n'
#define debug(n) cout<<(n)<<endl;
const ll INF = 2e18 + 99;

int main(){
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);

  int t;
  cin>>t;
  while(t--){
    int n;
    cin>>n;
    for(int i = 0; i < n; i++){
      cout<<1<<" ";
    }
    cout<<endl;
  }

}
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Input

x
+
cmd
2
5
4

Output

x
+
cmd
1 5 3 77 12
384 384 44 44
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Demonstration


Codeforcess solution 1372-A A. Omkar and Completion ,C++, Java, Js and Python, 1372-A,Codeforcess solution

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