CF1372A.Omkar and Completion

普及/提高-

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题目描述

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

An array aa of length nn is called complete if all elements are positive and don't exceed 10001000 , and for all indices xx , yy , zz ( 1x,y,zn1 \leq x,y,z \leq n ), ax+ayaza_{x}+a_{y} \neq a_{z} (not necessarily distinct).

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

输入格式

Each test contains multiple test cases. The first line contains tt ( 1t10001 \le t \le 1000 ) — the number of test cases. Description of the test cases follows.

The only line of each test case contains one integer nn ( 1n10001 \leq n \leq 1000 ).

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

输出格式

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 xx , yy , zz ( 1x,y,zn1 \leq x,y,z \leq n ) (not necessarily distinct), ax+ayaza_{x}+a_{y} \neq a_{z} must hold.

If multiple solutions exist, you may print any.

输入输出样例

  • 输入#1

    2
    5
    4

    输出#1

    1 5 3 77 12
    384 384 44 44

说明/提示

It can be shown that the outputs above are valid for each test case. For example, 44+4438444+44 \neq 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=a3a_{1}+a_{2} = a_{3} .

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

Notice that a2=3000>1000a_{2} = 3000 > 1000 .

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