CF1828A.Divisible Array

普及/提高-

通过率：0%

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题目描述

You are given a positive integer $n$ . Please find an array $a_1, a_2, \ldots, a_n$ that is perfect.

A perfect array $a_1, a_2, \ldots, a_n$ satisfies the following criteria:

$1 \le a_i \le 1000$ for all $1 \le i \le n$ .
$a_i$ is divisible by $i$ for all $1 \le i \le n$ .
$a_1 + a_2 + \ldots + a_n$ is divisible by $n$ .

输入格式

Each test contains multiple test cases. The first line contains the number of test cases $t$ ( $1 \le t \le 200$ ). The description of the test cases follows.

The only line of each test case contains a single positive integer $n$ ( $1 \le n \le 200$ ) — the length of the array $a$ .

输出格式

For each test case, output an array $a_1, a_2, \ldots, a_n$ that is perfect.

We can show that an answer always exists. If there are multiple solutions, print any.

输入输出样例

输入#1

输出#1

1
2 4
1 2 3
2 8 6 4
3 4 9 4 5
1 10 18 8 5 36
3 6 21 24 10 6 14

说明/提示

In the third test case:

$a_1 = 1$ is divisible by $1$ .
$a_2 = 2$ is divisible by $2$ .
$a_3 = 3$ is divisible by $3$ .
$a_1 + a_2 + a_3 = 1 + 2 + 3 = 6$ is divisible by $3$ .

In the fifth test case:

$a_1 = 3$ is divisible by $1$ .
$a_2 = 4$ is divisible by $2$ .
$a_3 = 9$ is divisible by $3$ .
$a_4 = 4$ is divisible by $4$ .
$a_5 = 5$ is divisible by $5$ .
$a_1 + a_2 + a_3 + a_4 + a_5 = 3 + 4 + 9 + 4 + 5 = 25$ is divisible by $5$ .

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