A15900. Divisible Array
编程题
普及/提高-
知识点
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 $n$ .
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 $a$ .
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.
We can show that an answer always exists. If there are multiple solutions, print any.
输入输出样例
输入 #1
7 1 2 3 4 5 6 7
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 $5$ .
- $a_1 = 1$ 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 $5$ .