A14079. k-LCM (easy version)
编程题
普及/提高-
知识点
题目描述
It is the easy version of the problem. The only difference is that in this version $k = 3$ .
You are given a positive integer $n$ . Find $k$ positive integers $a_1, a_2, \ldots, a_k$ , such that:
- $a_1 + a_2 + \ldots + a_k = n$
- $LCM(a_1, a_2, \ldots, a_k) \le \frac{n}{2}$
Here $LCM$ is the [least common multiple](https://en.wikipedia.org/wiki/Least_common_multiple) of numbers $a_1, a_2, \ldots, a_k$ .
We can show that for given constraints the answer always exists.
You are given a positive integer $n$ . Find $k$ positive integers $a_1, a_2, \ldots, a_k$ , such that:
- $a_1 + a_2 + \ldots + a_k = n$
- $LCM(a_1, a_2, \ldots, a_k) \le \frac{n}{2}$
Here $LCM$ is the [least common multiple](https://en.wikipedia.org/wiki/Least_common_multiple) of numbers $a_1, a_2, \ldots, a_k$ .
We can show that for given constraints the answer always exists.
输入格式
The first line contains a single integer $t$ $(1 \le t \le 10^4)$ — the number of test cases.
The only line of each test case contains two integers $n$ , $k$ ( $3 \le n \le 10^9$ , $k = 3$ ).
The only line of each test case contains two integers $n$ , $k$ ( $3 \le n \le 10^9$ , $k = 3$ ).
输出格式
For each test case print $k$ positive integers $a_1, a_2, \ldots, a_k$ , for which all conditions are satisfied.
输入输出样例
输入 #1
3 3 3 8 3 14 3
输出 #1
1 1 1 4 2 2 2 6 6