CF1497C1.k-LCM (easy version)

普及/提高-

通过率:0%

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题目描述

It is the easy version of the problem. The only difference is that in this version k=3k = 3 .

You are given a positive integer nn . Find kk positive integers a1,a2,,aka_1, a_2, \ldots, a_k , such that:

  • a1+a2++ak=na_1 + a_2 + \ldots + a_k = n
  • LCM(a1,a2,,ak)n2LCM(a_1, a_2, \ldots, a_k) \le \frac{n}{2}

Here LCMLCM is the least common multiple of numbers a1,a2,,aka_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 tt (1t104)(1 \le t \le 10^4) — the number of test cases.

The only line of each test case contains two integers nn , kk ( 3n1093 \le n \le 10^9 , k=3k = 3 ).

输出格式

For each test case print kk positive integers a1,a2,,aka_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
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