CF797A.k-Factorization

普及/提高-

通过率:0%

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题目描述

Given a positive integer nn , find kk integers (not necessary distinct) such that all these integers are strictly greater than 11 , and their product is equal to nn .

输入格式

The first line contains two integers nn and kk ( 2<=n<=1000002<=n<=100000 , 1<=k<=201<=k<=20 ).

输出格式

If it's impossible to find the representation of nn as a product of kk numbers, print -1.

Otherwise, print kk integers in any order. Their product must be equal to nn . If there are multiple answers, print any of them.

输入输出样例

  • 输入#1

    100000 2
    

    输出#1

    2 50000 
    
  • 输入#2

    100000 20
    

    输出#2

    -1
    
  • 输入#3

    1024 5
    

    输出#3

    2 64 2 2 2 
    
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