CF364C.Beautiful Set

普及/提高-

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题目描述

We'll call a set of positive integers aa beautiful if the following condition fulfills: for any prime pp , if , then . In other words, if one number from the set is divisible by prime pp , then at least half of numbers from the set is divisible by pp .

Your task is to find any beautiful set, where the number of elements is equal to kk and each element doesn't exceed 2k22k^{2} .

输入格式

The first line contains integer kk ( 10<=k<=500010<=k<=5000 ) that shows how many numbers the required beautiful set should have.

输出格式

In the first line print kk space-separated integers that are a beautiful set. If there are multiple such sets, you are allowed to print any of them.

输入输出样例

  • 输入#1

    10
    

    输出#1

    16 18 24 27 36 48 54 72 108 144 
    
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