CF327B.Hungry Sequence

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题目描述

Iahub and Iahubina went to a date at a luxury restaurant. Everything went fine until paying for the food. Instead of money, the waiter wants Iahub to write a Hungry sequence consisting of nn integers.

A sequence a1a_{1} , a2a_{2} , ..., ana_{n} , consisting of nn integers, is Hungry if and only if:

  • Its elements are in increasing order. That is an inequality a_{i}<a_{j} holds for any two indices i,ji,j (i<j) .
  • For any two indices ii and jj (i<j) , aja_{j} must not be divisible by aia_{i} .

Iahub is in trouble, so he asks you for help. Find a Hungry sequence with nn elements.

输入格式

The input contains a single integer: nn ( 1<=n<=1051<=n<=10^{5} ).

输出格式

Output a line that contains nn space-separated integers a1a_{1} a2a_{2} , ..., ana_{n} (1<=ai<=107)(1<=a_{i}<=10^{7}) , representing a possible Hungry sequence. Note, that each aia_{i} must not be greater than 1000000010000000 ( 10710^{7} ) and less than 11 .

If there are multiple solutions you can output any one.

输入输出样例

  • 输入#1

    3
    

    输出#1

    2 9 15
    
  • 输入#2

    5
    

    输出#2

    11 14 20 27 31
    
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