Problem: Print a sequence a_1, a_2, ..., a_N whose length is N that satisfies the following conditions:

* a_i (1 \leq i \leq N) is a prime number at most 55 555.
* The values of a_1, a_2, ..., a_N are all different.
* In every choice of five different integers from a_1, a_2, ..., a_N, the sum of those integers is a composite number.



If there are multiple such sequences, printing any of them is accepted.

Constraints

* N is an integer between 5 and 55 (inclusive).

Input

Input is given from Standard Input in the following format:


N


Output

Print N numbers a_1, a_2, a_3, ..., a_N in a line, with spaces in between.

Examples

Input

5


Output

3 5 7 11 31


Input

6


Output

2 3 5 7 11 13


Input

8


Output

2 5 7 13 19 37 67 79

Solution (in CPP):

Solution:
#include<bits/stdc++.h>
using namespace std;

int main()
{
	int j,tmp=0,flag=1;
	cin >> j;
	for(int i=2;;i++)
	{
		for(int x=2;x*x<=i;x++)
		{
			if(i%x==0) flag=0;
		}
		if(flag==0)
		{
			flag=1;
			continue;
		}
		else
		{
			if(i%10==1)
			{
				tmp++;
				if(tmp>j) return 0;
				cout << i << ' ';
			}
		}
	}
}