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 <iostream>
using namespace std;

const int inf = 55555;

int main()
{
	int n;
	cin >> n;

	int num = 0;
	for(int i=6;i<inf;i+=5){
		bool prime = true;
		for(int j=2;j<i;j++){
			if(i % j == 0){
				prime = false;
				break;
			}
		}
		if(prime){
			cout << i << " ";
			num++;
		}
		if(num == n)
			break;
	}
	cout << endl;
}