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>
#include <algorithm>
#include <vector>
#include <cstring>

using namespace std;

int prime(int x) {
	for (int i = 3; i * i <= x; i += 2)
		if (x % i == 0) return 0;
	return 1;
}

vector<int> ans;

int main() {
	for (int i = 11; i <= 5555; i += 10)
		if (prime(i)) ans.push_back(i);
	int n;
	cin >> n;
	for (int i = 0; i < n; ++i) cout << ans[i] << ' ';
	return 0;
}