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;

bool isprime(int p) {
	if (p == 1) return false;
	for (int i = 2; i < p; i++) {
		if (p%i == 0) return false;
	}
	return true;
}

int n;

int main() {
	cin >> n;
	for (int i = 41; i <= 55555; i += 10) {
		if (isprime(i) == true) {
			if (i != 41) cout << " ";
			cout << i; n--;
		}
		if (n == 0) break;
	}
	cout << endl;
	return 0;
}