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 <vector>
using namespace std;
int main() {
	int a[55555];
	fill(a, a + 55555, 0);
	vector<int> b;
	for (int i = 2; i < 55555; i++) {
		if (a[i] == 0) {
			if (i % 5 == 1) b.push_back(i);
			for (int j = i * 2; j < 55555; j += i) a[j] = 1;
		}
	}
	int n;
	scanf("%d", &n);
	for (int i = 0; i < n; i++) {
		if (i) printf(" ");
		printf("%d", b[i]);
	}
	printf("\n");
	return 0;
}