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;

vector<int> vec;
int n;

bool prime(int n) {
    for (int i = 2; i * i <= n; i++)
	if (n % i == 0)
	    return false;
    return n != 1;
}

int main() {
    for (int i = 1; vec.size() < 55; i++)
	if (prime(i * 10 + 1))
	    vec.push_back(i * 10 + 1);
    cin >> n;
    for (int i = 0; i < n; i++)
	cout << vec[i] << " ";
}