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;


int main() {
  int N;
  cin>>N;
  vector<long> a;
  int idx=0;
  for(int i=31;i<=55555;i+=30){
    bool flg=true;
    for(int j=2;j*j<=i;j++){
      if(i%j==0) flg=false;
    }
    if(flg) a.push_back(i);
  }
  for(int i=0;i<N;i++){
    cout<<a[i]<<" ";
  }
  cout<<endl;
  }