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 prime(int t){for(int x=2;x*x<=t;x++){if(t%x==0){return 2;}}return 1;}int main(){int a,m=0;cin>>a;int b[a];for(int i=3;;i+=10){if(prime(i)==1){b[m]=i;m++;}if(m==a){break;}}for(int i=0;i<a;i++){cout<<b[i]<<" ";}return 0;}