Problem:
Score : 100 points

Problem Statement

Print the K-th element of the following sequence of length 32:

1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51

Constraints

1 \leq K \leq 32

All values in input are integers.

Input

Input is given from Standard Input in the following format:

K

Output

Print the K-th element.

Sample Input 1

6

Sample Output 1

2

The 6-th element is 2.

Sample Input 2

27

Sample Output 2

5

The 27-th element is 5.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <bits/stdc++.h>
#include <math.h>
using namespace std;
typedef long long int ll;
#define PI  3.14159265358979323846
#define M   1000000009
ll fast(ll n,ll a,ll m)
{
    if(n==0)
        return 1;
    else if(n==1)
        return a;
    else
    {
        ll r=fast(n/2,a,m);
        if(n%2==0)
        {
            return (((r%m)*(r%m))%m);
        }
        else
        {
            return (((((r%m)*a)%m)*r)%m);
        }

    }
}
int main()
{
    int a[32]={1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51};
    int n;
    cin>>n;
    cout<<a[n-1];
}