Sherlock and his girlfriend

#include<bits/stdc++.h>

using namespace std;

int f[100005];
int main()
{
    int n;
    cin >> n;
    n++;
    for (int i=2; i*i <= n; i++)
    {
        if (f[i] == 0)
        {
            for (int j=i*i; j <= n; j+=i)  f[j]=1;
        }
    }

    if (n < 4)
    {
        cout << 1 << endl;
    }
    else
    {
        cout << 2 << endl;
    }

   for (int i=2; i <= n; i++)  cout << f[i]+1 << " ";
}