#include <bits/stdc++.h>
using namespace std;

#define repi(i, a, n) for (int i = a; i < (int)(n); ++i)
#define rep(i, n) repi(i, 0, n)
#define all(v) begin(v), end(v)

using ll = long long;

int main() {
  // freopen("1.txt", "rb", stdin);
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  int N;
  cin >> N;

  vector<int> F(N + 1);
  F[1] = 1;
  for (int i = 2; i <= N; ++i) {
    int mx = 1;
    for (int j = 1; 1LL * j * j <= i; ++j) {
      if (i % j == 0) {
        mx = max(mx, F[j]);
        mx = max(mx, F[i / j]);
      }
    }

    F[i] = mx + 1;
  }

  for (int i = 1; i <= N; ++i) {
    cout << F[i] << ' ';
  }
  cout << '\n';

  return 0;
}
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
// using namespace std;
#if __has_include(<atcoder/all>)
#include<atcoder/all>
// using namespace atcoder;
#endif
#define int long long

#pragma region header

#pragma region alias

using lint = long long;
using ll = long long;
using P = std::pair<int,int>;
template<class T> using prique = std::priority_queue<T,std::vector<T>,std::greater<T>>;

#pragma endregion

#pragma region macros

#define rep(i, n) for(int i = 0;i<(int)(n);i++)
#define REP(i, m, n) for(int i = (m);i<(int)(n);i++)
#define drep(i, n) for(int i = (n)-1;i>=0;i--)
#define DREP(i, m, n) for(int i = (m)-1;i>=(int)(n);i--)
#define all(v) (v).begin(),(v).end()
#define reall(v) (v).rbegin(),(v).rend()

template<class T, class U>
bool chmax(T& a,const U b) {
    if(a < b) {
        a = b;
        return true;
    }
    return false;
}

template<class T, class U>
bool chmin(T& a,const U b) {
    if(a>b) {
        a = b;
        return true;
    }
    return false;
}

std::map<int,int> prime_div(int n) {
    std::map<int,int> mp;
    if(~n&1) while(~n&1) n>>=1,mp[2]++;
    for(int i = 3;i<=std::sqrt(n);i+=2) {
        if(n%i==0) {
            while(n%i==0) {
                n/=i;
                mp[i]++;
            }
        }
    }
    if(n!=1) mp[n]++;
    return mp;
}

#pragma endregion

#pragma region constant

constexpr long long inf = 1LL << 61;
constexpr int dx[9] = {1, 0, -1, 0, 1, 1, -1, -1, 0};
constexpr int dy[9] = {0, 1, 0, -1, 1, -1, 1, -1, 0};
constexpr long long mod = 1e9+7;
constexpr long long MOD = 998244353;

#pragma endregion

#pragma region inout

template<class T>
std::ostream& operator<<(std::ostream& stream, const std::vector<T>& v) {
    for(int i = 0; i < (int)(v.size()); i++) {
        stream << v[i];
        if(i != (int)(v.size()) - 1) stream << ' ';
    }
    return stream;
}

template<typename Itr>
inline void print(const Itr& begin, const Itr& end, bool endline = true, const char* BEGIN = "{", const char* mid = ", ", const char* END = "}") {
    if(begin == end) return;
    std::cout << BEGIN << *begin;
    for(Itr itr = begin+1; itr < end; itr++) std::cout << mid << *itr;
    std::cout << END;
    if(endline) std::endl(std::cout);
    return;
}

template<class T>
std::istream& operator>>(std::istream& stream, std::vector<T>& v) {
    for(T& p:v) stream >> p;
    return stream;
}

template<typename Itr>
inline void input(Itr begin, Itr end) {
    for(Itr& itr = begin; itr < end; itr++) std::cin >> *itr;
    return;
}

template<class T, class U>
std::ostream& operator<<(std::ostream& stream, const std::pair<T,U>& pair) {
    return stream << pair.first << ' ' << pair.second;
}

template<class T, class U>
inline void print(const std::pair<T,U>& pair,const bool endline = true, const char* begin = "(", const char* mid = ", ", const char* end = ")") {
    std::cout << begin << pair.first << mid << pair.second << end;
    if(endline) std::endl(std::cout);
    else std::cout << ' ';
    return;
}

template<class T, class U>
std::istream& operator>>(std::istream& stream, std::pair<T,U>& pair) {
    return stream >> pair.first >> pair.second;
}

template<class T, class U>
inline void input(std::pair<T,U>& pair, const bool first = true, const bool second = true) {
    if(first) std::cin >> pair.first;
    if(second) std::cin >> pair.second;
}

#pragma endregion

#pragma region DEBUG

#ifdef _DEBUG
#define debug(x) {do{std::cout << #x << ": ";view(x);}while(0);}
#else
#define debug(x)
#endif

template<class T> inline void view(const T& x) {
    std::cout << x << std::endl;
}

template<class T> inline void view(const std::vector<T>& v) {
    print(all(v));
}

#pragma endregion

#pragma endregion

signed main() {
    int n;
    std::cin >> n;
    std::vector<int> v(n+1);
    REP(i, 1, n+1) {
        v[i]++;
        for(int j = i*2;j<=n;j+=i) chmax(v[j],v[i]);
    }
    REP(i, 1, n+1) std::cout << v[i] << " \n"[i==n];
    return 0;
}