/* Aa^~ kokoro ga pyonpyon suru n jaa^~
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*/

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

using VI = vector<int>;
using VVI = vector<VI>;
using PII = pair<int, int>;
using LL = long long;
using VL = vector<LL>;
using VVL = vector<VL>;
using PLL = pair<LL, LL>;
using VS = vector<string>;

#define ALL(a)  begin((a)),end((a))
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define SZ(a) int((a).size())
#define SORT(c) sort(ALL((c)))
#define RSORT(c) sort(RALL((c)))
#define UNIQ(c) (c).erase(unique(ALL((c))), end((c)))

#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)

#define FF first
#define SS second

template<class S, class T>
istream& operator>>(istream& is, pair<S,T>& p){
  return is >> p.FF >> p.SS;
}
template<class T>
istream& operator>>(istream& is, vector<T>& xs){
  for(auto& x: xs)
	is >> x;
  return is;
}
template<class S, class T>
ostream& operator<<(ostream& os, const pair<S,T>& p){
  return os << p.FF << " " << p.SS;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T>& xs){
  for(unsigned int i=0;i<xs.size();++i)
	os << (i?" ":"") << xs[i];
  return os;
}
template<class T>
void maxi(T& x, T y){
  if(x < y) x = y;
}
template<class T>
void mini(T& x, T y){
  if(x > y) x = y;
}
void debug(istringstream&){}
template <char sep=',', class Head, class... Tail>
void debug(istringstream& iss, Head&& head, Tail&&... tail)
{
  string name;
  getline(iss, name, ',');
  cout << sep << name << "=" << head;
  debug(iss, forward<Tail>(tail)...);
}

#ifdef PYONPOI
#define DEBUG(...) \
  do{ \
    istringstream ss(#__VA_ARGS__); \
    debug<' '>(ss, __VA_ARGS__); \
    cout<<endl; \
  }while(0)
#else
#define DEBUG
#endif
void init_io(int argc, char* argv[]){
  cin.tie(0);
  ios_base::sync_with_stdio(false);
#ifdef PYONPOI
  if(argc > 1) {
    ifstream *ifs = new ifstream();
    ifs->open(argv[1]);
    cin.rdbuf(ifs->rdbuf());
  }
#endif
}


const double EPS = 1e-10;
const double PI  = acos(-1.0);
const LL MOD = 1e9+7;

LL powm(LL x, LL y, LL m){
  if(y==0) return 1;
  return powm(x*x%m, y/2, m) * (y%2 ? x : 1) % m;
}

int f(int x){
  int res = 0;
  while(x){
    x %= __builtin_popcount(x);
    ++res;
  }
  return res;
}

int main(int argc, char* argv[]){
  init_io(argc, argv);

  int N;
  cin >> N;
  string S;
  cin >> S;

  LL bit = 0;
  for(auto c : S) bit += (c == '1');

  LL m_bit = bit-1, p_bit = bit+1;
  LL m_mod = 0, p_mod = 0;
  LL mp = 1, pp = 1;
  for(int i=N-1;i>=0;--i){
    LL v = (S[i] == '1');

    if(m_bit){
      (m_mod += mp * v) %= m_bit;
      mp = mp * 2 % m_bit;
    }

    (p_mod += pp * v) %= p_bit;    
    pp = pp * 2 % p_bit;
  }

  REP(i,N){
    LL v = (S[i] == '1');
    if(v) {
      if(m_bit) {
        LL nxt = (m_mod + m_bit - powm(2, N-1-i, m_bit)) % m_bit;
        cout << f(nxt) + 1 << endl;
      }
      else cout << 0 << endl;
    }
    else {
      LL nxt = (p_mod + powm(2, N-1-i, p_bit)) % p_bit;
      cout << f(nxt) + 1 << endl;
    }
  }

  return 0;
}


Measured memory_bytes: 3764