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

typedef long long ll;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef vector<vector<vector<ll>>> vvvll;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;
typedef vector<vector<vector<bool>>> vvvb;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef vector<vpll> vvpll;
typedef vector<double> vd;
typedef vector<vd> vdd;

#define FOR(i,x,y) for(ll i=(ll)x; i<(ll)y; ++i)
#define REP(i,y) FOR(i, 0, y)
#define RFOR(i,x,y) for(ll i=(ll)x; i>=(ll)y; --i)
#define RREP(i,x) RFOR(i, x, 0)
#define ALL(a) a.begin(), a.end()
#define pb push_back
#define debug_print(x...) cerr << "line " << __LINE__ << " : "; debug_print_in(x);

template <typename First>
void debug_print_in(First first){
  cerr << first << endl;
  return;
}

template <typename First, typename... Rest>
void debug_print_in(First first, Rest... rest){
  cerr << first << " ";
  debug_print_in(rest...);
  return;
}

void IN(void){
  return;
}

template <typename First, typename... Rest>
void IN(First& first, Rest&... rest){
  cin >> first;
  IN(rest...);
  return;
}

template <typename First>
void OUT(First first){
  cout << first << endl;
  return;
}

template <typename First, typename... Rest>
void OUT(First first, Rest... rest){
  cout << first << " ";
  OUT(rest...);
  return;
}

template<class t, class u> void chmax(t&a,u b){if(a<b)a=b;};
template<class t, class u> void chmin(t&a,u b){if(a>b)a=b;};
int popcount(int t){return __builtin_popcount(t);} //GCC
int popcount(ll t){return __builtin_popcountll(t);} //GCC

template <typename T>
void vec_print(vector<T> VEC){
  REP(i, VEC.size()){
    cerr << VEC[i] << " ";
  }
  cerr << endl;
};

template <typename T>
void mat_print(vector<vector<T> > MAT){
  REP(i,MAT.size()){
    REP(j,MAT[i].size()){
      cerr << MAT[i][j] << " ";
    }
    cerr << endl;
  }
};

constexpr int INF = (1<<30);
constexpr ll INFLL = 1LL<<62;
constexpr long double EPS = 1e-12;
constexpr ll MOD = (ll)((1E+9)+7);

ll calc_f(ll val){
  if(val==0) return 0;
  return 1+calc_f(val%__builtin_popcountll(val));
}

int main(){
  cin.tie(0); // cut the cin and cout (default, std::flush is performed after std::cin)
  ios::sync_with_stdio(false); // cut the iostream and stdio (DON'T endl; BUT "\n";)

  ll N;
  IN(N);
  string X;
  IN(X);

  ll X_popcount = 0;
  REP(i,N){
    if(X[i]=='1'){
      X_popcount++;
    }
  }

  ll X0 = 0;
  ll X1 = 0;
  ll val0 = 1;
  ll val1 = 1;
  ll X_popcount0 = X_popcount-1;
  ll X_popcount1 = X_popcount+1;
  REP(i,N){
    ll tmp = (ll)(X[N-1-i]-'0');
    if(tmp==1){
      X0 += val0;
      X1 += val1;
      if(X_popcount0>0){
        X0 %= X_popcount0;
      }
      X1 %= X_popcount1;
    }
    if(X_popcount0>0){
      val0 = (val0*2)%X_popcount0;
    }
    val1 = (val1*2)%X_popcount1;
  }

  if(X_popcount0>0){
    X0 = X0%X_popcount0;
  }
  X1 = X1%X_popcount1;

  vll ans;
  val0 = 1;
  val1 = 1;
  REP(i,N){
    string Xi = X;
    ll Xi_popcount = X_popcount;
    ll pos = N-1-i;
    ll X;
    if(Xi[pos]=='0'){
      Xi[pos] = '1';
      Xi_popcount++;

      X = X1 + val1;
      X %= X_popcount1;
    }else{
      Xi[pos] = '0';
      Xi_popcount--;

      if(Xi_popcount==0){
        ans.push_back(0);
        continue;
      }
      X = X0 - val0;
      if(X<0){
        X = -X;
        ll hoge = X/X_popcount0;
        X = -X;
        X += (hoge+2)*X_popcount0;
      }
      X %= X_popcount0;
    }
    ll tmp_ans = 1;
    //debug_print(X, calc_f(X));
    ans.push_back(tmp_ans+calc_f(X));

    if(X_popcount0>0){
      val0 = (val0*2)%X_popcount0;
    }
    val1 = (val1*2)%X_popcount1;
  }

  reverse(ALL(ans));

  REP(i,N){
    //printf("%c ", X[i]);
    printf("%lld\n", ans[i]);
  }

  return 0;
}


Measured memory_bytes: 5788