#include <bits/stdc++.h>
using namespace std;
#define LOCAL
#pragma region Macros
typedef long long ll;
#define ALL(x) (x).begin(),(x).end()
const long long MOD=1e9+7;
// const long long MOD=998244353;
const int INF=1e9;
const long long IINF=1e18;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
const char dir[4]={'D','R','U','L'};

template<typename T>
istream &operator>>(istream &is,vector<T> &v){
    for (T &x:v) is >> x;
    return is;
}
template<typename T>
ostream &operator<<(ostream &os,const vector<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const pair<T,U> &p){
    cout << '(' << p.first << ',' << p.second << ')';
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();++itr){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();++itr){
        os << *itr;
        if (++itr!=s.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}

void debug_out(){cerr << '\n';}
template<class Head,class... Tail>
void debug_out(Head&& head,Tail&&... tail){
    cerr << head;
    if (sizeof...(Tail)>0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) cerr << " ";\
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\
cerr << " ";\
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}
template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}

template<class T1,class T2> inline bool chmin(T1 &a,T2 b){
    if (a>b){a=b; return true;} return false;
}
template<class T1,class T2> inline bool chmax(T1 &a,T2 b){
    if (a<b){a=b; return true;} return false;
}
#pragma endregion

const int MAX=2e5+10;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N; string X; cin >> N >> X;
    vector<ll> f(MAX);
    reverse(ALL(X));
    f[0]=0;
    for (int i=1;i<MAX;++i){
        int flag=__builtin_popcount(i);
        f[i]=f[i%flag]+1;
    }
    ll cnt=0;
    for (int i=0;i<N;++i) cnt+=(X[i]-'0');
    vector<ll> whole(2,0);
    vector<vector<ll>> each(2,vector<ll>(N));
    for (int j=0;j<2;++j){
        ll p=(!j?cnt+1:cnt-1);
        if (p<1) continue;
        each[j][0]=1%p;
        for (int i=1;i<N;++i){
            each[j][i]=each[j][i-1]*2%p;
        }
        for (int i=0;i<N;++i){
            if (X[i]=='1'){
                (whole[j]+=each[j][i])%=p;
            }
        }
    }
    // debug(cnt,whole);
    vector<int> ans;
    for (int i=0;i<N;++i){
        int x=X[i]-'0';
        ll p=cnt+(x?-1:1);
        if (p==0){
            ans.emplace_back(0);
            continue;
        }
        int nxt=(whole[x]+p+(x?-each[x][i]:each[x][i]))%p;
        // debug(i,x,whole[x],each[x][i],nxt);
        // debug(nxt);
        ans.emplace_back(1+f[nxt]);
    }
    reverse(ALL(ans));
    for (int i=0;i<N;++i) cout << ans[i] << '\n';
}

Measured memory_bytes: 9952