#include"bits/stdc++.h"
using namespace std;using ll=long long;using vi=vector<int>;using vvi=vector<vi>;using vl=vector<ll>;using vvl=vector<vl>;using P=pair<int,int>;using PL=pair<ll,ll>;using vp=vector<P>;using vpl=vector<PL>;
#define pqueue priority_queue
template<typename T>constexpr auto inf=numeric_limits<T>::max()/2;constexpr int INF=inf<int>,MOD=1000000007;constexpr ll LINF=inf<ll>;
#define _ol3(_1,_2,_3,name,...)name
#define _rep(i,n)_repi(i,0,n)
#define _repi(i,a,b)for(int i=a,i##_l=(b);i<i##_l;++i)
#define REP(...)_ol3(__VA_ARGS__,_repi,_rep,)(__VA_ARGS__)
#define REPR(i,n)for(int i=n-1;i>=0;--i)
#define REPA(i,v)REP(i,(v).size())
#define all(v)(v).begin(),(v).end()
#define rall(v)(v).rbegin(),(v).rend()
#define bit(n)(1ll<<(n))
#define F first
#define S second
#define endl '\n'
void _print(ostream&){}template<class T,class...U>void _print(ostream&s,const T&t,const U&...u){s<<t<<(sizeof...(u)?' ':'\n');_print(s,u...);}
template<class...T>void print(const T&...t){_print(cout,t...);}template<class...T>void dprint(const T&...t){_print(cerr,t...);}
#ifndef LOCAL
struct osd{template<class T>osd&operator<<(const T&t){return*this;}};osd cer_;
#define dprint(...)
#define cerr cer_
#endif
#define dbg(x) dprint("@l",__LINE__,':',#x,'=',x)
#define cho(n,a,b)print((n)?a:b)
void YES(int n){cho(n,"YES","NO");}void Yes(int n){cho(n,"Yes","No");}void Poss(int n){cho(n,"Possible","Impossible");}
template<class T, class U>bool chmax(T&a,const U&b){bool x=a<b;x?a=b:b;return x;}template<class T, class U>bool chmin(T&a,const U&b){bool x=a>b;x?a=b:b;return x;}
template<class T, class U>auto max(const T&a,const U&b){return a<b?b:a;}template<class T, class U>auto min(const T&a,const U&b){return a<b?a:b;}
template<class T,class U>ostream&operator<<(ostream&o,const pair<T,U>&p){return o<<p.F<<' '<<p.S;}template<class T,class U>istream&operator>>(istream&i,pair<T,U>&p){return i>>p.F>>p.S;}
template<class T>class iterable{static false_type c(string v);template<class U>static auto c(U v)->decltype(all(v),true_type());static false_type c(...);public:const static bool value=decltype(c(declval<T>()))::value;};
template<class T,enable_if_t<iterable<T>::value,int> =0>ostream&operator<<(ostream&o,const T&v){for(auto&&i:v)o<<i<<' ';return o;}
template<class T>istream&operator>>(istream&i,vector<T>&v){for(T&j:v)i>>j;return i;}template<class T>vector<T>&operator<<(vector<T>&v,const T&t){v.push_back(t);return v;}
template<class T,class U>queue<T,U>&operator<<(queue<T,U>&v, const T&t){v.push(t);return v;}template<class T,class U>queue<T,U>&operator>>(queue<T,U>&v, T&t){t=v.front();v.pop();return v;}
template<class T,class U,class V>pqueue<T,U,V>&operator<<(pqueue<T,U,V>&v, const T&t){v.push(t);return v;}template<class T,class U,class V>pqueue<T,U,V>&operator>>(pqueue<T,U,V>&v, T&t){t=v.front();v.pop();return v;}
template<class T,class U>stack<T,U>&operator<<(stack<T,U>&v, const T&t){v.push(t);return v;}template<class T,class U>stack<T,U>&operator>>(stack<T,U>&v, T&t){t=v.front();v.pop();return v;}
template<class T,class U,class V>set<T,U,V>&operator<<(set<T,U,V>&v,const T&t){v.insert(t);return v;}template<class T,class U,class V>multiset<T,U,V>&operator<<(multiset<T,U,V>&v,const T&t){v.insert(t);return v;}
template<class T,enable_if_t<is_integral<T>::value,int> =0>T mod(T a, T b){if(a>0)return a%b;return b-(-a%b);}template<class T,enable_if_t<is_floating_point<T>::value,int> =0>T mod(T a, T b){if(a>0)return fmod(a,b);return b-fmod(-a,b);}
template<class T,class U>pair<T,U>&operator+=(pair<T,U>&a, const pair<T,U>&b){a.F+=b.F;a.S+=b.S;return a;}template<class T,class U>pair<T,U> operator+(const pair<T,U>&a, const pair<T,U>&b){auto r=a;return r+=b;}
template<class T,class U>pair<T,U>&operator-=(pair<T,U>&a, const pair<T,U>&b){a.F-=b.F;a.S-=b.S;return a;}template<class T,class U>pair<T,U> operator-(const pair<T,U>&a, const pair<T,U>&b){auto r=a;return r-=b;}
template<class T,class U>pair<T,U> operator-(const pair<T,U>&a){return {-a.F, -a.S};}
template<class T,class U>double norm(const pair<T,U>&p){return norm(p.F)+norm(p.S);}template<class T,class U>double abs(const pair<T,U>&p){return sqrt(norm(p));}

int to_int(const string& s, int m) {
    int r = 0;
    REPA(i,s){
        r = r*2 + s[i] - '0';
        r %= m;
    }
    return r;
}

int main(){
    cin.tie(0);ios::sync_with_stdio(0);
    cout<<fixed<<setprecision(10);
    int n;
    cin>>n;

    vi tbl(n+1);
    REP(i, 1, n+1) {
        tbl[i] = tbl[i % __builtin_popcount(i)] + 1;
    }

    string x;
    cin>>x;
    int pc = count(all(x), '1');

    int s_p = 0;
    int s_m = 0;
    REPA(i,x){
        s_p = s_p*2 + x[i] - '0';
        s_m = s_m*2 + x[i] - '0';
        s_p %= pc + 1;
        if(pc!=1)
            s_m %= pc - 1;
    }

    vi k_p(n);
    vi k_m(n);
    k_p[n-1] = 1;
    k_m[n-1] = pc-2; // === -1

    REPR(i,n-1){
        k_p[i] = k_p[i+1] * 2 % (pc + 1);
        if(pc!=1)
            k_m[i] = k_m[i+1] * 2 % (pc - 1);
    }

    dbg(k_p);
    dbg(k_m);
    

    REP(i,n) {
        int m = pc + (x[i] == '0' ? 1 : -1);
        x[i] = '1' + '0' - x[i]; // toggle
        // dbg(m);dbg(to_int(x, m));
        x[i] = '1' + '0' - x[i]; // rev

        if(x[i] == '0') { // _p
            // dbg(s_p + k_p[i]);
            print(tbl[(s_p + k_p[i])%(pc + 1)] + 1);
        }else{
            if(pc == 1)print(0);
            else
            // dbg(s_m + k_m[i]);
                print(tbl[(s_m + k_m[i])%(pc - 1)] + 1);
        }
    }

}


Measured memory_bytes: 5976