#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <climits>
#include <cstring>
#include <cassert>


using namespace std;
#define SZ(x) (int)(x.size())
#define REP(i, n) for(int i=0;i<n;++i)
#define FOR(i, a, b) for(int i=a;i<b;++i)
#define RREP(i, n) for(int i=n-1;i>=0;--i)
#define RFOR(i, a, b) for(int i=b-1;i>=a;--i)

#define all(x) begin(x),end(x)
#define dump(x) cerr<<#x<<" = "<<(x)<<endl
#define debug(x) cerr<<#x<<" = "<<(x)<<" (L"<<__LINE__<<")"<< endl;

using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using vvll = vector<vll>;
using P = pair<int, int>;
const double eps = 1e-8;
const ll MOD = 1000000007;
const int INF = INT_MAX / 2;
const ll LINF = LLONG_MAX / 2;

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

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


template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> p) {
    os << p.first << ":" << p.second;
    return os;
}

template<class T>
ostream &operator<<(ostream &os, const vector<T> &v) {
    os << "[";
    REP(i, SZ(v)) {
        if (i) os << ", ";
        os << v[i];
    }
    return os << "]";
}

template<class T1, class T2>
ostream &operator<<(ostream &os, const map<T1, T2> &mp) {
    os << "[";
    for (auto it = mp.begin(); it != mp.end(); ++it) {
        if (it != mp.begin()) {
            os << ", ";
        }
        os << *it;
    }
    return os << "]";
}

// edit

ll func(ll val) {
    if (val == 0) return 0;
    int nm = __builtin_popcount((unsigned) val);

    ll tmp = func(val % nm) + 1;
    return tmp;
}

ll pow(ll x, ll p, ll m) {
    ll base = x;
    ll ret = 1;

    while (p > 0) {
        if (p % 2) {
            ret = ret * base % m;
        }
        base = base * base % m;
        p >>= 1;
    }

    return ret;
}

void solve() {

    int N;
    string X;
    cin >> N >> X;

    string S = X;
    ll cnt = 0;
    REP(j, N) {
        if (S[j] == '1') cnt++;
    }
    ll pcnt = cnt;

    ll mm = 0;
    ll mp = 0;
    REP(j, N) {
        mp *= 2;
        mp += S[j] - '0';
        mp %= cnt + 1;

        if (cnt > 1) {
            mm *= 2;
            mm += S[j] - '0';
            mm %= cnt - 1;
        }
    }


    for (int i = 0; i < N; ++i) {
        if (S[i] == '1') {
            cnt--;
        } else {
            cnt++;
        }
        S[i] ^= 1;

        if (cnt == 0) {
            cout << 0 << endl;
            if (S[i] == '1') {
                cnt--;
            } else {
                cnt++;
            }
            S[i] ^= 1;
            continue;
        }

        if (cnt == 1) {
            cout << 1 << endl;
            if (S[i] == '1') {
                cnt--;
            } else {
                cnt++;
            }
            S[i] ^= 1;
            continue;
        }

        ll val = 0;
        REP(j, N) {
            val *= 2;
            val += S[j] - '0';
            val %= cnt;
        }
//        cerr << val << endl;

        ll diff = pow(2, N - 1 - i, cnt);

        if (cnt > pcnt) {
            val = mp + diff;
        } else {
            val = mm - diff;
        }
        val %= cnt;
        if (val < 0) val += cnt;

//        cerr << val << endl;


        ll ans = 1 + func(val);
        cout << ans << endl;

        if (S[i] == '1') {
            cnt--;
        } else {
            cnt++;
        }
        S[i] ^= 1;

//        cerr << "---" << endl;
    }
}


int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
//    std::ifstream in("input.txt");
//    std::cin.rdbuf(in.rdbuf());

    solve();


    return 0;
}


Measured memory_bytes: 3368