///////////////////////////////////////////////////////////////////////////////

#include <bits/stdc++.h>
#include <unistd.h>
#include <time.h>
#include <sys/time.h>

using namespace std;

///////////////////////////////////////////////////////////////////////////////

#define DEBUG 0

#define pb push_back
#define V vector
#define M unordered_map
#define S static
#define PI  (3.1415926535)

#define rep(i,n) for(ll i=0LL; i<n; ++i)
#define srep(i,s,n) for(ll i=s; i<n; ++i)
#define rrep(i,n) for(ll i=n-1LL; i>=0LL; --i)
#define ALL(a) (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define CIN(x) do { \
        assert(!cin.eof()); \
        cin >> x; \
        assert(!cin.fail()); \
} while(0);
#if DEBUG
#define debug_print(...) _debug_print(__VA_ARGS__)
#define debug_printf(...) printf(__VA_ARGS__)
#define debug_print_time _debug_print_time
#else // DEBUG
#define debug_print(...)
#define debug_printf(...)
#define debug_print_time
#endif // DEBUG

typedef long long ll;
typedef unsigned long long ull;
typedef tuple<ll, ll> t2;
typedef tuple<ll, ll, ll> t3;
typedef tuple<ll, ll, ll, ll> t4;
typedef tuple<ll, ll, ll, ll, ll> t5;
template <typename T>
using priority_queue_incr = priority_queue<T, V<T>, greater<T> >;

///////////////////////////////////////////////////////////////////////////////

template <typename TT, typename T>
T get_m(M<TT, T> &m, TT k, T default_value)
{
    if (m.find(k) == m.end()) return m[k] = default_value;
    return m[k];
}

template <typename TT, typename T>
void incr_m(M<TT, T> &m, TT k)
{
    if (m.find(k) == m.end()) m[k] = 0;
    m[k]++;
}

void llin(ll &a)
{
    CIN(a);
}

void llinl1(V<ll> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a;
        CIN(a);
        v.push_back(a);
    }
}

void llinl2(V<t2> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a, b;
        CIN(a >> b);
        v.push_back(t2(a, b));
    }
}

void llinl3(V<t3> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a, b, c;
        CIN(a >> b >> c);
        v.push_back(t3(a, b, c));
    }
}

void llinl4(V<t4> &v, ll count)
{
    for (ll i = 0LL; i < count; ++i) {
        ll a, b, c, d;
        CIN(a >> b >> c >> d);
        v.push_back(t4(a, b, c, d));
    }
}

void llina(V<ll> &v, ll count)
{
    llinl1(v, count);
}

template <typename T>
void sort(V<T> &v)
{
    sort(v.begin(), v.end());
}

template <typename T>
void sort_reverse(V<T> &v)
{
    sort(v.begin(), v.end(), greater<T>());
}

template <typename T>
void _debug_print(T x)
{
    cout << x << endl;
}

void _debug_print(const t2 &x)
{
    ll x1 = get<0>(x);
    ll x2 = get<1>(x);
    cout << "-- " << x1 << " -- " << x2 << endl;
}

void _debug_print(const t3 &x)
{
    ll x1 = get<0>(x);
    ll x2 = get<1>(x);
    ll x3 = get<2>(x);
    cout << "-- " << x1 << " -- " << x2 << " -- " << x3 << endl;
}

void _debug_print(const t4 &x)
{
    ll x1 = get<0>(x);
    ll x2 = get<1>(x);
    ll x3 = get<2>(x);
    ll x4 = get<3>(x);
    cout << "-- " << x1 << " -- " << x2
         << " -- " << x3 << " -- " << x4 << endl;
}

template <typename T>
void _debug_print(T xarray[], ll n)
{
    rep (i, n) _debug_print(xarray[i]);
}

template <typename T>
void _debug_print(const V<T> &xlist)
{
    for (auto x : xlist) {
        cout << "-- ";
        _debug_print(x);
    }
}

template <typename T>
void _debug_print(const set<T> &xset)
{
    for (auto x : xset) {
        cout << "-- ";
        _debug_print(x);
    }
}

template <typename TT, typename T>
void _debug_print(const M<TT, T> &xlist)
{
    for (auto x : xlist) {
        TT k = x.first;
        T v = x.second;
        cout << "====" << endl;
        cout << "K=";
        _debug_print(k);
        cout << "V=";
        _debug_print(v);
    }
}

void _debug_print_time(const char *prefix)
{
    struct timeval tv;
    gettimeofday(&tv, NULL);
    struct tm *tm = localtime(&tv.tv_sec);
    printf("-- %s %02d:%02d:%02d.%06ld\n",
           prefix, tm->tm_hour, tm->tm_min, tm->tm_sec, tv.tv_usec);
}

///////////////////////////////////////////////////////////////////////////////

void _main();
int main()
{
    cout << setprecision(12);
#if !DEBUG
    ios::sync_with_stdio(false);
    cin.tie(0);
#endif

    _main();
    return 0;
}

ll f_val(const string &x, ll cnt)
{
    if (!cnt) return 0;

    ll ret = 0;
    ll mlt = 1;

    rrep (i, x.size()) {
        ll incr = (x[i] - '0') * mlt;
        ret += incr;
        ret %= cnt;
        mlt *= 2LL;
        mlt %= cnt;
    }

    return ret;
}

void _main()
{
    ll n; llin(n);
    string x; CIN(x);

    ll cnt_orig = 0;
    for (auto c : x) if (c == '1') cnt_orig++;

    ll cnt_incr = cnt_orig + 1LL;
    ll cnt_decr = cnt_orig - 1LL;
    debug_printf("cnt_incr=%lld cnt_decr=%lld\n", cnt_incr, cnt_decr);

    ll val_incr = f_val(x, cnt_incr);
    ll val_decr = f_val(x, cnt_decr);
    debug_printf("val_incr=%lld val_decr=%lld\n", val_incr, val_decr);

    S ll anslist[200005];
    ll mlt_incr = 1;
    ll mlt_decr = 1;

    rrep (i, n) {

        if (x[i] == '1' && cnt_decr == 0) {
            anslist[i] = 0;
            mlt_incr *= 2LL;
            mlt_incr %= cnt_incr;
            mlt_decr *= 2LL;
            if (cnt_decr) mlt_decr %= cnt_decr;
            continue;
        }

        ll val = (x[i] == '0' ? val_incr : val_decr);
        val += (x[i] == '0' ? mlt_incr : -mlt_decr);
        if (x[i] == '0' || cnt_decr) {
            while (val < 0) val += (x[i] == '0' ? cnt_incr : cnt_decr);
            val %= (x[i] == '0' ? cnt_incr : cnt_decr);
        }

        if (!val) {
            anslist[i] = 1;
            mlt_incr *= 2LL;
            mlt_incr %= cnt_incr;
            mlt_decr *= 2LL;
            if (cnt_decr) mlt_decr %= cnt_decr;
            continue;
        }

        ll ans = 1;
        while (val) {
            ll popcnt = 0;
            ll lval = val;
            while (lval) {
                ll bit = (lval & -lval);
                popcnt++;
                lval &= ~bit;
            }
            val %= popcnt;
            ans++;
        }

        anslist[i] = ans;

        mlt_incr *= 2LL;
        mlt_incr %= cnt_incr;
        mlt_decr *= 2LL;
        if (cnt_decr) mlt_decr %= cnt_decr;
    }

    rep (i, n) {
        cout << anslist[i] << endl;
    }
}

///////////////////////////////////////////////////////////////////////////////


Measured memory_bytes: 5324