//Arayi
//#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <string>
#include <queue>
#include <stack>
#include <algorithm>
#include <math.h>
#include <vector>
#include <cstring>
#include <ctime>
#include <set>
#include <bitset>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <iomanip>
#include <ctime>
#include <climits>
#include <cassert>
#include <chrono>
#include <random>
#include <complex>

#define fr first
#define sc second
#define MP make_pair
#define ad push_back
#define PB push_back
#define fastio ios_base::sync_with_stdio(false); cin.tie(0);
#define lli long long int
#define y1 arayikhalatyan
#define j1 jigglypuff
#define ld long double
#define itn int
#define pir pair<int, int> 
#define all(x) (x).begin(), (x).end()
#define str string
#define enl endl
#define en endl
#define cd complex<long double>
#define vcd vector<cd>
#define vii vector<int>
#define vlli vector<lli>
using namespace std;

lli gcd(lli a, lli b) { return (b == 0LL ? a : gcd(b, a % b)); }
ld dist(ld x, ld y1, ld x2, ld y2)
{
    return sqrt((x - x2) * (x - x2) + (y1 - y2) * (y1 - y2));
}
lli S(lli a)
{
    return (a * (a + 1LL)) / 2;
}
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
char vow[] = { 'a', 'e', 'i', 'o', 'u' };
int dx[] = { 1, -1, 0, 0, -1, -1, 1, 1, 0 };
int dy[] = { 0, 0, 1, -1, -1, 1, -1, 1, 0 };


const int N = 3e5 + 30;
lli mod = 36000;
const ld pi = acos(-1);
const int T = 238;
const ld e = 1e-13;

lli bp(lli a, lli b = mod - 2LL)
{
    lli ret = 1;
    while (b)
    {
        if (b & 1) ret *= a, ret %= mod;
        a *= a;
        a %= mod;
        b >>= 1;
    }
    return ret;
}
ostream& operator<<(ostream& c, pir a)
{
    c << a.fr << " " << a.sc;
    return c;
}
struct pt
{
    lli x, y;
    int ind;
    int bl;
    bool operator==(const pt& a)
    {
        return ind == a.ind;
    }
    bool operator<(const pt& b)
    {
        if (x == b.x) return y < b.y;
        return x < b.x;
    }
};




int n;
lli mn1, mn2;
string s;
lli mk;
lli x[N];
lli dp[N];
int f(int x)
{
    int sm = 0;
    for (int i = 0; i < 21; i++)
    {
        if ((1 << i) & x) sm++;
    }
    return x % sm;
}
int main()
{
    fastio;
    cin >> n >> s;
    reverse(all(s));
    for (int i = 0; i < n; i++)
    {
        if (s[i] == '1') mk++;
    }
    if (mk == 0)
    {
        for (int i = 0; i < n; i++)
        {
            cout << 1 << " ";
        }
        return 0;
    }
    if (mk == 1)
    {
        reverse(all(s));
        for (int i = 0; i < n; i++)
        {
            if (s[i] == '1') cout << 0 << " ";
            else
            {
                if (s.back() == '1' || i == n - 1) cout << 2 << " ";
                else cout << 1 << " ";
            }
        }
        return 0;
    }
    mod = mk + 1LL;
    for (int i = 0; i < n; i++)
    {
        if (s[i] == '1') mn1 += bp(2, i);
        mn1 %= mod;
    }
    mod = mk - 1LL;
    for (int i = 0; i < n; i++)
    {
        if (s[i] == '1') mn2 += bp(2, i);
        mn2 %= mod;
    }
    for (int i = 0; i < n; i++)
    {
        if (s[i] == '1')
        {
            mod = mk - 1LL;
            x[i] = mn2 - bp(2, i);
            x[i] %= mod;
            if (x[i] < 0) x[i] += mod;
        }
        else
        {
            mod = mk + 1LL;
            x[i] = mn1 + bp(2, i);
            x[i] %= mod;
        }
    }
    for (int i = 1; i <= n + 10; i++)
    {
        dp[i] = 1LL + dp[f(i)];
    }
    for (int i = 0; i < n; i++)
    {
        cout << dp[x[n - i - 1]] + 1 << " ";
    }
    return 0;
}

/*


  __
*(><)*
  \/ /
  ||/
--||
  ||
  /\
 /  \
/    \
*/

Measured memory_bytes: 6900