import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.*;
 
public class Main {
 
    void solve() throws IOException {
        int N = ni();
        String s = ns();
        int popc = 0;
        for (int i = 0; i < N; i++) {
            if(s.charAt(i)=='1') popc++;
        }
        int[] exp2plus = new int[N+1];
        exp2plus[0] = 1;
        int[] exp2minu = new int[N+1];
        exp2minu[0] = 1;
        for (int i = 1; i <= N; i++) {
            exp2plus[i] = ((exp2plus[i-1] *2) % (popc+1));
            if(popc>1)exp2minu[i] = ((exp2minu[i-1] * 2) % (popc-1));
        }
        int fnplus = 0;
        int fnminu = 0;
        for (int i = 0; i < N; i++) {
            if(s.charAt(i)=='1') fnplus = (fnplus + exp2plus[N-i-1]) % (popc+1);
            if(popc>1)if(s.charAt(i)=='1') fnminu = (fnminu + exp2minu[N-i-1]) % (popc-1);
        }
        for (int i = 0; i < N; i++) {
            if(popc==1&&s.charAt(i)=='1'){
                out.println(0);
                continue;
            }
            if(s.charAt(i) == '1'){
                int fni = fnminu - exp2minu[N-i-1];
                fni = (fni+popc-1) % (popc-1);
                if(fni>=popc-1) fni -= popc-1;
                int count = 1;
                while(fni!=0){
                    fni = fni % Integer.bitCount(fni);
                    count++;
                }
                out.println(count);
            }else{
                int fni = fnplus + exp2plus[N-i-1];
                fni = fni % (popc+1);
                int count = 1;
                while(fni!=0){
                    fni = fni % Integer.bitCount(fni);
                    count++;
                }
                out.println(count);
            }
        }
    }

    final int mod = 1000000007;
    final BigInteger MOD = BigInteger.valueOf(mod);
    int upperBound(ArrayList<Long> list, Long target){
        int i = Collections.binarySearch(list, target, new UpperBoundComparator<Long>());
        return ~i;
    }
    class UpperBoundComparator<T extends Comparable<? super T>> implements Comparator<T>{
        public int compare(T x, T y){
            return (x.compareTo(y) > 0) ? 1 : -1;
        }
    }
    int lowerBound(ArrayList<Long> list, Long target){
        int i = Collections.binarySearch(list, target, new LowerBoundComparator<Long>());
        return ~i;
    }
    class LowerBoundComparator<T extends Comparable<? super T>> implements Comparator<T>{
        public int compare(T x, T y){
            return (x.compareTo(y) >= 0) ? 1 : -1;
        }
    }
    int mul(int x, int y){
        int val = (int)((x * 1L * y) % mod);
        return val>=0 ? val : val+mod;
    }
    int add(int x, int y) {
        x += y;
        if(x < 0) x += mod;
        if(x>=mod) x -= mod;
        return x;
    }
    int sub(int x, int y){
        x = add(x,mod-y);
        if(x < 0) x += mod;
        if(x>=mod) x -= mod;
        return x;
    }
    String ns() throws IOException {
        while (!tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine(), " ");
        }
        return tok.nextToken();
    }
 
    int ni() throws IOException {
        return Integer.parseInt(ns());
    }
 
    long nl() throws IOException {
        return Long.parseLong(ns());
    }
 
    double nd() throws IOException {
        return Double.parseDouble(ns());
    }
 
    String[] nsa(int n) throws IOException {
        String[] res = new String[n];
        for (int i = 0; i < n; i++) {
            res[i] = ns();
        }
        return res;
    }
 
    int[] nia(int n) throws IOException {
        int[] res = new int[n];
        for (int i = 0; i < n; i++) {
            res[i] = ni();
        }
        return res;
    }
 
    long[] nla(int n) throws IOException {
        long[] res = new long[n];
        for (int i = 0; i < n; i++) {
            res[i] = nl();
        }
        return res;
    }
 
    static BufferedReader in;
    static PrintWriter out;
    static StringTokenizer tok;
 
    public static void main(String[] args) throws IOException {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        tok = new StringTokenizer("");
        Main main = new Main();
        main.solve();
        out.close();
    }
}

Measured memory_bytes: 49796