import java.util.*;
import java.io.*;

public class Main {
    static final int SIZE = 200010;

    public static void main(String[] args) {
        FastScanner sc = new FastScanner();
        int n = sc.nextInt();
        String sx = sc.next();
        int num1 = 0;
        for (int i = 0; i < sx.length(); i++) {
            if(sx.charAt(i) == '1') num1++;
        }

        int nump = num1 + 1;
        int numn = num1 - 1;
        if(numn < 1) numn = 1;

        int[] num2p = new int[SIZE];
        int[] num2n = new int[SIZE];

        if(nump != 1) num2p[0] = 1;
        if(numn != 1) num2n[0] = 1;

        int sump = 0;
        int sumn = 0;

        if(sx.charAt(sx.length()-1) == '1'){
            sump += num2p[0];
            sumn += num2n[0];
        }

        for (int i = 1; i < SIZE; i++) {
            num2p[i] = (num2p[i-1] * 2) % nump;
            num2n[i] = (num2n[i-1] * 2) % numn;
            if(sx.length()-i-1 >= 0 && sx.charAt(sx.length()-i-1) == '1'){
                sump += num2p[i];
                sump %= nump;
                sumn += num2n[i];
                sumn %= numn;
            }
        }

        for (int i = 0; i < n; i++) {
            int mx;
            if(sx.charAt(i) == '0'){
                mx = sump + num2p[sx.length()-1-i];
                mx %= nump;
            }else{
                if(num1 == 1){
                    System.out.println(0);
                    continue;
                }
                mx = sumn - num2n[sx.length()-1-i];
                if(mx < 0) mx += numn;
            }

            System.out.println(count(mx) + 1);
        }

    }

    static int count(int n){
        int ret = 0;
        while(n > 0){
            int pop = Integer.bitCount(n);
            n = n % pop;
            ret++;
        }
        return ret;
    }

    private static class FastScanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            }else{
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            if (!hasNext()) throw new NoSuchElementException();
            long n = 0;
            boolean minus = false;
            int b = readByte();
            if (b == '-') {
                minus = true;
                b = readByte();
            }
            if (b < '0' || '9' < b) {
                throw new NumberFormatException();
            }
            while(true){
                if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                }else if(b == -1 || !isPrintableChar(b)){
                    return minus ? -n : n;
                }else{
                    throw new NumberFormatException();
                }
                b = readByte();
            }
        }
        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
            return (int) nl;
        }
        public double nextDouble() { return Double.parseDouble(next());}
    }
}




Measured memory_bytes: 55172