using System;
using System.Collections;
using System.Collections.Generic;
using System.Text;
using System.Linq;

namespace contest_Csharp
{
    class Program
    {


        static void Main(string[] args)
        {
            checked
            {
                var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
                Console.SetOut(sw);

                var vals = Console.ReadLine().Split(' ').
                    Select(x => int.Parse(x)).ToList();

                var N = vals[0];
                var X = Console.ReadLine();

                var cnt1A = X.Count(x => x == '1');
                var cnt1B = cnt1A - 1;

                //X=0,1の処理
                if (cnt1A == 0)
                {
                    for (int i = 0; i < N; i++)
                    {
                        Console.WriteLine(1);
                    }
                }
                else if (cnt1A == 1)
                {
                    for (int i = 0; i < N; i++)
                    {
                        
                        if (X[i] == '1')
                            Console.WriteLine(0);
                        else if(i==N-1)
                            Console.WriteLine(2);
                        else if (X[N - 1] == '1')
                            Console.WriteLine(2);
                        else
                            Console.WriteLine(1);
                    }
                }
                else
                {
                    cnt1A++;
                    int[] modA = new int[N];
                    int[] modB = new int[N];
                    modA[0] = 1;
                    modB[0] = 1;
                    for (int i = 1; i < N; i++)
                    {
                        modA[i] = (modA[i - 1] * 2) % cnt1A;
                        modB[i] = (modB[i - 1] * 2) % cnt1B;
                    }
                    long modAsum = 0;
                    long modBsum = 0;
                    for (int i = 0; i < N; i++)
                    {
                        if (X[N - 1 - i] == '1')
                        {
                            modAsum = (modAsum + modA[i]) % cnt1A;
                            modBsum = (modBsum + modB[i]) % cnt1B;
                        }
                    }

                    for (int i = 0; i < N; i++)
                    {
                        if (X[i] == '1')
                        {
                            int K = (int)(modBsum - modB[N - 1 - i]) % cnt1B;
                            K = (cnt1B + K) % cnt1B;
                            int ans = 1;
                            while (K != 0)
                            {
                                /*int Kp = propcnt(K);
                                if (Kp == 0)
                                {
                                    break;
                                }*/
                                K = K % propcnt(K);
                                ans++;
                            }
                            Console.WriteLine(ans);
                        }
                        if (X[i] == '0')
                        {
                            int K = (int)(modAsum + modA[N - 1 - i]) % cnt1A;
                            K = (cnt1A + K) % cnt1A;
                            int ans = 1;
                            while (K != 0)
                            {
                                
                                K = K % propcnt(K);
                                ans++;
                            }
                            Console.WriteLine(ans);
                        }
                    }


                    //var ans = A.Where((x,i)=> (x%2==1 && i%2==0)).Count();



                }
            }
            //Console.WriteLine(propcnt(8));
            Console.Out.Flush();
        }
        static public int propcnt(int n)
        {
            int result = 0;
            for (int i = 0; i < 25; i++)
            {
                result += (n >> i) % 2;
            }
            return result;
        }




    }
}




Measured memory_bytes: 30404