using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
static class Program{
	const int mod=(int)1e9+7;
	const double eps=1e-11;
	static void Main(){
		Sc sc=new Sc();
		var n=sc.I;
		var t=sc.S;
		int b=0;
		for(int i = 0;i<n;i++) {
			if(t[i]=='1'){b++;}
		}
		if(b==1){
		long p1=1%(b+1),g0=0,g1=0;
		var h0=new long[n];
		var h1=new long[n];
		var a=new long[n];
		for(int i = n-1;i>=0;i--,p1=(p1*2)%(b+1)) {
			if(t[i]=='1'){
				g1=(g1+p1)%(b+1);
			}
			h1[i]=p1;
		}
		var d=new long[200011];
		for(int i = 1;i<=200010;i++) {
			int c=bits(i);
			d[i]=d[i%c]+1;
		}
		for(int i = 0;i<n;i++) {
			if(t[i]=='0'){
				a[i]=g1+h1[i];
				a[i]%=b+1;
			}
			else{
				a[i]=0;
				continue;
			}
			a[i]=d[a[i]]+1;
		}
		Console.WriteLine("{0}",String.Join("\n",a));
		}
		else{
		long p0=1%(b-1),p1=1%(b+1),g0=0,g1=0;
		var h0=new long[n];
		var h1=new long[n];
		var a=new long[n];
		for(int i = n-1;i>=0;i--,p0=(p0*2)%(b-1),p1=(p1*2)%(b+1)) {
			if(t[i]=='1'){
				g0=(g0+p0)%(b-1);
				g1=(g1+p1)%(b+1);
			}
			h0[i]=p0;
			h1[i]=p1;
		}
		var d=new long[200011];
		for(int i = 1;i<=200010;i++) {
			int c=bits(i);
			d[i]=d[i%c]+1;
		}
		for(int i = 0;i<n;i++) {
			if(t[i]=='0'){
				a[i]=g1+h1[i];
				a[i]%=b+1;
			}
			else{
				a[i]=b-1+g0-h0[i];
				a[i]%=b-1;
			}
			a[i]=d[a[i]]+1;
		}
		Console.WriteLine("{0}",String.Join("\n",a));
		}
	}
	static int bits(long bits){
		bits=(bits&0x55555555)+(bits>>1&0x55555555);
		bits=(bits&0x33333333)+(bits>>2&0x33333333);
		bits=(bits&0x0f0f0f0f)+(bits>>4&0x0f0f0f0f);
		bits=(bits&0x00ff00ff)+(bits>>8&0x00ff00ff);
		return (int)((bits&0x0000ffff)+(bits>>16&0x0000ffff));
	}
}
public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
}

Measured memory_bytes: 36932