using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
 
class Program
{
    static void Main(string[] args)
    {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);
        Solve();
        Console.Out.Flush();
    }
    static void Solve()
    {
        // 下の位から計算したいのでXを反転しておく
        var N = sc.ReadInt();
        var X = sc.ReadStr().Reverse().ToArray();
 
        // popcount(X)±1
        var pcount = X.Count(c => c == '1');
        var pc = new int[2];
        pc[0] = pcount + 1;
        pc[1] = pcount - 1;
        // ゼロ除算しないように1にする
        if (pc[1] == 0) pc[1] = 1;
 
        // popcount(X)±1で余りを求めたXの値
        var v = new long[2];
 
        // popcount(X)±1で余りを求めた2^i
        var pow = new long[N, 2];
        pow[0, 0] = 1;
        pow[0, 1] = 1;
        for (int i = 0; i < N; i++)
        {
            for (int j = 0; j < 2; j++)
            {
                if (i > 0)
                {
                    // 2^iを求める
                    pow[i, j] = pow[i - 1, j] * 2;
                    pow[i, j] %= pc[j];
                }
                // Xの値を余りをとりながら求める
                if (X[i] == '1') v[j] += pow[i, j];
                v[j] %= pc[j];
            }
        }
 
        // 2回目以降の操作を数える
        // 上位桁から出力するので逆順
        for (int i = N - 1; i >= 0; i--)
        {
            // 1個しかない'1'を反転すると0になるので操作ゼロ回
            if (pcount == 1 && X[i] == '1')
            {
                Console.WriteLine(0);
                continue;
            }
 
            // X[i] == '0' の時、1になるのでpopcount(X)+1で余りを求める
            // X[i] == '1' の時、0になるのでpopcount(X)-1で余りを求める
            var j = X[i] - '0';
            var now = v[j];
            // 反転後の値の変化を計算しておく
            if (X[i] == '0')
            {
                now += pow[i, j];
                now %= pc[j];
            }
            else
            {
                now -= pow[i, j];
                if (now < 0) now += pc[j];
            }
 
            var ans = 1L;
            while (now > 0)
            {
                ans++;
                now %= PopCount((uint)now);
            }
            Console.WriteLine(ans);
        }
    }
 
    static int PopCount(uint n)
    {
        var count = 0;
        for (int i = 0; i < 32; i++)
        {
            if (((n >> i) & 1) == 1) count++;
        }
        return count;
    }
 
    static Scanner sc = new Scanner();
}
class Scanner
{
    string[] S = new string[0];
    int Index = 0;
    char[] Separators = new char[] { ' ' };
 
    public string Next()
    {
        if (this.Index < this.S.Length) return this.S[this.Index++];
        var line = "";
        while (line == "") line = Console.ReadLine();
        this.S = line.Split(this.Separators, StringSplitOptions.RemoveEmptyEntries);
        if (this.S.Length == 0) return this.Next();
        this.Index = 0;
        return this.S[this.Index++];
    }
    public string ReadStr()
    {
        return this.Next();
    }
    public char ReadChar()
    {
        return this.Next()[0];
    }
    public int ReadInt()
    {
        return int.Parse(this.Next());
    }
    public uint ReadUInt()
    {
        return uint.Parse(this.Next());
    }
    public long ReadLong()
    {
        return long.Parse(this.Next());
    }
    public double ReadDouble()
    {
        return double.Parse(this.Next());
    }
    public Tuple<int, int> ReadTup(int add = 0)
    {
        return Tuple.Create(this.ReadInt() + add, this.ReadInt() + add);
    }
    public Tuple<long, long> ReadTupLong(int add = 0)
    {
        return Tuple.Create(this.ReadLong() + add, this.ReadLong() + add);
    }
    public Tuple<int, int, int> ReadTup3(int add = 0)
    {
        return Tuple.Create(this.ReadInt() + add, this.ReadInt() + add, this.ReadInt() + add);
    }
    public Tuple<int, int, int, int> ReadTup4(int add = 0)
    {
        return Tuple.Create(this.ReadInt() + add, this.ReadInt() + add, this.ReadInt() + add, this.ReadInt() + add);
    }
    public int[] ReadIntArray(int n)
    {
        var array = new int[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadInt();
        }
        return array;
    }
    public long[] ReadLongArray(int n)
    {
        var array = new long[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadLong();
        }
        return array;
    }
    public double[] ReadDoubleArray(int n)
    {
        var array = new double[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadDouble();
        }
        return array;
    }
    public char[] ReadCharArray(int n)
    {
        var array = new char[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadChar();
        }
        return array;
    }
    public string[] ReadStrArray(int n)
    {
        var array = new string[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadStr();
        }
        return array;
    }
    public Tuple<long, long>[] ReadTupLongArray(int n, int add = 0)
    {
        var array = new Tuple<long, long>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTupLong(add);
        }
        return array;
    }
    public Tuple<int, int>[] ReadTupArray(int n, int add = 0)
    {
        var array = new Tuple<int, int>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTup(add);
        }
        return array;
    }
    public Tuple<int, int, int>[] ReadTup3Array(int n, int add = 0)
    {
        var array = new Tuple<int, int, int>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTup3(add);
        }
        return array;
    }
    public Tuple<int, int, int, int>[] ReadTup4Array(int n, int add = 0)
    {
        var array = new Tuple<int, int, int, int>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTup4(add);
        }
        return array;
    }
}

Measured memory_bytes: 33056