#include "bits/stdc++.h"
using namespace std;
#define int long long
#define double long double
#define endl '\n'
#define vi vector<int>
#define vvi vector<vi>
#define vpii vector<pii>
#define vpipii vector<pipii>
#define vpiipi vector<piipi>
#define pb push_back
#define pob pop_back
#define pii pair<int,int>
#define pipii pair<int,pii>
#define piipi pair<pii,int>
#define pld pair<long double,long double>
// #define mod 1000000007
// #define mod 1000000009
// #define mod 163577857 
// #define mod 998244353
#define rep(i,n) for (int i = 0; i < n; i++)
#define repp(i,a,b) for(int i = a ; i<b ; i++)
#define reppr(i,a,b) for(int i = a-1 ; i>=b ; i--)
#define repr(i,n) for (int i = n - 1; i >= 0; i--)
#define ff first
#define ss second
#define pc putchar_unlocked
#define gc getchar_unlocked
#define inf 9223372036854775807
#define infn -9223372036854775807
#define pi 3.14159265358979323846
#define eps 0.0000000001
#define sp << " " <<
#define setprec(x) cout << fixed << setprecision(x);
#define REVERSE(a) reverse(all(a));
#define SORT(a) sort(all(a));
#define all(n) n.begin(),n.end()

int mod = 1;

//GCD and LCM
    int gcd (int a, int b) { return b ? gcd (b, a % b) : a; }
    int lcm (int a, int b) { return a / gcd(a, b) * b; }
 
//Modular Exponentiation
    int powmod(int x,int y) 
    { 
        if (y == 0) return 1; 
        int p = powmod(x, y/2) % mod; 
        p = (p * p) % mod;   
        return (y%2 == 0)? p : (x * p) % mod; 
    }
 
//Modular Inverse
    int inverse(int a) 
    { 
       return powmod(a,mod-2); 
    }

//Binomial Coefficients
    const int limbin = 500001;
    int fact[limbin], factinv[limbin] , coefficientflag = 0;
    void Util_nCr()
    {
        fact[0] = 1 , factinv[0] = 1;
        repp(i,1,limbin)
        {
            fact[i] = (fact[i-1] * i)%mod;
            factinv[i] = (factinv[i-1] * inverse(i))%mod;
        }
    }
    int nCr(int n , int r)
    {
        if(!coefficientflag) coefficientflag = 1 , Util_nCr();
        if(n<r) return 0;             
        return ((fact[n] * inverse(fact[n-r]) % mod * inverse(fact[r]))%mod) ;
    }

void solve();
signed main()
{
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    int t = 1;
    // cin >> t; 
    rep(i,t)
    {
        // cout << "Case #" << i+1 << ": ";
        solve();
    }
}

bool comp1(pii l ,pii m)
{
    if(l.ff==m.ff)
        return l.ss<m.ss;
    return l.ff>m.ff;
}

bool comp2(pii l ,pii m)
{
    if(l.ss==m.ss)
        return l.ff<m.ff;
    return l.ss>m.ss;
}


void solve()
{ 
    int n;
    cin >> n;
    string s;
    cin >> s;
    int setone = 0;
    for(auto i : s)
        setone += (i-'0');
    if(setone==1)
    {
        int ans[n] = {};
        rep(i,n)
            if(s[i]=='1')
                ans[i] = 0;
            else
                ans[i] = 1;
        if(s[n-1]=='0')
            ans[n-1] = 2;
        rep(i,n)
            cout << ans[i] << endl;
        return;
    }
    int ifzermod = 0 , ifonmod = 0;
    for(auto i : s)
        ifzermod = (ifzermod*2 + i-'0')%(setone+1);
    for(auto i : s)
        ifonmod = (ifonmod*2 + i-'0')%(setone-1);
    rep(i,n)
    {
        if(s[i]=='0')
        {
            mod = setone+1;
            int curr = ifzermod;
            curr = (curr + powmod(2,n-i-1))%mod;
            int ans = 1;
            while(curr!=0)
            {
                ans++;
                curr = curr % __builtin_popcount(curr);
            }
            cout << ans << endl;
        }
        else
        {
            mod = setone-1;
            int curr = ifonmod;
            curr = (curr - powmod(2,n-i-1) + mod)%mod;
            int ans = 1;
            while(curr!=0)
            {
                ans++;
                curr = curr % __builtin_popcount(curr);
            }
            cout << ans << endl;
        }
    }
}


Measured memory_bytes: 5256