#include <vector>
#include <iostream>
#include <cmath>
#include <map>
#include <unordered_map>
#include <algorithm>
#include <fstream>
#include <unistd.h>
#include <string.h>
#include <string>
#include <numeric>
#include <queue>
#include <deque>
#include <sstream>
#include <iomanip>
#include <set>
#include <stack>
#include <cassert>
#include <functional>
#include <random>
#include <bitset>
using namespace std;
typedef int64_t ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<vvl> vvvl;
typedef vector<vvvl> vvvvl;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;
typedef vector<vvb> vvvb;
typedef vector<vvvb> vvvvb;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef vector<vvs> vvvs;
typedef vector<char> vc;
typedef vector<vector<char>> vvc;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef vector<vvd> vvvd;
typedef vector<long double> vld;
typedef vector<vld> vvld;
typedef unordered_map<ll, ll> uii;
typedef unordered_map<ll, ll> uuii;
typedef unordered_map<ll, ll> uuuii;
typedef pair<ll, ll> PL;
typedef vector<PL> vpl;
typedef vector<vector<PL>> vvpl;
typedef vector<vvpl> vvvpl;
typedef pair<ll, PL> TL;
typedef vector<TL> vtl;
typedef vector<vtl> vvtl;
typedef bitset<64> bs;
const ll LINF = 1e18;
const long double pi = 3.1415926535897932;
const string endstr = "\n";
#define FOR(i, a, b) for(ll i = (a); i < b; i++)
#define rep(i, n) for(ll i = 0; i < n; i++)
#define FORMAP(it, m) for(auto it = m.begin(); it != m.end(); it++)
#define ff first
#define ss second
#define pb push_back
#define ALL(X) (X).begin(),(X).end()

template <typename T> T gcd(T a, T b) {return (a == 0) ? b : gcd(b%a, a);}
template <typename T> T lcm(T a, T b) { return a / gcd(a, b) * b;}

bool p_comp_fs(const PL p1, const PL p2){ return p1.first < p2.first;};
bool p_comp_fg(const PL p1, const PL p2){ return p1.first > p2.first;};
bool p_comp_ss(const PL p1, const PL p2){ return p1.second < p2.second;};
bool p_comp_sg(const PL p1, const PL p2){ return p1.second > p2.second;};
template <typename T>
vector<T> uniquen(vector<T> vec /* copy */){
    sort(ALL(vec)); vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec;
}

inline ll popcnt(ll x){return __builtin_popcountll((unsigned long long)x);};
template<class T> bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; }
//friend bool operator<(const tpl& lhs, const tpl& rhs){
//    return std::tie(lhs.l, lhs.r) < std::tie(rhs.l, rhs.r);
//}

bool bit(ll st, ll b){return ((st>>b)&1) == 1;}


ll dfs(ll x){
    if(x == 0) return 0;
    ll k = popcnt(x);
    return dfs(x%k) + 1;
}

int main(){
#ifdef __DEBUG_LOCAL__
    ifstream file("../../../../../in.txt"); if(file.is_open()) cin.rdbuf(file.rdbuf());
#endif
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    
    ll N; cin >> N;
    string X; cin >> X;
    
    reverse(ALL(X));
    
    ll K = 0; rep(i, N) if(X[i] == '1') K++;

    
    
    vl mm(N, 0), pm(N, 0);
    ll mnow = 1, pnow = 1, xm = 0, xp = 0;
    rep(i, N){
        if(K > 1) mm[i] = mnow%(K-1);
        pm[i] = pnow%(K+1);
        if(X[i] == '1'){
            if(K > 1) xm = (xm + mnow)%(K-1);
            xp = (xp + pnow)%(K+1);
        }
        
        if(K > 1) mnow = (mnow*2) % (K-1);
        pnow = (pnow*2) % (K+1);
    }
    
    
    vl ans(N, 0);
    rep(i, N){
        ll c = 0;
        if(X[i] == '1'){
            if(K > 1){
                c = (xm - mm[i] + (K-1))%(K-1);
                ans[i] = dfs(c) + 1;
            }
            else{
                ans[i] = 0;
            }
        }
        else{
            c = (xp + pm[i] + (K+1))%(K+1);
            ans[i] = dfs(c) + 1;
        }
    }
    
    reverse(ALL(ans));
    
    rep(i, N) cout << ans[i] << endstr;
    
    return 0;
}


Measured memory_bytes: 8296