/*/ Author: kal013 /*/
// #pragma GCC optimize ("O3")
#include "bits/stdc++.h"
#include "ext/pb_ds/assoc_container.hpp"
#include "ext/pb_ds/tree_policy.hpp"
using namespace std;
using namespace __gnu_pbds;

template<class T> 
using ordered_set = tree<T, null_type,less<T>, rb_tree_tag,tree_order_statistics_node_update> ;

template<class key, class value, class cmp = std::less<key>>
using ordered_map = tree<key, value, cmp, rb_tree_tag, tree_order_statistics_node_update>;
// find_by_order(k)  returns iterator to kth element starting from 0;
// order_of_key(k) returns count of elements strictly smaller than k;

struct custom_hash { // Credits: https://codeforces.com/blog/entry/62393
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
    size_t operator()(pair<int64_t,int64_t> Y) const{
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(Y.first * 31 + Y.second + FIXED_RANDOM);
    }
};

template<class T> ostream& operator<<(ostream &os, vector<T> V) {
    os << "[ ";
    for(auto v : V) os << v << " ";
    return os << "]";
}
template<class T> ostream& operator<<(ostream &os, set<T> S){
    os << "{ ";
    for(auto s:S) os<<s<<" ";
    return os<<"}";
}
template<class T> ostream& operator<<(ostream &os, unordered_set<T> S){
    os << "{ ";
    for(auto s:S) os<<s<<" ";
    return os<<"}";
}
template<class T> ostream& operator << (ostream& os, multiset<T> S){
    os << "{ ";
    for(auto s:S) os<<s<<" ";
    return os<<"}";
}
template<class T> ostream& operator<<(ostream &os, ordered_set<T> S){
    os << "{ ";
    for(auto s:S) os<<s<<" ";
    return os<<"}";
}
template<class L, class R> ostream& operator<<(ostream &os, pair<L,R> P) {
    return os << "(" << P.first << "," << P.second << ")";
}
template<class L, class R> ostream& operator<<(ostream &os, map<L,R> M) {
    os << "{ ";
    for(auto m:M) os<<"("<<m.first<<":"<<m.second<<") ";
    return os<<"}";
}
template<class L, class R, class chash = std::hash<R>> ostream& operator<<(ostream &os, unordered_map<L,R,chash> M) {
    os << "{ ";
    for(auto m:M) os<<"("<<m.first<<":"<<m.second<<") ";
    return os<<"}";
}
template<class L, class R, class chash = std::hash<R> > ostream& operator<<(ostream &os, gp_hash_table<L,R,chash> M) {
    os << "{ ";
    for(auto m:M) os<<"("<<m.first<<":"<<m.second<<") ";
    return os<<"}";
}

#define TRACE
#ifdef TRACE
    #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
    template <typename Arg1>
    void __f(const char* name, Arg1&& arg1){
        cerr << name << " : " << arg1 << endl;
    }
    template <typename Arg1, typename... Args>
    void __f(const char* names, Arg1&& arg1, Args&&... args){
        const char* comma = strchr(names + 1, ',');
        cerr.write(names, comma - names) << " : " << arg1<<" | ";
        __f(comma+1, args...);
    }
#else
    #define trace(...) 1
#endif

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

inline int64_t random_long(long long l,long long r){
    uniform_int_distribution<int64_t> generator(l,r);
    return generator(rng);
}
inline int64_t random_long(){
    uniform_int_distribution<int64_t> generator(LLONG_MIN,LLONG_MAX);
    return generator(rng);
}


/*/---------------------------Defines----------------------/*/
typedef vector<int> vi;
typedef pair<int,int> pii;

#define For(i,n) for(int i = 0; i < (int) n; ++i)
#define Rep(i,n) for(int i = 1; i <= (int) n; ++i)
#define ll long long
#define F first
#define S second
#define pb push_back
#define endl "\n"
#define all(v) (v).begin(),(v).end()
/*/-----------------------Modular Arithmetic---------------/*/

const int mod=1e9+7;

/*/-----------------------------Code begins----------------------------------/*/
const int N = 2e5 + 10;
int f[N];

void pre(){
	f[0] = 0;

	for(int i = 1; i < N; ++i){
		int z = __builtin_popcount(i);
		f[i] = f[i%z] + 1;
	}
}
void solve(){
	int n;
	string s;
	cin >> n >> s;
	reverse(all(s));
	vector<int> val;
	int cnt = 0;
	for(auto e: s){
		cnt += (e == '1') ? 1 : 0;
	}

	if (cnt == 0){
		for(int i = 1; i <= n; ++i){
			cout << 1 << endl;
		}
		return;
	}

	int remainder = 0, mul = 1;
	vector<int> ans(n,-1);

	for(int i = 0; i < n; ++i){
		if (s[i] == '1'){
			remainder = (remainder + mul)%(cnt + 1);
		}
		mul = (mul + mul) % (cnt + 1);
	}
	mul = 1;
	for(int i = 0 ; i < n; ++i){
		if (s[i] == '0'){
			int z = (remainder + mul)%(cnt + 1);
			ans[i] = f[z] + 1;
		}
		mul = (mul + mul) % (cnt + 1);
	}
	mul = 1; remainder = 0;
	if (cnt == 1){
		for(int i = 0; i < n; ++i){
			if (s[i] == '1') ans[i] = 0;
		}

	}
	else{
		for(int i = 0; i < n; ++i){
			if (s[i] == '1'){
				remainder = (remainder + mul)%(cnt - 1);
			}
			mul = (mul + mul) % (cnt - 1);
		}
		mul = 1;
		for(int i = 0 ; i < n; ++i){
			if (s[i] == '1'){
				int z = (remainder - mul)%(cnt - 1);
				if (z < 0) z += (cnt - 1);
				ans[i] = f[z] + 1;
			}
			mul = (mul + mul) % (cnt - 1);
		}	
	}
	reverse(all(ans));

	for(int i = 0; i < n; ++i){
		cout << ans[i] << endl;
	}
}
int main(){
    // Use "set_name".max_load_factor(0.25);"set_name".reserve(512); with unordered set
    // Or use gp_hash_table<X,null_type>
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    cout<<fixed<<setprecision(25);
    cerr<<fixed<<setprecision(10);
    auto start = std::chrono::high_resolution_clock::now();
    pre();
    int t=1;
    // cin>>t;
    while(t--) {
        solve();
    }
    auto stop = std::chrono::high_resolution_clock::now(); 
    auto duration = std::chrono::duration_cast<std::chrono::nanoseconds>(stop - start); 
    
    // cerr << "Time taken : " << ((long double)duration.count())/((long double) 1e9) <<"s "<< endl;     
}

Measured memory_bytes: 5180