#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;
#define MV 200001
#define LMV 21
#define ff first
#define ss second
#define pb push_back
#define eb emplace_back
#define emp emplace
#define mp make_pair
#define ins insert
#define sz(x) (int)x.size()
#define whoami(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); whi(_it, args); }

void whi(istream_iterator<string> it) { cerr<<"\n"; }

template<typename T, typename... Args>
void whi(istream_iterator<string> it, T a, Args... args) { cerr<<*it<<" "<<a<<" "; whi(++it, args...); }

void FLASH() {ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);}
void SETF() {cout.ios_base::setf(ios_base::fixed); cerr.ios_base::setf(ios_base::fixed);}
void UNSETF() {cout.ios_base::unsetf(ios_base::fixed); cerr.ios_base::unsetf(ios_base::fixed);}

typedef long long ll;
typedef long double ld;
typedef vector<int> VI;
typedef vector<ll> VL;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
typedef pair<PII, int> PPII;
typedef pair<PLL, ll> PPLL;
typedef map<int, int> MII;

const int MOD = 1000000007;
const ll INF = 4e18;

template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;

struct h_llint {
  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);
  }
};

struct h_pair{
  size_t operator()(const PLL&x)const{
    return hash<ll>()(((ll)x.ff)^(((ll)x.ss)<<32));
  }
};

typedef map<ll, ll> MLL;
typedef map<PII, int> MPII;
typedef map<PLL, ll> MPLL;
typedef set<int> SI;
typedef set<ll> SL;
//ordered_set = order_of_key(.)
//ordered_set = find_by_order(.)
typedef ordered_set<int> OSI;
typedef ordered_set<ll> OSL;
typedef ordered_multiset<int> MOSI;
typedef ordered_multiset<ll> MOSL;
typedef unordered_map<ll, int, h_llint> UMLI;
typedef unordered_map<ll, ll, h_llint> UMLL;
typedef unordered_map<PLL, int, h_pair> UMPI;
typedef unordered_map<PLL, ll, h_pair> UMPL;

int ar[MV];
ll arr[MV];

ll modexp(ll a, ll n, ll m)
{
	ll res = 1;
	while(n)
	{
		if(n & 1)
		res = ((res%m) * (a%m))%m;
		a = ((a%m) * (a%m))%m;
		n >>= 1;	
	}
	return res;
}

void solve(int T)
{
	int n;
	cin>>n;
	string s;
	cin>>s;
	int ppv = 0, tva = 0, tvb = 0;
	for(int i=0;i<n;i++)
	{
		if(s[i] == '1')
		ppv++;		
	}
	for(int i=0;i<n;i++)
	{
		if(s[i] == '1')
		{
			if(ppv <= n)
			tva = ((tva%(ppv+1)) + (modexp(2, n-1-i, ppv+1)%(ppv+1)))%(ppv+1);
			if(ppv > 1)
			tvb = ((tvb%(ppv-1)) + (modexp(2, n-1-i, ppv-1)%(ppv-1)))%(ppv-1);
		}	
	}
	for(int i=0;i<n;i++)
	{
		int yva = tva, yvb = tvb, op = 0;
		if(s[i] == '1')
		{	
			if(ppv > 1)
			{	
				yvb = ((yvb%(ppv-1)) - (modexp(2, n-1-i, ppv-1)%(ppv-1)) + (ppv-1))%(ppv-1);
				op = 1;
			}	
			while(yvb)
			{
				int pc = __builtin_popcount(yvb);
				yvb %= pc;
				op++;
			}
		}
		else
		{
			yva = ((yva%(ppv+1)) + (modexp(2, n-1-i, ppv+1)%(ppv+1)))%(ppv+1);
			op = 1;
			while(yva)
			{
				int pc = __builtin_popcount(yva);
				yva %= pc;
				op++;
			}
		}
		cout<<op<<"\n";	
	}	
	return;
}

int main(void)
{
	FLASH();
	//freopen("cowjog.in", "r", stdin);
	//freopen("cowjog.out", "w", stdout);
	int T;
	T = 1;

#ifndef ONLINE_JUDGE
	time_t time_t1, time_t2;
	time_t1 = clock();
#endif

	//cin>>T;
	while(T--)
	solve(T);

#ifndef ONLINE_JUDGE
	time_t2 = clock();
	SETF();
	cerr<<"Time taken: "<<setprecision(7)<<(time_t2 - time_t1)/(double)CLOCKS_PER_SEC<<"\n";
	UNSETF();
#endif

	return 0;
}

Measured memory_bytes: 3776