#include<bits/stdc++.h>
using namespace std;
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>
//
//    #pragma GCC optimize("unroll-loops")
//    #pragma GCC optimize("Ofast")
//    #pragma GCC optimize("-O3")
//    #pragma GCC optimize("no-stack-protector")
//    #pragma GCC optimize("fast-math")
//#define LOCAL
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
  enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifndef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (auto it = d.b; it != d.e; ++it)
	*this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define fi first
#define f first
#define se second
#define s second
#define vi_a vector<int>a;
#define p_b push_back
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ll long long
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define fast_io cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);
#define all(x) x.begin(),x.end()
#define getfiles    ifstream cin("input.txt");ofstream cout("output.txt");
#define pw(x) (1ll << x)
#define sz(x) (ll)x.size()
#define endl "\n"
#define rall(x) x.rbegin(),x.rend()
#define len(a) (ll)a.size()
#define rep(x,l,r) for(ll x=l;x<r;x++)

//using namespace __gnu_pbds;
ld eps = (ld)1 / 1e6;
const ld pi=3.14159265359;
ll inf = 1e18,mod1=1e9+7;
ll sqr(ll a) { return a * a; }
ll qb(ll a) { return a * a * a; }
ll gcd(ll a, ll b) { return !a ? b : gcd(b % a, a); }
ll binpow(ll a, ll b, ll mod) { return b ? (b % 2 ? (a * (sqr(binpow(a, b / 2, mod)) % mod)) % mod : sqr(binpow(a, b / 2, mod)) % mod) : 1; }
ll binmult(ll a, ll b, ll mod) { return b ? (b % 2 ? (2 * binmult(a, b / 2, mod) + a) % mod : (2 * binmult(a, b / 2, mod)) % mod) : 0; }
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
const ll R=1e4;
const ll tx[4]={0,0,-1,1};
const ll ty[4]={-1,1,0,0};
const char rev_to[4]={'E','W','N','S'};
const int N=1e5+1;
const int M=1e9+7;
//typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> st;
//int n,m,k;
//int a[N],b[N];
//int f[N],cnt[26],dp[N];
int ff(ll n){
    int ans=0;
    while(n){
        ans++;
        n%=__builtin_popcount(n);
    }
    return ans;
}
signed main()
{
    int n;
    cin>>n;
    ll ans1=0,ans2=0,ans3=0;
    string s;
    cin>>s;
    reverse(all(s));
    int f=0;
    for(int i=0;i<n;i++){
        if(s[i]=='1') f++;
    }
    for(int i=0;i<n;i++){
        if(s[i]=='1'){
            //ans1+=binpow(2,i,f);ans1%=f;
            if(f>1){ans2+=binpow(2,i,f-1);ans2%=(f-1);}
            ans3+=binpow(2,i,f+1);ans2%=(f+1);
        }
    }
   // vector<int>ans(n);
    for(int i=n-1;i>=0;i--){
        if(s[i]=='1'){
            if(f==1){
               cout<<0<<endl;
            }
            else{
                ll w=(ans2-binpow(2,i,f-1)+(f-1))%(f-1);
                cout<<ff(w)+1<<endl;
            }
        }
        else{
            ll w=(ans3+binpow(2,i,f+1))%(f+1);
        //    ans[i]=ff(w)+1;
            cout<<ff(w)+1<<endl;
        }
    }
   // reverse(all(ans));
  //  for(auto &z : ans) cout<<z<<endl;
    return 0;
}
/*
    4 4
    1 2 a
    3 2 a
    1 4 a
    3 4 b




*/


Measured memory_bytes: 3752