#include "bits/stdc++.h"
using namespace std;
const auto start_time = std::chrono::high_resolution_clock::now();
void timecalculater(){
    #ifndef ONLINE_JUDGE
    auto end_time = std::chrono::high_resolution_clock::now();
    std::chrono::duration<double> diff = end_time-start_time;
    cerr<<"Time Taken : "<<diff.count()<<"\n";
    #endif
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void __print(int x) {cout << x;}
void __print(long x) {cout << x;}
void __print(long long x) {cout << x;}
void __print(unsigned x) {cout << x;}
void __print(unsigned long x) {cout << x;}
void __print(unsigned long long x) {cout << x;}
void __print(float x) {cout << x;}
void __print(double x) {cout << x;}
void __print(long double x) {cout << x;}
void __print(char x) {cout << '\'' << x << '\'';}
void __print(const char *x) {cout << '\"' << x << '\"';}
void __print(const string &x) {cout << '\"' << x << '\"';}
void __print(bool x) {cout << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cout << '{'; __print(x.first); cout << ','; __print(x.second); cout << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cout << '{'; for (auto &i: x) cout << (f++ ? "," : ""), __print(i); cout << "}";}
void _print() {cout << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cout << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define dbg(x...) cout << "[" << #x << "] = ["; _print(x)
#else
#define dbg(x...)
#endif
#define fastio  cin.sync_with_stdio(0); cin.tie(0);cin.exceptions(cin.failbit);
#define rep(i, n) for(int i = 0; i < (n); ++i)
#define repA(i, a, n) for(int  i = a; i <= (n); ++i)
#define all(x) x.begin(), x.end()
#define sz(x) (int) (x).size()
#define fill(a,v) memset(a, v, sizeof(a))
#define fst first
#define snd second
#define mp make_pair
#define pb push_back
#define endl '\n'
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef vector<int> vi;
typedef vector<double> vd;
typedef vector<long long int> vll;
typedef vector<pii> vpii;
ll p=1e9+7;
const int N=2e5+5;
ll power(ll a,ll x,ll p){
    ll r=1;
    while(x!=0){
        if(x%2==1){
            r=r*a;r%=p;
        }
        a=a*a;a%=p;
        x=x/2;
    }
    return r;
}
int main() {
   
    fastio;
    int T=1;
    // cin>>T;
    while(T--){
        ll n;cin>>n;
        string s;cin>>s;
        ll ans[n]={0};
        ll u=0;
        rep(i,n){
            if(s[i]=='1')u++;
        }
        ll modm=0,modp=0;
        rep(i,n){
            if(s[i]=='1'&&u>=2){
                modm+=power(2,n-1-i,u-1);
                modm%=(u-1);
            }
            if(s[i]=='1'){
                modp+=power(2,n-1-i,u+1); 
                modp%=(u+1);
            }  
        }
        rep(i,n){
            if(s[i]=='1'){
                if(u==1){
                    ans[i]=0;continue;
                }
                ll val=0;
                val=modm;
                ll temp=power(2,n-1-i,u-1);
                val=(val-temp+(u-1))%(u-1);
                ll r=1;
                while(val){
                    val=val%(__builtin_popcountll(val));
                    r++;
                }
                ans[i]=r;
            }
            else{
                ll val=0;
                val=modp;
                ll temp=power(2,n-1-i,u+1);
                val=(val+temp)%(u+1);
                ll r=1;
                while(val){
                    val=val%(__builtin_popcountll(val));
                    r++;
                }
                ans[i]=r;
            }
        }
        rep(i,n){
            cout<<ans[i]<<endl;
        }
    }   
    timecalculater();
    return 0;   
} 

Measured memory_bytes: 5296