#include<iostream>
#include<algorithm>
#include<math.h>
#include<string>
#include<tuple>
#include<vector>
#include<cstdlib>
#include<cstdint>
#include<stdio.h>
#include<cmath>
#include<limits>
#include<iomanip> 
#include<ctime>
#include<climits>
#include<random>
#include<queue>
#include<map>


using namespace std;

template <class T> using V = vector<T>;

template<class T> inline bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmax(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

const long long INF = 1LL << 60;
const double pi=acos(-1);

using ll = long long;
using vll = V<ll>;
using vpll =V<pair<ll,ll>>;
using graph = V<V<int>>;



#define FOR(i,a,b) for(ll i=(a);i<(b);i++)
#define bgn begin()
#define en end()
#define SORT(a) sort((a).bgn,(a).en)
#define REV(a) reverse((a).bgn,(a).en)
#define fi first
#define se second
#define gcd(a,b) __gcd(a,b)
#define ALL(a)  (a).begin(),(a).end()



const int MAX = 510000;
// change
const int MOD = 1000000007;
 
long long fac[MAX], finv[MAX], inv[MAX];
 
void Comuse() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}


#define comuse Comuse()

ll combi(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}

ll perm(int n,int k){
    if(n < k) return 0;
    if(n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] % MOD) % MOD;
}

ll modpow(ll a,ll n,ll mod){
  ll ans=1;
  while(n>0){
    if(n&1){
      ans=ans*a%mod;
    }

    a=a*a%mod;
    /*
    n>>=1;
    */
   n/=2;
  }

  return ans;
}

ll modinv(ll a, ll mod) {
    return modpow(a, mod - 2, mod);
}

ll modcombi(int n,int k,int mod){
  ll ans=1;
  for(ll i=n;i>n-k;i--){
    ans*=i;
    ans%=mod;
  }
  for(ll i=1;i<=k;i++){
    ans*=modinv(i,mod);
    ans%=mod;
  }

  return ans;
}


ll lcm(ll a,ll b){
  ll n;
  n=a/gcd(a,b)*b;
  return n;
}



vll div(ll n){
  vll ret;
  for(ll i=1;i*i<=n;i++){
    if(n%i==0){
      ret.push_back(i);
      if(i*i!=n){
        ret.push_back(n/i);
      }
    }
  }
  SORT(ret);
  return (ret);
}

vector<bool> isprime(MAX+100,true);

void primeuse(){
  isprime[0]=false;
  isprime[1]=false;
  for(int i=2;i<MAX+50;i++){
    int up=sqrt(i)+1;
    for(int j=2;j<up;j++){
      if(i%j==0){
        isprime[i]=false;
      }
    }
  }
}

void bf(ll n,string s){
  for(ll i=0;i<n;i++){
    cout<<s;
  }
  cout<<"\n";

}


void Solve();


const int MAX_N = 131072;
//segment tree 
int NN;
int seg[MAX_N*2-1];
void seguse(){
  for(int i=0;i<2*NN-1;i++){
    seg[i]=INT_MAX;
  }
}




signed main(){
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout<<setprecision(20)<<fixed;
  Solve();
}



/****************************************\
| Thank you for viewing my code:)        |
| Written by RedSpica a.k.a. RanseMirage |
| Twitter:@asakaakasaka                  | 
\****************************************/
//segtreeの葉の先頭の添え字はN-1
void Solve(){
  int n;
    cin>>n;
  string s;
    cin>>s;
  
  int count=0;
  for(int i=n-1;i>=0;i--){
    if(s[i]=='1'){
      count++;
    }
  }
  int prep=0;//count+1
  int prem=0;//count-1

  int now=1;
  for(int i=n-1;i>=0;i--){
    ll a=s[i]-'0';
    prep+=now*a;
    prep%=(count+1);
    now*=2;
    now%=(count+1);
  }
  now=1;
  if(count>1){
    for(int i=n-1;i>=0;i--){
      ll a=s[i]-'0';
      prem+=now*a;
      prem%=(count-1);
      now*=2;
      now%=(count-1);
    }
  }


  FOR(i,0,n){
    int x=0;
    int ans=1;
    if(s[i]=='0'){
      x=prep;
      x+=modpow(2,n-1-i,count+1);
      x%=(count+1);
    }

    else if(count==1 and s[i]=='1'){
      cout<<"0\n";
      continue;
    }

    else{
      x=prem;
      x-=modpow(2,n-1-i,count-1);
      x+=2*(count-1);
      x%=(count-1);
    }


    int past=x;
    int cnt=0;
    while(past!=0){
      cnt=0;
      x=past;
      while(x!=0){
        if(x%2==1){
          cnt++;
        }
        x/=2;
      }
      if(cnt==0){
        ans++;
        break;
      }
      past=past%cnt;
      ans++;
    }

    cout<<ans<<"\n";
  }
}

Measured memory_bytes: 3864