#include <bits/stdc++.h>
using namespace std;
                     
#define int             long long
#define ld              long double
#define mp              make_pair
#define ff              first
#define ss              second
#define pb              push_back
#define fo(i,n)         for(i=0;i<n;i++)
#define fo1(i,n)        for(i=1;i<=n;i++)
#define FO(i,a,b)       for(i=a;i<=b;i++)
#define FOR(i,a,b)       for(i=a;i>=b;i--)
#define all(c)          c.begin(),c.end()
#define rall(c)         c.rbegin(),c.rend()
#define si              set<int>
#define vi              vector<int>
#define mii             map<int,int>
#define pii             pair<int,int>
#define vpii            vector<pii>
#define vvi             vector<vi>
#define usi             unordered_set<int>
#define umii            unordered_map<int,int>
#define pqmx            priority_queue<int>
#define pqmn            priority_queue<int,vi,greater<int> >
#define sp(x)           cout<<setprecision(x)<<fixed;
#define setbits(x)      __builtin_popcountll(x)
#define zerobits(x)     __builtin_ctzll(x)
#define in(a,n)         vi a(n);fo(i,n)cin>>a[i];
#define in1(a,n)        vi a(n+1);fo1(i,n)cin>>a[i];
#define w(t)            int t;cin>>t;while(t--)
#define sz(v)           (int)v.size()
#define gcd             __gcd
#define lcm(x,y)        x*(y/gcd(x,y))
#define endl            '\n'
#define PI              3.14159265358979323846
const int inf =         1e18;
const int mod =         1e9+7;
void __p(int x) {cout<<x;}
void __p(int32_t x){cout<<x;}
void __p(float x){cout<<x;}
void __p(double x){cout<<x;}
void __p(ld x) {cout<<x;}
void __p(char x){cout <<'\''<<x<<'\'';}
void __p(const char *x){cout <<'\"' <<x<<'\"';}
void __p(const string &x) {cout<<'\"'<<x<<'\"';}
void __p(bool x) {cout<<(x?"true":"false");}
void _p() {cout << "]\n";}
template<typename T,typename V>     void __p(const pair<T,V> &x) {cout<<'{';__p(x.first);cout<<',';__p(x.second);cout<<'}';}
template<typename T>                void __p(const T &x) {int f = 0; cout << '{'; for (auto &i: x) cout << (f++ ? "," : ""), __p(i); cout << "}";}
template <typename T,typename... V> void _p(T t, V... v) {__p(t);if(sizeof...(v))cout<<", ";_p(v...);}
int po(int x,int p,int mod) {int ans=1;x%=mod;while(p>0){if(p&1)ans=(ans*x)%mod;p=p>>1;x=(x*x)%mod;}return ans;}
// int inv(int x){return po(x,mod-2)%mod;}
#ifndef ONLINE_JUDGE
#define dbg(x...) cout<<"["<<#x<<"]=[";_p(x)
#else 
#define dbg(x...)
#endif
//=================================================================================




const int N=1e6+6;
int n,m,k,x,y,z,a,b,c,d,i,j,l,r,f,q;








void sol()
{   string s,x;
    cin>>n>>s;
    
    c=0;
    for(auto p:s)if(p=='1')c++;
    l=c-1,r=c+1;


    if(c==0)
    {
        fo(i,n)cout<<"1\n";return;
    }
    
    if(l){
    j=n-1;a=b=0;
    while (j>=0)
    {
        if(s[j]=='1')a=(a+po(2,n-1-j,l))%l;
        j--;
    }
    }
    j=n-1;
    while (j>=0)
    {
        if(s[j]=='1')b=(b+po(2,n-1-j,r))%r;
        j--;
    }

    fo(i,n)
    {   int ans=1;
        if(s[i]=='1')
        {   
            if(l==0)
            {
                cout<<"0\n";continue;
            }
            m=(a-po(2,n-i-1,l))%l;
            m=(m+l)%l;
            while (m)
            {
                m=m%setbits(m);
                ans++;
            }
            
        }
        else
        {
            m=(b+po(2,n-i-1,r))%r;
            while (m)
            {
                m=m%setbits(m);
                ans++;
            }
        }
        cout<<ans<<endl;
    }   
    
    
    
    //cout<<  <<endl;
}





int32_t main()
{   
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    //pre();
    //sp(10);
    // w(t)
    sol();
    return 0;
}

Measured memory_bytes: 3672