#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
#define pa pair<int, int>
#define pal pair<long long, long long>
#define pali pair<long long, int>
#define pad pair<double, double>
#define pb push_back
#define mp make_pair
#define COUT(v)                              \
    for (int64_t i = 0; i < (v).size(); ++i) \
    {                                        \
        cout << v.at(i) << endl;             \
    }
#define REP(i, n) for (int64_t i = 0; i < n; ++i)
#define FOR(i, r, n) for (int64_t i = (r); i < n; ++i)
#define VIN(v)                               \
    for (int64_t i = 0; i < (v).size(); ++i) \
    {                                        \
        cin >> (v).at(i);                    \
    }
 
typedef vector<bool> bvec;
typedef vector<int> ivec;
typedef vector<long long> lvec;
typedef vector<double> dvec;
typedef vector<pa> pavec;
typedef vector<pali> palivec;
typedef vector<pal> palvec;
 
typedef vector<vector<bool> > bmat;
typedef vector<vector<int> > imat;
typedef vector<vector<long long> > lmat;
 
typedef vector<string> svec;
typedef vector<vector<string> > smat;
const ll infll = (1LL << 60) - 1;
const int inf = (1 << 30) - 1;
const ll MOD = 1000000007;
 
ll gcd(ll x, ll y)
{
    ll r = x % y;
    if (r == 0)
        return y;
    else
        return gcd(y, r);
}
 
ll lcm(ll x, ll y)
{
    return x * y / gcd(x, y);
}
 
lvec mfactor(ll n)
{
    bvec ip(n, true);
    lvec mf(n, -1);
    ip[0] = false;
    ip[1] = false;
    mf[0] = 0;
    mf[1] = 1;
    REP(i, n)
    {
        if (ip[i])
        {
            mf[i] = i;
            for (ll j = i * i; j < n; j += i)
            {
                ip[j] = false;
                if (mf[j] == -1)
                    mf[j] = i;
            }
        }
    }
    return mf;
}
 
palivec get_prime(ll n, const lvec &mf)
{
    palivec plist;
    while (n != 1)
    {
        int cnt = 0;
        ll m = mf[n];
        while (mf[n] == m)
        {
            cnt++;
            n /= m;
        }
        plist.pb(pali(m, cnt));
    }
    return plist;
}
 
void COMinit(int m, lvec &fac, lvec &finv)
{
    lvec inv(m);
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < m; 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;
 
    }
}
 
ll pow_mod(ll a, ll n)
{
    ll x = 1;
    while (n > 0)
    {
        if (n & 1)
        {
            x = x * a % MOD;
        }
        a = a * a % MOD;
        n >>= 1;
    }
    return x;
}

ll pow_mod2(ll a, ll n)
{
    ll x = 1;
    while (n > 0)
    {
        if (n & 1)
        {
            x = x * a;
        }
        a = a * a;
        n >>= 1;
    }
    return x;
}
 
 
ll COM(int n, int k, const lvec &fac, const lvec &finv)
{
    if (n < k)
        return 0;
    if (n < 0 || k < 0)
        return 0;
    return (fac[n] * (finv[k] * finv[n - k] % MOD)) % MOD;
}
 
ll modinv(ll a, ll m)
{
    ll b = m, u = 1, v = 0;
    while (b)
    {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        u -= t * v;
        swap(u, v);
    }
    u %= m;
    if (u < 0)
        u += m;
    return u;
}

// union by size + path having
class UnionFind {
public:
    vector <ll> par; 
    vector <ll> siz; 

    // Constructor
    UnionFind(ll sz_): par(sz_), siz(sz_, 1LL) {
        for (ll i = 0; i < sz_; ++i) par[i] = i; 
    }
    void init(ll sz_) {
        par.resize(sz_);
        siz.assign(sz_, 1LL);  
        for (ll i = 0; i < sz_; ++i) par[i] = i; 
    }

    // Member Function
    // Find
    ll root(ll x) { 
        while (par[x] != x) {
            x = par[x] = par[par[x]]; 
        }
        return x;
    }

    // Union(Unite, Merge)
    bool merge(ll x, ll y) {
        x = root(x);
        y = root(y);
        if (x == y) return false;
        if (siz[x] < siz[y]) swap(x, y);
        siz[x] += siz[y];
        par[y] = x;
        return true;
    }

    bool issame(ll x, ll y) { 
        return root(x) == root(y);
    }

    ll size(ll x) { 
        return siz[root(x)];
    }
};



int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll n;
    string s;
    cin >> n >> s;
    ivec bin(n);
    lvec modp(n), modm(n);
    ll cnt = 0;
    for (ll i=0; i<n; i++){
        if(s[n-1-i] == '1'){
            cnt++;
            bin[i] = 1;
        }
        else bin[i] = 0;
    }
    if(cnt == 0){
        for (int i=0; i<n; i++){
            cout << 1 << endl;
        }
        return 0;
    }

    modp[0] = 1%(cnt+1);
    if(cnt > 1) modm[0] =  1%(cnt-1);
    
    for (ll i=1; i<n; i++){
        modp[i] = (modp[i-1]*2)%(cnt+1);        
        if(cnt > 1) modm[i] = (modm[i-1]*2)%(cnt-1);
    }

    ll mp=0, mm=0;
    for (int i=0; i<n; i++){
        mp += bin[i]*modp[i];
        if(cnt>1)mm += bin[i]*modm[i];
        mp%=(cnt+1);
        if(cnt>1) mm%=(cnt-1);
    }
    
    lvec xans(n), ans(n, 1);
    for (int i=0; i<n; i++){
        if(bin[i]){
            if(cnt==1){
                xans[i] = 0;
                ans[i] = 0;
            }
            else{
                xans[i] = mm + (cnt-1) - modm[i];
                xans[i]%=(cnt-1);
            }
        }
        else{
            xans[i]= mp + modp[i];
            xans[i]%=(cnt+1);
        }
    }

    for (int i=0; i<n; i++){
        while(xans[i]>0){
            ll cc=0, x = xans[i];
            while(x>0){
                if(x&1) ++cc;
                x >>= 1;
            }
            xans[i]%=cc;
            ans[i]++;
        }
    }

    for (int i=n-1; i>=0; i--){
        cout << ans[i] << endl;
    }


}

Measured memory_bytes: 10416