#include <bits/stdc++.h>
#include <unistd.h>
#include <sys/time.h>
#include <stdlib.h>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> P;
typedef pair<P, ll> T;
typedef pair<long double , ll> Ps;
typedef pair<ll, bool> Pb;

const ll INF = 1e18;
const ll fact_table = 3200008;
long double Pi = 3.1415926535897932384626;

priority_queue <ll> pql;
priority_queue <P> pqp;
priority_queue <P> bag;
//big priority queue
priority_queue <ll, vector<ll>, greater<ll> > pqls;
priority_queue <P, vector<P>, greater<P> > pqps;
//small priority queue
//top pop

ll dx[8] = {1, 0, -1, 0, 1, 1, -1, -1};
ll dy[8] = {0, 1, 0, -1, 1, -1, -1, 1};
char dir[] = "DRUL";
//↓,→,↑,←

/*
#define endl "\n"
#ifdef ENJAPMA
#undef endl
#endif
*/
#define p(x) cout<<x<<endl;
#define el cout<<endl;
#define pe(x) cout<<x<<" ";
#define ps(x) cout<<fixed<<setprecision(25)<<x<<endl;
#define pu(x) cout<<(x);
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define CLEAR(a) a = decltype(a)();
#define pc(x) cout << x << ",";
#define rep(i, n) for (ll i = 0; i < (n); i ++)

// const ll mod = 998244353ll;
const ll mod = 1000000007ll;

ll mypow(ll a, ll b, ll mod) {ll x = 1; while (b) {while (!(b & 1)) {(a *= a) %= mod; b >>= 1;}(x *= a) %= mod; b--;} return x;}
void YES(bool cond) { if (cond) { p("YES");} else { p("NO");} return;}
void Yes(bool cond) { if (cond) { p("Yes");} else { p("No");} return;}
void line() { p("--------------------"); return;}

/*
ll fact[fact_table + 5], rfact[fact_table + 5];

void c3_init() {
    fact[0] = rfact[0] = 1;
    for (ll i = 1; i <= fact_table; i++) {
        fact[i] = (fact[i - 1] * i) % mod;
    }
    rfact[fact_table] = mypow(fact[fact_table], mod - 2, mod);
    for (ll i = fact_table; i >= 1; i--) {
        rfact[i - 1] = rfact[i] * i;
        rfact[i - 1] %= mod;
    }
    return;
}
ll c3(ll n, ll r) {
    return (((fact[n] * rfact[r]) % mod ) * rfact[n - r]) % mod;
}
*/
struct Timer {
    int64_t start;
    const int64_t CYCLES_PER_SEC = 2800000000;
    Timer() { reset(); }
    void reset() { start = getCycle(); }
    inline double get() { return (double)(getCycle() - start) / CYCLES_PER_SEC; }
    inline int64_t getCycle() {
        uint32_t low, high;
        __asm__ volatile ("rdtsc" : "=a" (low), "=d" (high));
        return ((int64_t)low) | ((int64_t)high << 32);
    }
};

Timer timer;

bool multicase = false;

ll n, m, k, w, num, a, b, c, d, e, h, q, ans, sum;

typedef vector<ll> vec;
typedef vector<vector<ll>> mat;

ll x[500005], y[500005], z[500005];
ll dp[500005];
bool used[500005];
string s;

ll value[2][500005];

ll modi(ll m) {
    if (used[m]) {
        return x[m];
    }
    used[m] = true;
    ll sum = 0;
    for(int i=n-1;i>=0;i--){
        sum *= 2;
        sum += (s[i] - '0');
        sum %= m;
    }
    x[m] = sum;
    return sum;
}

void calc(){
    dp[0] = 0;
    for(int i=1;i<=n;i++){
        ll pop = __builtin_popcountll(i);
        ll next = i % pop;
        dp[i] = dp[next] + 1;
    }
    return;
}

void solve() {
    cin >> n;
    cin >> s;
    calc();
    ll one = 0;
    for (int i = 0; i < n; i++) {
        if (s[i] == '1') one++;
    }
    ll m = one - 1;
    ll res = 1;
    ll sum1 = 0, sum2 = 0;
    if (one != 1) {
        for (int i=n-1;i>=0;i--){
            if (s[i] == '1') {
                sum1 += res;
                sum1 %= m;
            }
            value[0][i] = res;
            res *= 2;
            res %= m;
        }
    }
    m = one + 1;
    res = 1;
    for(int i=n-1;i>=0;i--){
        if (s[i] == '1'){
            sum2 += res;
            sum2 %= m;
        }
        value[1][i] = res;
        res *= 2;
        res %= m;
    }
    for(int i=0;i<n;i++){
        ll ans;
        if(s[i] == '1'){
            if (one == 1) {
                p(0);
                continue;
            }
            ans = sum1 - value[0][i] + (one - 1);
            ans %= (one - 1);
        }else{
            ans = sum2 + value[1][i];
            ans %= (one + 1);
        }
        ll res = dp[ans] + 1;
        p(res); 
    }

    return;
}

int main() {
    // init();
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    ll q, testcase = 1;
    if (multicase) {
        cin >> q;
    } else {
        q = 1;
    }
    while (q--) {
        // pu("Case ");pu("#");pu(testcase);pu(": ");
        solve();
        testcase++;
    }
    // solve();
    return 0;
}



Measured memory_bytes: 8468