#include <bits/stdc++.h>
using namespace std;
using LL = long long;
using LD = long double;
using PII = pair<int, int>;
using PLI = pair<long long, int>;
using PLL = pair<long long, long long>;
using TI = tuple<int, int, int>;
mt19937 mrand(random_device{}());
int rnd(int x) { return mrand() % x; }
template<class A, class B> ostream& operator <<(ostream& out, const pair<A, B> &p) {
    return out << "(" << p.first << ", " << p.second << ")";
}
template <typename T, size_t N>
ostream& operator <<(ostream& out, const array<T, N>& a) {
    out << "["; bool first = true;
    for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
    return out;
}
template <typename T>
ostream& operator <<(ostream& out, const vector<T>& a) {
    out << "["; bool first = true;
    for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
    return out;
}
template <typename T>
ostream& operator <<(ostream& out, const deque<T>& a) {
    out << "["; bool first = true;
    for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
    return out;
}
template <typename T, class Cmp>
ostream& operator <<(ostream& out, const set<T, Cmp>& a) {
    out << "{"; bool first = true;
    for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
    return out;
}
template <typename T>
ostream& operator <<(ostream& out, const unordered_set<T>& a) {
    out << "{"; bool first = true;
    for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
    return out;
}
template <typename U, typename T, class Cmp>
ostream& operator <<(ostream& out, const map<U, T, Cmp>& a) {
    out << "{"; bool first = true;
    for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}";
    return out;
}
template<class T> inline void YES(T condition) { 
    if(condition) cout << "YES" << '\n';
    else cout << "NO" << '\n';
}
template<class T> inline void Yes(T condition) {
    if(condition) cout << "Yes" << '\n';
    else cout << "No" << '\n';
}
template<class T> T gcd(T a, T b) {
    while (b) {
        T tmp = b;
        b = a % b;
        a = tmp;
    }
    return a;
}
template<class T> T lcm(T a, T b){
    return a / gcd(a, b) * b;
}

#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');
    cerr.write(names, comma - names) << ": " << arg1 << " |";
    __f(comma + 1, args...);
}

long long qpow(long long a, long long b, int MOD) {
    if (b == 0) return 1;
    long long res = 1;
    while (b) {
        if (b & 1) res = (res * a) % MOD;
        a = (a * a) % MOD;
        b >>= 1;
    }
    return res;
}

const int MOD = 1e9 + 7;
const int maxn = 2e6;
int fac[maxn + 5];
int invfac[maxn + 5];
void init() {
    fac[0] = 1;
    for (int i = 1; i <= maxn; i++) fac[i] = 1LL * fac[i - 1] * i % MOD;
    invfac[maxn] = (int)(qpow(fac[maxn], MOD - 2, MOD));
    for (int i = maxn - 1; i >= 0; i--) invfac[i] = 1LL * invfac[i + 1] * (i + 1) % MOD;
}
int C(int n, int k) {
    assert(0 <= k && n >= k);
    int tmp = (int)(1LL * invfac[k] * invfac[n - k] % MOD);
    return (int)(1LL * fac[n] * tmp % MOD);
}
    // vector<int> fa(n);
    // vector<int> sz(n, 1);
    // iota(fa.begin(), fa.end(), 0);
    // function<int(int)> Find = [&](int x) {
    //     return x == fa[x] ? x : fa[x] = Find(fa[x]);
    // };
    // function<bool(int, int)> Union = [&](int x, int y) {
    //     int px = Find(x), py = Find(y);
    //     if (px == py) return false;
    //     if (sz[px] > sz[py]) swap(px, py);
    //     fa[px] = py;
    //     sz[py] += sz[px];
    //     return true;
    // };

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(20);

    int n;
    string s;
    cin >> n >> s;
    vector<int> dp(n + 20);
    int cnt = 0;
    for (int i = 1; i <= n + 10; i++) {
        dp[i] = 1 + dp[i % (__builtin_popcount(i))];
        if (i <= n) cnt += s[i - 1] == '1';
    }
    if (cnt == 0) {
        for (int i = 0; i < n; i++) cout << 1 << '\n';
        return 0;
    }

    // trace(dp);

    LL small = 0, big = 0;
    for (int i = n - 1, j = 0; ~i; i--, j++) {
        if (s[i] == '1') {
            if (cnt > 1) small += qpow(2, j, cnt - 1);
            big += qpow(2, j, cnt + 1);
            if (cnt > 1) small %= (cnt - 1);
            big %= (cnt + 1);
        }
    }
    // trace(cnt, small, big);
    for (int i = 0, j = n - 1; i < n; i++, j--) {
        if (s[i] == '0') {
            // trace(big, 2, j, cnt + 1, qpow(2, j, cnt+ 1));
            LL now = big + qpow(2, j, cnt + 1);
            now %= (cnt + 1);
            cout << 1 + dp[now] << '\n';
            // trace(big, now);
        } else {
            if (cnt == 1) {
                cout << 0 << '\n';
                continue;
            }
            LL now = small - qpow(2, j, cnt - 1);
            now = (now + cnt - 1) % (cnt - 1);
            cout << 1 + dp[now] << '\n';
            // trace(small, now);
        }
    }

    return 0;
}


Measured memory_bytes: 4396