#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
 
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
 
#define start_routine() int begtime = clock();
#define end_routine() int endtime = clock(); cerr << endl << "Time elapsed: " << (endtime - begtime)*1000/CLOCKS_PER_SEC << " ms"; return 0
#define speed() cin.tie(0), cout.tie(0), ios_base::sync_with_stdio(false)
// #define exit(a, b) return cout << a, b;
 
// debugger
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#define debug(stuff) cout << #stuff << ": " << stuff <<endl
#define debugc(stuff) cout << #stuff << ": "; for(auto x: stuff) cout << x << " "; cout << endl;
// 
 
#define loop(i,a,b) for(ll i=a;i<b;i++)
#define all(v) v.begin(), v.end() 
 
#define print(stuff) cout << stuff << endl
#define printc(stuff) for(auto x: stuff) cout << x << " "; cout << endl;
#define printPrec(stuff) cout << fixed << setprecision(15) << stuff << endl;
#define len length
#define ret0 return 0
#define ret return 
 
 
#define ll long long
#define ld long double
#define fi first
#define endl '\n'
#define se second
#define pb push_back
#define mp make_pair
#define lb lower_bound
#define ub upper_bound
#define fill(ar, x) memset(ar, x, sizeof ar)
 
#define vl vector<ll> 
#define sl set<ll>
#define pll pair<ll, ll>
#define mll map<ll, ll> 
#define pq priority_queue<ll>
 
// typedef tree<ll,null_type,less<ll>,rb_tree_tag,
// tree_order_statistics_node_update> indexed_set;
 
#define inf (long long int) 1e18
#define eps 0.000001
#define mod 1000000007
#define mod1 998244353
#define MAXN (ll)2e5+5
#define N (1ll<<10)

ll modexp(ll a, ll b, ll m){
    if (b==0)
        return 1;
    ll temp = modexp(a,b/2,m);
    temp = (temp*temp)%m;
    if (b&1)
        return (temp*(a%m))%m; // if b is odd a^b = a^(b/2)*a^(b/2)*a
    return temp;
}

void solve(){
    ll n;
    cin>>n;
    string s; cin>>s;

    ll dp[MAXN];
    dp[0] = 0;
    for(ll i = 1; i < MAXN; i++){
        ll te = i;
        while(te != 0){
            ll x = __builtin_popcount(te);
            te = te%x;
            dp[i]++;
        }
    }

    ll ones = 0;
    loop(i,0,n) {
        if(s[i] == '1') ones++;
    }

    ll less = 0, greater = 0;

    if(ones > 1){
        for(ll i = 0; i < n; i++){
            if(s[i] == '1'){
                less = (less + modexp(2, n-1-i, ones-1))%(ones-1);
            }
        }
    }
    
    for(ll i = 0; i < n; i++){
        if(s[i] == '1'){
            greater = (greater + modexp(2, n-1-i, ones+1))%(ones+1);
        }
    }

    for(ll i=0; i < n; i++){
        if(s[i] == '0'){
            ll val = (greater + modexp(2, n-1-i, ones+1))%(ones+1);
            print(1 + dp[val]);
        }
        else {
            if(ones <= 1){
                print(0);
            }
            else {
                ll val = (less - modexp(2, n-1-i, ones-1))%(ones-1);
                while(val < 0) val += (ones-1);
                print(1 + dp[val]);
            }
        }
    }
}
 
int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    #ifndef ONLINE_JUDGE
        start_routine();
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #endif
 
    ll t = 1;
    // cin>>t;
    while(t--){
        solve();
    }
        
    #ifndef ONLINE_JUDGE
        end_routine();
    #endif
}


Measured memory_bytes: 5292