#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
template<class... T> void dbg(T... x) { char e{}; ((cerr << e << x, e = ' '), ...); }
template<class T> void org(T l, T r) { while (l != r) cerr << ' ' << *l++; cerr << '\n'; }
#define debug(x...) dbg(#x, '=', x, '\n')
#define olist(x...) dbg(#x, '='), org(x)
#else
#define debug(...) ((void)0)
#define olist(...) ((void)0)
#endif
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define ff first
#define ss second

using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;
using Pt = pair<i128, i128>;

template<class T>
inline constexpr T inf = numeric_limits<T>::max() / 2;
constexpr int mod = 998244353;


#include <bits/extc++.h>
using namespace __gnu_pbds;
template<class T>
using BST = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// __gnu_pbds::priority_queue<node, decltype(cmp), pairing_heap_tag> pq(cmp);

Pt operator+(Pt a, Pt b) { return {a.ff + b.ff, a.ss + b.ss}; }
Pt operator-(Pt a, Pt b) { return {a.ff - b.ff, a.ss - b.ss}; }
i128 operator^(Pt a, Pt b) { return a.ff * b.ss - a.ss * b.ff; }
i128 cro(Pt a, Pt b, Pt c) { return (b - a) ^ (c - a); }

template<class T> bool chmin(T &a, T b) { return (b < a and (a = b, true)); }
template<class T> bool chmax(T &a, T b) { return (a < b and (a = b, true)); }
template<class... T> int add(T... x) { int t{}; return (((t += x) %= mod), ...), t; }
template<class... T> int mul(T... x) { i64 t{1}; return (((t *= x) %= mod), ...), t; }

struct BIT {
    vector<int> v;
    int n;
    BIT(int _n) : n{_n}, v(_n, inf<int>) {}
    int lowbit(int x) { return x & -x; }
    void add(int p, int x) {
        for (int i = p + 1; i <= n; i += lowbit(i))
            chmin(v[i - 1], x);
    }
    void reset(int p) {
        for (int i = p + 1; i <= n; i += lowbit(i))
            v[i - 1] = inf<int>;
    }
    int qry(int p) {
        int r = inf<int>;
        for (int i = p + 1; i > 0; i -= lowbit(i))
            chmin(r, v[i - 1]);
        return r;
    }
};

void solve() {
    int n;
    cin >> n;

    vector<int> A(n);
    for (int &x : A) cin >> x;

    auto Swap = [&](int a, int b) {
        for (int &x : A) {
            if (x == a) x = b;
            else if (x == b) x = a;
        }
    };

    auto cal = [&]() -> int {
        vector f(3, vector<int>(n + 1));
        f[0][0] = f[1][0] = f[2][0] = n + 3;
        for (int i = 1; i <= n; i++) {
            for (int j : {0, 1, 2}) {
                f[j][i] = f[j][i - 1] + (A[i - 1] == 0) - (A[i - 1] == j + 1);
            }
        }

        vector<int> ord(n + 1);
        iota(all(ord), 0);
        sort(all(ord), [&](int a, int b) {
            if (f[0][a] != f[0][b]) return f[0][a] < f[0][b];
            return f[1][a] > f[1][b];
        });

        auto cmp = [&](int a, int b) {
            return f[1][a] < f[1][b];
        };

        BIT bit(n * 2 + 5);
        auto cdq = [&](auto self, auto l, auto r) -> int {
            if (r - l <= 1) return 0;
            auto mid = l + (r - l) / 2;
            int ans = max(self(self, l, mid), self(self, mid, r));
            vector<int> tmp;
            for (auto i = l, j = mid; j != r; j++) {
                while (i != mid and cmp(*i, *j)) {
                    bit.add(f[2][*i], *i);
                    tmp.push_back(*i);
                    i++;
                }
                chmax(ans, *j - bit.qry(f[2][*j] - 1));
                tmp.push_back(*j);
            }
            for (auto i = l; i < mid; i++) bit.reset(f[2][*i]);
            copy(mid - ((r - l) - (int)tmp.size()), mid, back_inserter(tmp));
            copy(all(tmp), l);
            // sort(l, r, cmp);
            return ans;
        };
        
        return cdq(cdq, all(ord));
    };

    for (int p : {0, 1, 2, 3}) {
        Swap(p, 0);
        cout << cal() << " \n"[p == 3];
        Swap(p, 0);
    }

    
} 

signed main() {
    cin.tie(0)->sync_with_stdio(false);
    cin.exceptions(cin.failbit);
    int T = 1;
    // cin >> T;
    while (T--) {
        solve();
    }
    
    return 0;
}