Submission #941364

#	Time	Username	Problem	Language	Result	Execution time	Memory
941364		LOLOLO	Sequence (APIO23_sequence)	C++17	0 / 100	260 ms	45460 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
typedef  long long ll;
 
#define           f     first
#define           s     second
#define           pb    push_back
#define           ep    emplace
#define           eb    emplace_back
#define           lb    lower_bound
#define           ub    upper_bound
#define       all(x)    x.begin(), x.end()
#define      rall(x)    x.rbegin(), x.rend()
#define   uniquev(v)    sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define     mem(f,x)    memset(f , x , sizeof(f))
#define        sz(x)    (int)(x).size()
#define  __lcm(a, b)    (1ll * ((a) / __gcd((a), (b))) * (b))
#define          mxx    *max_element
#define          mnn    *min_element
#define    cntbit(x)    __builtin_popcountll(x)
#define       len(x)    (int)(x.length())
 
const int N = 5e5 + 100;
const int M = 2e6;

struct FT{
    vector <int> f;
    int N;
    FT(int n) {
        N = n;
        f.assign(n + 1, 0);
    }

    void upd(int i, int x) {
        for (; i <= N; i += i & (-i))
            f[i] += x;
    }

    int get(int i) {
        int s = 0;
        for (; i; i -= i & (-i))
            s += f[i];

        return s;
    }
};

struct fen{
    vector <int> f;
    int N;
    fen(int n) {
        N = n;
        f.assign(n + 1, 1e9);
    }

    void upd(int i, int x) {
        i++;
        for (; i; i -= i & (-i))
            f[i] = min(f[i], x);
    }

    int get(int i) {
        i++;
        int s = f[i];
        while (i <= N) {
            s = min(s, f[i]);
            i += i & (-i);
        }

        return s;
    }
};
 
vector <int> pos[N];
int a[N], n;

int get(int add) {
    fen F(n * 4 + 100);
    FT P(n + 4);
    for (int i = 1; i <= n; i++) {
        P.upd(i, add);
    }

    int ans = 0;

    for (int i = 1; i <= n; i++) {
        for (auto x : pos[i]) {
            P.upd(x, -add);
        }

        vector <pair <int, int>> st;
        for (int j = 0; j < sz(pos[i]); j++) {
            if (j && pos[i][j] - 1 != pos[i][j - 1])
                st.pb({j, P.get(pos[i][j] - 1)});

            st.pb({j + 1, P.get(pos[i][j])});

            if (j < sz(pos[i]) - 1 && pos[i][j] + 1 != pos[i][j + 1])
                st.pb({j + 1, P.get(pos[i][j] + 1)});                
        }

        st.pb({0, 0});
        st.pb({sz(pos[i]), P.get(n)});
        uniquev(st);

        sort(all(st), [&] (pair <int, int> &A, pair <int, int> &B) {return A.s < B.s;} );

        for (auto x : st) {
            ans = max(ans, x.f - F.get(x.s - x.f + n));
            F.upd(x.s - x.f + n, x.f);
        }

        for (auto x : pos[i]) {
            P.upd(x, -add);
        }
    }

    return ans;
}

int sequence(int N, vector <int> A) {
    n = N;
 
    for (int i = 1; i <= n; i++) {
        a[i] = A[i - 1];
        pos[a[i]].pb(i);
    }

    int ans = get(1);
    for (int i = 1; i <= n; i++)
        pos[i].clear();

    return ans;
}
 
/*int main() {
    cout << sequence(14, {2, 6, 2, 5, 3, 4, 2, 1, 4, 3, 5, 6, 3, 2}) << '\n';
    cout << sequence(9, {1, 1, 2, 3, 4, 3, 2, 1, 1}) << '\n';
    cout << sequence(14, {2, 6, 2, 5, 3, 4, 2, 1, 4, 3, 5, 6, 3, 2}) << '\n';
    return 0;
}*/

// s[i] - s[j] <= p[i] - p[j]
// s[i] - p[i] <= s[j] - p[j]
// s[i] - i >= s[j] - j

• Subtask 1: 0 / 11
• Subtask 2: 0 / 17
• Subtask 3: 0 / 7
• Subtask 4: 0 / 12
• Subtask 5: 0 / 13
• Subtask 6: 0 / 22
• Subtask 7: 0 / 18