Submission #403868

#	Time	Username	Problem	Language	Result	Execution time	Memory
403868		opukittpceno_hhr	Split the sequence (APIO14_sequence)	C++17	11 / 100	62 ms	64396 KiB

sequence

#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdio>
#include <iomanip>
#include <fstream>
#include <cassert>
#include <cstring>
#include <unordered_set>
#include <unordered_map>
#include <numeric>
#include <ctime>
#include <bitset>
#include <complex>
#include <chrono>
#include <random>
#include <functional>

using namespace std;

#define int long long

const int INF = 1e18 + 239;
const int N = 1e4 + 7;
const int K = 201;

int dp[K][N];
int wr[K][N];

int a[N];
int ps[N];

int sc(int i, int j) {
    return (ps[j] - ps[i]) * (ps[j] - ps[i]);
}

vector<int> out;

void rec(int k, int n) {
    if (k == 0) return;
    rec(k - 1, wr[k][n]);
    out.push_back(n - wr[k][n]);
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int n, k;
    cin >> n >> k;
    k++;
    int s = 0;
    for (int i = 0; i < n; i++) {
        cin >> a[i];
        s += a[i] * a[i];
        ps[i + 1] = ps[i] + a[i];
    }
    fill(dp[0], dp[0] + N, INF);
    dp[0][0] = 0;
    for (int i = 1; i <= k; i++) {
        for (int j = 0; j <= n; j++) {
            int p = 0;
            if (j > 0) {
                p = wr[i][j - 1];
            }
            while (p + 1 <= j && dp[i - 1][p] + sc(p, j) >= dp[i - 1][p + 1] + sc(p + 1, j)) {
                p++;
            }
            dp[i][j] = dp[i - 1][p] + sc(p, j);
            wr[i][j] = p;
        }
    }
    cout << (ps[n] * ps[n] - dp[k][n]) / 2 << endl;
    rec(k, n);
    {
        int c = 0;
        for (int i = 0; i + 1 < k; i++) {
            c += out[i];
            cout << c << ' ';
        }
        cout << endl;
    }
}

• Subtask 1: 0 / 11
• Subtask 2: 11 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29