Submission #403884

#TimeUsernameProblemLanguageResultExecution timeMemory
403884opukittpceno_hhrSplit the sequence (APIO14_sequence)C++17
50 / 100
2076 ms5560 KiB
#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 = 203;

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++) {
        dp[i][0] = INF;
        for (int j = 1; j <= n; j++) {
            dp[i][j] = INF;
            for (int p = 0; p < j; p++) {
                if (dp[i][j] > dp[i - 1][p] + sc(p, j)) {
                    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;
    }
}
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