Submission #383516

#	Time	Username	Problem	Language	Result	Execution time	Memory
383516		danielcm585	Split the sequence (APIO14_sequence)	C++14	50 / 100	2088 ms	84020 KiB

sequence

#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second

typedef long long ll;
typedef pair<int,int> ii;

const int N = 1e5;
const int K = 2e2;
const ll INF = 1e18;
int n, k;
ll a[N+2], sum[N+2];
ll dp[N+2][K+2], pre[N+2][K+2];

ll cost(int l, int r) {
    return (sum[r]-sum[l-1])*sum[l-1];
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n >> k; k++;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        sum[i] = sum[i-1]+a[i];
    }
    for (int i = 2; i <= k; i++) {
        for (int j = 1; j <= n; j++) {
            dp[j][i] = -INF;
            for (int l = j-1; l >= 0; l--) {
                if (dp[j][i] < dp[l][i-1]+cost(l+1,j)) {
                    dp[j][i] = dp[l][i-1]+cost(l+1,j);
                    pre[j][i] = l;
                }
            }
        }
    }
    // for (int i = 1; i <= n; i++) {
    //     for (int j = 0; j < k; j++) {
    //         ch[j].insert(sum[i-1],dp[i-1][j]-sum[i-1]*sum[i-1],i-1);
    //     }
    //     for (int j = 1; j <= k; j++) {
    //         ii x = ch[j-1].query(sum[i]);
    //         dp[i][j] = x.fi;
    //         pre[i][j] = x.se;
    //     }
    // }
    vector<int> res;
    for (int i = n, j = k; i >= 1; i = pre[i][j], j--) {
        res.push_back(pre[i][j]);
    }
    sort(res.begin(),res.end());
    cout << dp[n][k] << '\n';
    for (int i = 1; i < res.size(); i++) {
        if (i != 1) cout << ' ';
        cout << res[i];
    }
    cout << '\n';
    return 0;
}

/*
7 3
4 1 3 4 0 2 3
*/

Compilation message (stderr)

sequence.cpp: In function 'int main()':
sequence.cpp:55:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |     for (int i = 1; i < res.size(); i++) {
      |                     ~~^~~~~~~~~~~~

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