Submission #595901

#	Time	Username	Problem	Language	Result	Execution time	Memory
595901		shrimb	Split the sequence (APIO14_sequence)	C++17	50 / 100	1096 ms	131072 KiB

sequence

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

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<class x>
using ordered_set = tree<x, null_type,less<x>, rb_tree_tag,tree_order_statistics_node_update>;

#define int long long
#define endl '\n'
#define mod 1000000007
//\
#define mod 1686876991

const int maxn = 100002;
int n, k;

int a[maxn];
int p[maxn];

unordered_map<signed,int> dp[maxn];
unordered_map<signed,signed> opts[maxn];
vector<int> v;

#define cost(l,r) ((p[r] - (l ? p[l - 1] : 0)) * (p[n-1] - p[r]))

void rec (int l, int r, int lk, int rk, int j) {
    if (r < l) return;
    int m = (l + r) / 2;
    int opt = lk;
    dp[m][j] = -1;
    for (int K = lk ; K <= min(rk, m) ; K++) {
        if ((K ? dp[K - 1][j - 1] : 0) + cost(K, m) > dp[m][j]) {
            opt = K;
            dp[m][j] = (K ? dp[K - 1][j - 1] : 0) + cost(K, m);
        }
    }
    opts[m][j] = opt;
    rec(l, m - 1, lk, opt, j);
    rec(m + 1, r, opt, rk, j);
}

signed main () {
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> k;

    for (int i = 0 ; i < n ; i++) {
        cin >> a[i];
        p[i] = a[i];
        if (i) p[i] += p[i-1];
    }

    for (int i = 0 ; i < n ; i++) {
        dp[i][1] = cost(0, i);
    }
    for (int i = 2 ; i <= k + 1 ; i++) {
        rec(i - 1, n - (k - i) - 2, i - 1, n - (k - i) - 2, i);
    }
    cout << dp[n-1][k + 1] << endl;
    int i = k + 1;
    int j = n - 1;
    while (i > 1) {
        v.push_back(opts[j][i]);
        j = opts[j][i] - 1;
        i--;
    }
    reverse(v.begin(), v.end());
    for (int i : v) cout << i << " ";
}

Compilation message (stderr)

sequence.cpp:14:1: warning: multi-line comment [-Wcomment]
   14 | //\
      | ^

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