Submission #489395

#	Time	Username	Problem	Language	Result	Execution time	Memory
489395		SlavicG	Split the sequence (APIO14_sequence)	C++17	50 / 100	132 ms	8584 KiB

sequence

#include "bits/stdc++.h"
using namespace std;
 
#define ll long long
 
#define       forn(i,n)              for(int i=0;i<n;i++)
#define          all(v)              v.begin(), v.end()
#define         rall(v)              v.rbegin(),v.rend()
 
#define            pb                push_back
#define          sz(a)               (int)a.size()
 
const int N = 1e3 + 10, K = 205;
ll dp[N][K], par[N][K];
ll p[N];
 
ll calc(int l, int r){
    ll ret = p[r];
    if(l)ret -= p[l - 1];
    return ret;
}
void solve()
{ 
    forn(i, N)forn(j, K)dp[i][j] = -1e15, par[i][j] = -1;
    int n, k;
    cin >> n >> k;
    vector<ll> a(n);
    for(int i = 0;i < n; ++i){
        cin >> a[i];
        p[i] = a[i];
        if(i)p[i] += p[i - 1];
    }
    if(n == 1){
        cout << 0;
        return;
    }
    forn(i, n)dp[i][0] = 0;
    for(int i = 1; i < n; ++i){
        for(int j = 1; j <= k; ++j){
            dp[i][j] = 0;
            for(int l = 0;l < i; ++l){
                if(dp[i][j] <= dp[l][j - 1] + calc(l, i - 1) * calc(i, n - 1)){
                    par[i][j] = l;
                }
 
                dp[i][j] = max(dp[i][j], dp[l][j - 1] + calc(l, i - 1) * calc(i, n - 1));
            }
        }
    }
 
    ll mx = 0, idx = 0;
 
    for(int i = 0;i < n; ++i){
        if(dp[i][k] >= mx){
            mx = dp[i][k];
            idx = i;
        }
    }
    cout << mx << "\n";

    int x = idx;
    for(int i = 0;i < k; ++i){
        cout << x << " ";
        x = par[x][k - i];
    }
}   
 
int32_t main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    int t = 1;
    //cin >> t;
    while(t--)
    {
        solve();
    }
}

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