Submission #498461

#	Time	Username	Problem	Language	Result	Execution time	Memory
498461		Nalrimet	Split the sequence (APIO14_sequence)	C++17	50 / 100	2080 ms	131076 KiB

sequence

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

//#define int long long
#define ll long long
#define ld long double
#define pb push_back
#define S second
#define F first

//const int inf = 1e18;
const int N = 100005;
const ll inf = 1e18;

int n, y, k, par[N][205], k1, ind;
ll a[N], b[N], pref[N], suma, dp[N][205];
bool cut[N][205], used[N];
vector<int> ans;

ll f(int i, int j, int m){
    if(dp[m][j - 1] == -inf) return -inf;
//    cout << i << ' ' << j << ' ' << m << '\n';
//    cout << dp[m][j - 1] << ' ' << (pref[i] - pref[m]) << ' ' << (pref[n] - pref[i]) << '\n';
    return dp[m][j - 1] + (pref[i] - pref[m]) * (pref[n] - pref[i]);
}

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

    cin >> n >> k;
    k1 = k;
    k++;
    dp[0][k] = -1;

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

    for(int i = 0; i <= n; ++i){
        for(int j = 2; j <= k; ++j){
            dp[i][j] = -inf;
        }
    }
    for(int i = 1; i <= n; ++i){
        for(int j = 2; j <= min(i + 1, k); ++j){
//            cout << "_____________\n\n";
            for(int l = 0; l < i; ++l){
                if(f(i, j, l) > dp[i][j]){
                    dp[i][j] = max(dp[i][j], f(i, j, l));
                    par[i][j] = l;
                }
            }
//            cout << i << ' ' << j << ' ' << dp[i][j] << '\n';
        }
        if(dp[i][k] > dp[ind][k]){
            ind = i;
        }
    }
    cout << dp[ind][k] << '\n';

//    while(dp[ind - 1][k] == dp[ind][k]) ind--;
//    cout << ind << '\n';

    while(ind != 0){
        ans.pb(ind);
        ind = par[ind][k];
        k--;
    }

    reverse(ans.begin(), ans.end());

    for(auto to : ans){
        cout << to << ' ';
    }
}

Compilation message (stderr)

sequence.cpp:27:2: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   27 |  main(){
      |  ^~~~

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