Submission #729424

#	Time	Username	Problem	Language	Result	Execution time	Memory
729424		danikoynov	Split the sequence (APIO14_sequence)	C++14	50 / 100	2087 ms	19540 KiB

sequence

#include<bits/stdc++.h>
#define endl '\n'

using namespace std;
typedef long long ll;

void speed()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
}

const int maxn = 1e4 + 10;
const ll inf = 1e18;

int n, k;
ll a[maxn], pref[maxn], dp[maxn][maxn], bef[maxn][maxn];
void input()
{
    cin >> n >> k;
    k ++;
    for (int i = 1; i <= n; i ++)
        cin >> a[i];
}

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

ll get_range(int l, int r)
{
    return pref[r] - pref[l - 1];
}

void calculate_states()
{
    for (int j = 0; j <= k; j ++)
        for (int i = 0; i <= n; i ++)
        dp[j][i] = -inf;
    dp[0][0] = 0;
    for (int j = 1; j <= k; j ++)
        for (int i = 1; i <= n; i ++)
    {
        for (int d = 1; d <= i; d ++)
        {
            ll sum = dp[j - 1][d - 1] + get_range(d, i) * get_range(i + 1, n);
            if (sum > dp[j][i])
            {
                dp[j][i] = sum;
                bef[j][i] = d - 1;
            }
        }
    }

    /**for (int j = 1; j <= k; j ++, cout << endl)
        for (int i = 1; i <= n; i ++)
        cout << dp[j][i] << " ";*/
}

void print_answer()
{
    cout << dp[k][n] << endl;
    int pos = n, part = k;
    vector < int > path;
    while(bef[part][pos] != 0)
    {
        pos = bef[part][pos];
        part --;
        path.push_back(pos);
    }

    reverse(path.begin(), path.end());
    for (int v : path)
        cout << v << " ";
    cout << endl;
}
void solve()
{
    input();
    calculate_prefix();
    calculate_states();
    print_answer();

}

int main()
{
    solve();
    return 0;
}
/**
7 3
4 1 3 4 0 2 3
*/

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