제출 #37808

#제출 시각아이디문제언어결과실행 시간메모리
37808MatheusLealVSplit the sequence (APIO14_sequence)C++14
50 / 100
2000 ms36724 KiB
#include <bits/stdc++.h>
#define int long long
#define N 10005
#define K 220
#define f first
#define s second
#define inf 2000000000
using namespace std;
typedef pair<int, int> pii;

int n, k, v[N], dp[N][K], sum[N], prox[N][K];

int solve(int ini, int k)
{
	if(k >= n - ini + 1) return 0;

	if(ini == n || k <= 0) return 0;

	if(dp[ini][k] != -1) return dp[ini][k];

	for(int mid = ini; mid < n; mid ++)
	{
		int custo = (sum[mid] - sum[ini - 1])*( sum[n] - sum[mid] );

		int filhos = solve(mid + 1, k - 1);

		if( filhos + custo > dp[ini][k] )
		{
			dp[ini][k] = filhos + custo;

			prox[ini][k] = mid;
		}
	}

	return dp[ini][k];
}

void print(int ini, int k)
{
	if(!prox[ini][k]) return;

	cout<<prox[ini][k]<<" ";

	print(prox[ini][k] + 1, k - 1);
}

int32_t main()
{
	ios::sync_with_stdio(false); cin.tie(0);

	cin>>n>>k;

	for(int i = 1; i <= n; i++) cin>>v[i], sum[i] = sum[i - 1] + v[i];

	memset(dp, -1, sizeof dp);

	for(int q = 0; q <= k ; q++)
	{
		for(int i = n; i >= 1; i--)
		{
			if(i == n || q >= n - i + 1 || q <= 0) dp[i][q] = 0;
			else
			{
				for(int j = i; j < n; j++)
				{
					int custo = (sum[j] - sum[i - 1])*( sum[n] - sum[j] );

					int filhos = dp[j + 1][q - 1];

					if( filhos + custo > dp[i][q] )
					{
						dp[i][q] = filhos + custo;

						prox[i][q] = j;
					}
				}
			}
		}
	}
	cout<<dp[1][k]<<"\n";

	print(1, k);

	cout<<"\n";
}
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