Submission #37778

#	Time	Username	Problem	Language	Result	Execution time	Memory
37778		MatheusLealV	Split the sequence (APIO14_sequence)	C++14	22 / 100	96 ms	5868 KiB

sequence

#include <bits/stdc++.h>
#define int long long
#define N 54
#define f first
#define s second
#define inf 2000000000
using namespace std;
typedef pair<int, int> pii;

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

pii prox[N][N][N];

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

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

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

	for(int mid = ini; mid < fim; mid ++)
	{
		for(int a = 0; a < k; a++)
		{
			int custo = (sum[mid] - sum[ini - 1])*( sum[fim] - sum[mid] );

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

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

				prox[ini][fim][k] = pii(mid, a);
			}

			//if(mid ==2) cout<<custo<<"\n";
		}
	}

	//cout<<ini<<" "<<fim<<" "<<k<<" "<<dp[ini][fim][k]<<"\n";

	return dp[ini][fim][k];
}

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

	cout<<prox[ini][fim][k].f<<" ";

	print(ini, prox[ini][fim][k].f, prox[ini][fim][k].s);

	print(prox[ini][fim][k].f + 1, fim, k - 1 - prox[ini][fim][k].s);
}

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);

	cout<<solve(1, n, k)<<"\n";

	print(1, n, k);

	cout<<"\n";
}

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