Submission #160786

#TimeUsernameProblemLanguageResultExecution timeMemory
160786sofhiasouzaCover (COCI18_cover)C++14
96 / 120
12 ms632 KiB
#include <bits/stdc++.h>
#define int unsigned long long
#define pb push_back
#define F first
#define S second
using namespace std;
typedef pair < int, int > ii;

const int maxn = 5e3+10, inf = 3e18;

int n, dp[maxn];

map < int, int > mapa;

int32_t main()
{
	cin >> n;

	for(int i = 1 ; i <= n ; i++)
	{
		int32_t xk, yk;
		cin >> xk >> yk;
	
		int x = (int)abs(xk+xk);
		int y = (int)abs(yk+yk);

		if(!mapa.count(x)) mapa[x] = y;
		else mapa[x] = max(mapa[x], y);
	}

	vector < ii > aux;

	for(auto v : mapa)
	{
		if(!aux.size() or aux[aux.size()-1].S > v.S) aux.pb(v);
		else if(aux.size())
		{
			aux.pop_back();
			aux.pb(v);
		}
	}

	//reverse(aux.begin(), aux.end());

	/*for(int i = 0 ; i < aux.size() ; i++)
	{
		cout << aux[i].F << ' ' << aux[i].S << "\n";
	}*/

	dp[1] = 0;

	for(int i = 1 ; i < aux.size() ; i++)
	{
		dp[i+1] = inf;
	
		for(int j = 0 ; j < i ; j++)
		{
			dp[i+1] = min(dp[i+1], dp[j+1] + aux[j].S*aux[i-1].F);
		}
	}

	int resp = inf;
	for(int i = 0 ; i < aux.size() ; i++)
	{
		resp = min(resp, dp[i+1] + aux[i].S*aux[aux.size()-1].F);
	}

	cout << resp << "\n";	
}
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