Submission #240612

#TimeUsernameProblemLanguageResultExecution timeMemory
240612GREGOIRELCBuilding 4 (JOI20_building4)C++14
11 / 100
30 ms16256 KiB
#include <iostream>
#include <vector>

using namespace std;

const int T_MAX = 2001;

int nbBatiment;
int luxury[2 * T_MAX][2];
bool dp[2 * T_MAX][T_MAX][2];

int main()
{
	ios::sync_with_stdio(false);

	cin >> nbBatiment;
	for(int iBat = 1; iBat <= 2 * nbBatiment; iBat++)
	{
		cin >> luxury[iBat][0];
	}
	for(int iBat = 1; iBat <= 2 * nbBatiment; iBat++)
	{
		cin >> luxury[iBat][1];
	}
	dp[0][0][0] = true;
	dp[0][0][1] = true;
	for(int iBat = 0; iBat < 2 * nbBatiment; iBat++)
	{
		for(int nbAVu = 0; nbAVu <= nbBatiment; nbAVu++)
		{
			for(int curPos = 0; curPos < 2; curPos++)
			{
				if(dp[iBat][nbAVu][curPos])
				{
					if(luxury[iBat + 1][curPos] >= luxury[iBat][curPos])
					{
						dp[iBat + 1][nbAVu + (curPos + 1) % 2][curPos] = true;
					}
					if(luxury[iBat + 1][(curPos + 1) % 2] >= luxury[iBat][curPos])
					{
						dp[iBat + 1][nbAVu + curPos][(curPos + 1) % 2] = true;
					}
				}
			}
		}
	}
	//cout << dp[1][1][0] << endl;
	if(!dp[2 * nbBatiment][nbBatiment][0] && !dp[2 * nbBatiment][nbBatiment][1])
	{
		cout << -1 << endl;
		return 0;
	}
	int iBat = 2 * nbBatiment, nbAVu = nbBatiment, curPos = 0;
	if(dp[2 * nbBatiment][nbBatiment][1])
	{
		curPos = 1;
	}
	vector<char> reponse;
	while(iBat > 0)
	{
		reponse.push_back(char(int('A') + curPos));
		//cout << iBat << " " << nbAVu << " " << curPos << endl;
		if(luxury[iBat - 1][curPos] <= luxury[iBat][curPos] && dp[iBat - 1][nbAVu - (curPos + 1) % 2][curPos])
		{
			iBat--;
			nbAVu -= (curPos + 1) % 2;
		}
		else
		{
			iBat--;
			nbAVu -= (curPos + 1) % 2;
			curPos++;
			curPos %= 2;
		}
	}
	for(int i = reponse.size() - 1; i > -1; i--)
	{
		cout << reponse[i];
	}
	cout << endl;
}
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