Cod sursa(job #2844001)

Utilizator betybety bety bety Data 3 februarie 2022 15:46:36
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.18 kb
///checking ...
#include <fstream>

#include <vector>



using namespace std;



const int MAXN = 20;

const int MAXX = 262150;

const int INF = 100000000;



int N, M, Sol;

int Cost[MAXN][MAXN];

int C[MAXX][MAXN];

vector <int> A[MAXN];



int main()

{

	ifstream fin("hamilton.in");

	ofstream fout("hamilton.out");



	fin >> N >> M;



	for (int i = 0; i < N; ++i)

		for (int j = 0; j < N; ++j) Cost[i][j] = INF;



	for (int i = 1; i <= M; ++i)

	{

		int x, y;



		fin >> x >> y;

		A[y].push_back(x);

		fin >> Cost[x][y];

	}



	for (int i = 0; i < 1 << N; ++i)

		for (int j = 0; j < N; ++j) C[i][j] = INF;



	C[1][0] = 0;



	for (int i = 0; i < 1 << N; ++i)

		for (int j = 0; j < N; ++j)

			if (i & (1<<j))

				for (size_t k = 0; k < A[j].size(); ++k)

					if (i & (1<<A[j][k]))

						C[i][j] = min(C[i][j], C[i ^ (1<<j)][ A[j][k] ] + Cost[ A[j][k] ][j]);



	Sol = INF;

	for (size_t i = 0; i < A[0].size(); ++i)

		Sol = min(Sol, C[(1<<N) - 1][ A[0][i] ] + Cost[ A[0][i] ][0]);



	if (Sol == INF) fout << "Nu exista solutie" << endl;

	else fout << Sol << endl;



	return 0;

}