Cod sursa(job #1506551)

Utilizator greenadexIulia Harasim greenadex Data 20 octombrie 2015 19:44:07
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.07 kb
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define s second
#define pii pair<int, int>
#define mp make_pair

using namespace std;

const string name = "hamilton",
             in_file = name + ".in",
             out_file = name + ".out";

ifstream fin(in_file);
ofstream fout(out_file);

const int MAX = 18, inf = (1 << 30) - 1;

int n, m, gr[MAX][MAX], dp[MAX][(1 << MAX)];

int main() {
	fin >> n >> m;

	for (int a, b, c; m; m--) {
		fin >> a >> b >> c;
		gr[a][b] = c;
	}

	for (int mask = 0; mask < (1 << n); mask++)
		for (int i = 0; i < n; i++)
			dp[i][mask] = inf;
	dp[0][1] = 0;

	for (int mask = 1; mask < (1 << n); mask++)
		for (int i = 0; i < n; i++)
			if (mask & (1 << i))
				for (int j = 0; j < n; j++)
					if ((mask & (1 << j)) == 0 && gr[i][j]) {
						int new_mask = mask + (1 << j);
						dp[j][new_mask] = min(dp[j][new_mask], dp[i][mask] + gr[i][j]);
					}

	int sol = inf;
	for (int i = 0; i < n; i++)
		if (gr[i][0])
			sol = min(dp[i][(1 << n) - 1] + gr[i][0], sol);

	if (sol == inf)
		fout << "Nu exista solutie";
	else fout << sol;
	return 0;
}