Cod sursa(job #2850280)

Utilizator octavian2411Cretu Octavian octavian2411 Data 16 februarie 2022 16:03:07
Problema Ciclu hamiltonian de cost minim Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.3 kb
#include <iostream>
#include <fstream>
#include <vector>

using namespace std;

ifstream in("hamilton.in");
ofstream out("hamilton.out");

const int N=19;
const int INF=1e9;
int dp[1<<N][N], cost[N][N];
vector<int>graf[N];

int main()
{
    int n, m;
    in>>n>>m;
    for (int i=0;i<n;i++)
    {
        for (int j=0;j<n;j++)
        {
            cost[i][j]=INF;
        }
    }
    for(int i = 0 ; i < (1<<n) ; i+=2)
    {
        for(int j = 0 ; j < n ; j++)
        {
            dp[i][j] = INF;
        }
    }
    dp[1][0]=0;
    for (int i=0; i<m; i++)
    {
        int x, y, c;
        in>>x>>y>>c;
        cost[x][y]=c;
        graf[y].push_back(x);
    }
    for(int i=0;i<(1<<n);i++)
    {
        for(int j=0;j<n;j++)
        {
            if((1<<j)&i)
            {
                for(auto k:graf[j])
                {
                    if((1<<k)&i)
                    {
                        dp[i][j]=min(dp[i][j],dp[i^(1<<j)][k]+cost[k][j]);
                    }
                }
            }
        }
    }
    int sol=INF;
    for (auto i:graf[0])
    {
        sol=min(sol,dp[(1<<n)-1][i]+cost[i][0]);
    }
    if (sol==INF)
    {
        out<<"Nu exista solutie";
    }
    else
    {
        out<<sol;
    }
    return 0;
}