Cod sursa(job #2456487)

Utilizator vladth11Vlad Haivas vladth11 Data 14 septembrie 2019 14:35:30
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.29 kb
#include <bits/stdc++.h>
#define MOD 1000000007
using namespace std;
int dp[(1 << 19)][20];
int mat[20][20];
int main()
{
    ifstream cin("hamilton.in");
    ofstream cout("hamilton.out");
    int n,m,i,j,x,y,cost;
    cin >> n >> m;
    for(i = 1; i <= m; i++)
    {
        cin >> x >> y >> cost;
        mat[x][y] = cost;
    }
    int finalstate = (1<<n) - 1;
    for(int i = 0 ; i < n ; i++)
    {
        for(int j = 1 ; j <= finalstate; j++)
        {
            dp[j][i] = 2e9;
        }
    }

    int minim = 2e9;
    dp[1][0] = 0;
    for(i = 1; i <= finalstate; i++)
    {
        for(int last = 0; last < n; last++)
        {
            if((i & (1 << last))!=0)
            {

                for(j = 0; j < n; j++)
                {
                    if(((i & (1 << j)) == 0) && mat[last][j] > 0)
                    {
                        dp[i | (1 << j)][j] = min(dp[i | (1 << j)][j],dp[i][last] + mat[last][j]);

                    }

                }
            }
        }
    }
    for(i = 1; i < n; i++)
    {
        if(mat[i][0] > 0)
        {
            minim = min(minim,dp[finalstate][i] + mat[i][0]);
        }
    }
    if(minim != 2e9)
    cout << minim;
    else
        cout << "Nu exista solutie";
    return 0;
}