Cod sursa(job #3321107)

Utilizator pachy2007Pachitanu Matei pachy2007 Data 8 noiembrie 2025 11:08:51
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.04 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin("hamilton.in");
ofstream fout("hamilton.out");
const int INF=1e9;

int n,m,x,y,c,dp[1<<20][20],cost[20][20];

int main() {

    fin>>n>>m;
    for(int i=1;i<=m;i++)
    {
        fin>>x>>y>>c;
        cost[x][y]=c;
    }
    for(int i=0;i<(1<<n);i++ )
        for(int j=0;j<=n;j++)
        dp[i][j]=INF;
    dp[1][0]=0;

    for(int mask=1;mask<(1<<n);mask++)
    {
        for(int last=0;last<n;last++)
        {
            if(!(mask&(1<<last)) || dp[mask][last]==INF  )continue;

            for(int next=0;next<n;next++)
            {
                if(cost[last][next]!=0 && !(mask& (1<<next) )  )
                    dp[mask | (1<<next)][next]=min(dp[mask | (1<<next)][next] , dp[mask][last]+cost[last][next]  );
            }
        }
    }
    int sol=INF;
    for(int i=0;i<n;i++)
        if(cost[i][0])
        sol=min(sol , dp[(1<<n)-1][i]+cost[i][0]);

        if(sol==INF)fout<<"Nu exista solutie";
        else
    fout<<sol;

    return 0;
}