Cod sursa(job #2353861)

Utilizator alex2kamebossPuscasu Alexandru alex2kameboss Data 24 februarie 2019 17:44:05
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.98 kb
#include <iostream>
#include <cstdio>
#include <vector>

using namespace std;

int n,m,x,y;
int c[25][25];
vector <int> g[20];
int dp[25][(1<<20)+1];

int main()
{
    freopen("hamilton.in","r",stdin);
    freopen("hamilton.out","w",stdout);

    scanf("%d%d", &n,&m);

    for(int i=0;i<m;++i){
        scanf("%d%d", &x,&y);
        scanf("%d", &c[x][y]);
        g[y].push_back(x);
    }

    for(int i = 0;i < n; ++i){
        for(int j = 0; j < (1<<n); ++j)
            dp[i][j] = 0x3f3f3f3f;
    }
    dp[0][1] = 0;

    for(int j = 1; j < (1<<n); ++j){
        for(int i=0;i<n;++i){
            if(j&(1<<i))
                for(int k : g[i])
                    if(j&(1<<k))
                        dp[i][j] = min(dp[i][j], dp[k][j^(1<<i)]+c[k][i]);
        }
    }

    int maxi = 0x3f3f3f3f;
    for(int i=0;i<n;++i)
        if(c[i][0])
            maxi=min(dp[i][(1<<n)-1]+c[i][0],maxi);

    if(maxi!=0x3f3f3f3f)
        cout<<maxi;
    else
        cout<<"Nu exista solutie";

    return 0;
}