Cod sursa(job #1009799)

Utilizator timicsIoana Tamas timics Data 13 octombrie 2013 21:00:47
Problema Ciclu hamiltonian de cost minim Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.36 kb
#include<stdio.h>
#include<vector>
using namespace std;

const int inf = 1000000000;
int N,M,x,y,z,Sol,b[262150][22],c[22][22];
vector<int> a[22];

int best(int conf, int last)
{
    if(b[conf][last]>=0)
        return b[conf][last];

    b[conf][last]=inf;
    for(int i=0;i<a[last].size();++i)
        if(conf & (1<<a[last][i]))
        {
            if(a[last][i]==0 && conf!=(1<<last)+1)
                continue;
            if(b[conf][last] > best(conf^(1<<last),a[last][i])+c[a[last][i]][last])
                b[conf][last] = best(conf^(1<<last),a[last][i])+c[a[last][i]][last];
        }

    return b[conf][last];

}

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

    scanf("%d%d",&N,&M);

    for(int i=0;i<N;++i)
        for(int j=0;j<N;++j)
            c[i][j]=inf;

    for(int i=0;i<262150;++i)
        for(int j=0;j<20;++j)
            b[i][j]=-1;

    b[1][0]=0;

    Sol = inf;

    for(int i=1;i<=M;++i)
    {
        scanf("%d%d%d",&x,&y,&z);
        c[x][y]=z;
        a[y].push_back(x);
    }

    for(int i=0;i<a[0].size();++i)
    {
        if(c[a[0][i]][0] + best((1<<N)-1 , a[0][i]) < Sol)
            Sol = c[a[0][i]][0] + best((1<<N)-1,a[0][i]);
    }

    if(Sol==inf)
        printf("Nu exista solutie\n");

    else
        printf("%d\n",Sol);
}