Cod sursa(job #2240285)

Utilizator ardutgamerAndrei Bancila ardutgamer Data 12 septembrie 2018 21:59:16
Problema Ubuntzei Scor 20
Compilator cpp Status done
Runda Arhiva de probleme Marime 2.81 kb
#include <cstdio>
#include <queue>
#include <vector>
#include <algorithm>
#define NMAX 2005
#define INF 1000000005

using namespace std;

struct lista{
int v,cost; /// v este partea a doua a muchei si cost este costul acesteia
};

struct coada{
int nod,cost; /// nod este nodul curent, iar cost este costul de pana aici de la nodul original

    bool operator < (const coada &x) const{
        return cost > x.cost;
    }

};
int m , n , k;
int cost[NMAX][NMAX],dp[35000][20];
vector<lista>L[NMAX];
priority_queue<coada>pq;
int sol[NMAX];
int s[NMAX];

void dijkstra(int nod) /// bfs cu dijkstra
{
    for(int i = 1 ; i <= n ; i ++)
        sol[i] = INF;
    coada temp;
    temp.nod = nod;
    temp.cost = 0;
    pq.push(temp);
    while(!pq.empty())
    {
        temp = pq.top();
        int val = temp.nod;
        int cst = temp.cost;

        pq.pop();
        if(sol[val] != INF)
            continue;

        sol[temp.nod] = cst;

        for(vector<lista>::iterator it = L[val].begin() ; it != L[val].end() ; it++)
        {
            lista temp1 = *it; /// aici punem valoare din iterator in temp1
            coada aux;
            aux.nod = temp1.v;
            aux.cost = temp1.cost + cst;
            pq.push(aux);
        }
    }

    for(int i = 1 ; i <= n ; i++)
    {
        if(sol[i] == nod)
            continue;
        if(sol[i] == INF)
            cost[i][nod] = cost[nod][i] = 0;
        else
            cost[i][nod] = cost[nod][i] = sol[i];
    }
}

void dinamica()
{
    for(int i = 1 ; i <= k ; i++)
        dp[1<<(i-1)][i] = cost[0][s[i]];
    int ns = 1<<k;
    for(int masc = 0 ; masc < ns ; masc++)
    {
        for(int i = 1 ; i <= k ; i++)
            if(masc & (1<<(i-1)) && masc != (1<<(i-1)))
            {
                dp[masc][i] = INF;
                for(int j = 1 ; j <= k ; j++)
                {
                    if(i != j && masc & (1 << (j-1)))
                        dp[masc][i] = min(dp[masc][i],dp[masc-(1<<(i-1))][j]+cost[j][s[j]]);
                }

            }
    }
}

int main()
{
    freopen("ubuntzei.in","r",stdin);
    freopen("ubuntzei.out","w",stdout);
    int u , v, c;
    scanf("%d%d",&n,&m);
    scanf("%d",&k);
    for(int i = 1 ; i <= k ; i++)
        scanf("%d",&s[i]);
    s[0] = 1;
    s[++k] = n;
    for(int i = 1 ; i <= m ; i++)
    {
        scanf("%d%d%d",&u,&v,&c);
        lista temp;
        temp.cost = c;
        temp.v = v;
        L[u].push_back(temp);
        temp.cost = c;
        temp.v = u;
        L[v].push_back(temp);
    }
    for(int i = 0 ; i <= k ; i++)
        dijkstra(s[i]);
    dinamica();
    int ans = INF;
    int ns = 1<<k;
    for(int i = 1 ; i <= k ; i++)
        ans = min(ans,dp[ns-1][i]+cost[i][n]);
    printf("%d",ans);
    return 0;
}