Cod sursa(job #2149798)

Utilizator preda.andreiPreda Andrei preda.andrei Data 2 martie 2018 23:34:44
Problema Ubuntzei Scor 20
Compilator cpp Status done
Runda Arhiva de probleme Marime 2.86 kb
#include <fstream>
#include <queue>
#include <vector>

using namespace std;

using Pair = pair<int, int>;
using Matrix = vector<vector<int>>;

using Graph = vector<vector<Pair>>;
using Heap = priority_queue<Pair, vector<Pair>, greater<Pair>>;

constexpr int kInf = (1 << 25);

vector<int> Dijkstra(const Graph &g, int start)
{
  vector<int> dist(g.size(), kInf);
  Heap heap;

  dist[start] = 0;
  heap.push({0, start});

  while (!heap.empty()) {
    auto distance = heap.top().first;
    auto node = heap.top().second;
    heap.pop();

    if (distance > dist[node]) {
      continue;
    }

    for (const auto &e : g[node]) {
      auto next = e.first;
      auto new_distance = dist[node] + e.second;

      if (new_distance < dist[next]) {
        dist[next] = new_distance;
        heap.push({dist[next], next});
      }
    }
  }
  return dist;
}

Matrix GetDistances(const Graph &g, const vector<int> &cities)
{
  Matrix dist(cities.size());
  for (size_t i = 0; i < cities.size(); ++i) {
    dist[i] = Dijkstra(g, cities[i]);
  }
  return dist;
}

int CalcDist(const vector<int> &cities, const Matrix &dist, vector<int> ind)
{
  auto res = 0;
  for (size_t i = 1; i < ind.size(); ++i) {
    res += dist[ind[i - 1]][cities[ind[i]]];
  }
  return res;
}

bool InVector(const vector<int> &vec, int size, int val)
{
  for (int i = 0; i < size; ++i) {
    if (vec[i] == val) {
      return true;
    }
  }
  return false;
}

inline int Bit(int num, int pos)
{
  return (num & (1 << pos)) > 0 ? 1 : 0;
}

int Back(const vector<int> &cities, const Matrix &dist)
{
  int n = cities.size() - 1;
  vector<int> cost((1 << n) + 1, kInf);

  if (n == 1) {
    return dist[0][cities.back()];
  }

  cost[0] = 0;
  cost[1] = 0;

  for (int i = 2; i < (1 << n); ++i) {
    int conf = i | 1;
    for (int j = 1; j < n; ++j) {
      if (Bit(conf, j) == 0) {
        continue;
      }

      for (int k = 0; k < n; ++k) {
        if (k == j || Bit(conf, k) == 0) {
          continue;
        }

        int prev = (conf & ~(1 << j)) & ~(1 << k);
        int c = cost[prev] + dist[k][cities[j]] + dist[j][cities.back()];
        cost[conf] = min(cost[conf], c);
      }
    }
  }
  return cost[(1 << n) - 1];
}

int Solve(const Graph &g, const vector<int> &cities)
{
  auto dist = GetDistances(g, cities);
  return Back(cities, dist);
}

int main()
{
  ifstream fin("ubuntzei.in");
  ofstream fout("ubuntzei.out");

  int nodes, edges;
  fin >> nodes >> edges;

  int ncities;
  fin >> ncities;

  vector<int> cities(ncities + 2);
  cities[0] = 0;
  cities[ncities + 1] = nodes - 1;

  for (int i = 1; i <= ncities; ++i) {
    fin >> cities[i];
    cities[i] -= 1;
  }

  Graph graph(nodes);
  for (int i = 0; i < edges; ++i) {
    int a, b, cost;
    fin >> a >> b >> cost;
    graph[a - 1].push_back({b - 1, cost});
    graph[b - 1].push_back({a - 1, cost});
  }

  auto res = Solve(graph, cities);
  fout << res << "\n";

  return 0;
}