#include <CGAL/boost/graph/alpha_expansion_graphcut.h>
#include <boost/graph/adjacency_list.hpp>

struct Vertex_property
{
  int label;
  std::vector<double> cost;
};

struct Edge_property
{
  double weight;
};

using Graph = boost::adjacency_list <boost::setS,
                                     boost::vecS,
                                     boost::undirectedS,
                                     Vertex_property,
                                     Edge_property>;
using GT = boost::graph_traits<Graph>;
using vertex_descriptor = GT::vertex_descriptor;
using edge_descriptor = GT::edge_descriptor;

int main()
{
  std::array<char, 3> labels = { 'X', ' ', 'O' };

  std::array<std::array<int, 6>, 5> input
    = { { { 0, 2, 0, 1, 1, 1 },
          { 0, 0, 1, 0, 1, 2 },
          { 2, 0, 1, 1, 2, 2 },
          { 0, 1, 1, 2, 2, 0 },
          { 1, 1, 2, 0, 2, 2 } } };

  std::array<std::array<vertex_descriptor, 6>, 5> vertices;

  // Init vertices from values
  Graph g;
  for (std::size_t i = 0; i < input.size(); ++ i)
    for (std::size_t j = 0; j < input[i].size(); ++ j)
    {
      vertices[i][j] = boost::add_vertex(g);
      g[vertices[i][j]].label = input[i][j];

      // Cost of assigning this vertex to any label is positive except
      // for current label which is 0 (favor init solution)
      g[vertices[i][j]].cost.resize(3, 1);
      g[vertices[i][j]].cost[std::size_t(input[i][j])] = 0;
    }

  // Display input values
  std::cerr << "Input:" << std::endl;
  for (std::size_t i = 0; i < vertices.size(); ++ i)
  {
    for (std::size_t j = 0; j < vertices[i].size(); ++ j)
      std::cerr << labels[std::size_t(g[vertices[i][j]].label)];
    std::cerr << std::endl;
  }

  // Init adjacency
  double weight = 0.5;
  for (std::size_t i = 0; i < vertices.size(); ++ i)
    for (std::size_t j = 0; j < vertices[i].size(); ++ j)
    {
      // Neighbor vertices are connected
      if (i < vertices.size() - 1)
      {
        edge_descriptor ed = boost::add_edge (vertices[i][j], vertices[i+1][j], g).first;
        g[ed].weight = weight;
      }
      if (j < vertices[i].size() - 1)
      {
        edge_descriptor ed = boost::add_edge (vertices[i][j], vertices[i][j+1], g).first;
        g[ed].weight = weight;
      }
    }

  std::cerr << std::endl << "Alpha expansion..." << std::endl << std::endl;
  CGAL::alpha_expansion_graphcut (g,
                                  get (&Edge_property::weight, g),
                                  get (&Vertex_property::cost, g),
                                  get (&Vertex_property::label, g),
                                  CGAL::parameters::vertex_index_map (get (boost::vertex_index, g)));


  // Display output graph
  std::cerr << "Output:" << std::endl;
  for (std::size_t i = 0; i < vertices.size(); ++ i)
  {
    for (std::size_t j = 0; j < vertices[i].size(); ++ j)
      std::cerr << labels[std::size_t(g[vertices[i][j]].label)];
    std::cerr << std::endl;
  }

  return 0;
}