public static void Task7(IGraphAtoFactory graphFactory)
{
//var graph = graphFactory.CreateTwoPartsWeighedGraph(new int[,] {
// { 4, 3, 7, 9, 12, 10 },
// { 5, 7, 11, 10, 14, 6 },
// { 3, 8, 12, 11, 4, 9 },
// { 11, 9, 14, 7, 6, 13 },
// { 10, 12, 4, 3, 5, 8 },
// { 12, 4, 3, 8, 7, 12 },
// },
// new[] { "1", "2", "3", "4", "5", "6" },
// new[] { "A", "B", "C", "D", "E", "F" });
var graph = graphFactory.CreateTwoPartsWeighedGraph(new int[, ] {
{ 8, 8, 1, 10, 4, 6, 6, 1 },
{ 6, 8, 8, 10, 3, 3, 3, 10 },
{ 3, 4, 10, 2, 3, 3, 3, 1 },
{ 8, 1, 6, 4, 4, 4, 9, 5 },
{ 2, 4, 9, 4, 5, 3, 3, 4 },
{ 1, 5, 4, 7, 2, 9, 3, 8 },
{ 8, 3, 3, 3, 4, 4, 4, 10 },
{ 8, 5, 1, 1, 1, 9, 8, 3 },
},
new[] { "1", "2", "3", "4", "5", "6", "7", "8" },
new[] { "A", "B", "C", "D", "E", "F", "G", "H" });
void OnStep(string info) => Console.WriteLine(info);
var pairs = graph.ApplayHungarian(graphFactory, OnStep);
Console.WriteLine(pairs.Print());
}
public static IEnumerable <string> ApplayFleury(this IGraph graph, IGraphAtoFactory factory)
{
var cycle = factory.CreatePoute();
var node = graph.GetFirstNode();
int i = 0;
string removed = "";
do
{
var edges = node.GetEdges(graph).ToList();
var edgesListInfo = string.Join(", ", edges.Select(e => $"{e.Print()} - {(e.IsBrige(node.GetNext(e), graph) ? "Мост" : "Не мост")}"));
var edge = edges.FirstOrDefault(e => !e.IsBrige(node.GetNext(e), graph)) ?? edges.FirstOrDefault();
yield return($"{(removed == "" ? "" : $"\tУдаляем из графа грань {removed}\n")}Шаг {i}\n\tЦикл: {cycle.Print()}\n\tГафф: {graph.Print()}\n\tТекущий узел: {node}, Нерассмотренные грани: {edgesListInfo}\n\tПервая не рассмотренная грань, не являющаяся мостом: {edge}");
public static void Task8(IGraphAtoFactory graphFactory)
{
var graph = graphFactory.CreateGraph(("H", "E"), ("H", "F"), ("H", "D"), ("H", "G"),
("E", "A"), ("E", "D"), ("E", "B"),
("F", "A"), ("F", "D"), ("F", "G"),
("G", "B"), ("G", "C"),
("D", "A"),
("A", "B"),
("B", "C"));
Console.WriteLine(graph);
foreach (var step in graph.ApplayFleury(graphFactory))
{
Console.WriteLine(step);
}
}
public static void Task9(IGraphAtoFactory graphFactory)
{
//var graph = graphFactory.CreateOrgraph(("F", "A"), ("C", "A"), ("A", "B"),
// ("F", "B"), ("B", "E"), ("B", "C"),
// ("F", "C"), ("D", "F"),
// ("E", "C"), ("C", "D"), ("D", "C"),
// ("E", "D"));
var graph = graphFactory.CreateOrgraph(new int[, ] {
{ 0, 0, 1, 1 },
{ 0, 0, 1, 1 },
{ 1, 1, 0, 1 },
{ 1, 1, 1, 0 },
},
"A", "B", "C", "D");
Console.WriteLine(graph);
var result = graph.ApplayRobertsFlores(graphFactory).ToList();
result.ForEach(Console.WriteLine);
}
private static IEnumerable<IPath> GetAllCircuit(INode node, IOrgraph orgraph, HashSet<INode> notAllowed, INode root, IGraphAtoFactory factory, Action<string> OnStep)
{
notAllowed.Add(node);
//OnStep($"{string.Join(", ", notAllowed)}");
if (notAllowed.Count == orgraph.Nodes.Count && node.GetOutputArcs(orgraph).FirstOrDefault(a => a.To == root) is { } finalArc)
{
var circuit = factory.CreatePath();
OnStep($"Add {finalArc}");
circuit.Append(finalArc);
yield return circuit;
yield break;
}
foreach (var arc in node.GetOutputArcs(orgraph).Where(a => a.To.NotIn(notAllowed)))
{
var circuits = GetAllCircuit(arc.To, orgraph, new HashSet<INode>(notAllowed), root, factory, OnStep);
foreach (var circuit in circuits)
{
OnStep($"Add {arc}");
circuit.Append(arc);
yield return circuit;
}
}
//private static IEnumerable<IPath> GetAllCircuit(INode node, IOrgraph orgraph, HashSet<INode> notAllowed, INode root, IGraphAtoFactory factory, Action<string> OnStep)
//{
// notAllowed.Add(node);
// OnStep($"{string.Join(", ", notAllowed)}");
// if (notAllowed.Count == orgraph.Nodes.Count && node.GetOutputArcs(orgraph).FirstOrDefault(a => a.To == root) is { } finalArc)
// {
// var circuit = factory.CreatePath();
// circuit.Append(finalArc);
// return circuit;
// }
// foreach (var arc in node.GetOutputArcs(orgraph).Where(a => a.To.NotIn(notAllowed)))
// {
// var circuit = GetCircuit(arc.To, orgraph, notAllowed, root, factory, OnStep);
// if (circuit is null) continue;
// circuit.Append(arc);
// return circuit;
// }
// notAllowed.Remove(node);
// return null;
//}
}
private static IEnumerable <IPath> GetAllCircuit(INode node, IOrgraph orgraph, HashSet <INode> notAllowed, INode root, IGraphAtoFactory factory, Action <string> OnStep)
{
notAllowed.Add(node);
var step = $"S = {string.Join(", ", notAllowed)}, Current node: {node}, Current arc: ";
//OnStep($"{string.Join(", ", notAllowed)}");
if (notAllowed.Count == orgraph.Nodes.Count && node.GetOutputArcs(orgraph).FirstOrDefault(a => a.To == root) is { } finalArc)
{
OnStep($"{step} {finalArc}");
var circuit = factory.CreatePath();
OnStep($"Add {finalArc}");
circuit.Append(finalArc);
yield return(circuit);
yield break;
}
foreach (var arc in node.GetOutputArcs(orgraph).Where(a => a.To.NotIn(notAllowed)))
{
OnStep($"{step} {arc}");
var circuits = GetAllCircuit(arc.To, orgraph, new HashSet <INode>(notAllowed), root, factory, OnStep);
foreach (var circuit in circuits)
{
OnStep($"Add {arc}");
circuit.Append(arc);
yield return(circuit);
}
}
}
private static IPath GetCircuit(INode node, IOrgraph orgraph, HashSet <INode> notAllowed, INode root, IGraphAtoFactory factory, Action <string> OnStep)
{
notAllowed.Add(node);
//OnStep($"{string.Join(", ", notAllowed)}");
if (notAllowed.Count == orgraph.Nodes.Count && node.GetOutputArcs(orgraph).FirstOrDefault(a => a.To == root) is { } finalArc)
{
var circuit = factory.CreatePath();
OnStep($"Add {finalArc}");
circuit.Append(finalArc);
return(circuit);
}
foreach (var arc in node.GetOutputArcs(orgraph).Where(a => a.To.NotIn(notAllowed)))
{
var circuit = GetCircuit(arc.To, orgraph, notAllowed, root, factory, OnStep);
if (circuit is null)
{
continue;
}
OnStep($"Add {arc}");
circuit.Append(arc);
return(circuit);
}
notAllowed.Remove(node);
return(null);
}
public Hungarian(IGraphAtoFactory factory, Action <string> onStep)
{
_factory = factory;
_onStep = onStep;
}
public static IWeighedPairsGraph ApplayHungarian(this ITwoPartsWeighedGraph graph, IGraphAtoFactory factory, Action <string> onStep)
{
var hungarian = new Hungarian(factory, onStep);
return(hungarian.Applay(graph));
}
