public MinCreateTreeUseKruskal(WeightGraph weightGraph)
{
_weightGraph = weightGraph;
_result = new List <WeightEdge>();
//cc检测是否联通
List <WeightEdge> list = new List <WeightEdge>();
for (int i = 0; i < _weightGraph.V; i++)
{
foreach (var w in _weightGraph.GetAllContiguousEdge(i))
{
if (i > w)
{
continue;
}
int weight = _weightGraph.GetWeight(i, w);
list.Add(new WeightEdge(i, w, weight));
}
}
list.Sort();
UnionFindAggregate uf = new UnionFindAggregate(_weightGraph.V);
foreach (var e in list)
{
if (uf.IsConnected(e.V, e.W))
{
continue;
}
_result.Add(e);
uf.Union(e.V, e.W);
}
}
public Edmonds_Karp(WeightGraph weightGraph, int s, int t)
{
_weightGraph = weightGraph;
_s = s;
_t = t;
if (!weightGraph.Directed)
{
throw new Exception("directed graph can be supported");
}
if (_weightGraph.V < 2)
{
throw new Exception("vertex must be more than 2");
}
_weightGraph.ValidateNumber(s);
_weightGraph.ValidateNumber(t);
if (s == t)
{
throw new Exception("source point and sink point can't be same");
}
_residualQuantityGraph = new WeightGraph(_weightGraph.V, true);
for (int v = 0; v < _weightGraph.V; v++)
{
foreach (var w in _weightGraph.GetAllContiguousEdge(v))
{
int weight = _weightGraph.GetWeight(v, w);
_residualQuantityGraph.AddEdge(v, w, weight);
_residualQuantityGraph.AddEdge(w, v, 0);
}
}
while (true)
{
List <int> path = GetArgumentingPath();
if (path.Count == 0)
{
break;
}
int f = int.MaxValue;
for (int i = 1; i < path.Count; i++)
{
int v = path[i - 1];
int w = path[i];
f = Math.Min(f, _residualQuantityGraph.GetWeight(v, w));
}
MaxFlow += f;
for (int i = 1; i < path.Count; i++)
{
int v = path[i - 1];
int w = path[i];
int weight = _residualQuantityGraph.GetWeight(v, w);
int residualQuantity = _residualQuantityGraph.GetWeight(w, v);
_residualQuantityGraph.SetWeight(v, w, weight - f);
_residualQuantityGraph.SetWeight(w, v, residualQuantity + f);
}
}
}
public Floyed(WeightGraph weightGraph)
{
this._weightGraph = weightGraph;
_dirs = new int[_weightGraph.V][];
_pre = new int[_weightGraph.V, _weightGraph.V];
for (int i = 0; i < _weightGraph.V; i++)
{
for (int j = 0; j < _weightGraph.V; j++)
{
_pre[i, j] = i;
}
}
for (int i = 0; i < _weightGraph.V; i++)
{
_dirs[i] = new int[_weightGraph.V];
Array.Fill(_dirs[i], int.MaxValue);
}
for (int v = 0; v < _weightGraph.V; v++)
{
foreach (var w in _weightGraph.GetAllContiguousEdge(v))
{
_dirs[v][w] = _weightGraph.GetWeight(v, w);
}
}
//Floyed
for (int t = 0; t < _weightGraph.V; t++)
{
for (int v = 0; v < _weightGraph.V; v++)
{
for (int w = 0; w < _weightGraph.V; w++)
{
if (_dirs[v][t] != Int32.MaxValue && _dirs[t][w] != Int32.MaxValue && _dirs[v][t] + _dirs[t][w] < _dirs[v][w])
{
_dirs[v][w] = _dirs[v][t] + _dirs[t][w];
_pre[v, w] = _pre[t, w];
}
}
}
}
for (int i = 0; i < _weightGraph.V; i++)
{
if (_dirs[i][i] < 0)
{
IsHaveNegativeCircle = true;
}
}
}
public WeightGraph Clone()
{
WeightGraph g = (WeightGraph)this.MemberwiseClone();
g.Adj = new Dictionary <int, int> [V];
for (int i = 0; i < V; i++)
{
g.Adj[i] = new Dictionary <int, int>();
foreach (var kv in this.Adj[i])
{
g.Adj[i].Add(kv.Key, kv.Value);
}
}
return(g);
}
public Dijkstra(WeightGraph weightGraph, int s)
{
this._weightGraph = weightGraph;
this._s = s;
_pre = new int[_weightGraph.V];
_visited = new bool[_weightGraph.V];
_dirs = new int[_weightGraph.V];
for (int i = 0; i < _weightGraph.V; i++)
{
_dirs[i] = int.MaxValue;
}
_dirs[_s] = 0;
while (true)
{
int curDis = Int32.MaxValue;
int cur = -1;
for (int i = 0; i < _weightGraph.V; i++)
{
if (!_visited[i] && _dirs[i] < curDis)
{
curDis = _dirs[i];
cur = i;
}
}
if (cur == -1)
{
break;
}
_visited[cur] = true;
foreach (var w in _weightGraph.GetAllContiguousEdge(cur))
{
if (!_visited[w] && _dirs[w] > _dirs[cur] + _weightGraph.GetWeight(cur, w))
{
_dirs[w] = _dirs[cur] + _weightGraph.GetWeight(cur, w);
_pre[w] = cur;
}
}
}
}
public BinaryPartGraphMatch(IAdjacency iAdjacency)
{
_iAdjacency = iAdjacency;
BinaryPartitionDetection binaryPartitionDetection = new BinaryPartitionDetection(iAdjacency);
if (!binaryPartitionDetection.IsBinaryPartition)
{
throw new Exception("you must use two partite graph");
}
int[] colors = binaryPartitionDetection.Colors;
WeightGraph weightGraph = new WeightGraph(iAdjacency.V + 2, true);
for (int v = 0; v < iAdjacency.V; v++)
{
if (colors[v] == 0)
{
weightGraph.AddEdge(iAdjacency.V, v, 1);
}
if (colors[v] == 1)
{
weightGraph.AddEdge(v, iAdjacency.V + 1, 1);
}
foreach (var w in iAdjacency.GetAllContiguousEdge(v))
{
if (colors[v] == 0)
{
weightGraph.AddEdge(v, w, 1);
}
else if (colors[v] == 1)
{
weightGraph.AddEdge(w, v, 1);
}
}
}
Edmonds_Karp edmondsKarp = new Edmonds_Karp(weightGraph, iAdjacency.V, iAdjacency.V + 1);
MaxMatch = edmondsKarp.MaxFlow;
IsPerfectMatch = MaxMatch * 2 == iAdjacency.V;
}
public Bellman_Ford(WeightGraph weightGraph, int s)
{
this._weightGraph = weightGraph;
this._s = s;
_pre = new int[_weightGraph.V];
_dirs = new int[_weightGraph.V];
for (int i = 0; i < _weightGraph.V; i++)
{
_dirs[i] = Int32.MaxValue;
}
_dirs[s] = 0;
for (int i = 0; i < _weightGraph.V - 1; i++)
{
for (int j = 0; j < _weightGraph.V; j++)
{
foreach (var w in _weightGraph.GetAllContiguousEdge(j))
{
if (_dirs[j] != int.MaxValue && _dirs[j] + _weightGraph.GetWeight(j, w) < _dirs[w])
{
_dirs[w] = _dirs[j] + _weightGraph.GetWeight(j, w);
_pre[w] = j;
}
}
}
}
for (int j = 0; j < _weightGraph.V; j++)
{
foreach (var w in _weightGraph.GetAllContiguousEdge(j))
{
if (_dirs[j] != int.MaxValue && _dirs[j] + _weightGraph.GetWeight(j, w) < _dirs[w])
{
IsHaveCircle = true;
}
}
}
}
public MinCreateTreeUsePrim(WeightGraph weightGraph)
{
this._weightGraph = weightGraph;
_result = new List <WeightEdge>();
//cc 的联通分量个数==1
bool[] visited = new bool[_weightGraph.V];
visited[0] = true;
for (int i = 0; i < _weightGraph.V - 1; i++)
{
WeightEdge min = new WeightEdge(-1, -1, int.MaxValue);
for (int j = 0; j < visited.Length; j++)
{
if (visited[j] == false)
{
continue;
}
foreach (var w in _weightGraph.GetAllContiguousEdge(j))
{
if (visited[w])
{
continue;
}
int weight = _weightGraph.GetWeight(j, w);
WeightEdge cur = new WeightEdge(j, w, weight);
if (cur.CompareTo(min) < 0)
{
min = cur;
}
}
}
_result.Add(min);
visited[min.W] = true;
visited[min.V] = true;
}
}
static void MainForGraph(string[] args)
{
AdjacencyMatrix adjcencyMatrix = new AdjacencyMatrix("../../../g2.txt");
AdjacencyList adjacencyList = new AdjacencyList("../../../g2.txt");
Console.WriteLine(adjcencyMatrix);
Console.WriteLine(adjacencyList);
DfsGraph dfsMatrix = new DfsGraph(adjcencyMatrix);
dfsMatrix.PreOrder.ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
dfsMatrix.PostOrder.ForEach(Console.WriteLine);
Console.WriteLine(dfsMatrix.ConnectedComponentCount);
PrintListArray(dfsMatrix.ConnectedComponents());
Console.WriteLine("----------------华丽的分割线----------------");
DfsGraph dfsList = new DfsGraph(adjacencyList);
dfsList.PreOrder.ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
dfsList.PostOrder.ForEach(Console.WriteLine);
Console.WriteLine(dfsList.ConnectedComponentCount);
PrintListArray(dfsList.ConnectedComponents());
//Console.WriteLine("----------------华丽的分割线----------------");
//SingleSourcePath singleSourcePath=new SingleSourcePath(adjcencyMatrix,0,6);
//foreach (var i in singleSourcePath.Path())
//{
// Console.Write(i+" ");
//}
Console.WriteLine();
Console.WriteLine("----------------华丽的分割线----------------");
CircleDetection circleDetection = new CircleDetection(adjcencyMatrix);
Console.WriteLine(circleDetection.IsHaveCircle);
Console.WriteLine("----------------华丽的分割线----------------");
BinaryPartitionDetection binaryPartitionDetection = new BinaryPartitionDetection(adjcencyMatrix);
Console.WriteLine(binaryPartitionDetection.IsBinaryPartition);
BfsGraph bfsGraph = new BfsGraph(adjcencyMatrix);
bfsGraph.Order.ForEach(Console.WriteLine);
//Console.WriteLine("----------------华丽的分割线----------------");
//SingleSourcePathUseBfs singleSourcePathUseBfs=new SingleSourcePathUseBfs(adjcencyMatrix,0);
//foreach (var i in singleSourcePathUseBfs.Path(6))
//{
// Console.Write(i+" ");
//}
//Console.WriteLine();
//Console.WriteLine(singleSourcePathUseBfs.MinDistance(6));
//Console.WriteLine("----------------华丽的分割线----------------");
//int[][] grid = new int[4][];//[[1,1,0,0,0],[1,1,0,0,0],[0,0,0,1,1],[0,0,0,1,1]]
//grid[0] =new int[]{ 1, 1, 0, 0, 0 };
//grid[1]=new int[]{ 1, 1, 0, 0, 0 };
//grid[2] = new int[] { 0, 0, 0, 1,1 };
//grid[3] = new int[] { 0, 0, 0, 1, 1 };
//Solution solution=new Solution();
//Console.WriteLine(solution.MaxAreaOfIsland(grid));
//Console.WriteLine("----------------华丽的分割线----------------");
//int[][] grid = new int[4][];//[[1,1,0,0,0],[1,1,0,0,0],[0,0,0,1,1],[0,0,0,1,1]]
//grid[0] = new int[] { 1, 1, 0, 0, 0 };
//grid[1] = new int[] { 1, 1, 0, 0, 0 };
//grid[2] = new int[] { 0, 0, 0, 1, 1 };
//grid[3] = new int[] { 0, 0, 0, 1, 1 };
//Solution1 solution = new Solution1();
//Console.WriteLine(solution.MaxAreaOfIsland(grid));
Console.WriteLine("----------------华丽的分割线----------------");
Solution3 solution3 = new Solution3();
int[][] grid = new int[3][]
{
new int[3] {
0, 0, 0
},
new int[3] {
1, 1, 0
},
new int[3] {
1, 1, 0
}
};
Console.WriteLine(solution3.ShortestPathBinaryMatrix(grid));
Console.WriteLine("----------------华丽的分割线----------------");
Bulket bulket = new Bulket();
bulket.WaterPullze().Path().ForEach(t => Console.WriteLine(t[0] + "," + t[1]));
Console.WriteLine("----------------华丽的分割线----------------");
FarmerAcrossTheRiver farmerAcrossTheRiver = new FarmerAcrossTheRiver();
farmerAcrossTheRiver.AcrossTheRiver().ForEach(_ =>
{
Console.WriteLine(_[0] + "," + _[1] + "," + _[2] + "," + _[3]);
});
Console.WriteLine("----------------华丽的分割线----------------");
Bridge bridge = new Bridge();
bridge.FindBridge(adjcencyMatrix);
bridge.BridgeEdge.ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
CutPoint cutPoint = new CutPoint();
cutPoint.FindCutPoint(adjcencyMatrix);
foreach (var cutPointCutPoint in cutPoint.CutPoints)
{
Console.Write(cutPointCutPoint + " ");
}
Console.WriteLine();
Console.WriteLine("----------------华丽的分割线----------------");
HamiltonLoop hamiltonLoop = new HamiltonLoop();
hamiltonLoop.FindHamiltonPath(adjcencyMatrix);
hamiltonLoop.Path().ForEach(Console.WriteLine);
Console.WriteLine();
Console.WriteLine("----------------华丽的分割线----------------");
HamiltonPath hamiltonPath = new HamiltonPath(adjcencyMatrix, 0);
foreach (var i in hamiltonPath.Path())
{
Console.Write(i + " ");
}
Console.WriteLine();
Console.WriteLine("----------------华丽的分割线----------------");
// [[1,0,0,0],[0,0,0,0],[0,0,2,-1]]
DiferencePath diferencePath = new DiferencePath();
int[][] s = new int[3][] { new int[] { 1, 0, 0, 0 }, new int[] { 0, 0, 0, 0 }, new int[] { 0, 0, 2, -1 } };
Console.WriteLine(diferencePath.UniquePathsIII(s));
Console.WriteLine("----------------华丽的分割线----------------");
EulerLoop eulerLoop = new EulerLoop(adjcencyMatrix);
eulerLoop.EulerLoopPath().ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
WeightGraph weightGraph = new WeightGraph("../../../mincreatetree.txt");
MinCreateTreeUseKruskal minCreateTreeUseKruskal = new MinCreateTreeUseKruskal(weightGraph);
minCreateTreeUseKruskal.Result().ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
MinCreateTreeUsePrim minCreateTreeUsePrim = new MinCreateTreeUsePrim(weightGraph);
minCreateTreeUsePrim.Result().ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
WeightGraph weightGraph1 = new WeightGraph("../../../dijkstra.txt");
Dijkstra dijkstra = new Dijkstra(weightGraph1, 0);
Console.WriteLine(dijkstra.Distance(4));
dijkstra.Path(4).ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
Bellman_Ford bellmanFord = new Bellman_Ford(weightGraph1, 0);
Console.WriteLine(bellmanFord.Distance(4));
bellmanFord.Path(4).ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
Floyed floyed = new Floyed(weightGraph1);
Console.WriteLine(floyed.ShortedLength(0, 4));
floyed.Path(0, 4).ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
IAdjacency adjacency = new AdjacencyList("../../../directed.txt", true);
DirectedCircleDectection directedCircleDectection = new DirectedCircleDectection(adjacency);
Console.WriteLine(directedCircleDectection.IsHaveCircle);
Console.WriteLine("----------------华丽的分割线----------------");
ToopSort toopSort = new ToopSort(adjacency);
Console.WriteLine(toopSort.IsHaveCircle);
toopSort.Result.ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
ToopSortByDfs toopSortByDfs = new ToopSortByDfs(adjacency);
toopSortByDfs.Result.ForEach(Console.WriteLine);
Console.WriteLine("----------------华丽的分割线----------------");
IAdjacency stronglyTest = new AdjacencyList("../../../stronglyconnectedweight.txt", true);
StronglyConnectedWeight stronglyConnectedWeight = new StronglyConnectedWeight(stronglyTest);
Console.WriteLine(stronglyConnectedWeight.StronglyConnectedWeightCount);
for (int i = 0; i < stronglyConnectedWeight.StronglyConnectedComponent.Length; i++)
{
Console.Write(i + ":");
foreach (var v in stronglyConnectedWeight.StronglyConnectedComponent[i])
{
Console.Write(v + " ");
}
Console.WriteLine();
}
Console.WriteLine("----------------华丽的分割线----------------");
WeightGraph edmondsGraph = new WeightGraph("../../../edmondskarp.txt", true);
Edmonds_Karp edmondsKarp = new Edmonds_Karp(edmondsGraph, 0, 3);
Console.WriteLine(edmondsKarp.MaxFlow);
Console.WriteLine(edmondsKarp.FlowInTwoVertex(0, 1));
Console.WriteLine("----------------华丽的分割线----------------");
AdjacencyList twoPartite = new AdjacencyList("../../../twopartitegraphmatch.txt");
BinaryPartGraphMatch binaryPartGraphMatch = new BinaryPartGraphMatch(twoPartite);
Console.WriteLine(binaryPartGraphMatch.MaxMatch);
Console.WriteLine(binaryPartGraphMatch.IsPerfectMatch);
Console.WriteLine("----------------华丽的分割线----------------");
Hungarain hungarain = new Hungarain(twoPartite);
Console.WriteLine(hungarain.MaxMatch);
Console.WriteLine("----------------华丽的分割线----------------");
Lcp4 lcp4 = new Lcp4();
int[][] test = new int[2][] { new int[] { 1, 0 }, new int[] { 1, 1 } };
Console.WriteLine(lcp4.domino(2, 3, test));
Console.WriteLine(lcp4.domino(3, 3, new int[0][]));
}
