Add C# code for the chapter Heap and Graph (#324)

* add : C# heap ,graph, fix type "sift"=>"shift"

* chore: rename "shift" to "sift"

* add: heap,graph C# sample code ,fix format

* fix md format

* fix md intend foramt

* fix basic_operation_of_graph.md format

* fix md format

* fix md format

* fix indentation format

* chore: fix my_heap.cs test

* fix: test and doc typo

* fix bug for commit 5eae708 (#317)

* Add Zig code blocks.

* fix: resolve build error for commit 5eae708 (#318)

* Unify the function naming of
queue from `offer()` to `push()`

* Update TypeScript codes.

* Update binary_search_tree

* Update graph operations.

* Fix code indentation.

* Update worst_best_time_complexity,
leetcode_two_sum

* Update avl_tree

* copy zig codes of chapter_array_and_linkedlist and chapter_computatio… (#319)

* copy zig codes of chapter_array_and_linkedlist and chapter_computational_complexity to markdown files

* Update time_complexity.md

---------

Co-authored-by: Yudong Jin <krahets@163.com>

* Fix Python code styles.
Update hash_map.

* chore: fix heap logic

* Update graph_adjacency_matrix.cs

* Update graph_adjacency_matrix.cs

* Update my_heap.cs

* fix: heap test

* fix naming format

* merge markdown

* fix markdown format

* Update graph_adjacency_list.cs

* Update graph_adjacency_matrix.cs

* Update PrintUtil.cs

* Create Vertex.cs

* Update heap.cs

---------

Co-authored-by: zjkung1123 <zjkung1123@fugle.tw>
Co-authored-by: sjinzh <99076655+sjinzh@users.noreply.github.com>
Co-authored-by: Yudong Jin <krahets@163.com>
Co-authored-by: nuomi1 <nuomi1@qq.com>
This commit is contained in:
ZJKung
2023-02-15 21:24:24 +08:00
committed by GitHub
parent a383cb7ddf
commit f0b092fec4
7 changed files with 652 additions and 5 deletions

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/**
* File: graph_adjacency_list.cs
* Created Time: 2023-02-06
* Author: zjkung1123 (zjkung1123@gmail.com)
*/
using hello_algo.include;
using NUnit.Framework;
namespace hello_algo.chapter_graph;
/* 基于邻接表实现的无向图类 */
class GraphAdjList
{
// 邻接表 adjList 中的元素是 Vertex 对象
Dictionary<Vertex, List<Vertex>> adjList;
/* 构造函数 */
public GraphAdjList(Vertex[][] edges)
{
this.adjList = new Dictionary<Vertex, List<Vertex>>();
// 添加所有顶点和边
foreach (Vertex[] edge in edges)
{
addVertex(edge[0]);
addVertex(edge[1]);
addEdge(edge[0], edge[1]);
}
}
/* 获取顶点数量 */
public int size()
{
return adjList.Count;
}
/* 添加边 */
public void addEdge(Vertex vet1, Vertex vet2)
{
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
throw new InvalidOperationException();
// 添加边 vet1 - vet2
adjList[vet1].Add(vet2);
adjList[vet2].Add(vet1);
}
/* 删除边 */
public void removeEdge(Vertex vet1, Vertex vet2)
{
if (!adjList.ContainsKey(vet1) || !adjList.ContainsKey(vet2) || vet1 == vet2)
throw new InvalidOperationException();
// 删除边 vet1 - vet2
adjList[vet1].Remove(vet2);
adjList[vet2].Remove(vet1);
}
/* 添加顶点 */
public void addVertex(Vertex vet)
{
if (adjList.ContainsKey(vet))
return;
// 在邻接表中添加一个新链表
adjList.Add(vet, new List<Vertex>());
}
/* 删除顶点 */
public void removeVertex(Vertex vet)
{
if (!adjList.ContainsKey(vet))
throw new InvalidOperationException();
// 在邻接表中删除顶点 vet 对应的链表
adjList.Remove(vet);
// 遍历其它顶点的链表,删除所有包含 vet 的边
foreach (List<Vertex> list in adjList.Values)
{
list.Remove(vet);
}
}
/* 打印邻接表 */
public void print()
{
Console.WriteLine("邻接表 =");
foreach (KeyValuePair<Vertex, List<Vertex>> entry in adjList)
{
List<int> tmp = new List<int>();
foreach (Vertex vertex in entry.Value)
tmp.Add(vertex.Val);
Console.WriteLine(entry.Key.Val + ": [" + string.Join(", ", tmp) + "],");
}
}
}
public class graph_adjacency_list
{
[Test]
public void Test()
{
/* 初始化无向图 */
Vertex[] v = Vertex.valsToVets(new int[] { 1, 3, 2, 5, 4 });
Vertex[][] edges = new Vertex[][] { new Vertex[] { v[0], v[1] }, new Vertex[] { v[0], v[3] },
new Vertex[] { v[1], v[2] }, new Vertex[] { v[2], v[3] },
new Vertex[] { v[2], v[4] }, new Vertex[] { v[3], v[4] } };
GraphAdjList graph = new GraphAdjList(edges);
Console.WriteLine("\n初始化后图为");
graph.print();
/* 添加边 */
// 顶点 1, 2 即 v[0], v[2]
graph.addEdge(v[0], v[2]);
Console.WriteLine("\n添加边 1-2 后,图为");
graph.print();
/* 删除边 */
// 顶点 1, 3 即 v[0], v[1]
graph.removeEdge(v[0], v[1]);
Console.WriteLine("\n删除边 1-3 后,图为");
graph.print();
/* 添加顶点 */
Vertex v5 = new Vertex(6);
graph.addVertex(v5);
Console.WriteLine("\n添加顶点 6 后,图为");
graph.print();
/* 删除顶点 */
// 顶点 3 即 v[1]
graph.removeVertex(v[1]);
Console.WriteLine("\n删除顶点 3 后,图为");
graph.print();
}
}

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/**
* File: graph_adjacency_list.cs
* Created Time: 2023-02-06
* Author: zjkung1123 (zjkung1123@gmail.com)
*/
using hello_algo.include;
using NUnit.Framework;
namespace hello_algo.chapter_graph;
/* 基于邻接矩阵实现的无向图类 */
class GraphAdjMat
{
List<int> vertices; // 顶点列表,元素代表“顶点值”,索引代表“顶点索引”
List<List<int>> adjMat; // 邻接矩阵,行列索引对应“顶点索引”
/* 构造函数 */
public GraphAdjMat(int[] vertices, int[][] edges)
{
this.vertices = new List<int>();
this.adjMat = new List<List<int>>();
// 添加顶点
foreach (int val in vertices)
{
addVertex(val);
}
// 添加边
// 请注意edges 元素代表顶点索引,即对应 vertices 元素索引
foreach (int[] e in edges)
{
addEdge(e[0], e[1]);
}
}
/* 获取顶点数量 */
public int size()
{
return vertices.Count;
}
/* 添加顶点 */
public void addVertex(int val)
{
int n = size();
// 向顶点列表中添加新顶点的值
vertices.Add(val);
// 在邻接矩阵中添加一行
List<int> newRow = new List<int>(n);
for (int j = 0; j < n; j++)
{
newRow.Add(0);
}
adjMat.Add(newRow);
// 在邻接矩阵中添加一列
foreach (List<int> row in adjMat)
{
row.Add(0);
}
}
/* 删除顶点 */
public void removeVertex(int index)
{
if (index >= size())
throw new IndexOutOfRangeException();
// 在顶点列表中移除索引 index 的顶点
vertices.RemoveAt(index);
// 在邻接矩阵中删除索引 index 的行
adjMat.RemoveAt(index);
// 在邻接矩阵中删除索引 index 的列
foreach (List<int> row in adjMat)
{
row.RemoveAt(index);
}
}
/* 添加边 */
// 参数 i, j 对应 vertices 元素索引
public void addEdge(int i, int j)
{
// 索引越界与相等处理
if (i < 0 || j < 0 || i >= size() || j >= size() || i == j)
throw new IndexOutOfRangeException();
// 在无向图中,邻接矩阵沿主对角线对称,即满足 (i, j) == (j, i)
adjMat[i][j] = 1;
adjMat[j][i] = 1;
}
/* 删除边 */
// 参数 i, j 对应 vertices 元素索引
public void removeEdge(int i, int j)
{
// 索引越界与相等处理
if (i < 0 || j < 0 || i >= size() || j >= size() || i == j)
throw new IndexOutOfRangeException();
adjMat[i][j] = 0;
adjMat[j][i] = 0;
}
/* 打印邻接矩阵 */
public void print()
{
Console.Write("顶点列表 = ");
PrintUtil.PrintList(vertices);
Console.WriteLine("邻接矩阵 =");
PrintUtil.printMatrix(adjMat);
}
}
public class graph_adjacency_matrix
{
[Test]
public void Test()
{
/* 初始化无向图 */
// 请注意edges 元素代表顶点索引,即对应 vertices 元素索引
int[] vertices = { 1, 3, 2, 5, 4 };
int[][] edges = new int[][] { new int[] { 0, 1 }, new int[] { 0, 3 },
new int[] { 1, 2 }, new int[] { 2, 3 },
new int[] { 2, 4 }, new int[] { 3, 4 } };
GraphAdjMat graph = new GraphAdjMat(vertices, edges);
Console.WriteLine("\n初始化后图为");
graph.print();
/* 添加边 */
// 顶点 1, 2 的索引分别为 0, 2
graph.addEdge(0, 2);
Console.WriteLine("\n添加边 1-2 后,图为");
graph.print();
/* 删除边 */
// 顶点 1, 3 的索引分别为 0, 1
graph.removeEdge(0, 1);
Console.WriteLine("\n删除边 1-3 后,图为");
graph.print();
/* 添加顶点 */
graph.addVertex(6);
Console.WriteLine("\n添加顶点 6 后,图为");
graph.print();
/* 删除顶点 */
// 顶点 3 的索引为 1
graph.removeVertex(1);
Console.WriteLine("\n删除顶点 3 后,图为");
graph.print();
}
}