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Add C# code for the chapter Heap and Graph (krahets#324)
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* 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 (krahets#317)

* Add Zig code blocks.

* fix: resolve build error for commit 5eae708 (krahets#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… (krahets#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 <[email protected]>

* 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 <[email protected]>
Co-authored-by: sjinzh <[email protected]>
Co-authored-by: Yudong Jin <[email protected]>
Co-authored-by: nuomi1 <[email protected]>
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132 changes: 132 additions & 0 deletions codes/csharp/chapter_graph/graph_adjacency_list.cs
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/**
* File: graph_adjacency_list.cs
* Created Time: 2023-02-06
* Author: zjkung1123 ([email protected])
*/

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();
}
}
149 changes: 149 additions & 0 deletions codes/csharp/chapter_graph/graph_adjacency_matrix.cs
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/**
* File: graph_adjacency_list.cs
* Created Time: 2023-02-06
* Author: zjkung1123 ([email protected])
*/

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();
}
}
70 changes: 70 additions & 0 deletions codes/csharp/chapter_heap/heap.cs
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/**
* File: heap.cs
* Created Time: 2023-02-06
* Author: zjkung1123 ([email protected])
*/

using hello_algo.include;
using NUnit.Framework;

namespace hello_algo.chapter_heap;

public class heap
{
public void testPush(PriorityQueue<int, int> heap, int val)
{
heap.Enqueue(val, val); // 元素入堆
Console.WriteLine($"\n元素 {val} 入堆后\n");
PrintUtil.printHeap(heap);
}

public void testPoll(PriorityQueue<int, int> heap)
{
int val = heap.Dequeue(); // 堆顶元素出堆
Console.WriteLine($"\n堆顶元素 {val} 出堆后\n");
PrintUtil.printHeap(heap);
}
[Test]
public void Test()
{
/* 初始化堆 */
// 初始化小顶堆
PriorityQueue<int, int> minHeap = new PriorityQueue<int, int>();
// 初始化大顶堆(使用 lambda 表达式修改 Comparator 即可)
PriorityQueue<int, int> maxHeap = new PriorityQueue<int, int>(Comparer<int>.Create((x, y) => y - x));
Console.WriteLine("以下测试样例为大顶堆");

/* 元素入堆 */
testPush(maxHeap, 1);
testPush(maxHeap, 3);
testPush(maxHeap, 2);
testPush(maxHeap, 5);
testPush(maxHeap, 4);

/* 获取堆顶元素 */
int peek = maxHeap.Peek();
Console.WriteLine($"堆顶元素为 {peek}");

/* 堆顶元素出堆 */
// 出堆元素会形成一个从大到小的序列
testPoll(maxHeap);
testPoll(maxHeap);
testPoll(maxHeap);
testPoll(maxHeap);
testPoll(maxHeap);

/* 获取堆大小 */
int size = maxHeap.Count;
Console.WriteLine($"堆元素数量为 {size}");

/* 判断堆是否为空 */
bool isEmpty = maxHeap.Count == 0;
Console.WriteLine($"堆是否为空 {isEmpty}");

/* 输入列表并建堆 */
var list = new int[] { 1, 3, 2, 5, 4 };
minHeap = new PriorityQueue<int, int>(list.Select(x => (x, x)));
Console.WriteLine("输入列表并建立小顶堆后");
PrintUtil.printHeap(minHeap);
}
}
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