C# 完全二叉树
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内容图文
using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace 快排
{
class Tree
{
private int _data;
private Tree _leftChild;
private Tree _rightChild;
public Tree(int value)
{
this._data = value;
this._leftChild = null;
this._rightChild = null;
}
public int data
{
get { return this._data; }
set { this._data = value; }
}
public Tree leftChild
{
get { return this._leftChild; }
set { this._leftChild = value; }
}
public Tree rightChild
{
get { return this._rightChild; }
set { this._rightChild = value; }
}
}
class text
{
private static int dataCount = 100; //数据量
static Tree comTree = new Tree(0); //完全二叉树的根节点
static Tree sortTree = new Tree(0); //排序二叉树的根节点
static List<Tree> comList = new List<Tree>();
static int[] ranData = new int[dataCount];
static int comLeafCount = 0;
static int sortLeafCount = 0;
static void Main(string[] args)
{
Random ran = new Random();
for(int i=0;i<dataCount;i++)
{
ranData[i] = ran.Next(1, 200);
}
do
{
switch (menu())
{
case 1:
{
comTree = new Tree(0);
buildComTree();
Console.WriteLine("完全二叉树构建完成！按任意键继续...\n");
Console.ReadKey();
break;
}
case 2:
{
sortTree = new Tree(0);
buildSortTree();
Console.WriteLine("排序二叉树构建完成！按任意键继续...\n");
Console.ReadKey();
break;
}
case 3:
{
if(sortTree.data==0)
{
Console.WriteLine("排序二叉树尚未被构建！按任意键继续...\n");
}
else
{
InOrder(sortTree);
Console.WriteLine();
Console.WriteLine("\n中序序列输出完毕！按任意键继续...\n");
}
Console.ReadKey();
break;
}
case 4:
{
if (sortTree.data != 0)
{
sortLeafCount = 0;
countSortLeaf(sortTree);
Console.WriteLine("leafCount:" + sortLeafCount + "\n");
}
if ( comTree.data != 0 )
{
comLeafCount = 0;
countComLeaf(comTree);
Console.WriteLine("leafCount:" + comLeafCount + "\n");
}
Console.WriteLine("输出完毕！按任意键继续...\n");
Console.ReadKey();
break;
}
case 5:
{
if (sortTree.data != 0)
{
int leafDepth = 0;
leafDepth = depth(sortTree);
Console.WriteLine("sortTreeDepth:" + leafDepth + "\n");
}
if (comTree.data != 0)
{
int leafDepth = 0;
leafDepth = depth(comTree);
Console.WriteLine("comTreeDepth:" + leafDepth + "\n");
}
Console.WriteLine("输出完毕！按任意键继续...\n");
Console.ReadKey();
break;
}
default: return;
}
} while (true);
}
/// <summary>
/// 显示菜单，提示用户输入，处理输入并作为返回值
/// </summary>
static int menu()
{
int selected;
Console.WriteLine("\n\n 菜单\n\n");
Console.WriteLine("* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *\n\n");
Console.WriteLine("1 .生成完全二叉树\n");
Console.WriteLine("2 .生成二叉排序树\n");
Console.WriteLine("3 .输出中序遍历序列\n");
Console.WriteLine("4 .计算叶子结点数\n");
Console.WriteLine("5 .计算二叉树深度\n");
Console.WriteLine("6 .退出程序\n");
Console.WriteLine("* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *\n\n\n");
do
{
try
{
selected = int.Parse(Console.ReadLine());
}
catch (Exception)
{
Console.WriteLine("请输入正确的选项！\n");
continue;
}
if(selected>=1 && selected<=7)
{
return selected;
}
else
{
Console.WriteLine("请输入正确的选项！\n");
}
} while (true);
}
/// <summary>
/// 创建完全二叉树
/// </summary>
static void buildComTree()
{
comList.Clear();
comTree.data = ranData[0];
comList.Add(comTree);
for(int i=1;i<dataCount;i++)
{
Tree comTree2 = new Tree(ranData[i]);
comList.Add(comTree2);
if(i%2==0)
{
comList[(i-1)/2].rightChild = comTree2;
}
else
{
comList[i/2].leftChild = comTree2;
}
}
}
/// <summary>
/// 创建排序二叉树
/// </summary>
static void buildSortTree()
{
sortTree.data = ranData[0];
for(int i=1;i<dataCount;i++)
{
Tree newSort = new Tree(ranData[i]);
Tree temp = sortTree;
while(true)
{
if(temp.data<=newSort.data)
{
if (temp.rightChild == null)
{
temp.rightChild = newSort;
break;
}
else
{
temp = temp.rightChild;
}
}
else
{
if (temp.leftChild == null)
{
temp.leftChild = newSort;
break;
}
else
{
temp = temp.leftChild;
}
}
}
}
}
/// <summary>
/// 计算完全二叉树的叶子数
/// </summary>
static void countComLeaf(Tree root)
{
if (root != null)
{
if (root.leftChild == null && root.rightChild == null)
{
comLeafCount++;
}
else
{
if (root.leftChild != null)
{
countComLeaf(root.leftChild);
}
if (root.rightChild != null)
{
countComLeaf(root.rightChild);
}
}
}
}
/// <summary>
/// 计算排序二叉树的叶子数
/// </summary>
static void countSortLeaf(Tree root)
{
if (root != null)
{
if (root.leftChild == null && root.rightChild == null)
{
sortLeafCount++;
}
else
{
if (root.leftChild != null)
{
countSortLeaf(root.leftChild);
}
if (root.rightChild != null)
{
countSortLeaf(root.rightChild);
}
}
}
}
/// <summary>
/// 计算二叉树的深度，并作为返回值
/// </summary>
static int depth(Tree root)
{
int treeDepth = 0;
if(root!=null)
{
int depthLeft = depth(root.leftChild);
int depthRight = depth(root.rightChild);
treeDepth = 1 + (depthLeft >= depthRight ? depthLeft : depthRight);
}
return treeDepth;
}
/// <summary>
/// 用以输出中序序列
/// </summary>
/// <param name="root"></param>
static void InOrder(Tree root)
{
if (root != null)
{
InOrder(root.leftChild);
Console.Write(root.data+" ");
InOrder(root.rightChild);
}
}
}
}
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