数据结构与算法(C#实现)系列---N叉树(一)

Heavenkiller(原创)

N叉树的每一节点度数都相同，为N
using System;
using System.Collections;
namespace DataStructure

{

     /// <summary>

     /// NaryTree 的摘要说明。-----N叉树

     /// </summary>

     public class NaryTree:Tree

     {

         // member variables

         protected object key;

         protected uint degree;

         protected ArrayList treeList=new ArrayList();

         //protected uint height=0;//暂时默认为0

         //create an empty tree whose attribute of degree is _degree

         public NaryTree(uint _degree)

         {

              //

              // TODO: 在此处添加构造函数逻辑

              //

              this.key=null;

              this.degree=_degree;

              this.treeList=null;

         }

         //构造一棵叶子结点的N叉树

         public NaryTree(uint _degree,object _key)

         {

              this.key=_key;

              this.degree=_degree;

              this.treeList=new ArrayList();

              this.treeList.Capacity=(int)_degree;

              for(int i=0;i<this.treeList.Capacity;i++)

              {

                   this.treeList.Add( this.GetEmptyInstance(_degree) );

              }

         }

         //-----------------------------------------------------------------

         protected virtual object GetEmptyInstance(uint _degree)

         {    return new NaryTree(_degree); }

         //-------------------------------------------------------------------

         //judge whether the tree is an empty tree

         public override bool IsEmpty()

         {    return this.key==null; }

         //判定是否是叶子结点。如果即不是空树且每一棵子树均为空树，则为叶子结点

         public override bool IsLeaf()

         {

              if(IsEmpty())

                   return false;

              for(uint i=0;i<this.degree;i++)

              {

                   if(  !(this[i].IsEmpty()) )

                       return false;

              }

              return true;

         }

         //-----------------------------------Inherited Attributes---------------------------------

         public override object Key

         {

              get

              {

                   return this.key;

              }

         }

         //索引器

         public override Tree this[uint _index]

         {

              get

              {

                   if( _index>=this.degree )

                       throw new Exception("My:out of index!");//如果出界，则抛出异常

                   if( this.IsEmpty() )

                       return null;//如果是空树，则索引器返回一个 null

                   return (Tree)this.treeList[(int)_index];

              }

              set

              {

                   this.treeList[(int)_index]=value;

              }

         }