C#实现平衡二叉查找树
using System;
using System.Collections;
namespace DataStructure
{
/// <summary>
/// AVLTree 的摘要说明。-----平衡二叉查找树
/// </summary>
public class AVLTree:BST
{
protected int height;//空树的高定义为-1;
//构造一棵空的二叉查找树
public AVLTree():base()
{
//
// TODO: 在此处添加构造函数逻辑
//
height=-1;
}
public AVLTree(object _obj):base(_obj)
{
height=0;
}
//------------------------------------------------------------------
protected override object GetEmptyInstance(uint _degree)
{ return new AVLTree(); }
//------------------------------------------------------------------
protected int BalanceFactor()
{
if (this.IsEmpty() )
return 0;
return ((AVLTree)this.Left).height-((AVLTree)this.Right).height;
}
//调整高度
protected void AdjustHeight()
{
this.height=Math.Max(
((AVLTree)this.Left).height, ((AVLTree)this.Right).height)+1;
}
//平衡时的四种旋转方式
protected void LLRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
AVLTree avlB=new AVLTree(this.key);
avlB.AttachSubtree(1,(AVLTree)this[0][1]);
avlB.AttachSubtree(2,(AVLTree)this[1]);
this.key=this[0].Key;
this[0]=this[0][0];
this[1]=avlB;
//调整两个节点的高度
((AVLTree)this.Right).AdjustHeight();
this.AdjustHeight();
}
protected void LRRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
((AVLTree)this.Left).RRRotation();
this.LLRotation();
}
protected void RRRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
AVLTree avlB=new AVLTree(this.key);
avlB.AttachSubtree(1,(AVLTree)this[0]);
avlB.AttachSubtree(2,(AVLTree)this[1][0]);
this.key=this[1].Key;
this[0]=avlB;
this[1]=this[1][1];
//调整两个节点的高度
((AVLTree)this.Left).AdjustHeight();
this.AdjustHeight();
}
protected void RLRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
((AVLTree)this.Right).LLRotation();
this.RRRotation();
}
//---------------override--------------------
public override void AttachKey(object _obj)
{
if(!IsEmpty())
throw new Exception("My:this node must be a empty tree node!");
this.key=_obj;
//产生一个degree长的数组,并将其初始化为空树
this.treeList=new ArrayList();
this.treeList.Capacity=(int)this.degree;
for(int i=0;i<this.degree;i++)
{
treeList.Add(new AVLTree());
}
//
this.height=0;
}
//在改动树的结构后平衡树
public override void Balance()
{
this.AdjustHeight();
//大于1则说明不平衡
if( Math.Abs(this.BalanceFactor())>1)
{
if(this.BalanceFactor()>0)
{
if (((AVLTree)this.Left).BalanceFactor()>0)
this.LLRotation();
else
this.LRRotation();
}
else
{
if (((AVLTree)this.Right).BalanceFactor()<0)
this.RRRotation();
else
this.RLRotation();
}
}
}
public int Height{get{return this.height;}}
}
}
using System.Collections;
namespace DataStructure
{
/// <summary>
/// AVLTree 的摘要说明。-----平衡二叉查找树
/// </summary>
public class AVLTree:BST
{
protected int height;//空树的高定义为-1;
//构造一棵空的二叉查找树
public AVLTree():base()
{
//
// TODO: 在此处添加构造函数逻辑
//
height=-1;
}
public AVLTree(object _obj):base(_obj)
{
height=0;
}
//------------------------------------------------------------------
protected override object GetEmptyInstance(uint _degree)
{ return new AVLTree(); }
//------------------------------------------------------------------
protected int BalanceFactor()
{
if (this.IsEmpty() )
return 0;
return ((AVLTree)this.Left).height-((AVLTree)this.Right).height;
}
//调整高度
protected void AdjustHeight()
{
this.height=Math.Max(
((AVLTree)this.Left).height, ((AVLTree)this.Right).height)+1;
}
//平衡时的四种旋转方式
protected void LLRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
AVLTree avlB=new AVLTree(this.key);
avlB.AttachSubtree(1,(AVLTree)this[0][1]);
avlB.AttachSubtree(2,(AVLTree)this[1]);
this.key=this[0].Key;
this[0]=this[0][0];
this[1]=avlB;
//调整两个节点的高度
((AVLTree)this.Right).AdjustHeight();
this.AdjustHeight();
}
protected void LRRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
((AVLTree)this.Left).RRRotation();
this.LLRotation();
}
protected void RRRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
AVLTree avlB=new AVLTree(this.key);
avlB.AttachSubtree(1,(AVLTree)this[0]);
avlB.AttachSubtree(2,(AVLTree)this[1][0]);
this.key=this[1].Key;
this[0]=avlB;
this[1]=this[1][1];
//调整两个节点的高度
((AVLTree)this.Left).AdjustHeight();
this.AdjustHeight();
}
protected void RLRotation()
{
if( this.IsEmpty() )
throw new Exception("My:invalid operation!");
((AVLTree)this.Right).LLRotation();
this.RRRotation();
}
//---------------override--------------------
public override void AttachKey(object _obj)
{
if(!IsEmpty())
throw new Exception("My:this node must be a empty tree node!");
this.key=_obj;
//产生一个degree长的数组,并将其初始化为空树
this.treeList=new ArrayList();
this.treeList.Capacity=(int)this.degree;
for(int i=0;i<this.degree;i++)
{
treeList.Add(new AVLTree());
}
//
this.height=0;
}
//在改动树的结构后平衡树
public override void Balance()
{
this.AdjustHeight();
//大于1则说明不平衡
if( Math.Abs(this.BalanceFactor())>1)
{
if(this.BalanceFactor()>0)
{
if (((AVLTree)this.Left).BalanceFactor()>0)
this.LLRotation();
else
this.LRRotation();
}
else
{
if (((AVLTree)this.Right).BalanceFactor()<0)
this.RRRotation();
else
this.RLRotation();
}
}
}
public int Height{get{return this.height;}}
}
}
C#实现二叉树
using System;
using System.Collections;
namespace DataStructure
{
/// <summary>
/// BinaryTree 的摘要说明。
/// </summary>
public class BinaryTree:NaryTree
{
//构造二叉空树
public BinaryTree():base(2)
{
//
// TODO: 在此处添加构造函数逻辑
//
}
public BinaryTree(object _obj):base(2,_obj)
{
}
//------------------------------------------------------------------
protected override object GetEmptyInstance(uint _degree)
{
return new BinaryTree(_degree);
}
//------------------------------------------------------------------
//重写深度遍历
public override void DepthFirstTraversal(IPrePostVisitor _vis)
{
if ( !IsEmpty() )
{
_vis.PreVisit(this.Key);
this[0].DepthFirstTraversal(_vis);
_vis.Visit(this.Key);
this[1].DepthFirstTraversal(_vis);
_vis.PostVisit(this.Key);
}
}
//二叉树大小的比较
//先比较关键字,如果相等,再比较左子树,如果再相等,则比较右子树----如此递归
#region IComparable 成员
public override int CompareTo(object obj)
{
// TODO: 添加 BinaryTree.CompareTo 实现
//因为Comare()中已经进行了类型断定,故不会出现转型错误
BinaryTree tmpTree=(BinaryTree)obj;
if( this.IsEmpty() )
return tmpTree.IsEmpty()?0:-1;
if( tmpTree.IsEmpty() )
return 1;
int result=Comparer.Default.Compare(this,tmpTree);
if(result==0)
result=this[0].CompareTo(tmpTree[0]);
if(result==0)
result=this[1].CompareTo(tmpTree[1]);
return result;
}
#endregion
}
}
using System.Collections;
namespace DataStructure
{
/// <summary>
/// BinaryTree 的摘要说明。
/// </summary>
public class BinaryTree:NaryTree
{
//构造二叉空树
public BinaryTree():base(2)
{
//
// TODO: 在此处添加构造函数逻辑
//
}
public BinaryTree(object _obj):base(2,_obj)
{
}
//------------------------------------------------------------------
protected override object GetEmptyInstance(uint _degree)
{
return new BinaryTree(_degree);
}
//------------------------------------------------------------------
//重写深度遍历
public override void DepthFirstTraversal(IPrePostVisitor _vis)
{
if ( !IsEmpty() )
{
_vis.PreVisit(this.Key);
this[0].DepthFirstTraversal(_vis);
_vis.Visit(this.Key);
this[1].DepthFirstTraversal(_vis);
_vis.PostVisit(this.Key);
}
}
//二叉树大小的比较
//先比较关键字,如果相等,再比较左子树,如果再相等,则比较右子树----如此递归
#region IComparable 成员
public override int CompareTo(object obj)
{
// TODO: 添加 BinaryTree.CompareTo 实现
//因为Comare()中已经进行了类型断定,故不会出现转型错误
BinaryTree tmpTree=(BinaryTree)obj;
if( this.IsEmpty() )
return tmpTree.IsEmpty()?0:-1;
if( tmpTree.IsEmpty() )
return 1;
int result=Comparer.Default.Compare(this,tmpTree);
if(result==0)
result=this[0].CompareTo(tmpTree[0]);
if(result==0)
result=this[1].CompareTo(tmpTree[1]);
return result;
}
#endregion
}
}
C#希尔排序
using System;
namespace ShellSorter
{
public class ShellSorter
{
public void Sort(int [] list)
{
int inc;
for(inc=1;inc<=list.Length/9;inc=3*inc+1);
for(;inc>0;inc/=3)
{
for(int i=inc+1;i<=list.Length;i+=inc)
{
int t=list[i-1];
int j=i;
while((j>inc)&&(list[j-inc-1]>t))
{
list[j-1]=list[j-inc-1];
j-=inc;
}
list[j-1]=t;
}
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[]{1,5,13,6,10,55,99,2,87,12,34,75,33,47};
ShellSorter sh=new ShellSorter();
sh.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0} ",iArrary[m]);
Console.WriteLine();
}
}
}
namespace ShellSorter
{
public class ShellSorter
{
public void Sort(int [] list)
{
int inc;
for(inc=1;inc<=list.Length/9;inc=3*inc+1);
for(;inc>0;inc/=3)
{
for(int i=inc+1;i<=list.Length;i+=inc)
{
int t=list[i-1];
int j=i;
while((j>inc)&&(list[j-inc-1]>t))
{
list[j-1]=list[j-inc-1];
j-=inc;
}
list[j-1]=t;
}
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[]{1,5,13,6,10,55,99,2,87,12,34,75,33,47};
ShellSorter sh=new ShellSorter();
sh.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0} ",iArrary[m]);
Console.WriteLine();
}
}
}
C#实现插入排序
using System;
namespace InsertionSorter
{
public class InsertionSorter
{
public void Sort(int [] list)
{
for(int i=1;i<list.Length;i++)
{
int t=list[i];
int j=i;
while((j>0)&&(list[j-1]>t))
{
list[j]=list[j-1];
--j;
}
list[j]=t;
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[]{1,13,3,6,10,55,98,2,87,12,34,75,33,47};
InsertionSorter ii=new InsertionSorter();
ii.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0}",iArrary[m]);
Console.WriteLine();
}
}
}
namespace InsertionSorter
{
public class InsertionSorter
{
public void Sort(int [] list)
{
for(int i=1;i<list.Length;i++)
{
int t=list[i];
int j=i;
while((j>0)&&(list[j-1]>t))
{
list[j]=list[j-1];
--j;
}
list[j]=t;
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[]{1,13,3,6,10,55,98,2,87,12,34,75,33,47};
InsertionSorter ii=new InsertionSorter();
ii.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0}",iArrary[m]);
Console.WriteLine();
}
}
}
C#实现选择排序
using System;
namespace SelectionSorter
{
public class SelectionSorter
{
private int min;
public void Sort(int [] list)
{
for(int i=0;i<list.Length-1;i++)
{
min=i;
for(int j=i+1;j<list.Length;j++)
{
if(list[j]<list[min])
min=j;
}
int t=list[min];
list[min]=list[i];
list[i]=t;
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[]{1,5,3,6,10,55,9,2,87,12,34,75,33,47};
SelectionSorter ss=new SelectionSorter();
ss.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0} ",iArrary[m]);
Console.WriteLine();
}
}
}
namespace SelectionSorter
{
public class SelectionSorter
{
private int min;
public void Sort(int [] list)
{
for(int i=0;i<list.Length-1;i++)
{
min=i;
for(int j=i+1;j<list.Length;j++)
{
if(list[j]<list[min])
min=j;
}
int t=list[min];
list[min]=list[i];
list[i]=t;
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[]{1,5,3,6,10,55,9,2,87,12,34,75,33,47};
SelectionSorter ss=new SelectionSorter();
ss.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0} ",iArrary[m]);
Console.WriteLine();
}
}
}
C#实现冒泡排序
using System;
namespace BubbleSorter
{
public class BubbleSorter
{
public void Sort(int [] list)
{
int i,j,temp;
bool done=false;
j=1;
while((j<list.Length)&&(!done))
{
done=true;
for(i=0;i<list.Length-j;i++)
{
if(list[i]>list[i+1])
{
done=false;
temp=list[i];
list[i]=list[i+1];
list[i+1]=temp;
}
}
j++;
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[ ]{1,5,13,6,10,55,99,2,87,12,34,75,33,47};
BubbleSorter sh=new BubbleSorter();
sh.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0} ",iArrary[m]);
Console.WriteLine();
}
}
}
namespace BubbleSorter
{
public class BubbleSorter
{
public void Sort(int [] list)
{
int i,j,temp;
bool done=false;
j=1;
while((j<list.Length)&&(!done))
{
done=true;
for(i=0;i<list.Length-j;i++)
{
if(list[i]>list[i+1])
{
done=false;
temp=list[i];
list[i]=list[i+1];
list[i+1]=temp;
}
}
j++;
}
}
}
public class MainClass
{
public static void Main()
{
int[] iArrary=new int[ ]{1,5,13,6,10,55,99,2,87,12,34,75,33,47};
BubbleSorter sh=new BubbleSorter();
sh.Sort(iArrary);
for(int m=0;m<iArrary.Length;m++)
Console.Write("{0} ",iArrary[m]);
Console.WriteLine();
}
}
}