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检查树是否是二叉搜索树

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检查树是否是二叉搜索树

方法一次只能做一件事。同样,您做事的方式通常也很奇怪。我将给您一些 几乎是Java的伪代码
。抱歉,但是我有一段时间没有接触Java了。希望对您有所帮助。看看我对这个问题也发表的评论,希望您能解决!

像这样调用您的isBST:

public boolean isBst(BNode node){    return isBinarySearchTree(node , Integer.MIN_VALUE , Integer.MIN_VALUE);}

内部:

public boolean isBinarySearchTree(BNode node , int min , int max){    if(node.data < min || node.data > max)        return false;    //Check this node!    //This algorithm doesn't recurse with null Arguments.    //When a null is found the method returns true;    //Look and you will find out.        boolean leftIsBst = false;    //If the Left Node Exists    if(node.left != null)    {        //and the Left Data are Smaller than the Node Data        if(node.left.data < node.data)        { //Check if the subtree is Valid as well leftIsBst = isBinarySearchTree(node.left , min , node.data);        }else        { //Else if the Left data are Bigger return false; leftIsBst = false;        }    }else //if the Left Node Doesn't Exist return true;    {        leftIsBst = true;    }        boolean rightIsBst = false;    //If the Right Node Exists    if(node.right != null)    {        //and the Right Data are Bigger (or Equal) than the Node Data        if(node.right.data >= node.data)        { //Check if the subtree is Valid as well rightIsBst = isBinarySearchTree(node.right , node.data+1 , max);        }else        { //Else if the Right data are Smaller return false; rightIsBst = false;        }    }else //if the Right Node Doesn't Exist return true;    {        rightIsBst = true;    }    //if both are true then this means that subtrees are BST too    return (leftIsBst && rightIsBst);}

现在:如果要查找每个子树的

Min
Max
值,则应使用容器(我使用
ArrayList
),并存储一个
Node, Min,Max
表示根节点和值的三元组(显然)。

例如。

class Treevalues{    BNode root; //Which node those values apply for    int Min;    int Max;    Treevalues(BNode _node , _min , _max)    {        root = _node;        Min = _min;        Max = _max;    }}

还有一个:

ArrayList<Treevalues> myValues = new ArrayList<Treevalues>;

现在,这是一种查找给定节点的

Min
Max
值的方法:

 public Treevalues GetSubTreevalues(BNode node){    //Keep information on the data of the Subtree's Startnode    //We gonna need it later    BNode SubtreeRoot = node;    //The Min value of a BST Tree exists in the leftmost child    //and the Max in the RightMost child    int MinValue = 0;    //If there is not a Left Child    if(node.left == null)    {        //The Min Value is this node's data        MinValue = node.data;    }else    {        //Get me the Leftmost Child        while(node.left != null)        { node = node.left;        }        MinValue = node.data;    }    //Reset the node to original value    node = SubtreeRoot; //Edit - fix    //Similarly for the Right Child.    if(node.right == null)    {        MaxValue = node.data;    }else    {        int MaxValue = 0;        //Similarly        while(node.right != null)        { node = node.right;        }        MaxValue = node.data;    }    //Return the info.    return new Treevalues(SubtreeRoot , MinValue , MaxValue);   }

但这仅返回一个节点的值,因此我们将使用它来查找整棵树:

public void GetTreevalues(BNode node){    //Add this node to the Container with Tree Data     myValues.add(GetSubTreevalues(node));    //Get Left Child Values, if it exists ...    if(node.left != null)        GetTreevalues(node.left);    //Similarly.    if(node.right != null)        GetTreevalues(node.right);    //Nothing is returned, we put everything to the myValues container    return; }

使用这种方法,您的通话应该看起来像

if(isBinarySearchTree(root))    GetTreevalues(root);//else ... Do Something

这几乎是Java。它应该可以进行一些修改和修复。找到一本很好的面向对象的书,它将对您有所帮助。注意,该解决方案可以分解为更多方法。



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