lintcode 在二叉查找树中插入节点

作者: yzawyx0220 | 来源:发表于2017-01-16 16:45 被阅读45次

    给定一棵二叉查找树和一个新的树节点,将节点插入到树中。
    你需要保证该树仍然是一棵二叉查找树。
    样例
    给出如下一棵二叉查找树,在插入节点6之后这棵二叉查找树可以是这样的:

      2             2
     / \           / \
    1   4   -->   1   4
       /             / \ 
      3             3   6
    

    题目链接:http://www.lintcode.com/zh-cn/problem/insert-node-in-a-binary-search-tree/
    二叉查找树的特点:根结点比它的左子树都大,比它的右子树都小,给出递归和非递归两种方法
    递归:

    /**
     * Definition of TreeNode:
     * class TreeNode {
     * public:
     *     int val;
     *     TreeNode *left, *right;
     *     TreeNode(int val) {
     *         this->val = val;
     *         this->left = this->right = NULL;
     *     }
     * }
     */
    class Solution {
    public:
        /**
         * @param root: The root of the binary search tree.
         * @param node: insert this node into the binary search tree
         * @return: The root of the new binary search tree.
         */
        TreeNode* insertNode(TreeNode* root, TreeNode* node) {
            // write your code here
            if (!root) return node;
            else if (node->val > root->val) root->right = insertNode(root->right,node);
            else root->left = insertNode(root->left,node);
            return root;
        }
    };
    

    非递归:

    /**
     * Definition of TreeNode:
     * class TreeNode {
     * public:
     *     int val;
     *     TreeNode *left, *right;
     *     TreeNode(int val) {
     *         this->val = val;
     *         this->left = this->right = NULL;
     *     }
     * }
     */
    class Solution {
    public:
        /**
         * @param root: The root of the binary search tree.
         * @param node: insert this node into the binary search tree
         * @return: The root of the new binary search tree.
         */
        TreeNode* insertNode(TreeNode* root, TreeNode* node) {
            // write your code here
            if (root == NULL) return node;
            TreeNode * head = root;
            while (root) {
                if (node->val < root->val) {
                    if (!root->left) {
                        root->left = node;
                        return head;
                    }
                    root = root->left;
                }
                else {
                    if (!root->right) {
                        root->right = node;
                        return head;
                    }
                    root = root->right;
                }
            }
            return head;
        }
    };
    

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