701. Insert into a Binary Search Tree

本文详细介绍了如何在二叉搜索树中插入一个新值,包括递归算法的实现过程。通过实例演示了插入后的二叉搜索树可能的形态变化。

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Given the root node of a binary search tree (BST) and a value to be inserted into the tree, insert the value into the BST. Return the root node of the BST after the insertion. It is guaranteed that the new value does not exist in the original BST.

Note that there may exist multiple valid ways for the insertion, as long as the tree remains a BST after insertion. You can return any of them.

For example, 

Given the tree:
        4
       / \
      2   7
     / \
    1   3
And the value to insert: 5

You can return this binary search tree:

         4
       /   \
      2     7
     / \   /
    1   3 5

This tree is also valid:

         5
       /   \
      2     7
     / \   
    1   3
         \
          4

二叉树插入,程序如下所示:

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public TreeNode insertIntoBST(TreeNode root, int val) {
        if (root == null){
            root = new TreeNode(val);
            return root;
        }
        if (root.val > val){
            root.left = insertIntoBST(root.left, val);
        }
        else {
            root.right = insertIntoBST(root.right, val);
        }
        return root;
    }
}

 

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