Delete Node in a BST
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Given a root node reference of a BST and a key, delete the node with the given key in the BST. Return the root node reference (possibly updated) of the BST.
Basically, the deletion can be divided into two stages:
- Search for a node to remove.
- If the node is found, delete the node.
Note: Time complexity should be O(height of tree).
Example:
root = [5,3,6,2,4,null,7]key = 3 5 / \ 3 6 / \ \2 4 7Given key to delete is 3. So we find the node with value 3 and delete it.One valid answer is [5,4,6,2,null,null,7], shown in the following BST. 5 / \ 4 6 / \2 7Another valid answer is [5,2,6,null,4,null,7]. 5 / \ 2 6 \ \4 7
Java代码:
/** * Definition for a binary tree node. * public class TreeNode { * int val; * TreeNode left; * TreeNode right; * TreeNode(int x) { val = x; } * } */public class Solution { public TreeNode deleteNode(TreeNode root, int key) { if(root==null)return null; if(root.val>key)root.left=deleteNode(root.left,key); else if(root.val<key)root.right=deleteNode(root.right,key); else{ if(root.left==null)return root.right; else if(root.right==null)return root.left; root.val=findmin(root); } return root; }public int findmin(TreeNode root){TreeNode pre=root;TreeNode nex=root.right;while(nex.left!=null){pre=nex;nex=nex.left;}if(root==pre)pre.right=nex.right;else pre.left=nex.right;return nex.val;}}
空间复杂度:O(N)
时间复杂度:O(N)
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