0450.删除二叉搜索树中的节点
题目大意
给定一棵二叉搜索树和目标值,删除二叉树中值和目标值相等的节点
思路与代码
递归
/**
* Definition for a binary tree node.
* function TreeNode(val, left, right) {
* this.val = (val===undefined ? 0 : val)
* this.left = (left===undefined ? null : left)
* this.right = (right===undefined ? null : right)
* }
*/
/**
* @param {TreeNode} root
* @param {number} key
* @return {TreeNode}
*/
var deleteNode = function (root, key) {
if (!root) return root;
if (key < root.val) {
root.left = deleteNode(root.left, key);
return root;
}
if (key > root.val) {
root.right = deleteNode(root.right, key);
return root;
}
if (!root.left && !root.right) return null;
if (!root.left) return root.right;
if (!root.right) return root.left;
let successor = root.right;
while (successor.left) {
successor = successor.left;
}
root.right = deleteNode(root.right, successor.val);
successor.left = root.left;
successor.right = root.right;
return successor;
};空间复杂度:O(n)
时间复杂度:O(n)
迭代
/**
* Definition for a binary tree node.
* function TreeNode(val, left, right) {
* this.val = (val===undefined ? 0 : val)
* this.left = (left===undefined ? null : left)
* this.right = (right===undefined ? null : right)
* }
*/
/**
* @param {TreeNode} root
* @param {number} key
* @return {TreeNode}
*/
var deleteNode = function (root, key) {
let cur = root;
let curParent = null;
while (cur && cur.val !== key) {
curParent = cur;
if (key < cur.val) {
cur = cur.left;
} else {
cur = cur.right;
}
}
if (!cur) return root;
if (!cur.left && !cur.right) {
cur = null;
} else if (!cur.left) {
cur = cur.right;
} else if (!cur.right) {
cur = cur.left;
} else {
let successorParent = cur;
let successor = cur.right;
while (successor.left) {
successorParent = successor;
successor = successor.left;
}
if (successorParent === cur) {
successorParent.right = successor.right;
} else {
successorParent.left = successor.right;
}
successor.left = cur.left;
successor.right = cur.right;
cur = successor;
}
if (!curParent) return cur;
if (curParent.left && curParent.left.val === key) {
curParent.left = cur;
} else {
curParent.right = cur;
}
return root;
};空间复杂度:O(1)
时间复杂度:O(n)
