From 3ea057798d06e54f5b7f938e4e4d530f33761dbd Mon Sep 17 00:00:00 2001 From: SunnyQjm Date: Thu, 7 May 2020 22:53:15 +0800 Subject: [PATCH] add: homework9 --- .../image-20200423115932875.png | Bin 0 -> 18875 bytes .../image-20200423211525664.png | Bin 0 -> 19538 bytes .../image-20200423221735514.png | Bin 0 -> 25949 bytes .../image-20200507221022918.png | Bin 0 -> 25135 bytes .../image-20200507222442113.png | Bin 0 -> 26330 bytes .../image-20200507225110291.png | Bin 0 -> 26076 bytes AlgorithmHomework9.md | 130 ++++++++++++++++++ README.md | 1 + 8 files changed, 131 insertions(+) create mode 100644 AlgorithmHomework9.assets/image-20200423115932875.png create mode 100644 AlgorithmHomework9.assets/image-20200423211525664.png create mode 100644 AlgorithmHomework9.assets/image-20200423221735514.png create mode 100644 AlgorithmHomework9.assets/image-20200507221022918.png create mode 100644 AlgorithmHomework9.assets/image-20200507222442113.png create mode 100644 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**Leetcode提交结果:** + + ![image-20200507221022918](AlgorithmHomework9.assets/image-20200507221022918.png) + + - **代码:** + + ```python + class Solution(object): + def lowestCommonAncestor(self, root, p, q): + """ + :type root: TreeNode + :type p: TreeNode + :type q: TreeNode + :rtype: TreeNode + """ + + def preOrderTraversal(root, left, right): + if root is None or (left.val <= root.val <= right.val): + return root + + leftResult = preOrderTraversal(root.left, left, right) + rightResult = preOrderTraversal(root.right, left, right) + return leftResult if leftResult is not None else rightResult + + left = p if p.val < q.val else q + right = p if p.val >= q.val else q + return preOrderTraversal(root, left, right) + ``` + +- ### Leetcode problem 110 + + > [平衡二叉树](https://leetcode-cn.com/problems/balanced-binary-tree/) + + - **算法思路:** + + 1. 直接递归计算每个节点左右子树的高度; + 2. 根据AVL树的特性,如果任意一个节点的左右子树的高度差大于一,则该树不是AVL树,标记器高度为-1; + 3. 如果某个子树的高度计算为-1,则表示该子树不是AVL树,-1会一直传递到顶层。 + + - **Leetcode提交结果:** + + ![image-20200507222442113](AlgorithmHomework9.assets/image-20200507222442113.png) + + - **代码:** + + ```python + class Solution(object): + def isBalanced(self, root): + """ + :type root: TreeNode + :rtype: bool + """ + def preOrderTraversal(root): + if root is None: + return 0 + leftNum = preOrderTraversal(root.left) + rightNum = preOrderTraversal(root.right) + if leftNum == -1 or rightNum == -1 or abs(leftNum - rightNum) > 1: + return -1 + return 1 + max(leftNum, rightNum) + + return preOrderTraversal(root) != -1 + ``` + +- ### Leetcode problem 729 + + > [二叉树的所有路径](https://leetcode-cn.com/problems/binary-tree-paths/) + + - **算法思路:** + + 1. 直接使用递归进行深度搜索; + 2. 一旦检索到一个叶子节点,就将当前遍历的路径添加到结果当中。 + +- **Leetcode提交结果:** + + ![image-20200507225110291](AlgorithmHomework9.assets/image-20200507225110291.png) + +- **代码:** + + ```python + class Solution(object): + def binaryTreePaths(self, root): + """ + :type root: TreeNode + :rtype: List[str] + """ + + def preOrderTraversal(root, s, list): + if root is None: + return + if root.left is None and root.right is None: + list.append(s + "->" + str(root.val)) + preOrderTraversal(root.left, s + "->" + str(root.val), list) + preOrderTraversal(root.right, s + "->" + str(root.val), list) + + if root is None: + return [] + if root.left is None and root.right is None: + return [str(root.val)] + s = str(root.val) + list = [] + + preOrderTraversal(root.left, s, list) + preOrderTraversal(root.right, s, list) + return list + ``` + + \ No newline at end of file diff --git a/README.md b/README.md index ba7b450..2ca4e39 100755 --- a/README.md +++ b/README.md @@ -8,4 +8,5 @@ - [第六次作业](AlgorithmHomework6.md) - [第七次作业](AlgorithmHomework7.md) - [第八次作业](AlgorithmHomework8.md) +- [第九次作业](AlgorithmHomework9.md)