分形之二叉树（Binary Tree）

[Swift]LeetCode968.监控二叉树 | Binary Tree Cameras

Given a binary tree, we install cameras on the nodes of the tree. Each camera at a node can monitor its parent, itself, and its immediate children. Calculate the minimum number of cameras needed to monitor all nodes of the tree. Example 1: Input: [0,…

算法与数据结构基础 - 二叉树(Binary Tree)

二叉树基础满足这样性质的树称为二叉树:空树或节点最多有两个子树,称为左子树.右子树, 左右子树节点同样最多有两个子树. 二叉树是递归定义的,因而常用递归/DFS的思想处理二叉树相关问题,例如LeetCode题目 104. Maximum Depth of Binary Tree: // 104. Maximum Depth of Binary Tree int maxDepth(TreeNode* root) { ; +max(maxDepth(root->left),maxDepth(roo…

二叉树(Binary Tree)相关算法的实现

写在前面: 二叉树是比较简单的一种数据结构,理解并熟练掌握其相关算法对于复杂数据结构的学习大有裨益一.二叉树的创建 [不喜欢理论的点我跳过>>] 所谓的创建二叉树,其实就是让计算机去存储这个特殊的数据结构(特殊在哪里?特殊在它是我们自定义的) 首先,计算机内部存储都是线性的,而我们的树形结构是一种层级的,计算机显然无法理解,计算机能够接受的原始数据类型并不能满足我们的需求所以,只好自定义一种数据结构来表示层级关系实际上是要定义结构 + 操作,结构是为操作服务的,举个例子,我们要模拟买票的…

数据结构-二叉树(Binary Tree)

#include <stdio.h> #include <string.h> #include <stdlib.h> #define LIST_INIT_SIZE 10 #define LISTINCREMENT 100 #define STACK_INIT_SIZE 100 #define STACKINCREMENT 10 #define TRUE 1 #define FALSE 0 #define true 1 #define false 0 #define OK…

分形之二叉树（Binary Tree）

上一篇文章讲的是分形之树(Tree),这一篇中将其简化一下,来展示二叉分形树的生长过程. 核心代码: static void FractalBinaryTree(const Vector3& vStart, const Vector3& vEnd, Yreal angle, Yreal branch_c, Vector3* pVertices) { Vector3 vSub = vEnd - vStart; Yreal len = D3DXVec3Length(&vSub); Yr…

[数据结构]——二叉树（Binary Tree）、二叉搜索树（Binary Search Tree）及其衍生算法

二叉树(Binary Tree)是最简单的树形数据结构,然而却十分精妙.其衍生出各种算法,以致于占据了数据结构的半壁江山.STL中大名顶顶的关联容器--集合(set).映射(map)便是使用二叉树实现.由于篇幅有限,此处仅作一般介绍(如果想要完全了解二叉树以及其衍生出的各种算法,恐怕要写8~10篇). 1)二叉树(Binary Tree) 顾名思义,就是一个节点分出两个节点,称其为左右子节点:每个子节点又可以分出两个子节点,这样递归分叉,其形状很像一颗倒着的树.二叉树限制了每个节点最多有两个子节…

[LeetCode] Find Leaves of Binary Tree 找二叉树的叶节点

Given a binary tree, find all leaves and then remove those leaves. Then repeat the previous steps until the tree is empty. Example: Given binary tree 1 / \ 2 3 / \ 4 5 Returns [4, 5, 3], [2], [1]. Explanation: 1. Remove the leaves [4, 5, 3] from the…

[LeetCode] Verify Preorder Serialization of a Binary Tree 验证二叉树的先序序列化

One way to serialize a binary tree is to use pre-oder traversal. When we encounter a non-null node, we record the node's value. If it is a null node, we record using a sentinel value such as #. _9_ / \ 3 2 / \ / \ 4 1 # 6 / \ / \ / \ # # # # # # For…

[LeetCode] Binary Tree Vertical Order Traversal 二叉树的竖直遍历

Given a binary tree, return the vertical order traversal of its nodes' values. (ie, from top to bottom, column by column). If two nodes are in the same row and column, the order should be from left to right. Examples: Given binary tree [3,9,20,null,n…

[LeetCode] Binary Tree Longest Consecutive Sequence 二叉树最长连续序列

Given a binary tree, find the length of the longest consecutive sequence path. The path refers to any sequence of nodes from some starting node to any node in the tree along the parent-child connections. The longest consecutive path need to be from p…

[LeetCode] Serialize and Deserialize Binary Tree 二叉树的序列化和去序列化

Serialization is the process of converting a data structure or object into a sequence of bits so that it can be stored in a file or memory buffer, or transmitted across a network connection link to be reconstructed later in the same or another comput…

[LeetCode] Binary Tree Paths 二叉树路径

Given a binary tree, return all root-to-leaf paths. For example, given the following binary tree: 1 / \ 2 3 \ 5 All root-to-leaf paths are: ["1->2->5", "1->3"] 这道题给我们一个二叉树,让我们返回所有根到叶节点的路径,跟之前那道Path Sum II 二叉树路径之和之二很类似,比那道稍微简单一…

[LeetCode] Lowest Common Ancestor of a Binary Tree 二叉树的最小共同父节点

Given a binary tree, find the lowest common ancestor (LCA) of two given nodes in the tree. According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes v and w as the lowest node in T that has both v and w…

[LeetCode] Invert Binary Tree 翻转二叉树

Invert a binary tree. 4 / \ 2 7 / \ / \ 1 3 6 9 to 4 / \ 7 2 / \ / \ 9 6 3 1 Trivia: This problem was inspired by this original tweet by Max Howell: Google: 90% of our engineers use the software you wrote (Homebrew), but you can’t invert a binary tre…

[LeetCode] Binary Tree Right Side View 二叉树的右侧视图

Given a binary tree, imagine yourself standing on the right side of it, return the values of the nodes you can see ordered from top to bottom. For example:Given the following binary tree, 1 <--- / \ 2 3 <--- \ \ 5 4 <--- You should return [1, 3,…

[LeetCode] Binary Tree Upside Down 二叉树的上下颠倒

Given a binary tree where all the right nodes are either leaf nodes with a sibling (a left node that shares the same parent node) or empty, flip it upside down and turn it into a tree where the original right nodes turned into left leaf nodes. Return…

[LeetCode] Binary Tree Postorder Traversal 二叉树的后序遍历

Given a binary tree, return the postorder traversal of its nodes' values. For example: Given binary tree {1,#,2,3}, 1 \ 2 / 3 return [3,2,1]. Note: Recursive solution is trivial, could you do it iteratively? 经典题目,求二叉树的后序遍历的非递归方法,跟前序,中序,层序一样都需要用到栈,后续的…

[LeetCode] Binary Tree Maximum Path Sum 求二叉树的最大路径和

Given a binary tree, find the maximum path sum. The path may start and end at any node in the tree. For example:Given the below binary tree, 1 / \ 2 3 Return 6. 这道求二叉树的最大路径和是一道蛮有难度的题,难就难在起始位置和结束位置可以为任意位置,我当然是又不会了,于是上网看看大神们的解法,看了很多人的都没太看明白,最后发现了网友Yu's…

[LeetCode] Flatten Binary Tree to Linked List 将二叉树展开成链表

Given a binary tree, flatten it to a linked list in-place. For example,Given 1 / \ 2 5 / \ \ 3 4 6 The flattened tree should look like: 1 \ 2 \ 3 \ 4 \ 5 \ 6 click to show hints. Hints: If you notice carefully in the flattened tree, each node's right…

[LeetCode] Minimum Depth of Binary Tree 二叉树的最小深度

Given a binary tree, find its minimum depth. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node. 二叉树的经典问题之最小深度问题就是就最短路径的节点个数,还是用深度优先搜索DFS来完成,万能的递归啊...请看代码: /** * Definition for binary tre…

[LeetCode] Binary Tree Level Order Traversal II 二叉树层序遍历之二

Given a binary tree, return the bottom-up level order traversal of its nodes' values. (ie, from left to right, level by level from leaf to root). For example:Given binary tree {3,9,20,#,#,15,7}, 3 / \ 9 20 / \ 15 7 return its bottom-up level order tr…

[LeetCode] Construct Binary Tree from Inorder and Postorder Traversal 由中序和后序遍历建立二叉树

Given inorder and postorder traversal of a tree, construct the binary tree. Note: You may assume that duplicates do not exist in the tree. 这道题要求从中序和后序遍历的结果来重建原二叉树,我们知道中序的遍历顺序是左-根-右,后序的顺序是左-右-根,对于这种树的重建一般都是采用递归来做,可参见我之前的一篇博客Convert Sorted Array to Bin…

[LeetCode] Construct Binary Tree from Preorder and Inorder Traversal 由先序和中序遍历建立二叉树

Given preorder and inorder traversal of a tree, construct the binary tree. Note:You may assume that duplicates do not exist in the tree. 这道题要求用先序和中序遍历来建立二叉树,跟之前那道Construct Binary Tree from Inorder and Postorder Traversal 由中序和后序遍历建立二叉树原理基本相同,针对这道题,由于先…

[LeetCode] Maximum Depth of Binary Tree 二叉树的最大深度

Given a binary tree, find its maximum depth. The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node. 求二叉树的最大深度问题用到深度优先搜索DFS,递归的完美应用,跟求二叉树的最小深度问题原理相同.代码如下: C++ 解法一: class Solution { public: in…

[LeetCode] Binary Tree Zigzag Level Order Traversal 二叉树的之字形层序遍历

Given a binary tree, return the zigzag level order traversal of its nodes' values. (ie, from left to right, then right to left for the next level and alternate between). For example:Given binary tree {3,9,20,#,#,15,7}, 3 / \ 9 20 / \ 15 7 return its…

[LeetCode] Binary Tree Level Order Traversal 二叉树层序遍历

Given a binary tree, return the level order traversal of its nodes' values. (ie, from left to right, level by level). For example:Given binary tree {3,9,20,#,#,15,7}, 3 / \ 9 20 / \ 15 7 return its level order traversal as: [ [3], [9,20], [15,7] ] 层序…

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