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https://github.com/krahets/hello-algo.git
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fix(csharp): Modify method name to PascalCase, simplify new expression (#840)
* Modify method name to PascalCase(array and linked list) * Modify method name to PascalCase(backtracking) * Modify method name to PascalCase(computational complexity) * Modify method name to PascalCase(divide and conquer) * Modify method name to PascalCase(dynamic programming) * Modify method name to PascalCase(graph) * Modify method name to PascalCase(greedy) * Modify method name to PascalCase(hashing) * Modify method name to PascalCase(heap) * Modify method name to PascalCase(searching) * Modify method name to PascalCase(sorting) * Modify method name to PascalCase(stack and queue) * Modify method name to PascalCase(tree) * local check
This commit is contained in:
@@ -8,7 +8,7 @@ namespace hello_algo.chapter_tree;
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/* 数组表示下的二叉树类 */
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public class ArrayBinaryTree {
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private List<int?> tree;
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private readonly List<int?> tree;
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/* 构造方法 */
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public ArrayBinaryTree(List<int?> arr) {
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@@ -16,80 +16,80 @@ public class ArrayBinaryTree {
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}
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/* 节点数量 */
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public int size() {
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public int Size() {
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return tree.Count;
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}
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/* 获取索引为 i 节点的值 */
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public int? val(int i) {
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public int? Val(int i) {
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// 若索引越界,则返回 null ,代表空位
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if (i < 0 || i >= size())
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if (i < 0 || i >= Size())
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return null;
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return tree[i];
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}
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/* 获取索引为 i 节点的左子节点的索引 */
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public int left(int i) {
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public int Left(int i) {
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return 2 * i + 1;
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}
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/* 获取索引为 i 节点的右子节点的索引 */
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public int right(int i) {
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public int Right(int i) {
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return 2 * i + 2;
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}
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/* 获取索引为 i 节点的父节点的索引 */
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public int parent(int i) {
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public int Parent(int i) {
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return (i - 1) / 2;
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}
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/* 层序遍历 */
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public List<int> levelOrder() {
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List<int> res = new List<int>();
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public List<int> LevelOrder() {
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List<int> res = new();
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// 直接遍历数组
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for (int i = 0; i < size(); i++) {
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if (val(i).HasValue)
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res.Add(val(i).Value);
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for (int i = 0; i < Size(); i++) {
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if (Val(i).HasValue)
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res.Add(Val(i).Value);
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}
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return res;
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}
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/* 深度优先遍历 */
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private void dfs(int i, string order, List<int> res) {
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private void Dfs(int i, string order, List<int> res) {
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// 若为空位,则返回
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if (!val(i).HasValue)
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if (!Val(i).HasValue)
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return;
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// 前序遍历
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if (order == "pre")
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res.Add(val(i).Value);
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dfs(left(i), order, res);
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res.Add(Val(i).Value);
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Dfs(Left(i), order, res);
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// 中序遍历
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if (order == "in")
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res.Add(val(i).Value);
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dfs(right(i), order, res);
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res.Add(Val(i).Value);
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Dfs(Right(i), order, res);
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// 后序遍历
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if (order == "post")
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res.Add(val(i).Value);
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res.Add(Val(i).Value);
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}
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/* 前序遍历 */
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public List<int> preOrder() {
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List<int> res = new List<int>();
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dfs(0, "pre", res);
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public List<int> PreOrder() {
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List<int> res = new();
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Dfs(0, "pre", res);
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return res;
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}
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/* 中序遍历 */
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public List<int> inOrder() {
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List<int> res = new List<int>();
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dfs(0, "in", res);
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public List<int> InOrder() {
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List<int> res = new();
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Dfs(0, "in", res);
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return res;
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}
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/* 后序遍历 */
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public List<int> postOrder() {
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List<int> res = new List<int>();
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dfs(0, "post", res);
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public List<int> PostOrder() {
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List<int> res = new();
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Dfs(0, "post", res);
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return res;
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}
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}
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@@ -99,7 +99,7 @@ public class array_binary_tree {
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public void Test() {
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// 初始化二叉树
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// 这里借助了一个从数组直接生成二叉树的函数
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List<int?> arr = new List<int?> { 1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15 };
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List<int?> arr = new() { 1, 2, 3, 4, null, 6, 7, 8, 9, null, null, 12, null, null, 15 };
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TreeNode root = TreeNode.ListToTree(arr);
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Console.WriteLine("\n初始化二叉树\n");
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@@ -109,26 +109,26 @@ public class array_binary_tree {
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PrintUtil.PrintTree(root);
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// 数组表示下的二叉树类
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ArrayBinaryTree abt = new ArrayBinaryTree(arr);
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ArrayBinaryTree abt = new(arr);
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// 访问节点
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int i = 1;
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int l = abt.left(i);
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int r = abt.right(i);
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int p = abt.parent(i);
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Console.WriteLine("\n当前节点的索引为 " + i + " ,值为 " + abt.val(i));
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Console.WriteLine("其左子节点的索引为 " + l + " ,值为 " + (abt.val(l).HasValue ? abt.val(l) : "null"));
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Console.WriteLine("其右子节点的索引为 " + r + " ,值为 " + (abt.val(r).HasValue ? abt.val(r) : "null"));
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Console.WriteLine("其父节点的索引为 " + p + " ,值为 " + (abt.val(p).HasValue ? abt.val(p) : "null"));
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int l = abt.Left(i);
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int r = abt.Right(i);
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int p = abt.Parent(i);
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Console.WriteLine("\n当前节点的索引为 " + i + " ,值为 " + abt.Val(i));
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Console.WriteLine("其左子节点的索引为 " + l + " ,值为 " + (abt.Val(l).HasValue ? abt.Val(l) : "null"));
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Console.WriteLine("其右子节点的索引为 " + r + " ,值为 " + (abt.Val(r).HasValue ? abt.Val(r) : "null"));
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Console.WriteLine("其父节点的索引为 " + p + " ,值为 " + (abt.Val(p).HasValue ? abt.Val(p) : "null"));
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// 遍历树
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List<int> res = abt.levelOrder();
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List<int> res = abt.LevelOrder();
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Console.WriteLine("\n层序遍历为:" + res.PrintList());
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res = abt.preOrder();
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res = abt.PreOrder();
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Console.WriteLine("前序遍历为:" + res.PrintList());
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res = abt.inOrder();
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res = abt.InOrder();
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Console.WriteLine("中序遍历为:" + res.PrintList());
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res = abt.postOrder();
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res = abt.PostOrder();
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Console.WriteLine("后序遍历为:" + res.PrintList());
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}
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}
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@@ -11,77 +11,77 @@ class AVLTree {
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public TreeNode? root; // 根节点
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/* 获取节点高度 */
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public int height(TreeNode? node) {
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public int Height(TreeNode? node) {
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// 空节点高度为 -1 ,叶节点高度为 0
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return node == null ? -1 : node.height;
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}
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/* 更新节点高度 */
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private void updateHeight(TreeNode node) {
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private void UpdateHeight(TreeNode node) {
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// 节点高度等于最高子树高度 + 1
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node.height = Math.Max(height(node.left), height(node.right)) + 1;
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node.height = Math.Max(Height(node.left), Height(node.right)) + 1;
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}
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/* 获取平衡因子 */
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public int balanceFactor(TreeNode? node) {
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public int BalanceFactor(TreeNode? node) {
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// 空节点平衡因子为 0
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if (node == null) return 0;
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// 节点平衡因子 = 左子树高度 - 右子树高度
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return height(node.left) - height(node.right);
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return Height(node.left) - Height(node.right);
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}
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/* 右旋操作 */
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TreeNode? rightRotate(TreeNode? node) {
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TreeNode? RightRotate(TreeNode? node) {
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TreeNode? child = node.left;
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TreeNode? grandChild = child?.right;
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// 以 child 为原点,将 node 向右旋转
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child.right = node;
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node.left = grandChild;
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// 更新节点高度
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updateHeight(node);
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updateHeight(child);
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UpdateHeight(node);
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UpdateHeight(child);
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// 返回旋转后子树的根节点
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return child;
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}
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/* 左旋操作 */
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TreeNode? leftRotate(TreeNode? node) {
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TreeNode? LeftRotate(TreeNode? node) {
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TreeNode? child = node.right;
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TreeNode? grandChild = child?.left;
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// 以 child 为原点,将 node 向左旋转
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child.left = node;
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node.right = grandChild;
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// 更新节点高度
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updateHeight(node);
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updateHeight(child);
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UpdateHeight(node);
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UpdateHeight(child);
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// 返回旋转后子树的根节点
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return child;
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}
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/* 执行旋转操作,使该子树重新恢复平衡 */
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TreeNode? rotate(TreeNode? node) {
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TreeNode? Rotate(TreeNode? node) {
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// 获取节点 node 的平衡因子
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int balanceFactorInt = balanceFactor(node);
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int balanceFactorInt = BalanceFactor(node);
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// 左偏树
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if (balanceFactorInt > 1) {
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if (balanceFactor(node.left) >= 0) {
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if (BalanceFactor(node.left) >= 0) {
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// 右旋
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return rightRotate(node);
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return RightRotate(node);
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} else {
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// 先左旋后右旋
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node.left = leftRotate(node?.left);
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return rightRotate(node);
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node.left = LeftRotate(node?.left);
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return RightRotate(node);
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}
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}
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// 右偏树
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if (balanceFactorInt < -1) {
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if (balanceFactor(node.right) <= 0) {
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if (BalanceFactor(node.right) <= 0) {
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// 左旋
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return leftRotate(node);
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return LeftRotate(node);
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} else {
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// 先右旋后左旋
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node.right = rightRotate(node?.right);
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return leftRotate(node);
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node.right = RightRotate(node?.right);
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return LeftRotate(node);
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}
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}
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// 平衡树,无须旋转,直接返回
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@@ -89,43 +89,43 @@ class AVLTree {
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}
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/* 插入节点 */
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public void insert(int val) {
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root = insertHelper(root, val);
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public void Insert(int val) {
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root = InsertHelper(root, val);
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}
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/* 递归插入节点(辅助方法) */
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private TreeNode? insertHelper(TreeNode? node, int val) {
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private TreeNode? InsertHelper(TreeNode? node, int val) {
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if (node == null) return new TreeNode(val);
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/* 1. 查找插入位置,并插入节点 */
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if (val < node.val)
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node.left = insertHelper(node.left, val);
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node.left = InsertHelper(node.left, val);
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else if (val > node.val)
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node.right = insertHelper(node.right, val);
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node.right = InsertHelper(node.right, val);
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else
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return node; // 重复节点不插入,直接返回
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updateHeight(node); // 更新节点高度
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UpdateHeight(node); // 更新节点高度
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/* 2. 执行旋转操作,使该子树重新恢复平衡 */
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node = rotate(node);
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node = Rotate(node);
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// 返回子树的根节点
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return node;
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}
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/* 删除节点 */
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public void remove(int val) {
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root = removeHelper(root, val);
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public void Remove(int val) {
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root = RemoveHelper(root, val);
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}
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/* 递归删除节点(辅助方法) */
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private TreeNode? removeHelper(TreeNode? node, int val) {
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private TreeNode? RemoveHelper(TreeNode? node, int val) {
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if (node == null) return null;
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/* 1. 查找节点,并删除之 */
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if (val < node.val)
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node.left = removeHelper(node.left, val);
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node.left = RemoveHelper(node.left, val);
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else if (val > node.val)
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node.right = removeHelper(node.right, val);
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node.right = RemoveHelper(node.right, val);
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else {
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if (node.left == null || node.right == null) {
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TreeNode? child = node.left != null ? node.left : node.right;
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TreeNode? child = node.left ?? node.right;
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// 子节点数量 = 0 ,直接删除 node 并返回
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if (child == null)
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return null;
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@@ -138,19 +138,19 @@ class AVLTree {
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while (temp.left != null) {
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temp = temp.left;
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}
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node.right = removeHelper(node.right, temp.val);
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node.right = RemoveHelper(node.right, temp.val);
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node.val = temp.val;
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}
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}
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updateHeight(node); // 更新节点高度
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UpdateHeight(node); // 更新节点高度
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/* 2. 执行旋转操作,使该子树重新恢复平衡 */
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node = rotate(node);
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node = Rotate(node);
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// 返回子树的根节点
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return node;
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}
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/* 查找节点 */
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public TreeNode? search(int val) {
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public TreeNode? Search(int val) {
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TreeNode? cur = root;
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// 循环查找,越过叶节点后跳出
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while (cur != null) {
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@@ -170,14 +170,14 @@ class AVLTree {
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}
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public class avl_tree {
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static void testInsert(AVLTree tree, int val) {
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tree.insert(val);
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static void TestInsert(AVLTree tree, int val) {
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tree.Insert(val);
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Console.WriteLine("\n插入节点 " + val + " 后,AVL 树为");
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PrintUtil.PrintTree(tree.root);
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}
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static void testRemove(AVLTree tree, int val) {
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tree.remove(val);
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static void TestRemove(AVLTree tree, int val) {
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tree.Remove(val);
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Console.WriteLine("\n删除节点 " + val + " 后,AVL 树为");
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PrintUtil.PrintTree(tree.root);
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}
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@@ -185,32 +185,32 @@ public class avl_tree {
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[Test]
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public void Test() {
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/* 初始化空 AVL 树 */
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AVLTree avlTree = new AVLTree();
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AVLTree avlTree = new();
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/* 插入节点 */
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// 请关注插入节点后,AVL 树是如何保持平衡的
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testInsert(avlTree, 1);
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testInsert(avlTree, 2);
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testInsert(avlTree, 3);
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testInsert(avlTree, 4);
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testInsert(avlTree, 5);
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testInsert(avlTree, 8);
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testInsert(avlTree, 7);
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testInsert(avlTree, 9);
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testInsert(avlTree, 10);
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testInsert(avlTree, 6);
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TestInsert(avlTree, 1);
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TestInsert(avlTree, 2);
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TestInsert(avlTree, 3);
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TestInsert(avlTree, 4);
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TestInsert(avlTree, 5);
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TestInsert(avlTree, 8);
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TestInsert(avlTree, 7);
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TestInsert(avlTree, 9);
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TestInsert(avlTree, 10);
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TestInsert(avlTree, 6);
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/* 插入重复节点 */
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testInsert(avlTree, 7);
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TestInsert(avlTree, 7);
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/* 删除节点 */
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// 请关注删除节点后,AVL 树是如何保持平衡的
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testRemove(avlTree, 8); // 删除度为 0 的节点
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testRemove(avlTree, 5); // 删除度为 1 的节点
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testRemove(avlTree, 4); // 删除度为 2 的节点
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TestRemove(avlTree, 8); // 删除度为 0 的节点
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TestRemove(avlTree, 5); // 删除度为 1 的节点
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TestRemove(avlTree, 4); // 删除度为 2 的节点
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/* 查询节点 */
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TreeNode? node = avlTree.search(7);
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TreeNode? node = avlTree.Search(7);
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Console.WriteLine("\n查找到的节点对象为 " + node + ",节点值 = " + node?.val);
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}
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}
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@@ -15,12 +15,12 @@ class BinarySearchTree {
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}
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/* 获取二叉树根节点 */
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public TreeNode? getRoot() {
|
||||
public TreeNode? GetRoot() {
|
||||
return root;
|
||||
}
|
||||
|
||||
/* 查找节点 */
|
||||
public TreeNode? search(int num) {
|
||||
public TreeNode? Search(int num) {
|
||||
TreeNode? cur = root;
|
||||
// 循环查找,越过叶节点后跳出
|
||||
while (cur != null) {
|
||||
@@ -39,7 +39,7 @@ class BinarySearchTree {
|
||||
}
|
||||
|
||||
/* 插入节点 */
|
||||
public void insert(int num) {
|
||||
public void Insert(int num) {
|
||||
// 若树为空,则初始化根节点
|
||||
if (root == null) {
|
||||
root = new TreeNode(num);
|
||||
@@ -61,7 +61,7 @@ class BinarySearchTree {
|
||||
}
|
||||
|
||||
// 插入节点
|
||||
TreeNode node = new TreeNode(num);
|
||||
TreeNode node = new(num);
|
||||
if (pre != null) {
|
||||
if (pre.val < num)
|
||||
pre.right = node;
|
||||
@@ -72,7 +72,7 @@ class BinarySearchTree {
|
||||
|
||||
|
||||
/* 删除节点 */
|
||||
public void remove(int num) {
|
||||
public void Remove(int num) {
|
||||
// 若树为空,直接提前返回
|
||||
if (root == null)
|
||||
return;
|
||||
@@ -96,7 +96,7 @@ class BinarySearchTree {
|
||||
// 子节点数量 = 0 or 1
|
||||
if (cur.left == null || cur.right == null) {
|
||||
// 当子节点数量 = 0 / 1 时, child = null / 该子节点
|
||||
TreeNode? child = cur.left != null ? cur.left : cur.right;
|
||||
TreeNode? child = cur.left ?? cur.right;
|
||||
// 删除节点 cur
|
||||
if (cur != root) {
|
||||
if (pre.left == cur)
|
||||
@@ -116,7 +116,7 @@ class BinarySearchTree {
|
||||
tmp = tmp.left;
|
||||
}
|
||||
// 递归删除节点 tmp
|
||||
remove(tmp.val);
|
||||
Remove(tmp.val);
|
||||
// 用 tmp 覆盖 cur
|
||||
cur.val = tmp.val;
|
||||
}
|
||||
@@ -127,34 +127,34 @@ public class binary_search_tree {
|
||||
[Test]
|
||||
public void Test() {
|
||||
/* 初始化二叉搜索树 */
|
||||
BinarySearchTree bst = new BinarySearchTree();
|
||||
BinarySearchTree bst = new();
|
||||
// 请注意,不同的插入顺序会生成不同的二叉树,该序列可以生成一个完美二叉树
|
||||
int[] nums = { 8, 4, 12, 2, 6, 10, 14, 1, 3, 5, 7, 9, 11, 13, 15 };
|
||||
foreach (int num in nums) {
|
||||
bst.insert(num);
|
||||
bst.Insert(num);
|
||||
}
|
||||
|
||||
Console.WriteLine("\n初始化的二叉树为\n");
|
||||
PrintUtil.PrintTree(bst.getRoot());
|
||||
PrintUtil.PrintTree(bst.GetRoot());
|
||||
|
||||
/* 查找节点 */
|
||||
TreeNode? node = bst.search(7);
|
||||
TreeNode? node = bst.Search(7);
|
||||
Console.WriteLine("\n查找到的节点对象为 " + node + ",节点值 = " + node.val);
|
||||
|
||||
/* 插入节点 */
|
||||
bst.insert(16);
|
||||
bst.Insert(16);
|
||||
Console.WriteLine("\n插入节点 16 后,二叉树为\n");
|
||||
PrintUtil.PrintTree(bst.getRoot());
|
||||
PrintUtil.PrintTree(bst.GetRoot());
|
||||
|
||||
/* 删除节点 */
|
||||
bst.remove(1);
|
||||
bst.Remove(1);
|
||||
Console.WriteLine("\n删除节点 1 后,二叉树为\n");
|
||||
PrintUtil.PrintTree(bst.getRoot());
|
||||
bst.remove(2);
|
||||
PrintUtil.PrintTree(bst.GetRoot());
|
||||
bst.Remove(2);
|
||||
Console.WriteLine("\n删除节点 2 后,二叉树为\n");
|
||||
PrintUtil.PrintTree(bst.getRoot());
|
||||
bst.remove(4);
|
||||
PrintUtil.PrintTree(bst.GetRoot());
|
||||
bst.Remove(4);
|
||||
Console.WriteLine("\n删除节点 4 后,二叉树为\n");
|
||||
PrintUtil.PrintTree(bst.getRoot());
|
||||
PrintUtil.PrintTree(bst.GetRoot());
|
||||
}
|
||||
}
|
||||
|
||||
@@ -11,11 +11,11 @@ public class binary_tree {
|
||||
public void Test() {
|
||||
/* 初始化二叉树 */
|
||||
// 初始化节点
|
||||
TreeNode n1 = new TreeNode(1);
|
||||
TreeNode n2 = new TreeNode(2);
|
||||
TreeNode n3 = new TreeNode(3);
|
||||
TreeNode n4 = new TreeNode(4);
|
||||
TreeNode n5 = new TreeNode(5);
|
||||
TreeNode n1 = new(1);
|
||||
TreeNode n2 = new(2);
|
||||
TreeNode n3 = new(3);
|
||||
TreeNode n4 = new(4);
|
||||
TreeNode n5 = new(5);
|
||||
// 构建引用指向(即指针)
|
||||
n1.left = n2;
|
||||
n1.right = n3;
|
||||
@@ -25,7 +25,7 @@ public class binary_tree {
|
||||
PrintUtil.PrintTree(n1);
|
||||
|
||||
/* 插入与删除节点 */
|
||||
TreeNode P = new TreeNode(0);
|
||||
TreeNode P = new(0);
|
||||
// 在 n1 -> n2 中间插入节点 P
|
||||
n1.left = P;
|
||||
P.left = n2;
|
||||
|
||||
@@ -9,7 +9,7 @@ namespace hello_algo.chapter_tree;
|
||||
public class binary_tree_bfs {
|
||||
|
||||
/* 层序遍历 */
|
||||
public List<int> levelOrder(TreeNode root) {
|
||||
public List<int> LevelOrder(TreeNode root) {
|
||||
// 初始化队列,加入根节点
|
||||
Queue<TreeNode> queue = new();
|
||||
queue.Enqueue(root);
|
||||
@@ -34,7 +34,7 @@ public class binary_tree_bfs {
|
||||
Console.WriteLine("\n初始化二叉树\n");
|
||||
PrintUtil.PrintTree(root);
|
||||
|
||||
List<int> list = levelOrder(root);
|
||||
List<int> list = LevelOrder(root);
|
||||
Console.WriteLine("\n层序遍历的节点打印序列 = " + string.Join(",", list));
|
||||
}
|
||||
}
|
||||
|
||||
@@ -7,32 +7,32 @@
|
||||
namespace hello_algo.chapter_tree;
|
||||
|
||||
public class binary_tree_dfs {
|
||||
List<int> list = new();
|
||||
readonly List<int> list = new();
|
||||
|
||||
/* 前序遍历 */
|
||||
void preOrder(TreeNode? root) {
|
||||
void PreOrder(TreeNode? root) {
|
||||
if (root == null) return;
|
||||
// 访问优先级:根节点 -> 左子树 -> 右子树
|
||||
list.Add(root.val);
|
||||
preOrder(root.left);
|
||||
preOrder(root.right);
|
||||
PreOrder(root.left);
|
||||
PreOrder(root.right);
|
||||
}
|
||||
|
||||
/* 中序遍历 */
|
||||
void inOrder(TreeNode? root) {
|
||||
void InOrder(TreeNode? root) {
|
||||
if (root == null) return;
|
||||
// 访问优先级:左子树 -> 根节点 -> 右子树
|
||||
inOrder(root.left);
|
||||
InOrder(root.left);
|
||||
list.Add(root.val);
|
||||
inOrder(root.right);
|
||||
InOrder(root.right);
|
||||
}
|
||||
|
||||
/* 后序遍历 */
|
||||
void postOrder(TreeNode? root) {
|
||||
void PostOrder(TreeNode? root) {
|
||||
if (root == null) return;
|
||||
// 访问优先级:左子树 -> 右子树 -> 根节点
|
||||
postOrder(root.left);
|
||||
postOrder(root.right);
|
||||
PostOrder(root.left);
|
||||
PostOrder(root.right);
|
||||
list.Add(root.val);
|
||||
}
|
||||
|
||||
@@ -45,15 +45,15 @@ public class binary_tree_dfs {
|
||||
PrintUtil.PrintTree(root);
|
||||
|
||||
list.Clear();
|
||||
preOrder(root);
|
||||
PreOrder(root);
|
||||
Console.WriteLine("\n前序遍历的节点打印序列 = " + string.Join(",", list));
|
||||
|
||||
list.Clear();
|
||||
inOrder(root);
|
||||
InOrder(root);
|
||||
Console.WriteLine("\n中序遍历的节点打印序列 = " + string.Join(",", list));
|
||||
|
||||
list.Clear();
|
||||
postOrder(root);
|
||||
PostOrder(root);
|
||||
Console.WriteLine("\n后序遍历的节点打印序列 = " + string.Join(",", list));
|
||||
}
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user