mirror of
https://github.com/krahets/hello-algo.git
synced 2026-08-29 11:27:13 +00:00
Many bug fixes and improvements (#1270)
* Add Ruby and Kotlin icons Add the avatar of @curtishd * Update README * Synchronize zh-hant and zh versions. * Translate the pythontutor blocks to traditional Chinese * Fix en/mkdocs.yml * Update the landing page of the en version. * Fix the Dockerfile * Refine the en landingpage * Fix en landing page * Reset the README.md
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@@ -23,7 +23,7 @@ class AVLTree {
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/* 更新節點高度 */
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private fun updateHeight(node: TreeNode?) {
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// 節點高度等於最高子樹高度 + 1
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node?.height = (max(height(node?.left).toDouble(), height(node?.right).toDouble()) + 1).toInt()
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node?.height = max(height(node?.left), height(node?.right)) + 1
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}
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/* 獲取平衡因子 */
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@@ -93,20 +93,22 @@ class AVLTree {
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}
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/* 插入節點 */
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fun insert(value: Int) {
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root = insertHelper(root, value)
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fun insert(_val: Int) {
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root = insertHelper(root, _val)
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}
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/* 遞迴插入節點(輔助方法) */
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private fun insertHelper(n: TreeNode?, value: Int): TreeNode {
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private fun insertHelper(n: TreeNode?, _val: Int): TreeNode {
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if (n == null)
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return TreeNode(value)
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return TreeNode(_val)
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var node = n
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/* 1. 查詢插入位置並插入節點 */
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if (value < node.value) node.left = insertHelper(node.left, value)
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else if (value > node.value) node.right = insertHelper(node.right, value)
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else return node // 重複節點不插入,直接返回
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if (_val < node._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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else
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return node // 重複節點不插入,直接返回
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updateHeight(node) // 更新節點高度
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/* 2. 執行旋轉操作,使該子樹重新恢復平衡 */
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node = rotate(node)
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@@ -115,30 +117,38 @@ class AVLTree {
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}
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/* 刪除節點 */
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fun remove(value: Int) {
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root = removeHelper(root, value)
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fun remove(_val: Int) {
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root = removeHelper(root, _val)
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}
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/* 遞迴刪除節點(輔助方法) */
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private fun removeHelper(n: TreeNode?, value: Int): TreeNode? {
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private fun removeHelper(n: TreeNode?, _val: Int): TreeNode? {
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var node = n ?: return null
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/* 1. 查詢節點並刪除 */
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if (value < node.value) node.left = removeHelper(node.left, value)
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else if (value > node.value) node.right = removeHelper(node.right, value)
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if (_val < node._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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else {
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if (node.left == null || node.right == null) {
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val child = if (node.left != null) node.left else node.right
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val child = if (node.left != null)
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node.left
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else
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node.right
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// 子節點數量 = 0 ,直接刪除 node 並返回
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if (child == null) return null
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else node = child
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if (child == null)
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return null
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// 子節點數量 = 1 ,直接刪除 node
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else
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node = child
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} else {
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// 子節點數量 = 2 ,則將中序走訪的下個節點刪除,並用該節點替換當前節點
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var temp = node.right
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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.value)
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node.value = temp.value
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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) // 更新節點高度
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@@ -149,29 +159,34 @@ class AVLTree {
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}
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/* 查詢節點 */
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fun search(value: Int): TreeNode? {
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fun search(_val: Int): TreeNode? {
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var cur = root
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// 迴圈查詢,越過葉節點後跳出
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while (cur != null) {
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// 目標節點在 cur 的右子樹中
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cur = if (cur.value < value) cur.right!!
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else (if (cur.value > value) cur.left
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else break)!!
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cur = if (cur._val < _val)
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cur.right!!
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// 目標節點在 cur 的左子樹中
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else if (cur._val > _val)
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cur.left
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// 找到目標節點,跳出迴圈
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else
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break
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}
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// 返回目標節點
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return cur
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}
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}
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fun testInsert(tree: AVLTree, value: Int) {
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tree.insert(value)
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println("\n插入節點 $value 後,AVL 樹為")
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fun testInsert(tree: AVLTree, _val: Int) {
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tree.insert(_val)
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println("\n插入節點 $_val 後,AVL 樹為")
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printTree(tree.root)
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}
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fun testRemove(tree: AVLTree, value: Int) {
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tree.remove(value)
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println("\n刪除節點 $value 後,AVL 樹為")
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fun testRemove(tree: AVLTree, _val: Int) {
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tree.remove(_val)
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println("\n刪除節點 $_val 後,AVL 樹為")
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printTree(tree.root)
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}
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@@ -204,5 +219,5 @@ fun main() {
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/* 查詢節點 */
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val node = avlTree.search(7)
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println("\n 查詢到的節點物件為 $node,節點值 = ${node?.value}")
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println("\n 查詢到的節點物件為 $node,節點值 = ${node?._val}")
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}
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