feat: Traditional Chinese version (#1163)

* First commit

* Update mkdocs.yml

* Translate all the docs to traditional Chinese

* Translate the code files.

* Translate the docker file

* Fix mkdocs.yml

* Translate all the figures from SC to TC

* 二叉搜尋樹 -> 二元搜尋樹

* Update terminology.

* Update terminology

* 构造函数/构造方法 -> 建構子
异或 -> 互斥或

* 擴充套件 -> 擴展

* constant - 常量 - 常數

* 類	-> 類別

* AVL -> AVL 樹

* 數組 -> 陣列

* 係統 -> 系統
斐波那契數列 -> 費波那契數列
運算元量 -> 運算量
引數 -> 參數

* 聯絡 -> 關聯

* 麵試 -> 面試

* 面向物件 -> 物件導向
歸併排序 -> 合併排序
范式 -> 範式

* Fix 算法 -> 演算法

* 錶示 -> 表示
反碼 -> 一補數
補碼 -> 二補數
列列尾部 -> 佇列尾部
區域性性 -> 區域性
一摞 -> 一疊

* Synchronize with main branch

* 賬號 -> 帳號
推匯 -> 推導

* Sync with main branch

* First commit

* Update mkdocs.yml

* Translate all the docs to traditional Chinese

* Translate the code files.

* Translate the docker file

* Fix mkdocs.yml

* Translate all the figures from SC to TC

* 二叉搜尋樹 -> 二元搜尋樹

* Update terminology

* 构造函数/构造方法 -> 建構子
异或 -> 互斥或

* 擴充套件 -> 擴展

* constant - 常量 - 常數

* 類	-> 類別

* AVL -> AVL 樹

* 數組 -> 陣列

* 係統 -> 系統
斐波那契數列 -> 費波那契數列
運算元量 -> 運算量
引數 -> 參數

* 聯絡 -> 關聯

* 麵試 -> 面試

* 面向物件 -> 物件導向
歸併排序 -> 合併排序
范式 -> 範式

* Fix 算法 -> 演算法

* 錶示 -> 表示
反碼 -> 一補數
補碼 -> 二補數
列列尾部 -> 佇列尾部
區域性性 -> 區域性
一摞 -> 一疊

* Synchronize with main branch

* 賬號 -> 帳號
推匯 -> 推導

* Sync with main branch

* Update terminology.md

* 操作数量(num. of operations)-> 操作數量

* 字首和->前綴和

* Update figures

* 歸 -> 迴
記憶體洩漏 -> 記憶體流失

* Fix the bug of the file filter

* 支援 -> 支持
Add zh-Hant/README.md

* Add the zh-Hant chapter covers.
Bug fixes.

* 外掛 -> 擴充功能

* Add the landing page for zh-Hant version

* Unify the font of the chapter covers for the zh, en, and zh-Hant version

* Move zh-Hant/ to zh-hant/

* Translate terminology.md to traditional Chinese
This commit is contained in:
Yudong Jin
2024-04-06 02:30:11 +08:00
committed by GitHub
parent 33d7f8a2e5
commit 5f7385c8a3
1875 changed files with 102923 additions and 18 deletions

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add_executable(array_deque array_deque.cpp)
add_executable(array_queue array_queue.cpp)
add_executable(array_stack array_stack.cpp)
add_executable(deque deque.cpp)
add_executable(linkedlist_deque linkedlist_deque.cpp)
add_executable(linkedlist_queue linkedlist_queue.cpp)
add_executable(linkedlist_stack linkedlist_stack.cpp)
add_executable(queue queue.cpp)
add_executable(stack stack.cpp)

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/**
* File: array_deque.cpp
* Created Time: 2023-03-02
* Author: krahets (krahets@163.com)
*/
#include "../utils/common.hpp"
/* 基於環形陣列實現的雙向佇列 */
class ArrayDeque {
private:
vector<int> nums; // 用於儲存雙向佇列元素的陣列
int front; // 佇列首指標,指向佇列首元素
int queSize; // 雙向佇列長度
public:
/* 建構子 */
ArrayDeque(int capacity) {
nums.resize(capacity);
front = queSize = 0;
}
/* 獲取雙向佇列的容量 */
int capacity() {
return nums.size();
}
/* 獲取雙向佇列的長度 */
int size() {
return queSize;
}
/* 判斷雙向佇列是否為空 */
bool isEmpty() {
return queSize == 0;
}
/* 計算環形陣列索引 */
int index(int i) {
// 透過取餘操作實現陣列首尾相連
// 當 i 越過陣列尾部後,回到頭部
// 當 i 越過陣列頭部後,回到尾部
return (i + capacity()) % capacity();
}
/* 佇列首入列 */
void pushFirst(int num) {
if (queSize == capacity()) {
cout << "雙向佇列已滿" << endl;
return;
}
// 佇列首指標向左移動一位
// 透過取餘操作實現 front 越過陣列頭部後回到尾部
front = index(front - 1);
// 將 num 新增至佇列首
nums[front] = num;
queSize++;
}
/* 佇列尾入列 */
void pushLast(int num) {
if (queSize == capacity()) {
cout << "雙向佇列已滿" << endl;
return;
}
// 計算佇列尾指標,指向佇列尾索引 + 1
int rear = index(front + queSize);
// 將 num 新增至佇列尾
nums[rear] = num;
queSize++;
}
/* 佇列首出列 */
int popFirst() {
int num = peekFirst();
// 佇列首指標向後移動一位
front = index(front + 1);
queSize--;
return num;
}
/* 佇列尾出列 */
int popLast() {
int num = peekLast();
queSize--;
return num;
}
/* 訪問佇列首元素 */
int peekFirst() {
if (isEmpty())
throw out_of_range("雙向佇列為空");
return nums[front];
}
/* 訪問佇列尾元素 */
int peekLast() {
if (isEmpty())
throw out_of_range("雙向佇列為空");
// 計算尾元素索引
int last = index(front + queSize - 1);
return nums[last];
}
/* 返回陣列用於列印 */
vector<int> toVector() {
// 僅轉換有效長度範圍內的串列元素
vector<int> res(queSize);
for (int i = 0, j = front; i < queSize; i++, j++) {
res[i] = nums[index(j)];
}
return res;
}
};
/* Driver Code */
int main() {
/* 初始化雙向佇列 */
ArrayDeque *deque = new ArrayDeque(10);
deque->pushLast(3);
deque->pushLast(2);
deque->pushLast(5);
cout << "雙向佇列 deque = ";
printVector(deque->toVector());
/* 訪問元素 */
int peekFirst = deque->peekFirst();
cout << "佇列首元素 peekFirst = " << peekFirst << endl;
int peekLast = deque->peekLast();
cout << "佇列尾元素 peekLast = " << peekLast << endl;
/* 元素入列 */
deque->pushLast(4);
cout << "元素 4 佇列尾入列後 deque = ";
printVector(deque->toVector());
deque->pushFirst(1);
cout << "元素 1 佇列首入列後 deque = ";
printVector(deque->toVector());
/* 元素出列 */
int popLast = deque->popLast();
cout << "佇列尾出列元素 = " << popLast << ",佇列尾出列後 deque = ";
printVector(deque->toVector());
int popFirst = deque->popFirst();
cout << "佇列首出列元素 = " << popFirst << ",佇列首出列後 deque = ";
printVector(deque->toVector());
/* 獲取雙向佇列的長度 */
int size = deque->size();
cout << "雙向佇列長度 size = " << size << endl;
/* 判斷雙向佇列是否為空 */
bool isEmpty = deque->isEmpty();
cout << "雙向佇列是否為空 = " << boolalpha << isEmpty << endl;
return 0;
}

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/**
* File: array_queue.cpp
* Created Time: 2022-11-25
* Author: krahets (krahets@163.com)
*/
#include "../utils/common.hpp"
/* 基於環形陣列實現的佇列 */
class ArrayQueue {
private:
int *nums; // 用於儲存佇列元素的陣列
int front; // 佇列首指標,指向佇列首元素
int queSize; // 佇列長度
int queCapacity; // 佇列容量
public:
ArrayQueue(int capacity) {
// 初始化陣列
nums = new int[capacity];
queCapacity = capacity;
front = queSize = 0;
}
~ArrayQueue() {
delete[] nums;
}
/* 獲取佇列的容量 */
int capacity() {
return queCapacity;
}
/* 獲取佇列的長度 */
int size() {
return queSize;
}
/* 判斷佇列是否為空 */
bool isEmpty() {
return size() == 0;
}
/* 入列 */
void push(int num) {
if (queSize == queCapacity) {
cout << "佇列已滿" << endl;
return;
}
// 計算佇列尾指標,指向佇列尾索引 + 1
// 透過取餘操作實現 rear 越過陣列尾部後回到頭部
int rear = (front + queSize) % queCapacity;
// 將 num 新增至佇列尾
nums[rear] = num;
queSize++;
}
/* 出列 */
int pop() {
int num = peek();
// 佇列首指標向後移動一位,若越過尾部,則返回到陣列頭部
front = (front + 1) % queCapacity;
queSize--;
return num;
}
/* 訪問佇列首元素 */
int peek() {
if (isEmpty())
throw out_of_range("佇列為空");
return nums[front];
}
/* 將陣列轉化為 Vector 並返回 */
vector<int> toVector() {
// 僅轉換有效長度範圍內的串列元素
vector<int> arr(queSize);
for (int i = 0, j = front; i < queSize; i++, j++) {
arr[i] = nums[j % queCapacity];
}
return arr;
}
};
/* Driver Code */
int main() {
/* 初始化佇列 */
int capacity = 10;
ArrayQueue *queue = new ArrayQueue(capacity);
/* 元素入列 */
queue->push(1);
queue->push(3);
queue->push(2);
queue->push(5);
queue->push(4);
cout << "佇列 queue = ";
printVector(queue->toVector());
/* 訪問佇列首元素 */
int peek = queue->peek();
cout << "佇列首元素 peek = " << peek << endl;
/* 元素出列 */
peek = queue->pop();
cout << "出列元素 pop = " << peek << ",出列後 queue = ";
printVector(queue->toVector());
/* 獲取佇列的長度 */
int size = queue->size();
cout << "佇列長度 size = " << size << endl;
/* 判斷佇列是否為空 */
bool empty = queue->isEmpty();
cout << "佇列是否為空 = " << empty << endl;
/* 測試環形陣列 */
for (int i = 0; i < 10; i++) {
queue->push(i);
queue->pop();
cout << "" << i << " 輪入列 + 出列後 queue = ";
printVector(queue->toVector());
}
// 釋放記憶體
delete queue;
return 0;
}

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/**
* File: array_stack.cpp
* Created Time: 2022-11-28
* Author: qualifier1024 (2539244001@qq.com)
*/
#include "../utils/common.hpp"
/* 基於陣列實現的堆疊 */
class ArrayStack {
private:
vector<int> stack;
public:
/* 獲取堆疊的長度 */
int size() {
return stack.size();
}
/* 判斷堆疊是否為空 */
bool isEmpty() {
return stack.size() == 0;
}
/* 入堆疊 */
void push(int num) {
stack.push_back(num);
}
/* 出堆疊 */
int pop() {
int num = top();
stack.pop_back();
return num;
}
/* 訪問堆疊頂元素 */
int top() {
if (isEmpty())
throw out_of_range("堆疊為空");
return stack.back();
}
/* 返回 Vector */
vector<int> toVector() {
return stack;
}
};
/* Driver Code */
int main() {
/* 初始化堆疊 */
ArrayStack *stack = new ArrayStack();
/* 元素入堆疊 */
stack->push(1);
stack->push(3);
stack->push(2);
stack->push(5);
stack->push(4);
cout << "堆疊 stack = ";
printVector(stack->toVector());
/* 訪問堆疊頂元素 */
int top = stack->top();
cout << "堆疊頂元素 top = " << top << endl;
/* 元素出堆疊 */
top = stack->pop();
cout << "出堆疊元素 pop = " << top << ",出堆疊後 stack = ";
printVector(stack->toVector());
/* 獲取堆疊的長度 */
int size = stack->size();
cout << "堆疊的長度 size = " << size << endl;
/* 判斷是否為空 */
bool empty = stack->isEmpty();
cout << "堆疊是否為空 = " << empty << endl;
// 釋放記憶體
delete stack;
return 0;
}

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/**
* File: deque.cpp
* Created Time: 2022-11-25
* Author: krahets (krahets@163.com)
*/
#include "../utils/common.hpp"
/* Driver Code */
int main() {
/* 初始化雙向佇列 */
deque<int> deque;
/* 元素入列 */
deque.push_back(2);
deque.push_back(5);
deque.push_back(4);
deque.push_front(3);
deque.push_front(1);
cout << "雙向佇列 deque = ";
printDeque(deque);
/* 訪問元素 */
int front = deque.front();
cout << "佇列首元素 front = " << front << endl;
int back = deque.back();
cout << "佇列尾元素 back = " << back << endl;
/* 元素出列 */
deque.pop_front();
cout << "佇列首出列元素 popFront = " << front << ",佇列首出列後 deque = ";
printDeque(deque);
deque.pop_back();
cout << "佇列尾出列元素 popLast = " << back << ",佇列尾出列後 deque = ";
printDeque(deque);
/* 獲取雙向佇列的長度 */
int size = deque.size();
cout << "雙向佇列長度 size = " << size << endl;
/* 判斷雙向佇列是否為空 */
bool empty = deque.empty();
cout << "雙向佇列是否為空 = " << empty << endl;
return 0;
}

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/**
* File: linkedlist_deque.cpp
* Created Time: 2023-03-02
* Author: krahets (krahets@163.com)
*/
#include "../utils/common.hpp"
/* 雙向鏈結串列節點 */
struct DoublyListNode {
int val; // 節點值
DoublyListNode *next; // 後繼節點指標
DoublyListNode *prev; // 前驅節點指標
DoublyListNode(int val) : val(val), prev(nullptr), next(nullptr) {
}
};
/* 基於雙向鏈結串列實現的雙向佇列 */
class LinkedListDeque {
private:
DoublyListNode *front, *rear; // 頭節點 front ,尾節點 rear
int queSize = 0; // 雙向佇列的長度
public:
/* 建構子 */
LinkedListDeque() : front(nullptr), rear(nullptr) {
}
/* 析構方法 */
~LinkedListDeque() {
// 走訪鏈結串列刪除節點,釋放記憶體
DoublyListNode *pre, *cur = front;
while (cur != nullptr) {
pre = cur;
cur = cur->next;
delete pre;
}
}
/* 獲取雙向佇列的長度 */
int size() {
return queSize;
}
/* 判斷雙向佇列是否為空 */
bool isEmpty() {
return size() == 0;
}
/* 入列操作 */
void push(int num, bool isFront) {
DoublyListNode *node = new DoublyListNode(num);
// 若鏈結串列為空,則令 front 和 rear 都指向 node
if (isEmpty())
front = rear = node;
// 佇列首入列操作
else if (isFront) {
// 將 node 新增至鏈結串列頭部
front->prev = node;
node->next = front;
front = node; // 更新頭節點
// 佇列尾入列操作
} else {
// 將 node 新增至鏈結串列尾部
rear->next = node;
node->prev = rear;
rear = node; // 更新尾節點
}
queSize++; // 更新佇列長度
}
/* 佇列首入列 */
void pushFirst(int num) {
push(num, true);
}
/* 佇列尾入列 */
void pushLast(int num) {
push(num, false);
}
/* 出列操作 */
int pop(bool isFront) {
if (isEmpty())
throw out_of_range("佇列為空");
int val;
// 佇列首出列操作
if (isFront) {
val = front->val; // 暫存頭節點值
// 刪除頭節點
DoublyListNode *fNext = front->next;
if (fNext != nullptr) {
fNext->prev = nullptr;
front->next = nullptr;
}
delete front;
front = fNext; // 更新頭節點
// 佇列尾出列操作
} else {
val = rear->val; // 暫存尾節點值
// 刪除尾節點
DoublyListNode *rPrev = rear->prev;
if (rPrev != nullptr) {
rPrev->next = nullptr;
rear->prev = nullptr;
}
delete rear;
rear = rPrev; // 更新尾節點
}
queSize--; // 更新佇列長度
return val;
}
/* 佇列首出列 */
int popFirst() {
return pop(true);
}
/* 佇列尾出列 */
int popLast() {
return pop(false);
}
/* 訪問佇列首元素 */
int peekFirst() {
if (isEmpty())
throw out_of_range("雙向佇列為空");
return front->val;
}
/* 訪問佇列尾元素 */
int peekLast() {
if (isEmpty())
throw out_of_range("雙向佇列為空");
return rear->val;
}
/* 返回陣列用於列印 */
vector<int> toVector() {
DoublyListNode *node = front;
vector<int> res(size());
for (int i = 0; i < res.size(); i++) {
res[i] = node->val;
node = node->next;
}
return res;
}
};
/* Driver Code */
int main() {
/* 初始化雙向佇列 */
LinkedListDeque *deque = new LinkedListDeque();
deque->pushLast(3);
deque->pushLast(2);
deque->pushLast(5);
cout << "雙向佇列 deque = ";
printVector(deque->toVector());
/* 訪問元素 */
int peekFirst = deque->peekFirst();
cout << "佇列首元素 peekFirst = " << peekFirst << endl;
int peekLast = deque->peekLast();
cout << "佇列尾元素 peekLast = " << peekLast << endl;
/* 元素入列 */
deque->pushLast(4);
cout << "元素 4 佇列尾入列後 deque =";
printVector(deque->toVector());
deque->pushFirst(1);
cout << "元素 1 佇列首入列後 deque = ";
printVector(deque->toVector());
/* 元素出列 */
int popLast = deque->popLast();
cout << "佇列尾出列元素 = " << popLast << ",佇列尾出列後 deque = ";
printVector(deque->toVector());
int popFirst = deque->popFirst();
cout << "佇列首出列元素 = " << popFirst << ",佇列首出列後 deque = ";
printVector(deque->toVector());
/* 獲取雙向佇列的長度 */
int size = deque->size();
cout << "雙向佇列長度 size = " << size << endl;
/* 判斷雙向佇列是否為空 */
bool isEmpty = deque->isEmpty();
cout << "雙向佇列是否為空 = " << boolalpha << isEmpty << endl;
// 釋放記憶體
delete deque;
return 0;
}

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/**
* File: linkedlist_queue.cpp
* Created Time: 2022-11-25
* Author: krahets (krahets@163.com)
*/
#include "../utils/common.hpp"
/* 基於鏈結串列實現的佇列 */
class LinkedListQueue {
private:
ListNode *front, *rear; // 頭節點 front ,尾節點 rear
int queSize;
public:
LinkedListQueue() {
front = nullptr;
rear = nullptr;
queSize = 0;
}
~LinkedListQueue() {
// 走訪鏈結串列刪除節點,釋放記憶體
freeMemoryLinkedList(front);
}
/* 獲取佇列的長度 */
int size() {
return queSize;
}
/* 判斷佇列是否為空 */
bool isEmpty() {
return queSize == 0;
}
/* 入列 */
void push(int num) {
// 在尾節點後新增 num
ListNode *node = new ListNode(num);
// 如果佇列為空,則令頭、尾節點都指向該節點
if (front == nullptr) {
front = node;
rear = node;
}
// 如果佇列不為空,則將該節點新增到尾節點後
else {
rear->next = node;
rear = node;
}
queSize++;
}
/* 出列 */
int pop() {
int num = peek();
// 刪除頭節點
ListNode *tmp = front;
front = front->next;
// 釋放記憶體
delete tmp;
queSize--;
return num;
}
/* 訪問佇列首元素 */
int peek() {
if (size() == 0)
throw out_of_range("佇列為空");
return front->val;
}
/* 將鏈結串列轉化為 Vector 並返回 */
vector<int> toVector() {
ListNode *node = front;
vector<int> res(size());
for (int i = 0; i < res.size(); i++) {
res[i] = node->val;
node = node->next;
}
return res;
}
};
/* Driver Code */
int main() {
/* 初始化佇列 */
LinkedListQueue *queue = new LinkedListQueue();
/* 元素入列 */
queue->push(1);
queue->push(3);
queue->push(2);
queue->push(5);
queue->push(4);
cout << "佇列 queue = ";
printVector(queue->toVector());
/* 訪問佇列首元素 */
int peek = queue->peek();
cout << "佇列首元素 peek = " << peek << endl;
/* 元素出列 */
peek = queue->pop();
cout << "出列元素 pop = " << peek << ",出列後 queue = ";
printVector(queue->toVector());
/* 獲取佇列的長度 */
int size = queue->size();
cout << "佇列長度 size = " << size << endl;
/* 判斷佇列是否為空 */
bool empty = queue->isEmpty();
cout << "佇列是否為空 = " << empty << endl;
// 釋放記憶體
delete queue;
return 0;
}

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/**
* File: linkedlist_stack.cpp
* Created Time: 2022-11-28
* Author: qualifier1024 (2539244001@qq.com)
*/
#include "../utils/common.hpp"
/* 基於鏈結串列實現的堆疊 */
class LinkedListStack {
private:
ListNode *stackTop; // 將頭節點作為堆疊頂
int stkSize; // 堆疊的長度
public:
LinkedListStack() {
stackTop = nullptr;
stkSize = 0;
}
~LinkedListStack() {
// 走訪鏈結串列刪除節點,釋放記憶體
freeMemoryLinkedList(stackTop);
}
/* 獲取堆疊的長度 */
int size() {
return stkSize;
}
/* 判斷堆疊是否為空 */
bool isEmpty() {
return size() == 0;
}
/* 入堆疊 */
void push(int num) {
ListNode *node = new ListNode(num);
node->next = stackTop;
stackTop = node;
stkSize++;
}
/* 出堆疊 */
int pop() {
int num = top();
ListNode *tmp = stackTop;
stackTop = stackTop->next;
// 釋放記憶體
delete tmp;
stkSize--;
return num;
}
/* 訪問堆疊頂元素 */
int top() {
if (isEmpty())
throw out_of_range("堆疊為空");
return stackTop->val;
}
/* 將 List 轉化為 Array 並返回 */
vector<int> toVector() {
ListNode *node = stackTop;
vector<int> res(size());
for (int i = res.size() - 1; i >= 0; i--) {
res[i] = node->val;
node = node->next;
}
return res;
}
};
/* Driver Code */
int main() {
/* 初始化堆疊 */
LinkedListStack *stack = new LinkedListStack();
/* 元素入堆疊 */
stack->push(1);
stack->push(3);
stack->push(2);
stack->push(5);
stack->push(4);
cout << "堆疊 stack = ";
printVector(stack->toVector());
/* 訪問堆疊頂元素 */
int top = stack->top();
cout << "堆疊頂元素 top = " << top << endl;
/* 元素出堆疊 */
top = stack->pop();
cout << "出堆疊元素 pop = " << top << ",出堆疊後 stack = ";
printVector(stack->toVector());
/* 獲取堆疊的長度 */
int size = stack->size();
cout << "堆疊的長度 size = " << size << endl;
/* 判斷是否為空 */
bool empty = stack->isEmpty();
cout << "堆疊是否為空 = " << empty << endl;
// 釋放記憶體
delete stack;
return 0;
}

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/**
* File: queue.cpp
* Created Time: 2022-11-28
* Author: qualifier1024 (2539244001@qq.com)
*/
#include "../utils/common.hpp"
/* Driver Code */
int main() {
/* 初始化佇列 */
queue<int> queue;
/* 元素入列 */
queue.push(1);
queue.push(3);
queue.push(2);
queue.push(5);
queue.push(4);
cout << "佇列 queue = ";
printQueue(queue);
/* 訪問佇列首元素 */
int front = queue.front();
cout << "佇列首元素 front = " << front << endl;
/* 元素出列 */
queue.pop();
cout << "出列元素 front = " << front << ",出列後 queue = ";
printQueue(queue);
/* 獲取佇列的長度 */
int size = queue.size();
cout << "佇列長度 size = " << size << endl;
/* 判斷佇列是否為空 */
bool empty = queue.empty();
cout << "佇列是否為空 = " << empty << endl;
return 0;
}

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/**
* File: stack.cpp
* Created Time: 2022-11-28
* Author: qualifier1024 (2539244001@qq.com)
*/
#include "../utils/common.hpp"
/* Driver Code */
int main() {
/* 初始化堆疊 */
stack<int> stack;
/* 元素入堆疊 */
stack.push(1);
stack.push(3);
stack.push(2);
stack.push(5);
stack.push(4);
cout << "堆疊 stack = ";
printStack(stack);
/* 訪問堆疊頂元素 */
int top = stack.top();
cout << "堆疊頂元素 top = " << top << endl;
/* 元素出堆疊 */
stack.pop(); // 無返回值
cout << "出堆疊元素 pop = " << top << ",出堆疊後 stack = ";
printStack(stack);
/* 獲取堆疊的長度 */
int size = stack.size();
cout << "堆疊的長度 size = " << size << endl;
/* 判斷是否為空 */
bool empty = stack.empty();
cout << "堆疊是否為空 = " << empty << endl;
return 0;
}