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---
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comments: true
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---
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# 5.3 双向队列
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在队列中，我们仅能删除头部元素或在尾部添加元素。如图 5-7 所示，「双向队列 double-ended queue」提供了更高的灵活性，允许在头部和尾部执行元素的添加或删除操作。
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{ class="animation-figure" }
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<p align="center"> 图 5-7 双向队列的操作 </p>
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## 5.3.1 双向队列常用操作
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双向队列的常用操作如表 5-3 所示，具体的方法名称需要根据所使用的编程语言来确定。
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<p align="center"> 表 5-3 双向队列操作效率 </p>
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<div class="center-table" markdown>
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| 方法名 | 描述 | 时间复杂度 |
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| -------------- | ---------------- | ---------- |
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| `push_first()` | 将元素添加至队首 | $O(1)$ |
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| `push_last()` | 将元素添加至队尾 | $O(1)$ |
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| `pop_first()` | 删除队首元素 | $O(1)$ |
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| `pop_last()` | 删除队尾元素 | $O(1)$ |
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| `peek_first()` | 访问队首元素 | $O(1)$ |
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| `peek_last()` | 访问队尾元素 | $O(1)$ |
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</div>
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同样地，我们可以直接使用编程语言中已实现的双向队列类：
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=== "Python"
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```python title="deque.py"
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from collections import deque
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# 初始化双向队列
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deque: deque[int] = deque()
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# 元素入队
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deque.append(2) # 添加至队尾
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deque.append(5)
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deque.append(4)
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deque.appendleft(3) # 添加至队首
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deque.appendleft(1)
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# 访问元素
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front: int = deque[0] # 队首元素
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rear: int = deque[-1] # 队尾元素
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# 元素出队
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pop_front: int = deque.popleft() # 队首元素出队
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pop_rear: int = deque.pop() # 队尾元素出队
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# 获取双向队列的长度
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size: int = len(deque)
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# 判断双向队列是否为空
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is_empty: bool = len(deque) == 0
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```
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=== "C++"
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```cpp title="deque.cpp"
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/* 初始化双向队列 */
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deque<int> deque;
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/* 元素入队 */
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deque.push_back(2); // 添加至队尾
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deque.push_back(5);
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deque.push_back(4);
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deque.push_front(3); // 添加至队首
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deque.push_front(1);
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/* 访问元素 */
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int front = deque.front(); // 队首元素
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int back = deque.back(); // 队尾元素
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/* 元素出队 */
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deque.pop_front(); // 队首元素出队
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deque.pop_back(); // 队尾元素出队
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/* 获取双向队列的长度 */
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int size = deque.size();
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/* 判断双向队列是否为空 */
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bool empty = deque.empty();
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```
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=== "Java"
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```java title="deque.java"
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/* 初始化双向队列 */
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Deque<Integer> deque = new LinkedList<>();
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/* 元素入队 */
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deque.offerLast(2); // 添加至队尾
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deque.offerLast(5);
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deque.offerLast(4);
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deque.offerFirst(3); // 添加至队首
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deque.offerFirst(1);
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/* 访问元素 */
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int peekFirst = deque.peekFirst(); // 队首元素
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int peekLast = deque.peekLast(); // 队尾元素
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/* 元素出队 */
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int popFirst = deque.pollFirst(); // 队首元素出队
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int popLast = deque.pollLast(); // 队尾元素出队
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/* 获取双向队列的长度 */
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int size = deque.size();
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/* 判断双向队列是否为空 */
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boolean isEmpty = deque.isEmpty();
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```
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=== "C#"
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```csharp title="deque.cs"
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/* 初始化双向队列 */
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// 在 C# 中，将链表 LinkedList 看作双向队列来使用
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LinkedList<int> deque = new();
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/* 元素入队 */
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deque.AddLast(2); // 添加至队尾
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deque.AddLast(5);
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deque.AddLast(4);
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deque.AddFirst(3); // 添加至队首
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deque.AddFirst(1);
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/* 访问元素 */
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int peekFirst = deque.First.Value; // 队首元素
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int peekLast = deque.Last.Value; // 队尾元素
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/* 元素出队 */
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deque.RemoveFirst(); // 队首元素出队
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deque.RemoveLast(); // 队尾元素出队
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/* 获取双向队列的长度 */
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int size = deque.Count;
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/* 判断双向队列是否为空 */
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bool isEmpty = deque.Count == 0;
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```
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=== "Go"
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```go title="deque_test.go"
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/* 初始化双向队列 */
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// 在 Go 中，将 list 作为双向队列使用
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deque := list.New()
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/* 元素入队 */
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deque.PushBack(2) // 添加至队尾
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deque.PushBack(5)
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deque.PushBack(4)
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deque.PushFront(3) // 添加至队首
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deque.PushFront(1)
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/* 访问元素 */
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front := deque.Front() // 队首元素
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rear := deque.Back() // 队尾元素
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/* 元素出队 */
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deque.Remove(front) // 队首元素出队
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deque.Remove(rear) // 队尾元素出队
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/* 获取双向队列的长度 */
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size := deque.Len()
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/* 判断双向队列是否为空 */
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isEmpty := deque.Len() == 0
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```
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=== "Swift"
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```swift title="deque.swift"
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/* 初始化双向队列 */
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// Swift 没有内置的双向队列类，可以把 Array 当作双向队列来使用
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var deque: [Int] = []
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/* 元素入队 */
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deque.append(2) // 添加至队尾
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deque.append(5)
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deque.append(4)
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deque.insert(3, at: 0) // 添加至队首
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deque.insert(1, at: 0)
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/* 访问元素 */
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let peekFirst = deque.first! // 队首元素
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let peekLast = deque.last! // 队尾元素
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/* 元素出队 */
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// 使用 Array 模拟时 popFirst 的复杂度为 O(n)
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let popFirst = deque.removeFirst() // 队首元素出队
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let popLast = deque.removeLast() // 队尾元素出队
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/* 获取双向队列的长度 */
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let size = deque.count
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/* 判断双向队列是否为空 */
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let isEmpty = deque.isEmpty
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```
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=== "JS"
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```javascript title="deque.js"
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/* 初始化双向队列 */
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// JavaScript 没有内置的双端队列，只能把 Array 当作双端队列来使用
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const deque = [];
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/* 元素入队 */
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deque.push(2);
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deque.push(5);
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deque.push(4);
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// 请注意，由于是数组，unshift() 方法的时间复杂度为 O(n)
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deque.unshift(3);
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deque.unshift(1);
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/* 访问元素 */
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const peekFirst = deque[0];
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const peekLast = deque[deque.length - 1];
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/* 元素出队 */
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// 请注意，由于是数组，shift() 方法的时间复杂度为 O(n)
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const popFront = deque.shift();
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const popBack = deque.pop();
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/* 获取双向队列的长度 */
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const size = deque.length;
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/* 判断双向队列是否为空 */
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const isEmpty = size === 0;
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```
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=== "TS"
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```typescript title="deque.ts"
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/* 初始化双向队列 */
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// TypeScript 没有内置的双端队列，只能把 Array 当作双端队列来使用
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const deque: number[] = [];
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/* 元素入队 */
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deque.push(2);
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deque.push(5);
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deque.push(4);
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// 请注意，由于是数组，unshift() 方法的时间复杂度为 O(n)
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deque.unshift(3);
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deque.unshift(1);
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/* 访问元素 */
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const peekFirst: number = deque[0];
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const peekLast: number = deque[deque.length - 1];
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/* 元素出队 */
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// 请注意，由于是数组，shift() 方法的时间复杂度为 O(n)
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const popFront: number = deque.shift() as number;
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const popBack: number = deque.pop() as number;
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/* 获取双向队列的长度 */
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const size: number = deque.length;
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/* 判断双向队列是否为空 */
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const isEmpty: boolean = size === 0;
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```
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=== "Dart"
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```dart title="deque.dart"
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/* 初始化双向队列 */
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// 在 Dart 中，Queue 被定义为双向队列
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Queue<int> deque = Queue<int>();
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/* 元素入队 */
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deque.addLast(2); // 添加至队尾
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deque.addLast(5);
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deque.addLast(4);
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deque.addFirst(3); // 添加至队首
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deque.addFirst(1);
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/* 访问元素 */
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int peekFirst = deque.first; // 队首元素
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int peekLast = deque.last; // 队尾元素
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/* 元素出队 */
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int popFirst = deque.removeFirst(); // 队首元素出队
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int popLast = deque.removeLast(); // 队尾元素出队
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/* 获取双向队列的长度 */
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int size = deque.length;
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/* 判断双向队列是否为空 */
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bool isEmpty = deque.isEmpty;W
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```
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=== "Rust"
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```rust title="deque.rs"
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/* 初始化双向队列 */
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let mut deque: VecDeque<u32> = VecDeque::new();
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/* 元素入队 */
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deque.push_back(2); // 添加至队尾
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deque.push_back(5);
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deque.push_back(4);
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deque.push_front(3); // 添加至队首
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deque.push_front(1);
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/* 访问元素 */
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if let Some(front) = deque.front() { // 队首元素
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}
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if let Some(rear) = deque.back() { // 队尾元素
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}
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/* 元素出队 */
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if let Some(pop_front) = deque.pop_front() { // 队首元素出队
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}
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if let Some(pop_rear) = deque.pop_back() { // 队尾元素出队
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}
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/* 获取双向队列的长度 */
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let size = deque.len();
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/* 判断双向队列是否为空 */
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let is_empty = deque.is_empty();
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```
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=== "C"
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```c title="deque.c"
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// C 未提供内置双向队列
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```
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=== "Zig"
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```zig title="deque.zig"
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```
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??? pythontutor "可视化运行"
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<div style="height: 549px; width: 100%;"><iframe class="pythontutor-iframe" src="https://pythontutor.com/iframe-embed.html#code=from%20collections%20import%20deque%0A%0A%22%22%22Driver%20Code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%22%3A%0A%20%20%20%20%23%20%E5%88%9D%E5%A7%8B%E5%8C%96%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%0A%20%20%20%20deq%20%3D%20deque%28%29%0A%0A%20%20%20%20%23%20%E5%85%83%E7%B4%A0%E5%85%A5%E9%98%9F%0A%20%20%20%20deq.append%282%29%20%20%23%20%E6%B7%BB%E5%8A%A0%E8%87%B3%E9%98%9F%E5%B0%BE%0A%20%20%20%20deq.append%285%29%0A%20%20%20%20deq.append%284%29%0A%20%20%20%20deq.appendleft%283%29%20%20%23%20%E6%B7%BB%E5%8A%A0%E8%87%B3%E9%98%9F%E9%A6%96%0A%20%20%20%20deq.appendleft%281%29%0A%20%20%20%20print%28%22%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%20deque%20%3D%22,%20deq%29%0A%0A%20%20%20%20%23%20%E8%AE%BF%E9%97%AE%E5%85%83%E7%B4%A0%0A%20%20%20%20front%20%3D%20deq%5B0%5D%20%20%23%20%E9%98%9F%E9%A6%96%E5%85%83%E7%B4%A0%0A%20%20%20%20print%28%22%E9%98%9F%E9%A6%96%E5%85%83%E7%B4%A0%20front%20%3D%22,%20front%29%0A%20%20%20%20rear%20%3D%20deq%5B-1%5D%20%20%23%20%E9%98%9F%E5%B0%BE%E5%85%83%E7%B4%A0%0A%20%20%20%20print%28%22%E9%98%9F%E5%B0%BE%E5%85%83%E7%B4%A0%20rear%20%3D%22,%20rear%29%0A%0A%20%20%20%20%23%20%E5%85%83%E7%B4%A0%E5%87%BA%E9%98%9F%0A%20%20%20%20pop_front%20%3D%20deq.popleft%28%29%20%20%23%20%E9%98%9F%E9%A6%96%E5%85%83%E7%B4%A0%E5%87%BA%E9%98%9F%0A%20%20%20%20print%28%22%E9%98%9F%E9%A6%96%E5%87%BA%E9%98%9F%E5%85%83%E7%B4%A0%20%20pop_front%20%3D%22,%20pop_front%29%0A%20%20%20%20print%28%22%E9%98%9F%E9%A6%96%E5%87%BA%E9%98%9F%E5%90%8E%20deque%20%3D%22,%20deq%29%0A%20%20%20%20pop_rear%20%3D%20deq.pop%28%29%20%20%23%20%E9%98%9F%E5%B0%BE%E5%85%83%E7%B4%A0%E5%87%BA%E9%98%9F%0A%20%20%20%20print%28%22%E9%98%9F%E5%B0%BE%E5%87%BA%E9%98%9F%E5%85%83%E7%B4%A0%20%20pop_rear%20%3D%22,%20pop_rear%29%0A%20%20%20%20print%28%22%E9%98%9F%E5%B0%BE%E5%87%BA%E9%98%9F%E5%90%8E%20deque%20%3D%22,%20deq%29%0A%0A%20%20%20%20%23%20%E8%8E%B7%E5%8F%96%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E7%9A%84%E9%95%BF%E5%BA%A6%0A%20%20%20%20size%20%3D%20len%28deq%29%0A%20%20%20%20print%28%22%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E9%95%BF%E5%BA%A6%20size%20%3D%22,%20size%29%0A%0A%20%20%20%20%23%20%E5%88%A4%E6%96%AD%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E6%98%AF%E5%90%A6%E4%B8%BA%E7%A9%BA%0A%20%20%20%20is_empty%20%3D%20len%28deq%29%20%3D%3D%200%0A%20%20%20%20print%28%22%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E6%98%AF%E5%90%A6%E4%B8%BA%E7%A9%BA%20%3D%22,%20is_empty%29&codeDivHeight=472&codeDivWidth=350&cumulative=false&curInstr=3&heapPrimitives=nevernest&origin=opt-frontend.js&py=311&rawInputLstJSON=%5B%5D&textReferences=false"> </iframe></div>
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<div style="margin-top: 5px;"><a href="https://pythontutor.com/iframe-embed.html#code=from%20collections%20import%20deque%0A%0A%22%22%22Driver%20Code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%22%3A%0A%20%20%20%20%23%20%E5%88%9D%E5%A7%8B%E5%8C%96%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%0A%20%20%20%20deq%20%3D%20deque%28%29%0A%0A%20%20%20%20%23%20%E5%85%83%E7%B4%A0%E5%85%A5%E9%98%9F%0A%20%20%20%20deq.append%282%29%20%20%23%20%E6%B7%BB%E5%8A%A0%E8%87%B3%E9%98%9F%E5%B0%BE%0A%20%20%20%20deq.append%285%29%0A%20%20%20%20deq.append%284%29%0A%20%20%20%20deq.appendleft%283%29%20%20%23%20%E6%B7%BB%E5%8A%A0%E8%87%B3%E9%98%9F%E9%A6%96%0A%20%20%20%20deq.appendleft%281%29%0A%20%20%20%20print%28%22%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%20deque%20%3D%22,%20deq%29%0A%0A%20%20%20%20%23%20%E8%AE%BF%E9%97%AE%E5%85%83%E7%B4%A0%0A%20%20%20%20front%20%3D%20deq%5B0%5D%20%20%23%20%E9%98%9F%E9%A6%96%E5%85%83%E7%B4%A0%0A%20%20%20%20print%28%22%E9%98%9F%E9%A6%96%E5%85%83%E7%B4%A0%20front%20%3D%22,%20front%29%0A%20%20%20%20rear%20%3D%20deq%5B-1%5D%20%20%23%20%E9%98%9F%E5%B0%BE%E5%85%83%E7%B4%A0%0A%20%20%20%20print%28%22%E9%98%9F%E5%B0%BE%E5%85%83%E7%B4%A0%20rear%20%3D%22,%20rear%29%0A%0A%20%20%20%20%23%20%E5%85%83%E7%B4%A0%E5%87%BA%E9%98%9F%0A%20%20%20%20pop_front%20%3D%20deq.popleft%28%29%20%20%23%20%E9%98%9F%E9%A6%96%E5%85%83%E7%B4%A0%E5%87%BA%E9%98%9F%0A%20%20%20%20print%28%22%E9%98%9F%E9%A6%96%E5%87%BA%E9%98%9F%E5%85%83%E7%B4%A0%20%20pop_front%20%3D%22,%20pop_front%29%0A%20%20%20%20print%28%22%E9%98%9F%E9%A6%96%E5%87%BA%E9%98%9F%E5%90%8E%20deque%20%3D%22,%20deq%29%0A%20%20%20%20pop_rear%20%3D%20deq.pop%28%29%20%20%23%20%E9%98%9F%E5%B0%BE%E5%85%83%E7%B4%A0%E5%87%BA%E9%98%9F%0A%20%20%20%20print%28%22%E9%98%9F%E5%B0%BE%E5%87%BA%E9%98%9F%E5%85%83%E7%B4%A0%20%20pop_rear%20%3D%22,%20pop_rear%29%0A%20%20%20%20print%28%22%E9%98%9F%E5%B0%BE%E5%87%BA%E9%98%9F%E5%90%8E%20deque%20%3D%22,%20deq%29%0A%0A%20%20%20%20%23%20%E8%8E%B7%E5%8F%96%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E7%9A%84%E9%95%BF%E5%BA%A6%0A%20%20%20%20size%20%3D%20len%28deq%29%0A%20%20%20%20print%28%22%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E9%95%BF%E5%BA%A6%20size%20%3D%22,%20size%29%0A%0A%20%20%20%20%23%20%E5%88%A4%E6%96%AD%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E6%98%AF%E5%90%A6%E4%B8%BA%E7%A9%BA%0A%20%20%20%20is_empty%20%3D%20len%28deq%29%20%3D%3D%200%0A%20%20%20%20print%28%22%E5%8F%8C%E5%90%91%E9%98%9F%E5%88%97%E6%98%AF%E5%90%A6%E4%B8%BA%E7%A9%BA%20%3D%22,%20is_empty%29&codeDivHeight=800&codeDivWidth=600&cumulative=false&curInstr=3&heapPrimitives=nevernest&origin=opt-frontend.js&py=311&rawInputLstJSON=%5B%5D&textReferences=false" target="_blank" rel="noopener noreferrer">全屏观看 ></a></div>
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## 5.3.2 双向队列实现 *
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双向队列的实现与队列类似，可以选择链表或数组作为底层数据结构。
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### 1. 基于双向链表的实现
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回顾上一节内容，我们使用普通单向链表来实现队列，因为它可以方便地删除头节点（对应出队操作）和在尾节点后添加新节点（对应入队操作）。
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对于双向队列而言，头部和尾部都可以执行入队和出队操作。换句话说，双向队列需要实现另一个对称方向的操作。为此，我们采用“双向链表”作为双向队列的底层数据结构。
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如图 5-8 所示，我们将双向链表的头节点和尾节点视为双向队列的队首和队尾，同时实现在两端添加和删除节点的功能。
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=== "LinkedListDeque"
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{ class="animation-figure" }
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=== "push_last()"
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{ class="animation-figure" }
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=== "push_first()"
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{ class="animation-figure" }
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=== "pop_last()"
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{ class="animation-figure" }
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=== "pop_first()"
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{ class="animation-figure" }
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<p align="center"> 图 5-8 基于链表实现双向队列的入队出队操作 </p>
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实现代码如下所示：
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=== "Python"
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```python title="linkedlist_deque.py"
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class ListNode:
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"""双向链表节点"""
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def __init__(self, val: int):
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"""构造方法"""
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self.val: int = val
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self.next: ListNode | None = None # 后继节点引用
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self.prev: ListNode | None = None # 前驱节点引用
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class LinkedListDeque:
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"""基于双向链表实现的双向队列"""
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def __init__(self):
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"""构造方法"""
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self._front: ListNode | None = None # 头节点 front
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self._rear: ListNode | None = None # 尾节点 rear
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self._size: int = 0 # 双向队列的长度
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def size(self) -> int:
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"""获取双向队列的长度"""
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return self._size
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def is_empty(self) -> bool:
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"""判断双向队列是否为空"""
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return self.size() == 0
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def push(self, num: int, is_front: bool):
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"""入队操作"""
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node = ListNode(num)
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# 若链表为空，则令 front 和 rear 都指向 node
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if self.is_empty():
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self._front = self._rear = node
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# 队首入队操作
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elif is_front:
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# 将 node 添加至链表头部
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self._front.prev = node
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node.next = self._front
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self._front = node # 更新头节点
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# 队尾入队操作
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else:
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# 将 node 添加至链表尾部
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self._rear.next = node
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node.prev = self._rear
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self._rear = node # 更新尾节点
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self._size += 1 # 更新队列长度
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def push_first(self, num: int):
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"""队首入队"""
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self.push(num, True)
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def push_last(self, num: int):
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"""队尾入队"""
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self.push(num, False)
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def pop(self, is_front: bool) -> int:
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"""出队操作"""
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if self.is_empty():
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raise IndexError("双向队列为空")
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# 队首出队操作
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if is_front:
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val: int = self._front.val # 暂存头节点值
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# 删除头节点
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fnext: ListNode | None = self._front.next
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if fnext != None:
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fnext.prev = None
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self._front.next = None
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self._front = fnext # 更新头节点
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# 队尾出队操作
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else:
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val: int = self._rear.val # 暂存尾节点值
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# 删除尾节点
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rprev: ListNode | None = self._rear.prev
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if rprev != None:
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rprev.next = None
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self._rear.prev = None
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self._rear = rprev # 更新尾节点
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self._size -= 1 # 更新队列长度
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return val
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def pop_first(self) -> int:
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"""队首出队"""
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return self.pop(True)
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def pop_last(self) -> int:
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"""队尾出队"""
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return self.pop(False)
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def peek_first(self) -> int:
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"""访问队首元素"""
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if self.is_empty():
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raise IndexError("双向队列为空")
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return self._front.val
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def peek_last(self) -> int:
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"""访问队尾元素"""
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if self.is_empty():
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raise IndexError("双向队列为空")
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return self._rear.val
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def to_array(self) -> list[int]:
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"""返回数组用于打印"""
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node = self._front
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res = [0] * self.size()
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for i in range(self.size()):
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res[i] = node.val
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node = node.next
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return res
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```
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=== "C++"
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```cpp title="linkedlist_deque.cpp"
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/* 双向链表节点 */
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struct DoublyListNode {
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int val; // 节点值
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DoublyListNode *next; // 后继节点指针
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DoublyListNode *prev; // 前驱节点指针
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DoublyListNode(int val) : val(val), prev(nullptr), next(nullptr) {
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}
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};
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/* 基于双向链表实现的双向队列 */
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class LinkedListDeque {
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private:
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DoublyListNode *front, *rear; // 头节点 front ，尾节点 rear
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int queSize = 0; // 双向队列的长度
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public:
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/* 构造方法 */
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LinkedListDeque() : front(nullptr), rear(nullptr) {
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}
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/* 析构方法 */
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~LinkedListDeque() {
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// 遍历链表删除节点，释放内存
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DoublyListNode *pre, *cur = front;
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while (cur != nullptr) {
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pre = cur;
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cur = cur->next;
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delete pre;
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}
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}
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/* 获取双向队列的长度 */
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int size() {
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return queSize;
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}
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/* 判断双向队列是否为空 */
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bool isEmpty() {
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return size() == 0;
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}
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/* 入队操作 */
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void push(int num, bool isFront) {
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DoublyListNode *node = new DoublyListNode(num);
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// 若链表为空，则令 front 和 rear 都指向 node
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if (isEmpty())
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front = rear = node;
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// 队首入队操作
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else if (isFront) {
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// 将 node 添加至链表头部
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front->prev = node;
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node->next = front;
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front = node; // 更新头节点
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// 队尾入队操作
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} else {
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// 将 node 添加至链表尾部
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rear->next = node;
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node->prev = rear;
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rear = node; // 更新尾节点
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}
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queSize++; // 更新队列长度
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}
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/* 队首入队 */
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void pushFirst(int num) {
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push(num, true);
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}
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/* 队尾入队 */
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void pushLast(int num) {
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push(num, false);
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}
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/* 出队操作 */
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int pop(bool isFront) {
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if (isEmpty())
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throw out_of_range("队列为空");
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int val;
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// 队首出队操作
|
|
|
if (isFront) {
|
|
|
val = front->val; // 暂存头节点值
|
|
|
// 删除头节点
|
|
|
DoublyListNode *fNext = front->next;
|
|
|
if (fNext != nullptr) {
|
|
|
fNext->prev = nullptr;
|
|
|
front->next = nullptr;
|
|
|
}
|
|
|
delete front;
|
|
|
front = fNext; // 更新头节点
|
|
|
// 队尾出队操作
|
|
|
} else {
|
|
|
val = rear->val; // 暂存尾节点值
|
|
|
// 删除尾节点
|
|
|
DoublyListNode *rPrev = rear->prev;
|
|
|
if (rPrev != nullptr) {
|
|
|
rPrev->next = nullptr;
|
|
|
rear->prev = nullptr;
|
|
|
}
|
|
|
delete rear;
|
|
|
rear = rPrev; // 更新尾节点
|
|
|
}
|
|
|
queSize--; // 更新队列长度
|
|
|
return val;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
int popFirst() {
|
|
|
return pop(true);
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
int popLast() {
|
|
|
return pop(false);
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
int peekFirst() {
|
|
|
if (isEmpty())
|
|
|
throw out_of_range("双向队列为空");
|
|
|
return front->val;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
int peekLast() {
|
|
|
if (isEmpty())
|
|
|
throw out_of_range("双向队列为空");
|
|
|
return rear->val;
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
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;
|
|
|
}
|
|
|
};
|
|
|
```
|
|
|
|
|
|
=== "Java"
|
|
|
|
|
|
```java title="linkedlist_deque.java"
|
|
|
/* 双向链表节点 */
|
|
|
class ListNode {
|
|
|
int val; // 节点值
|
|
|
ListNode next; // 后继节点引用
|
|
|
ListNode prev; // 前驱节点引用
|
|
|
|
|
|
ListNode(int val) {
|
|
|
this.val = val;
|
|
|
prev = next = null;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
class LinkedListDeque {
|
|
|
private ListNode front, rear; // 头节点 front ，尾节点 rear
|
|
|
private int queSize = 0; // 双向队列的长度
|
|
|
|
|
|
public LinkedListDeque() {
|
|
|
front = rear = null;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
public int size() {
|
|
|
return queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
public boolean isEmpty() {
|
|
|
return size() == 0;
|
|
|
}
|
|
|
|
|
|
/* 入队操作 */
|
|
|
private void push(int num, boolean isFront) {
|
|
|
ListNode node = new ListNode(num);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (isEmpty())
|
|
|
front = rear = node;
|
|
|
// 队首入队操作
|
|
|
else if (isFront) {
|
|
|
// 将 node 添加至链表头部
|
|
|
front.prev = node;
|
|
|
node.next = front;
|
|
|
front = node; // 更新头节点
|
|
|
// 队尾入队操作
|
|
|
} else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
rear.next = node;
|
|
|
node.prev = rear;
|
|
|
rear = node; // 更新尾节点
|
|
|
}
|
|
|
queSize++; // 更新队列长度
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
public void pushFirst(int num) {
|
|
|
push(num, true);
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
public void pushLast(int num) {
|
|
|
push(num, false);
|
|
|
}
|
|
|
|
|
|
/* 出队操作 */
|
|
|
private int pop(boolean isFront) {
|
|
|
if (isEmpty())
|
|
|
throw new IndexOutOfBoundsException();
|
|
|
int val;
|
|
|
// 队首出队操作
|
|
|
if (isFront) {
|
|
|
val = front.val; // 暂存头节点值
|
|
|
// 删除头节点
|
|
|
ListNode fNext = front.next;
|
|
|
if (fNext != null) {
|
|
|
fNext.prev = null;
|
|
|
front.next = null;
|
|
|
}
|
|
|
front = fNext; // 更新头节点
|
|
|
// 队尾出队操作
|
|
|
} else {
|
|
|
val = rear.val; // 暂存尾节点值
|
|
|
// 删除尾节点
|
|
|
ListNode rPrev = rear.prev;
|
|
|
if (rPrev != null) {
|
|
|
rPrev.next = null;
|
|
|
rear.prev = null;
|
|
|
}
|
|
|
rear = rPrev; // 更新尾节点
|
|
|
}
|
|
|
queSize--; // 更新队列长度
|
|
|
return val;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
public int popFirst() {
|
|
|
return pop(true);
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
public int popLast() {
|
|
|
return pop(false);
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
public int peekFirst() {
|
|
|
if (isEmpty())
|
|
|
throw new IndexOutOfBoundsException();
|
|
|
return front.val;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
public int peekLast() {
|
|
|
if (isEmpty())
|
|
|
throw new IndexOutOfBoundsException();
|
|
|
return rear.val;
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
public int[] toArray() {
|
|
|
ListNode node = front;
|
|
|
int[] res = new int[size()];
|
|
|
for (int i = 0; i < res.length; i++) {
|
|
|
res[i] = node.val;
|
|
|
node = node.next;
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "C#"
|
|
|
|
|
|
```csharp title="linkedlist_deque.cs"
|
|
|
/* 双向链表节点 */
|
|
|
class ListNode(int val) {
|
|
|
public int val = val; // 节点值
|
|
|
public ListNode? next = null; // 后继节点引用
|
|
|
public ListNode? prev = null; // 前驱节点引用
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
class LinkedListDeque {
|
|
|
ListNode? front, rear; // 头节点 front, 尾节点 rear
|
|
|
int queSize = 0; // 双向队列的长度
|
|
|
|
|
|
public LinkedListDeque() {
|
|
|
front = null;
|
|
|
rear = null;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
public int Size() {
|
|
|
return queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
public bool IsEmpty() {
|
|
|
return Size() == 0;
|
|
|
}
|
|
|
|
|
|
/* 入队操作 */
|
|
|
void Push(int num, bool isFront) {
|
|
|
ListNode node = new(num);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (IsEmpty()) {
|
|
|
front = node;
|
|
|
rear = node;
|
|
|
}
|
|
|
// 队首入队操作
|
|
|
else if (isFront) {
|
|
|
// 将 node 添加至链表头部
|
|
|
front!.prev = node;
|
|
|
node.next = front;
|
|
|
front = node; // 更新头节点
|
|
|
}
|
|
|
// 队尾入队操作
|
|
|
else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
rear!.next = node;
|
|
|
node.prev = rear;
|
|
|
rear = node; // 更新尾节点
|
|
|
}
|
|
|
|
|
|
queSize++; // 更新队列长度
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
public void PushFirst(int num) {
|
|
|
Push(num, true);
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
public void PushLast(int num) {
|
|
|
Push(num, false);
|
|
|
}
|
|
|
|
|
|
/* 出队操作 */
|
|
|
int? Pop(bool isFront) {
|
|
|
if (IsEmpty())
|
|
|
throw new Exception();
|
|
|
int? val;
|
|
|
// 队首出队操作
|
|
|
if (isFront) {
|
|
|
val = front?.val; // 暂存头节点值
|
|
|
// 删除头节点
|
|
|
ListNode? fNext = front?.next;
|
|
|
if (fNext != null) {
|
|
|
fNext.prev = null;
|
|
|
front!.next = null;
|
|
|
}
|
|
|
front = fNext; // 更新头节点
|
|
|
}
|
|
|
// 队尾出队操作
|
|
|
else {
|
|
|
val = rear?.val; // 暂存尾节点值
|
|
|
// 删除尾节点
|
|
|
ListNode? rPrev = rear?.prev;
|
|
|
if (rPrev != null) {
|
|
|
rPrev.next = null;
|
|
|
rear!.prev = null;
|
|
|
}
|
|
|
rear = rPrev; // 更新尾节点
|
|
|
}
|
|
|
|
|
|
queSize--; // 更新队列长度
|
|
|
return val;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
public int? PopFirst() {
|
|
|
return Pop(true);
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
public int? PopLast() {
|
|
|
return Pop(false);
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
public int? PeekFirst() {
|
|
|
if (IsEmpty())
|
|
|
throw new Exception();
|
|
|
return front?.val;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
public int? PeekLast() {
|
|
|
if (IsEmpty())
|
|
|
throw new Exception();
|
|
|
return rear?.val;
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
public int?[] ToArray() {
|
|
|
ListNode? node = front;
|
|
|
int?[] res = new int?[Size()];
|
|
|
for (int i = 0; i < res.Length; i++) {
|
|
|
res[i] = node?.val;
|
|
|
node = node?.next;
|
|
|
}
|
|
|
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Go"
|
|
|
|
|
|
```go title="linkedlist_deque.go"
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
type linkedListDeque struct {
|
|
|
// 使用内置包 list
|
|
|
data *list.List
|
|
|
}
|
|
|
|
|
|
/* 初始化双端队列 */
|
|
|
func newLinkedListDeque() *linkedListDeque {
|
|
|
return &linkedListDeque{
|
|
|
data: list.New(),
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 队首元素入队 */
|
|
|
func (s *linkedListDeque) pushFirst(value any) {
|
|
|
s.data.PushFront(value)
|
|
|
}
|
|
|
|
|
|
/* 队尾元素入队 */
|
|
|
func (s *linkedListDeque) pushLast(value any) {
|
|
|
s.data.PushBack(value)
|
|
|
}
|
|
|
|
|
|
/* 队首元素出队 */
|
|
|
func (s *linkedListDeque) popFirst() any {
|
|
|
if s.isEmpty() {
|
|
|
return nil
|
|
|
}
|
|
|
e := s.data.Front()
|
|
|
s.data.Remove(e)
|
|
|
return e.Value
|
|
|
}
|
|
|
|
|
|
/* 队尾元素出队 */
|
|
|
func (s *linkedListDeque) popLast() any {
|
|
|
if s.isEmpty() {
|
|
|
return nil
|
|
|
}
|
|
|
e := s.data.Back()
|
|
|
s.data.Remove(e)
|
|
|
return e.Value
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
func (s *linkedListDeque) peekFirst() any {
|
|
|
if s.isEmpty() {
|
|
|
return nil
|
|
|
}
|
|
|
e := s.data.Front()
|
|
|
return e.Value
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
func (s *linkedListDeque) peekLast() any {
|
|
|
if s.isEmpty() {
|
|
|
return nil
|
|
|
}
|
|
|
e := s.data.Back()
|
|
|
return e.Value
|
|
|
}
|
|
|
|
|
|
/* 获取队列的长度 */
|
|
|
func (s *linkedListDeque) size() int {
|
|
|
return s.data.Len()
|
|
|
}
|
|
|
|
|
|
/* 判断队列是否为空 */
|
|
|
func (s *linkedListDeque) isEmpty() bool {
|
|
|
return s.data.Len() == 0
|
|
|
}
|
|
|
|
|
|
/* 获取 List 用于打印 */
|
|
|
func (s *linkedListDeque) toList() *list.List {
|
|
|
return s.data
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Swift"
|
|
|
|
|
|
```swift title="linkedlist_deque.swift"
|
|
|
/* 双向链表节点 */
|
|
|
class ListNode {
|
|
|
var val: Int // 节点值
|
|
|
var next: ListNode? // 后继节点引用
|
|
|
weak var prev: ListNode? // 前驱节点引用
|
|
|
|
|
|
init(val: Int) {
|
|
|
self.val = val
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
class LinkedListDeque {
|
|
|
private var front: ListNode? // 头节点 front
|
|
|
private var rear: ListNode? // 尾节点 rear
|
|
|
private var queSize: Int // 双向队列的长度
|
|
|
|
|
|
init() {
|
|
|
queSize = 0
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
func size() -> Int {
|
|
|
queSize
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
func isEmpty() -> Bool {
|
|
|
size() == 0
|
|
|
}
|
|
|
|
|
|
/* 入队操作 */
|
|
|
private func push(num: Int, isFront: Bool) {
|
|
|
let node = ListNode(val: num)
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if isEmpty() {
|
|
|
front = node
|
|
|
rear = node
|
|
|
}
|
|
|
// 队首入队操作
|
|
|
else if isFront {
|
|
|
// 将 node 添加至链表头部
|
|
|
front?.prev = node
|
|
|
node.next = front
|
|
|
front = node // 更新头节点
|
|
|
}
|
|
|
// 队尾入队操作
|
|
|
else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
rear?.next = node
|
|
|
node.prev = rear
|
|
|
rear = node // 更新尾节点
|
|
|
}
|
|
|
queSize += 1 // 更新队列长度
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
func pushFirst(num: Int) {
|
|
|
push(num: num, isFront: true)
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
func pushLast(num: Int) {
|
|
|
push(num: num, isFront: false)
|
|
|
}
|
|
|
|
|
|
/* 出队操作 */
|
|
|
private func pop(isFront: Bool) -> Int {
|
|
|
if isEmpty() {
|
|
|
fatalError("双向队列为空")
|
|
|
}
|
|
|
let val: Int
|
|
|
// 队首出队操作
|
|
|
if isFront {
|
|
|
val = front!.val // 暂存头节点值
|
|
|
// 删除头节点
|
|
|
let fNext = front?.next
|
|
|
if fNext != nil {
|
|
|
fNext?.prev = nil
|
|
|
front?.next = nil
|
|
|
}
|
|
|
front = fNext // 更新头节点
|
|
|
}
|
|
|
// 队尾出队操作
|
|
|
else {
|
|
|
val = rear!.val // 暂存尾节点值
|
|
|
// 删除尾节点
|
|
|
let rPrev = rear?.prev
|
|
|
if rPrev != nil {
|
|
|
rPrev?.next = nil
|
|
|
rear?.prev = nil
|
|
|
}
|
|
|
rear = rPrev // 更新尾节点
|
|
|
}
|
|
|
queSize -= 1 // 更新队列长度
|
|
|
return val
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
func popFirst() -> Int {
|
|
|
pop(isFront: true)
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
func popLast() -> Int {
|
|
|
pop(isFront: false)
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
func peekFirst() -> Int? {
|
|
|
isEmpty() ? nil : front?.val
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
func peekLast() -> Int? {
|
|
|
isEmpty() ? nil : rear?.val
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
func toArray() -> [Int] {
|
|
|
var node = front
|
|
|
var res = Array(repeating: 0, count: size())
|
|
|
for i in res.indices {
|
|
|
res[i] = node!.val
|
|
|
node = node?.next
|
|
|
}
|
|
|
return res
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "JS"
|
|
|
|
|
|
```javascript title="linkedlist_deque.js"
|
|
|
/* 双向链表节点 */
|
|
|
class ListNode {
|
|
|
prev; // 前驱节点引用 (指针)
|
|
|
next; // 后继节点引用 (指针)
|
|
|
val; // 节点值
|
|
|
|
|
|
constructor(val) {
|
|
|
this.val = val;
|
|
|
this.next = null;
|
|
|
this.prev = null;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
class LinkedListDeque {
|
|
|
#front; // 头节点 front
|
|
|
#rear; // 尾节点 rear
|
|
|
#queSize; // 双向队列的长度
|
|
|
|
|
|
constructor() {
|
|
|
this.#front = null;
|
|
|
this.#rear = null;
|
|
|
this.#queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队操作 */
|
|
|
pushLast(val) {
|
|
|
const node = new ListNode(val);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (this.#queSize === 0) {
|
|
|
this.#front = node;
|
|
|
this.#rear = node;
|
|
|
} else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
this.#rear.next = node;
|
|
|
node.prev = this.#rear;
|
|
|
this.#rear = node; // 更新尾节点
|
|
|
}
|
|
|
this.#queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首入队操作 */
|
|
|
pushFirst(val) {
|
|
|
const node = new ListNode(val);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (this.#queSize === 0) {
|
|
|
this.#front = node;
|
|
|
this.#rear = node;
|
|
|
} else {
|
|
|
// 将 node 添加至链表头部
|
|
|
this.#front.prev = node;
|
|
|
node.next = this.#front;
|
|
|
this.#front = node; // 更新头节点
|
|
|
}
|
|
|
this.#queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队操作 */
|
|
|
popLast() {
|
|
|
if (this.#queSize === 0) {
|
|
|
return null;
|
|
|
}
|
|
|
const value = this.#rear.val; // 存储尾节点值
|
|
|
// 删除尾节点
|
|
|
let temp = this.#rear.prev;
|
|
|
if (temp !== null) {
|
|
|
temp.next = null;
|
|
|
this.#rear.prev = null;
|
|
|
}
|
|
|
this.#rear = temp; // 更新尾节点
|
|
|
this.#queSize--;
|
|
|
return value;
|
|
|
}
|
|
|
|
|
|
/* 队首出队操作 */
|
|
|
popFirst() {
|
|
|
if (this.#queSize === 0) {
|
|
|
return null;
|
|
|
}
|
|
|
const value = this.#front.val; // 存储尾节点值
|
|
|
// 删除头节点
|
|
|
let temp = this.#front.next;
|
|
|
if (temp !== null) {
|
|
|
temp.prev = null;
|
|
|
this.#front.next = null;
|
|
|
}
|
|
|
this.#front = temp; // 更新头节点
|
|
|
this.#queSize--;
|
|
|
return value;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
peekLast() {
|
|
|
return this.#queSize === 0 ? null : this.#rear.val;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
peekFirst() {
|
|
|
return this.#queSize === 0 ? null : this.#front.val;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
size() {
|
|
|
return this.#queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
isEmpty() {
|
|
|
return this.#queSize === 0;
|
|
|
}
|
|
|
|
|
|
/* 打印双向队列 */
|
|
|
print() {
|
|
|
const arr = [];
|
|
|
let temp = this.#front;
|
|
|
while (temp !== null) {
|
|
|
arr.push(temp.val);
|
|
|
temp = temp.next;
|
|
|
}
|
|
|
console.log('[' + arr.join(', ') + ']');
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "TS"
|
|
|
|
|
|
```typescript title="linkedlist_deque.ts"
|
|
|
/* 双向链表节点 */
|
|
|
class ListNode {
|
|
|
prev: ListNode; // 前驱节点引用 (指针)
|
|
|
next: ListNode; // 后继节点引用 (指针)
|
|
|
val: number; // 节点值
|
|
|
|
|
|
constructor(val: number) {
|
|
|
this.val = val;
|
|
|
this.next = null;
|
|
|
this.prev = null;
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
class LinkedListDeque {
|
|
|
private front: ListNode; // 头节点 front
|
|
|
private rear: ListNode; // 尾节点 rear
|
|
|
private queSize: number; // 双向队列的长度
|
|
|
|
|
|
constructor() {
|
|
|
this.front = null;
|
|
|
this.rear = null;
|
|
|
this.queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队操作 */
|
|
|
pushLast(val: number): void {
|
|
|
const node: ListNode = new ListNode(val);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (this.queSize === 0) {
|
|
|
this.front = node;
|
|
|
this.rear = node;
|
|
|
} else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
this.rear.next = node;
|
|
|
node.prev = this.rear;
|
|
|
this.rear = node; // 更新尾节点
|
|
|
}
|
|
|
this.queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首入队操作 */
|
|
|
pushFirst(val: number): void {
|
|
|
const node: ListNode = new ListNode(val);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (this.queSize === 0) {
|
|
|
this.front = node;
|
|
|
this.rear = node;
|
|
|
} else {
|
|
|
// 将 node 添加至链表头部
|
|
|
this.front.prev = node;
|
|
|
node.next = this.front;
|
|
|
this.front = node; // 更新头节点
|
|
|
}
|
|
|
this.queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队操作 */
|
|
|
popLast(): number {
|
|
|
if (this.queSize === 0) {
|
|
|
return null;
|
|
|
}
|
|
|
const value: number = this.rear.val; // 存储尾节点值
|
|
|
// 删除尾节点
|
|
|
let temp: ListNode = this.rear.prev;
|
|
|
if (temp !== null) {
|
|
|
temp.next = null;
|
|
|
this.rear.prev = null;
|
|
|
}
|
|
|
this.rear = temp; // 更新尾节点
|
|
|
this.queSize--;
|
|
|
return value;
|
|
|
}
|
|
|
|
|
|
/* 队首出队操作 */
|
|
|
popFirst(): number {
|
|
|
if (this.queSize === 0) {
|
|
|
return null;
|
|
|
}
|
|
|
const value: number = this.front.val; // 存储尾节点值
|
|
|
// 删除头节点
|
|
|
let temp: ListNode = this.front.next;
|
|
|
if (temp !== null) {
|
|
|
temp.prev = null;
|
|
|
this.front.next = null;
|
|
|
}
|
|
|
this.front = temp; // 更新头节点
|
|
|
this.queSize--;
|
|
|
return value;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
peekLast(): number {
|
|
|
return this.queSize === 0 ? null : this.rear.val;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
peekFirst(): number {
|
|
|
return this.queSize === 0 ? null : this.front.val;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
size(): number {
|
|
|
return this.queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
isEmpty(): boolean {
|
|
|
return this.queSize === 0;
|
|
|
}
|
|
|
|
|
|
/* 打印双向队列 */
|
|
|
print(): void {
|
|
|
const arr: number[] = [];
|
|
|
let temp: ListNode = this.front;
|
|
|
while (temp !== null) {
|
|
|
arr.push(temp.val);
|
|
|
temp = temp.next;
|
|
|
}
|
|
|
console.log('[' + arr.join(', ') + ']');
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Dart"
|
|
|
|
|
|
```dart title="linkedlist_deque.dart"
|
|
|
/* 双向链表节点 */
|
|
|
class ListNode {
|
|
|
int val; // 节点值
|
|
|
ListNode? next; // 后继节点引用
|
|
|
ListNode? prev; // 前驱节点引用
|
|
|
|
|
|
ListNode(this.val, {this.next, this.prev});
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向对列 */
|
|
|
class LinkedListDeque {
|
|
|
late ListNode? _front; // 头节点 _front
|
|
|
late ListNode? _rear; // 尾节点 _rear
|
|
|
int _queSize = 0; // 双向队列的长度
|
|
|
|
|
|
LinkedListDeque() {
|
|
|
this._front = null;
|
|
|
this._rear = null;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列长度 */
|
|
|
int size() {
|
|
|
return this._queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
bool isEmpty() {
|
|
|
return size() == 0;
|
|
|
}
|
|
|
|
|
|
/* 入队操作 */
|
|
|
void push(int _num, bool isFront) {
|
|
|
final ListNode node = ListNode(_num);
|
|
|
if (isEmpty()) {
|
|
|
// 若链表为空，则令 _front 和 _rear 都指向 node
|
|
|
_front = _rear = node;
|
|
|
} else if (isFront) {
|
|
|
// 队首入队操作
|
|
|
// 将 node 添加至链表头部
|
|
|
_front!.prev = node;
|
|
|
node.next = _front;
|
|
|
_front = node; // 更新头节点
|
|
|
} else {
|
|
|
// 队尾入队操作
|
|
|
// 将 node 添加至链表尾部
|
|
|
_rear!.next = node;
|
|
|
node.prev = _rear;
|
|
|
_rear = node; // 更新尾节点
|
|
|
}
|
|
|
_queSize++; // 更新队列长度
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
void pushFirst(int _num) {
|
|
|
push(_num, true);
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
void pushLast(int _num) {
|
|
|
push(_num, false);
|
|
|
}
|
|
|
|
|
|
/* 出队操作 */
|
|
|
int? pop(bool isFront) {
|
|
|
// 若队列为空，直接返回 null
|
|
|
if (isEmpty()) {
|
|
|
return null;
|
|
|
}
|
|
|
final int val;
|
|
|
if (isFront) {
|
|
|
// 队首出队操作
|
|
|
val = _front!.val; // 暂存头节点值
|
|
|
// 删除头节点
|
|
|
ListNode? fNext = _front!.next;
|
|
|
if (fNext != null) {
|
|
|
fNext.prev = null;
|
|
|
_front!.next = null;
|
|
|
}
|
|
|
_front = fNext; // 更新头节点
|
|
|
} else {
|
|
|
// 队尾出队操作
|
|
|
val = _rear!.val; // 暂存尾节点值
|
|
|
// 删除尾节点
|
|
|
ListNode? rPrev = _rear!.prev;
|
|
|
if (rPrev != null) {
|
|
|
rPrev.next = null;
|
|
|
_rear!.prev = null;
|
|
|
}
|
|
|
_rear = rPrev; // 更新尾节点
|
|
|
}
|
|
|
_queSize--; // 更新队列长度
|
|
|
return val;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
int? popFirst() {
|
|
|
return pop(true);
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
int? popLast() {
|
|
|
return pop(false);
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
int? peekFirst() {
|
|
|
return _front?.val;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
int? peekLast() {
|
|
|
return _rear?.val;
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
List<int> toArray() {
|
|
|
ListNode? node = _front;
|
|
|
final List<int> res = [];
|
|
|
for (int i = 0; i < _queSize; i++) {
|
|
|
res.add(node!.val);
|
|
|
node = node.next;
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Rust"
|
|
|
|
|
|
```rust title="linkedlist_deque.rs"
|
|
|
/* 双向链表节点 */
|
|
|
pub struct ListNode<T> {
|
|
|
pub val: T, // 节点值
|
|
|
pub next: Option<Rc<RefCell<ListNode<T>>>>, // 后继节点指针
|
|
|
pub prev: Option<Rc<RefCell<ListNode<T>>>>, // 前驱节点指针
|
|
|
}
|
|
|
|
|
|
impl<T> ListNode<T> {
|
|
|
pub fn new(val: T) -> Rc<RefCell<ListNode<T>>> {
|
|
|
Rc::new(RefCell::new(ListNode {
|
|
|
val,
|
|
|
next: None,
|
|
|
prev: None,
|
|
|
}))
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
#[allow(dead_code)]
|
|
|
pub struct LinkedListDeque<T> {
|
|
|
front: Option<Rc<RefCell<ListNode<T>>>>, // 头节点 front
|
|
|
rear: Option<Rc<RefCell<ListNode<T>>>>, // 尾节点 rear
|
|
|
que_size: usize, // 双向队列的长度
|
|
|
}
|
|
|
|
|
|
impl<T: Copy> LinkedListDeque<T> {
|
|
|
pub fn new() -> Self {
|
|
|
Self {
|
|
|
front: None,
|
|
|
rear: None,
|
|
|
que_size: 0,
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
pub fn size(&self) -> usize {
|
|
|
return self.que_size;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
pub fn is_empty(&self) -> bool {
|
|
|
return self.size() == 0;
|
|
|
}
|
|
|
|
|
|
/* 入队操作 */
|
|
|
pub fn push(&mut self, num: T, is_front: bool) {
|
|
|
let node = ListNode::new(num);
|
|
|
// 队首入队操作
|
|
|
if is_front {
|
|
|
match self.front.take() {
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
None => {
|
|
|
self.rear = Some(node.clone());
|
|
|
self.front = Some(node);
|
|
|
}
|
|
|
// 将 node 添加至链表头部
|
|
|
Some(old_front) => {
|
|
|
old_front.borrow_mut().prev = Some(node.clone());
|
|
|
node.borrow_mut().next = Some(old_front);
|
|
|
self.front = Some(node); // 更新头节点
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
// 队尾入队操作
|
|
|
else {
|
|
|
match self.rear.take() {
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
None => {
|
|
|
self.front = Some(node.clone());
|
|
|
self.rear = Some(node);
|
|
|
}
|
|
|
// 将 node 添加至链表尾部
|
|
|
Some(old_rear) => {
|
|
|
old_rear.borrow_mut().next = Some(node.clone());
|
|
|
node.borrow_mut().prev = Some(old_rear);
|
|
|
self.rear = Some(node); // 更新尾节点
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
self.que_size += 1; // 更新队列长度
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
pub fn push_first(&mut self, num: T) {
|
|
|
self.push(num, true);
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
pub fn push_last(&mut self, num: T) {
|
|
|
self.push(num, false);
|
|
|
}
|
|
|
|
|
|
/* 出队操作 */
|
|
|
pub fn pop(&mut self, is_front: bool) -> Option<T> {
|
|
|
// 若队列为空，直接返回 None
|
|
|
if self.is_empty() {
|
|
|
return None
|
|
|
};
|
|
|
// 队首出队操作
|
|
|
if is_front {
|
|
|
self.front.take().map(|old_front| {
|
|
|
match old_front.borrow_mut().next.take() {
|
|
|
Some(new_front) => {
|
|
|
new_front.borrow_mut().prev.take();
|
|
|
self.front = Some(new_front); // 更新头节点
|
|
|
}
|
|
|
None => {
|
|
|
self.rear.take();
|
|
|
}
|
|
|
}
|
|
|
self.que_size -= 1; // 更新队列长度
|
|
|
Rc::try_unwrap(old_front).ok().unwrap().into_inner().val
|
|
|
})
|
|
|
|
|
|
}
|
|
|
// 队尾出队操作
|
|
|
else {
|
|
|
self.rear.take().map(|old_rear| {
|
|
|
match old_rear.borrow_mut().prev.take() {
|
|
|
Some(new_rear) => {
|
|
|
new_rear.borrow_mut().next.take();
|
|
|
self.rear = Some(new_rear); // 更新尾节点
|
|
|
}
|
|
|
None => {
|
|
|
self.front.take();
|
|
|
}
|
|
|
}
|
|
|
self.que_size -= 1; // 更新队列长度
|
|
|
Rc::try_unwrap(old_rear).ok().unwrap().into_inner().val
|
|
|
})
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
pub fn pop_first(&mut self) -> Option<T> {
|
|
|
return self.pop(true);
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
pub fn pop_last(&mut self) -> Option<T> {
|
|
|
return self.pop(false);
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
pub fn peek_first(&self) -> Option<&Rc<RefCell<ListNode<T>>>> {
|
|
|
self.front.as_ref()
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
pub fn peek_last(&self) -> Option<&Rc<RefCell<ListNode<T>>>> {
|
|
|
self.rear.as_ref()
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
pub fn to_array(&self, head: Option<&Rc<RefCell<ListNode<T>>>>) -> Vec<T> {
|
|
|
if let Some(node) = head {
|
|
|
let mut nums = self.to_array(node.borrow().next.as_ref());
|
|
|
nums.insert(0, node.borrow().val);
|
|
|
return nums;
|
|
|
}
|
|
|
return Vec::new();
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "C"
|
|
|
|
|
|
```c title="linkedlist_deque.c"
|
|
|
/* 双向链表节点 */
|
|
|
typedef struct DoublyListNode {
|
|
|
int val; // 节点值
|
|
|
struct DoublyListNode *next; // 后继节点
|
|
|
struct DoublyListNode *prev; // 前驱节点
|
|
|
} DoublyListNode;
|
|
|
|
|
|
/* 构造函数 */
|
|
|
DoublyListNode *newDoublyListNode(int num) {
|
|
|
DoublyListNode *new = (DoublyListNode *)malloc(sizeof(DoublyListNode));
|
|
|
new->val = num;
|
|
|
new->next = NULL;
|
|
|
new->prev = NULL;
|
|
|
return new;
|
|
|
}
|
|
|
|
|
|
/* 析构函数 */
|
|
|
void delDoublyListNode(DoublyListNode *node) {
|
|
|
free(node);
|
|
|
}
|
|
|
|
|
|
/* 基于双向链表实现的双向队列 */
|
|
|
typedef struct {
|
|
|
DoublyListNode *front, *rear; // 头节点 front ，尾节点 rear
|
|
|
int queSize; // 双向队列的长度
|
|
|
} LinkedListDeque;
|
|
|
|
|
|
/* 构造函数 */
|
|
|
LinkedListDeque *newLinkedListDeque() {
|
|
|
LinkedListDeque *deque = (LinkedListDeque *)malloc(sizeof(LinkedListDeque));
|
|
|
deque->front = NULL;
|
|
|
deque->rear = NULL;
|
|
|
deque->queSize = 0;
|
|
|
return deque;
|
|
|
}
|
|
|
|
|
|
/* 析构函数 */
|
|
|
void delLinkedListdeque(LinkedListDeque *deque) {
|
|
|
// 释放所有节点
|
|
|
for (int i = 0; i < deque->queSize && deque->front != NULL; i++) {
|
|
|
DoublyListNode *tmp = deque->front;
|
|
|
deque->front = deque->front->next;
|
|
|
free(tmp);
|
|
|
}
|
|
|
// 释放 deque 结构体
|
|
|
free(deque);
|
|
|
}
|
|
|
|
|
|
/* 获取队列的长度 */
|
|
|
int size(LinkedListDeque *deque) {
|
|
|
return deque->queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断队列是否为空 */
|
|
|
bool empty(LinkedListDeque *deque) {
|
|
|
return (size(deque) == 0);
|
|
|
}
|
|
|
|
|
|
/* 入队 */
|
|
|
void push(LinkedListDeque *deque, int num, bool isFront) {
|
|
|
DoublyListNode *node = newDoublyListNode(num);
|
|
|
// 若链表为空，则令 front 和 rear 都指向node
|
|
|
if (empty(deque)) {
|
|
|
deque->front = deque->rear = node;
|
|
|
}
|
|
|
// 队首入队操作
|
|
|
else if (isFront) {
|
|
|
// 将 node 添加至链表头部
|
|
|
deque->front->prev = node;
|
|
|
node->next = deque->front;
|
|
|
deque->front = node; // 更新头节点
|
|
|
}
|
|
|
// 队尾入队操作
|
|
|
else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
deque->rear->next = node;
|
|
|
node->prev = deque->rear;
|
|
|
deque->rear = node;
|
|
|
}
|
|
|
deque->queSize++; // 更新队列长度
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
void pushFirst(LinkedListDeque *deque, int num) {
|
|
|
push(deque, num, true);
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
void pushLast(LinkedListDeque *deque, int num) {
|
|
|
push(deque, num, false);
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
int peekFirst(LinkedListDeque *deque) {
|
|
|
assert(size(deque) && deque->front);
|
|
|
return deque->front->val;
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
int peekLast(LinkedListDeque *deque) {
|
|
|
assert(size(deque) && deque->rear);
|
|
|
return deque->rear->val;
|
|
|
}
|
|
|
|
|
|
/* 出队 */
|
|
|
int pop(LinkedListDeque *deque, bool isFront) {
|
|
|
if (empty(deque))
|
|
|
return -1;
|
|
|
int val;
|
|
|
// 队首出队操作
|
|
|
if (isFront) {
|
|
|
val = peekFirst(deque); // 暂存头节点值
|
|
|
DoublyListNode *fNext = deque->front->next;
|
|
|
if (fNext) {
|
|
|
fNext->prev = NULL;
|
|
|
deque->front->next = NULL;
|
|
|
delDoublyListNode(deque->front);
|
|
|
}
|
|
|
deque->front = fNext; // 更新头节点
|
|
|
}
|
|
|
// 队尾出队操作
|
|
|
else {
|
|
|
val = peekLast(deque); // 暂存尾节点值
|
|
|
DoublyListNode *rPrev = deque->rear->prev;
|
|
|
if (rPrev) {
|
|
|
rPrev->next = NULL;
|
|
|
deque->rear->prev = NULL;
|
|
|
delDoublyListNode(deque->rear);
|
|
|
}
|
|
|
deque->rear = rPrev; // 更新尾节点
|
|
|
}
|
|
|
deque->queSize--; // 更新队列长度
|
|
|
return val;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
int popFirst(LinkedListDeque *deque) {
|
|
|
return pop(deque, true);
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
int popLast(LinkedListDeque *deque) {
|
|
|
return pop(deque, false);
|
|
|
}
|
|
|
|
|
|
/* 打印队列 */
|
|
|
void printLinkedListDeque(LinkedListDeque *deque) {
|
|
|
int *arr = malloc(sizeof(int) * deque->queSize);
|
|
|
// 拷贝链表中的数据到数组
|
|
|
int i;
|
|
|
DoublyListNode *node;
|
|
|
for (i = 0, node = deque->front; i < deque->queSize; i++) {
|
|
|
arr[i] = node->val;
|
|
|
node = node->next;
|
|
|
}
|
|
|
printArray(arr, deque->queSize);
|
|
|
free(arr);
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Zig"
|
|
|
|
|
|
```zig title="linkedlist_deque.zig"
|
|
|
// 双向链表节点
|
|
|
fn ListNode(comptime T: type) type {
|
|
|
return struct {
|
|
|
const Self = @This();
|
|
|
|
|
|
val: T = undefined, // 节点值
|
|
|
next: ?*Self = null, // 后继节点指针
|
|
|
prev: ?*Self = null, // 前驱节点指针
|
|
|
|
|
|
// Initialize a list node with specific value
|
|
|
pub fn init(self: *Self, x: i32) void {
|
|
|
self.val = x;
|
|
|
self.next = null;
|
|
|
self.prev = null;
|
|
|
}
|
|
|
};
|
|
|
}
|
|
|
|
|
|
// 基于双向链表实现的双向队列
|
|
|
fn LinkedListDeque(comptime T: type) type {
|
|
|
return struct {
|
|
|
const Self = @This();
|
|
|
|
|
|
front: ?*ListNode(T) = null, // 头节点 front
|
|
|
rear: ?*ListNode(T) = null, // 尾节点 rear
|
|
|
que_size: usize = 0, // 双向队列的长度
|
|
|
mem_arena: ?std.heap.ArenaAllocator = null,
|
|
|
mem_allocator: std.mem.Allocator = undefined, // 内存分配器
|
|
|
|
|
|
// 构造函数（分配内存+初始化队列）
|
|
|
pub fn init(self: *Self, allocator: std.mem.Allocator) !void {
|
|
|
if (self.mem_arena == null) {
|
|
|
self.mem_arena = std.heap.ArenaAllocator.init(allocator);
|
|
|
self.mem_allocator = self.mem_arena.?.allocator();
|
|
|
}
|
|
|
self.front = null;
|
|
|
self.rear = null;
|
|
|
self.que_size = 0;
|
|
|
}
|
|
|
|
|
|
// 析构函数（释放内存）
|
|
|
pub fn deinit(self: *Self) void {
|
|
|
if (self.mem_arena == null) return;
|
|
|
self.mem_arena.?.deinit();
|
|
|
}
|
|
|
|
|
|
// 获取双向队列的长度
|
|
|
pub fn size(self: *Self) usize {
|
|
|
return self.que_size;
|
|
|
}
|
|
|
|
|
|
// 判断双向队列是否为空
|
|
|
pub fn isEmpty(self: *Self) bool {
|
|
|
return self.size() == 0;
|
|
|
}
|
|
|
|
|
|
// 入队操作
|
|
|
pub fn push(self: *Self, num: T, is_front: bool) !void {
|
|
|
var node = try self.mem_allocator.create(ListNode(T));
|
|
|
node.init(num);
|
|
|
// 若链表为空，则令 front 和 rear 都指向 node
|
|
|
if (self.isEmpty()) {
|
|
|
self.front = node;
|
|
|
self.rear = node;
|
|
|
// 队首入队操作
|
|
|
} else if (is_front) {
|
|
|
// 将 node 添加至链表头部
|
|
|
self.front.?.prev = node;
|
|
|
node.next = self.front;
|
|
|
self.front = node; // 更新头节点
|
|
|
// 队尾入队操作
|
|
|
} else {
|
|
|
// 将 node 添加至链表尾部
|
|
|
self.rear.?.next = node;
|
|
|
node.prev = self.rear;
|
|
|
self.rear = node; // 更新尾节点
|
|
|
}
|
|
|
self.que_size += 1; // 更新队列长度
|
|
|
}
|
|
|
|
|
|
// 队首入队
|
|
|
pub fn pushFirst(self: *Self, num: T) !void {
|
|
|
try self.push(num, true);
|
|
|
}
|
|
|
|
|
|
// 队尾入队
|
|
|
pub fn pushLast(self: *Self, num: T) !void {
|
|
|
try self.push(num, false);
|
|
|
}
|
|
|
|
|
|
// 出队操作
|
|
|
pub fn pop(self: *Self, is_front: bool) T {
|
|
|
if (self.isEmpty()) @panic("双向队列为空");
|
|
|
var val: T = undefined;
|
|
|
// 队首出队操作
|
|
|
if (is_front) {
|
|
|
val = self.front.?.val; // 暂存头节点值
|
|
|
// 删除头节点
|
|
|
var fNext = self.front.?.next;
|
|
|
if (fNext != null) {
|
|
|
fNext.?.prev = null;
|
|
|
self.front.?.next = null;
|
|
|
}
|
|
|
self.front = fNext; // 更新头节点
|
|
|
// 队尾出队操作
|
|
|
} else {
|
|
|
val = self.rear.?.val; // 暂存尾节点值
|
|
|
// 删除尾节点
|
|
|
var rPrev = self.rear.?.prev;
|
|
|
if (rPrev != null) {
|
|
|
rPrev.?.next = null;
|
|
|
self.rear.?.prev = null;
|
|
|
}
|
|
|
self.rear = rPrev; // 更新尾节点
|
|
|
}
|
|
|
self.que_size -= 1; // 更新队列长度
|
|
|
return val;
|
|
|
}
|
|
|
|
|
|
// 队首出队
|
|
|
pub fn popFirst(self: *Self) T {
|
|
|
return self.pop(true);
|
|
|
}
|
|
|
|
|
|
// 队尾出队
|
|
|
pub fn popLast(self: *Self) T {
|
|
|
return self.pop(false);
|
|
|
}
|
|
|
|
|
|
// 访问队首元素
|
|
|
pub fn peekFirst(self: *Self) T {
|
|
|
if (self.isEmpty()) @panic("双向队列为空");
|
|
|
return self.front.?.val;
|
|
|
}
|
|
|
|
|
|
// 访问队尾元素
|
|
|
pub fn peekLast(self: *Self) T {
|
|
|
if (self.isEmpty()) @panic("双向队列为空");
|
|
|
return self.rear.?.val;
|
|
|
}
|
|
|
|
|
|
// 返回数组用于打印
|
|
|
pub fn toArray(self: *Self) ![]T {
|
|
|
var node = self.front;
|
|
|
var res = try self.mem_allocator.alloc(T, self.size());
|
|
|
@memset(res, @as(T, 0));
|
|
|
var i: usize = 0;
|
|
|
while (i < res.len) : (i += 1) {
|
|
|
res[i] = node.?.val;
|
|
|
node = node.?.next;
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
};
|
|
|
}
|
|
|
```
|
|
|
|
|
|
### 2. 基于数组的实现
|
|
|
|
|
|
如图 5-9 所示，与基于数组实现队列类似，我们也可以使用环形数组来实现双向队列。
|
|
|
|
|
|
=== "ArrayDeque"
|
|
|
{ class="animation-figure" }
|
|
|
|
|
|
=== "push_last()"
|
|
|
{ class="animation-figure" }
|
|
|
|
|
|
=== "push_first()"
|
|
|
{ class="animation-figure" }
|
|
|
|
|
|
=== "pop_last()"
|
|
|
{ class="animation-figure" }
|
|
|
|
|
|
=== "pop_first()"
|
|
|
{ class="animation-figure" }
|
|
|
|
|
|
<p align="center"> 图 5-9 基于数组实现双向队列的入队出队操作 </p>
|
|
|
|
|
|
在队列的实现基础上，仅需增加“队首入队”和“队尾出队”的方法：
|
|
|
|
|
|
=== "Python"
|
|
|
|
|
|
```python title="array_deque.py"
|
|
|
class ArrayDeque:
|
|
|
"""基于环形数组实现的双向队列"""
|
|
|
|
|
|
def __init__(self, capacity: int):
|
|
|
"""构造方法"""
|
|
|
self._nums: list[int] = [0] * capacity
|
|
|
self._front: int = 0
|
|
|
self._size: int = 0
|
|
|
|
|
|
def capacity(self) -> int:
|
|
|
"""获取双向队列的容量"""
|
|
|
return len(self._nums)
|
|
|
|
|
|
def size(self) -> int:
|
|
|
"""获取双向队列的长度"""
|
|
|
return self._size
|
|
|
|
|
|
def is_empty(self) -> bool:
|
|
|
"""判断双向队列是否为空"""
|
|
|
return self._size == 0
|
|
|
|
|
|
def index(self, i: int) -> int:
|
|
|
"""计算环形数组索引"""
|
|
|
# 通过取余操作实现数组首尾相连
|
|
|
# 当 i 越过数组尾部后，回到头部
|
|
|
# 当 i 越过数组头部后，回到尾部
|
|
|
return (i + self.capacity()) % self.capacity()
|
|
|
|
|
|
def push_first(self, num: int):
|
|
|
"""队首入队"""
|
|
|
if self._size == self.capacity():
|
|
|
print("双向队列已满")
|
|
|
return
|
|
|
# 队首指针向左移动一位
|
|
|
# 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
self._front = self.index(self._front - 1)
|
|
|
# 将 num 添加至队首
|
|
|
self._nums[self._front] = num
|
|
|
self._size += 1
|
|
|
|
|
|
def push_last(self, num: int):
|
|
|
"""队尾入队"""
|
|
|
if self._size == self.capacity():
|
|
|
print("双向队列已满")
|
|
|
return
|
|
|
# 计算队尾指针，指向队尾索引 + 1
|
|
|
rear = self.index(self._front + self._size)
|
|
|
# 将 num 添加至队尾
|
|
|
self._nums[rear] = num
|
|
|
self._size += 1
|
|
|
|
|
|
def pop_first(self) -> int:
|
|
|
"""队首出队"""
|
|
|
num = self.peek_first()
|
|
|
# 队首指针向后移动一位
|
|
|
self._front = self.index(self._front + 1)
|
|
|
self._size -= 1
|
|
|
return num
|
|
|
|
|
|
def pop_last(self) -> int:
|
|
|
"""队尾出队"""
|
|
|
num = self.peek_last()
|
|
|
self._size -= 1
|
|
|
return num
|
|
|
|
|
|
def peek_first(self) -> int:
|
|
|
"""访问队首元素"""
|
|
|
if self.is_empty():
|
|
|
raise IndexError("双向队列为空")
|
|
|
return self._nums[self._front]
|
|
|
|
|
|
def peek_last(self) -> int:
|
|
|
"""访问队尾元素"""
|
|
|
if self.is_empty():
|
|
|
raise IndexError("双向队列为空")
|
|
|
# 计算尾元素索引
|
|
|
last = self.index(self._front + self._size - 1)
|
|
|
return self._nums[last]
|
|
|
|
|
|
def to_array(self) -> list[int]:
|
|
|
"""返回数组用于打印"""
|
|
|
# 仅转换有效长度范围内的列表元素
|
|
|
res = []
|
|
|
for i in range(self._size):
|
|
|
res.append(self._nums[self.index(self._front + i)])
|
|
|
return res
|
|
|
```
|
|
|
|
|
|
=== "C++"
|
|
|
|
|
|
```cpp title="array_deque.cpp"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
private:
|
|
|
vector<int> nums; // 用于存储双向队列元素的数组
|
|
|
int front; // 队首指针，指向队首元素
|
|
|
int queSize; // 双向队列长度
|
|
|
|
|
|
public:
|
|
|
/* 构造方法 */
|
|
|
ArrayDeque(int capacity) {
|
|
|
nums.resize(capacity);
|
|
|
front = queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
int capacity() {
|
|
|
return nums.size();
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
int size() {
|
|
|
return queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
bool isEmpty() {
|
|
|
return queSize == 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
int index(int i) {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + capacity()) % capacity();
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
void pushFirst(int num) {
|
|
|
if (queSize == capacity()) {
|
|
|
cout << "双向队列已满" << endl;
|
|
|
return;
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
front = index(front - 1);
|
|
|
// 将 num 添加至队首
|
|
|
nums[front] = num;
|
|
|
queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
void pushLast(int num) {
|
|
|
if (queSize == capacity()) {
|
|
|
cout << "双向队列已满" << endl;
|
|
|
return;
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
int rear = index(front + queSize);
|
|
|
// 将 num 添加至队尾
|
|
|
nums[rear] = num;
|
|
|
queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
int popFirst() {
|
|
|
int num = peekFirst();
|
|
|
// 队首指针向后移动一位
|
|
|
front = index(front + 1);
|
|
|
queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
int popLast() {
|
|
|
int num = peekLast();
|
|
|
queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
int peekFirst() {
|
|
|
if (isEmpty())
|
|
|
throw out_of_range("双向队列为空");
|
|
|
return nums[front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
int peekLast() {
|
|
|
if (isEmpty())
|
|
|
throw out_of_range("双向队列为空");
|
|
|
// 计算尾元素索引
|
|
|
int last = index(front + queSize - 1);
|
|
|
return nums[last];
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
vector<int> toVector() {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
vector<int> res(queSize);
|
|
|
for (int i = 0, j = front; i < queSize; i++, j++) {
|
|
|
res[i] = nums[index(j)];
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
};
|
|
|
```
|
|
|
|
|
|
=== "Java"
|
|
|
|
|
|
```java title="array_deque.java"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
private int[] nums; // 用于存储双向队列元素的数组
|
|
|
private int front; // 队首指针，指向队首元素
|
|
|
private int queSize; // 双向队列长度
|
|
|
|
|
|
/* 构造方法 */
|
|
|
public ArrayDeque(int capacity) {
|
|
|
this.nums = new int[capacity];
|
|
|
front = queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
public int capacity() {
|
|
|
return nums.length;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
public int size() {
|
|
|
return queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
public boolean isEmpty() {
|
|
|
return queSize == 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
private int index(int i) {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + capacity()) % capacity();
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
public void pushFirst(int num) {
|
|
|
if (queSize == capacity()) {
|
|
|
System.out.println("双向队列已满");
|
|
|
return;
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
front = index(front - 1);
|
|
|
// 将 num 添加至队首
|
|
|
nums[front] = num;
|
|
|
queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
public void pushLast(int num) {
|
|
|
if (queSize == capacity()) {
|
|
|
System.out.println("双向队列已满");
|
|
|
return;
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
int rear = index(front + queSize);
|
|
|
// 将 num 添加至队尾
|
|
|
nums[rear] = num;
|
|
|
queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
public int popFirst() {
|
|
|
int num = peekFirst();
|
|
|
// 队首指针向后移动一位
|
|
|
front = index(front + 1);
|
|
|
queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
public int popLast() {
|
|
|
int num = peekLast();
|
|
|
queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
public int peekFirst() {
|
|
|
if (isEmpty())
|
|
|
throw new IndexOutOfBoundsException();
|
|
|
return nums[front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
public int peekLast() {
|
|
|
if (isEmpty())
|
|
|
throw new IndexOutOfBoundsException();
|
|
|
// 计算尾元素索引
|
|
|
int last = index(front + queSize - 1);
|
|
|
return nums[last];
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
public int[] toArray() {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
int[] res = new int[queSize];
|
|
|
for (int i = 0, j = front; i < queSize; i++, j++) {
|
|
|
res[i] = nums[index(j)];
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "C#"
|
|
|
|
|
|
```csharp title="array_deque.cs"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
int[] nums; // 用于存储双向队列元素的数组
|
|
|
int front; // 队首指针，指向队首元素
|
|
|
int queSize; // 双向队列长度
|
|
|
|
|
|
/* 构造方法 */
|
|
|
public ArrayDeque(int capacity) {
|
|
|
nums = new int[capacity];
|
|
|
front = queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
int Capacity() {
|
|
|
return nums.Length;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
public int Size() {
|
|
|
return queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
public bool IsEmpty() {
|
|
|
return queSize == 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
int Index(int i) {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + Capacity()) % Capacity();
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
public void PushFirst(int num) {
|
|
|
if (queSize == Capacity()) {
|
|
|
Console.WriteLine("双向队列已满");
|
|
|
return;
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
front = Index(front - 1);
|
|
|
// 将 num 添加至队首
|
|
|
nums[front] = num;
|
|
|
queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
public void PushLast(int num) {
|
|
|
if (queSize == Capacity()) {
|
|
|
Console.WriteLine("双向队列已满");
|
|
|
return;
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
int rear = Index(front + queSize);
|
|
|
// 将 num 添加至队尾
|
|
|
nums[rear] = num;
|
|
|
queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
public int PopFirst() {
|
|
|
int num = PeekFirst();
|
|
|
// 队首指针向后移动一位
|
|
|
front = Index(front + 1);
|
|
|
queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
public int PopLast() {
|
|
|
int num = PeekLast();
|
|
|
queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
public int PeekFirst() {
|
|
|
if (IsEmpty()) {
|
|
|
throw new InvalidOperationException();
|
|
|
}
|
|
|
return nums[front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
public int PeekLast() {
|
|
|
if (IsEmpty()) {
|
|
|
throw new InvalidOperationException();
|
|
|
}
|
|
|
// 计算尾元素索引
|
|
|
int last = Index(front + queSize - 1);
|
|
|
return nums[last];
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
public int[] ToArray() {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
int[] res = new int[queSize];
|
|
|
for (int i = 0, j = front; i < queSize; i++, j++) {
|
|
|
res[i] = nums[Index(j)];
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Go"
|
|
|
|
|
|
```go title="array_deque.go"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
type arrayDeque struct {
|
|
|
nums []int // 用于存储双向队列元素的数组
|
|
|
front int // 队首指针，指向队首元素
|
|
|
queSize int // 双向队列长度
|
|
|
queCapacity int // 队列容量（即最大容纳元素数量）
|
|
|
}
|
|
|
|
|
|
/* 初始化队列 */
|
|
|
func newArrayDeque(queCapacity int) *arrayDeque {
|
|
|
return &arrayDeque{
|
|
|
nums: make([]int, queCapacity),
|
|
|
queCapacity: queCapacity,
|
|
|
front: 0,
|
|
|
queSize: 0,
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
func (q *arrayDeque) size() int {
|
|
|
return q.queSize
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
func (q *arrayDeque) isEmpty() bool {
|
|
|
return q.queSize == 0
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
func (q *arrayDeque) index(i int) int {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + q.queCapacity) % q.queCapacity
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
func (q *arrayDeque) pushFirst(num int) {
|
|
|
if q.queSize == q.queCapacity {
|
|
|
fmt.Println("双向队列已满")
|
|
|
return
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
q.front = q.index(q.front - 1)
|
|
|
// 将 num 添加至队首
|
|
|
q.nums[q.front] = num
|
|
|
q.queSize++
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
func (q *arrayDeque) pushLast(num int) {
|
|
|
if q.queSize == q.queCapacity {
|
|
|
fmt.Println("双向队列已满")
|
|
|
return
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
rear := q.index(q.front + q.queSize)
|
|
|
// 将 num 添加至队首
|
|
|
q.nums[rear] = num
|
|
|
q.queSize++
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
func (q *arrayDeque) popFirst() any {
|
|
|
num := q.peekFirst()
|
|
|
// 队首指针向后移动一位
|
|
|
q.front = q.index(q.front + 1)
|
|
|
q.queSize--
|
|
|
return num
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
func (q *arrayDeque) popLast() any {
|
|
|
num := q.peekLast()
|
|
|
q.queSize--
|
|
|
return num
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
func (q *arrayDeque) peekFirst() any {
|
|
|
if q.isEmpty() {
|
|
|
return nil
|
|
|
}
|
|
|
return q.nums[q.front]
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
func (q *arrayDeque) peekLast() any {
|
|
|
if q.isEmpty() {
|
|
|
return nil
|
|
|
}
|
|
|
// 计算尾元素索引
|
|
|
last := q.index(q.front + q.queSize - 1)
|
|
|
return q.nums[last]
|
|
|
}
|
|
|
|
|
|
/* 获取 Slice 用于打印 */
|
|
|
func (q *arrayDeque) toSlice() []int {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
res := make([]int, q.queSize)
|
|
|
for i, j := 0, q.front; i < q.queSize; i++ {
|
|
|
res[i] = q.nums[q.index(j)]
|
|
|
j++
|
|
|
}
|
|
|
return res
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Swift"
|
|
|
|
|
|
```swift title="array_deque.swift"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
private var nums: [Int] // 用于存储双向队列元素的数组
|
|
|
private var front: Int // 队首指针，指向队首元素
|
|
|
private var queSize: Int // 双向队列长度
|
|
|
|
|
|
/* 构造方法 */
|
|
|
init(capacity: Int) {
|
|
|
nums = Array(repeating: 0, count: capacity)
|
|
|
front = 0
|
|
|
queSize = 0
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
func capacity() -> Int {
|
|
|
nums.count
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
func size() -> Int {
|
|
|
queSize
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
func isEmpty() -> Bool {
|
|
|
size() == 0
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
private func index(i: Int) -> Int {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
(i + capacity()) % capacity()
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
func pushFirst(num: Int) {
|
|
|
if size() == capacity() {
|
|
|
print("双向队列已满")
|
|
|
return
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
front = index(i: front - 1)
|
|
|
// 将 num 添加至队首
|
|
|
nums[front] = num
|
|
|
queSize += 1
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
func pushLast(num: Int) {
|
|
|
if size() == capacity() {
|
|
|
print("双向队列已满")
|
|
|
return
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
let rear = index(i: front + size())
|
|
|
// 将 num 添加至队尾
|
|
|
nums[rear] = num
|
|
|
queSize += 1
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
func popFirst() -> Int {
|
|
|
let num = peekFirst()
|
|
|
// 队首指针向后移动一位
|
|
|
front = index(i: front + 1)
|
|
|
queSize -= 1
|
|
|
return num
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
func popLast() -> Int {
|
|
|
let num = peekLast()
|
|
|
queSize -= 1
|
|
|
return num
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
func peekFirst() -> Int {
|
|
|
if isEmpty() {
|
|
|
fatalError("双向队列为空")
|
|
|
}
|
|
|
return nums[front]
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
func peekLast() -> Int {
|
|
|
if isEmpty() {
|
|
|
fatalError("双向队列为空")
|
|
|
}
|
|
|
// 计算尾元素索引
|
|
|
let last = index(i: front + size() - 1)
|
|
|
return nums[last]
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
func toArray() -> [Int] {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
var res = Array(repeating: 0, count: size())
|
|
|
for (i, j) in sequence(first: (0, front), next: { $0 < self.size() - 1 ? ($0 + 1, $1 + 1) : nil }) {
|
|
|
res[i] = nums[index(i: j)]
|
|
|
}
|
|
|
return res
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "JS"
|
|
|
|
|
|
```javascript title="array_deque.js"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
#nums; // 用于存储双向队列元素的数组
|
|
|
#front; // 队首指针，指向队首元素
|
|
|
#queSize; // 双向队列长度
|
|
|
|
|
|
/* 构造方法 */
|
|
|
constructor(capacity) {
|
|
|
this.#nums = new Array(capacity);
|
|
|
this.#front = 0;
|
|
|
this.#queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
capacity() {
|
|
|
return this.#nums.length;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
size() {
|
|
|
return this.#queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
isEmpty() {
|
|
|
return this.#queSize === 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
index(i) {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + this.capacity()) % this.capacity();
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
pushFirst(num) {
|
|
|
if (this.#queSize === this.capacity()) {
|
|
|
console.log('双向队列已满');
|
|
|
return;
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
this.#front = this.index(this.#front - 1);
|
|
|
// 将 num 添加至队首
|
|
|
this.#nums[this.#front] = num;
|
|
|
this.#queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
pushLast(num) {
|
|
|
if (this.#queSize === this.capacity()) {
|
|
|
console.log('双向队列已满');
|
|
|
return;
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
const rear = this.index(this.#front + this.#queSize);
|
|
|
// 将 num 添加至队尾
|
|
|
this.#nums[rear] = num;
|
|
|
this.#queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
popFirst() {
|
|
|
const num = this.peekFirst();
|
|
|
// 队首指针向后移动一位
|
|
|
this.#front = this.index(this.#front + 1);
|
|
|
this.#queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
popLast() {
|
|
|
const num = this.peekLast();
|
|
|
this.#queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
peekFirst() {
|
|
|
if (this.isEmpty()) throw new Error('The Deque Is Empty.');
|
|
|
return this.#nums[this.#front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
peekLast() {
|
|
|
if (this.isEmpty()) throw new Error('The Deque Is Empty.');
|
|
|
// 计算尾元素索引
|
|
|
const last = this.index(this.#front + this.#queSize - 1);
|
|
|
return this.#nums[last];
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
toArray() {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
const res = [];
|
|
|
for (let i = 0, j = this.#front; i < this.#queSize; i++, j++) {
|
|
|
res[i] = this.#nums[this.index(j)];
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "TS"
|
|
|
|
|
|
```typescript title="array_deque.ts"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
private nums: number[]; // 用于存储双向队列元素的数组
|
|
|
private front: number; // 队首指针，指向队首元素
|
|
|
private queSize: number; // 双向队列长度
|
|
|
|
|
|
/* 构造方法 */
|
|
|
constructor(capacity: number) {
|
|
|
this.nums = new Array(capacity);
|
|
|
this.front = 0;
|
|
|
this.queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
capacity(): number {
|
|
|
return this.nums.length;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
size(): number {
|
|
|
return this.queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
isEmpty(): boolean {
|
|
|
return this.queSize === 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
index(i: number): number {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + this.capacity()) % this.capacity();
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
pushFirst(num: number): void {
|
|
|
if (this.queSize === this.capacity()) {
|
|
|
console.log('双向队列已满');
|
|
|
return;
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
this.front = this.index(this.front - 1);
|
|
|
// 将 num 添加至队首
|
|
|
this.nums[this.front] = num;
|
|
|
this.queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
pushLast(num: number): void {
|
|
|
if (this.queSize === this.capacity()) {
|
|
|
console.log('双向队列已满');
|
|
|
return;
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
const rear: number = this.index(this.front + this.queSize);
|
|
|
// 将 num 添加至队尾
|
|
|
this.nums[rear] = num;
|
|
|
this.queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
popFirst(): number {
|
|
|
const num: number = this.peekFirst();
|
|
|
// 队首指针向后移动一位
|
|
|
this.front = this.index(this.front + 1);
|
|
|
this.queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
popLast(): number {
|
|
|
const num: number = this.peekLast();
|
|
|
this.queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
peekFirst(): number {
|
|
|
if (this.isEmpty()) throw new Error('The Deque Is Empty.');
|
|
|
return this.nums[this.front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
peekLast(): number {
|
|
|
if (this.isEmpty()) throw new Error('The Deque Is Empty.');
|
|
|
// 计算尾元素索引
|
|
|
const last = this.index(this.front + this.queSize - 1);
|
|
|
return this.nums[last];
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
toArray(): number[] {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
const res: number[] = [];
|
|
|
for (let i = 0, j = this.front; i < this.queSize; i++, j++) {
|
|
|
res[i] = this.nums[this.index(j)];
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Dart"
|
|
|
|
|
|
```dart title="array_deque.dart"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
class ArrayDeque {
|
|
|
late List<int> _nums; // 用于存储双向队列元素的数组
|
|
|
late int _front; // 队首指针，指向队首元素
|
|
|
late int _queSize; // 双向队列长度
|
|
|
|
|
|
/* 构造方法 */
|
|
|
ArrayDeque(int capacity) {
|
|
|
this._nums = List.filled(capacity, 0);
|
|
|
this._front = this._queSize = 0;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
int capacity() {
|
|
|
return _nums.length;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
int size() {
|
|
|
return _queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
bool isEmpty() {
|
|
|
return _queSize == 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
int index(int i) {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return (i + capacity()) % capacity();
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
void pushFirst(int _num) {
|
|
|
if (_queSize == capacity()) {
|
|
|
throw Exception("双向队列已满");
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 _front 越过数组头部后回到尾部
|
|
|
_front = index(_front - 1);
|
|
|
// 将 _num 添加至队首
|
|
|
_nums[_front] = _num;
|
|
|
_queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
void pushLast(int _num) {
|
|
|
if (_queSize == capacity()) {
|
|
|
throw Exception("双向队列已满");
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
int rear = index(_front + _queSize);
|
|
|
// 将 _num 添加至队尾
|
|
|
_nums[rear] = _num;
|
|
|
_queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
int popFirst() {
|
|
|
int _num = peekFirst();
|
|
|
// 队首指针向右移动一位
|
|
|
_front = index(_front + 1);
|
|
|
_queSize--;
|
|
|
return _num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
int popLast() {
|
|
|
int _num = peekLast();
|
|
|
_queSize--;
|
|
|
return _num;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
int peekFirst() {
|
|
|
if (isEmpty()) {
|
|
|
throw Exception("双向队列为空");
|
|
|
}
|
|
|
return _nums[_front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
int peekLast() {
|
|
|
if (isEmpty()) {
|
|
|
throw Exception("双向队列为空");
|
|
|
}
|
|
|
// 计算尾元素索引
|
|
|
int last = index(_front + _queSize - 1);
|
|
|
return _nums[last];
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
List<int> toArray() {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
List<int> res = List.filled(_queSize, 0);
|
|
|
for (int i = 0, j = _front; i < _queSize; i++, j++) {
|
|
|
res[i] = _nums[index(j)];
|
|
|
}
|
|
|
return res;
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "Rust"
|
|
|
|
|
|
```rust title="array_deque.rs"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
struct ArrayDeque {
|
|
|
nums: Vec<i32>, // 用于存储双向队列元素的数组
|
|
|
front: usize, // 队首指针，指向队首元素
|
|
|
que_size: usize, // 双向队列长度
|
|
|
}
|
|
|
|
|
|
impl ArrayDeque {
|
|
|
/* 构造方法 */
|
|
|
pub fn new(capacity: usize) -> Self {
|
|
|
Self {
|
|
|
nums: vec![0; capacity],
|
|
|
front: 0,
|
|
|
que_size: 0,
|
|
|
}
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
pub fn capacity(&self) -> usize {
|
|
|
self.nums.len()
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
pub fn size(&self) -> usize {
|
|
|
self.que_size
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
pub fn is_empty(&self) -> bool {
|
|
|
self.que_size == 0
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
fn index(&self, i: i32) -> usize {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部后，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return ((i + self.capacity() as i32) % self.capacity() as i32) as usize;
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
pub fn push_first(&mut self, num: i32) {
|
|
|
if self.que_size == self.capacity() {
|
|
|
println!("双向队列已满");
|
|
|
return
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部后回到尾部
|
|
|
self.front = self.index(self.front as i32 - 1);
|
|
|
// 将 num 添加至队首
|
|
|
self.nums[self.front] = num;
|
|
|
self.que_size += 1;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
pub fn push_last(&mut self, num: i32) {
|
|
|
if self.que_size == self.capacity() {
|
|
|
println!("双向队列已满");
|
|
|
return
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
let rear = self.index(self.front as i32 + self.que_size as i32);
|
|
|
// 将 num 添加至队尾
|
|
|
self.nums[rear] = num;
|
|
|
self.que_size += 1;
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
fn pop_first(&mut self) -> i32 {
|
|
|
let num = self.peek_first();
|
|
|
// 队首指针向后移动一位
|
|
|
self.front = self.index(self.front as i32 + 1);
|
|
|
self.que_size -= 1;
|
|
|
num
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
fn pop_last(&mut self) -> i32 {
|
|
|
let num = self.peek_last();
|
|
|
self.que_size -= 1;
|
|
|
num
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
fn peek_first(&self) -> i32 {
|
|
|
if self.is_empty() { panic!("双向队列为空") };
|
|
|
self.nums[self.front]
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
fn peek_last(&self) -> i32 {
|
|
|
if self.is_empty() { panic!("双向队列为空") };
|
|
|
// 计算尾元素索引
|
|
|
let last = self.index(self.front as i32 + self.que_size as i32 - 1);
|
|
|
self.nums[last]
|
|
|
}
|
|
|
|
|
|
/* 返回数组用于打印 */
|
|
|
fn to_array(&self) -> Vec<i32> {
|
|
|
// 仅转换有效长度范围内的列表元素
|
|
|
let mut res = vec![0; self.que_size];
|
|
|
let mut j = self.front;
|
|
|
for i in 0..self.que_size {
|
|
|
res[i] = self.nums[self.index(j as i32)];
|
|
|
j += 1;
|
|
|
}
|
|
|
res
|
|
|
}
|
|
|
}
|
|
|
```
|
|
|
|
|
|
=== "C"
|
|
|
|
|
|
```c title="array_deque.c"
|
|
|
/* 基于环形数组实现的双向队列 */
|
|
|
typedef struct {
|
|
|
int *nums; // 用于存储队列元素的数组
|
|
|
int front; // 队首指针，指向队首元素
|
|
|
int queSize; // 尾指针，指向队尾 + 1
|
|
|
int queCapacity; // 队列容量
|
|
|
} ArrayDeque;
|
|
|
|
|
|
/* 构造函数 */
|
|
|
ArrayDeque *newArrayDeque(int capacity) {
|
|
|
ArrayDeque *deque = (ArrayDeque *)malloc(sizeof(ArrayDeque));
|
|
|
// 初始化数组
|
|
|
deque->queCapacity = capacity;
|
|
|
deque->nums = (int *)malloc(sizeof(int) * deque->queCapacity);
|
|
|
deque->front = deque->queSize = 0;
|
|
|
return deque;
|
|
|
}
|
|
|
|
|
|
/* 析构函数 */
|
|
|
void delArrayDeque(ArrayDeque *deque) {
|
|
|
free(deque->nums);
|
|
|
free(deque);
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的容量 */
|
|
|
int capacity(ArrayDeque *deque) {
|
|
|
return deque->queCapacity;
|
|
|
}
|
|
|
|
|
|
/* 获取双向队列的长度 */
|
|
|
int size(ArrayDeque *deque) {
|
|
|
return deque->queSize;
|
|
|
}
|
|
|
|
|
|
/* 判断双向队列是否为空 */
|
|
|
bool empty(ArrayDeque *deque) {
|
|
|
return deque->queSize == 0;
|
|
|
}
|
|
|
|
|
|
/* 计算环形数组索引 */
|
|
|
int dequeIndex(ArrayDeque *deque, int i) {
|
|
|
// 通过取余操作实现数组首尾相连
|
|
|
// 当 i 越过数组尾部时，回到头部
|
|
|
// 当 i 越过数组头部后，回到尾部
|
|
|
return ((i + capacity(deque)) % capacity(deque));
|
|
|
}
|
|
|
|
|
|
/* 队首入队 */
|
|
|
void pushFirst(ArrayDeque *deque, int num) {
|
|
|
if (deque->queSize == capacity(deque)) {
|
|
|
printf("双向队列已满\r\n");
|
|
|
return;
|
|
|
}
|
|
|
// 队首指针向左移动一位
|
|
|
// 通过取余操作实现 front 越过数组头部回到尾部
|
|
|
deque->front = dequeIndex(deque, deque->front - 1);
|
|
|
// 将 num 添加到队首
|
|
|
deque->nums[deque->front] = num;
|
|
|
deque->queSize++;
|
|
|
}
|
|
|
|
|
|
/* 队尾入队 */
|
|
|
void pushLast(ArrayDeque *deque, int num) {
|
|
|
if (deque->queSize == capacity(deque)) {
|
|
|
printf("双向队列已满\r\n");
|
|
|
return;
|
|
|
}
|
|
|
// 计算队尾指针，指向队尾索引 + 1
|
|
|
int rear = dequeIndex(deque, deque->front + deque->queSize);
|
|
|
// 将 num 添加至队尾
|
|
|
deque->nums[rear] = num;
|
|
|
deque->queSize++;
|
|
|
}
|
|
|
|
|
|
/* 访问队首元素 */
|
|
|
int peekFirst(ArrayDeque *deque) {
|
|
|
// 访问异常：双向队列为空
|
|
|
assert(empty(deque) == 0);
|
|
|
return deque->nums[deque->front];
|
|
|
}
|
|
|
|
|
|
/* 访问队尾元素 */
|
|
|
int peekLast(ArrayDeque *deque) {
|
|
|
// 访问异常：双向队列为空
|
|
|
assert(empty(deque) == 0);
|
|
|
int last = dequeIndex(deque, deque->front + deque->queSize - 1);
|
|
|
return deque->nums[last];
|
|
|
}
|
|
|
|
|
|
/* 队首出队 */
|
|
|
int popFirst(ArrayDeque *deque) {
|
|
|
int num = peekFirst(deque);
|
|
|
// 队首指针向后移动一位
|
|
|
deque->front = dequeIndex(deque, deque->front + 1);
|
|
|
deque->queSize--;
|
|
|
return num;
|
|
|
}
|
|
|
|
|
|
/* 队尾出队 */
|
|
|
int popLast(ArrayDeque *deque) {
|
|
|
int num = peekLast(deque);
|
|
|
deque->queSize--;
|
|
|
return num;
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}
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```
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=== "Zig"
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```zig title="array_deque.zig"
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[class]{ArrayDeque}-[func]{}
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```
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## 5.3.3 双向队列应用
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双向队列兼具栈与队列的逻辑，**因此它可以实现这两者的所有应用场景，同时提供更高的自由度**。
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我们知道，软件的“撤销”功能通常使用栈来实现：系统将每次更改操作 `push` 到栈中，然后通过 `pop` 实现撤销。然而，考虑到系统资源的限制，软件通常会限制撤销的步数（例如仅允许保存 $50$ 步）。当栈的长度超过 $50$ 时，软件需要在栈底（队首）执行删除操作。**但栈无法实现该功能，此时就需要使用双向队列来替代栈**。请注意，“撤销”的核心逻辑仍然遵循栈的先入后出原则，只是双向队列能够更加灵活地实现一些额外逻辑。
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