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@@ -285,6 +285,12 @@ comments: true
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bool isEmpty = queue.isEmpty;
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```
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=== "Rust"
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```rust title="queue.rs"
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```
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## 5.2.2. 队列实现
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为了实现队列,我们需要一种数据结构,可以在一端添加元素,并在另一端删除元素。因此,链表和数组都可以用来实现队列。
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@@ -1090,6 +1096,88 @@ comments: true
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}
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```
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=== "Rust"
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```rust title="linkedlist_queue.rs"
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/* 基于链表实现的队列 */
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#[allow(dead_code)]
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pub struct LinkedListQueue<T> {
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front: Option<Rc<RefCell<ListNode<T>>>>, // 头节点 front
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rear: Option<Rc<RefCell<ListNode<T>>>>, // 尾节点 rear
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que_size: usize, // 队列的长度
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}
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impl<T: Copy> LinkedListQueue<T> {
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pub fn new() -> Self {
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Self {
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front: None,
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rear: None,
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que_size: 0,
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}
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}
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/* 获取队列的长度 */
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pub fn size(&self) -> usize {
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return self.que_size;
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}
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/* 判断队列是否为空 */
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pub fn is_empty(&self) -> bool {
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return self.size() == 0;
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}
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/* 入队 */
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pub fn push(&mut self, num: T) {
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// 尾节点后添加 num
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let new_rear = ListNode::new(num);
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match self.rear.take() {
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// 如果队列不为空,则将该节点添加到尾节点后
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Some(old_rear) => {
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old_rear.borrow_mut().next = Some(new_rear.clone());
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self.rear = Some(new_rear);
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}
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// 如果队列为空,则令头、尾节点都指向该节点
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None => {
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self.front = Some(new_rear.clone());
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self.rear = Some(new_rear);
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}
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}
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self.que_size += 1;
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}
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/* 出队 */
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pub fn pop(&mut self) -> Option<T> {
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self.front.take().map(|old_front| {
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match old_front.borrow_mut().next.take() {
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Some(new_front) => {
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self.front = Some(new_front);
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}
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None => {
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self.rear.take();
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}
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}
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self.que_size -= 1;
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Rc::try_unwrap(old_front).ok().unwrap().into_inner().val
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})
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}
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/* 访问队首元素 */
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pub fn peek(&self) -> Option<&Rc<RefCell<ListNode<T>>>> {
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self.front.as_ref()
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}
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/* 将链表转化为 Array 并返回 */
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pub fn to_array(&self, head: Option<&Rc<RefCell<ListNode<T>>>>) -> Vec<T> {
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if let Some(node) = head {
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let mut nums = self.to_array(node.borrow().next.as_ref());
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nums.insert(0, node.borrow().val);
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return nums;
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}
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return Vec::new();
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}
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}
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```
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### 基于数组的实现
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由于数组删除首元素的时间复杂度为 $O(n)$ ,这会导致出队操作效率较低。然而,我们可以采用以下巧妙方法来避免这个问题。
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@@ -1927,6 +2015,88 @@ comments: true
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}
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```
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=== "Rust"
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```rust title="array_queue.rs"
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/* 基于环形数组实现的队列 */
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struct ArrayQueue {
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nums: Vec<i32>, // 用于存储队列元素的数组
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front: i32, // 队首指针,指向队首元素
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que_size: i32, // 队列长度
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que_capacity: i32, // 队列容量
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}
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impl ArrayQueue {
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/* 构造方法 */
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fn new(capacity: i32) -> ArrayQueue {
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ArrayQueue {
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nums: vec![0; capacity as usize],
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front: 0,
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que_size: 0,
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que_capacity: capacity,
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}
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}
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/* 获取队列的容量 */
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fn capacity(&self) -> i32 {
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self.que_capacity
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}
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/* 获取队列的长度 */
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fn size(&self) -> i32 {
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self.que_size
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}
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/* 判断队列是否为空 */
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fn is_empty(&self) -> bool {
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self.que_size == 0
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}
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/* 入队 */
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fn push(&mut self, num: i32) {
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if self.que_size == self.capacity() {
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println!("队列已满");
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return;
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}
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// 计算尾指针,指向队尾索引 + 1
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// 通过取余操作,实现 rear 越过数组尾部后回到头部
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let rear = (self.front + self.que_size) % self.que_capacity;
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// 将 num 添加至队尾
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self.nums[rear as usize] = num;
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self.que_size += 1;
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}
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/* 出队 */
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fn pop(&mut self) -> i32 {
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let num = self.peek();
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// 队首指针向后移动一位,若越过尾部则返回到数组头部
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self.front = (self.front + 1) % self.que_capacity;
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self.que_size -= 1;
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num
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}
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/* 访问队首元素 */
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fn peek(&self) -> i32 {
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if self.is_empty() {
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panic!("index out of bounds");
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}
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self.nums[self.front as usize]
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}
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/* 返回数组 */
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fn to_vector(&self) -> Vec<i32> {
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let cap = self.que_capacity;
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let mut j = self.front;
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let mut arr = vec![0; self.que_size as usize];
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for i in 0..self.que_size {
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arr[i as usize] = self.nums[(j % cap) as usize];
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j += 1;
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}
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arr
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}
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}
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```
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以上实现的队列仍然具有局限性,即其长度不可变。然而,这个问题不难解决,我们可以将数组替换为动态数组,从而引入扩容机制。有兴趣的同学可以尝试自行实现。
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两种实现的对比结论与栈一致,在此不再赘述。
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