【数据结构与算法】双端队列

2024-09-26 08:53:29 浏览数 (1)

2.6 双端队列

1) 概述

双端队列、队列、栈对比

定义

特点

队列

一端删除(头)另一端添加(尾)

First In First Out

一端删除和添加(顶)

Last In First Out

双端队列

两端都可以删除、添加

优先级队列

优先级高者先出队

延时队列

根据延时时间确定优先级

并发非阻塞队列

队列空或满时不阻塞

并发阻塞队列

队列空时删除阻塞、队列满时添加阻塞

注1:

  • Java 中 LinkedList 即为典型双端队列实现,不过它同时实现了 Queue 接口,也提供了栈的 push pop 等方法

注2:

  • 不同语言,操作双端队列的方法命名有所不同,参见下表 操作JavaJavaScriptC leetCode 641尾部插入offerLastpushpush_backinsertLast头部插入offerFirstunshiftpush_frontinsertFront尾部移除pollLastpoppop_backdeleteLast头部移除pollFirstshiftpop_frontdeleteFront尾部获取peekLastat(-1)backgetRear头部获取peekFirstat(0)frontgetFront
  • 吐槽一下 leetCode 命名比较 low
  • 常见的单词还有 enqueue 入队、dequeue 出队

接口定义

代码语言:javascript复制
public interface Deque<E> {

    boolean offerFirst(E e);

    boolean offerLast(E e);

    E pollFirst();

    E pollLast();

    E peekFirst();

    E peekLast();
    
    boolean isEmpty();

    boolean isFull();
}
2) 链表实现
代码语言:javascript复制
/**
 * 基于环形链表的双端队列
 * @param <E> 元素类型
 */
public class LinkedListDeque<E> implements Deque<E>, Iterable<E> {

    @Override
    public boolean offerFirst(E e) {
        if (isFull()) {
            return false;
        }
        size  ;
        Node<E> a = sentinel;
        Node<E> b = sentinel.next;
        Node<E> offered = new Node<>(a, e, b);
        a.next = offered;
        b.prev = offered;
        return true;
    }

    @Override
    public boolean offerLast(E e) {
        if (isFull()) {
            return false;
        }
        size  ;
        Node<E> a = sentinel.prev;
        Node<E> b = sentinel;
        Node<E> offered = new Node<>(a, e, b);
        a.next = offered;
        b.prev = offered;
        return true;
    }

    @Override
    public E pollFirst() {
        if (isEmpty()) {
            return null;
        }
        Node<E> a = sentinel;
        Node<E> polled = sentinel.next;
        Node<E> b = polled.next;
        a.next = b;
        b.prev = a;
        size--;
        return polled.value;
    }

    @Override
    public E pollLast() {
        if (isEmpty()) {
            return null;
        }
        Node<E> polled = sentinel.prev;
        Node<E> a = polled.prev;
        Node<E> b = sentinel;
        a.next = b;
        b.prev = a;
        size--;
        return polled.value;
    }

    @Override
    public E peekFirst() {
        if (isEmpty()) {
            return null;
        }
        return sentinel.next.value;
    }

    @Override
    public E peekLast() {
        if (isEmpty()) {
            return null;
        }
        return sentinel.prev.value;
    }

    @Override
    public boolean isEmpty() {
        return size == 0;
    }

    @Override
    public boolean isFull() {
        return size == capacity;
    }

    @Override
    public Iterator<E> iterator() {
        return new Iterator<E>() {
            Node<E> p = sentinel.next;
            @Override
            public boolean hasNext() {
                return p != sentinel;
            }

            @Override
            public E next() {
                E value = p.value;
                p = p.next;
                return value;
            }
        };
    }

    static class Node<E> {
        Node<E> prev;
        E value;
        Node<E> next;

        public Node(Node<E> prev, E value, Node<E> next) {
            this.prev = prev;
            this.value = value;
            this.next = next;
        }
    }

    Node<E> sentinel = new Node<>(null, null, null);
    int capacity;
    int size;

    public LinkedListDeque(int capacity) {
        sentinel.next = sentinel;
        sentinel.prev = sentinel;
        this.capacity = capacity;
    }
}
3) 数组实现
代码语言:javascript复制
/**
 * 基于循环数组实现, 特点
 * <ul>
 *     <li>tail 停下来的位置不存储, 会浪费一个位置</li>
 * </ul>
 * @param <E>
 */
public class ArrayDeque1<E> implements Deque<E>, Iterable<E> {

    /*
                    h
            t
        0   1   2   3
        b           a
     */
    @Override
    public boolean offerFirst(E e) {
        if (isFull()) {
            return false;
        }
        head = dec(head, array.length);
        array[head] = e;
        return true;
    }

    @Override
    public boolean offerLast(E e) {
        if (isFull()) {
            return false;
        }
        array[tail] = e;
        tail = inc(tail, array.length);
        return true;
    }

    @Override
    public E pollFirst() {
        if (isEmpty()) {
            return null;
        }
        E e = array[head];
        array[head] = null;
        head = inc(head, array.length);
        return e;
    }

    @Override
    public E pollLast() {
        if (isEmpty()) {
            return null;
        }
        tail = dec(tail, array.length);
        E e = array[tail];
        array[tail] = null;
        return e;
    }

    @Override
    public E peekFirst() {
        if (isEmpty()) {
            return null;
        }
        return array[head];
    }

    @Override
    public E peekLast() {
        if (isEmpty()) {
            return null;
        }
        return array[dec(tail, array.length)];
    }

    @Override
    public boolean isEmpty() {
        return head == tail;
    }

    @Override
    public boolean isFull() {
        if (tail > head) {
            return tail - head == array.length - 1;
        } else if (tail < head) {
            return head - tail == 1;
        } else {
            return false;
        }
    }

    @Override
    public Iterator<E> iterator() {
        return new Iterator<E>() {
            int p = head;
            @Override
            public boolean hasNext() {
                return p != tail;
            }

            @Override
            public E next() {
                E e = array[p];
                p = inc(p, array.length);
                return e;
            }
        };
    }

    E[] array;
    int head;
    int tail;

    @SuppressWarnings("unchecked")
    public ArrayDeque1(int capacity) {
        array = (E[]) new Object[capacity   1];
    }

    static int inc(int i, int length) {
        if (i   1 >= length) {
            return 0;
        }
        return i   1;
    }

    static int dec(int i, int length) {
        if (i - 1 < 0) {
            return length - 1;
        }
        return i - 1;
    }
}

数组实现中,如果存储的是基本类型,那么无需考虑内存释放,例如

在这里插入图片描述在这里插入图片描述

但如果存储的是引用类型,应当设置该位置的引用为 null,以便内存及时释放

在这里插入图片描述在这里插入图片描述
习题
E01. 二叉树 Z 字层序遍历-Leetcode 103
代码语言:javascript复制
public class E01Leetcode103 {
    public List<List<Integer>> zigzagLevelOrder(TreeNode root) {
        List<List<Integer>> result = new ArrayList<>();
        if (root == null) {
            return result;
        }
        LinkedList<TreeNode> queue = new LinkedList<>();
        queue.offer(root);
        boolean leftToRight = true;
        int c1 = 1;
        while (!queue.isEmpty()) {
            int c2 = 0;
            LinkedList<Integer> deque = new LinkedList<>();
            for (int i = 0; i < c1; i  ) {
                TreeNode n = queue.poll();
                if (leftToRight) {
                    deque.offerLast(n.val);
                } else {
                    deque.offerFirst(n.val);
                }
                if (n.left != null) {
                    queue.offer(n.left);
                    c2  ;
                }
                if (n.right != null) {
                    queue.offer(n.right);
                    c2  ;
                }
            }
            c1 = c2;
            leftToRight = !leftToRight;
            result.add(deque);
        }

        return result;
    }

    public static void main(String[] args) {
        TreeNode root = new TreeNode(
                new TreeNode(
                        new TreeNode(4),
                        2,
                        new TreeNode(5)
                ),
                1,
                new TreeNode(
                        new TreeNode(6),
                        3,
                        new TreeNode(7)
                )
        );
        List<List<Integer>> lists = new E01Leetcode103().zigzagLevelOrder(root);
        for (List<Integer> list : lists) {
            System.out.println(list);
        }
    }
}

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