算法 - 栈和队列

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2023-12-01

// java
public interface MyStack extends Iterable {

    MyStack push(Item item);

    Item pop() throws Exception;

    boolean isEmpty();

    int size();

}

1. 数组实现

// java
public class ArrayStack implements MyStack {

    // 栈元素数组,只能通过转型来创建泛型数组
    private Item[] a = (Item[]) new Object[1];

    // 元素数量
    private int N = 0;


    @Override
    public MyStack push(Item item) {
        check();
        a[N++] = item;
        return this;
    }


    @Override
    public Item pop() throws Exception {

        if (isEmpty()) {
            throw new Exception("stack is empty");
        }

        Item item = a[--N];

        check();

        // 避免对象游离
        a[N] = null;

        return item;
    }


    private void check() {

        if (N >= a.length) {
            resize(2 * a.length);

        } else if (N > 0 && N <= a.length="" 4)="" {="" resize(a.length="" 2);="" }="" **="" *="" 调整数组大小,使得栈具有伸缩性="" private="" void="" resize(int="" size)="" item[]="" tmp="(Item[])" new="" object[size];="" for="" (int="" i="0;" <="" n;="" i++)="" tmp[i]="a[i];" a="tmp;" @override="" public="" boolean="" isempty()="" return="" n="=" 0;="" int="" size()="" iterator iterator() {

        // 返回逆序遍历的迭代器
        return new Iterator() {

            private int i = N;

            @Override
            public boolean hasNext() {
                return i > 0;
            }

            @Override
            public Item next() {
                return a[--i];
            }
        };

    }
}

2. 链表实现

需要使用链表的头插法来实现,因为头插法中最后压入栈的元素在链表的开头,它的 next 指针指向前一个压入栈的元素,在弹出元素时就可以通过 next 指针遍历到前一个压入栈的元素从而让这个元素成为新的栈顶元素。

// java
public class ListStack implements MyStack {

    private Node top = null;
    private int N = 0;


    private class Node {
        Item item;
        Node next;
    }


    @Override
    public MyStack push(Item item) {

        Node newTop = new Node();

        newTop.item = item;
        newTop.next = top;

        top = newTop;

        N++;

        return this;
    }


    @Override
    public Item pop() throws Exception {

        if (isEmpty()) {
            throw new Exception("stack is empty");
        }

        Item item = top.item;

        top = top.next;
        N--;

        return item;
    }


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


    @Override
    public int size() {
        return N;
    }


    @Override
    public Iterator iterator() {

        return new Iterator() {

            private Node cur = top;


            @Override
            public boolean hasNext() {
                return cur != null;
            }


            @Override
            public Item next() {
                Item item = cur.item;
                cur = cur.next;
                return item;
            }
        };

    }
}

队列

下面是队列的链表实现,需要维护 first 和 last 节点指针,分别指向队首和队尾。

这里需要考虑 first 和 last 指针哪个作为链表的开头。因为出队列操作需要让队首元素的下一个元素成为队首,所以需要容易获取下一个元素,而链表的头部节点的 next 指针指向下一个元素,因此可以让 first 指针链表的开头。

// java
public interface MyQueue extends Iterable {

    int size();

    boolean isEmpty();

    MyQueue add(Item item);

    Item remove() throws Exception;
}
// java
public class ListQueue implements MyQueue {

    private Node first;
    private Node last;
    int N = 0;


    private class Node {
        Item item;
        Node next;
    }


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


    @Override
    public int size() {
        return N;
    }


    @Override
    public MyQueue add(Item item) {

        Node newNode = new Node();
        newNode.item = item;
        newNode.next = null;

        if (isEmpty()) {
            last = newNode;
            first = newNode;
        } else {
            last.next = newNode;
            last = newNode;
        }

        N++;
        return this;
    }


    @Override
    public Item remove() throws Exception {

        if (isEmpty()) {
            throw new Exception("queue is empty");
        }

        Node node = first;
        first = first.next;
        N--;

        if (isEmpty()) {
            last = null;
        }

        return node.item;
    }


    @Override
    public Iterator iterator() {

        return new Iterator() {

            Node cur = first;


            @Override
            public boolean hasNext() {
                return cur != null;
            }


            @Override
            public Item next() {
                Item item = cur.item;
                cur = cur.next;
                return item;
            }
        };
    }
}