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栈的定义及特性

  • 栈的定义: 栈(stack)是一个数据集合,可以理解为只能在一端进行插入或删除操作的列表

  • 栈的特点: 后进先出(last-in, first-out)简称LIFO表。类似一摞书

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栈的概念和基本操作

栈的概念:

  • 栈顶: 允许插入和删除的这一端称为栈顶

  • 栈底: 另外固定的一端称为栈底

  • 空栈: 不含任何元素的栈称为空栈

栈的基本操作:

  • 进栈(压栈):push

  • 出栈: pop

  • 取栈顶:gettop(查看栈顶元素,但不取走)

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实现

实现一个栈,要求这个栈具有push()、pop()(返回栈顶元素并出栈)、peek()(返回栈顶元素不出栈)、isEmpty()、size()这些基本方法

注意:每次入栈之前需要先判断栈的容量是否够用,如果不够就用Arrays.copyOf()进行扩容:

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public class MyStack {
    private int[] storage; //存放栈中元素的数组
    private int capacity; //栈的容量
    private int count; //栈中元素数量
    private static final int GROW_FACTOR = 2;

    //TODO: 不带初始容量的构造方法,默认容量为8
    public MyStack() {
        this.capacity = 8;
        this.storage = new int[8];
        this.count = 0;
    }

    //TODO:带初始容量的构造方法
    public MyStack(int initialCapacity) {
        if (initialCapacity < 1) 
            throw new IllegalArgumentException("Capacity too small.");
        
        this.capacity = initialCapacity;
        this.storage = new int[initialCapacity];
        this.count = 0;
    }

    //TODO: 入栈
    public void push(int value) {
        if (count == capacity) {
            ensureCapacity();
        }
        storage[count++] = value;
    }

    //TODO: 确保容量大小
    public void ensureCapacity() {
        int newCapacity = capacity * GROW_FACTOR;
        storage = Arrays.copeOf(storage, newCapacity);
        capacity = newCapacity;
    }

    //TODO:返回栈顶元素并出栈
    private int pop() {
        count--;
        if (count == -1)
            throw new IllegalArgumentException("Stack is empty.");
        
        return storage[count];
    }

    //TODO:返回栈顶元素不出栈
    private int peek() {
        if (count == 0) {
            throw new IllegalArgumentException("Stack is empty");
        } else {
            return storage[count - 1];
        }
    }

    //TODO:判断栈是否为空
    private boolean isEmpty() {
        return count == 0;
    }

    //TODO:返回栈中元素的个数
    private int size() {
        return count;
    }
}

验证

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    public static void main(String[] args) {
        MyStack myStack = new MyStack();
        for(int i = 1; i< 9; i++) {
            myStack.push(i);
        }

        System.out.println(myStack.peek()); //8
        System.out.println(myStack.size()); //8

        for(int i = 0; i < 8; i++) {
            System.out.println(myStack.pop());
        }
        System.out.println(myStack.isEmpty()); //true
        myStack.pop(); //Exception java.lang.IllegalArgumentException: Stack is empty
    }

参考资料

An empty street, A empty house, A hole inside my heart.