225.implement-stack-using-queues


225. 用队列实现栈

使用队列实现栈的下列操作:

  • push(x) -- 元素 x 入栈
  • pop() -- 移除栈顶元素
  • top() -- 获取栈顶元素
  • empty() -- 返回栈是否为空

注意:

  • 你只能使用队列的基本操作-- 也就是 push to back, peek/pop from front, size, 和 is empty 这些操作是合法的。
  • 你所使用的语言也许不支持队列。 你可以使用 list 或者 deque(双端队列)来模拟一个队列 , 只要是标准的队列操作即可。
  • 你可以假设所有操作都是有效的(例如, 对一个空的栈不会调用 pop 或者 top 操作)。

解法一

用两个队列模拟栈

入队 O(1) 出队 O(n)

class MyStack {

    private static Queue<Integer> q1;
    private static Queue<Integer> q2;

    /** Initialize your data structure here. */
    public MyStack() {
        q1 = new LinkedList<>();
        q2 = new LinkedList<>();
    }

    /** Push element x onto stack. */
    public void push(int x) {
        q1.offer(x);
    }

    /** Removes the element on top of the stack and returns that element. */
    public int pop() {
        while(q1.size() > 1) {
            q2.offer(q1.poll());
        }
        int result = q1.poll();

        Queue tmp = q1;
        q1 = q2;
        q2 = tmp;

        return result;
    }

    /** Get the top element. */
    public int top() {
        while(q1.size() > 1) {
            q2.offer(q1.poll());
        }
        int result = q1.peek();
        q2.offer(q1.poll());

        Queue tmp = q1;
        q1 = q2;
        q2 = tmp;

        return result;
    }

    /** Returns whether the stack is empty. */
    public boolean empty() {
        return q1.isEmpty() && q2.isEmpty();
    }
}

/**
 * Your MyStack object will be instantiated and called as such:
 * MyStack obj = new MyStack();
 * obj.push(x);
 * int param_2 = obj.pop();
 * int param_3 = obj.top();
 * boolean param_4 = obj.empty();
 */

优化

用两个队列模拟栈 增加一个 top

class MyStack {

    private static Queue<Integer> q1;
    private static Queue<Integer> q2;
    private int top;

    /** Initialize your data structure here. */
    public MyStack() {
        q1 = new LinkedList<>();
        q2 = new LinkedList<>();
    }

    /** Push element x onto stack. */
    public void push(int x) {
        q1.offer(x);
        top = x;
    }

    /** Removes the element on top of the stack and returns that element. */
    public int pop() {
        while(q1.size() > 1) {
            top = q1.poll();
            q2.offer(top);
        }
        int result = q1.poll();

        Queue tmp = q1;
        q1 = q2;
        q2 = tmp;

        return result;
    }

    /** Get the top element. */
    public int top() {
        return top;
    }

    /** Returns whether the stack is empty. */
    public boolean empty() {
        return q1.isEmpty() && q2.isEmpty();
    }
}

/**
 * Your MyStack object will be instantiated and called as such:
 * MyStack obj = new MyStack();
 * obj.push(x);
 * int param_2 = obj.pop();
 * int param_3 = obj.top();
 * boolean param_4 = obj.empty();
 */

解法二

用两个队列模拟栈

入队 O(1)
出队 O(n)

class MyStack {

    private static Queue<Integer> q1;
    private static Queue<Integer> q2;
    private int top;

    /** Initialize your data structure here. */
    public MyStack() {
        q1 = new LinkedList<>();
        q2 = new LinkedList<>();
    }

    /** Push element x onto stack. */
    public void push(int x) {
        q2.offer(x);

        while(q1.size() > 0) q2.offer(q1.poll());
        Queue<Integer> tmp = q1;
        q1 = q2;
        q2 = tmp;

        top = x;
    }

    /** Removes the element on top of the stack and returns that element. */
    public int pop() {
        return q1.poll();
    }

    /** Get the top element. */
    public int top() {
        return q1.peek();
    }

    /** Returns whether the stack is empty. */
    public boolean empty() {
        return q1.isEmpty() && q2.isEmpty();
    }
}

/**
 * Your MyStack object will be instantiated and called as such:
 * MyStack obj = new MyStack();
 * obj.push(x);
 * int param_2 = obj.pop();
 * int param_3 = obj.top();
 * boolean param_4 = obj.empty();
 */

解法三

用一个队列

入队:O(n)
出队:O(1)

class MyStack {

    private static Queue<Integer> queue;

    /** Initialize your data structure here. */
    public MyStack() {
        queue = new LinkedList<>();
    }

    /** Push element x onto stack. */
    public void push(int x) {
        queue.offer(x);
        int size = queue.size();
        while(size > 1) {
            queue.offer(queue.poll());
            size--;
        };
    }

    /** Removes the element on top of the stack and returns that element. */
    public int pop() {
        return queue.poll();
    }

    /** Get the top element. */
    public int top() {
        return queue.peek();
    }

    /** Returns whether the stack is empty. */
    public boolean empty() {
        return queue.isEmpty();
    }
}

/**
 * Your MyStack object will be instantiated and called as such:
 * MyStack obj = new MyStack();
 * obj.push(x);
 * int param_2 = obj.pop();
 * int param_3 = obj.top();
 * boolean param_4 = obj.empty();
 */