[算法]求栈中最小元素

Python算法——用O(1)的时间复杂度求栈中最小元素 要求: 由于栈具有后进先出(Last In First Out, LIFO)的特点,因此 push 和 pop 只需要对栈顶元素进行操作,只能访问到栈顶元素,而无法得到栈中最小的元素。那么,如何求栈中最小元素呢? 解析: 1.利用一个变量记录栈底的位置,通过遍历栈中的所有元素找出最小值。但是这种方法的时间复杂度为 O(n)。 2.使用两个栈结构,一... 阅读详情

如何用O(1)的时间复杂度求栈中最小元素


解题思路:

我们经常会采用空间换取时间提高时间复杂度。我们可以使用两个栈结构,一个栈用来存储数据,另一个栈用来存储栈中的最小元素。思路如下:如果当前入栈的元素比原来栈中的最小值还小,则把这个值压入保存最小元素的栈中;在出栈时,如果当前入栈的元素恰好为当前栈中的最小值,保存最小值的栈顶元素也出栈,使得当前最小值变为其入栈之前的那个最小值。

实现代码如下:

package 求栈中最小元素;
/**
 * 用链表方式实现栈
 * @author dream
 *
 * @param <E>
 */
public class MyStack<E> {

    Node<E> top = null;

    public boolean isEmpty(){
        return top == null;
    }

    public void push(E data){
        Node<E> newNode = 
【算法分析与设计】求最大、最小元素的平均比较次数 上机实验–求最大、最小元素的的平均比较次数 编写一个程序,随机产生20以内的10个整数,设计一个高效算法寻找其中最大最小元素,统计元素间比较次数。并调用该算法执行10次并求元素的平均比较次数。 #include<stdio.h> #include<stdlib.h> #include<time.h> #define MAXN 10 void randa(int ... 阅读详情

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