2018-04-19 19:28:21 股票问题是leetcode里一条非常经典的题目,因为其具有一定的现实意义,所以还是在数学建模方面还是有很多用武之地的.这里会对stock的给出一个比较通用的解法,然后会针对各个细分问题用通解去解决,主要采用的算法是动态规划算法. 问题描述:Given an array representing the price of stock on each day, what determines the maximum profit we can obtain?…

二维剪板机下料问题(2-D Guillotine Cutting Stock Problem) 的混合整数规划精确求解——数学规划的计算智能特征 二维剪板机下料(2D-GCSP) 的混合整数规划是最优美的整数规划模型之一.以往很多人认为像2D-GCSP这样的问题由于本质上的递归性,很难建立成混合整数规划模型,但是持这种观点的人忽略了数学规划的智能特征.所谓计算智能是如果将问题描述给机器,则机器可以自行得到问题的结果.例如很多元启发算法都被称为计算智能算法,就是因为他们好像能够通用性地解决一些问题…

Say you have an array for which the ith element is the price of a given stock on day i. Design an algorithm to find the maximum profit. You may complete as many transactions as you like (ie, buy one and sell one share of the stock multiple times) wit…

Say you have an array for which the ith element is the price of a given stock on day i. Design an algorithm to find the maximum profit. You may complete at most k transactions. Note: You may not engage in multiple transactions at the same time (ie, y…

Say you have an array for which the ith element is the price of a given stock on day i. Design an algorithm to find the maximum profit. You may complete at most two transactions. Note: You may not engage in multiple transactions at the same time (ie,…

Note: this is a repost(重新投寄) of my original post here with updated solutions(解决方案) for this problem (714. Best Time to Buy and Sell Stock with Transaction Fee). If you are only looking for solutions, you can go directly to each section in part II - A…

Say you have an array for which the ith element is the price of a given stock on day i. Design an algorithm to find the maximum profit. You may complete as many transactions as you like (ie, buy one and sell one share of the stock multiple times). Ho…

Say you have an array for which the ith element is the price of a given stock on day i. If you were only permitted to complete at most one transaction (ie, buy one and sell one share of the stock), design an algorithm to find the maximum profit. Exam…

Codeforces Round #598 (Div. 3)- E. Yet Another Division Into Teams - 动态规划 [Problem Description] 给你\(n\)个数,将其划分为多组,对于每个组定义其\(d\)值为 组内的最大值减最小值,问如何划分使得最终所有组的\(d\)值之和最小.每个组至少要保证有\(3\)个数. [Solution] 将所有值从小到大排序,然后我们知道最多有\(5\)个人划分到同一组中,如果有\(6\)个人,那么划分为两组一定比…

2019-ACM-ICPC-南京区网络赛-D. Robots-DAG图上概率动态规划 [Problem Description] ​ 有向无环图中,有个机器人从\(1\)号节点出发,每天等概率的走到下一个节点或者停在当前节点,并且第\(i\)天消耗\(i\)的耐久度.求它到达\(n\)号节点时期望消耗的耐久度是多少? ​ 题目保证只有一个入度为\(0\)的节点,只有一个出度为\(0\)的节点. [Solution] ​ 概率\(dp\). ​ 假设每天消耗\(1\)点耐久度.定义\(dp[u]\…