S-Nim Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 4091    Accepted Submission(s): 1760 Problem Description Arthur and his sister Caroll have been playing a game called Nim for some time now…

[更新] Nim游戏的经验: 每次最多取m个——%(m+1) 阶梯nim——奇数位无视,看偶数位互相独立,成一堆一堆的石子 . . . . 既然被征召去汇总算法..那么挑个简单点的SG函数好了.. 介绍:{ SG函数是解Nim游戏的一个很好的...'思路'么? Nim游戏是博弈论的一个经典模型,指两个人轮流操作,且双方的操作条件一样(如:中国象棋就不是,因为先手只能动黑子,不能动红子),不能操作的人输(大多是这样..) ..在这个前提下,一个'当前局面'就可以用某个SG值来表示. } 简单的性质…

S-Nim Time Limit: 1000MS   Memory Limit: 32768KB   64bit IO Format: %I64d & %I64u Submit Status Description Arthur and his sister Caroll have been playing a game called Nim for some time now. Nim is played as follows: The starting position has a numb…

S-Nim Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 10368    Accepted Submission(s): 4262 题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1536 Descripion: Arthur and his sister Caroll have been…

A Simple Nim Problem Description   Two players take turns picking candies from n heaps,the player who picks the last one will win the game.On each turn they can pick any number of candies which come from the same heap(picking no candy is not allowed)…

sg 函数 参考 通俗易懂 论文 几类经典的博弈问题 阶梯博弈: 只考虑奇数号楼梯Nim,若偶数楼梯只作容器,那么游戏变为Nim.题目 翻转硬币: 局面的SG值为局面中每个正面朝上的棋子单一存在时的SG值的异或和.题目 Multi-SG游戏: 对于一个单一游戏,不同的方法可能会将其分成不同的多个单一游戏.每一方法对应的多个单一游戏的游戏的和即可以表示这种方法的NP状态.而这个单一游戏的SG函数即为未在所有方法的SG函数值中出现过的最小值.题目 Anti-SG游戏和SJ定理 (在论文中有详细的论述…

http://acm.hdu.edu.cn/showproblem.php?pid=1536 给出能够取的方法序列,然后求基本石子堆问题. 只要用S序列去做转移即可. 注意has初始化的一些技巧 #include <iostream> #include <vector> #include <set> #include <cstdlib> #define LL long long using namespace std; ,NM=; int sg[N]; bo…

A Simple Nim Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Problem Description Two players take turns picking candies from n heaps,the player who picks the last one will win the game.On each turn they can pick an…

Nim or not Nim? Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 623    Accepted Submission(s): 288 Problem Description Nim is a two-player mathematic game of strategy in which players take turns…

今天初步学习了一下博弈论……感觉真的是好精妙啊……希望这篇博客可以帮助到和我一样刚学习博弈论的同学们. 博弈论,又被称为对策论,被用于考虑游戏中个体的预测行为和实际行为,并研究他们的应用策略.(其实这句话没有什么卯月) 在OI中,博弈论的主要应用是一些经典的模型,以及sg函数,sj定理的应用. 首先我们来看博弈论最为经典的模型之一:Nim游戏 有n堆石子,每次可以从其中任意一堆石子中取出若干块石子(可以取完),不能不取. 最后无石子可取者为输家.假设两人都按最优情况走,问是否先手必胜. 为了计算…