题目链接 给一个长度为n的环, 两个人轮流涂色, 每次涂m个连续的, 无法继续涂了就输. #include<bits/stdc++.h> using namespace std; #define pb(x) push_back(x) #define ll long long #define mk(x, y) make_pair(x, y) #define lson l, m, rt<<1 #define mem(a) memset(a, 0, sizeof(a)) #define…

Paint Chain Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 804    Accepted Submission(s): 292 Problem Description Aekdycoin and abcdxyzk are playing a game. They get a circle chain with some be…

题目链接 题意 有一个\(n\)个珠子的环,两人轮流给环上的珠子涂色.规定每次涂色必须涂连续的\(m\)颗珠子,无法继续操作的人输.问先手能否赢. 思路 参考 转化 第一个人取完之后就变成了一条链,现只需要考虑这条链上的操作即可. SG函数计算 考虑在一个链上涂连续的\(m\)颗珠子这个问题的子问题,记当前有\(x\)颗珠子 \(x\lt m\) 显然已经无法涂了,故\(sg(x)=0\). \(x\geq m\) 设左边有\(i\)颗珠子,则右边有\((m-i)\)颗珠子.则该子问题的\(sg…

https://vjudge.net/problem/HDU-3980 题意 一串长度为n的柱子,每个人只能给连续的珠子涂色,涂过的不能再涂,不能涂的人就输了,问最后谁获胜. 分析 第一个人先涂m个,就把环变成链了,先手就变为后手.现在考虑长度为N-M的链上的游戏,用子状态来推出当前状态,一个问题的结果是其子问题的结果的亦或,然后使用记忆化推出sg,就知道谁赢了. #include<iostream> #include<cmath> #include<cstring>…

Paint Chain Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 909    Accepted Submission(s): 325 Problem Description Aekdycoin and abcdxyzk are playing a game. They get a circle chain with some be…

http://acm.split.hdu.edu.cn/showproblem.php?pid=5724 题意: 现在有一个n*20的棋盘,上面有一些棋子,双方每次可以选择一个棋子把它移动到其右边第一个空位置处,谁不能移动了谁就输. 思路: 找规律好像找不着,那么就考虑SG函数了,因为一共只有20列,所以可以状态压缩处理,这样就可以方便的得到某个状态的后继状态. #include<iostream> #include<algorithm> #include<cstring&g…

题意:与原来基本的尼姆博弈不同的是,可以将一堆石子分成两堆石子也算一步操作,其它的都是一样的. 分析:由于石子的堆数和每一堆石子的数量都很大,所以肯定不能用搜索去求sg函数,现在我们只能通过找规律的办法求得sg的规律. 通过打表找规律可以得到如下规律:if(x%4==0) sg[x]=x-1; if(x%4==1||x%4==2) sg[x]=x; if(x%4==3) sg[x] = x+1. 打表代码: #include<iostream> #include<cstdio> #…

Calendar Game Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 2766    Accepted Submission(s): 1594 Problem Description Adam and Eve enter this year’s ACM International Collegiate Programming Con…

Chess Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2605    Accepted Submission(s): 1092 Problem Description Alice and Bob are playing a special chess game on an n × 20 chessboard. There are s…

S-Nim Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 8729    Accepted Submission(s): 3660 Problem Description Arthur and his sister Caroll have been playing a game called Nim for some time now.…