HDOJ 2147 kiki's game 博弈

本文介绍了一个名为Kiki's Game的博弈论题目,通过分析游戏规则及使用二维数组标记PN的方法找到了获胜规律。游戏在n*m的棋盘上进行,初始硬币放置于右上角,玩家轮流移动硬币至左方、下方或左下方的空位,无法移动者输。文章给出了判断Kiki是否能赢得比赛的简洁代码。

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kiki's game

Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 40000/1000 K (Java/Others)
Total Submission(s): 5884    Accepted Submission(s): 3493


Problem Description
Recently kiki has nothing to do. While she is bored, an idea appears in his mind, she just playes the checkerboard game.The size of the chesserboard is n*m.First of all, a coin is placed in the top right corner(1,m). Each time one people can move the coin into the left, the underneath or the left-underneath blank space.The person who can't make a move will lose the game. kiki plays it with ZZ.The game always starts with kiki. If both play perfectly, who will win the game?
 

Input
Input contains multiple test cases. Each line contains two integer n, m (0<n,m<=2000). The input is terminated when n=0 and m=0.

 

Output
If kiki wins the game printf "Wonderful!", else "What a pity!".
 

Sample Input
  
5 3 5 4 6 6 0 0
 

Sample Output
  
What a pity! Wonderful! Wonderful!
 

Author
月野兔
 

Source
 

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博弈入门题 ^_^ 首先画个二维数组,标记上PN,然后发现P点是有规律的。

#include <iostream>
using namespace std;
int main()
{
	int n,m;
	while (cin>>n>>m && n && m){
		if (m%2 && n%2)
			cout<<"What a pity!"<<endl;
		else
			cout<<"Wonderful!"<<endl; 
	}
	return 0;
} 


kdwycz的网站:  http://kdwycz.com/

kdwyz的刷题空间:http://blog.youkuaiyun.com/kdwycz



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