Life Winner Bo

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 1019    Accepted Submission(s): 373

Problem Description
Bo is a "Life Winner".He likes playing chessboard games with his girlfriend G.

The size of the chessboard is N×M.The top left corner is numbered(1,1) and the lower right corner is numberd (N,M).

For each game,Bo and G take turns moving a chesspiece(Bo first).At first,the chesspiece is located at (1,1).And the winner is the person who first moves the chesspiece to (N,M).At one point,if the chess can't be moved and it isn't located at (N,M),they end in a draw.

In general,the chesspiece can only be moved right or down.Formally,suppose it is located at (x,y),it can be moved to the next point (x′,y′) only if x′≥x and y′≥y.Also it can't be moved to the outside of chessboard.

Besides,There are four kinds of chess(They have movement rules respectively).

1.king.

2.rook(castle).

3.knight.

4.queen.

(The movement rule is as same as the chess.)

For each type of chess,you should find out that who will win the game if they both play in an optimal strategy.

Print the winner's name("B" or "G") or "D" if nobody wins the game.

 
Input
In the first line,there is a number T as a case number.

In the next T lines,there are three numbers type,N and M.

"type" means the kind of the chess.

T≤1000,2≤N,M≤1000,1≤type≤4

 
Output
For each question,print the answer.
 
Sample Input
4
1 5 5
2 5 5
3 5 5
4 5 5
 
Sample Output
G
G
D
B
/* ***********************************************
Author :guanjun
Created Time :2016/7/27 13:04:59
File Name :hdu5754.cpp
************************************************ */
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <stdio.h>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <iomanip>
#include <list>
#include <deque>
#include <stack>
#define ull unsigned long long
#define ll long long
#define mod 90001
#define INF 0x3f3f3f3f
#define maxn 100010
#define cle(a) memset(a,0,sizeof(a))
const ull inf = 1LL << ;
const double eps=1e-;
const double Gsr=(+sqrt(.))/.;
using namespace std;
priority_queue<int,vector<int>,greater<int> >pq;
struct Node{
int x,y;
};
struct cmp{
bool operator()(Node a,Node b){
if(a.x==b.x) return a.y> b.y;
return a.x>b.x;
}
}; bool cmp(int a,int b){
return a>b;
}
int a,n,m; int main()
{
#ifndef ONLINE_JUDGE
freopen("in.txt","r",stdin);
#endif
//freopen("out.txt","w",stdout);
int t;
cin>>t;
while(t--){
cin>>a>>n>>m;
if(a==){
if((n&)&&(m&))puts("G");
else puts("B");
}
if(a==){
if(n==m){//后手赢
puts("G");
}
else{
puts("B");
}
}
if(a==){
if(n<m)swap(n,m);
if((n==m)&&(n%==))puts("G");
else if((n%==)&&(m==n-))puts("B");
else puts("D");
}
if(a==){//威佐夫博弈
n--,m--;
if(n>m)swap(n,m);
if(n==(int)(Gsr*(m-n))){
puts("G");
}
else puts("B");
}
}
return ;
}

找规律。皇后的时候转换成博弈

“有两堆石子,每次可以在一堆里取任意(非空)颗(相当于是车的走法),或者在两堆里取相同(非空)颗(相当于是象的走法),取到最后一颗石子的人获胜,问先后手谁有必胜策略。”

HDU 5754Life Winner Bo的更多相关文章

  1. 5754Life Winner Bo

    给定一个n*m的矩阵,有四种棋子(国际象棋的王,王后,骑士,车).起点在(1,1)先走到(n,m)获胜. 分析:车是nim博弈.王后是威佐夫博弈.王和骑士写两个1000*1000的预处理即可. hdu ...

  2. HDU 5754 Life Winner Bo (博弈)

    Life Winner Bo 题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5754 Description Bo is a "Life W ...

  3. HDU 5754 Life Winner Bo 组合博弈

    Life Winner Bo Problem Description   Bo is a "Life Winner".He likes playing chessboard gam ...

  4. hdu_5754_Life Winner Bo(博弈)

    题目链接:hdu_5754_Life Winner Bo 题意: 一个棋盘,有国王,车,马,皇后四种棋子,bo先手,都最优策略,问你赢的人,如果双方都不能赢就输出D 题解: 全部都可以直接推公式, 这 ...

  5. hdu-5754 Life Winner Bo(博弈)

    题目链接: Life Winner Bo Time Limit: 2000/1000 MS (Java/Others)     Memory Limit: 131072/131072 K (Java/ ...

  6. Life Winner Bo HDU - 5754

    Bo is a "Life Winner".He likes playing chessboard games with his girlfriend G. The size of ...

  7. HDU 5754 Life Winner Bo (找规律and博弈)

    题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5754 给你四种棋子,棋子一开始在(1,1)点,两个人B和G轮流按每种棋子的规则挪动棋子,棋子只能往右下 ...

  8. 【博弈论】HDU 5754 Life Winner Bo

    题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5754 题目大意: 4种棋子,象棋中的 1王,2车,3马,4后,选其一,B和G轮流走,不能往左上走,一 ...

  9. HDU 5754 Life Winner Bo(各类博弈大杂合)

    http://acm.hdu.edu.cn/showproblem.php?pid=5754 题意: 给一个国际象棋的棋盘,起点为(1,1),终点为(n,m),现在每个棋子只能往右下方走,并且有4种不 ...

随机推荐

  1. 数据库insert update select语句

    http://database.51cto.com/art/200903/113939_1.htm                   (更新语句) http://blog.csdn.net/chan ...

  2. [Algorithm] 1. A+B Problem

    Description Write a function that add two numbers A and B. Clarification Are a and b both 32-bit int ...

  3. LVS-NAT负载均衡PHP应用(Wordpress、Discuz)

    1 实验拓扑 2 需求 RS-01和RS-02对外提供WEB服务. RS-01搭建LAMP,PHP通过http模块方式提供. RS-02搭建LAMP,PHP通过fpm方式提供. RS-01和RS-02 ...

  4. Python和Java的语法对比,语法简洁上python的确完美胜出

    Python是一种广泛使用的解释型.高级编程.通用型编程语言,由吉多·范罗苏姆创造,第一版发布于1991年.可以视之为一种改良(加入一些其他编程语言的优点,如面向对象)的LISP.Python的设计哲 ...

  5. STM32串口程序的一般配置方法

    #include "stm32f10x.h" /************************************************ 该程序讲解串口程序的一般配置方法: ...

  6. Windows Server 2008 R2 Enterprise 安装.NET Framework 4.0

    由于服务器上没有.NET 4.0 部署不了 4.0及以上版本的网站,所以给他安排一下:​ 复制下好的.NET Framework 4.0到服务器开始安装: ​ ​ ​ ​ 安装完,重新打开IIS,已经 ...

  7. get方法和set方法

    定义一个类,该类有一个私有成员变量,通过构造方法将其进行赋初值,并提供该成员的getXXX()和setXXX()方法 提示:假设有private String name;则有 public void  ...

  8. 营救(洛谷 P1396)

    题目描述 “咚咚咚……”“查水表!”原来是查水表来了,现在哪里找这么热心上门的查表员啊!小明感动的热泪盈眶,开起了门…… 妈妈下班回家,街坊邻居说小明被一群陌生人强行押上了警车!妈妈丰富的经验告诉她小 ...

  9. 组队训练1 回放(转载至cxhscst2's blog)

      第一场组队训练……意料之中的爆炸. 开场先看题,H是斐波那契水题,qw把H切了. 同时czy看I题(排列),cst继续读其他题. czy尝试交I,PE. cst发现K是水题. cst上来敲K,WA ...

  10. [bzoj3894]文理分科_网络流_最小割

    文理分科 bzoj-3894 题目大意:题目链接. 注释:略. 想法: 这种题也是一种套路. 我们新建一个点表示收益点. 然后把所有的收益都加一起,求最小割表示代价即可. Code: #include ...