hdu3368之DFS

Reversi

Time Limit: 5000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1047    Accepted Submission(s): 430

Problem Description

Reversi, also called Othello, is a two-sided game.

Each of the two sides corresponds to one player; they are referred to here as light and dark after the sides of Othello pieces, but "heads" and "tails" would identify them equally as well, so long as each marker has sufficiently distinctive sides.

Originally, Reversi did not have a defined starting position. Later it adopted Othello's rules, which state that the game begins with four markers placed in a square in the middle of the grid, two facing light-up, two pieces with the dark side up. The dark player makes the first move.

Dark must place a piece with the dark side up on the board, in such a position that there exists at least one straight (horizontal, vertical, or diagonal) occupied line between the new piece and another dark piece, with one or more contiguous light pieces between them. In the below situation, dark has the following options indicated by transparent pieces:

After placing the piece, dark turns over (flips, captures) all light pieces lying on a straight line between the new piece and any anchoring dark pieces. All reversed pieces now show the dark side, and dark can use them in later moves—unless light has reversed them back in the meantime. In other words, a valid move is one where at least one piece is reversed.

If dark decided to put a piece in the topmost location (all choices are strategically equivalent at this time), one piece gets turned over, so that the board appears thus:

Now light plays. This player operates under the same rules, with the roles reversed: light lays down a light piece, causing a dark piece to flip. Possibilities at this time appear thus (indicated by transparent pieces):

Light takes the bottom left option and reverses one piece:

Players take alternate turns. If one player cannot make a valid move, play passes back to the other player. When neither player can move, the game ends. This occurs when the grid has filled up, or when one player has no more pieces on the board, or when neither player can legally place a piece in any of the remaining squares. The player with the most pieces on the board at the end of the game wins.

Now after several rounds, it’s dark’s turn. Can you figure out the largest number of light pieces he can turn over?

 

Input

The first line contains one integer T representing the number of test cases.

For each test case, there’re 8 lines. Each line contains 8 characters (D represents dark, L represents light, * represents nothing here).

Every two adjacent cases are separated by a blank line.

 

Output

For each test case, in one line print the case number and the largest number of light pieces the dark player can turn over. If he can’t put one piece in any position, then print 0.

Please follow the format of the sample output.

 

Sample Input

3
********
********
********
***LD***
***DL***
********
********
********

********
********
**DLL***
**DLLL**
**DLD***
********
********
********

********
********
*D******
*DLLD***
***LL***
**D*D***
********
********

 

Sample Output

Case 1: 1
Case 2: 3
Case 3: 0

题目大意：首先，给你一副走到一半的棋盘(8*8)，现在轮到黑棋走。规则如下：若新增的黑棋和另外一颗已存在的黑棋之间全是白棋(即没有空格或另外的黑棋)，例如：黑(new)白白黑(old)，则里面的白棋全变黑棋，另外，[边界]白白黑(new)，这种情况不算。问：这颗黑棋放下后，最多能够翻转多少颗白棋？(输入时字母D(Dark)代表黑棋，字母L(Light)代表白棋，*号代表空格。)

简单分析：遍历所有棋牌上的位置，若该位置为空，则用一个DFS分别从该位置的8个方向(即上[0,1]，下[0,-1]，左[-1,0]，右[1,0]，左上[-1,-1]，右上[1,-1]，左下[-1,1]，右下[1,1])依次试探。同时把每一个位置最多能够翻转的白棋个数存放在变量sum中。

注意这种情况:

*****D**
*****L**
*****L**
*****L**
DLLLL***
********
********
********

#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<string>
#include<queue>
#include<algorithm>
#include<map>
#include<iomanip>
#define INF 99999999
using namespace std;

const int MAX=10;
char Map[MAX][MAX];
int dir[8][2]={0,1,0,-1,1,0,-1,0,1,1,-1,-1,1,-1,-1,1};
int sum,ans;

void DFS(int x,int y,int i,int num){
	if(x<0 || y<0 || x>=8 || y>=8 || Map[x][y] == '*')return;
	if(Map[x][y] == 'L')++num;
	if(Map[x][y] == 'D'){ans+=num;return;}//表示i这个方向能翻转num个白棋
	DFS(x+dir[i][0],y+dir[i][1],i,num);
}

int main(){
	int t,num=0;
	cin>>t;
	while(t--){
		sum=0;
		for(int i=0;i<8;++i)cin>>Map[i];
		for(int i=0;i<8;++i){
			for(int j=0;j<8;++j){
				if(Map[i][j] == '*'){
					ans=0;
					for(int k=0;k<8;++k){//对每个点8个方向进行搜索
						DFS(i+dir[k][0],j+dir[k][1],k,0);
					}
					sum=sum>ans?sum:ans;
				}
			}
		}
		cout<<"Case "<<++num<<": "<<sum<<endl;
	}
	return 0;
}