poj3083

Children of the Candy Corn

Time Limit: 1000MS Memory Limit: 65536K
Total Submissions: 6055 Accepted: 2640

Description

The cornfield maze is a popular Halloween treat. Visitors are shown the entrance and must wander through the maze facing zombies, chainsaw-wielding psychopaths, hippies, and other terrors on their quest to find the exit.

One popular maze-walking strategy guarantees that the visitor will eventually find the exit. Simply choose either the right or left wall, and follow it. Of course, there's no guarantee which strategy (left or right) will be better, and the path taken is seldom the most efficient. (It also doesn't work on mazes with exits that are not on the edge; those types of mazes are not represented in this problem.)

As the proprieter of a cornfield that is about to be converted into a maze, you'd like to have a computer program that can determine the left and right-hand paths along with the shortest path so that you can figure out which layout has the best chance of confounding visitors.

Input

Input to this problem will begin with a line containing a single integer n indicating the number of mazes. Each maze will consist of one line with a width, w, and height, h (3 <= w, h <= 40), followed by h lines of w characters each that represent the maze layout. Walls are represented by hash marks ('#'), empty space by periods ('.'), the start by an 'S' and the exit by an 'E'.

Exactly one 'S' and one 'E' will be present in the maze, and they will always be located along one of the maze edges and never in a corner. The maze will be fully enclosed by walls ('#'), with the only openings being the 'S' and 'E'. The 'S' and 'E' will also be separated by at least one wall ('#').

You may assume that the maze exit is always reachable from the start point.

Output

For each maze in the input, output on a single line the number of (not necessarily unique) squares that a person would visit (including the 'S' and 'E') for (in order) the left, right, and shortest paths, separated by a single space each. Movement from one square to another is only allowed in the horizontal or vertical direction; movement along the diagonals is not allowed.

Sample Input

2
8 8
########
#......#
#.####.#
#.####.#
#.####.#
#.####.#
#...#..#
#S#E####
9 5
#########
#.#.#.#.#
S.......E
#.#.#.#.#
#########

Sample Output

37 5 5
17 17 9
挺简单的一个搜索题目,广搜和深搜都要用
题目意思,有一个迷宫,现在想知道总是沿着迷宫左侧墙壁走的能走多少步,沿着迷宫右侧墙壁走的能走多少步
最少走多少步能出去
我觉着这个题目关键在于如何处理怎样沿着左右墙壁走
我一开始以为设好总是右拐左拐的方向就行了,结果样例就不过,最后输出一看,有个地方一直来回走了,死循环了
这里怎么处理呢?
我也不会,网上看到神一般的代码
 for (i=xx+1;i>=xx-2;i--)
{
  j=(8+i)&3;//????
}
真心不明白啥意思,等弄懂了再回来写思路
除了这种方法,还没想到别的方法,额,纠结了
  1#include<stdio.h>
  2#include<math.h>
  3#include<string.h>
  4#define MAX 45
  5#define MX  16000
  6struct node
  7{
  8    int x,y,d;
  9}
;
 10int w,h,sx,sy,ans1,ans2,ans3;
 11int dx[4][2]={{-1,0},{0,-1},{1,0},{0,1}};
 12int q1;
 13char map[MAX][MAX];
 14short mark[MAX][MAX];
 15int inin(int xx,int yy)
 16{
 17    return xx>=0&&xx<h&&yy>=0&&yy<w;
 18}

 19void init()
 20{
 21    int i,j;
 22    int flag;
 23    flag=0;
 24    scanf("%d%d",&w,&h);
 25    for (i=0;i<h;i++)
 26    {
 27        scanf("%s",&map[i]);
 28        for (j=0;j<w;j++)
 29        if (map[i][j]=='S'&&!flag)
 30        {
 31            sx=i;sy=j;
 32            flag=1;
 33        }

 34    }

 35    for (i=0;i<4;i++)
 36    if (inin(sx+dx[i][0],sy+dx[i][1])&&map[sx+dx[i][0]][sy+dx[i][1]]=='.')
 37    {
 38        q1=i;break;
 39    }

 40}

 41int dfs1(int x,int y,int xx)
 42{
 43    int j,i,nx,ny;
 44    if (map[x][y]=='E')
 45    {
 46        return 1;
 47    }

 48    for (i=xx+1;i>=xx-2;i--)
 49    {
 50        j=(8+i)&3;//????
 51        nx=x+dx[j][0];ny=y+dx[j][1];
 52        if ((inin(nx,ny))&&(map[nx][ny]!='#'))
 53        {
 54            return 1+dfs1(nx,ny,j);
 55        }

 56    }

 57}

 58int dfs2(int x,int y,int xx)
 59{
 60    int j,i,nx,ny;
 61    if (map[x][y]=='E')
 62        return 1;
 63    for (i=xx-1;i<=xx+2;i++)
 64    {
 65        j=(8+i)&3;//????
 66        nx=x+dx[j][0];ny=y+dx[j][1];
 67        if ((inin(nx,ny))&&(map[nx][ny]!='#'))
 68        {
 69            return 1+dfs2(nx,ny,j);
 70        }

 71    }

 72}

 73int bfs()
 74{
 75    int i,j,head,tail,nx,ny;
 76    struct node q[MX],now;
 77    memset(mark,0,sizeof(mark));
 78    head=0;tail=1;
 79    mark[sx][sy]=1;
 80    q[tail].x=sx;q[tail].y=sy;q[tail].d=1;
 81    while (head<tail)
 82    {
 83        head++;
 84        now=q[head];
 85        for (i=0;i<4;i++)
 86        {
 87            nx=now.x+dx[i][0];
 88            ny=now.y+dx[i][1];
 89            if (inin(nx,ny)&&map[nx][ny]!='#'&&!mark[nx][ny])
 90            {
 91                if (map[nx][ny]=='E')
 92                {
 93                    return now.d+1;
 94                }

 95                tail++;
 96                q[tail].x=nx;q[tail].y=ny;q[tail].d=now.d+1;
 97                mark[nx][ny]=1;
 98            }

 99        }

100    }

101}

102void work()
103{
104    int i,j;
105    ans3=bfs();
106    ans1=dfs1(sx,sy,q1);
107    ans2=dfs2(sx,sy,q1);
108}

109int main()
110{
111    int t,ii;
112    scanf("%d",&t);
113    for (ii=1;ii<=t;ii++)
114    {
115        memset(map,0,sizeof(map));
116        init(); 
117        work();
118        printf("%d %d %d\n",ans1,ans2,ans3);
119    }

120    return 0;    
121}

122

posted on 2012-03-08 20:19 jh818012 阅读(789) 评论(3)  编辑 收藏 引用

评论

# re: poj3083 2012-03-31 20:53 王私江

额,呵呵,看看我的题解
http://www.cppblog.com/ArcTan/articles/169695.html
  回复  更多评论   

# re: poj3083 2012-03-31 20:57 王私江

嚓,位运算我还是不懂………………
那个(8+i)&3应该就跟我那个循环去找一样的哈。  回复  更多评论   

# re: poj3083 2012-08-04 21:45 游客

@王私江
(8+i)&3 相当于是 取余3的意思 因为 3 的 二进制是 000011 和(8+i)   回复  更多评论   


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