【原創】ZOJ_1649 Rescue 解題報告

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Rescue

Time Limit: 2 Seconds      Memory Limit: 65536 KB

Angel was caught by the MOLIGPY! He was put in prison by Moligpy. The prison is described as a N * M (N, M <= 200) matrix. There are WALLs, ROADs, and GUARDs in the prison.

Angel‘s friends want to save Angel. Their task is: approach Angel. We assume that "approach Angel" is to get to the position where Angel stays. When there‘s a guard in the grid, we must kill him (or her?) to move into the grid. We assume that we moving up, down, right, left takes us 1 unit time, and killing a guard takes 1 unit time, too. And we are strong enough to kill all the guards.

You have to calculate the minimal time to approach Angel. (We can move only UP, DOWN, LEFT and RIGHT, to the neighbor grid within bound, of course.)


Input

First line contains two integers stand for N and M.

Then N lines follows, every line has M characters. "." stands for road, "a" stands for Angel, and "r" stands for each of Angel‘s friend.

Process to the end of the file.


Output

For each test case, your program should output a single integer, standing for the minimal time needed. If such a number does no exist, you should output a line containing "Poor ANGEL has to stay in the prison all his life."


Sample Input

7 8 
#.#####. 
#.a#..r. 
#..#x... 
..#..#.# 
#...##.. 
.#...... 
........


Sample Output

13

 

 

如題。簡單的廣搜水題,問題在於如何擴充x的結點。方法也很簡單。可以把x看做一個有兩個結點的連通分量,第一次進入x結點時,只能擴充出一個結點(還是x自己),第二次進入x結點時,才能擴充出周圍四個方向的結點。

 

當然,為了避免出現死迴圈,必須要把x結點的值更改。我是更改為‘.‘。

 

最後的最小值,則是廣搜樹的高度。

 

下面是AC代碼

 

#include <stdio.h>
#include <queue>
using namespace std;
/*
整整兩個小時的時間!!!!
居然是忘記清空隊列的低級BUG!!!!

1、標記是否訪問過某個結點,如果訪問過,則不再入隊;
2、如果當前的結點值是x,則需要將這個訪問過的結點再次入隊,並更改為.,本輪不再擴充。類似於將該點展開為一個線段,頭擴充的結點是尾,尾擴充周圍的結點。

*/
typedef struct point
{
       int x;
       int y;
}point;

queue<point> road;
char prison[201][201];
int visit[201][201];
int high[201][201];
int n,m;
int startX,startY;

void init()
{
      for(int i = 0;i < n;i++)
     {
            for(int j = 0;j < m;j++)
           {
                     if(prison[i][j] == ‘a‘)
                    {
                         startX = i;
                         startY = j;
                    }
           }
      }
      for(int i = 0;i < 201;i++)
               for(int j = 0;j < 201;j++)
               {
                         high[i][j] = 0;
                         visit[i][j] = 0;
               }
       while(!road.empty())
                 road.pop();    //f*cking bug occurs here.
}

void BFS()
{
       point tmp;
       point p1;
       tmp.x = startX;
       tmp.y = startY;
       int finalX,finalY;
       high[startX][startY] = 0;
       visit[startX][startY] = 1;
       road.push(tmp);
       int flag = 0;
       while(!road.empty())
      {
               tmp = road.front();
               road.pop();
               if(prison[tmp.x][tmp.y] == ‘x‘)
               {
                     road.push(tmp);
                     high[tmp.x][tmp.y] ++;
                     prison[tmp.x][tmp.y] = ‘.‘;
               }
              else if(prison[tmp.x][tmp.y] == ‘r‘)
              {
                     flag = 1;
                     finalX = tmp.x;
                     finalY = tmp.y;
                     break;
              }
              else
             {
                     for(int i = -1;i <= 1;i++)
                     {
                              if(0 == i)continue;
                              if(tmp.x + i >= 0 && tmp.x + i < n)
                             {
                                        if(visit[tmp.x+i][tmp.y] == 0 && prison[tmp.x+i][tmp.y] != ‘#‘)
                                        {
                                                visit[tmp.x+i][tmp.y] = 1;
                                                p1.x = tmp.x + i;
                                                p1.y = tmp.y;
                                                high[p1.x][p1.y] = high[tmp.x][tmp.y] + 1;
                                                road.push(p1);
                                        }
                              }
                             if(tmp.y + i >= 0 && tmp.y + i < m)
                            {
                                       if(visit[tmp.x][tmp.y+i] == 0 && prison[tmp.x][tmp.y+i] != ‘#‘)
                                      {
                                                visit[tmp.x][tmp.y+i] = 1;
                                                p1.x = tmp.x;
                                                p1.y = tmp.y + i;
                                                high[p1.x][p1.y] = high[tmp.x][tmp.y] + 1;
                                                road.push(p1);
                                       }
                            }
                      }
                }
        }
        if(flag)
       {
             printf("%d\n",high[finalX][finalY]);
       }
       else printf("Poor ANGEL has to stay in the prison all his life.\n");
}

int main(void)
{
        while(scanf("%d%d",&n,&m) != EOF)
       {
               for(int i = 0;i < n;i++)
               scanf("%s",prison[i]);
               init();
               BFS();
       }
       return 0;
}

【原創】ZOJ_1649 Rescue 解題報告

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