Rescue
http://acm.hdu.edu.cn/showproblem.php?pid=1242
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 18962 Accepted Submission(s): 6771
Problem Description
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
Author
CHEN, Xue
Source
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/**/第一次写 BFS
题目大意：
1.在含有障碍的迷宫中求从一点到一点的最短时间或步数，
2.这个题目中，天使的朋友不止一个，所以搜索的起点应该是从天使开始搜到朋友为止，
3.题目求的是最短时间，所以应该才用优先队列，小步数优先。
----------------------------------------------------------------------------------------------------------------------------------------
/**/BFS：
1.从图中的某一项V0开始，先访问V0;
2.访问所有与v0相邻接的顶点 v1、v2、、、、、、Vt;
3.依次访问与 v1、v2、、、、、、Vt 相邻接的所有未曾访问过的顶点;
4.循此以往，直至所有的顶点都被访问过为止；
BFS具体操作：
定义一个队列； queue<node> Q;
起始点加入队列； Q.push(p);
while(队列不空) while(!Q.empty())
{ {
取出队头结点； p=Q.front； Q.pop；
若是所求的目标状态 if(满足条件)
跳出循环； return ;
否则 else
从它扩展出子结点，
全部添加到队尾中 Q.push();
} }
若循环中找到目标，输出结果；否则，输出无解；
----------------------------------------------------------------------------------------------------------------------------------------
#include<cstdio>
#include<cmath>
#include<cstring>
#include<cstdlib>
#include<queue>
#include<algorithm>
using namespace std;
const int M=205;
int n,m;
int start_x,end_x;
int start_y,end_y;
char map[M][M];
int cost[M][M];
int fx[4]={1,0,-1,0};
int fy[4]={0,1,0,-1};
typedef struct
{
int x,y;
int time;
}point;
void init()//
{
int i,j;
for(i=0;i<n;i++)
for(j=0;j<m;j++)
{
if(map[i][j]==‘r‘)// 接入端
{
start_x=i;
start_y=j;
}
if(map[i][j]==‘a‘)//输出端
{
end_x=i;
end_y=j;
}
cost[i][j]=-1;
}
}
int isvalid(int x,int y)
{
if(x>=0&&x<n&&y>=0&&y<m)
return 1;
else
return 0;
}
void BFS()
{
point p1,p2;
queue<point> Q;//定义队列
int i;
p1.x=start_x;//初始化
p1.y=start_y;
p1.time=0;
cost[p1.x][p1.y]=0;
while(!Q.empty())//初始化
Q.pop();
Q.push(p1);//起始点加入队列
while(!Q.empty())//当队列不为空
{
p1=Q.front();//取出队头结点信息
Q.pop();
for(i=0;i<4;i++)//满足条件
{
p2.x=p1.x+fx[i];
p2.y=p1.y+fy[i];
p2.time=p1.time+1;
if(map[p2.x][p2.y]==‘#‘||!isvalid(p2.x,p2.y))//满足条件
continue;
if(map[p2.x][p2.y]==‘x‘)
p2.time++;
if(cost[p2.x][p2.y]==-1||p2.time<cost[p2.x][p2.y])
{
Q.push(p2);//入队
cost[p2.x][p2.y]=p2.time;
}
}
}
}
int main()
{
while(~scanf("%d%d",&n,&m))
{
int i,j;
for(i=0;i<n;i++)
scanf("%s",map[i]);
init();
BFS();
if(cost[end_x][end_y]==-1)
printf("Poor ANGEL has to stay in the prison all his life.\n");
else
printf("%d\n",cost[end_x][end_y]);
}
return 0;
}