Ignatius and the Princess I

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 19789    Accepted Submission(s): 6446

Special Judge

Problem Description

The Princess has been abducted by the BEelzebub feng5166, our hero Ignatius has to rescue our pretty Princess. Now he gets into feng5166's castle. The castle is a large labyrinth. To make the problem simply, we assume the labyrinth is a N*M two-dimensional array which left-top corner is (0,0) and right-bottom corner is (N-1,M-1). Ignatius enters at (0,0), and the door to feng5166's room is at (N-1,M-1), that is our target. There are some monsters in the castle, if Ignatius meet them, he has to kill them. Here is some rules:

1.Ignatius can only move in four directions(up, down, left, right), one step per second. A step is defined as follow: if current position is (x,y), after a step, Ignatius can only stand on (x-1,y), (x+1,y), (x,y-1) or (x,y+1).

2.The array is marked with some characters and numbers. We define them like this:

. : The place where Ignatius can walk on.

X : The place is a trap, Ignatius should not walk on it.

n : Here is a monster with n HP(1<=n<=9), if Ignatius walk on it, it takes him n seconds to kill the monster.

Your task is to give out the path which costs minimum seconds for Ignatius to reach target position. You may assume that the start position and the target position will never be a trap, and there will never be a monster at the start position.

 

 

Input

The input contains several test cases. Each test case starts with a line contains two numbers N and M(2<=N<=100,2<=M<=100) which indicate the size of the labyrinth. Then a N*M two-dimensional array follows, which describe the whole labyrinth. The input is terminated by the end of file. More details in the Sample Input.

 

 

Output

For each test case, you should output "God please help our poor hero." if Ignatius can't reach the target position, or you should output "It takes n seconds to reach the target position, let me show you the way."(n is the minimum seconds), and tell our hero the whole path. Output a line contains "FINISH" after each test case. If there are more than one path, any one is OK in this problem. More details in the Sample Output.

 

 

Sample Input

5 6 .XX.1. ..X.2. 2...X. ...XX. XXXXX. 5 6 .XX.1. ..X.2. 2...X. ...XX. XXXXX1 5 6 .XX... ..XX1. 2...X. ...XX. XXXXX.

 

 

Sample Output

It takes 13 seconds to reach the target position, let me show you the way. 1s:(0,0)->(1,0) 2s:(1,0)->(1,1) 3s:(1,1)->(2,1) 4s:(2,1)->(2,2) 5s:(2,2)->(2,3) 6s:(2,3)->(1,3) 7s:(1,3)->(1,4) 8s:FIGHT AT (1,4) 9s:FIGHT AT (1,4) 10s:(1,4)->(1,5) 11s:(1,5)->(2,5) 12s:(2,5)->(3,5) 13s:(3,5)->(4,5) FINISH It takes 14 seconds to reach the target position, let me show you the way. 1s:(0,0)->(1,0) 2s:(1,0)->(1,1) 3s:(1,1)->(2,1) 4s:(2,1)->(2,2) 5s:(2,2)->(2,3) 6s:(2,3)->(1,3) 7s:(1,3)->(1,4) 8s:FIGHT AT (1,4) 9s:FIGHT AT (1,4) 10s:(1,4)->(1,5) 11s:(1,5)->(2,5) 12s:(2,5)->(3,5) 13s:(3,5)->(4,5) 14s:FIGHT AT (4,5) FINISH God please help our poor hero. FINISH

 

 

Author

Ignatius.L

 

 

题解：记录路劲的走迷宫问题

1 #include 
       
          2 #include 
        
           3 #include 
         
            4 using namespace std;  5 const int MAX =100+10;  6 #include 
          
             7 bool used[MAX][MAX];//标记该坐标是否呗更新过  8 int dir[4][2]={
     {
     0,1},{
     1,0},{
     0,-1},{-1,0}};//方向坐标  9 #include 
           
             10 struct node// 11 { 12     int i; 13     int j;//更新的坐标 14     char ch;//当前坐标的字符 15     int sum;//走到当前坐标所需要花费的最小时间 16     friend bool operator<(node a,node b)//优先队列 17     { 18         return a.sum>b.sum; 19     } 20 }; 21 struct nodd// 22 { 23     int i; 24     int j;//记录起父亲节点的值 25     int sum;//走到当前点的值 26     int x; 27     int y;//当前点 28 }; 29 int n,m; 30 node a[MAX][MAX]; 31 void bfs() 32 { 33     priority_queue
            
             q; 34 stack
             
              s; 35 node temp; 36 memset(used,false,sizeof(used)); 37 temp.i=0; 38 temp.j=0; 39 temp.sum=0; 40 used[temp.i][temp.j]=true; 41 q.push(temp); 42 while(!q.empty()) 43 { 44 node flag=q.top(); 45 q.pop(); 46 for(int i=0;i<4;i++)//往四个方向搜 47 { 48 node type=flag; 49 type.i+=dir[i][0]; 50 type.j+=dir[i][1]; 51 if(type.i>=0&&type.i
              
               =0&&type.j
               
                '0'&&a[type.i][type.j].ch<='9')//遇到小怪，打小怪花费的时间 56 { 57 type.sum+=a[type.i][type.j].ch-'0'; 58 } 59 used[type.i][type.j]=true; 60 ++type.sum; 61 if(type.i==n-1&&type.j==m-1)//判断是否找到 62 { 63 int k=type.sum; 64 nodd typ; 65 typ.i=type.i; 66 typ.j=type.j; 67 for(int j=k;j>=1;j--) 68 { 69 typ.x=typ.i; 70 typ.y=typ.j; 71 if(a[typ.i][typ.j].ch>'0'&&a[typ.i][typ.j].ch<='9')//该点是否为小怪出现的点 72 { 73 int x; 74 nodd ty; 75 for(x=j;x>j-a[typ.i][typ.j].ch+'0';x--) 76 { 77 ty.i=-1; 78 ty.x=typ.i; 79 ty.y=typ.j; 80 ty.sum=x; 81 s.push(ty); 82 } 83 j=x; 84 } 85 typ.i=a[typ.x][typ.y].i; 86 typ.j=a[typ.x][typ.y].j; 87 typ.sum=j; 88 s.push(typ); 89 90 } 91 printf("It takes %d seconds to reach the target position, let me show you the way.\n",type.sum); 92 while(!s.empty()) 93 { 94 if(s.top().i!=-1) 95 { 96 printf("%ds:(%d,%d)->(%d,%d)\n",s.top().sum,s.top().i,s.top().j,s.top().x,s.top().y); 97 } 98 else printf("%ds:FIGHT AT (%d,%d)\n",s.top().sum,s.top().x,s.top().y); 99 s.pop();100 }101 printf("FINISH\n");102 return;103 }104 q.push(type);105 }106 }107 }108 printf("God please help our poor hero.\nFINISH\n");109 return;110 }111 int main()112 {113 while(scanf("%d%d",&n,&m)!=EOF)114 {115 getchar();116 memset(used,false,sizeof(used));117 for(int i=0;i