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Lake Counting
Time Limit:1000MS  Memory Limit:65536K
Total Submit:1360 Accepted:629

Description
Due to recent rains, water has pooled in various places in Farmer John's field, which is represented by a rectangle of N x M (1 <= N <= 100; 1 <= M <= 100) squares. Each square contains either water ('W') or dry land ('.'). Farmer John would like to figure out how many ponds have formed in his field. A pond is a connected set of squares with water in them, where a square is considered adjacent to all eight of its neighbors.

Given a diagram of Farmer John's field, determine how many ponds he has.

Input
* Line 1: Two space-separated integers: N and M

* Lines 2..N+1: M characters per line representing one row of Farmer John's field. Each character is either 'W' or '.'. The characters do not have spaces between them.

Output
* Line 1: The number of ponds in Farmer John's field.

Sample Input

10 12
W........WW.
.WWW.....WWW
....WW...WW.
.........WW.
.........W..
..W......W..
.W.W.....WW.
W.W.W.....W.
.W.W......W.
..W.......W.

Sample Output

3

Hint
OUTPUT DETAILS:

There are three ponds: one in the upper left, one in the lower left,and one along the right side.

Source
USACO 2004 November

#include  < iostream >
using   namespace  std;

const   int  MAX  =   102 ;
int  g[MAX][MAX];

void  travel( int  i,  int  j)
{
    
int  incr[ 8 ][ 2 =   { { 0 , - 1 } { 1 , - 1 } { 1 , 0 } { 1 , 1 } { 0 , 1 } { - 1 , 1 } { - 1 , 0 } { - 1 , - 1 } } ;
    
int  k;
    
int  tmpI, tmpJ;
    
for  (k = 0 ; k < 8 ; k ++ {
        tmpI 
=  i  +  incr[k][ 0 ];
        tmpJ 
=  j  +  incr[k][ 1 ];
        
if  (g[tmpI][tmpJ]  ==   1 {
            g[tmpI][tmpJ] 
=   - 1 ;
            travel(tmpI, tmpJ);
        }

    }

}


int  main()
{
    
int  n, m;
    
int  i, j;
    
int  ans  =   0 ;
    
char  t;
    cin 
>>  n  >>  m;
    
for  (i = 0 ; i <= m + 1 ; i ++ {
        g[
0 ][i]  =   - 1 ;
        g[n
+ 1 ][i]  =   - 1 ;
    }

    
for  (i = 0 ; i <= n + 1 ; i ++ {
        g[i][
0 =   - 1 ;
        g[i][m
+ 1 =   - 1 ;
    }

    
for  (i = 1 ; i <= n; i ++ {
        
for  (j = 1 ; j <= m; j ++ {
            cin 
>>  t;
            
if  (t  ==   ' W ' {
                g[i][j] 
=   1 ;
            }
  else   {
                g[i][j] 
=   0 ;
            }

        }

    }

    
for  (i = 1 ; i <= n; i ++ {
        
for  (j = 1 ; j <= m; j ++ {
            
if  (g[i][j]  ==   1 {
                ans
++ ;
                g[i][j] 
=   - 1 ;
                travel(i, j);
            }

        }

    }

    cout 
<<  ans  <<  endl;
    
return   0 ;
}
感受递归的神奇!
posted on 2006-05-01 18:48 阅读(701) 评论(0)  编辑 收藏 引用 所属分类: ACM题目

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