题目大意:鼠标点击一块,求与之联通的所有区域的边长之和。
解法:广度优先搜索。从选中的这个点开始,往周围8个点依次搜索,访问过的点做上标记。如果该点上下左右的一个或多个方向没有相邻的点,边长+1。代码BSF函数中,有两个数组存放相邻8个点的坐标,这一段代码感觉很简洁,是从其他地方学习来的。
参考代码:
#include<iostream>
#include<cstring>
#include<cstdio>
#include<queue>
using namespace std;
int r,c,x,y,i,j,ans;
int visited[22][22],grid[22][22];
char s;
int BFS(int i,int j);
struct Node{
int x,y;
}p,q;
int main(){
while(cin>>r>>c>>x>>y){
if(r==0&&c==0&&x==0&&y==0)break;
memset(grid,0,sizeof(grid));
memset(visited,0,sizeof(visited));
ans=0;
for(i=1;i<=r;i++){
for(j=1;j<=c;j++){
cin>>s;
if(s=='X')grid[i][j]=1;
if(s=='.')grid[i][j]=0;
}
getchar();
} //first fill the matrix with 0 or 1
ans=BFS(x,y); // do broad first search in this matrix
cout<<ans<<endl;
}
return 0;
}
int BFS(int i,int j){
int k,num,x0,y0;
int sx[9]={0,-1,1,0,0,-1,-1,1,1};
int sy[9]={0,0,0,-1,1,-1,1,-1,1};
queue<Node> point;
p.x=i;
p.y=j;
point.push(p); //push the first node in queue
visited[x][y]=1;
while(!point.empty()){ //if the queue is not empty, pop the front, visit it and push its neighbours
q=point.front();
point.pop();
num=0;
for(k=1;k<=8;k++){
x0=q.x+sx[k];
y0=q.y+sy[k];
if(grid[x0][y0]){
if(k<=4)num++; //another 'X' is next to this side
if(!visited[x0][y0]){
visited[x0][y0]=1;
p.x=x0;
p.y=y0;
point.push(p);
}
} //until the queue is empty
}
ans+=4-num;
}
return ans;
}