广度优先搜索和深度优先搜索是基本的暴力技术,常用于解决图,树的遍历问题。
算法思路为:在每个节点的可扩展处都扩散一遍,如无法继续扩展便停下,等到所有的分列都停止之后广度优先搜索便结束。
广度优先搜索的扩散一般都是用队列来进行实现。
代码实现(…为自定义操作):
void BFS(....)
{
queue<type> q;
..............
q.push(n);
while(!q.empty())
{
q.pop();
............
if(....)
{
.......
q.push(m);
}
}
}
(如果有误还请指正)
具体实践
Red and Black
Time Limit: 2000/1000 MS (Java/Others) Memory Limit:
65536/32768 K (Java/Others) Total Submission(s): 35748 Accepted
Submission(s): 21693Problem Description
There is a rectangular room, covered with square
tiles. Each tile is colored either red or black. A man is standing on
a black tile. From a tile, he can move to one of four adjacent tiles.
But he can’t move on red tiles, he can move only on black tiles.Write a program to count the number of black tiles which he can reach
by repeating the moves described above.Input
The input consists of multiple data sets. A data set starts with
a line containing two positive integers W and H; W and H are the
numbers of tiles in the x- and y- directions, respectively. W and H
are not more than 20.There are H more lines in the data set, each of which includes W
characters. Each character represents the color of a tile as follows.‘.’ - a black tile ‘#’ - a red tile ‘@’ - a man on a black
tile(appears exactly once in a data set)Output
For each data set, your program should output a line which
contains the number of tiles he can reach from the initial tile
(including itself).Sample Input 6 9 …#. …# … … … … …#@…# .#…#.
11 9 .#… .#.#######. .#.#…#. .#.#.###.#. .#.#…@#.#. .#.#####.#. .#…#. .#########. …
11 6 …#…#…#… …#…#…#… …#…#…### …#…#…#@. …#…#…#…#…#…#…
7 7 …#.#… …#.#… ###.### …@…###.### …#.#… …#.#… 0 0
Sample Output 45 59 6 13Source Asia 2004, Ehime (Japan), Japan Domestic
Recommend Eddy
#include<queue>
#include<iostream>
using namespace std;
int width, high;
int num;//记录总数
char room[21][21];
struct node
{
int x;
int y;
};
int dir[4][2] = { {-1,0},{0,-1},{1,0},{0,1} };//往四面扩展
void BFS(int dx, int dy)
{
queue<node> q;
node start, next;
num = 1;
start.x = dx;
start.y = dy;
q.push(start);
while (!q.empty())
{
start = q.front();
q.pop();
for (int i = 0; i < 4; i++)
{
next.x = start.x + dir[i][0];
next.y = start.y + dir[i][1];
if (next.x >= 0 && next.x < width && next.y >= 0 && next.y < high && room[next.x][next.y] == '.')
{
room[next.x][next.y] = '#';
q.push(next);
num++;
}
}
}
}
int main()
{
int x, y;
while (cin >> width >> high)
{
for (int i = 0; i < high; i++)
{
for (int j = 0; j < width; j++)
{
cin >> room[j][i];
if (room[j][i] == '@')//设置初始点
{
x = j;
y = i;
}
}
}
num = 0;
BFS(x, y);
cout << num << endl;
}
return 0;
}
(题目略水)