** 迷宫走法**
迷宫问题
对于走迷宫,人们提出过很多计算机上的解法。深度优先搜索、广度优先搜索是使用最广的方法。生活中,人们更愿意使用“紧贴墙壁,靠右行走”的简单规则。
下面的代码则采用了另一种不同的解法。它把走迷宫的过程比做“染色过程”。假设入口点被染为红色,它的颜色会“传染”给与它相邻的可走的单元。这个过程不断进行下去,如果最终出口点被染色,则迷宫有解。
仔细分析代码中的逻辑,填充缺少的部分。
把填空的答案(仅填空处的答案,不包括题面)存入考生文件夹下对应题号的“解答.txt”中即可。
public class Maze
{
class Cell
{
private int row;
private int col;
private Cell from;
public Cell(int row, int col, Cell from)
{
this.row = row;
this.col = col;
this.from = from;
}
}
char[][] maze =
{{'#','#','#','#','B','#','#','#','#','#','#','#'},
{'#','#','#','#','.','.','.','.','#','#','#','#'},
{'#','#','#','#','.','#','#','#','#','.','.','#'},
{'#','.','.','.','.','#','#','#','#','#','.','#'},
{'#','.','#','#','#','#','#','.','#','#','.','#'},
{'#','.','#','#','#','#','#','.','#','#','.','#'},
{'#','.','#','#','.','.','.','.','.','.','.','#'},
{'#','.','#','#','.','#','#','#','.','#','.','#'},
{'#','.','.','.','.','#','#','#','.','#','.','#'},
{'#','#','.','#','.','#','#','#','.','#','.','A'},
{'#','#','.','#','#','#','.','.','.','#','#','#'},
{'#','#','#','#','#','#','#','#','#','#','#','#'}};
public void show()
{
for(int i=0; i<maze.length; i++)
{
for(int j=0; j<maze[i].length; j++)
System.out.print(" " + maze[i][j]);
System.out.println();
}
}
//把与from集合中相邻的可染色节点染色,被染色节点记入 dest
//一旦发现出口将被染色,则返回当前的“传播源”节点
public Cell colorCell(Set<Cell> from, Set<Cell> dest)
{
Iterator<Cell> it = from.iterator();
while(it.hasNext())
{
Cell a = it.next();
Cell[] c = new Cell[4];
c[0] = new Cell(a.row-1, a.col, a);
c[1] = new Cell(a.row, a.col-1, a);
c[2] = new Cell(a.row+1, a.col, a);
c[3] = ___________________________;
for(int i=0; i<4; i++)
{
if(c[i].row < 0 || c[i].row >= maze.length) continue;
if(c[i].col < 0 || c[i].col >= maze[0].length) continue;
char x = maze[c[i].row][c[i].col];
if(x=='B') return a;
if(x=='.')
{
maze[c[i].row][c[i].col] = '?';
____________________;
}
}
}
return null;
}
public void resolve()
{
Set<Cell> set = new HashSet<Cell>();
set.add(new Cell(9,11,null));
for(;;)
{
Set<Cell> set1 = new HashSet<Cell>();
Cell a = colorCell(set, set1);
if(a!=null)
{
System.out.println("找到解!");
while(a!=null)
{
maze[a.row][a.col] = '+';
______________;
}
break;
}
if(set1.isEmpty())
{
System.out.println("无解!");
break;
}
set = set1;
}
}
public static void main(String[] args)
{
Maze m = new Maze();
m.show();
m.resolve();
m.show();
}
}
new Cell(a.row, a.col+1, a)
dest.add(c[i])
a = a.from