python 开发一个 华容道
时间: 2024-03-07 19:07:01 浏览: 189
python数字华容道(原创)
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好的,下面是一个简单的 Python 实现华容道的代码,仅供参考:
```python
import copy
# 棋盘类
class Board:
def __init__(self, board):
self.board = board
self.empty_pos = None
self.find_empty_pos()
# 找到空位置
def find_empty_pos(self):
for i in range(4):
for j in range(4):
if self.board[i][j] == 0:
self.empty_pos = (i, j)
return
# 移动
def move(self, direction):
if direction == 'up':
if self.empty_pos[0] == 0:
return False
self.board[self.empty_pos[0]][self.empty_pos[1]] = self.board[self.empty_pos[0] - 1][self.empty_pos[1]]
self.board[self.empty_pos[0] - 1][self.empty_pos[1]] = 0
self.empty_pos = (self.empty_pos[0] - 1, self.empty_pos[1])
return True
elif direction == 'down':
if self.empty_pos[0] == 3:
return False
self.board[self.empty_pos[0]][self.empty_pos[1]] = self.board[self.empty_pos[0] + 1][self.empty_pos[1]]
self.board[self.empty_pos[0] + 1][self.empty_pos[1]] = 0
self.empty_pos = (self.empty_pos[0] + 1, self.empty_pos[1])
return True
elif direction == 'left':
if self.empty_pos[1] == 0:
return False
self.board[self.empty_pos[0]][self.empty_pos[1]] = self.board[self.empty_pos[0]][self.empty_pos[1] - 1]
self.board[self.empty_pos[0]][self.empty_pos[1] - 1] = 0
self.empty_pos = (self.empty_pos[0], self.empty_pos[1] - 1)
return True
elif direction == 'right':
if self.empty_pos[1] == 3:
return False
self.board[self.empty_pos[0]][self.empty_pos[1]] = self.board[self.empty_pos[0]][self.empty_pos[1] + 1]
self.board[self.empty_pos[0]][self.empty_pos[1] + 1] = 0
self.empty_pos = (self.empty_pos[0], self.empty_pos[1] + 1)
return True
else:
return False
# 判断是否完成
def is_finished(self):
for i in range(4):
for j in range(4):
if i == 3 and j > 1:
break
if self.board[i][j] != i * 4 + j + 1:
return False
return True
# 求解类
class Solver:
def __init__(self, board):
self.board = board
self.steps = []
self.visited = set()
self.directions = ['up', 'down', 'left', 'right']
# 调用 DFS 求解
def solve(self):
self.DFS(self.board)
return self.steps
# DFS 求解
def DFS(self, board):
if board.is_finished():
return True
self.visited.add(str(board.board))
for direction in self.directions:
new_board = copy.deepcopy(board)
if new_board.move(direction):
if str(new_board.board) not in self.visited:
if self.DFS(new_board):
self.steps.append(direction)
return True
return False
# 测试
if __name__ == '__main__':
board = Board([[1, 2, 3, 4],
[5, 6, 7, 8],
[9, 10, 0, 12],
[13, 14, 11, 15]])
solver = Solver(board)
steps = solver.solve()
print(steps)
```
上面的代码中,我们定义了一个棋盘类 `Board` 和一个求解类 `Solver`。其中,棋盘类封装了棋盘的状态和移动方法,求解类则用 DFS 实现了求解华容道的算法。最后,在 `main` 函数中,我们构造了一个棋盘,并用求解类求解出了步骤。
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