数字华容道3x3自动复原python
时间: 2023-10-20 16:17:28 浏览: 291
数字华容道
这是一个自动复原数字华容道3x3的Python程序:
```
import copy
def get_blank_pos(puzzle):
for i in range(3):
for j in range(3):
if puzzle[i][j] == 0:
return (i, j)
def move(puzzle, direction):
i, j = get_blank_pos(puzzle)
new_puzzle = copy.deepcopy(puzzle)
if direction == 'up':
new_puzzle[i][j], new_puzzle[i-1][j] = new_puzzle[i-1][j], new_puzzle[i][j]
elif direction == 'down':
new_puzzle[i][j], new_puzzle[i+1][j] = new_puzzle[i+1][j], new_puzzle[i][j]
elif direction == 'left':
new_puzzle[i][j], new_puzzle[i][j-1] = new_puzzle[i][j-1], new_puzzle[i][j]
elif direction == 'right':
new_puzzle[i][j], new_puzzle[i][j+1] = new_puzzle[i][j+1], new_puzzle[i][j]
return new_puzzle
def is_solved(puzzle):
return puzzle == [[1, 2, 3], [4, 5, 6], [7, 8, 0]]
def solve(puzzle, moves=[]):
if is_solved(puzzle):
return moves
i, j = get_blank_pos(puzzle)
if i > 0:
up = move(puzzle, 'up')
if up not in moves:
up_moves = moves + ['up']
up_solution = solve(up, up_moves)
if up_solution:
return up_solution
if i < 2:
down = move(puzzle, 'down')
if down not in moves:
down_moves = moves + ['down']
down_solution = solve(down, down_moves)
if down_solution:
return down_solution
if j > 0:
left = move(puzzle, 'left')
if left not in moves:
left_moves = moves + ['left']
left_solution = solve(left, left_moves)
if left_solution:
return left_solution
if j < 2:
right = move(puzzle, 'right')
if right not in moves:
right_moves = moves + ['right']
right_solution = solve(right, right_moves)
if right_solution:
return right_solution
puzzle = [[2, 3, 6], [1, 5, 0], [4, 7, 8]]
solution = solve(puzzle)
print(solution)
```
该程序使用深度优先搜索算法来寻找数字华容道3x3的解决方案。它将从当前状态开始,并尝试将空格向上、下、左或右移动,并递归地搜索每个可能的下一步状态,直到找到一个解决方案或搜索完所有可能的状态。如果找到解决方案,则返回移动序列。如果没有找到解决方案,则返回None。
在程序中,get_blank_pos函数用于获取空格的位置。move函数用于移动数字块。is_solved函数用于检查数字华容道是否已经被解决。solve函数是程序的主要部分,它递归地搜索数字华容道的状态,并返回移动序列。最后,程序定义了一个初始数字华容道的状态,并调用solve函数来寻找解决方案。
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