[英]Sudoku backtracking solver bug
好的,我已經為此撓頭了幾個小時了..
我的目標是編寫一個使用回溯方法的數獨求解器,並使用 pygame 顯示算法的進度。 為此,我必須跟蹤事件,我通過將它們附加到名為registre
的列表中來做到這一點,如代碼所示:
def solver(self):
self.t1 = time.time()
if self.t1-self.t0 > self.solve_time_max:
sys.exit(1)
for i in range(self.grid.shape[0]):
for j in range(self.grid.shape[1]):
if self.grid[i][j]==0:
for n in range(1,10):
self.registre.append([n,i,j])
if self.verify(n,i,j):
self.grid[i][j]=n
self.solver()
if 0 not in self.grid:
break
self.registre.append([0,i,j])
self.grid[i][j]=0
return self.grid
實際上,我成功了,並且大多數運行情況都很好。 但有時,由於某種我無法識別的原因,會發生這種情況:
print(une_grille.grid0)
print(une_grille.grid)
print(une_grille.registre[:20])
[[0 8 0 7 0 0 0 0 2]
[5 0 0 0 0 9 0 0 0]
[0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0]
[0 1 0 0 6 0 0 0 0]
[4 0 0 9 0 0 0 0 0]
[0 0 9 0 8 0 0 0 4]
[2 0 0 0 0 0 0 8 0]
[0 0 0 0 0 0 0 0 0]]
[[1 8 3 7 4 5 6 9 2]
[5 2 4 6 1 9 3 7 8]
[6 9 7 2 3 8 1 4 5]
[3 5 2 8 7 1 4 6 9]
[9 1 8 3 6 4 2 5 7]
[4 7 6 9 5 2 8 1 3]
[7 3 9 1 8 6 5 2 4]
[2 4 1 5 9 3 7 8 6]
[8 6 5 4 2 7 9 3 1]]
[[1, 0, 0], [1, 0, 1], [0, 0, 1], [2, 0, 1], [0, 0, 1], [3, 0, 1], [1, 0,
2], [0, 0, 2], [2, 0, 2], [0, 0, 2], [3, 0, 2], [0, 0, 2], [4, 0, 2], [0,
0, 2], [5, 0, 2], [1, 0, 3], [0, 0, 3], [2, 0, 3], [0, 0, 3], [3, 0, 3]]
打印的只是初始化的網格、求解的網格和self.registre
中的前 20 個事件。 對於此運行,pygame 上的顯示不起作用,一些數字重疊,而另一些則留空。 我幾乎可以肯定這不是顯示問題,因為顯示registre
使用列表注冊表,並且對於大多數其他運行來說它工作得很好。 我也不明白這些事件。
完整腳本:
import numpy as np
import random as rd
import time
import sys
class Grid():
"""
une Docstring
"""
def __init__(self, nval=15, dim=(9,9), tries_max=1000, init_time_max=5e-3, solve_time_max = 1):
self.nval = nval+1
self.dim = dim
self.t0 = 0
self.t1 = 0
self.tries_max = tries_max
self.k = 0
self.init_time_max = init_time_max
self.solve_time_max = solve_time_max
self.registre = []
self.grid = self.create_grid()
self.smthg = 0
def create_grid(self):
for tries in range(self.tries_max):
self.k = 0
if tries == self.tries_max -1:
print(f"Tried {self.tries_max} times, I have failed")
sys.exit(1)
self.grid0 = np.zeros([self.dim[0],self.dim[1]], dtype=int)
try:
self.grid0 = self.initialize_board()
except SystemExit:
print(f"TRY #{tries}: Spent too much time initializing board. Re-trying.")
continue
self.grid = np.copy(self.grid0)
try:
self.t0 = time.time()
self.grid = self.solver()
if 0 not in self.grid:
print(f"Found grid with solution after n = {tries+1} tries!")
return self.grid
else:
print(f"TRY #{tries} converged to null solution")
continue
except SystemExit:
print(f"TRY #{tries} too much time spent trying to solve current grid, continuing")
continue
print("Maximum tries reached")
def initialize_board(self):
for i in range(self.nval):
rx = rd.randint(0, self.grid0.shape[0]-1)
ry = rd.randint(0, self.grid0.shape[1]-1)
cx = int(rx/3)
cy = int(ry/3)
time0 = time.time()
while(self.grid0[rx][ry]==0):
if time.time()-time0 > self.init_time_max:
sys.exit(1)
r = rd.randint(1, 9)
if((r in self.grid0[rx,:]) or (r in self.grid0[:,ry]) or (r in self.grid0[3*cx:3*cx+3,3*cy:3*cy+3])):
continue
else:
self.grid0[rx][ry] = r
return self.grid0
def solver(self):
self.t1 = time.time()
if self.t1-self.t0 > self.solve_time_max:
sys.exit(1)
for i in range(self.grid.shape[0]):
for j in range(self.grid.shape[1]):
if self.grid[i][j]==0:
for n in range(1,10):
self.registre.append([n,i,j])
if self.verify(n,i,j):
self.grid[i][j]=n
self.solver()
if 0 not in self.grid:
break
self.registre.append([0,i,j])
self.grid[i][j]=0
return self.grid
def verify(self, number, x, y):
cx = int(x/3)
cy = int(y/3)
if((number in self.grid[x,:]) or (number in self.grid[:,y]) or (number in self.grid[3*cx:3*cx+3,3*cy:3*cy+3])):
return False
return True
game = Grid(nval = 35)
print(game.grid)
print(game.grid0)
print(game.registre[:20])
該問題的另一個實例:
[[1 2 3 9 5 7 6 4 8]
[5 8 4 6 2 1 9 7 3]
[7 9 6 8 4 3 1 5 2]
[6 7 2 5 1 4 3 8 9]
[3 4 9 7 8 6 5 2 1]
[8 5 1 3 9 2 7 6 4]
[2 1 5 4 6 9 8 3 7]
[4 6 7 1 3 8 2 9 5]
[9 3 8 2 7 5 4 1 6]]
[[0 0 0 9 0 7 6 0 0]
[0 0 0 6 0 0 0 0 3]
[0 0 0 8 4 3 1 5 2]
[6 0 0 0 0 0 0 0 0]
[0 4 9 0 0 6 5 2 0]
[0 5 1 0 9 0 7 0 0]
[0 1 5 0 0 0 0 0 0]
[0 0 7 0 0 0 0 0 5]
[9 0 0 2 0 0 0 1 0]]
[[1, 0, 2], [0, 0, 2], [2, 0, 2], [0, 0, 2], [3, 0, 2], [1, 0, 3], [0, 0, 3], [2, 0, 3], [0, 0, 3], [3, 0, 3], [0, 0, 3], [4, 0, 3], [1, 0, 4], [0, 0, 4], [2, 0, 4], [0, 0, 4], [3, 0, 4], [0, 0, 4], [4, 0, 4], [0, 0, 4]]
如果您能幫我解決這個問題,我將不勝感激。
添加重復生成網格的代碼后,很明顯您沒有創建Grid
的新實例,而是改變現有實例。 在該過程中,您應該注意完全重置 state。 您只能部分執行此操作,例如通過重置t0
。 但是您沒有重置registre
,因此當您打印前 20 個項目時,您實際上是在查看第一次嘗試的日志,而不是成功的日志。
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