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Sudoku_solver.py
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Sudoku_solver.py
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#-----------------------------------------------------------------------Sudoku Solver----------------------------------------------------------------------------
from copy import deepcopy
#--------------------------------------------------------------------Enter Your Question------------------------------------------------------------------------
a = ([[[0], [0], [0], [0], [0], [5], [0], [7], [0]],
[[0], [0], [0], [3], [0], [0], [0], [6], [0]],
[[7], [6], [0], [0], [2], [9], [0], [0], [0]],
[[8], [0], [0], [0], [9], [0], [0], [4], [0]],
[[0], [0], [0], [0], [0], [0], [0], [0], [0]],
[[0], [5], [6], [0], [0], [3], [8], [0], [0]],
[[4], [0], [0], [0], [5], [8], [9], [0], [0]],
[[9], [0], [0], [0], [0], [0], [0], [0], [7]],
[[0], [0], [3], [0], [0], [0], [2], [0], [0]]])
class Sudoku:
def __init__(self,a):
self.a = a
def check_column(self, i,j):
num =self.a[i][j]
for (k,l) in [(0,j), (1,j), (2,j), (3,j), (4,j), (5,j), (6,j), (7,j), (8,j)]:
if (k,l) != (i,j):
if len(self.a[k][l]) == 1:
if num == self.a[k][l]:
return True
def check_row(self,i,j):
num = self.a[i][j]
for (k,l) in [(i,0), (i,1), (i,2), (i,3), (i,4), (i,5), (i,6), (i,7), (i,8)]:
if (k,l) != (i,j):
if len(self.a[k][l]) == 1:
if num == self.a[k][l]:
return True
def check_square_is_valid(self, square,i,j):
num = self.a[i][j]
for (k,l) in square:
if (k,l) != (i,j):
if len(self.a[k][l]) == 1:
if num == self.a[k][l]:
return True
def check_square(self,i,j):
square_1 = [(0,0), (1,0), (2,0), (0,1), (1,1), (2,1), (0,2), (1,2), (2,2)]
square_2 = [(3,0), (4,0), (5,0), (3,1), (4,1), (5,1), (3,2), (4,2), (5,2)]
square_3 = [(6,0), (7,0), (8,0), (6,1), (7,1), (8,1), (6,2), (7,2), (8,2)]
square_4 = [(0,3), (0,4), (0,5), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5)]
square_5 = [(3,3), (3,4), (3,5), (4,3), (4,4), (4,5), (5,3), (5,4), (5,5)]
square_6 = [(6,3), (6,4), (6,5), (7,3), (7,4), (7,5), (8,3), (8,4), (8,5)]
square_7 = [(0,6), (0,7), (0,8), (1,6), (1,7), (1,8), (2,6), (2,7), (2,8)]
square_8 = [(3,6), (3,7), (3,8), (4,6), (4,7), (4,8), (5,6), (5,7), (5,8)]
square_9 = [(6,6), (6,7), (6,8), (7,6), (7,7), (7,8), (8,6), (8,7), (8,8)]
if (i,j) in square_1:
return self.check_square_is_valid(square_1,i,j)
elif (i,j) in square_2:
return self.check_square_is_valid(square_2,i,j)
elif (i,j) in square_3:
return self.check_square_is_valid(square_3,i,j)
elif (i,j) in square_4:
return self.check_square_is_valid(square_4,i,j)
elif (i,j) in square_5:
return self.check_square_is_valid(square_5,i,j)
elif (i,j) in square_6:
return self.check_square_is_valid(square_6,i,j)
elif (i,j) in square_7:
return self.check_square_is_valid(square_7,i,j)
elif (i,j) in square_8:
return self.check_square_is_valid(square_8,i,j)
elif (i,j) in square_9:
return self.check_square_is_valid(square_9,i,j)
def check(self,i,j):
if (self.check_square(i,j) or self.check_row(i,j) or self.check_column(i,j)):
return True
return False
def assume_after_valid(self, changes, c):
something_different = deepcopy(c[-1])
for i in range(9):
for j in range(9):
self.a[i][j] = something_different[i][j]
if (changes[-1][2]+1) < len(self.a[changes[-1][0]][changes[-1][1]]):
i = changes[-1][0]
j = changes[-1][1]
k = changes[-1][2]
self.a[i][j] = [self.a[i][j][k+1]]
changes.pop()
changes.append([i,j,k+1])
else:
changes.pop()
c.pop()
self.assume_after_valid(changes, c)
def is_not_valid(self):
for i in range(9):
for j in range(9):
if self.a[i][j] == []:
return True
for i in range(9):
for j in range(9):
if len(self.a[i][j]) == 1:
if self.check(i,j):
return True
return False
def continue_assume(self, changes):
k=0
for i in range(9):
for j in range(9):
if len(self.a[i][j])>1:
changes.append([i,j,k])
self.a[i][j] = [self.a[i][j][k]]
k=1
break
if k==1:
break
def check_in_square_1(self,square, i,j):
for num in range(1,10):
coun=0
for (k,l) in square:
if self.a[k][l] != [0] and len(self.a[k][l]) == 1:
if num in self.a[k][l]:
coun=1
break
if coun==0:
if self.a[i][j] == [0]:
self.a[i][j] = [num]
else:
self.a[i][j].append(num)
def check_in_square(self,square, i,j):
for num in self.a[i][j]:
for (k,l) in square:
if self.a[k][l] != [0] and len(self.a[k][l]) == 1:
if num in self.a[k][l]:
self.a[i][j].remove(num)
break
def check_in_row(self, i,j):
for num in self.a[i][j]:
for (k,l) in [(i,0), (i,1), (i,2), (i,3), (i,4), (i,5), (i,6), (i,7), (i,8)]:
if (k,l) != (i,j):
if self.a[k][l] != [0] and len(self.a[k][l]) == 1:
if num in self.a[k][l]:
if num in self.a[i][j]:
self.a[i][j].remove(num)
break
def check_in_column(self, i,j):
for num in self.a[i][j]:
for (k,l) in [(0,j), (1,j), (2,j), (3,j), (4,j), (5,j), (6,j), (7,j), (8,j)]:
if (k,l) != (i,j):
if self.a[k][l] != [0] and len(self.a[k][l]) == 1:
if num in self.a[k][l]:
if num in self.a[i][j]:
self.a[i][j].remove(num)
break
def square_1(self, i,j):
square_1 = [(0,0), (1,0), (2,0), (0,1), (1,1), (2,1), (0,2), (1,2), (2,2)]
square_2 = [(3,0), (4,0), (5,0), (3,1), (4,1), (5,1), (3,2), (4,2), (5,2)]
square_3 = [(6,0), (7,0), (8,0), (6,1), (7,1), (8,1), (6,2), (7,2), (8,2)]
square_4 = [(0,3), (0,4), (0,5), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5)]
square_5 = [(3,3), (3,4), (3,5), (4,3), (4,4), (4,5), (5,3), (5,4), (5,5)]
square_6 = [(6,3), (6,4), (6,5), (7,3), (7,4), (7,5), (8,3), (8,4), (8,5)]
square_7 = [(0,6), (0,7), (0,8), (1,6), (1,7), (1,8), (2,6), (2,7), (2,8)]
square_8 = [(3,6), (3,7), (3,8), (4,6), (4,7), (4,8), (5,6), (5,7), (5,8)]
square_9 = [(6,6), (6,7), (6,8), (7,6), (7,7), (7,8), (8,6), (8,7), (8,8)]
if (i,j) in square_1:
self.check_in_square_1(square_1,i,j)
elif (i,j) in square_2:
self.check_in_square_1(square_2,i,j)
elif (i,j) in square_3:
self.check_in_square_1(square_3,i,j)
elif (i,j) in square_4:
self.check_in_square_1(square_4,i,j)
elif (i,j) in square_5:
self.check_in_square_1(square_5,i,j)
elif (i,j) in square_6:
self.check_in_square_1(square_6,i,j)
elif (i,j) in square_7:
self.check_in_square_1(square_7,i,j)
elif (i,j) in square_8:
self.check_in_square_1(square_8,i,j)
elif (i,j) in square_9:
self.check_in_square_1(square_9,i,j)
def square(self, i,j):
square_1 = [(0,0), (1,0), (2,0), (0,1), (1,1), (2,1), (0,2), (1,2), (2,2)]
square_2 = [(3,0), (4,0), (5,0), (3,1), (4,1), (5,1), (3,2), (4,2), (5,2)]
square_3 = [(6,0), (7,0), (8,0), (6,1), (7,1), (8,1), (6,2), (7,2), (8,2)]
square_4 = [(0,3), (0,4), (0,5), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5)]
square_5 = [(3,3), (3,4), (3,5), (4,3), (4,4), (4,5), (5,3), (5,4), (5,5)]
square_6 = [(6,3), (6,4), (6,5), (7,3), (7,4), (7,5), (8,3), (8,4), (8,5)]
square_7 = [(0,6), (0,7), (0,8), (1,6), (1,7), (1,8), (2,6), (2,7), (2,8)]
square_8 = [(3,6), (3,7), (3,8), (4,6), (4,7), (4,8), (5,6), (5,7), (5,8)]
square_9 = [(6,6), (6,7), (6,8), (7,6), (7,7), (7,8), (8,6), (8,7), (8,8)]
if (i,j) in square_1:
self.check_in_square(square_1,i,j)
elif (i,j) in square_2:
self.check_in_square(square_2,i,j)
elif (i,j) in square_3:
self.check_in_square(square_3,i,j)
elif (i,j) in square_4:
self.check_in_square(square_4,i,j)
elif (i,j) in square_5:
self.check_in_square(square_5,i,j)
elif (i,j) in square_6:
self.check_in_square(square_6,i,j)
elif (i,j) in square_7:
self.check_in_square(square_7,i,j)
elif (i,j) in square_8:
self.check_in_square(square_8,i,j)
elif (i,j) in square_9:
self.check_in_square(square_9,i,j)
def solve_1(self):
for j in range(9):
for i in range(9):
if self.a[i][j] == [0] or len(self.a[i][j])>1:
self.square_1(i,j)
self.check_in_row(i,j)
self.check_in_column(i,j)
def solve(self):
for j in range(9):
for i in range(9):
if len(self.a[i][j])>1:
self.square(i,j)
self.check_in_row(i,j)
self.check_in_column(i,j)
c=[]
changes = []
question = Sudoku(a)
question.solve_1()
run = True
print("START")
while run:
b = deepcopy(a)
for i in range(9):
for j in range(9):
question.solve()
counter = 0
for i in range(9):
for j in range(9):
if len(a[i][j]) == 1:
counter+=1
if counter == 81:
run = False
for i in range(9):
for j in range(9):
print(a[i][j], end="")
print()
print()
if question.is_not_valid():
question.assume_after_valid(changes, c)
while len(c)>len(changes):
c.pop()
if run:
if b == a:
copy_to_c = deepcopy(b)
c.append(copy_to_c)
question.continue_assume(changes)