import sys
sys.setrecursionlimit(1500) # the default recursion limit is 1000
def print_grid(arr):
for i in range(9):
for j in range(9):
print(arr[i][j])
print('\n')
def find_empty_location(arr, l):
for i in range(9):
for j in range(9):
if (arr[i][j] == 0):
l[0] = i
l[1] = j
return True
return False
def row_check(arr, row, num):
for x in range(9):
if arr[row][x] == num:
return True
return False
def col_check(arr, col, num):
for i in range(9):
if arr[i][col] == num:
return True
return False
def used_in_box(arr, row, col, num):
for i in range(3):
for j in range(3):
if (arr[i + row][j + col] == num):
return True
return False
def check_location_is_safe(arr, row, col, num):
return not row_check(arr, row, num) and not col_check(arr, col, num) and not used_in_box(arr, row - row % 3, col - col % 3, num)
def solve_sudoku(arr):
l = [0, 0]
if (not find_empty_location(arr, l)):
return True
row = l[0]
col = l[1]
for num in range(1, 10):
if check_location_is_safe(arr, row, col, num):
arr[row][col] == num
if solve_sudoku(arr):
return True
else:
arr[row][col] = 0
return False
if __name__ == "__main__":
grid = [[0 for x in range(9)] for y in range(9)]
grid = [[3, 0, 6, 5, 0, 8, 4, 0, 0],
[5, 2, 0, 0, 0, 0, 0, 0, 0],
[0, 8, 7, 0, 0, 0, 0, 3, 1],
[0, 0, 3, 0, 1, 0, 0, 8, 0],
[9, 0, 0, 8, 6, 3, 0, 0, 5],
[0, 5, 0, 0, 9, 0, 6, 0, 0],
[1, 3, 0, 0, 0, 0, 2, 5, 0],
[0, 0, 0, 0, 0, 0, 0, 7, 4],
[0, 0, 5, 2, 0, 6, 3, 0, 0]]
if (solve_sudoku(grid)):
print_grid(grid)
else:
print('NO SOLUTION EXISTS')