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sudoku.py
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board = [
[9,0,0,1,0,6,0,0,8],
[0,0,2,0,0,0,1,0,0],
[0,8,0,2,0,0,0,9,0],
[1,0,0,0,4,0,5,0,3],
[0,0,0,7,0,3,0,0,0],
[3,0,4,0,2,0,0,0,1],
[0,3,0,0,0,5,0,1,0],
[0,0,5,0,0,0,7,0,0],
[2,0,0,8,0,1,0,0,6]
]
def solve(bo):
find = find_empty(bo)
if not find:
return True
else:
row, col = find
for i in range(1,10):
if valid(bo, i, (row, col)):
bo[row][col] = i
if solve(bo):
return True
bo[row][col] = 0
return False
def valid(bo, num, pos):
# check row
for i in range(len(bo[0])):
if bo[pos[0]][i] == num and pos[1] != i:
return False
# check column
for i in range(len(bo)):
if bo[i][pos[1]] == num and pos[0] != i:
return False
# check box
box_x = pos[1] // 3
box_y = pos[0] // 3
for i in range(box_y * 3, box_y*3 + 3):
for j in range(box_x * 3, box_x*3 + 3):
if bo[i][j] == num and (i,j) != pos:
return False
return True
def print_board(bo) :
for i in range(len(bo)):
if i%3==0 and i!=0:
print("------+-------+------")
for j in range(len(bo[0])):
if j%3==0 and j!=0:
print("| ",end="")
if j==8:
print(bo[i][j])
else:
print(str(bo[i][j]) + " ", end="")
def find_empty(bo):
for i in range(len(bo)):
for j in range(len(bo)):
if bo[i][j]==0:
return (i,j) #row,col
return None
print_board(board)
solve(board)
print(" ")
print("=====================")
print("======Solution=======")
print("=====================")
print(" ")
print_board(board)