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main
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def print_board(board):
for i in range(len(board)):
if i % 3 == 0 and i != 0:
print("- - - - - - - - - - -")
for j in range(len(board[i])):
if j % 3 == 0 and j != 0:
print(" | ", end="")
if j == 8:
print(board[i][j])
else:
print(str(board[i][j]) + " ", end="")
def find_empty(board):
for i in range(len(board)):
for j in range(len(board[i])):
if board[i][j] == 0:
return (i, j)
return None
def is_valid(board, num, position):
# Check row
for i in range(len(board[0])):
if board[position[0]][i] == num and position[1] != i:
return False
# Check column
for i in range(len(board)):
if board[i][position[1]] == num and position[0] != i:
return False
# Check 3x3 box
box_row = position[0] // 3
box_col = position[1] // 3
for i in range(box_row * 3, box_row * 3 + 3):
for j in range(box_col * 3, box_col * 3 + 3):
if board[i][j] == num and (i, j) != position:
return False
return True
def solve_sudoku(board):
find = find_empty(board)
if not find:
return True
else:
row, col = find
for num in range(1, 10):
if is_valid(board, num, (row, col)):
board[row][col] = num
if solve_sudoku(board):
return True
board[row][col] = 0
return False
# Example Sudoku board (0 represents empty cells)
board = [
[5, 3, 0, 0, 7, 0, 0, 0, 0],
[6, 0, 0, 1, 9, 5, 0, 0, 0],
[0, 9, 8, 0, 0, 0, 0, 6, 0],
[8, 0, 0, 0, 6, 0, 0, 0, 3],
[4, 0, 0, 8, 0, 3, 0, 0, 1],
[7, 0, 0, 0, 2, 0, 0, 0, 6],
[0, 6, 0, 0, 0, 0, 2, 8, 0],
[0, 0, 0, 4, 1, 9, 0, 0, 5],
[0, 0, 0, 0, 8, 0, 0, 7, 9]
]
print("Sudoku Board:")
print_board(board)
solve_sudoku(board)
print("\nSolution:")
print_board(board)