
from __future__ import annotations

__magic_name__            =  list[list[int]]

# assigning initial values to the grid
__magic_name__            =  [
    [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],
]

# a grid with no solution
__magic_name__            =  [
    [5, 0, 6, 5, 0, 8, 4, 0, 3],
    [5, 2, 0, 0, 0, 0, 0, 0, 2],
    [1, 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],
]





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase    ,		__lowerCAmelCase    ,		__lowerCAmelCase    ,		__lowerCAmelCase							):
    for i in range(9							):
        if grid[row][i] == n or grid[i][column] == n:
            return False

    for i in range(3							):
        for j in range(3							):
            if grid[(row - row % 3) + i][(column - column % 3) + j] == n:
                return False

    return True





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase							):
    for i in range(9							):
        for j in range(9							):
            if grid[i][j] == 0:
                return i, j
    return None





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase							):
    if location := find_empty_location(_lowerCamelCase							):
        snake_case__						,					snake_case__						=				location
    else:
        # If the location is ``None``, then the grid is solved.
        return grid

    for digit in range(1    ,		10							):
        if is_safe(_lowerCamelCase    ,		_lowerCamelCase    ,		_lowerCamelCase    ,		_lowerCamelCase							):
            snake_case__						=				digit

            if sudoku(_lowerCamelCase							) is not None:
                return grid

            snake_case__						=				0

    return None





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase							):
    for row in grid:
        for cell in row:
            print(_lowerCamelCase    ,		end=" "							)
        print()


if __name__ == "__main__":
       # make a copy of grid so that you can compare with the unmodified grid
       for example_grid in (initial_grid, no_solution):
              print('''\nExample grid:\n''' + '''=''' * 20)
              print_solution(example_grid)
              print('''\nExample grid solution:''')
              __magic_name__            =  sudoku(example_grid)
              if solution is not None:
                     print_solution(solution)
              else:
                     print('''Cannot find a solution.''')





from __future__ import annotations





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase    ,		__lowerCAmelCase							):
    if len(__lowerCAmelCase							) == 0:
        return False
    snake_case__						=				len(__lowerCAmelCase							) // 2
    if a_list[midpoint] == item:
        return True
    if item < a_list[midpoint]:
        return binary_search(a_list[:midpoint]    ,		__lowerCAmelCase							)
    else:
        return binary_search(a_list[midpoint + 1 :]    ,		__lowerCAmelCase							)


if __name__ == "__main__":
     __magic_name__            =  input('''Enter numbers separated by comma:\n''').strip()
     __magic_name__            =  [int(item.strip()) for item in user_input.split(''',''')]
     __magic_name__            =  int(input('''Enter the number to be found in the list:\n''').strip())
     __magic_name__            =  '''''' if binary_search(sequence, target) else '''not '''
     print(F'''{target} was {not_str}found in {sequence}''')



