





'''simple docstring'''

__lowerCAmelCase				:      Optional[int]						      ={
    "meter": "m",
    "kilometer": "km",
    "megametre": "Mm",
    "gigametre": "Gm",
    "terametre": "Tm",
    "petametre": "Pm",
    "exametre": "Em",
    "zettametre": "Zm",
    "yottametre": "Ym",
}
# Exponent of the factor(meter)
__lowerCAmelCase				:      Optional[int]						      ={
    "m": 0,
    "km": 3,
    "Mm": 6,
    "Gm": 9,
    "Tm": 12,
    "Pm": 15,
    "Em": 18,
    "Zm": 21,
    "Ym": 24,
}





def 		UpperCamelCase							(				_lowerCamelCase   :   Dict		,			_lowerCamelCase   :   int		,			_lowerCamelCase   :   Tuple			):
    A__							=     from_type.lower().strip("s"			)
    A__							=     to_type.lower().strip("s"			)

    A__							=     UNIT_SYMBOL.get(_lowerCamelCase		,			_lowerCamelCase			)
    A__							=     UNIT_SYMBOL.get(_lowerCamelCase		,			_lowerCamelCase			)

    if from_sanitized not in METRIC_CONVERSION:
        A__							=     (
            F"Invalid 'from_type' value: {from_type!r}.\n"
            F"Conversion abbreviations are: {', '.join(_lowerCamelCase			)}"
        )
        raise ValueError(_lowerCamelCase			)
    if to_sanitized not in METRIC_CONVERSION:
        A__							=     (
            F"Invalid 'to_type' value: {to_type!r}.\n"
            F"Conversion abbreviations are: {', '.join(_lowerCamelCase			)}"
        )
        raise ValueError(_lowerCamelCase			)
    A__							=     METRIC_CONVERSION[from_sanitized]
    A__							=     METRIC_CONVERSION[to_sanitized]
    A__							=     1

    if from_exponent > to_exponent:
        A__							=     from_exponent - to_exponent
    else:
        A__							=     -(to_exponent - from_exponent)

    return value * pow(10		,			_lowerCamelCase			)


if __name__ == "__main__":
  from doctest import testmod

  testmod()







'''simple docstring'''






from __future__ import annotations

__UpperCAmelCase       							=				list[list[int]]

# assigning initial values to the grid
__UpperCAmelCase       							=				[
    [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
__UpperCAmelCase       							=				[
    [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    _snake_case  (	A					,       A					,       A					,       A			)		->       bool:
							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    _snake_case  (	A			)		->       tuple[int, int] | None:
							for i in range(9			):
														for j in range(9			):
																					if grid[i][j] == 0:
																												return i, j
							return None


def    _snake_case  (	A			)		->       Matrix | None:
							if location := find_empty_location(A			):
														lowerCAmelCase__  ,   lowerCAmelCase__			  =      location
							else:
														# If the location is ``None``, then the grid is solved.
														return grid

							for digit in range(1					,       10			):
														if is_safe(A					,       A					,       A					,       A			):
																					lowerCAmelCase__			  =      digit

																					if sudoku(A			) is not None:
																												return grid

																					lowerCAmelCase__			  =      0

							return None


def    _snake_case  (	A			)		->       None:
							for row in grid:
														for cell in row:
																					print(A					,       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:''')
				__UpperCAmelCase       							=				sudoku(example_grid)
				if solution is not None:
						print_solution(solution)
				else:
						print('''Cannot find a solution.''')