

'''simple docstring'''
from __future__ import annotations


def  a__       (    _SCREAMING_SNAKE_CASE   :       list[int]	,				_SCREAMING_SNAKE_CASE   :       list[int]	,				_SCREAMING_SNAKE_CASE   :       list[int]	,				_SCREAMING_SNAKE_CASE   :       list[list[str]]	,				_SCREAMING_SNAKE_CASE   :       int	,				)     ->					None:


	"""simple docstring"""





	UpperCAmelCase_     :      Optional[int]						=  len(_SCREAMING_SNAKE_CASE				)

	# If row is equal to the size of the board it means there are a queen in each row in
	# the current board (possible_board)
	if row == n:
		# We convert the variable possible_board that looks like this: [1, 3, 0, 2] to
		# this: ['. Q . . ', '. . . Q ', 'Q . . . ', '. . Q . ']
		boards.append([". " * i + "Q " + ". " * (n - 1 - i) for i in possible_board]				)
		return

	# We iterate each column in the row to find all possible results in each row
	for col in range(_SCREAMING_SNAKE_CASE				):
		# We apply that we learned previously. First we check that in the current board
		# (possible_board) there are not other same value because if there is it means
		# that there are a collision in vertical. Then we apply the two formulas we
		# learned before:
		#
		# 45º: y - x = b or 45: row - col = b
		# 135º: y + x = b or row + col = b.
		#
		# And we verify if the results of this two formulas not exist in their variables
		# respectively.  (diagonal_right_collisions, diagonal_left_collisions)
		#
		# If any or these are True it means there is a collision so we continue to the
		# next value in the for loop.
		if (
		    col in possible_board
		    or row - col in diagonal_right_collisions
		    or row + col in diagonal_left_collisions
		):
			continue

		# If it is False we call dfs function again and we update the inputs
		depth_first_search(
		    [*possible_board, col]	,				[*diagonal_right_collisions, row - col]	,				[*diagonal_left_collisions, row + col]	,				_SCREAMING_SNAKE_CASE	,				_SCREAMING_SNAKE_CASE	,				)


def  a__       (    _SCREAMING_SNAKE_CASE   :       int				)     ->					None:


	"""simple docstring"""





	UpperCAmelCase_     :      list[list[str]]						=  []
	depth_first_search([]	,				[]	,				[]	,				_SCREAMING_SNAKE_CASE	,				_SCREAMING_SNAKE_CASE				)

	# Print all the boards
	for board in boards:
		for column in board:
			print(_SCREAMING_SNAKE_CASE				)
		print(""				)

	print(len(_SCREAMING_SNAKE_CASE				)	,				"solutions were found."				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					n_queens_solution(4)







UpperCAmelCase_							:					dict[str, float]		 =   {
    "joule": 1.0,
    "kilojoule": 1_000,
    "megajoule": 1_000_000,
    "gigajoule": 1_000_000_000,
    "wattsecond": 1.0,
    "watthour": 3_600,
    "kilowatthour": 3_600_000,
    "newtonmeter": 1.0,
    "calorie_nutr": 4_186.8,
    "kilocalorie_nutr": 4_186_800.00,
    "electronvolt": 1.6_0217_6634e-19,
    "britishthermalunit_it": 1_055.05_585,
    "footpound": 1.35_5818,
}
def 							__SCREAMING_SNAKE_CASE     (   a__    :   str			,a__    :   str			,a__    :   float       )					->				float:
	if to_type not in ENERGY_CONVERSION or from_type not in ENERGY_CONVERSION:
		__A :			Optional[int]		    =			(
		    f"""Incorrect 'from_type' or 'to_type' value: {from_type!r}, {to_type!r}\n"""
		    f"""Valid values are: {", ".join(a__       )}"""
		)
		raise ValueError(a__       )
	return value * ENERGY_CONVERSION[from_type] / ENERGY_CONVERSION[to_type]


if __name__ == "__main__":
			import doctest

			doctest.testmod()





