
"""simple docstring"""







_SCREAMING_SNAKE_CASE	       =      [0, 2, 4, 6, 8]
_SCREAMING_SNAKE_CASE	       =      [1, 3, 5, 7, 9]
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							if remaining_length == 0:
														if digits[0] == 0 or digits[-1] == 0:
																					return 0

														for i in range(length // 2 - 1							,    -1							,    -1 ):
																					remainder += digits[i] + digits[length - i - 1]

																					if remainder % 2 == 0:
																												return 0

																					remainder //= 10

														return 1

							if remaining_length == 1:
														if remainder % 2 == 0:
																					return 0

														__snake_case     			=       0
														for digit in range(10 ):
																					__snake_case     			=       digit
																					result += reversible_numbers(
																					    0							,    (remainder + 2 * digit) // 10							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )
														return result

							__snake_case     			=       0
							for digita in range(10 ):
														__snake_case     			=       digita

														if (remainder + digita) % 2 == 0:
																					__snake_case     			=       ODD_DIGITS
														else:
																					__snake_case     			=       EVEN_DIGITS

														for digita in other_parity_digits:
																					__snake_case     			=       digita
																					result += reversible_numbers(
																					    remaining_length - 2							,    (remainder + digita + digita) // 10							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    )
							return result
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE = 9 )  ->     int:







							"""simple docstring"""


							__snake_case     			=       0
							for length in range(1							,    max_power + 1 ):
														result += reversible_numbers(SCREAMING_SNAKE_CASE							,    0							,    [0] * length							,    SCREAMING_SNAKE_CASE )
							return result


if __name__ == "__main__":
		print(F"""{solution() = }""")


"""simple docstring"""







from __future__ import annotations

from itertools import permutations
from random import randint
from timeit import repeat
def   __UpperCamelCase   (					)  ->     tuple[list[int], int]:







							"""simple docstring"""


							__snake_case     			=       [randint(-10_00							,    10_00 ) for i in range(10 )]
							__snake_case     			=       randint(-50_00							,    50_00 )
							return (arr, r)


_SCREAMING_SNAKE_CASE	       =      make_dataset()
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )  ->     tuple[int, ...]:







							"""simple docstring"""


							for triplet in permutations(SCREAMING_SNAKE_CASE							,    3 ):
														if sum(SCREAMING_SNAKE_CASE ) == target:
																					return tuple(sorted(SCREAMING_SNAKE_CASE ) )
							return (0, 0, 0)
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )  ->     tuple[int, int, int]:







							"""simple docstring"""


							arr.sort()
							__snake_case     			=       len(SCREAMING_SNAKE_CASE )
							for i in range(n - 1 ):
														__snake_case			,   __snake_case     			=       i + 1, n - 1
														while left < right:
																					if arr[i] + arr[left] + arr[right] == target:
																												return (arr[i], arr[left], arr[right])
																					elif arr[i] + arr[left] + arr[right] < target:
																												left += 1
																					elif arr[i] + arr[left] + arr[right] > target:
																												right -= 1
							return (0, 0, 0)
def   __UpperCamelCase   (					)  ->     tuple[float, float]:







							"""simple docstring"""


							__snake_case     			=       "\nfrom __main__ import dataset, triplet_sum1, triplet_sum2\n"
							__snake_case     			=       "\ntriplet_sum1(*dataset)\n"
							__snake_case     			=       "\ntriplet_sum2(*dataset)\n"
							__snake_case     			=       repeat(setup=SCREAMING_SNAKE_CASE							,    stmt=SCREAMING_SNAKE_CASE							,    repeat=5							,    number=1_00_00 )
							__snake_case     			=       repeat(setup=SCREAMING_SNAKE_CASE							,    stmt=SCREAMING_SNAKE_CASE							,    repeat=5							,    number=1_00_00 )
							return (min(SCREAMING_SNAKE_CASE ), min(SCREAMING_SNAKE_CASE ))


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

		testmod()
		_SCREAMING_SNAKE_CASE	       =      solution_times()
		print(F"""The time for naive implementation is {times[0]}.""")
		print(F"""The time for optimized implementation is {times[1]}.""")
