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

from collections.abc import Sequence
from typing import Literal






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  list(_SCREAMING_SNAKE_CASE				)
							_snake_case       =  list(_SCREAMING_SNAKE_CASE				)
							_snake_case       =  0
							for i in range(len(_SCREAMING_SNAKE_CASE				)				):
														if lista[i] != lista[i]:
																					count += 1
																					_snake_case       =  """_"""
							if count > 1:
														return False
							else:
														return "".join(_SCREAMING_SNAKE_CASE				)






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE				):
							_snake_case       =  []
							while True:
														_snake_case       =  ["""$"""] * len(_SCREAMING_SNAKE_CASE				)
														_snake_case       =  []
														for i in range(len(_SCREAMING_SNAKE_CASE				)				):
																					for j in range(i + 1							, len(_SCREAMING_SNAKE_CASE				)				):
																												_snake_case       =  compare_string(binary[i]							, binary[j]				)
																												if k is False:
																																			_snake_case       =  """*"""
																																			_snake_case       =  """*"""
																																			temp.append("""X"""				)
														for i in range(len(_SCREAMING_SNAKE_CASE				)				):
																					if checka[i] == "$":
																												pi.append(binary[i]				)
														if len(_SCREAMING_SNAKE_CASE				) == 0:
																					return pi
														_snake_case       =  list(set(_SCREAMING_SNAKE_CASE				)				)






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  []
							for minterm in minterms:
														_snake_case       =  """"""
														for _ in range(_SCREAMING_SNAKE_CASE				):
																					_snake_case       =  str(minterm % 2				) + string
																					minterm //= 2
														temp.append(_SCREAMING_SNAKE_CASE				)
							return temp






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  list(_SCREAMING_SNAKE_CASE				)
							_snake_case       =  list(_SCREAMING_SNAKE_CASE				)
							_snake_case       =  0
							for i in range(len(_SCREAMING_SNAKE_CASE				)				):
														if lista[i] != lista[i]:
																					count_n += 1
							return count_n == count






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  []
							_snake_case       =  [0] * len(_SCREAMING_SNAKE_CASE				)
							for i in range(len(chart[0]				)				):
														_snake_case       =  0
														_snake_case       =  -1
														for j in range(len(_SCREAMING_SNAKE_CASE				)				):
																					if chart[j][i] == 1:
																												count += 1
																												_snake_case       =  j
														if count == 1:
																					_snake_case       =  1
							for i in range(len(_SCREAMING_SNAKE_CASE				)				):
														if select[i] == 1:
																					for j in range(len(chart[0]				)				):
																												if chart[i][j] == 1:
																																			for k in range(len(_SCREAMING_SNAKE_CASE				)				):
																																										_snake_case       =  0
																					temp.append(prime_implicants[i]				)
							while True:
														_snake_case       =  0
														_snake_case       =  -1
														_snake_case       =  0
														for i in range(len(_SCREAMING_SNAKE_CASE				)				):
																					_snake_case       =  chart[i].count(1				)
																					if count_n > max_n:
																												_snake_case       =  count_n
																												_snake_case       =  i

														if max_n == 0:
																					return temp

														temp.append(prime_implicants[rem]				)

														for i in range(len(chart[0]				)				):
																					if chart[rem][i] == 1:
																												for j in range(len(_SCREAMING_SNAKE_CASE				)				):
																																			_snake_case       =  0






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  [[0 for x in range(len(_SCREAMING_SNAKE_CASE				)				)] for x in range(len(_SCREAMING_SNAKE_CASE				)				)]
							for i in range(len(_SCREAMING_SNAKE_CASE				)				):
														_snake_case       =  prime_implicants[i].count("""_"""				)
														for j in range(len(_SCREAMING_SNAKE_CASE				)				):
																					if is_for_table(prime_implicants[i]							, binary[j]							, _SCREAMING_SNAKE_CASE				):
																												_snake_case       =  1

							return chart






def  __SCREAMING_SNAKE_CASE				(  ):
							_snake_case       =  int(input("""Enter the no. of variables\n"""				)				)
							_snake_case       =  [
							    float(_SCREAMING_SNAKE_CASE				)
							    for x in input(
							        """Enter the decimal representation of Minterms 'Spaces Separated'\n"""				).split()
							]
							_snake_case       =  decimal_to_binary(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				)

							_snake_case       =  check(_SCREAMING_SNAKE_CASE				)
							print("""Prime Implicants are:"""				)
							print(_SCREAMING_SNAKE_CASE				)
							_snake_case       =  prime_implicant_chart(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				)

							_snake_case       =  selection(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				)
							print("""Essential Prime Implicants are:"""				)
							print(_SCREAMING_SNAKE_CASE				)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()

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

import typing
from collections import Counter






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE				):
							_snake_case       =  Counter()
							for base in range(1							, max_perimeter + 1				):
														for perpendicular in range(_SCREAMING_SNAKE_CASE							, max_perimeter + 1				):
																					_snake_case       =  (base * base + perpendicular * perpendicular) ** 0.5
																					if hypotenuse == int(_SCREAMING_SNAKE_CASE				):
																												_snake_case       =  int(base + perpendicular + hypotenuse				)
																												if perimeter > max_perimeter:
																																			continue
																												triplets[perimeter] += 1
							return triplets






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE = 1000				):
							_snake_case       =  pythagorean_triple(_SCREAMING_SNAKE_CASE				)
							return triplets.most_common(1				)[0][0]


if __name__ == "__main__":
				print(f'''Perimeter {solution()} has maximum solutions''')