code: 
  
  
  '''simple docstring'''
  
  from __future__ import annotations
  
  import os
  class _lowerCamelCase :
  
  
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		A_			:    Optional[Any]   					=       (
  		    """High card""",
  		    """One pair""",
  		    """Two pairs""",
  		    """Three of a kind""",
  		    """Straight""",
  		    """Flush""",
  		    """Full house""",
  		    """Four of a kind""",
  		    """Straight flush""",
  		    """Royal flush""",
  		)
  
  		A_			:    int   					=       (
  		    """""",  # placeholder as tuples are zero-indexed
  		    """One""",
  		    """Two""",
  		    """Three""",
  		    """Four""",
  		    """Five""",
  		    """Six""",
  		    """Seven""",
  		    """Eight""",
  		    """Nine""",
  		    """Ten""",
  		    """Jack""",
  		    """Queen""",
  		    """King""",
  		    """Ace""",
  		)
  
  
  
  
  
  
  
  		def __init__(      self	:		str						,  _A	:		Tuple    )						->				None:
  
  			if not isinstance(lowercase_						,  lowercase_    ):
  				__magic_name__ :					int  			=  F'Hand should be of type \'str\': {hand!r}'
  				raise TypeError(lowercase_    )
  			# split removes duplicate whitespaces so no need of strip
  			if len(hand.split(' '    )    ) != 5:
  				__magic_name__ :					Any  			=  F'Hand should contain only 5 cards: {hand!r}'
  				raise ValueError(lowercase_    )
  			__magic_name__ :					Tuple  			=  hand
  			__magic_name__ :					List[str]  			=  0
  			__magic_name__ :					int  			=  0
  			__magic_name__ :					int  			=  self._internal_state()
  			__magic_name__ :					str  			=  self._get_hand_type()
  			__magic_name__ :					Optional[Any]  			=  self._card_values[0]
  
  
  
  
  
  
  
  		@property
  		def      __lowerCAmelCase	(      self	:		int    )						->				int:
  			return self._hand
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Union[str, Any]						,  _A	:		int    )						->				str:
  
  			if self._hand_type > other._hand_type:
  				return "Win"
  			elif self._hand_type < other._hand_type:
  				return "Loss"
  			elif self._first_pair == other._first_pair:
  				if self._second_pair == other._second_pair:
  					return self._compare_cards(lowercase_    )
  				else:
  					return "Win" if self._second_pair > other._second_pair else "Loss"
  			return "Win" if self._first_pair > other._first_pair else "Loss"
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		List[str]    )						->				str:
  			__magic_name__ :					List[str]  			=  PokerHand._HAND_NAME[self._hand_type - 14]
  			__magic_name__ :					Optional[int]  			=  PokerHand._CARD_NAME[self._high_card]
  			__magic_name__ :					Tuple  			=  PokerHand._CARD_NAME[self._first_pair]
  			__magic_name__ :					Dict  			=  PokerHand._CARD_NAME[self._second_pair]
  			if self._hand_type in [22, 19, 18]:
  				return name + F', {high}-high'
  			elif self._hand_type in [21, 17, 15]:
  				return name + F', {paira}s'
  			elif self._hand_type in [20, 16]:
  				__magic_name__ :					Any  			=  '''over''' if self._hand_type == 20 else '''and'''
  				return name + F', {paira}s {join} {paira}s'
  			elif self._hand_type == 23:
  				return name
  			else:
  				return name + F', {high}'
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		List[str]						,  _A	:		Optional[int]    )						->				str:
  
  			for index, card_value in enumerate(self._card_values    ):
  				if card_value != other._card_values[index]:
  					return "Win" if card_value > other._card_values[index] else "Loss"
  			return "Tie"
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		List[Any]    )						->				int:
  
  			if self._is_flush():
  				if self._is_five_high_straight() or self._is_straight():
  					return 23 if sum(self._card_values    ) == 60 else 22
  				return 19
  			elif self._is_five_high_straight() or self._is_straight():
  				return 18
  			return 14 + self._is_same_kind()
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		List[Any]    )						->				bool:
  			return len(self._card_suit    ) == 1
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		str    )						->				bool:
  
  			if sorted(self._card_values    ) == [2, 3, 4, 5, 14]:
  				if self._card_values[0] == 14:
  					# Remember, our list is sorted in reverse order
  					__magic_name__ :					Tuple  			=  self._card_values.pop(0    )
  					self._card_values.append(lowercase_    )
  				return True
  			return False
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		List[Any]    )						->				bool:
  
  			for i in range(4    ):
  				if self._card_values[i] - self._card_values[i + 1] != 1:
  					return False
  			return True
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		int    )						->				int:
  			__magic_name__ :					Optional[Any]  			=  0
  			for i in range(4    ):
  				# Compare two cards at a time, if they are same increase 'kind',
  				# add the value of the card to val1, if it is repeating again we
  				# will add 2 to 'kind' as there are now 3 cards with same value.
  				# If we get card of different value than val1, we will do the same
  				# thing with val2
  				if self._card_values[i] == self._card_values[i + 1]:
  					if not vala:
  						__magic_name__ :					List[Any]  			=  self._card_values[i]
  						kind += 1
  					elif vala == self._card_values[i]:
  						kind += 2
  					elif not vala:
  						__magic_name__ :					str  			=  self._card_values[i]
  						kind += 1
  					elif vala == self._card_values[i]:
  						kind += 2
          # For consistency in hand type (look at note in _get_hand_type function)
  			__magic_name__ :					Optional[int]  			=  kind + 2 if kind in [4, 5] else kind
  			# first meaning first pair to compare in 'compare_with'
  			__magic_name__ :					Optional[Any]  			=  max(lowercase_						,  lowercase_    )
  			__magic_name__ :					Tuple  			=  min(lowercase_						,  lowercase_    )
  			# If it's full house (three count pair + two count pair), make sure
  			# first pair is three count and if not then switch them both.
  			if kind == 6 and self._card_values.count(lowercase_    ) != 3:
  				__magic_name__ :					List[str]  			=  second, first
  			__magic_name__ :					Tuple  			=  first
  			__magic_name__ :					Optional[int]  			=  second
  			return kind
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Optional[int]    )						->				tuple[list[int], set[str]]:
  			__magic_name__ :					dict  			=  {"T": "10", "J": "11", "Q": "12", "K": "13", "A": "14"}
  			__magic_name__ :					Optional[int]  			=  self._hand.translate(str.maketrans(lowercase_    )    ).split()
  			__magic_name__ :					Union[str, Any]  			=  [int(card[:-1]    ) for card in new_hand]
  			__magic_name__ :					List[str]  			=  {card[-1] for card in new_hand}
  			return sorted(lowercase_						,  reverse=lowercase_    ), card_suit
  
  
  
  
  
  
  
  		def __repr__(      self	:		Union[str, Any]    )						->				List[str]:
  			return F'{self.__class__}("{self._hand}")'
  
  
  
  
  
  
  
  		def __str__(      self	:		int    )						->				List[str]:
  			return self._hand
  
  
  
  
  
  
  
  		def __eq__(      self	:		List[Any]						,  _A	:		Any    )						->				str:
  
  			if isinstance(lowercase_						,  lowercase_    ):
  				return self.compare_with(lowercase_    ) == "Tie"
  			return NotImplemented
  
  
  
  
  
  
  
  		def __lt__(      self	:		int						,  _A	:		Union[str, Any]    )						->				Union[str, Any]:
  
  			if isinstance(lowercase_						,  lowercase_    ):
  				return self.compare_with(lowercase_    ) == "Loss"
  			return NotImplemented
  
  
  
  
  
  
  
  		def __le__(      self	:		Any						,  _A	:		Union[str, Any]    )						->				Tuple:
  
  			if isinstance(lowercase_						,  lowercase_    ):
  				return self < other or self == other
  			return NotImplemented
  
  
  
  
  
  
  
  		def __gt__(      self	:		str						,  _A	:		List[str]    )						->				Optional[Any]:
  
  			if isinstance(lowercase_						,  lowercase_    ):
  				return not self < other and self != other
  			return NotImplemented
  
  
  
  
  
  
  
  		def __ge__(      self	:		Optional[int]						,  _A	:		List[Any]    )						->				Dict:
  
  			if isinstance(lowercase_						,  lowercase_    ):
  				return not self < other
  			return NotImplemented
  
  
  
  
  
  
  
  		def __hash__(      self	:		Optional[Any]    )						->				Optional[int]:
  			return object.__hash__(self    )
  
  
  
  
  
  
  
  def lowerCamelCase    (    ):
  
  
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  
  	__magic_name__ :					Union[str, Any]  			=  0
  	__magic_name__ :					Optional[int]  			=  os.path.abspath(os.path.dirname(lowercase_	)	)
  	__magic_name__ :					List[str]  			=  os.path.join(lowercase_	,	'poker_hands.txt'	)
  	with open(lowercase_	) as file_hand:
  		for line in file_hand:
  			__magic_name__ :					Dict  			=  line[:14].strip()
  			__magic_name__ :					List[str]  			=  line[15:].strip()
  			__magic_name__ :					Union[str, Any]  			=  PokerHand(lowercase_	), PokerHand(lowercase_	)
  			__magic_name__ :					Optional[int]  			=  player.compare_with(lowercase_	)
  			if output == "Win":
  				answer += 1
  	return answer
  
  
  if __name__ == "__main__":
  							solution()
style_context: 
  
  
  '''simple docstring'''
  
  import math
  
  
  
  
  
  def lowerCamelCase    (    lowerCAmelCase       :			int	):
  
  
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  
  	if not isinstance(lowerCAmelCase	,	lowerCAmelCase	):
  		__magic_name__ :					str  			=  f'Input value of [number={number}] must be an integer'
  		raise TypeError(lowerCAmelCase	)
  	if number < 1:
  		__magic_name__ :					Tuple  			=  f'Input value of [number={number}] must be a positive integer'
  		raise ValueError(lowerCAmelCase	)
  	__magic_name__ :					Tuple  			=  [number]
  	while number != 1:
  		if number % 2 == 0:
  			__magic_name__ :					Optional[int]  			=  math.floor(math.sqrt(lowerCAmelCase	)	)
  		else:
  			__magic_name__ :					Union[str, Any]  			=  math.floor(
  			    math.sqrt(lowerCAmelCase	) * math.sqrt(lowerCAmelCase	) * math.sqrt(lowerCAmelCase	)	)
  		sequence.append(lowerCAmelCase	)
  	return sequence
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()