code: 
  
  
  from __future__ import annotations
  
  import os
  
  
  class 		_SCREAMING_SNAKE_CASE    :
       __SCREAMING_SNAKE_CASE    				=						(
           '''High card''',
           '''One pair''',
           '''Two pairs''',
           '''Three of a kind''',
           '''Straight''',
           '''Flush''',
           '''Full house''',
           '''Four of a kind''',
           '''Straight flush''',
           '''Royal flush''',
       )
  
       __SCREAMING_SNAKE_CASE    				=						(
           '''''',  # placeholder as tuples are zero-indexed
           '''One''',
           '''Two''',
           '''Three''',
           '''Four''',
           '''Five''',
           '''Six''',
           '''Seven''',
           '''Eight''',
           '''Nine''',
           '''Ten''',
           '''Jack''',
           '''Queen''',
           '''King''',
           '''Ace''',
       )
  
  
       def __init__(     self       ,				A_						):
         if not isinstance(A_       ,				A_						):
           _UpperCAmelCase		:       int       =    F'''Hand should be of type \'str\': {hand!r}'''
           raise TypeError(A_						)
         # split removes duplicate whitespaces so no need of strip
         if len(hand.split(""" """						)						) != 5:
           _UpperCAmelCase		:       List[Any]       =    F'''Hand should contain only 5 cards: {hand!r}'''
           raise ValueError(A_						)
         _UpperCAmelCase		:       Optional[int]       =    hand
         _UpperCAmelCase		:       Union[str, Any]       =    0
         _UpperCAmelCase		:       Any       =    0
         _UpperCAmelCase,_UpperCAmelCase		:       Tuple       =    self._internal_state()
         _UpperCAmelCase		:       str       =    self._get_hand_type()
         _UpperCAmelCase		:       Dict       =    self._card_values[0]
  
  
       @property
       def 					__snake_case(     self						):
         return self._hand
  
  
       def 					__snake_case(     self       ,				A_						):
         # Breaking the tie works on the following order of precedence:
         # 1. First pair (default 0)
         # 2. Second pair (default 0)
         # 3. Compare all cards in reverse order because they are sorted.
  
         # First pair and second pair will only be a non-zero value if the card
         # type is either from the following:
         # 21: Four of a kind
         # 20: Full house
         # 17: Three of a kind
         # 16: Two pairs
         # 15: One pair
         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(A_						)
           else:
             return "Win" if self._second_pair > other._second_pair else "Loss"
         return "Win" if self._first_pair > other._first_pair else "Loss"
  
  
       def 					__snake_case(     self						):
         _UpperCAmelCase		:       List[Any]       =    PokerHand._HAND_NAME[self._hand_type - 14]
         _UpperCAmelCase		:       str       =    PokerHand._CARD_NAME[self._high_card]
         _UpperCAmelCase		:       List[str]       =    PokerHand._CARD_NAME[self._first_pair]
         _UpperCAmelCase		:       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]:
           _UpperCAmelCase		:       int       =    """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 					__snake_case(     self       ,				A_						):
         # Enumerate gives us the index as well as the element of a list
         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 					__snake_case(     self						):
         # Number representing the type of hand internally:
         # 23: Royal flush
         # 22: Straight flush
         # 21: Four of a kind
         # 20: Full house
         # 19: Flush
         # 18: Straight
         # 17: Three of a kind
         # 16: Two pairs
         # 15: One pair
         # 14: High card
         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 					__snake_case(     self						):
         return len(self._card_suit						) == 1
  
  
       def 					__snake_case(     self						):
         # If a card is a five high straight (low ace) change the location of
         # ace from the start of the list to the end. Check whether the first
         # element is ace or not. (Don't want to change again)
         # Five high straight (low ace): AH 2H 3S 4C 5D
         # Why use sorted here? One call to this function will mutate the list to
         # [5, 4, 3, 2, 14] and so for subsequent calls (which will be rare) we
         # need to compare the sorted version.
         # Refer test_multiple_calls_five_high_straight in test_poker_hand.py
         if sorted(self._card_values						) == [2, 3, 4, 5, 14]:
           if self._card_values[0] == 14:
             # Remember, our list is sorted in reverse order
             _UpperCAmelCase		:       Dict       =    self._card_values.pop(0						)
             self._card_values.append(A_						)
           return True
         return False
  
  
       def 					__snake_case(     self						):
         for i in range(4						):
           if self._card_values[i] - self._card_values[i + 1] != 1:
             return False
         return True
  
  
       def 					__snake_case(     self						):
         # Kind Values for internal use:
         # 7: Four of a kind
         # 6: Full house
         # 3: Three of a kind
         # 2: Two pairs
         # 1: One pair
         # 0: False
         _UpperCAmelCase		:       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:
               _UpperCAmelCase		:       Optional[Any]       =    self._card_values[i]
               kind += 1
             elif vala == self._card_values[i]:
               kind += 2
             elif not vala:
               _UpperCAmelCase		:       Any       =    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)
         _UpperCAmelCase		:       List[Any]       =    kind + 2 if kind in [4, 5] else kind
         # first meaning first pair to compare in 'compare_with'
         _UpperCAmelCase		:       Optional[int]       =    max(A_       ,				A_						)
         _UpperCAmelCase		:       List[str]       =    min(A_       ,				A_						)
         # 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(A_						) != 3:
           _UpperCAmelCase,_UpperCAmelCase		:       List[str]       =    second, first
         _UpperCAmelCase		:       Optional[int]       =    first
         _UpperCAmelCase		:       str       =    second
         return kind
  
  
       def 					__snake_case(     self						):
         # Internal representation of hand as a list of card values and
         # a set of card suit
         _UpperCAmelCase		:       dict       =    {"T": "10", "J": "11", "Q": "12", "K": "13", "A": "14"}
         _UpperCAmelCase		:       str       =    self._hand.translate(str.maketrans(A_						)						).split()
         _UpperCAmelCase		:       Tuple       =    [int(card[:-1]						) for card in new_hand]
         _UpperCAmelCase		:       str       =    {card[-1] for card in new_hand}
         return sorted(A_       ,				reverse=A_						), card_suit
  
  
       def __repr__(     self						):
         return F'''{self.__class__}("{self._hand}")'''
  
  
       def __str__(     self						):
         return self._hand
  
  
       def __eq__(     self       ,				A_						):
         if isinstance(A_       ,				A_						):
           return self.compare_with(A_						) == "Tie"
         return NotImplemented
  
  
       def __lt__(     self       ,				A_						):
         if isinstance(A_       ,				A_						):
           return self.compare_with(A_						) == "Loss"
         return NotImplemented
  
  
       def __le__(     self       ,				A_						):
         if isinstance(A_       ,				A_						):
           return self < other or self == other
         return NotImplemented
  
  
       def __gt__(     self       ,				A_						):
         if isinstance(A_       ,				A_						):
           return not self < other and self != other
         return NotImplemented
  
  
       def __ge__(     self       ,				A_						):
         if isinstance(A_       ,				A_						):
           return not self < other
         return NotImplemented
  
  
  
  
       def __hash__(     self						):
         return object.__hash__(self						)
  
  
  
  
  def       a__						(		):
    # Solution for problem number 54 from Project Euler
    # Input from poker_hands.txt file
    _UpperCAmelCase		:       Optional[int]       =    0
    _UpperCAmelCase		:       Optional[int]       =    os.path.abspath(os.path.dirname(snake_case__    )    )
    _UpperCAmelCase		:       List[Any]       =    os.path.join(snake_case__	,      """poker_hands.txt"""    )
    with open(snake_case__    ) as file_hand:
      for line in file_hand:
        _UpperCAmelCase		:       List[Any]       =    line[:14].strip()
        _UpperCAmelCase		:       Optional[Any]       =    line[15:].strip()
        _UpperCAmelCase,_UpperCAmelCase		:       Any       =    PokerHand(snake_case__    ), PokerHand(snake_case__    )
        _UpperCAmelCase		:       Optional[Any]       =    player.compare_with(snake_case__    )
        if output == "Win":
          answer += 1
    return answer
  
  
  if __name__ == "__main__":
   solution()
  
  
  
  
  
  
style_context: 
  
  
  from itertools import count
  from math import asin, pi, sqrt
  
  
  
  
  def       a__						(		snake_case__				:       float    ):
    return (
        (1 - 2 * point) * sqrt(point - point**2    ) + 2 * point + asin(sqrt(1 - point    )    )
    ) / 4
  
  
  
  
  def       a__						(		snake_case__				:       int    ):
    _UpperCAmelCase		:       int       =    (circles_number + 1 - sqrt(2 * circles_number    )) / (
        2 * (circles_number**2 + 1)
    )
    _UpperCAmelCase		:       Union[str, Any]       =    circles_number * intersection_y
  
    _UpperCAmelCase		:       Tuple       =    intersection_x * intersection_y / 2
    _UpperCAmelCase		:       str       =    circle_bottom_arc_integral(
        1 / 2    ) - circle_bottom_arc_integral(snake_case__    )
  
    return triangle_area + concave_region_area
  
  
  
  
  def       a__						(		snake_case__				:       float = 1 / 1000    ):
    _UpperCAmelCase		:       Dict       =    (1 - pi / 4) / 4
  
    for n in count(1    ):
      if concave_triangle_area(snake_case__    ) / l_section_area < fraction:
        return n
  
    return -1
  
  
  if __name__ == "__main__":
   print(F'{solution() = }')
  
  
  
  
  
  