


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()









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() = }')





