

def      snake_case__      (   SCREAMING_SNAKE_CASE_		:   List[str]      ):



					'''simple docstring'''





					lowercase__   :       Any				=	0
					lowercase__   :       List[Any]				=	len(SCREAMING_SNAKE_CASE_      )

					for i in range(n - 1      ):
										for j in range(i + 1     ,					SCREAMING_SNAKE_CASE_      ):
															if arr[i] > arr[j]:
																				num_inversions += 1

					return num_inversions

def      snake_case__      (   SCREAMING_SNAKE_CASE_		:   Optional[int]      ):



					'''simple docstring'''





					if len(SCREAMING_SNAKE_CASE_      ) <= 1:
										return arr, 0
					lowercase__   :       Optional[Any]				=	len(SCREAMING_SNAKE_CASE_      ) // 2
					lowercase__   :       List[Any]				=	arr[0:mid]
					lowercase__   :       str				=	arr[mid:]

					lowercase__   :       Any				=	count_inversions_recursive(SCREAMING_SNAKE_CASE_      )
					lowercase__   :       List[Any]				=	count_inversions_recursive(SCREAMING_SNAKE_CASE_      )
					lowercase__   :       str				=	_count_cross_inversions(SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_      )

					lowercase__   :       List[Any]				=	inversion_p + inversions_q + cross_inversions
					return c, num_inversions

def      snake_case__      (   SCREAMING_SNAKE_CASE_		:   int     ,					SCREAMING_SNAKE_CASE_		:   str      ):



					'''simple docstring'''





					lowercase__   :       Optional[int]				=	[]
					lowercase__   :       Optional[Any]				=	0
					while i < len(SCREAMING_SNAKE_CASE_      ) and j < len(SCREAMING_SNAKE_CASE_      ):
										if p[i] > q[j]:
															# if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
															# These are all inversions. The claim emerges from the
															# property that P is sorted.
															num_inversion += len(SCREAMING_SNAKE_CASE_      ) - i
															r.append(q[j]      )
															j += 1
										else:
															r.append(p[i]      )
															i += 1

					if i < len(SCREAMING_SNAKE_CASE_      ):
										r.extend(p[i:]      )
					else:
										r.extend(q[j:]      )

					return r, num_inversion

def      snake_case__      (   ):



					'''simple docstring'''





					lowercase__   :       int				=	[10, 2, 1, 5, 5, 2, 11]

					# this arr has 8 inversions:
					# (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

					lowercase__   :       Any				=	count_inversions_bf(SCREAMING_SNAKE_CASE_      )
					lowercase__   :       Optional[int]				=	count_inversions_recursive(SCREAMING_SNAKE_CASE_      )

					assert num_inversions_bf == num_inversions_recursive == 8

					print('number of inversions = '     ,					SCREAMING_SNAKE_CASE_      )

					# testing an array with zero inversion (a sorted arr_1)

					arr_a.sort()
					lowercase__   :       Optional[int]				=	count_inversions_bf(SCREAMING_SNAKE_CASE_      )
					lowercase__   :       Any				=	count_inversions_recursive(SCREAMING_SNAKE_CASE_      )

					assert num_inversions_bf == num_inversions_recursive == 0
					print('number of inversions = '     ,					SCREAMING_SNAKE_CASE_      )

					# an empty list should also have zero inversions
					lowercase__   :       Dict				=	[]
					lowercase__   :       str				=	count_inversions_bf(SCREAMING_SNAKE_CASE_      )
					lowercase__   :       Union[str, Any]				=	count_inversions_recursive(SCREAMING_SNAKE_CASE_      )

					assert num_inversions_bf == num_inversions_recursive == 0
					print('number of inversions = '     ,					SCREAMING_SNAKE_CASE_      )


if __name__ == "__main__":
							main()




from __future__ import annotations


class 				SCREAMING_SNAKE_CASE__ :





    def __init__(				self						,       a						,       a):
         lowercase__				,			lowercase__   :       Dict				=	text, pattern
         lowercase__				,			lowercase__   :       Any				=	len(a), len(a)





    def 				snake_case_    (				self						,       a):

         for i in range(self.patLen - 1						,       -1						,       -1):
              if char == self.pattern[i]:
                   return i
         return -1





    def 				snake_case_    (				self						,       a):

         for i in range(self.patLen - 1						,       -1						,       -1):
              if self.pattern[i] != self.text[current_pos + i]:
                   return current_pos + i
         return -1





    def 				snake_case_    (				self):
         # searches pattern in text and returns index positions
         lowercase__   :       Any				=	[]
         for i in range(self.textLen - self.patLen + 1):
              lowercase__   :       Optional[Any]				=	self.mismatch_in_text(a)
              if mismatch_index == -1:
                   positions.append(a)
              else:
                   lowercase__   :       Optional[int]				=	self.match_in_pattern(self.text[mismatch_index])
                   lowercase__   :       Optional[Any]				=	(
                       mismatch_index - match_index
                   )  # shifting index lgtm [py/multiple-definition]
         return positions



snake_case_        =			'''ABAABA'''
snake_case_        =			'''AB'''
snake_case_        =			BoyerMooreSearch(text, pattern)
snake_case_        =			bms.bad_character_heuristic()

if len(positions) == 0:
       print('''No match found''')
else:
       print('''Pattern found in following positions: ''')
       print(positions)

