


def 	_UpperCamelCase					(    lowerCAmelCase_ = 1_0	,    lowerCAmelCase_ = 1_0_0_0	,    lowerCAmelCase_ = True )    ->int:
   assert (
       isinstance(lowerCAmelCase_	,    lowerCAmelCase_ )
       and isinstance(lowerCAmelCase_	,    lowerCAmelCase_ )
       and isinstance(lowerCAmelCase_	,    lowerCAmelCase_ )
   ), "Invalid type of value(s) specified to function!"

   if min_val > max_val:
      raise ValueError("""Invalid value for min_val or max_val (min_value < max_value)""" )
   return min_val if option else max_val
def 	_UpperCamelCase					(    lowerCAmelCase_	,    lowerCAmelCase_ )    ->int:
   return int((number_a + number_a) / 2 )
def 	_UpperCamelCase					(    lowerCAmelCase_	,    lowerCAmelCase_	,    lowerCAmelCase_ )    ->None:
   assert (
       isinstance(lowerCAmelCase_	,    lowerCAmelCase_ ) and isinstance(lowerCAmelCase_	,    lowerCAmelCase_ ) and isinstance(lowerCAmelCase_	,    lowerCAmelCase_ )
   ), 'argument values must be type of "int"'

   if lower > higher:
      raise ValueError("""argument value for lower and higher must be(lower > higher)""" )

   if not lower < to_guess < higher:
      raise ValueError(
          """guess value must be within the range of lower and higher value""" )

   def answer(lowerCAmelCase_ ) -> str:
      if number > to_guess:
         return "high"
      elif number < to_guess:
         return "low"
      else:
         return "same"

   print("""started...""" )

   UpperCAmelCase      					=  lower
   UpperCAmelCase      					=  higher

   UpperCAmelCase      					=  []

   while True:
      UpperCAmelCase      					=  get_avg(lowerCAmelCase_	,    lowerCAmelCase_ )
      last_numbers.append(lowerCAmelCase_ )

      if answer(lowerCAmelCase_ ) == "low":
         UpperCAmelCase      					=  number
      elif answer(lowerCAmelCase_ ) == "high":
         UpperCAmelCase      					=  number
      else:
         break

   print(F"""guess the number : {last_numbers[-1]}""" )
   print(F"""details : {last_numbers!s}""" )
def 	_UpperCamelCase					(    )    ->None:
   UpperCAmelCase      					=  int(input("""Enter lower value : """ ).strip() )
   UpperCAmelCase      					=  int(input("""Enter high value : """ ).strip() )
   UpperCAmelCase      					=  int(input("""Enter value to guess : """ ).strip() )
   guess_the_number(lowerCAmelCase_	,    lowerCAmelCase_	,    lowerCAmelCase_ )


if __name__ == "__main__":
 main()







def 	_UpperCamelCase					(    lowerCAmelCase_ )    ->Any:
   UpperCAmelCase      					=  0
   UpperCAmelCase      					=  len(lowerCAmelCase_ )

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

   return num_inversions
def 	_UpperCamelCase					(    lowerCAmelCase_ )    ->Any:
   if len(lowerCAmelCase_ ) <= 1:
      return arr, 0
   UpperCAmelCase      					=  len(lowerCAmelCase_ ) // 2
   UpperCAmelCase      					=  arr[0:mid]
   UpperCAmelCase      					=  arr[mid:]

   UpperCAmelCase					,	UpperCAmelCase      					=  count_inversions_recursive(lowerCAmelCase_ )
   UpperCAmelCase					,	UpperCAmelCase      					=  count_inversions_recursive(lowerCAmelCase_ )
   UpperCAmelCase					,	UpperCAmelCase      					=  _count_cross_inversions(lowerCAmelCase_	,    lowerCAmelCase_ )

   UpperCAmelCase      					=  inversion_p + inversions_q + cross_inversions
   return c, num_inversions
def 	_UpperCamelCase					(    lowerCAmelCase_	,    lowerCAmelCase_ )    ->int:
   UpperCAmelCase      					=  []
   UpperCAmelCase      					=  UpperCAmelCase      					=  UpperCAmelCase      					=  0
   while i < len(lowerCAmelCase_ ) and j < len(lowerCAmelCase_ ):
      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(lowerCAmelCase_ ) - i
         r.append(q[j] )
         j += 1
      else:
         r.append(p[i] )
         i += 1

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

   return r, num_inversion
def 	_UpperCamelCase					(    )    ->int:
   UpperCAmelCase      					=  [1_0, 2, 1, 5, 5, 2, 1_1]

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

   UpperCAmelCase      					=  count_inversions_bf(lowerCAmelCase_ )
   UpperCAmelCase					,	UpperCAmelCase      					=  count_inversions_recursive(lowerCAmelCase_ )

   assert num_inversions_bf == num_inversions_recursive == 8

   print("""number of inversions = """	,    lowerCAmelCase_ )

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

   arr_a.sort()
   UpperCAmelCase      					=  count_inversions_bf(lowerCAmelCase_ )
   UpperCAmelCase					,	UpperCAmelCase      					=  count_inversions_recursive(lowerCAmelCase_ )

   assert num_inversions_bf == num_inversions_recursive == 0
   print("""number of inversions = """	,    lowerCAmelCase_ )

   # an empty list should also have zero inversions
   UpperCAmelCase      					=  []
   UpperCAmelCase      					=  count_inversions_bf(lowerCAmelCase_ )
   UpperCAmelCase					,	UpperCAmelCase      					=  count_inversions_recursive(lowerCAmelCase_ )

   assert num_inversions_bf == num_inversions_recursive == 0
   print("""number of inversions = """	,    lowerCAmelCase_ )


if __name__ == "__main__":
 main()



