






"""simple docstring"""







def _a			(		_snake_case							):







      """simple docstring"""






      UpperCAmelCase          =	0
      UpperCAmelCase          =	len(_snake_case							)

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

      return num_inversions

def _a			(		_snake_case							):







      """simple docstring"""






      if len(_snake_case							) <= 1:
            return arr, 0
      UpperCAmelCase          =	len(_snake_case							) // 2
      UpperCAmelCase          =	arr[0:mid]
      UpperCAmelCase          =	arr[mid:]

      UpperCAmelCase      , UpperCAmelCase          =	count_inversions_recursive(_snake_case							)
      UpperCAmelCase      , UpperCAmelCase          =	count_inversions_recursive(_snake_case							)
      UpperCAmelCase      , UpperCAmelCase          =	_count_cross_inversions(_snake_case				,	_snake_case							)

      UpperCAmelCase          =	inversion_p + inversions_q + cross_inversions
      return c, num_inversions

def _a			(		_snake_case				,	_snake_case							):







      """simple docstring"""






      UpperCAmelCase          =	[]
      UpperCAmelCase          =	UpperCAmelCase          =	UpperCAmelCase          =	0
      while i < len(_snake_case							) and j < len(_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(_snake_case							) - i
                  r.append(q[j]							)
                  j += 1
            else:
                  r.append(p[i]							)
                  i += 1

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

      return r, num_inversion

def _a			(		):







      """simple docstring"""






      UpperCAmelCase          =	[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)

      UpperCAmelCase          =	count_inversions_bf(_snake_case							)
      UpperCAmelCase      , UpperCAmelCase          =	count_inversions_recursive(_snake_case							)

      assert num_inversions_bf == num_inversions_recursive == 8

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

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

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

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

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

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


if __name__ == "__main__":
  main()











"""simple docstring"""







from __future__ import annotations

def _a			(		_snake_case				,	_snake_case				,	_snake_case							):







      """simple docstring"""






      if (voltage, current, resistance).count(0							) != 1:
            raise ValueError("""One and only one argument must be 0"""							)
      if resistance < 0:
            raise ValueError("""Resistance cannot be negative"""							)
      if voltage == 0:
            return {"voltage": float(current * resistance							)}
      elif current == 0:
            return {"current": voltage / resistance}
      elif resistance == 0:
            return {"resistance": voltage / current}
      else:
            raise ValueError("""Exactly one argument must be 0"""							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()



