
'''simple docstring'''




def 		lowerCAmelCase_				(   snake_case__						):




    '''simple docstring'''



    A       :   List[Any]					=						0
    A       :   Any					=						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 		lowerCAmelCase_				(   snake_case__						):




    '''simple docstring'''



    if len(snake_case__						) <= 1:
        return arr, 0
    A       :   Any					=						len(snake_case__						) // 2
    A       :   List[Any]					=						arr[0:mid]
    A       :   Union[str, Any]					=						arr[mid:]

    A,  A       :   List[str]					=						count_inversions_recursive(snake_case__						)
    A,  A       :   Dict					=						count_inversions_recursive(snake_case__						)
    A,  A       :   Dict					=						_count_cross_inversions(snake_case__		,				snake_case__						)

    A       :   Optional[int]					=						inversion_p + inversions_q + cross_inversions
    return c, num_inversions







def 		lowerCAmelCase_				(   snake_case__		,				snake_case__						):




    '''simple docstring'''



    A       :   Tuple					=						[]
    A       :   Optional[Any]					=						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 		lowerCAmelCase_				(   ):




    '''simple docstring'''



    A       :   Tuple					=						[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)

    A       :   List[Any]					=						count_inversions_bf(snake_case__						)
    A,  A       :   int					=						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()
    A       :   Tuple					=						count_inversions_bf(snake_case__						)
    A,  A       :   Optional[int]					=						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
    A       :   int					=						[]
    A       :   List[Any]					=						count_inversions_bf(snake_case__						)
    A,  A       :   Optional[int]					=						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'''




import requests
from bsa import BeautifulSoup







def 		lowerCAmelCase_				(   snake_case__		,				snake_case__						):




    '''simple docstring'''



    A       :   str					=						BeautifulSoup(requests.get(snake_case__		,				params=snake_case__						).content		,				'''html.parser'''						)
    A       :   Dict					=						soup.find('''div'''		,				attrs={'''class''': '''gs_ri'''}						)
    A       :   Optional[int]					=						div.find('''div'''		,				attrs={'''class''': '''gs_fl'''}						).find_all('''a'''						)
    return anchors[2].get_text()


if __name__ == "__main__":
      lowercase			:				str    		=			{
          'title': (
              'Precisely geometry controlled microsupercapacitors for ultrahigh areal '
              'capacitance, volumetric capacitance, and energy density'
          ),
          'journal': 'Chem. Mater.',
          'volume': 30,
          'pages': '3979-3990',
          'year': 20_18,
          'hl': 'en',
      }
      print(get_citation('https://scholar.google.com/scholar_lookup', params=params))




