'''simple docstring'''




def __lowerCAmelCase					(				UpperCamelCase__							)      ->       List[str]:
    __lowerCamelCase            =    0
    __lowerCamelCase            =    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 __lowerCAmelCase					(				UpperCamelCase__							)      ->       Optional[Any]:
    if len(__lowerCAmelCase							) <= 1:
        return arr, 0
    __lowerCamelCase            =    len(__lowerCAmelCase							) // 2
    __lowerCamelCase            =    arr[0:mid]
    __lowerCamelCase            =    arr[mid:]

    __lowerCamelCase            =    count_inversions_recursive(__lowerCAmelCase							)
    __lowerCamelCase            =    count_inversions_recursive(__lowerCAmelCase							)
    __lowerCamelCase            =    _count_cross_inversions(__lowerCAmelCase							,    __lowerCAmelCase							)

    __lowerCamelCase            =    inversion_p + inversions_q + cross_inversions
    return c, num_inversions






def __lowerCAmelCase					(				UpperCamelCase__							,    UpperCamelCase__							)      ->       Optional[Any]:
    __lowerCamelCase            =    []
    __lowerCamelCase            =    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 __lowerCAmelCase					(				)      ->       List[Any]:
    __lowerCamelCase            =    [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)

    __lowerCamelCase            =    count_inversions_bf(__lowerCAmelCase							)
    __lowerCamelCase            =    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()
    __lowerCamelCase            =    count_inversions_bf(__lowerCAmelCase							)
    __lowerCamelCase            =    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
    __lowerCamelCase            =    []
    __lowerCamelCase            =    count_inversions_bf(__lowerCAmelCase							)
    __lowerCamelCase            =    count_inversions_recursive(__lowerCAmelCase							)

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


if __name__ == "__main__":
  main()








import os

import pytest

from transformers.dynamic_module_utils import get_imports


UpperCamelCase    							=      '\nimport os\n'

UpperCamelCase    							=      '\ndef foo():\n    import os\n    return False\n'

UpperCamelCase    							=      '\ndef foo():\n    def bar():\n        if True:\n            import os\n        return False\n    return bar()\n'

UpperCamelCase    							=      '\nimport os\n\ntry:\n    import bar\nexcept ImportError:\n    raise ValueError()\n'

UpperCamelCase    							=      '\nimport os\n\ndef foo():\n    try:\n        import bar\n    except ImportError:\n        raise ValueError()\n'

UpperCamelCase    							=      '\nimport os\n\ntry:\n    import bar\nexcept (ImportError, AttributeError):\n    raise ValueError()\n'

UpperCamelCase    							=      '\nimport os\n\ntry:\n    import bar\nexcept ImportError as e:\n    raise ValueError()\n'

UpperCamelCase    							=      '\nimport os\n\ntry:\n    import bar\nexcept:\n    raise ValueError()\n'

UpperCamelCase    							=      '\nimport os\n\ntry:\n    import bar\n    import baz\nexcept ImportError:\n    raise ValueError()\n'

UpperCamelCase    							=      '\nimport os\n\ntry:\n    import bar\n    import baz\nexcept ImportError:\n    x = 1\n    raise ValueError()\n'

UpperCamelCase    							=      [
    TOP_LEVEL_IMPORT,
    IMPORT_IN_FUNCTION,
    DEEPLY_NESTED_IMPORT,
    TOP_LEVEL_TRY_IMPORT,
    GENERIC_EXCEPT_IMPORT,
    MULTILINE_TRY_IMPORT,
    MULTILINE_BOTH_IMPORT,
    MULTIPLE_EXCEPTS_IMPORT,
    EXCEPT_AS_IMPORT,
    TRY_IMPORT_IN_FUNCTION,
]


@pytest.mark.parametrize("""case"""					,							__lowerCAmelCase							)
def 				__lowerCamelCase     (							__lowerCAmelCase							:					List[Any]					,							__lowerCAmelCase							:					Optional[Any]							)     ->  str:
   __UpperCamelCase	:			str					=					os.path.join(__lowerCAmelCase					,							"""test_file.py"""							)
   with open(__lowerCAmelCase					,							"""w"""							) as _tmp_file:
      _tmp_file.write(__lowerCAmelCase							)

   __UpperCamelCase	:			Optional[int]					=					get_imports(__lowerCAmelCase							)
   assert parsed_imports == ["os"]



