
'''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()







from typing import Union

import fire
import torch
from tqdm import tqdm
def 						_snake_case(    SCREAMING_SNAKE_CASE__			:	str    ,			SCREAMING_SNAKE_CASE__			:	str = "cpu"    ,			SCREAMING_SNAKE_CASE__			:	Union[str, None] = None      )							->      None:





    '''simple docstring'''






    A__          =   torch.load(SCREAMING_SNAKE_CASE__    ,			map_location=SCREAMING_SNAKE_CASE__      )
    for k, v in tqdm(state_dict.items()      ):
        if not isinstance(SCREAMING_SNAKE_CASE__    ,			torch.Tensor      ):
            raise TypeError('FP16 conversion only works on paths that are saved state dicts, like pytorch_model.bin'      )
        A__          =   v.half()
    if save_path is None:  # overwrite src_path
        A__          =   src_path
    torch.save(SCREAMING_SNAKE_CASE__    ,			SCREAMING_SNAKE_CASE__      )


if __name__ == "__main__":
     fire.Fire(convert)

