
"""simple docstring"""

from __future__ import annotations




def 			lowercase__  (    lowerCAmelCase :    list[int]       )       ->					list[int]:






    """simple docstring"""




    if not list_of_ints:
        return []

    if min(lowerCAmelCase       ) < 0:
        raise ValueError('All numbers must be positive'       )

    UpperCAmelCase  	=    max(len(bin(lowerCAmelCase       )[2:]       ) for x in list_of_ints       )
    return _msd_radix_sort(lowerCAmelCase       , lowerCAmelCase       )




def 			lowercase__  (    lowerCAmelCase :    list[int]       , lowerCAmelCase :    int       )       ->					list[int]:






    """simple docstring"""




    if bit_position == 0 or len(lowerCAmelCase       ) in [0, 1]:
        return list_of_ints

    UpperCAmelCase  	=    []
    UpperCAmelCase  	=    []
    # Split numbers based on bit at bit_position from the right
    for number in list_of_ints:
        if (number >> (bit_position - 1)) & 1:
            # number has a one at bit bit_position
            ones.append(lowerCAmelCase       )
        else:
            # number has a zero at bit bit_position
            zeros.append(lowerCAmelCase       )

    # recursively split both lists further
    UpperCAmelCase  	=    _msd_radix_sort(lowerCAmelCase       , bit_position - 1       )
    UpperCAmelCase  	=    _msd_radix_sort(lowerCAmelCase       , bit_position - 1       )

    # recombine lists
    UpperCAmelCase  	=    zeros
    res.extend(lowerCAmelCase       )

    return res




def 			lowercase__  (    lowerCAmelCase :    list[int]       )       ->					List[Any]:






    """simple docstring"""




    UpperCAmelCase  	=    len(lowerCAmelCase       )
    if not list_of_ints or length == 1:
        return

    if min(lowerCAmelCase       ) < 0:
        raise ValueError('All numbers must be positive'       )

    UpperCAmelCase  	=    max(len(bin(lowerCAmelCase       )[2:]       ) for x in list_of_ints       )
    _msd_radix_sort_inplace(lowerCAmelCase       , lowerCAmelCase       , 0       , lowerCAmelCase       )




def 			lowercase__  (    lowerCAmelCase :    list[int]       , lowerCAmelCase :    int       , lowerCAmelCase :    int       , lowerCAmelCase :    int       )       ->					Optional[Any]:






    """simple docstring"""




    if bit_position == 0 or end_index - begin_index <= 1:
        return

    bit_position -= 1

    UpperCAmelCase  	=    begin_index
    UpperCAmelCase  	=    end_index - 1
    while i <= j:
        UpperCAmelCase  	=    False
        if not (list_of_ints[i] >> bit_position) & 1:
            # found zero at the beginning
            i += 1
            UpperCAmelCase  	=    True
        if (list_of_ints[j] >> bit_position) & 1:
            # found one at the end
            j -= 1
            UpperCAmelCase  	=    True

        if changed:
            continue

        UpperCAmelCase	,							UpperCAmelCase  	=    list_of_ints[j], list_of_ints[i]
        j -= 1
        if j != i:
            i += 1

    _msd_radix_sort_inplace(lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       )
    _msd_radix_sort_inplace(lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       )


if __name__ == "__main__":
   import doctest

   doctest.testmod()





"""simple docstring"""

from dataclasses import dataclass
from typing import List, Optional, Union

import numpy as np
import PIL
from PIL import Image

from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
   from .image_encoder import PaintByExampleImageEncoder
   from .pipeline_paint_by_example import PaintByExamplePipeline



