




"""simple docstring"""






import math







def   _snake_case    (       lowercase__	):

    if not isinstance(lowercase__							,					lowercase__	):
        _lowerCamelCase  :    Tuple					=					f'''Input value of [number={number}] must be an integer'''
        raise TypeError(lowercase__	)

    if number < 1:
        _lowerCamelCase  :    Tuple					=					f'''Input value of [number={number}] must be > 0'''
        raise ValueError(lowercase__	)
    elif number == 1:
        return 3
    elif number == 2:
        return 5
    else:
        _lowerCamelCase  :    Any					=					int(math.log(number // 3							,					2	)	) + 2

        _lowerCamelCase  :    Dict					=					[3, 5]
        _lowerCamelCase  :    List[str]					=					2
        _lowerCamelCase  :    int					=					3
        for block in range(1							,					lowercase__	):
            for _ in range(lowercase__	):
                proth_list.append(2 ** (block + 1) + proth_list[proth_index - 1]	)
                proth_index += 1
            increment *= 2

    return proth_list[number - 1]


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   for number in range(11):
      lowercase__  		=		0
      try:
         lowercase__  		=		proth(number)
      except ValueError:
         print(F"ValueError: there is no {number}th Proth number")
         continue

      print(F"The {number}th Proth number: {value}")





"""simple docstring"""






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

import numpy as np
import torch

from ...utils import BaseOutput, OptionalDependencyNotAvailable, is_torch_available, is_transformers_available






@dataclass
class lowerCAmelCase__			(  lowercase		):






			'''simple docstring'''



			lowerCamelCase__   =    42


try:
			if not (is_transformers_available() and is_torch_available()):
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			from ...utils.dummy_torch_and_transformers_objects import *  # noqa F403
else:
			from .pipeline_text_to_video_synth import TextToVideoSDPipeline
			from .pipeline_text_to_video_synth_imgaimg import VideoToVideoSDPipeline  # noqa: F401
			from .pipeline_text_to_video_zero import TextToVideoZeroPipeline