






'''simple docstring'''



from __future__ import annotations

import time
from collections.abc import Sequence
from random import randint

from matplotlib import pyplot as plt


def 				lowercase_					(     __A			:							Sequence[float]       ,   __A			:							int       ,   __A			:							int      )							->   tuple[int | None, int | None, float]:



 """simple docstring"""




 if not arr:
  return None, None, 0
 if low == high:
  return low, high, arr[low]

 lowercase       : Dict						=(low + high) // 2
 lowercase	,		lowercase	,		lowercase       : List[Any]						=max_subarray(__A       ,   __A       ,   __A      )
 lowercase	,		lowercase	,		lowercase       : int						=max_subarray(__A       ,   mid + 1       ,   __A      )
 lowercase	,		lowercase	,		lowercase       : List[Any]						=max_cross_sum(__A       ,   __A       ,   __A       ,   __A      )
 if left_sum >= right_sum and left_sum >= cross_sum:
  return left_low, left_high, left_sum
 elif right_sum >= left_sum and right_sum >= cross_sum:
  return right_low, right_high, right_sum
 return cross_left, cross_right, cross_sum


def 				lowercase_					(     __A			:							Sequence[float]       ,   __A			:							int       ,   __A			:							int       ,   __A			:							int      )							->   tuple[int, int, float]:



 """simple docstring"""




 lowercase	,		lowercase       : Any						=float('''-inf'''      ), -1
 lowercase	,		lowercase       : int						=float('''-inf'''      ), -1

 lowercase       : int | float						=0
 for i in range(__A       ,   low - 1       ,   -1      ):
  summ += arr[i]
  if summ > left_sum:
   lowercase       : str						=summ
   lowercase       : Tuple						=i

 lowercase       : Optional[Any]						=0
 for i in range(mid + 1       ,   high + 1      ):
  summ += arr[i]
  if summ > right_sum:
   lowercase       : List[str]						=summ
   lowercase       : Tuple						=i

 return max_left, max_right, (left_sum + right_sum)


def 				lowercase_					(     __A			:							int      )							->   float:



 """simple docstring"""




 lowercase       : List[str]						=[randint(1       ,   __A      ) for _ in range(__A      )]
 lowercase       : str						=time.time()
 max_subarray(__A       ,   0       ,   input_size - 1      )
 lowercase       : List[str]						=time.time()
 return end - start


def 				lowercase_					(     )							->   None:



 """simple docstring"""




 lowercase       : Union[str, Any]						=[1_0, 1_0_0, 1_0_0_0, 1_0_0_0_0, 5_0_0_0_0, 1_0_0_0_0_0, 2_0_0_0_0_0, 3_0_0_0_0_0, 4_0_0_0_0_0, 5_0_0_0_0_0]
 lowercase       : Dict						=[time_max_subarray(__A      ) for input_size in input_sizes]
 print('''No of Inputs\t\tTime Taken'''      )
 for input_size, runtime in zip(__A       ,   __A      ):
  print(__A       ,   '''\t\t'''       ,   __A      )
 plt.plot(__A       ,   __A      )
 plt.xlabel('''Number of Inputs'''      )
 plt.ylabel('''Time taken in seconds'''      )
 plt.show()


if __name__ == "__main__":
      from doctest import testmod

      testmod()











'''simple docstring'''



SCREAMING_SNAKE_CASE							=						frozenset(
    [
        'prompt',
        'height',
        'width',
        'guidance_scale',
        'negative_prompt',
        'prompt_embeds',
        'negative_prompt_embeds',
        'cross_attention_kwargs',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['prompt', 'negative_prompt'])

SCREAMING_SNAKE_CASE							=						frozenset([])

SCREAMING_SNAKE_CASE							=						frozenset(['image'])

SCREAMING_SNAKE_CASE							=						frozenset(
    [
        'image',
        'height',
        'width',
        'guidance_scale',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['image'])

SCREAMING_SNAKE_CASE							=						frozenset(
    [
        'prompt',
        'image',
        'height',
        'width',
        'guidance_scale',
        'negative_prompt',
        'prompt_embeds',
        'negative_prompt_embeds',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['prompt', 'image', 'negative_prompt'])

SCREAMING_SNAKE_CASE							=						frozenset(
    [
        # Text guided image variation with an image mask
        'prompt',
        'image',
        'mask_image',
        'height',
        'width',
        'guidance_scale',
        'negative_prompt',
        'prompt_embeds',
        'negative_prompt_embeds',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['prompt', 'image', 'mask_image', 'negative_prompt'])

SCREAMING_SNAKE_CASE							=						frozenset(
    [
        # image variation with an image mask
        'image',
        'mask_image',
        'height',
        'width',
        'guidance_scale',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['image', 'mask_image'])

SCREAMING_SNAKE_CASE							=						frozenset(
    [
        'example_image',
        'image',
        'mask_image',
        'height',
        'width',
        'guidance_scale',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['example_image', 'image', 'mask_image'])

SCREAMING_SNAKE_CASE							=						frozenset(['class_labels'])

SCREAMING_SNAKE_CASE							=						frozenset(['class_labels'])

SCREAMING_SNAKE_CASE							=						frozenset(['batch_size'])

SCREAMING_SNAKE_CASE							=						frozenset([])

SCREAMING_SNAKE_CASE							=						frozenset(['batch_size'])

SCREAMING_SNAKE_CASE							=						frozenset([])

SCREAMING_SNAKE_CASE							=						frozenset(
    [
        'prompt',
        'audio_length_in_s',
        'guidance_scale',
        'negative_prompt',
        'prompt_embeds',
        'negative_prompt_embeds',
        'cross_attention_kwargs',
    ]
)

SCREAMING_SNAKE_CASE							=						frozenset(['prompt', 'negative_prompt'])
SCREAMING_SNAKE_CASE							=						frozenset(['input_tokens'])

SCREAMING_SNAKE_CASE							=						frozenset(['input_tokens'])



