



"""simple docstring"""







from __future__ import annotations

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

from matplotlib import pyplot as plt

def 				UpperCamelCase_    (    lowerCAmelCase__      :				Sequence[float]    ,   lowerCAmelCase__      :				int    ,   lowerCAmelCase__      :				int						)						->   tuple[int | None, int | None, float]:

  """simple docstring"""




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

  lowerCAmelCase_   :				Union[str, Any]								= (low + high) // 2
  lowerCAmelCase_						,lowerCAmelCase_						,lowerCAmelCase_   :				str								= max_subarray(lowerCAmelCase__    ,   lowerCAmelCase__    ,   lowerCAmelCase__						)
  lowerCAmelCase_						,lowerCAmelCase_						,lowerCAmelCase_   :				List[Any]								= max_subarray(lowerCAmelCase__    ,   mid + 1    ,   lowerCAmelCase__						)
  lowerCAmelCase_						,lowerCAmelCase_						,lowerCAmelCase_   :				Optional[int]								= max_cross_sum(lowerCAmelCase__    ,   lowerCAmelCase__    ,   lowerCAmelCase__    ,   lowerCAmelCase__						)
  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 				UpperCamelCase_    (    lowerCAmelCase__      :				Sequence[float]    ,   lowerCAmelCase__      :				int    ,   lowerCAmelCase__      :				int    ,   lowerCAmelCase__      :				int						)						->   tuple[int, int, float]:

  """simple docstring"""




  lowerCAmelCase_						,lowerCAmelCase_   :				str								= float('-inf'						), -1
  lowerCAmelCase_						,lowerCAmelCase_   :				Tuple								= float('-inf'						), -1

  lowerCAmelCase_   :				int | float								= 0
  for i in range(lowerCAmelCase__    ,   low - 1    ,   -1						):
    summ += arr[i]
    if summ > left_sum:
      lowerCAmelCase_   :				List[str]								= summ
      lowerCAmelCase_   :				Optional[Any]								= i

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

  return max_left, max_right, (left_sum + right_sum)

def 				UpperCamelCase_    (    lowerCAmelCase__      :				int						)						->   float:

  """simple docstring"""




  lowerCAmelCase_   :				Dict								= [randint(1    ,   lowerCAmelCase__						) for _ in range(lowerCAmelCase__						)]
  lowerCAmelCase_   :				Tuple								= time.time()
  max_subarray(lowerCAmelCase__    ,   0    ,   input_size - 1						)
  lowerCAmelCase_   :				int								= time.time()
  return end - start

def 				UpperCamelCase_    (    )						->   None:

  """simple docstring"""




  lowerCAmelCase_   :				Dict								= [10, 100, 1000, 1_0000, 5_0000, 10_0000, 20_0000, 30_0000, 40_0000, 50_0000]
  lowerCAmelCase_   :				Union[str, Any]								= [time_max_subarray(lowerCAmelCase__						) for input_size in input_sizes]
  print('No of Inputs\t\tTime Taken'						)
  for input_size, runtime in zip(lowerCAmelCase__    ,   lowerCAmelCase__						):
    print(lowerCAmelCase__    ,   '\t\t'    ,   lowerCAmelCase__						)
  plt.plot(lowerCAmelCase__    ,   lowerCAmelCase__						)
  plt.xlabel('Number of Inputs'						)
  plt.ylabel('Time taken in seconds'						)
  plt.show()


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

     testmod()










"""simple docstring"""







import warnings

from diffusers import StableDiffusionImgaImgPipeline  # noqa F401


warnings.warn(
    """The `image_to_image.py` script is outdated. Please use directly `from diffusers import"""
    """ StableDiffusionImg2ImgPipeline` instead."""
)





