

'''simple docstring'''

from __future__ import annotations

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

from matplotlib import pyplot as plt




def    A_  ( snake_case      ,       snake_case      ,       snake_case ):





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

  SCREAMING_SNAKE_CASE:Tuple						      =					(low + high) // 2
  SCREAMING_SNAKE_CASE:Dict						      =					max_subarray(_lowerCamelCase      ,       _lowerCamelCase      ,       _lowerCamelCase )
  SCREAMING_SNAKE_CASE:Optional[int]						      =					max_subarray(_lowerCamelCase      ,       mid + 1      ,       _lowerCamelCase )
  SCREAMING_SNAKE_CASE:Dict						      =					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    A_  ( snake_case      ,       snake_case      ,       snake_case      ,       snake_case ):
  SCREAMING_SNAKE_CASE:Union[str, Any]						      =					float("-inf" ), -1
  SCREAMING_SNAKE_CASE:Optional[int]						      =					float("-inf" ), -1

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

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

  return max_left, max_right, (left_sum + right_sum)




def    A_  ( snake_case ):
  SCREAMING_SNAKE_CASE:Tuple						      =					[randint(1      ,       _lowerCamelCase ) for _ in range(_lowerCamelCase )]
  SCREAMING_SNAKE_CASE:Optional[Any]						      =					time.time()
  max_subarray(_lowerCamelCase      ,       0      ,       input_size - 1 )
  SCREAMING_SNAKE_CASE:Any						      =					time.time()
  return end - start




def    A_  ( ):
  SCREAMING_SNAKE_CASE:Dict						      =					[10, 100, 1000, 10000, 50000, 100000, 200000, 300000, 400000, 500000]
  SCREAMING_SNAKE_CASE: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'''

from ....utils import logging


A_       						=							logging.get_logger(__name__)





class 							_snake_case (       _a						):
   def __init__( self			:      Optional[Any]     ,SCREAMING_SNAKE_CASE__			:      Optional[int]     ,SCREAMING_SNAKE_CASE__			:      Optional[Any]=None     ,SCREAMING_SNAKE_CASE__			:      Optional[int]=2_048							):
     SCREAMING_SNAKE_CASE:int						      =					config.__dict__
     SCREAMING_SNAKE_CASE:List[str]						      =					modal_hidden_size
     if num_labels:
       SCREAMING_SNAKE_CASE:str						      =					num_labels






