





'''simple docstring'''







from __future__ import annotations

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

from matplotlib import pyplot as plt





def        lowerCamelCase_      (  SCREAMING_SNAKE_CASE__      :			Sequence[float],			SCREAMING_SNAKE_CASE__      :			int,			SCREAMING_SNAKE_CASE__      :			int   ) ->	tuple[int | None, int | None, float]:
						if not arr:
												return None, None, 0
						if low == high:
												return low, high, arr[low]

						UpperCAmelCase_			:      Optional[Any]     						=  (low + high) // 2
						UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      Dict     						=  max_subarray(SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__   )
						UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      Tuple     						=  max_subarray(SCREAMING_SNAKE_CASE__,			mid + 1,			SCREAMING_SNAKE_CASE__   )
						UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      Optional[Any]     						=  max_cross_sum(SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__   )
						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        lowerCamelCase_      (  SCREAMING_SNAKE_CASE__      :			Sequence[float],			SCREAMING_SNAKE_CASE__      :			int,			SCREAMING_SNAKE_CASE__      :			int,			SCREAMING_SNAKE_CASE__      :			int   ) ->	tuple[int, int, float]:
						UpperCAmelCase_						,       UpperCAmelCase_			:      Dict     						=  float('''-inf'''   ), -1
						UpperCAmelCase_						,       UpperCAmelCase_			:      Any     						=  float('''-inf'''   ), -1

						UpperCAmelCase_			:      int | float     						=  0
						for i in range(SCREAMING_SNAKE_CASE__,			low - 1,			-1   ):
												summ += arr[i]
												if summ > left_sum:
																		UpperCAmelCase_			:      int     						=  summ
																		UpperCAmelCase_			:      Dict     						=  i

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

						return max_left, max_right, (left_sum + right_sum)





def        lowerCamelCase_      (  SCREAMING_SNAKE_CASE__      :			int   ) ->	float:
						UpperCAmelCase_			:      List[Any]     						=  [randint(1,			SCREAMING_SNAKE_CASE__   ) for _ in range(SCREAMING_SNAKE_CASE__   )]
						UpperCAmelCase_			:      int     						=  time.time()
						max_subarray(SCREAMING_SNAKE_CASE__,			0,			input_size - 1   )
						UpperCAmelCase_			:      Union[str, Any]     						=  time.time()
						return end - start





def        lowerCamelCase_      (  ) ->	None:
						UpperCAmelCase_			:      Optional[int]     						=  [10, 100, 1000, 10000, 50000, 100000, 200000, 300000, 400000, 500000]
						UpperCAmelCase_			:      str     						=  [time_max_subarray(SCREAMING_SNAKE_CASE__   ) for input_size in input_sizes]
						print('''No of Inputs\t\tTime Taken'''   )
						for input_size, runtime in zip(SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__   ):
												print(SCREAMING_SNAKE_CASE__,			'''\t\t''',			SCREAMING_SNAKE_CASE__   )
						plt.plot(SCREAMING_SNAKE_CASE__,			SCREAMING_SNAKE_CASE__   )
						plt.xlabel('''Number of Inputs'''   )
						plt.ylabel('''Time taken in seconds'''   )
						plt.show()


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

					testmod()












'''simple docstring'''







import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch


if is_torch_available():
					import torch

					from transformers.generation import DisjunctiveConstraint


@require_torch
class 					__a      (unittest.TestCase     ):

							def     UpperCAmelCase__	(							self							:     Optional[Any]   )					->       List[Any]:







													"""simple docstring"""
													# For consistency across different places the DisjunctiveConstraint is called,
													# dc.token_ids is a list of integers. It is also initialized only by integers.

													UpperCAmelCase_			:      List[str]     						=  [[1, 2, 4], [1, 2, 3, 4]]
													UpperCAmelCase_			:      List[str]     						=  DisjunctiveConstraint(__magic_name__   )
													self.assertTrue(isinstance(dc.token_ids       ,     __magic_name__   )   )

													with self.assertRaises(__magic_name__   ):
																			DisjunctiveConstraint(torch.LongTensor([[1, 2, 4], [1, 2, 3]]   )   )

													with self.assertRaises(__magic_name__   ):
																			DisjunctiveConstraint([torch.LongTensor([1, 2, 4]   ), torch.LongTensor([1, 2, 3, 4, 5]   )]   )

							def     UpperCAmelCase__	(							self							:     List[str]   )					->       Dict:







													"""simple docstring"""
													# We can't have constraints that are complete subsets of another. This leads to a preverse
													# interpretation of "constraint fulfillment": does generating [1,2,3] fulfill the constraint?
													# It would mean that it generated [1,2] which fulfills it, but it's in the middle of potentially
													# fulfilling [1,2,3,4]. If we believe that [1,2,3] does fulfill the constraint, then the algorithm
													# will necessarily never reach [1,2,3,4], giving users a false sense of control (better to just not allow it).
													UpperCAmelCase_			:      Tuple     						=  [[1, 2], [1, 2, 3, 4]]

													with self.assertRaises(__magic_name__   ):
																			DisjunctiveConstraint(__magic_name__   )  # fails here

							def     UpperCAmelCase__	(							self							:     Optional[int]   )					->       Union[str, Any]:







													"""simple docstring"""
													UpperCAmelCase_			:      Optional[int]     						=  [[1, 2, 3], [1, 2, 4]]

													UpperCAmelCase_			:      List[str]     						=  DisjunctiveConstraint(__magic_name__   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      List[Any]     						=  dc.update(1   )
													UpperCAmelCase_			:      Dict     						=  stepped is True and completed is False and reset is False
													self.assertTrue(__magic_name__   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.current_seq == [1]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      str     						=  dc.update(2   )
													UpperCAmelCase_			:      Optional[Any]     						=  stepped is True and completed is False and reset is False
													self.assertTrue(__magic_name__   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.current_seq == [1, 2]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      List[Any]     						=  dc.update(3   )
													UpperCAmelCase_			:      Dict     						=  stepped is True and completed is True and reset is False
													self.assertTrue(__magic_name__   )
													self.assertTrue(dc.completed   )  # Completed!
													self.assertTrue(dc.current_seq == [1, 2, 3]   )



							def     UpperCAmelCase__	(							self							:     int   )					->       Dict:







													"""simple docstring"""
													UpperCAmelCase_			:      Any     						=  [[1, 2, 3], [1, 2, 4, 5], [1, 2, 5]]

													UpperCAmelCase_			:      Tuple     						=  DisjunctiveConstraint(__magic_name__   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      List[Any]     						=  dc.update(1   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.current_seq == [1]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      Optional[int]     						=  dc.update(2   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.current_seq == [1, 2]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      int     						=  dc.update(4   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.current_seq == [1, 2, 4]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      int     						=  dc.update(5   )
													self.assertTrue(dc.completed   )  # Completed!
													self.assertTrue(dc.current_seq == [1, 2, 4, 5]   )

													dc.reset()

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      List[Any]     						=  dc.update(1   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.remaining() == 3   )
													self.assertTrue(dc.current_seq == [1]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      Optional[Any]     						=  dc.update(2   )
													self.assertTrue(not dc.completed   )
													self.assertTrue(dc.remaining() == 2   )
													self.assertTrue(dc.current_seq == [1, 2]   )

													UpperCAmelCase_						,       UpperCAmelCase_						,       UpperCAmelCase_			:      Optional[int]     						=  dc.update(5   )
													self.assertTrue(dc.completed   )  # Completed!
													self.assertTrue(dc.remaining() == 0   )
													self.assertTrue(dc.current_seq == [1, 2, 5]   )





