
from __future__ import annotations

__SCREAMING_SNAKE_CASE         =     [2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]


class 		__magic_name__   :





		def __init__(							self    :	List[Any]						,  lowerCamelCase__    :	int				):
							lowerCAmelCase		:					int  	=     -1
							lowerCAmelCase		:					int  	=     -1
							lowerCAmelCase		:					list[int]  	=     [-1] * length
							lowerCAmelCase		:					Node | None  	=     None
							lowerCAmelCase		:					Node | None  	=     None





		def __repr__(							self    :	Any				):
							return f'''Node(min_value={self.minn} max_value={self.maxx})'''



def     UpperCAmelCase__							(       __magic_name__						:     list[int]  ):


					'''simple docstring'''

					lowerCAmelCase		:					List[Any]  	=     Node(len(__magic_name__  )  )
					lowerCAmelCase		:					int  	=     min(__magic_name__  ), max(__magic_name__  )
					# Leaf node case where the node contains only one unique value
					if root.minn == root.maxx:
										return root
					lowerCAmelCase		:					Tuple  	=     (root.minn + root.maxx) // 2

					lowerCAmelCase		:					list[int]  	=     []
					lowerCAmelCase		:					list[int]  	=     []

					for index, num in enumerate(__magic_name__  ):
										if num <= pivot:
															left_arr.append(__magic_name__  )
										else:
															right_arr.append(__magic_name__  )
										lowerCAmelCase		:					Optional[Any]  	=     len(__magic_name__  )
					lowerCAmelCase		:					int  	=     build_tree(__magic_name__  )
					lowerCAmelCase		:					Tuple  	=     build_tree(__magic_name__  )
					return root
def     UpperCAmelCase__							(       __magic_name__						:     Node | None							,  __magic_name__						:     int							,  __magic_name__						:     int  ):


					'''simple docstring'''

					if index < 0 or node is None:
										return 0
					# Leaf node cases
					if node.minn == node.maxx:
										return index + 1 if node.minn == num else 0
					lowerCAmelCase		:					List[str]  	=     (node.minn + node.maxx) // 2
					if num <= pivot:
										# go the left subtree and map index to the left subtree
										return rank_till_index(node.left							,  __magic_name__							,  node.map_left[index] - 1  )
					else:
										# go to the right subtree and map index to the right subtree
										return rank_till_index(node.right							,  __magic_name__							,  index - node.map_left[index]  )
def     UpperCAmelCase__							(       __magic_name__						:     Node | None							,  __magic_name__						:     int							,  __magic_name__						:     int							,  __magic_name__						:     int  ):


					'''simple docstring'''

					if start > end:
										return 0
					lowerCAmelCase		:					str  	=     rank_till_index(__magic_name__							,  __magic_name__							,  __magic_name__  )
					lowerCAmelCase		:					Optional[int]  	=     rank_till_index(__magic_name__							,  __magic_name__							,  start - 1  )
					return rank_till_end - rank_before_start
def     UpperCAmelCase__							(       __magic_name__						:     Node | None							,  __magic_name__						:     int							,  __magic_name__						:     int							,  __magic_name__						:     int  ):


					'''simple docstring'''

					if index > (end - start) or start > end or node is None:
										return -1
					# Leaf node case
					if node.minn == node.maxx:
										return node.minn
					# Number of elements in the left subtree in interval [start, end]
					lowerCAmelCase		:					List[str]  	=     node.map_left[end] - (
					    node.map_left[start - 1] if start else 0
					)
					if num_elements_in_left_tree > index:
										return quantile(
										    node.left							,  __magic_name__							,  (node.map_left[start - 1] if start else 0)							,  node.map_left[end] - 1							,  )
					else:
										return quantile(
										    node.right							,  index - num_elements_in_left_tree							,  start - (node.map_left[start - 1] if start else 0)							,  end - node.map_left[end]							,  )
def     UpperCAmelCase__							(       __magic_name__						:     Node | None							,  __magic_name__						:     int							,  __magic_name__						:     int							,  __magic_name__						:     int							,  __magic_name__						:     int  ):


					'''simple docstring'''

					if (
					    start > end
					    or node is None
					    or start_num > end_num
					    or node.minn > end_num
					    or node.maxx < start_num
					):
										return 0
					if start_num <= node.minn and node.maxx <= end_num:
										return end - start + 1
					lowerCAmelCase		:					Dict  	=     range_counting(
					    node.left							,  (node.map_left[start - 1] if start else 0)							,  node.map_left[end] - 1							,  __magic_name__							,  __magic_name__							,  )
					lowerCAmelCase		:					List[str]  	=     range_counting(
					    node.right							,  start - (node.map_left[start - 1] if start else 0)							,  end - node.map_left[end]							,  __magic_name__							,  __magic_name__							,  )
					return left + right


if __name__ == "__main__":
		import doctest

		doctest.testmod()


import json
import os
from dataclasses import dataclass

import numpy as np
import pyarrow as pa

import datasets
from utils import get_duration


__SCREAMING_SNAKE_CASE			:   List[Any]         =     10_00_00_00_00_00
__SCREAMING_SNAKE_CASE			:   Optional[Any]         =     1_00_00

__SCREAMING_SNAKE_CASE     ,				__SCREAMING_SNAKE_CASE			:   Any         =     os.path.split(__file__)
__SCREAMING_SNAKE_CASE			:   List[str]         =     os.path.join(RESULTS_BASEPATH, 'results', RESULTS_FILENAME.replace('.py', '.json'))
def     UpperCAmelCase__							(       __magic_name__						:     int							,  __magic_name__						:     int  ):


					'''simple docstring'''

					lowerCAmelCase		:					Optional[int]  	=     pa.Table.from_pydict({'''col''': [0] * chunk_size}  )
					lowerCAmelCase		:					int  	=     pa.concat_tables([table] * (num_examples // chunk_size)  )
					return datasets.Dataset(__magic_name__							,  fingerprint='''table_100B'''  )


@dataclass
class 		__magic_name__   :
		_lowerCAmelCase		=	42
		_lowerCAmelCase		=	42
		_lowerCAmelCase		=	42
		_lowerCAmelCase		=	42





		def       _A							(							self    :	Optional[int]				):
							lowerCAmelCase		:					Union[str, Any]  	=     np.random.default_rng(self.seed				)
							lowerCAmelCase		:					Tuple  	=     rng.integers(low=self.low						,  high=self.high						,  size=self.size				).tolist()





		def __iter__(							self    :	Dict				):
							return iter(self._sampled_values				)





		def __len__(							self    :	Tuple				):
							return self.size



@get_duration
def     UpperCAmelCase__							(       __magic_name__						:     datasets.Dataset  ):


					'''simple docstring'''

					lowerCAmelCase		:					Union[str, Any]  	=     dataset[0]
@get_duration
def     UpperCAmelCase__							(       __magic_name__						:     datasets.Dataset  ):


					'''simple docstring'''

					lowerCAmelCase		:					Any  	=     dataset[-1]
@get_duration
def     UpperCAmelCase__							(       __magic_name__						:     datasets.Dataset  ):


					'''simple docstring'''

					lowerCAmelCase		:					int  	=     dataset[range(len(__magic_name__  ) // 2							,  len(__magic_name__  ) // 2 + 10_24  )]
@get_duration
def     UpperCAmelCase__							(       __magic_name__						:     datasets.Dataset  ):


					'''simple docstring'''

					lowerCAmelCase		:					List[Any]  	=     dataset[RandIter(0							,  len(__magic_name__  )							,  10_24							,  seed=42  )]
def     UpperCAmelCase__							(       ):


					'''simple docstring'''

					lowerCAmelCase		:					Dict  	=     {'''num examples''': SPEED_TEST_N_EXAMPLES}
					lowerCAmelCase		:					Tuple  	=     (get_first_row, get_last_row, get_batch_of_aaaa_rows, get_batch_of_aaaa_random_rows)
					print('''generating dataset'''  )
					lowerCAmelCase		:					Dict  	=     generate_100B_dataset(num_examples=__magic_name__							,  chunk_size=__magic_name__  )
					print('''Functions'''  )
					for func in functions:
										print(func.__name__  )
										lowerCAmelCase		:					List[Any]  	=     func(__magic_name__  )

					with open(__magic_name__							,  '''wb'''  ) as f:
										f.write(json.dumps(__magic_name__  ).encode('''utf-8'''  )  )


if __name__ == "__main__":  # useful to run the profiler
		benchmark_table_100B()
