
from __future__ import annotations

import math





class   UpperCamelCase_      :







						'''simple docstring'''



						def __init__(			self							:int		,    lowerCAmelCase__							:int     )  ->None:
										lowercase         =      size
										# approximate the overall size of segment tree with given value
										lowercase         =      [0 for i in range(0		,    4 * size     )]
										# create array to store lazy update
										lowercase         =      [0 for i in range(0		,    4 * size     )]
										lowercase         =      [0 for i in range(0		,    4 * size     )]  # flag for lazy update





						def        SCREAMING_SNAKE_CASE(			self							:Optional[int]		,    lowerCAmelCase__							:int     )  ->int:
										return idx * 2





						def        SCREAMING_SNAKE_CASE(			self							:List[str]		,    lowerCAmelCase__							:int     )  ->int:
										return idx * 2 + 1





						def        SCREAMING_SNAKE_CASE(			self							:Tuple		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:list[int]     )  ->None:
										if left_element == right_element:
														lowercase         =      a[left_element - 1]
										else:
														lowercase         =      (left_element + right_element) // 2
														self.build(self.left(lowerCAmelCase__     )		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )
														self.build(self.right(lowerCAmelCase__     )		,    mid + 1		,    lowerCAmelCase__		,    lowerCAmelCase__     )
														lowercase         =      max(
														    self.segment_tree[self.left(lowerCAmelCase__     )]		,    self.segment_tree[self.right(lowerCAmelCase__     )]     )





						def        SCREAMING_SNAKE_CASE(			self							:Optional[Any]		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int     )  ->bool:
										if self.flag[idx] is True:
														lowercase         =      self.lazy[idx]
														lowercase         =      False
														if left_element != right_element:
																		lowercase         =      self.lazy[idx]
																		lowercase         =      self.lazy[idx]
																		lowercase         =      True
																		lowercase         =      True

										if right_element < a or left_element > b:
														return True
										if left_element >= a and right_element <= b:
														lowercase         =      val
														if left_element != right_element:
																		lowercase         =      val
																		lowercase         =      val
																		lowercase         =      True
																		lowercase         =      True
														return True
										lowercase         =      (left_element + right_element) // 2
										self.update(self.left(lowerCAmelCase__     )		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )
										self.update(self.right(lowerCAmelCase__     )		,    mid + 1		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )
										lowercase         =      max(
										    self.segment_tree[self.left(lowerCAmelCase__     )]		,    self.segment_tree[self.right(lowerCAmelCase__     )]     )
										return True





						def        SCREAMING_SNAKE_CASE(			self							:Dict		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int		,    lowerCAmelCase__							:int     )  ->int | float:
										if self.flag[idx] is True:
														lowercase         =      self.lazy[idx]
														lowercase         =      False
														if left_element != right_element:
																		lowercase         =      self.lazy[idx]
																		lowercase         =      self.lazy[idx]
																		lowercase         =      True
																		lowercase         =      True
										if right_element < a or left_element > b:
														return -math.inf
										if left_element >= a and right_element <= b:
														return self.segment_tree[idx]
										lowercase         =      (left_element + right_element) // 2
										lowercase         =      self.query(self.left(lowerCAmelCase__     )		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )
										lowercase         =      self.query(self.right(lowerCAmelCase__     )		,    mid + 1		,    lowerCAmelCase__		,    lowerCAmelCase__		,    lowerCAmelCase__     )
										return max(lowerCAmelCase__		,    lowerCAmelCase__     )





						def __str__(			self							:Optional[Any]     )  ->str:
										return str([self.query(1		,    1		,    self.size		,    lowerCAmelCase__		,    lowerCAmelCase__     ) for i in range(1		,    self.size + 1     )]     )


if __name__ == "__main__":
						_snake_case      :							Any     	=    [1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
						_snake_case      :							int     	=    15
						_snake_case      :							Optional[int]     	=    SegmentTree(size)
						segt.build(1, 1, size, A)
						print(segt.query(1, 1, size, 4, 6))
						print(segt.query(1, 1, size, 7, 11))
						print(segt.query(1, 1, size, 7, 12))
						segt.update(1, 1, size, 1, 3, 1_11)
						print(segt.query(1, 1, size, 1, 15))
						segt.update(1, 1, size, 7, 8, 2_35)
						print(segt)


import importlib
import sys
from argparse import REMAINDER, ArgumentParser
from pathlib import Path

import torch_xla.distributed.xla_multiprocessing as xmp

def  __snake_case							(	):







				'''simple docstring'''


				lowercase         =      ArgumentParser(
				    description=(
				        "PyTorch TPU distributed training launch helper utility that will spawn up multiple distributed processes"
				    )						)

				# Optional arguments for the launch helper
				parser.add_argument("--num_cores"		,    type=__magic_name__		,    default=1		,    help="Number of TPU cores to use (1 or 8)."						)

				# positional
				parser.add_argument(
				    "training_script"		,    type=__magic_name__		,    help=(
				        "The full path to the single TPU training "
				        "program/script to be launched in parallel, "
				        "followed by all the arguments for the "
				        "training script"
				    )		,    )

				# rest from the training program
				parser.add_argument("training_script_args"		,    nargs=__magic_name__						)

				return parser.parse_args()

def  __snake_case							(	):







				'''simple docstring'''


				lowercase         =      parse_args()

				# Import training_script as a module.
				lowercase         =      Path(args.training_script						)
				sys.path.append(str(script_fpath.parent.resolve()						)						)
				lowercase         =      script_fpath.stem
				lowercase         =      importlib.import_module(__magic_name__						)

				# Patch sys.argv
				lowercase         =      [args.training_script] + args.training_script_args + ["--tpu_num_cores", str(args.num_cores						)]

				xmp.spawn(mod._mp_fn		,    args=()		,    nprocs=args.num_cores						)


if __name__ == "__main__":
						main()
