






import math







class 				lowerCamelCase_     :
							def __init__(						self		:					Union[str, Any]							,__lowerCamelCase		:					int					):





								'''simple docstring'''



								a		=			len(__lowerCamelCase					)
								a		=			[0] * (
								    4 * self.N
								)  # approximate the overall size of segment tree with array N
								self.build(1							,0							,self.N - 1					)
							def  SCREAMING_SNAKE_CASE_ (						self		:					Tuple							,__lowerCamelCase		:					List[str]					):





								'''simple docstring'''



								return idx * 2
							def  SCREAMING_SNAKE_CASE_ (						self		:					Union[str, Any]							,__lowerCamelCase		:					Optional[int]					):





								'''simple docstring'''



								return idx * 2 + 1
							def  SCREAMING_SNAKE_CASE_ (						self		:					Any							,__lowerCamelCase		:					Union[str, Any]							,__lowerCamelCase		:					Optional[Any]							,__lowerCamelCase		:					Any					):  # noqa: E741





								'''simple docstring'''



								if l == r:
									a		=			A[l]
								else:
									a		=			(l + r) // 2
									self.build(self.left(__lowerCamelCase					)							,__lowerCamelCase							,__lowerCamelCase					)
									self.build(self.right(__lowerCamelCase					)							,mid + 1							,__lowerCamelCase					)
									a		=			max(self.st[self.left(__lowerCamelCase					)]							,self.st[self.right(__lowerCamelCase					)]					)
							def  SCREAMING_SNAKE_CASE_ (						self		:					Any							,__lowerCamelCase		:					List[str]							,__lowerCamelCase		:					int							,__lowerCamelCase		:					str					):





								'''simple docstring'''



								return self.update_recursive(1							,0							,self.N - 1							,a - 1							,b - 1							,__lowerCamelCase					)
							def  SCREAMING_SNAKE_CASE_ (						self		:					Union[str, Any]							,__lowerCamelCase		:					List[str]							,__lowerCamelCase		:					Optional[Any]							,__lowerCamelCase		:					Optional[Any]							,__lowerCamelCase		:					List[str]							,__lowerCamelCase		:					Dict							,__lowerCamelCase		:					Tuple					):  # noqa: E741





								'''simple docstring'''



								if r < a or l > b:
									return True
								if l == r:
									a		=			val
									return True
								a		=			(l + r) // 2
								self.update_recursive(self.left(__lowerCamelCase					)							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase					)
								self.update_recursive(self.right(__lowerCamelCase					)							,mid + 1							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase					)
								a		=			max(self.st[self.left(__lowerCamelCase					)]							,self.st[self.right(__lowerCamelCase					)]					)
								return True
							def  SCREAMING_SNAKE_CASE_ (						self		:					Optional[int]							,__lowerCamelCase		:					Any							,__lowerCamelCase		:					str					):





								'''simple docstring'''



								return self.query_recursive(1							,0							,self.N - 1							,a - 1							,b - 1					)
							def  SCREAMING_SNAKE_CASE_ (						self		:					Any							,__lowerCamelCase		:					List[str]							,__lowerCamelCase		:					Dict							,__lowerCamelCase		:					Optional[int]							,__lowerCamelCase		:					Union[str, Any]							,__lowerCamelCase		:					Any					):  # noqa: E741





								'''simple docstring'''



								if r < a or l > b:
									return -math.inf
								if l >= a and r <= b:
									return self.st[idx]
								a		=			(l + r) // 2
								a		=			self.query_recursive(self.left(__lowerCamelCase					)							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase					)
								a		=			self.query_recursive(self.right(__lowerCamelCase					)							,mid + 1							,__lowerCamelCase							,__lowerCamelCase							,__lowerCamelCase					)
								return max(__lowerCamelCase							,__lowerCamelCase					)




							def  SCREAMING_SNAKE_CASE_ (						self		:					str					):





								'''simple docstring'''



								a		=			[]
								for i in range(1							,N + 1					):
									show_list += [self.query(__lowerCamelCase							,__lowerCamelCase					)]
								print(__lowerCamelCase					)


if __name__ == "__main__":
				UpperCamelCase__						:      List[str]								=					[1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
				UpperCamelCase__						:      int								=					15
				UpperCamelCase__						:      Optional[int]								=					SegmentTree(A)
				print(segt.query(4, 6))
				print(segt.query(7, 11))
				print(segt.query(7, 12))
				segt.update(1, 3, 111)
				print(segt.query(1, 15))
				segt.update(7, 8, 235)
				segt.show_data()













from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCamelCase__						:      int								=					{
    """configuration_fsmt""": ["""FSMT_PRETRAINED_CONFIG_ARCHIVE_MAP""", """FSMTConfig"""],
    """tokenization_fsmt""": ["""FSMTTokenizer"""],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				UpperCamelCase__						:      Any								=					["""FSMTForConditionalGeneration""", """FSMTModel""", """PretrainedFSMTModel"""]


if TYPE_CHECKING:
				from .configuration_fsmt import FSMT_PRETRAINED_CONFIG_ARCHIVE_MAP, FSMTConfig
				from .tokenization_fsmt import FSMTTokenizer

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_fsmt import FSMTForConditionalGeneration, FSMTModel, PretrainedFSMTModel

else:
				import sys

				UpperCamelCase__						:      List[Any]								=					_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





