




from collections.abc import Sequence
from queue import Queue
class     a__					:






						def __init__(     self	,    _A	,    _A	,    _A	,    _A=None	,    _A=None    ):




											"""simple docstring"""



											__lowerCAmelCase            = start
											__lowerCAmelCase            = end
											__lowerCAmelCase            = val
											__lowerCAmelCase            = (start + end) // 2
											__lowerCAmelCase            = left
											__lowerCAmelCase            = right






						def __repr__(     self    ):




											"""simple docstring"""



											return f"""SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})"""






class     a__					:






						def __init__(     self	,    _A	,    _A    ):




											"""simple docstring"""



											__lowerCAmelCase            = collection
											__lowerCAmelCase            = function
											if self.collection:
																__lowerCAmelCase            = self._build_tree(0	,    len(_A    ) - 1    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A    ):




											"""simple docstring"""



											self._update_tree(self.root	,    _A	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A    ):




											"""simple docstring"""



											return self._query_range(self.root	,    _A	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A    ):




											"""simple docstring"""



											if start == end:
																return SegmentTreeNode(_A	,    _A	,    self.collection[start]    )
											__lowerCAmelCase            = (start + end) // 2
											__lowerCAmelCase            = self._build_tree(_A	,    _A    )
											__lowerCAmelCase            = self._build_tree(mid + 1	,    _A    )
											return SegmentTreeNode(_A	,    _A	,    self.fn(left.val	,    right.val    )	,    _A	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A	,    _A    ):




											"""simple docstring"""



											if node.start == i and node.end == i:
																__lowerCAmelCase            = val
																return
											if i <= node.mid:
																self._update_tree(node.left	,    _A	,    _A    )
											else:
																self._update_tree(node.right	,    _A	,    _A    )
											__lowerCAmelCase            = self.fn(node.left.val	,    node.right.val    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A	,    _A    ):




											"""simple docstring"""



											if node.start == i and node.end == j:
																return node.val

											if i <= node.mid:
																if j <= node.mid:
																					# range in left child tree
																					return self._query_range(node.left	,    _A	,    _A    )
																else:
																					# range in left child tree and right child tree
																					return self.fn(
																					    self._query_range(node.left	,    _A	,    node.mid    )	,    self._query_range(node.right	,    node.mid + 1	,    _A    )	,    )
											else:
																# range in right child tree
																return self._query_range(node.right	,    _A	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											if self.root is not None:
																__lowerCAmelCase            = Queue()
																queue.put(self.root    )
																while not queue.empty():
																					__lowerCAmelCase            = queue.get()
																					yield node

																					if node.left is not None:
																										queue.put(node.left    )

																					if node.right is not None:
																										queue.put(node.right    )


if __name__ == "__main__":
					import operator

					for fn in [operator.add, max, min]:
										print("""*""" * 50)
										UpperCamelCase__					    =    SegmentTree([2, 1, 5, 3, 4], fn)
										for node in arr.traverse():
															print(node)
										print()

										arr.update(1, 5)
										for node in arr.traverse():
															print(node)
										print()

										print(arr.query_range(3, 4))  # 7
										print(arr.query_range(2, 2))  # 5
										print(arr.query_range(1, 3))  # 13
										print()










import json
from typing import Iterator, List, Union

from tokenizers import AddedToken, Regex, Tokenizer, decoders, normalizers, pre_tokenizers, trainers
from tokenizers.implementations.base_tokenizer import BaseTokenizer
from tokenizers.models import Unigram
from tokenizers.processors import TemplateProcessing
class     a__					(      snake_case__   ):






						def __init__(     self	,    _A = "▁"	,    _A = True	,    _A = "<unk>"	,    _A = "</s>"	,    _A = "<pad>"	,    ):




											"""simple docstring"""



											__lowerCAmelCase            = {
											    "pad": {"id": 0, "token": pad_token},
											    "eos": {"id": 1, "token": eos_token},
											    "unk": {"id": 2, "token": unk_token},
											}

											__lowerCAmelCase            = [None] * len(self.special_tokens    )
											for token_dict in self.special_tokens.values():
																__lowerCAmelCase            = token_dict["token"]

											__lowerCAmelCase            = Tokenizer(Unigram()    )

											__lowerCAmelCase            = normalizers.Sequence(
											    [
											        normalizers.Nmt(),
											        normalizers.NFKC(),
											        normalizers.Replace(Regex(" {2,}"    )	,    " "    ),
											        normalizers.Lowercase(),
											    ]    )
											__lowerCAmelCase            = pre_tokenizers.Sequence(
											    [
											        pre_tokenizers.Metaspace(replacement=_A	,    add_prefix_space=_A    ),
											        pre_tokenizers.Digits(individual_digits=_A    ),
											        pre_tokenizers.Punctuation(),
											    ]    )
											__lowerCAmelCase            = decoders.Metaspace(replacement=_A	,    add_prefix_space=_A    )

											__lowerCAmelCase            = TemplateProcessing(
											    single=f"""$A {self.special_tokens['eos']['token']}"""	,    special_tokens=[(self.special_tokens["eos"]["token"], self.special_tokens["eos"]["id"])]	,    )

											__lowerCAmelCase            = {
											    "model": "SentencePieceUnigram",
											    "replacement": replacement,
											    "add_prefix_space": add_prefix_space,
											}

											super().__init__(_A	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A = 8_0_0_0	,    _A = True	,    ):




											"""simple docstring"""



											__lowerCAmelCase            = trainers.UnigramTrainer(
											    vocab_size=_A	,    special_tokens=self.special_tokens_list	,    show_progress=_A	,    )

											if isinstance(_A	,    _A    ):
																__lowerCAmelCase            = [files]
											self._tokenizer.train(_A	,    trainer=_A    )

											self.add_unk_id()






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A = 8_0_0_0	,    _A = True	,    ):




											"""simple docstring"""



											__lowerCAmelCase            = trainers.UnigramTrainer(
											    vocab_size=_A	,    special_tokens=self.special_tokens_list	,    show_progress=_A	,    )

											self._tokenizer.train_from_iterator(_A	,    trainer=_A    )

											self.add_unk_id()






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											__lowerCAmelCase            = json.loads(self._tokenizer.to_str()    )

											__lowerCAmelCase            = self.special_tokens["unk"]["id"]

											__lowerCAmelCase            = Tokenizer.from_str(json.dumps(_A    )    )




