





from collections.abc import Sequence
from queue import Queue






class       __A					:

			'''simple docstring'''







			def __init__(					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase=None ,						__lowerCAmelCase=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					:

			'''simple docstring'''







			def __init__(					self ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







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





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







				self._update_tree(self.root ,						__lowerCAmelCase ,						__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







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





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







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





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







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





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''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 ,						__lowerCAmelCase ,						__lowerCAmelCase							)
					else:
						# range in left child tree and right child tree
						return self.fn(
						    self._query_range(node.left ,						__lowerCAmelCase ,						node.mid							) ,						self._query_range(node.right ,						node.mid + 1 ,						__lowerCAmelCase							) ,						)
				else:
					# range in right child tree
					return self._query_range(node.right ,						__lowerCAmelCase ,						__lowerCAmelCase							)





			def 	__lowerCamelCase       (					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)
						_a						=   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 coval  # From: git+https://github.com/ns-moosavi/coval.git # noqa: F401
from coval.conll import reader, util
from coval.eval import evaluator

import datasets


_a						=   datasets.logging.get_logger(__name__)


_a						=   "\\n@InProceedings{moosavi2019minimum,\n    author = { Nafise Sadat Moosavi, Leo Born, Massimo Poesio and Michael Strube},\n    title = {Using Automatically Extracted Minimum Spans to Disentangle Coreference Evaluation from Boundary Detection},\n    year = {2019},\n    booktitle = {Proceedings of the 57th Annual Meeting of\n        the Association for Computational Linguistics (Volume 1: Long Papers)},\n    publisher = {Association for Computational Linguistics},\n    address = {Florence, Italy},\n}\n\n@inproceedings{10.3115/1072399.1072405,\nauthor = {Vilain, Marc and Burger, John and Aberdeen, John and Connolly, Dennis and Hirschman, Lynette},\ntitle = {A Model-Theoretic Coreference Scoring Scheme},\nyear = {1995},\nisbn = {1558604022},\npublisher = {Association for Computational Linguistics},\naddress = {USA},\nurl = {https://doi.org/10.3115/1072399.1072405},\ndoi = {10.3115/1072399.1072405},\nbooktitle = {Proceedings of the 6th Conference on Message Understanding},\npages = {45–52},\nnumpages = {8},\nlocation = {Columbia, Maryland},\nseries = {MUC6 ’95}\n}\n\n@INPROCEEDINGS{Bagga98algorithmsfor,\n    author = {Amit Bagga and Breck Baldwin},\n    title = {Algorithms for Scoring Coreference Chains},\n    booktitle = {In The First International Conference on Language Resources and Evaluation Workshop on Linguistics Coreference},\n    year = {1998},\n    pages = {563--566}\n}\n\n@INPROCEEDINGS{Luo05oncoreference,\n    author = {Xiaoqiang Luo},\n    title = {On coreference resolution performance metrics},\n    booktitle = {In Proc. of HLT/EMNLP},\n    year = {2005},\n    pages = {25--32},\n    publisher = {URL}\n}\n\n@inproceedings{moosavi-strube-2016-coreference,\n    title = \"Which Coreference Evaluation Metric Do You Trust? A Proposal for a Link-based Entity Aware Metric\",\n    author = \"Moosavi, Nafise Sadat  and\n      Strube, Michael\",\n    booktitle = \"Proceedings of the 54th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)\",\n    month = aug,\n    year = \"2016\",\n    address = \"Berlin, Germany\",\n    publisher = \"Association for Computational Linguistics\",\n    url = \"https://www.aclweb.org/anthology/P16-1060\",\n    doi = \"10.18653/v1/P16-1060\",\n    pages = \"632--642\",\n}\n\n"

_a						=   "\\nCoVal is a coreference evaluation tool for the CoNLL and ARRAU datasets which\nimplements of the common evaluation metrics including MUC [Vilain et al, 1995],\nB-cubed [Bagga and Baldwin, 1998], CEAFe [Luo et al., 2005],\nLEA [Moosavi and Strube, 2016] and the averaged CoNLL score\n(the average of the F1 values of MUC, B-cubed and CEAFe)\n[Denis and Baldridge, 2009a; Pradhan et al., 2011].\n\nThis wrapper of CoVal currently only work with CoNLL line format:\nThe CoNLL format has one word per line with all the annotation for this word in column separated by spaces:\nColumn	Type	Description\n1	Document ID	This is a variation on the document filename\n2	Part number	Some files are divided into multiple parts numbered as 000, 001, 002, ... etc.\n3	Word number\n4	Word itself	This is the token as segmented/tokenized in the Treebank. Initially the *_skel file contain the placeholder [WORD] which gets replaced by the actual token from the Treebank which is part of the OntoNotes release.\n5	Part-of-Speech\n6	Parse bit	This is the bracketed structure broken before the first open parenthesis in the parse, and the word/part-of-speech leaf replaced with a *. The full parse can be created by substituting the asterix with the \"([pos] [word])\" string (or leaf) and concatenating the items in the rows of that column.\n7	Predicate lemma	The predicate lemma is mentioned for the rows for which we have semantic role information. All other rows are marked with a \"-\"\n8	Predicate Frameset ID	This is the PropBank frameset ID of the predicate in Column 7.\n9	Word sense	This is the word sense of the word in Column 3.\n10	Speaker/Author	This is the speaker or author name where available. Mostly in Broadcast Conversation and Web Log data.\n11	Named Entities	These columns identifies the spans representing various named entities.\n12:N	Predicate Arguments	There is one column each of predicate argument structure information for the predicate mentioned in Column 7.\nN	Coreference	Coreference chain information encoded in a parenthesis structure.\nMore informations on the format can be found here (section \"*_conll File Format\"): http://www.conll.cemantix.org/2012/data.html\n\nDetails on the evaluation on CoNLL can be found here: https://github.com/ns-moosavi/coval/blob/master/conll/README.md\n\nCoVal code was written by @ns-moosavi.\nSome parts are borrowed from https://github.com/clarkkev/deep-coref/blob/master/evaluation.py\nThe test suite is taken from https://github.com/conll/reference-coreference-scorers/\nMention evaluation and the test suite are added by @andreasvc.\nParsing CoNLL files is developed by Leo Born.\n"

_a						=   "\nCalculates coreference evaluation metrics.\nArgs:\n    predictions: list of sentences. Each sentence is a list of word predictions to score in the CoNLL format.\n        Each prediction is a word with its annotations as a string made of columns joined with spaces.\n        Only columns 4, 5, 6 and the last column are used (word, POS, Pars and coreference annotation)\n        See the details on the format in the description of the metric.\n    references: list of sentences. Each sentence is a list of word reference to score in the CoNLL format.\n        Each reference is a word with its annotations as a string made of columns joined with spaces.\n        Only columns 4, 5, 6 and the last column are used (word, POS, Pars and coreference annotation)\n        See the details on the format in the description of the metric.\n    keep_singletons: After extracting all mentions of key or system files,\n        mentions whose corresponding coreference chain is of size one,\n        are considered as singletons. The default evaluation mode will include\n        singletons in evaluations if they are included in the key or the system files.\n        By setting 'keep_singletons=False', all singletons in the key and system files\n        will be excluded from the evaluation.\n    NP_only: Most of the recent coreference resolvers only resolve NP mentions and\n        leave out the resolution of VPs. By setting the 'NP_only' option, the scorer will only evaluate the resolution of NPs.\n    min_span: By setting 'min_span', the scorer reports the results based on automatically detected minimum spans.\n        Minimum spans are determined using the MINA algorithm.\n\nReturns:\n    'mentions': mentions\n    'muc': MUC metric [Vilain et al, 1995]\n    'bcub': B-cubed [Bagga and Baldwin, 1998]\n    'ceafe': CEAFe [Luo et al., 2005]\n    'lea': LEA [Moosavi and Strube, 2016]\n    'conll_score': averaged CoNLL score (the average of the F1 values of MUC, B-cubed and CEAFe)\n\nExamples:\n\n    >>> coval = datasets.load_metric('coval')\n    >>> words = ['bc/cctv/00/cctv_0005   0   0       Thank   VBP  (TOP(S(VP*    thank  01   1    Xu_li  *           (V*)        *       -',\n    ... 'bc/cctv/00/cctv_0005   0   1         you   PRP        (NP*)      -    -   -    Xu_li  *        (ARG1*)   (ARG0*)   (116)',\n    ... 'bc/cctv/00/cctv_0005   0   2    everyone    NN        (NP*)      -    -   -    Xu_li  *    (ARGM-DIS*)        *    (116)',\n    ... 'bc/cctv/00/cctv_0005   0   3         for    IN        (PP*       -    -   -    Xu_li  *        (ARG2*         *       -',\n    ... 'bc/cctv/00/cctv_0005   0   4    watching   VBG   (S(VP*))))   watch  01   1    Xu_li  *             *)      (V*)      -',\n    ... 'bc/cctv/00/cctv_0005   0   5           .     .          *))      -    -   -    Xu_li  *             *         *       -']\n    >>> references = [words]\n    >>> predictions = [words]\n    >>> results = coval.compute(predictions=predictions, references=references)\n    >>> print(results) # doctest:+ELLIPSIS\n    {'mentions/recall': 1.0,[...] 'conll_score': 100.0}\n"





def lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case=False ,__snake_case=False ,__snake_case=True ,__snake_case=False ,__snake_case="dummy_doc"							)       ->   Union[str, Any]:







	'''simple docstring'''







	lowerCamelCase__              =	{doc: key_lines}
	lowerCamelCase__              =	{doc: sys_lines}

	lowerCamelCase__              =	{}

	lowerCamelCase__              =	0
	lowerCamelCase__              =	0
	lowerCamelCase__              =	0
	lowerCamelCase__              =	0
	lowerCamelCase__              =	0
	lowerCamelCase__              =	0

	lowerCamelCase__       ,			lowerCamelCase__              =	reader.get_doc_mentions(__snake_case ,key_doc_lines[doc] ,__snake_case							)
	key_singletons_num += singletons_num

	if NP_only or min_span:
		lowerCamelCase__              =	reader.set_annotated_parse_trees(__snake_case ,key_doc_lines[doc] ,__snake_case ,__snake_case							)

	lowerCamelCase__       ,			lowerCamelCase__              =	reader.get_doc_mentions(__snake_case ,sys_doc_lines[doc] ,__snake_case							)
	sys_singletons_num += singletons_num

	if NP_only or min_span:
		lowerCamelCase__              =	reader.set_annotated_parse_trees(__snake_case ,key_doc_lines[doc] ,__snake_case ,__snake_case							)

	if remove_nested:
		lowerCamelCase__       ,			lowerCamelCase__              =	reader.remove_nested_coref_mentions(__snake_case ,__snake_case							)
		key_nested_coref_num += nested_mentions
		key_removed_nested_clusters += removed_clusters

		lowerCamelCase__       ,			lowerCamelCase__              =	reader.remove_nested_coref_mentions(__snake_case ,__snake_case							)
		sys_nested_coref_num += nested_mentions
		sys_removed_nested_clusters += removed_clusters

	lowerCamelCase__              =	reader.get_mention_assignments(__snake_case ,__snake_case							)
	lowerCamelCase__              =	reader.get_mention_assignments(__snake_case ,__snake_case							)

	lowerCamelCase__              =	(key_clusters, sys_clusters, key_mention_sys_cluster, sys_mention_key_cluster)

	if remove_nested:
		logger.info(
		    '''Number of removed nested coreferring mentions in the key '''
		    F'annotation: {key_nested_coref_num}; and system annotation: {sys_nested_coref_num}'							)
		logger.info(
		    '''Number of resulting singleton clusters in the key '''
		    F'annotation: {key_removed_nested_clusters}; and system annotation: {sys_removed_nested_clusters}'							)

	if not keep_singletons:
		logger.info(
		    F'{key_singletons_num:d} and {sys_singletons_num:d} singletons are removed from the key and system '
		    '''files, respectively'''							)

	return doc_coref_infos





def lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case							)       ->   str:







	'''simple docstring'''







	lowerCamelCase__              =	get_coref_infos(__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case							)

	lowerCamelCase__              =	{}
	lowerCamelCase__              =	0
	lowerCamelCase__              =	0

	for name, metric in metrics:
		lowerCamelCase__       ,			lowerCamelCase__       ,			lowerCamelCase__              =	evaluator.evaluate_documents(__snake_case ,__snake_case ,beta=1							)
		if name in ["muc", "bcub", "ceafe"]:
			conll += fa
			conll_subparts_num += 1
		output_scores.update({F'{name}/recall': recall, F'{name}/precision': precision, F'{name}/f1': fa}							)

		logger.info(
		    name.ljust(10							) ,F'Recall: {recall * 100:.2f}' ,F' Precision: {precision * 100:.2f}' ,F' F1: {fa * 100:.2f}' ,)

	if conll_subparts_num == 3:
		lowerCamelCase__              =	(conll / 3) * 100
		logger.info(F'CoNLL score: {conll:.2f}'							)
		output_scores.update({'''conll_score''': conll}							)

	return output_scores





def lowerCAmelCase__(__snake_case							)       ->   Union[str, Any]:







	'''simple docstring'''







	lowerCamelCase__              =	False
	for line in key_lines:
		if not line.startswith('''#'''							):
			if len(line.split()							) > 6:
				lowerCamelCase__              =	line.split()[5]
				if not parse_col == "-":
					lowerCamelCase__              =	True
					break
				else:
					break
	return has_gold_parse






@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION    ,       _KWARGS_DESCRIPTION				)
class       __A					(					datasets.Metric				):

			'''simple docstring'''







			def 	__lowerCamelCase       (					self							):



				'''simple docstring'''







				return datasets.MetricInfo(
				    description=_DESCRIPTION ,						citation=_CITATION ,						inputs_description=_KWARGS_DESCRIPTION ,						features=datasets.Features(
				        {
				            '''predictions''': datasets.Sequence(datasets.Value('''string'''							)							),
				            '''references''': datasets.Sequence(datasets.Value('''string'''							)							),
				        }							) ,						codebase_urls=['''https://github.com/ns-moosavi/coval'''] ,						reference_urls=[
				        '''https://github.com/ns-moosavi/coval''',
				        '''https://www.aclweb.org/anthology/P16-1060''',
				        '''http://www.conll.cemantix.org/2012/data.html''',
				    ] ,						)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase=True ,						__lowerCAmelCase=False ,						__lowerCAmelCase=False ,						__lowerCAmelCase=False							):



				'''simple docstring'''







				lowerCamelCase__              =	[
				    ('''mentions''', evaluator.mentions),
				    ('''muc''', evaluator.muc),
				    ('''bcub''', evaluator.b_cubed),
				    ('''ceafe''', evaluator.ceafe),
				    ('''lea''', evaluator.lea),
				]

				if min_span:
					lowerCamelCase__              =	util.check_gold_parse_annotation(__lowerCAmelCase							)
					if not has_gold_parse:
						raise NotImplementedError('''References should have gold parse annotation to use \'min_span\'.'''							)
						# util.parse_key_file(key_file)
						# key_file = key_file + ".parsed"

				lowerCamelCase__              =	evaluate(
				    key_lines=__lowerCAmelCase ,						sys_lines=__lowerCAmelCase ,						metrics=__lowerCAmelCase ,						NP_only=__lowerCAmelCase ,						remove_nested=__lowerCAmelCase ,						keep_singletons=__lowerCAmelCase ,						min_span=__lowerCAmelCase ,						)

				return score



