



from __future__ import annotations

from random import random
from typing import Generic, TypeVar

__snake_case		:Any   	=  TypeVar('''KT''')
__snake_case		:List[str]   	=  TypeVar('''VT''')

class 					_A (			Generic[KT, VT]					):



       def __init__(	self							:  Dict  ,	__SCREAMING_SNAKE_CASE							:  KT | str = "root"  ,	__SCREAMING_SNAKE_CASE							:  VT | None = None):


           '''simple docstring'''

           __a		 =       key
           __a		 =       value
           __a		 =       []



       def __repr__(	self							:  Dict):


           '''simple docstring'''

           return F'Node({self.key}: {self.value})'





       @property
       def 	_lowerCamelCase    (	self							:  Tuple):


           '''simple docstring'''

           return len(self.forward)


class 					_A (			Generic[KT, VT]					):



       def __init__(	self							:  Union[str, Any]  ,	__SCREAMING_SNAKE_CASE							:  float = 0.5  ,	__SCREAMING_SNAKE_CASE							:  int = 16):


           '''simple docstring'''

           __a		 =       Node[KT, VT]()
           __a		 =       0
           __a		 =       p
           __a		 =       max_level



       def __str__(	self							:  Union[str, Any]):


           '''simple docstring'''

           __a		 =       list(self)

           if len(__SCREAMING_SNAKE_CASE) == 0:
               return F'SkipList(level={self.level})'

           __a		 =       max((len(str(__SCREAMING_SNAKE_CASE)) for item in items)  ,	default=4)
           __a		 =       max(__SCREAMING_SNAKE_CASE  ,	4) + 4

           __a		 =       self.head
           __a		 =       []

           __a		 =       node.forward.copy()
           lines.append(F'[{node.key}]'.ljust(__SCREAMING_SNAKE_CASE  ,	'''-''') + '''* ''' * len(__SCREAMING_SNAKE_CASE))
           lines.append(''' ''' * label_size + '''| ''' * len(__SCREAMING_SNAKE_CASE))

           while len(node.forward) != 0:
               __a		 =       node.forward[0]

               lines.append(
                   F'[{node.key}]'.ljust(__SCREAMING_SNAKE_CASE  ,	'''-''')
                   + ''' '''.join(str(n.key) if n.key == node.key else '''|''' for n in forwards))
               lines.append(''' ''' * label_size + '''| ''' * len(__SCREAMING_SNAKE_CASE))
               __a		 =       node.forward

           lines.append('''None'''.ljust(__SCREAMING_SNAKE_CASE) + '''* ''' * len(__SCREAMING_SNAKE_CASE))
           return F'SkipList(level={self.level})\n' + "\n".join(__SCREAMING_SNAKE_CASE)



       def __iter__(	self							:  int):


           '''simple docstring'''

           __a		 =       self.head

           while len(node.forward) != 0:
               yield node.forward[0].key
               __a		 =       node.forward[0]



       def 	_lowerCamelCase    (	self							:  List[Any]):


           '''simple docstring'''

           __a		 =       1
           while random() < self.p and level < self.max_level:
               level += 1

           return level



       def 	_lowerCamelCase    (	self							:  Tuple  ,	__SCREAMING_SNAKE_CASE							:  Union[str, Any]):


           '''simple docstring'''

           __a		 =       []

           __a		 =       self.head

           for i in reversed(range(self.level)):
               # i < node.level - When node level is lesser than `i` decrement `i`.
               # node.forward[i].key < key - Jumping to node with key value higher
               #                             or equal to searched key would result
               #                             in skipping searched key.
               while i < node.level and node.forward[i].key < key:
                   __a		 =       node.forward[i]
               # Each leftmost node (relative to searched node) will potentially have to
               # be updated.
               update_vector.append(__SCREAMING_SNAKE_CASE)

           update_vector.reverse()  # Note that we were inserting values in reverse order.

           # len(node.forward) != 0 - If current node doesn't contain any further
           #                          references then searched key is not present.
           # node.forward[0].key == key - Next node key should be equal to search key
           #                              if key is present.
           if len(node.forward) != 0 and node.forward[0].key == key:
               return node.forward[0], update_vector
           else:
               return None, update_vector



       def 	_lowerCamelCase    (	self							:  Dict  ,	__SCREAMING_SNAKE_CASE							:  KT):


           '''simple docstring'''

           __a ,     __a		 =       self._locate_node(__SCREAMING_SNAKE_CASE)

           if node is not None:
               for i, update_node in enumerate(__SCREAMING_SNAKE_CASE):
                   # Remove or replace all references to removed node.
                   if update_node.level > i and update_node.forward[i].key == key:
                       if node.level > i:
                           __a		 =       node.forward[i]
                       else:
                           __a		 =       update_node.forward[:i]



       def 	_lowerCamelCase    (	self							:  List[str]  ,	__SCREAMING_SNAKE_CASE							:  KT  ,	__SCREAMING_SNAKE_CASE							:  VT):


           '''simple docstring'''

           __a ,     __a		 =       self._locate_node(__SCREAMING_SNAKE_CASE)
           if node is not None:
               __a		 =       value
           else:
               __a		 =       self.random_level()

               if level > self.level:
                   # After level increase we have to add additional nodes to head.
                   for _ in range(self.level - 1  ,	__SCREAMING_SNAKE_CASE):
                       update_vector.append(self.head)
                   __a		 =       level

               __a		 =       Node(__SCREAMING_SNAKE_CASE  ,	__SCREAMING_SNAKE_CASE)

               for i, update_node in enumerate(update_vector[:level]):
                   # Change references to pass through new node.
                   if update_node.level > i:
                       new_node.forward.append(update_node.forward[i])

                   if update_node.level < i + 1:
                       update_node.forward.append(__SCREAMING_SNAKE_CASE)
                   else:
                       __a		 =       new_node





       def 	_lowerCamelCase    (	self							:  Union[str, Any]  ,	__SCREAMING_SNAKE_CASE							:  VT):


           '''simple docstring'''

           __a ,     __a		 =       self._locate_node(__SCREAMING_SNAKE_CASE)

           if node is not None:
               return node.value

           return None





def   __snake_case			(    ):
    __a		 =       SkipList()
    skip_list.insert('''Key1'''     ,				3       )
    skip_list.insert('''Key2'''     ,				12       )
    skip_list.insert('''Key3'''     ,				41       )
    skip_list.insert('''Key4'''     ,				-19       )

    __a		 =       skip_list.head
    __a		 =       {}
    while node.level != 0:
        __a		 =       node.forward[0]
        __a		 =       node.value

    assert len(_UpperCAmelCase       ) == 4
    assert all_values["Key1"] == 3
    assert all_values["Key2"] == 12
    assert all_values["Key3"] == 41
    assert all_values["Key4"] == -19





def   __snake_case			(    ):
    __a		 =       SkipList()
    skip_list.insert('''Key1'''     ,				10       )
    skip_list.insert('''Key1'''     ,				12       )

    skip_list.insert('''Key5'''     ,				7       )
    skip_list.insert('''Key7'''     ,				10       )
    skip_list.insert('''Key10'''     ,				5       )

    skip_list.insert('''Key7'''     ,				7       )
    skip_list.insert('''Key5'''     ,				5       )
    skip_list.insert('''Key10'''     ,				10       )

    __a		 =       skip_list.head
    __a		 =       {}
    while node.level != 0:
        __a		 =       node.forward[0]
        __a		 =       node.value

    if len(_UpperCAmelCase       ) != 4:
        print()
    assert len(_UpperCAmelCase       ) == 4
    assert all_values["Key1"] == 12
    assert all_values["Key7"] == 7
    assert all_values["Key5"] == 5
    assert all_values["Key10"] == 10





def   __snake_case			(    ):
    __a		 =       SkipList()
    assert skip_list.find('''Some key'''       ) is None





def   __snake_case			(    ):
    __a		 =       SkipList()

    skip_list.insert('''Key2'''     ,				20       )
    assert skip_list.find('''Key2'''       ) == 20

    skip_list.insert('''Some Key'''     ,				10       )
    skip_list.insert('''Key2'''     ,				8       )
    skip_list.insert('''V'''     ,				13       )

    assert skip_list.find('''Y'''       ) is None
    assert skip_list.find('''Key2'''       ) == 8
    assert skip_list.find('''Some Key'''       ) == 10
    assert skip_list.find('''V'''       ) == 13





def   __snake_case			(    ):
    __a		 =       SkipList()
    skip_list.delete('''Some key'''       )

    assert len(skip_list.head.forward       ) == 0





def   __snake_case			(    ):
    __a		 =       SkipList()

    skip_list.insert('''Key1'''     ,				12       )
    skip_list.insert('''V'''     ,				13       )
    skip_list.insert('''X'''     ,				14       )
    skip_list.insert('''Key2'''     ,				15       )

    skip_list.delete('''V'''       )
    skip_list.delete('''Key2'''       )

    assert skip_list.find('''V'''       ) is None
    assert skip_list.find('''Key2'''       ) is None





def   __snake_case			(    ):
    __a		 =       SkipList()

    skip_list.insert('''Key1'''     ,				12       )
    skip_list.insert('''V'''     ,				13       )
    skip_list.insert('''X'''     ,				14       )
    skip_list.insert('''Key2'''     ,				15       )

    skip_list.delete('''V'''       )
    assert skip_list.find('''V'''       ) is None
    assert skip_list.find('''X'''       ) == 14
    assert skip_list.find('''Key1'''       ) == 12
    assert skip_list.find('''Key2'''       ) == 15

    skip_list.delete('''X'''       )
    assert skip_list.find('''V'''       ) is None
    assert skip_list.find('''X'''       ) is None
    assert skip_list.find('''Key1'''       ) == 12
    assert skip_list.find('''Key2'''       ) == 15

    skip_list.delete('''Key1'''       )
    assert skip_list.find('''V'''       ) is None
    assert skip_list.find('''X'''       ) is None
    assert skip_list.find('''Key1'''       ) is None
    assert skip_list.find('''Key2'''       ) == 15

    skip_list.delete('''Key2'''       )
    assert skip_list.find('''V'''       ) is None
    assert skip_list.find('''X'''       ) is None
    assert skip_list.find('''Key1'''       ) is None
    assert skip_list.find('''Key2'''       ) is None





def   __snake_case			(    ):
    __a		 =       SkipList()

    skip_list.insert('''Key1'''     ,				12       )
    skip_list.insert('''V'''     ,				13       )
    skip_list.insert('''X'''     ,				142       )
    skip_list.insert('''Key2'''     ,				15       )

    skip_list.delete('''X'''       )

    def traverse_keys(_UpperCAmelCase       ):
        yield node.key
        for forward_node in node.forward:
            yield from traverse_keys(_UpperCAmelCase       )

    assert len(set(traverse_keys(skip_list.head       )       )       ) == 4





def   __snake_case			(    ):
    def is_sorted(_UpperCAmelCase       ):
        return all(next_item >= item for item, next_item in zip(_UpperCAmelCase     ,				lst[1:]       )       )

    __a		 =       SkipList()
    for i in range(10       ):
        skip_list.insert(_UpperCAmelCase     ,				_UpperCAmelCase       )
    assert is_sorted(list(_UpperCAmelCase       )       )
    skip_list.delete(5       )
    skip_list.delete(8       )
    skip_list.delete(2       )
    assert is_sorted(list(_UpperCAmelCase       )       )
    skip_list.insert(-12     ,				-12       )
    skip_list.insert(77     ,				77       )
    assert is_sorted(list(_UpperCAmelCase       )       )





def   __snake_case			(    ):
    for _ in range(100       ):
        # Repeat test 100 times due to the probabilistic nature of skip list
        # random values == random bugs
        test_insert()
        test_insert_overrides_existing_value()

        test_searching_empty_list_returns_none()
        test_search()

        test_deleting_item_from_empty_list_do_nothing()
        test_deleted_items_are_not_founded_by_find_method()
        test_delete_removes_only_given_key()
        test_delete_doesnt_leave_dead_nodes()

        test_iter_always_yields_sorted_values()





def   __snake_case			(    ):
    __a		 =       SkipList()
    skip_list.insert(2     ,				'''2'''       )
    skip_list.insert(4     ,				'''4'''       )
    skip_list.insert(6     ,				'''4'''       )
    skip_list.insert(4     ,				'''5'''       )
    skip_list.insert(8     ,				'''4'''       )
    skip_list.insert(9     ,				'''4'''       )

    skip_list.delete(4       )

    print(_UpperCAmelCase       )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()










from typing import List

import jiwer
import jiwer.transforms as tr
from packaging import version

import datasets
from datasets.config import PY_VERSION


if PY_VERSION < version.parse('''3.8'''):
 import importlib_metadata
else:
 import importlib.metadata as importlib_metadata


__snake_case		:int   	=  ''''''


if version.parse(importlib_metadata.version('''jiwer''')) < version.parse('''2.3.0'''):

 class 					_A (			tr.AbstractTransform					):



        def __init__(	self							:  List[Any]  ,	__SCREAMING_SNAKE_CASE							:  str = " "):


            '''simple docstring'''

            __a		 =       sentence_delimiter



        def 	_lowerCamelCase    (	self							:  Dict  ,	__SCREAMING_SNAKE_CASE							:  str):


            '''simple docstring'''

            return list(__SCREAMING_SNAKE_CASE)





        def 	_lowerCamelCase    (	self							:  int  ,	__SCREAMING_SNAKE_CASE							:  List[str]):


            '''simple docstring'''

            __a		 =       []
            for sent_idx, sentence in enumerate(__SCREAMING_SNAKE_CASE):
                chars.extend(self.process_string(__SCREAMING_SNAKE_CASE))
                if self.sentence_delimiter is not None and self.sentence_delimiter != "" and sent_idx < len(__SCREAMING_SNAKE_CASE) - 1:
                    chars.append(self.sentence_delimiter)
            return chars


 __snake_case		:Any   	=  tr.Compose(
     [tr.RemoveMultipleSpaces(), tr.Strip(), SentencesToListOfCharacters(SENTENCE_DELIMITER)]
 )
else:
 __snake_case		:Optional[int]   	=  tr.Compose(
     [
         tr.RemoveMultipleSpaces(),
         tr.Strip(),
         tr.ReduceToSingleSentence(SENTENCE_DELIMITER),
         tr.ReduceToListOfListOfChars(),
     ]
 )


__snake_case		:Optional[int]   	=  '''\
@inproceedings{inproceedings,
    author = {Morris, Andrew and Maier, Viktoria and Green, Phil},
    year = {2004},
    month = {01},
    pages = {},
    title = {From WER and RIL to MER and WIL: improved evaluation measures for connected speech recognition.}
}
'''

__snake_case		:Tuple   	=  '''\
Character error rate (CER) is a common metric of the performance of an automatic speech recognition system.

CER is similar to Word Error Rate (WER), but operates on character instead of word. Please refer to docs of WER for further information.

Character error rate can be computed as:

CER = (S + D + I) / N = (S + D + I) / (S + D + C)

where

S is the number of substitutions,
D is the number of deletions,
I is the number of insertions,
C is the number of correct characters,
N is the number of characters in the reference (N=S+D+C).

CER\'s output is not always a number between 0 and 1, in particular when there is a high number of insertions. This value is often associated to the percentage of characters that were incorrectly predicted. The lower the value, the better the
performance of the ASR system with a CER of 0 being a perfect score.
'''

__snake_case		:Tuple   	=  '''
Computes CER score of transcribed segments against references.
Args:
    references: list of references for each speech input.
    predictions: list of transcribtions to score.
    concatenate_texts: Whether or not to concatenate sentences before evaluation, set to True for more accurate result.
Returns:
    (float): the character error rate

Examples:

    >>> predictions = ["this is the prediction", "there is an other sample"]
    >>> references = ["this is the reference", "there is another one"]
    >>> cer = datasets.load_metric("cer")
    >>> cer_score = cer.compute(predictions=predictions, references=references)
    >>> print(cer_score)
    0.34146341463414637
'''

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



       def 	_lowerCamelCase    (	self							:  Optional[Any]):


           '''simple docstring'''

           return datasets.MetricInfo(
               description=_DESCRIPTION  ,	citation=_CITATION  ,	inputs_description=_KWARGS_DESCRIPTION  ,	features=datasets.Features(
                   {
                       '''predictions''': datasets.Value('''string'''  ,	id='''sequence'''),
                       '''references''': datasets.Value('''string'''  ,	id='''sequence'''),
                   })  ,	codebase_urls=['''https://github.com/jitsi/jiwer/''']  ,	reference_urls=[
                   '''https://en.wikipedia.org/wiki/Word_error_rate''',
                   '''https://sites.google.com/site/textdigitisation/qualitymeasures/computingerrorrates''',
               ]  ,	)





       def 	_lowerCamelCase    (	self							:  Optional[int]  ,	__SCREAMING_SNAKE_CASE							:  str  ,	__SCREAMING_SNAKE_CASE							:  List[Any]  ,	__SCREAMING_SNAKE_CASE							:  Dict=False):


           '''simple docstring'''

           if concatenate_texts:
               return jiwer.compute_measures(
                   __SCREAMING_SNAKE_CASE  ,	__SCREAMING_SNAKE_CASE  ,	truth_transform=__SCREAMING_SNAKE_CASE  ,	hypothesis_transform=__SCREAMING_SNAKE_CASE  ,	)["wer"]

           __a		 =       0
           __a		 =       0
           for prediction, reference in zip(__SCREAMING_SNAKE_CASE  ,	__SCREAMING_SNAKE_CASE):
               __a		 =       jiwer.compute_measures(
                   __SCREAMING_SNAKE_CASE  ,	__SCREAMING_SNAKE_CASE  ,	truth_transform=__SCREAMING_SNAKE_CASE  ,	hypothesis_transform=__SCREAMING_SNAKE_CASE  ,	)
               incorrect += measures["substitutions"] + measures["deletions"] + measures["insertions"]
               total += measures["substitutions"] + measures["deletions"] + measures["hits"]

           return incorrect / total





