






"""simple docstring"""






import collections
from typing import List, Optional, Union

from ...tokenization_utils_base import BatchEncoding
from ...utils import TensorType, add_end_docstrings, add_start_docstrings, logging
from ..bert.tokenization_bert_fast import BertTokenizerFast
from .tokenization_dpr import DPRContextEncoderTokenizer, DPRQuestionEncoderTokenizer, DPRReaderTokenizer


UpperCAmelCase_   : List[Any]   			= logging.get_logger(__name__)

UpperCAmelCase_   : Any   			= {"""vocab_file""": """vocab.txt""", """tokenizer_file""": """tokenizer.json"""}

UpperCAmelCase_   : str   			= {
    """vocab_file""": {
        """facebook/dpr-ctx_encoder-single-nq-base""": (
            """https://huggingface.co/facebook/dpr-ctx_encoder-single-nq-base/resolve/main/vocab.txt"""
        ),
        """facebook/dpr-ctx_encoder-multiset-base""": (
            """https://huggingface.co/facebook/dpr-ctx_encoder-multiset-base/resolve/main/vocab.txt"""
        ),
    },
    """tokenizer_file""": {
        """facebook/dpr-ctx_encoder-single-nq-base""": (
            """https://huggingface.co/facebook/dpr-ctx_encoder-single-nq-base/resolve/main/tokenizer.json"""
        ),
        """facebook/dpr-ctx_encoder-multiset-base""": (
            """https://huggingface.co/facebook/dpr-ctx_encoder-multiset-base/resolve/main/tokenizer.json"""
        ),
    },
}
UpperCAmelCase_   : Dict   			= {
    """vocab_file""": {
        """facebook/dpr-question_encoder-single-nq-base""": (
            """https://huggingface.co/facebook/dpr-question_encoder-single-nq-base/resolve/main/vocab.txt"""
        ),
        """facebook/dpr-question_encoder-multiset-base""": (
            """https://huggingface.co/facebook/dpr-question_encoder-multiset-base/resolve/main/vocab.txt"""
        ),
    },
    """tokenizer_file""": {
        """facebook/dpr-question_encoder-single-nq-base""": (
            """https://huggingface.co/facebook/dpr-question_encoder-single-nq-base/resolve/main/tokenizer.json"""
        ),
        """facebook/dpr-question_encoder-multiset-base""": (
            """https://huggingface.co/facebook/dpr-question_encoder-multiset-base/resolve/main/tokenizer.json"""
        ),
    },
}
UpperCAmelCase_   : Tuple   			= {
    """vocab_file""": {
        """facebook/dpr-reader-single-nq-base""": (
            """https://huggingface.co/facebook/dpr-reader-single-nq-base/resolve/main/vocab.txt"""
        ),
        """facebook/dpr-reader-multiset-base""": (
            """https://huggingface.co/facebook/dpr-reader-multiset-base/resolve/main/vocab.txt"""
        ),
    },
    """tokenizer_file""": {
        """facebook/dpr-reader-single-nq-base""": (
            """https://huggingface.co/facebook/dpr-reader-single-nq-base/resolve/main/tokenizer.json"""
        ),
        """facebook/dpr-reader-multiset-base""": (
            """https://huggingface.co/facebook/dpr-reader-multiset-base/resolve/main/tokenizer.json"""
        ),
    },
}

UpperCAmelCase_   : Optional[Any]   			= {
    """facebook/dpr-ctx_encoder-single-nq-base""": 512,
    """facebook/dpr-ctx_encoder-multiset-base""": 512,
}
UpperCAmelCase_   : Any   			= {
    """facebook/dpr-question_encoder-single-nq-base""": 512,
    """facebook/dpr-question_encoder-multiset-base""": 512,
}
UpperCAmelCase_   : List[Any]   			= {
    """facebook/dpr-reader-single-nq-base""": 512,
    """facebook/dpr-reader-multiset-base""": 512,
}


UpperCAmelCase_   : Tuple   			= {
    """facebook/dpr-ctx_encoder-single-nq-base""": {"""do_lower_case""": True},
    """facebook/dpr-ctx_encoder-multiset-base""": {"""do_lower_case""": True},
}
UpperCAmelCase_   : Tuple   			= {
    """facebook/dpr-question_encoder-single-nq-base""": {"""do_lower_case""": True},
    """facebook/dpr-question_encoder-multiset-base""": {"""do_lower_case""": True},
}
UpperCAmelCase_   : int   			= {
    """facebook/dpr-reader-single-nq-base""": {"""do_lower_case""": True},
    """facebook/dpr-reader-multiset-base""": {"""do_lower_case""": True},
}




class 							lowerCAmelCase__				(			UpperCAmelCase__ ):






      '''simple docstring'''

      __UpperCamelCase	 =  VOCAB_FILES_NAMES
      __UpperCamelCase	 =  CONTEXT_ENCODER_PRETRAINED_VOCAB_FILES_MAP
      __UpperCamelCase	 =  CONTEXT_ENCODER_PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      __UpperCamelCase	 =  CONTEXT_ENCODER_PRETRAINED_INIT_CONFIGURATION
      __UpperCamelCase	 =  DPRContextEncoderTokenizer




class 							lowerCAmelCase__				(			UpperCAmelCase__ ):






      '''simple docstring'''

      __UpperCamelCase	 =  VOCAB_FILES_NAMES
      __UpperCamelCase	 =  QUESTION_ENCODER_PRETRAINED_VOCAB_FILES_MAP
      __UpperCamelCase	 =  QUESTION_ENCODER_PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      __UpperCamelCase	 =  QUESTION_ENCODER_PRETRAINED_INIT_CONFIGURATION
      __UpperCamelCase	 =  DPRQuestionEncoderTokenizer



UpperCAmelCase_   : List[str]   			= collections.namedtuple(
    """DPRSpanPrediction""", ["""span_score""", """relevance_score""", """doc_id""", """start_index""", """end_index""", """text"""]
)

UpperCAmelCase_   : Dict   			= collections.namedtuple("""DPRReaderOutput""", ["""start_logits""", """end_logits""", """relevance_logits"""])


UpperCAmelCase_   : List[Any]   			= r"""
    Return a dictionary with the token ids of the input strings and other information to give to `.decode_best_spans`.
    It converts the strings of a question and different passages (title and text) in a sequence of IDs (integers),
    using the tokenizer and vocabulary. The resulting `input_ids` is a matrix of size `(n_passages, sequence_length)`
    with the format:

    [CLS] <question token ids> [SEP] <titles ids> [SEP] <texts ids>

    Args:
        questions (`str` or `List[str]`):
            The questions to be encoded. You can specify one question for many passages. In this case, the question
            will be duplicated like `[questions] * n_passages`. Otherwise you have to specify as many questions as in
            `titles` or `texts`.
        titles (`str` or `List[str]`):
            The passages titles to be encoded. This can be a string or a list of strings if there are several passages.
        texts (`str` or `List[str]`):
            The passages texts to be encoded. This can be a string or a list of strings if there are several passages.
        padding (`bool`, `str` or [`~utils.PaddingStrategy`], *optional*, defaults to `False`):
            Activates and controls padding. Accepts the following values:

            - `True` or `'longest'`: Pad to the longest sequence in the batch (or no padding if only a single sequence
              if provided).
            - `'max_length'`: Pad to a maximum length specified with the argument `max_length` or to the maximum
              acceptable input length for the model if that argument is not provided.
            - `False` or `'do_not_pad'` (default): No padding (i.e., can output a batch with sequences of different
              lengths).
        truncation (`bool`, `str` or [`~tokenization_utils_base.TruncationStrategy`], *optional*, defaults to `False`):
            Activates and controls truncation. Accepts the following values:

            - `True` or `'longest_first'`: Truncate to a maximum length specified with the argument `max_length` or to
              the maximum acceptable input length for the model if that argument is not provided. This will truncate
              token by token, removing a token from the longest sequence in the pair if a pair of sequences (or a batch
              of pairs) is provided.
            - `'only_first'`: Truncate to a maximum length specified with the argument `max_length` or to the maximum
              acceptable input length for the model if that argument is not provided. This will only truncate the first
              sequence of a pair if a pair of sequences (or a batch of pairs) is provided.
            - `'only_second'`: Truncate to a maximum length specified with the argument `max_length` or to the maximum
              acceptable input length for the model if that argument is not provided. This will only truncate the
              second sequence of a pair if a pair of sequences (or a batch of pairs) is provided.
            - `False` or `'do_not_truncate'` (default): No truncation (i.e., can output batch with sequence lengths
              greater than the model maximum admissible input size).
        max_length (`int`, *optional*):
                Controls the maximum length to use by one of the truncation/padding parameters.

                If left unset or set to `None`, this will use the predefined model maximum length if a maximum length
                is required by one of the truncation/padding parameters. If the model has no specific maximum input
                length (like XLNet) truncation/padding to a maximum length will be deactivated.
        return_tensors (`str` or [`~utils.TensorType`], *optional*):
                If set, will return tensors instead of list of python integers. Acceptable values are:

                - `'tf'`: Return TensorFlow `tf.constant` objects.
                - `'pt'`: Return PyTorch `torch.Tensor` objects.
                - `'np'`: Return Numpy `np.ndarray` objects.
        return_attention_mask (`bool`, *optional*):
            Whether or not to return the attention mask. If not set, will return the attention mask according to the
            specific tokenizer's default, defined by the `return_outputs` attribute.

            [What are attention masks?](../glossary#attention-mask)

    Return:
        `Dict[str, List[List[int]]]`: A dictionary with the following keys:

        - `input_ids`: List of token ids to be fed to a model.
        - `attention_mask`: List of indices specifying which tokens should be attended to by the model.
    """




@add_start_docstrings(UpperCAmelCase__ )
class 							lowerCAmelCase__				:






      '''simple docstring'''

      def __call__(						self     :  List[Any]						,	lowercase_     :  List[str]						,	lowercase_     :  Optional[str] = None						,	lowercase_     :  Optional[str] = None						,	lowercase_     :  Union[bool, str] = False						,	lowercase_     :  Union[bool, str] = False						,	lowercase_     :  Optional[int] = None						,	lowercase_     :  Optional[Union[str, TensorType]] = None						,	lowercase_     :  Optional[bool] = None						,	**lowercase_     :  Optional[Any]						,	):




          '''simple docstring'''


          if titles is None and texts is None:
              return super().__call__(
                  lowercase_						,	padding=lowercase_						,	truncation=lowercase_						,	max_length=lowercase_						,	return_tensors=lowercase_						,	return_attention_mask=lowercase_						,	**lowercase_						,	)
          elif titles is None or texts is None:
              SCREAMING_SNAKE_CASE_      :  List[Any]    						=		titles if texts is None else texts
              return super().__call__(
                  lowercase_						,	lowercase_						,	padding=lowercase_						,	truncation=lowercase_						,	max_length=lowercase_						,	return_tensors=lowercase_						,	return_attention_mask=lowercase_						,	**lowercase_						,	)
          SCREAMING_SNAKE_CASE_      :  Any    						=		titles if not isinstance(lowercase_						,	lowercase_) else [titles]
          SCREAMING_SNAKE_CASE_      :  Union[str, Any]    						=		texts if not isinstance(lowercase_						,	lowercase_) else [texts]
          SCREAMING_SNAKE_CASE_      :  Any    						=		len(lowercase_)
          SCREAMING_SNAKE_CASE_      :  Dict    						=		questions if not isinstance(lowercase_						,	lowercase_) else [questions] * n_passages
          assert len(lowercase_) == len(
              lowercase_), F'There should be as many titles than texts but got {len(lowercase_)} titles and {len(lowercase_)} texts.'
          SCREAMING_SNAKE_CASE_      :  List[str]    						=		super().__call__(lowercase_						,	lowercase_						,	padding=lowercase_						,	truncation=lowercase_)['''input_ids''']
          SCREAMING_SNAKE_CASE_      :  Tuple    						=		super().__call__(lowercase_						,	add_special_tokens=lowercase_						,	padding=lowercase_						,	truncation=lowercase_)['''input_ids''']
          SCREAMING_SNAKE_CASE_      :  Dict    						=		{
              '''input_ids''': [
                  (encoded_question_and_title + encoded_text)[:max_length]
                  if max_length is not None and truncation
                  else encoded_question_and_title + encoded_text
                  for encoded_question_and_title, encoded_text in zip(lowercase_						,	lowercase_)
              ]
          }
          if return_attention_mask is not False:
              SCREAMING_SNAKE_CASE_      :  List[str]    						=		[]
              for input_ids in encoded_inputs["input_ids"]:
                  attention_mask.append([int(input_id != self.pad_token_id) for input_id in input_ids])
              SCREAMING_SNAKE_CASE_      :  int    						=		attention_mask
          return self.pad(lowercase_						,	padding=lowercase_						,	max_length=lowercase_						,	return_tensors=lowercase_)
      def _SCREAMING_SNAKE_CASE (						self     :  Tuple						,	lowercase_     :  BatchEncoding						,	lowercase_     :  DPRReaderOutput						,	lowercase_     :  int = 16						,	lowercase_     :  int = 64						,	lowercase_     :  int = 4						,	):




          '''simple docstring'''


          SCREAMING_SNAKE_CASE_      :  Optional[int]    						=		reader_input['''input_ids''']
          SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_      :  Optional[int]    						=		reader_output[:3]
          SCREAMING_SNAKE_CASE_      :  List[Any]    						=		len(lowercase_)
          SCREAMING_SNAKE_CASE_      :  Tuple    						=		sorted(range(lowercase_)						,	reverse=lowercase_						,	key=relevance_logits.__getitem__)
          SCREAMING_SNAKE_CASE_      :  List[DPRReaderOutput]    						=		[]
          for doc_id in sorted_docs:
              SCREAMING_SNAKE_CASE_      :  str    						=		list(input_ids[doc_id])
              # assuming question & title information is at the beginning of the sequence
              SCREAMING_SNAKE_CASE_      :  Optional[int]    						=		sequence_ids.index(self.sep_token_id						,	2) + 1  # second sep id
              if sequence_ids[-1] == self.pad_token_id:
                  SCREAMING_SNAKE_CASE_      :  str    						=		sequence_ids.index(self.pad_token_id)
              else:
                  SCREAMING_SNAKE_CASE_      :  List[str]    						=		len(lowercase_)

              SCREAMING_SNAKE_CASE_      :  int    						=		self._get_best_spans(
                  start_logits=start_logits[doc_id][passage_offset:sequence_len]						,	end_logits=end_logits[doc_id][passage_offset:sequence_len]						,	max_answer_length=lowercase_						,	top_spans=lowercase_						,	)
              for start_index, end_index in best_spans:
                  start_index += passage_offset
                  end_index += passage_offset
                  nbest_spans_predictions.append(
                      DPRSpanPrediction(
                          span_score=start_logits[doc_id][start_index] + end_logits[doc_id][end_index]						,	relevance_score=relevance_logits[doc_id]						,	doc_id=lowercase_						,	start_index=lowercase_						,	end_index=lowercase_						,	text=self.decode(sequence_ids[start_index : end_index + 1])						,	))
              if len(lowercase_) >= num_spans:
                  break
          return nbest_spans_predictions[:num_spans]



      def _SCREAMING_SNAKE_CASE (						self     :  Dict						,	lowercase_     :  List[int]						,	lowercase_     :  List[int]						,	lowercase_     :  int						,	lowercase_     :  int						,	):




          '''simple docstring'''


          SCREAMING_SNAKE_CASE_      :  Union[str, Any]    						=		[]
          for start_index, start_score in enumerate(lowercase_):
              for answer_length, end_score in enumerate(end_logits[start_index : start_index + max_answer_length]):
                  scores.append(((start_index, start_index + answer_length), start_score + end_score))
          SCREAMING_SNAKE_CASE_      :  List[str]    						=		sorted(lowercase_						,	key=lambda lowercase_: x[1]						,	reverse=lowercase_)
          SCREAMING_SNAKE_CASE_      :  Optional[int]    						=		[]
          for (start_index, end_index), score in scores:
              assert start_index <= end_index, F'Wrong span indices: [{start_index}:{end_index}]'
              SCREAMING_SNAKE_CASE_      :  List[str]    						=		end_index - start_index + 1
              assert length <= max_answer_length, F'Span is too long: {length} > {max_answer_length}'
              if any(
                  start_index <= prev_start_index <= prev_end_index <= end_index
                  or prev_start_index <= start_index <= end_index <= prev_end_index
                  for (prev_start_index, prev_end_index) in chosen_span_intervals):
                  continue
              chosen_span_intervals.append((start_index, end_index))

              if len(lowercase_) == top_spans:
                  break
          return chosen_span_intervals




@add_end_docstrings(UpperCAmelCase__ )
class 							lowerCAmelCase__				(			UpperCAmelCase__				,		UpperCAmelCase__ ):






      '''simple docstring'''

      __UpperCamelCase	 =  VOCAB_FILES_NAMES
      __UpperCamelCase	 =  READER_PRETRAINED_VOCAB_FILES_MAP
      __UpperCamelCase	 =  READER_PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
      __UpperCamelCase	 =  READER_PRETRAINED_INIT_CONFIGURATION
      __UpperCamelCase	 =  ["input_ids", "attention_mask"]
      __UpperCamelCase	 =  DPRReaderTokenizer










"""simple docstring"""






from math import factorial



def 					_A			(__a = 20							) ->       int:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_      :  Dict    						=		2 * n  # middle entry of odd rows starting at row 3 is the solution for n = 1,
    # 2, 3,...
    SCREAMING_SNAKE_CASE_      :  List[str]    						=		n // 2

    return int(factorial(__a							) / (factorial(__a							) * factorial(n - k							))							)


if __name__ == "__main__":
  import sys

  if len(sys.argv) == 1:
    print(solution(20))
  else:
    try:
      UpperCAmelCase_   : List[str]   			= int(sys.argv[1])
      print(solution(n))
    except ValueError:
      print("""Invalid entry - please enter a number.""")


