




'''simple docstring'''







def 						snake_case_							(_a     :							int					):
    return n * (2 * n - 1)





def 						snake_case_							(_a     :							int					):
    UpperCAmelCase      	=		(1 + 2_4 * n) ** 0.5
    return ((1 + root) / 6) % 1 == 0





def 						snake_case_							(_a     :							int = 1_4_4					):
    UpperCAmelCase      	=		start
    UpperCAmelCase      	=		hexagonal_num(_a					)
    while not is_pentagonal(_a					):
        n += 1
        UpperCAmelCase      	=		hexagonal_num(_a					)
    return num


if __name__ == "__main__":
   print(f"""{solution()} = """)










'''simple docstring'''







import argparse
import collections
from pathlib import Path

import torch
from torch.serialization import default_restore_location

from transformers import BertConfig, DPRConfig, DPRContextEncoder, DPRQuestionEncoder, DPRReader


A			   =collections.namedtuple(
    'CheckpointState', ['model_dict', 'optimizer_dict', 'scheduler_dict', 'offset', 'epoch', 'encoder_params']
)





def 						snake_case_							(_a     :							str					):
    print(F"Reading saved model from {model_file}"					)
    UpperCAmelCase      	=		torch.load(_a   ,       map_location=lambda _a   ,       _a					: default_restore_location(_a   ,       '''cpu'''					)					)
    return CheckpointState(**_a					)


class       _a  :
       def __init__(     self						:     List[Any]       ,    lowercase						:     Path    ):



           '''simple docstring'''

           UpperCAmelCase      	=		src_file
       def    A				(     self						:     str    ):



           '''simple docstring'''

           raise NotImplementedError







       @staticmethod
       def    A				(     lowercase						:     str       ,    *lowercase						:     Tuple       ,    **lowercase						:     Union[str, Any]    ):



           '''simple docstring'''

           if comp_type.startswith('''c'''    ):
               return DPRContextEncoderState(*lowercase       ,    **lowercase    )
           if comp_type.startswith('''q'''    ):
               return DPRQuestionEncoderState(*lowercase       ,    **lowercase    )
           if comp_type.startswith('''r'''    ):
               return DPRReaderState(*lowercase       ,    **lowercase    )
           else:
               raise ValueError('''Component type must be either \'ctx_encoder\', \'question_encoder\' or \'reader\'.'''    )






class       _a  (     __a			):
       def    A				(     self						:     int    ):



           '''simple docstring'''

           UpperCAmelCase      	=		DPRContextEncoder(DPRConfig(**BertConfig.get_config_dict('''bert-base-uncased'''    )[0]    )    )
           print(f"Loading DPR biencoder from {self.src_file}"    )
           UpperCAmelCase      	=		load_states_from_checkpoint(self.src_file    )
           UpperCAmelCase	,					UpperCAmelCase      	=		model.ctx_encoder, '''ctx_model.'''
           # Fix changes from https://github.com/huggingface/transformers/commit/614fef1691edb806de976756d4948ecbcd0c0ca3
           UpperCAmelCase      	=		{'''bert_model.embeddings.position_ids''': model.ctx_encoder.bert_model.embeddings.position_ids}
           for key, value in saved_state.model_dict.items():
               if key.startswith(lowercase    ):
                   UpperCAmelCase      	=		key[len(lowercase    ) :]
                   if not key.startswith('''encode_proj.'''    ):
                       UpperCAmelCase      	=		'''bert_model.''' + key
                   UpperCAmelCase      	=		value
           encoder.load_state_dict(lowercase    )
           return model






class       _a  (     __a			):
       def    A				(     self						:     int    ):



           '''simple docstring'''

           UpperCAmelCase      	=		DPRQuestionEncoder(DPRConfig(**BertConfig.get_config_dict('''bert-base-uncased'''    )[0]    )    )
           print(f"Loading DPR biencoder from {self.src_file}"    )
           UpperCAmelCase      	=		load_states_from_checkpoint(self.src_file    )
           UpperCAmelCase	,					UpperCAmelCase      	=		model.question_encoder, '''question_model.'''
           # Fix changes from https://github.com/huggingface/transformers/commit/614fef1691edb806de976756d4948ecbcd0c0ca3
           UpperCAmelCase      	=		{'''bert_model.embeddings.position_ids''': model.question_encoder.bert_model.embeddings.position_ids}
           for key, value in saved_state.model_dict.items():
               if key.startswith(lowercase    ):
                   UpperCAmelCase      	=		key[len(lowercase    ) :]
                   if not key.startswith('''encode_proj.'''    ):
                       UpperCAmelCase      	=		'''bert_model.''' + key
                   UpperCAmelCase      	=		value
           encoder.load_state_dict(lowercase    )
           return model






class       _a  (     __a			):
       def    A				(     self						:     int    ):



           '''simple docstring'''

           UpperCAmelCase      	=		DPRReader(DPRConfig(**BertConfig.get_config_dict('''bert-base-uncased'''    )[0]    )    )
           print(f"Loading DPR reader from {self.src_file}"    )
           UpperCAmelCase      	=		load_states_from_checkpoint(self.src_file    )
           # Fix changes from https://github.com/huggingface/transformers/commit/614fef1691edb806de976756d4948ecbcd0c0ca3
           UpperCAmelCase      	=		{
               '''encoder.bert_model.embeddings.position_ids''': model.span_predictor.encoder.bert_model.embeddings.position_ids
           }
           for key, value in saved_state.model_dict.items():
               if key.startswith('''encoder.'''    ) and not key.startswith('''encoder.encode_proj'''    ):
                   UpperCAmelCase      	=		'''encoder.bert_model.''' + key[len('''encoder.'''    ) :]
               UpperCAmelCase      	=		value
           model.span_predictor.load_state_dict(lowercase    )
           return model






def 						snake_case_							(_a     :							str   ,       _a     :							Path   ,       _a     :							Path					):
    UpperCAmelCase      	=		Path(_a					)
    dest_dir.mkdir(exist_ok=_a					)

    UpperCAmelCase      	=		DPRState.from_type(_a   ,       src_file=_a					)
    UpperCAmelCase      	=		dpr_state.load_dpr_model()
    model.save_pretrained(_a					)
    model.from_pretrained(_a					)  # sanity check


if __name__ == "__main__":
   A			   =argparse.ArgumentParser()
   # Required parameters
   parser.add_argument(
       '--type', type=str, help='Type of the component to convert: \'ctx_encoder\', \'question_encoder\' or \'reader\'.'
   )
   parser.add_argument(
       '--src',
       type=str,
       help=(
           'Path to the dpr checkpoint file. They can be downloaded from the official DPR repo'
           ' https://github.com/facebookresearch/DPR. Note that in the official repo, both encoders are stored in the'
           ' \'retriever\' checkpoints.'
       ),
   )
   parser.add_argument('--dest', type=str, default=None, help='Path to the output PyTorch model directory.')
   A			   =parser.parse_args()

   A			   =Path(args.src)
   A			   =f"""converted-{src_file.name}""" if args.dest is None else args.dest
   A			   =Path(dest_dir)
   assert src_file.exists()
   assert (
       args.type is not None
   ), "Please specify the component type of the DPR model to convert: 'ctx_encoder', 'question_encoder' or 'reader'."
   convert(args.type, src_file, dest_dir)




