



"""simple docstring"""






def 	snake_case_  (				A_ :		str,    A_ :		Union[str, Any],    A_ :		Union[str, Any],    A_ :		int						):


       '''simple docstring'''





       _lowerCamelCase						:    List[Any]         =			[False] * len(A_						)
       _lowerCamelCase						:    Optional[Any]         =			[]
       queue.append(A_						)
       _lowerCamelCase						:    Union[str, Any]         =			True

       while queue:
              _lowerCamelCase						:    Union[str, Any]         =			queue.pop(0						)
              for ind in range(len(graph[u]						)						):
                     if visited[ind] is False and graph[u][ind] > 0:
                            queue.append(A_						)
                            _lowerCamelCase						:    Any         =			True
                            _lowerCamelCase						:    List[str]         =			u

       return visited[t]






def 	snake_case_  (				A_ :		List[str],    A_ :		Tuple,    A_ :		str						):


       '''simple docstring'''





       _lowerCamelCase						:    Dict         =			[-1] * (len(A_						))
       _lowerCamelCase						:    List[Any]         =			0
       while bfs(A_,    A_,    A_,    A_						):
              _lowerCamelCase						:    List[Any]         =			float('''Inf'''						)
              _lowerCamelCase						:    Tuple         =			sink

              while s != source:
                     # Find the minimum value in select path
                     _lowerCamelCase						:    Dict         =			min(A_,    graph[parent[s]][s]						)
                     _lowerCamelCase						:    Tuple         =			parent[s]

              max_flow += path_flow
              _lowerCamelCase						:    str         =			sink

              while v != source:
                     _lowerCamelCase						:    Optional[Any]         =			parent[v]
                     graph[u][v] -= path_flow
                     graph[v][u] += path_flow
                     _lowerCamelCase						:    Union[str, Any]         =			parent[v]
       return max_flow


lowerCAmelCase__      =    [
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

lowerCAmelCase__   ,  lowerCAmelCase__      =    0, 5







print(ford_fulkerson(graph, source, sink))







"""simple docstring"""






import logging
import os
from typing import List, Tuple

import numpy as np
import psutil
import torch
import torch.distributed as dist

from transformers import RagRetriever


lowerCAmelCase__      =    logging.getLogger(__name__)






class 	__snake_case	(     _lowercase):




  def __init__(			self					:						Union[str, Any]						, __lowerCAmelCase					:						Optional[int]						, __lowerCAmelCase					:						Optional[Any]						, __lowerCAmelCase					:						List[str]						, __lowerCAmelCase					:						int=None		):






         """simple docstring"""






         super().__init__(
             __lowerCAmelCase						, question_encoder_tokenizer=__lowerCAmelCase						, generator_tokenizer=__lowerCAmelCase						, index=__lowerCAmelCase						, init_retrieval=__lowerCAmelCase						, )
         _lowerCamelCase						:    Dict         =			None




  def 						SCREAMING_SNAKE_CASE    (			self					:						Dict						, __lowerCAmelCase					:						int		):






         """simple docstring"""






         logger.info('''initializing retrieval'''		)

         # initializing a separate process group for retrieval as the default
         # nccl backend doesn't support gather/scatter operations while gloo
         # is too slow to replace nccl for the core gpu communication
         if dist.is_initialized():
                logger.info('''dist initialized'''		)
                # needs to be set manually
                _lowerCamelCase						:    List[str]         =			self._infer_socket_ifname()
                # avoid clash with the NCCL port
                _lowerCamelCase						:    Dict         =			str(distributed_port + 1		)
                _lowerCamelCase						:    str         =			dist.new_group(ranks=__lowerCAmelCase						, backend='''gloo'''		)

         # initialize retriever only on the main worker
         if not dist.is_initialized() or self._is_main():
                logger.info('''dist not initialized / main'''		)
                self.index.init_index()

         # all processes wait untill the retriever is initialized by the main process
         if dist.is_initialized():
                torch.distributed.barrier(group=self.process_group		)




  def 						SCREAMING_SNAKE_CASE    (			self					:						Optional[Any]		):






         """simple docstring"""






         return dist.get_rank(group=self.process_group		) == 0




  def 						SCREAMING_SNAKE_CASE    (			self					:						Union[str, Any]						, __lowerCAmelCase					:						Union[str, Any]						, __lowerCAmelCase					:						List[Any]						, __lowerCAmelCase					:						Tuple=torch.floataa		):






         """simple docstring"""






         _lowerCamelCase						:    Optional[Any]         =			torch.empty(__lowerCAmelCase						, dtype=__lowerCAmelCase		)
         dist.scatter(__lowerCAmelCase						, src=0						, scatter_list=__lowerCAmelCase						, group=self.process_group		)
         return target_tensor




  def 						SCREAMING_SNAKE_CASE    (			self					:						Any		):






         """simple docstring"""






         _lowerCamelCase						:    List[str]         =			psutil.net_if_addrs()
         # a hacky way to deal with varying network interface names
         _lowerCamelCase						:    str         =			next((addr for addr in addrs if addr.startswith('''e'''		))						, __lowerCAmelCase		)
         return ifname




  def 						SCREAMING_SNAKE_CASE    (			self					:						str						, __lowerCAmelCase					:						np.ndarray						, __lowerCAmelCase					:						int		):






         """simple docstring"""






         if not dist.is_initialized():
                _lowerCamelCase      ,   _lowerCamelCase						:    Any         =			self._main_retrieve(__lowerCAmelCase						, __lowerCAmelCase		)
                return retrieved_doc_embeds, doc_ids, self.index.get_doc_dicts(__lowerCAmelCase		)

         # distributed training
         _lowerCamelCase						:    Dict         =			dist.get_world_size(group=self.process_group		)

         # gather logic
         _lowerCamelCase						:    str         =			None
         if self._is_main():
                _lowerCamelCase						:    List[Any]         =			[torch.empty(question_hidden_states.shape						, dtype=torch.floataa		) for _ in range(__lowerCAmelCase		)]
         dist.gather(torch.tensor(__lowerCAmelCase		)						, dst=0						, gather_list=__lowerCAmelCase						, group=self.process_group		)

         # scatter logic
         _lowerCamelCase						:    int         =			question_hidden_states.shape[0]
         _lowerCamelCase						:    str         =			[]
         _lowerCamelCase						:    Optional[int]         =			[]
         if self._is_main():
                assert len(__lowerCAmelCase		) == world_size
                _lowerCamelCase      ,   _lowerCamelCase						:    Tuple         =			self._main_retrieve(torch.cat(__lowerCAmelCase		).numpy()						, __lowerCAmelCase		)
                _lowerCamelCase      ,   _lowerCamelCase						:    List[str]         =			torch.tensor(__lowerCAmelCase		), torch.tensor(__lowerCAmelCase		)
                _lowerCamelCase						:    List[Any]         =			self._chunk_tensor(__lowerCAmelCase						, __lowerCAmelCase		)
                _lowerCamelCase						:    Optional[Any]         =			self._chunk_tensor(__lowerCAmelCase						, __lowerCAmelCase		)
         _lowerCamelCase						:    int         =			self._scattered(__lowerCAmelCase						, [n_queries, n_docs]						, target_type=torch.intaa		)
         _lowerCamelCase						:    str         =			self._scattered(__lowerCAmelCase						, [n_queries, n_docs, question_hidden_states.shape[1]]		)

         return retrieved_doc_embeds.numpy(), doc_ids.numpy(), self.index.get_doc_dicts(__lowerCAmelCase		)


