





class 					A_					:







       """simple docstring"""





       def __init__(     self						:						List[str]	)    ->       Any:
         _lowercase						    =			0
         _lowercase						    =			0
         _lowercase						    =			{}







       def  __UpperCAmelCase			(     self						:						Union[str, Any]    ,__A						:						Tuple	)    ->       Dict:
         if vertex not in self.adjacency:
           _lowercase						    =			{}
           self.num_vertices += 1







       def  __UpperCAmelCase			(     self						:						Dict    ,__A						:						List[Any]    ,__A						:						Tuple    ,__A						:						str	)    ->       Union[str, Any]:
         self.add_vertex(__A	)
         self.add_vertex(__A	)

         if head == tail:
           return

         _lowercase						    =			weight
         _lowercase						    =			weight







       def  __UpperCAmelCase			(     self						:						List[str]	)    ->       str:
         _lowercase						    =			self.get_edges()
         for edge in edges:
           _lowercase    ,		_lowercase    ,		_lowercase						    =			edge
           edges.remove((tail, head, weight)	)
         for i in range(len(__A	)	):
           _lowercase						    =			list(edges[i]	)

         edges.sort(key=lambda __A	: e[2]	)
         for i in range(len(__A	) - 1	):
           if edges[i][2] >= edges[i + 1][2]:
             _lowercase						    =			edges[i][2] + 1
         for edge in edges:
           _lowercase    ,		_lowercase    ,		_lowercase						    =			edge
           _lowercase						    =			weight
           _lowercase						    =			weight







       def __str__(     self						:						List[Any]	)    ->       Tuple:
         _lowercase						    =			''
         for tail in self.adjacency:
           for head in self.adjacency[tail]:
             _lowercase						    =			self.adjacency[head][tail]
             string += F"""{head} -> {tail} == {weight}\n"""
         return string.rstrip('\n'	)







       def  __UpperCAmelCase			(     self						:						Any	)    ->       Dict:
         _lowercase						    =			[]
         for tail in self.adjacency:
           for head in self.adjacency[tail]:
             output.append((tail, head, self.adjacency[head][tail])	)
         return output







       def  __UpperCAmelCase			(     self						:						Dict	)    ->       Union[str, Any]:
         return self.adjacency.keys()







       @staticmethod
       def  __UpperCAmelCase			(     __A						:						str=None    ,__A						:						Optional[int]=None	)    ->       int:
         _lowercase						    =			Graph()
         if vertices is None:
           _lowercase						    =			[]
         if edges is None:
           _lowercase						    =			[]
         for vertex in vertices:
           g.add_vertex(__A	)
         for edge in edges:
           g.add_edge(*__A	)
         return g





       class 					A_					:







              """simple docstring"""





              def __init__(     self						:						Any	)    ->       int:
                _lowercase						    =			{}
                _lowercase						    =			{}







              def __len__(     self						:						Optional[int]	)    ->       Optional[Any]:
                return len(self.parent	)







              def  __UpperCAmelCase			(     self						:						str    ,__A						:						List[str]	)    ->       Any:
                if item in self.parent:
                  return self.find(__A	)

                _lowercase						    =			item
                _lowercase						    =			0
                return item







              def  __UpperCAmelCase			(     self						:						List[Any]    ,__A						:						Dict	)    ->       List[str]:
                if item not in self.parent:
                  return self.make_set(__A	)
                if item != self.parent[item]:
                  _lowercase						    =			self.find(self.parent[item]	)
                return self.parent[item]







              def  __UpperCAmelCase			(     self						:						Optional[int]    ,__A						:						Optional[int]    ,__A						:						List[Any]	)    ->       Any:
                _lowercase						    =			self.find(__A	)
                _lowercase						    =			self.find(__A	)

                if roota == roota:
                  return roota

                if self.rank[roota] > self.rank[roota]:
                  _lowercase						    =			roota
                  return roota

                if self.rank[roota] < self.rank[roota]:
                  _lowercase						    =			roota
                  return roota

                if self.rank[roota] == self.rank[roota]:
                  self.rank[roota] += 1
                  _lowercase						    =			roota
                  return roota
                return None







       @staticmethod
       def  __UpperCAmelCase			(     __A						:						Union[str, Any]	)    ->       List[Any]:
         _lowercase						    =			graph.num_vertices

         _lowercase						    =			Graph.UnionFind()
         _lowercase						    =			[]
         while num_components > 1:
           _lowercase						    =			{}
           for vertex in graph.get_vertices():
             _lowercase						    =			-1

           _lowercase						    =			graph.get_edges()
           for edge in edges:
             _lowercase    ,		_lowercase    ,		_lowercase						    =			edge
             edges.remove((tail, head, weight)	)
           for edge in edges:
             _lowercase    ,		_lowercase    ,		_lowercase						    =			edge
             _lowercase						    =			union_find.find(__A	)
             _lowercase						    =			union_find.find(__A	)
             if seta != seta:
               if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
                 _lowercase						    =			[head, tail, weight]

               if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
                 _lowercase						    =			[head, tail, weight]
           for vertex in cheap_edge:
             if cheap_edge[vertex] != -1:
               _lowercase    ,		_lowercase    ,		_lowercase						    =			cheap_edge[vertex]
               if union_find.find(__A	) != union_find.find(__A	):
                 union_find.union(__A    ,__A	)
                 mst_edges.append(cheap_edge[vertex]	)
                 _lowercase						    =			num_components - 1
         _lowercase						    =			Graph.build(edges=__A	)
         return mst







import re

import jax.numpy as jnp
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.random import PRNGKey

from ..utils import logging


UpperCamelCase    							=      logging.get_logger(__name__)


def 				__lowerCamelCase     (							__lowerCAmelCase							:					Tuple							)     ->  List[str]:
   __UpperCamelCase	:			List[str]					=					R"""\w+[.]\d+"""
   __UpperCamelCase	:			Optional[int]					=					re.findall(__lowerCAmelCase					,							__lowerCAmelCase							)
   for pat in pats:
      __UpperCamelCase	:			str					=					key.replace(__lowerCAmelCase					,							"""_""".join(pat.split("""."""							)							)							)
   return key


def 				__lowerCamelCase     (							__lowerCAmelCase							:					int					,							__lowerCAmelCase							:					Optional[int]					,							__lowerCAmelCase							:					Union[str, Any]							)     ->  str:
   __UpperCamelCase	:			Dict					=					pt_tuple_key[:-1] + ("""scale""",)
   if (
       any("""norm""" in str_ for str_ in pt_tuple_key							)
       and (pt_tuple_key[-1] == "bias")
       and (pt_tuple_key[:-1] + ("bias",) not in random_flax_state_dict)
       and (pt_tuple_key[:-1] + ("scale",) in random_flax_state_dict)
   ):
      __UpperCamelCase	:			List[Any]					=					pt_tuple_key[:-1] + ("""scale""",)
      return renamed_pt_tuple_key, pt_tensor
   elif pt_tuple_key[-1] in ["weight", "gamma"] and pt_tuple_key[:-1] + ("scale",) in random_flax_state_dict:
      __UpperCamelCase	:			Dict					=					pt_tuple_key[:-1] + ("""scale""",)
      return renamed_pt_tuple_key, pt_tensor

   # embedding
   if pt_tuple_key[-1] == "weight" and pt_tuple_key[:-1] + ("embedding",) in random_flax_state_dict:
      __UpperCamelCase	:			Any					=					pt_tuple_key[:-1] + ("""embedding""",)
      return renamed_pt_tuple_key, pt_tensor

   # conv layer
   __UpperCamelCase	:			List[Any]					=					pt_tuple_key[:-1] + ("""kernel""",)
   if pt_tuple_key[-1] == "weight" and pt_tensor.ndim == 4:
      __UpperCamelCase	:			Dict					=					pt_tensor.transpose(2					,							3					,							1					,							0							)
      return renamed_pt_tuple_key, pt_tensor

   # linear layer
   __UpperCamelCase	:			Union[str, Any]					=					pt_tuple_key[:-1] + ("""kernel""",)
   if pt_tuple_key[-1] == "weight":
      __UpperCamelCase	:			int					=					pt_tensor.T
      return renamed_pt_tuple_key, pt_tensor

   # old PyTorch layer norm weight
   __UpperCamelCase	:			List[Any]					=					pt_tuple_key[:-1] + ("""weight""",)
   if pt_tuple_key[-1] == "gamma":
      return renamed_pt_tuple_key, pt_tensor

   # old PyTorch layer norm bias
   __UpperCamelCase	:			Tuple					=					pt_tuple_key[:-1] + ("""bias""",)
   if pt_tuple_key[-1] == "beta":
      return renamed_pt_tuple_key, pt_tensor

   return pt_tuple_key, pt_tensor



def 				__lowerCamelCase     (							__lowerCAmelCase							:					Dict					,							__lowerCAmelCase							:					List[Any]					,							__lowerCAmelCase							:					Optional[int]=42							)     ->  int:
   # Step 1: Convert pytorch tensor to numpy
   __UpperCamelCase	:			Dict					=					{k: v.numpy() for k, v in pt_state_dict.items()}

   # Step 2: Since the model is stateless, get random Flax params
   __UpperCamelCase	:			str					=					flax_model.init_weights(PRNGKey(__lowerCAmelCase							)							)

   __UpperCamelCase	:			Union[str, Any]					=					flatten_dict(__lowerCAmelCase							)
   __UpperCamelCase	:			List[str]					=					{}

   # Need to change some parameters name to match Flax names
   for pt_key, pt_tensor in pt_state_dict.items():
      __UpperCamelCase	:			str					=					rename_key(__lowerCAmelCase							)
      __UpperCamelCase	:			Any					=					tuple(renamed_pt_key.split("""."""							)							)

      # Correctly rename weight parameters
      __UpperCamelCase	,     __UpperCamelCase	:			Tuple					=					rename_key_and_reshape_tensor(__lowerCAmelCase					,							__lowerCAmelCase					,							__lowerCAmelCase							)

      if flax_key in random_flax_state_dict:
         if flax_tensor.shape != random_flax_state_dict[flax_key].shape:
            raise ValueError(
                f'PyTorch checkpoint seems to be incorrect. Weight {pt_key} was expected to be of shape '
                f'{random_flax_state_dict[flax_key].shape}, but is {flax_tensor.shape}.'							)

        # also add unexpected weight so that warning is thrown
      __UpperCamelCase	:			Any					=					jnp.asarray(__lowerCAmelCase							)

   return unflatten_dict(__lowerCAmelCase							)



