





from math import ceil


def 		_SCREAMING_SNAKE_CASE     ( lowerCAmelCase__							,lowerCAmelCase__						):
		lowerCamelCase_	:     List[str] 						=      list(range(0							,__lowercase						)						)

		lowerCamelCase_	:     Optional[Any] 						=      [item for sublist in list(device_map.values()						) for item in sublist]

		# Duplicate check
		lowerCamelCase_	:     List[Any] 						=      []
		for i in device_map_blocks:
				if device_map_blocks.count(__lowercase						) > 1 and i not in duplicate_blocks:
						duplicate_blocks.append(__lowercase						)
    # Missing blocks
		lowerCamelCase_	:     Dict 						=      [i for i in blocks if i not in device_map_blocks]
		lowerCamelCase_	:     Optional[int] 						=      [i for i in device_map_blocks if i not in blocks]

		if len(__lowercase						) != 0:
				raise ValueError(
				    'Duplicate attention blocks specified in device_map. Attention blocks must be specified to one device.'
				    ' These attention blocks were specified more than once: ' + str(__lowercase						)						)
		if len(__lowercase						) != 0:
				raise ValueError(
				    'There are attention blocks for this model that are not specified in the device_map. Add these attention '
				    'blocks to a device on the device_map: ' + str(__lowercase						)						)
		if len(__lowercase						) != 0:
				raise ValueError(
				    'The device_map contains more attention blocks than this model has. Remove these from the device_map:'
				    + str(__lowercase						)						)





def 		_SCREAMING_SNAKE_CASE     ( lowerCAmelCase__							,lowerCAmelCase__						):
		lowerCamelCase_	:     List[str] 						=      list(range(__lowercase						)						)
		lowerCamelCase_	:     List[Any] 						=      int(ceil(n_layers / len(__lowercase						)						)						)
		lowerCamelCase_	:     Dict 						=      [layers[i : i + n_blocks] for i in range(0							,__lowercase							,__lowercase						)]

		return dict(zip(__lowercase							,__lowercase						)						)








from __future__ import annotations

from typing import Generic, TypeVar

__a   :							str						= TypeVar("T")


class    __lowercase   (						Generic[T]	):







     '''simple docstring'''




     def __init__(					self							:      Any			,						UpperCamelCase_							:      T					):


         """simple docstring"""



         __A       =						data
         __A       =						self
         __A       =						0


class    __lowercase   (						Generic[T]	):







     '''simple docstring'''




     def __init__(					self							:      Optional[Any]					):


         """simple docstring"""



         __A       =						{}




     def 		lowerCAmelCase_  (					self							:      Union[str, Any]			,						UpperCamelCase_							:      T					):


         """simple docstring"""



         __A       =						DisjointSetTreeNode(UpperCamelCase_					)




     def 		lowerCAmelCase_  (					self							:      List[Any]			,						UpperCamelCase_							:      T					):


         """simple docstring"""



         __A       =						self.map[data]
         if elem_ref != elem_ref.parent:
             __A       =						self.find_set(elem_ref.parent.data					)
         return elem_ref.parent




     def 		lowerCAmelCase_  (					self							:      int			,						UpperCamelCase_							:      DisjointSetTreeNode[T]			,						UpperCamelCase_							:      DisjointSetTreeNode[T]					):


         """simple docstring"""



         if nodea.rank > nodea.rank:
             __A       =						nodea
         else:
             __A       =						nodea
             if nodea.rank == nodea.rank:
                 nodea.rank += 1





     def 		lowerCAmelCase_  (					self							:      Tuple			,						UpperCamelCase_							:      T			,						UpperCamelCase_							:      T					):


         """simple docstring"""



         self.link(self.find_set(UpperCamelCase_					)			,						self.find_set(UpperCamelCase_					)					)


class    __lowercase   (						Generic[T]	):







     '''simple docstring'''




     def __init__(					self							:      Optional[int]					):


         """simple docstring"""



         __A       =						{}




     def 		lowerCAmelCase_  (					self							:      int			,						UpperCamelCase_							:      T					):


         """simple docstring"""



         if node not in self.connections:
             __A       =						{}




     def 		lowerCAmelCase_  (					self							:      Dict			,						UpperCamelCase_							:      T			,						UpperCamelCase_							:      T			,						UpperCamelCase_							:      int					):


         """simple docstring"""



         self.add_node(UpperCamelCase_					)
         self.add_node(UpperCamelCase_					)
         __A       =						weight
         __A       =						weight





     def 		lowerCAmelCase_  (					self							:      Dict					):


         """simple docstring"""



         __A       =						[]
         __A       =						set()
         for start in self.connections:
             for end in self.connections[start]:
                 if (start, end) not in seen:
                     seen.add((end, start)					)
                     edges.append((start, end, self.connections[start][end])					)
         edges.sort(key=lambda UpperCamelCase_					: x[2]					)

         # creating the disjoint set
         __A       =						DisjointSetTree[T]()
         for node in self.connections:
             disjoint_set.make_set(UpperCamelCase_					)

         # MST generation
         __A       =						0
         __A       =						0
         __A       =						GraphUndirectedWeighted[T]()
         while num_edges < len(self.connections					) - 1:
             __A     ,						__A     ,						__A       =						edges[index]
             index += 1
             __A       =						disjoint_set.find_set(UpperCamelCase_					)
             __A       =						disjoint_set.find_set(UpperCamelCase_					)
             if parent_u != parent_v:
                 num_edges += 1
                 graph.add_edge(UpperCamelCase_			,						UpperCamelCase_			,						UpperCamelCase_					)
                 disjoint_set.union(UpperCamelCase_			,						UpperCamelCase_					)
         return graph




