


'''simple docstring'''






from math import ceil






def 		_A			(lowerCAmelCase__					:List[Any]			,  lowerCAmelCase__					:Optional[Any]						)				->					Tuple:




     '''simple docstring'''



     _a      =							list(range(0			,  lowerCAmelCase__						)						)

     _a      =							[item for sublist in list(device_map.values()						) for item in sublist]

     # Duplicate check
     _a      =							[]
     for i in device_map_blocks:
          if device_map_blocks.count(lowerCAmelCase__						) > 1 and i not in duplicate_blocks:
               duplicate_blocks.append(lowerCAmelCase__						)
    # Missing blocks
     _a      =							[i for i in blocks if i not in device_map_blocks]
     _a      =							[i for i in device_map_blocks if i not in blocks]

     if len(lowerCAmelCase__						) != 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(lowerCAmelCase__						)						)
     if len(lowerCAmelCase__						) != 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(lowerCAmelCase__						)						)
     if len(lowerCAmelCase__						) != 0:
          raise ValueError(
              'The device_map contains more attention blocks than this model has. Remove these from the device_map:'
              + str(lowerCAmelCase__						)						)






def 		_A			(lowerCAmelCase__					:Union[str, Any]			,  lowerCAmelCase__					:int						)				->					Dict:




     '''simple docstring'''



     _a      =							list(range(lowerCAmelCase__						)						)
     _a      =							int(ceil(n_layers / len(lowerCAmelCase__						)						)						)
     _a      =							[layers[i : i + n_blocks] for i in range(0			,  lowerCAmelCase__			,  lowerCAmelCase__						)]

     return dict(zip(lowerCAmelCase__			,  lowerCAmelCase__						)						)





'''simple docstring'''






from __future__ import annotations






def 		_A			(lowerCAmelCase__					:int						)				->					list[int]:




     '''simple docstring'''



     _a      =							2
     _a      =							[]
     while i * i <= n:
          if n % i:
               i += 1
          else:
               n //= i
               factors.append(lowerCAmelCase__						)
     if n > 1:
          factors.append(lowerCAmelCase__						)
     return factors


if __name__ == "__main__":
 import doctest

 doctest.testmod()

