


from typing import List

import numpy as np




def    snake_case_     (  snake_case     )  ->				int:
       lowercase__:   Union[str, Any]  			=   {key: len(lowercase__     ) for key, value in gen_kwargs.items() if isinstance(lowercase__			,							lowercase__     )}
       if len(set(lists_lengths.values()     )     ) > 1:
              raise RuntimeError(
                  (
                      'Sharding is ambiguous for this dataset: '
                      + 'we found several data sources lists of different lengths, and we don\'t know over which list we should parallelize:\n'
                      + '\n'.join(f'\t- key {key} has length {length}' for key, length in lists_lengths.items()     )
                      + '\nTo fix this, check the \'gen_kwargs\' and make sure to use lists only for data sources, '
                      + 'and use tuples otherwise. In the end there should only be one single list, or several lists with the same length.'
                  )     )
       lowercase__:   int  			=   max(lists_lengths.values()			,							default=0     )
       return max(1			,							lowercase__     )




def    snake_case_     (  snake_case			,							snake_case     )  ->				List[range]:
       lowercase__:   Any  			=   []
       for group_idx in range(lowercase__     ):
              lowercase__:   Tuple  			=   num_shards // max_num_jobs + (group_idx < (num_shards % max_num_jobs))
              if num_shards_to_add == 0:
                     break
              lowercase__:   Dict  			=   shards_indices_per_group[-1].stop if shards_indices_per_group else 0
              lowercase__:   Any  			=   range(lowercase__			,							start + num_shards_to_add     )
              shards_indices_per_group.append(lowercase__     )
       return shards_indices_per_group




def    snake_case_     (  snake_case			,							snake_case     )  ->				List[dict]:
       lowercase__:   List[Any]  			=   _number_of_shards_in_gen_kwargs(lowercase__     )
       if num_shards == 1:
              return [dict(lowercase__     )]
       else:
              lowercase__:   Tuple  			=   _distribute_shards(num_shards=lowercase__			,							max_num_jobs=lowercase__     )
              return [
                  {
                      key: [value[shard_idx] for shard_idx in shard_indices_per_group[group_idx]]
                      if isinstance(lowercase__			,							lowercase__     )
                      else value
                      for key, value in gen_kwargs.items()
                  }
                  for group_idx in range(len(lowercase__     )     )
              ]




def    snake_case_     (  snake_case     )  ->				dict:
       return {
           key: [value for gen_kwargs in gen_kwargs_list for value in gen_kwargs[key]]
           if isinstance(gen_kwargs_list[0][key]			,							lowercase__     )
           else gen_kwargs_list[0][key]
           for key in gen_kwargs_list[0]
       }




def    snake_case_     (  snake_case			,							snake_case     )  ->				dict:
       lowercase__:   Union[str, Any]  			=   {len(lowercase__     ) for value in gen_kwargs.values() if isinstance(lowercase__			,							lowercase__     )}
       lowercase__:   List[Any]  			=   {}
       for size in list_sizes:
              lowercase__:   List[Any]  			=   list(range(lowercase__     )     )
              rng.shuffle(indices_per_size[size]     )
       # Now let's copy the gen_kwargs and shuffle the lists based on their sizes
       lowercase__:   str  			=   dict(lowercase__     )
       for key, value in shuffled_kwargs.items():
              if isinstance(lowercase__			,							lowercase__     ):
                     lowercase__:   str  			=   [value[i] for i in indices_per_size[len(lowercase__     )]]
       return shuffled_kwargs






from collections.abc import Sequence







def        _lowerCamelCase(	lowercase__   , lowercase__ = False	)						->	float:

		'''simple docstring'''







		if not arr:
				return 0

		__lowercase=			0 if allow_empty_subarrays else float('-inf'	)
		__lowercase=			0.0
		for num in arr:
				__lowercase=			max(0 if allow_empty_subarrays else num   , curr_sum + num	)
				__lowercase=			max(lowercase__   , lowercase__	)

		return max_sum


if __name__ == "__main__":
	from doctest import testmod

	testmod()

	lowerCAmelCase           =		[-2, 1, -3, 4, -1, 2, 1, -5, 4]
	print(F'{max_subarray_sum(nums) = }')






