
import re

from flax.core.frozen_dict import freeze
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.experimental import PartitionSpec as P


# Sentinels
SCREAMING_SNAKE_CASE				:Union[str, Any]									=							object()

# For specifying empty leaf dict `{}`
SCREAMING_SNAKE_CASE				:List[str]									=							object()


def 		UpperCAmelCase     (      a_						,  a_		)						->      Tuple:







				"""simple docstring"""



				__A       =					tuple((re.compile(x + "$"		) for x in qs)		)
				for i in range(len(a_		) - len(a_		) + 1		):
								__A       =					[x.match(a_		) for x, y in zip(a_						,  ks[i:]		)]
								if matches and all(a_		):
												return True
				return False


def 		UpperCAmelCase     (      a_		)						->      Optional[int]:







				"""simple docstring"""



				def replace(a_						,  a_		):
								for rule, replacement in rules:
												if _match(a_						,  a_		):
																return replacement
								return val

				return replace


def 		UpperCAmelCase     (      )						->      int:







				"""simple docstring"""



				return [
				    # embeddings
				    (("transformer", "wpe", "embedding"), P("mp"						,  a_		)),
				    (("transformer", "wte", "embedding"), P("mp"						,  a_		)),
				    # atention
				    (("attention", "(q_proj|k_proj|v_proj)", "kernel"), P(a_						,  "mp"		)),
				    (("attention", "out_proj", "kernel"), P("mp"						,  a_		)),
				    (("attention", "out_proj", "bias"), None),
				    # mlp
				    (("mlp", "c_fc", "kernel"), P(a_						,  "mp"		)),
				    (("mlp", "c_fc", "bias"), P("mp"		)),
				    (("mlp", "c_proj", "kernel"), P("mp"						,  a_		)),
				    (("mlp", "c_proj", "bias"), None),
				    # layer norms
				    ((r"ln_\d+", "bias"), None),
				    ((r"\d+", r"ln_\d+", "scale"), None),
				    (("ln_f", "bias"), None),
				    (("ln_f", "scale"), None),
				]


def 		UpperCAmelCase     (      a_		)						->      List[Any]:







				"""simple docstring"""



				__A       =					_get_partition_rules()
				__A       =					_replacement_rules(a_		)
				__A       =					{k: _unmatched for k in flatten_dict(a_		)}
				__A       =					{k: replace(a_						,  a_		) for k, v in initd.items()}
				assert _unmatched not in result.values(), "Incomplete partition spec."
				return freeze(unflatten_dict(a_		)		)






from bisect import bisect
from itertools import accumulate





def 						__A						(      __lowerCamelCase				,     __lowerCamelCase				,     __lowerCamelCase				,     __lowerCamelCase       ) ->			Dict:
	a									=				sorted(zip(__lowerCamelCase				,     __lowerCamelCase       )				,     key=lambda __lowerCamelCase       : x[0] / x[1]				,     reverse=__lowerCamelCase       )
	a							,					a									=				[i[0] for i in r], [i[1] for i in r]
	a									=				list(accumulate(__lowerCamelCase       )       )
	a									=				bisect(__lowerCamelCase				,     __lowerCamelCase       )
	return (
	    0
	    if k == 0
	    else sum(vl[:k]       ) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
	    if k != n
	    else sum(vl[:k]       )
	)


if __name__ == "__main__":
		import doctest

		doctest.testmod()

