






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__											=     object()

# For specifying empty leaf dict `{}`
SCREAMING_SNAKE_CASE__											=     object()







def 					lowercase__				(   __UpperCamelCase	,		__UpperCamelCase					)->				Optional[int]:
      UpperCamelCase       						=      tuple((re.compile(x + """$"""					) for x in qs)					)
      for i in range(len(__UpperCamelCase					) - len(__UpperCamelCase					) + 1					):
            UpperCamelCase       						=      [x.match(__UpperCamelCase					) for x, y in zip(__UpperCamelCase	,		ks[i:]					)]
            if matches and all(__UpperCamelCase					):
                  return True
      return False







def 					lowercase__				(   __UpperCamelCase					)->				Tuple:
      def replace(__UpperCamelCase	,		__UpperCamelCase					):
            for rule, replacement in rules:
                  if _match(__UpperCamelCase	,		__UpperCamelCase					):
                        return replacement
            return val

      return replace







def 					lowercase__				(   )->				Optional[int]:
      return [
          # embeddings
          (("transformer", "wpe", "embedding"), P("""mp"""	,		__UpperCamelCase					)),
          (("transformer", "wte", "embedding"), P("""mp"""	,		__UpperCamelCase					)),
          # atention
          (("attention", "(q_proj|k_proj|v_proj)", "kernel"), P(__UpperCamelCase	,		"""mp"""					)),
          (("attention", "out_proj", "kernel"), P("""mp"""	,		__UpperCamelCase					)),
          (("attention", "out_proj", "bias"), None),
          # mlp
          (("mlp", "c_fc", "kernel"), P(__UpperCamelCase	,		"""mp"""					)),
          (("mlp", "c_fc", "bias"), P("""mp"""					)),
          (("mlp", "c_proj", "kernel"), P("""mp"""	,		__UpperCamelCase					)),
          (("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 					lowercase__				(   __UpperCamelCase					)->				List[Any]:
      UpperCamelCase       						=      _get_partition_rules()
      UpperCamelCase       						=      _replacement_rules(__UpperCamelCase					)
      UpperCamelCase       						=      {k: _unmatched for k in flatten_dict(__UpperCamelCase					)}
      UpperCamelCase       						=      {k: replace(__UpperCamelCase	,		__UpperCamelCase					) for k, v in initd.items()}
      assert _unmatched not in result.values(), "Incomplete partition spec."
      return freeze(unflatten_dict(__UpperCamelCase					)					)








'''simple docstring'''

from __future__ import annotations







def 					lowercase__				(   __UpperCamelCase	,		__UpperCamelCase	,		__UpperCamelCase					)->				tuple[float, list[float]]:
      UpperCamelCase       						=      list(range(len(__UpperCamelCase					)					)					)
      UpperCamelCase       						=      [v / w for v, w in zip(__UpperCamelCase	,		__UpperCamelCase					)]
      index.sort(key=lambda __UpperCamelCase					: ratio[i]	,		reverse=__UpperCamelCase					)

      UpperCamelCase       						=      0
      UpperCamelCase       						=      [0] * len(__UpperCamelCase					)
      for i in index:
            if weight[i] <= capacity:
                  UpperCamelCase       						=      1
                  max_value += value[i]
                  capacity -= weight[i]
            else:
                  UpperCamelCase       						=      capacity / weight[i]
                  max_value += value[i] * capacity / weight[i]
                  break

      return max_value, fractions


if __name__ == "__main__":
     import doctest

     doctest.testmod()
