


'''simple docstring'''

import random






def __UpperCamelCase   (			__lowerCamelCase		: Union[str, Any]      ,  __lowerCamelCase		: List[Any]      ,  __lowerCamelCase		: Dict				)      ->     int:







     '''simple docstring'''






     _a						=		a[left_index]
     _a						=		left_index + 1
     for j in range(left_index + 1      ,  __lowerCamelCase				):
          if a[j] < pivot:
               _a			,			_a						=		a[i], a[j]
               i += 1
     _a			,			_a						=		a[i - 1], a[left_index]
     return i - 1






def __UpperCamelCase   (			__lowerCamelCase		: Tuple      ,  __lowerCamelCase		: List[str]      ,  __lowerCamelCase		: Optional[int]				)      ->     int:







     '''simple docstring'''






     if left < right:
          _a						=		random.randint(__lowerCamelCase      ,  right - 1				)
          _a			,			_a						=		(
              a[left],
              a[pivot],
          )  # switches the pivot with the left most bound
          _a						=		partition(__lowerCamelCase      ,  __lowerCamelCase      ,  __lowerCamelCase				)
          quick_sort_random(
              __lowerCamelCase      ,  __lowerCamelCase      ,  __lowerCamelCase				)  # recursive quicksort to the left of the pivot point
          quick_sort_random(
              __lowerCamelCase      ,  pivot_index + 1      ,  __lowerCamelCase				)  # recursive quicksort to the right of the pivot point






def __UpperCamelCase   (			)      ->     List[str]:







     '''simple docstring'''






     _a						=		input("Enter numbers separated by a comma:\n"				).strip()
     _a						=		[int(__lowerCamelCase				) for item in user_input.split(","				)]

     quick_sort_random(__lowerCamelCase      ,  0      ,  len(__lowerCamelCase				)				)

     print(__lowerCamelCase				)


if __name__ == "__main__":
   main()





'''simple docstring'''

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
lowercase__				     =		object()

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






def __UpperCamelCase   (			__lowerCamelCase		: Tuple      ,  __lowerCamelCase		: Tuple				)      ->     Union[str, Any]:







     '''simple docstring'''






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






def __UpperCamelCase   (			__lowerCamelCase		: int				)      ->     Union[str, Any]:







     '''simple docstring'''






     def replace(__lowerCamelCase		: Tuple      ,  __lowerCamelCase		: Any				):
          for rule, replacement in rules:
               if _match(__lowerCamelCase      ,  __lowerCamelCase				):
                    return replacement
          return val

     return replace






def __UpperCamelCase   (			)      ->     Tuple:







     '''simple docstring'''






     return [
         # embeddings
         (("transformer", "wpe", "embedding"), P("mp"      ,  __lowerCamelCase				)),
         (("transformer", "wte", "embedding"), P("mp"      ,  __lowerCamelCase				)),
         # atention
         (("attention", "(q_proj|k_proj|v_proj)", "kernel"), P(__lowerCamelCase      ,  "mp"				)),
         (("attention", "out_proj", "kernel"), P("mp"      ,  __lowerCamelCase				)),
         (("attention", "out_proj", "bias"), None),
         # mlp
         (("mlp", "c_fc", "kernel"), P(__lowerCamelCase      ,  "mp"				)),
         (("mlp", "c_fc", "bias"), P("mp"				)),
         (("mlp", "c_proj", "kernel"), P("mp"      ,  __lowerCamelCase				)),
         (("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   (			__lowerCamelCase		: Dict				)      ->     Tuple:







     '''simple docstring'''






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

