



"""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
__A   :							List[str]										=   object()

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







def  lowercase	(      _SCREAMING_SNAKE_CASE   :						Union[str, Any]					,     _SCREAMING_SNAKE_CASE   :						Union[str, Any]				):






    '''simple docstring'''



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







def  lowercase	(      _SCREAMING_SNAKE_CASE   :						Union[str, Any]				):






    '''simple docstring'''



    def replace(_SCREAMING_SNAKE_CASE   :						Union[str, Any]					,     _SCREAMING_SNAKE_CASE   :						Union[str, Any]				):
        for rule, replacement in rules:
            if _match(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				):
                return replacement
        return val

    return replace







def  lowercase	(      ):






    '''simple docstring'''



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






    '''simple docstring'''



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








"""simple docstring"""


import functools







def  lowercase	(      _SCREAMING_SNAKE_CASE   :						list[int]					,     _SCREAMING_SNAKE_CASE   :						list[int]				):






				'''simple docstring'''



				if not isinstance(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				) or not all(isinstance(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				) for day in days				):
								raise ValueError('''The parameter days should be a list of integers'''				)

				if len(_SCREAMING_SNAKE_CASE				) != 3 or not all(isinstance(_SCREAMING_SNAKE_CASE					,     _SCREAMING_SNAKE_CASE				) for cost in costs				):
								raise ValueError('''The parameter costs should be a list of three integers'''				)

				if len(_SCREAMING_SNAKE_CASE				) == 0:
								return 0

				if min(_SCREAMING_SNAKE_CASE				) <= 0:
								raise ValueError('''All days elements should be greater than 0'''				)

				if max(_SCREAMING_SNAKE_CASE				) >= 366:
								raise ValueError('''All days elements should be less than 366'''				)

				_UpperCAmelCase					=    set(_SCREAMING_SNAKE_CASE				)

				@functools.cache
				def dynamic_programming(_SCREAMING_SNAKE_CASE   :						int				) -> int:
								if index > 365:
												return 0

								if index not in days_set:
												return dynamic_programming(index + 1				)

								return min(
								    costs[0] + dynamic_programming(index + 1				)					,     costs[1] + dynamic_programming(index + 7				)					,     costs[2] + dynamic_programming(index + 30				)					,     )

				return dynamic_programming(1				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()



