
"""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 					_snake_case (						snake_case__      :   int		,					snake_case__      :   Optional[Any]   ):
	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 					_snake_case (						snake_case__      :   Optional[Any]   ):
	def replace(snake_case__      :   str		,					snake_case__      :   Union[str, Any]   ):
		for rule, replacement in rules:
			if _match(lowerCamelCase__		,					lowerCamelCase__   ):
				return replacement
		return val

	return replace






def 					_snake_case (						):
	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 					_snake_case (						snake_case__      :   List[Any]   ):
	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__   )   )

from collections import deque





def 			lowerCamelCase_ (				lowerCamelCase__    ):
				lowerCamelCase_						=			len(lowerCamelCase__    )
				lowerCamelCase_						=			deque()
				lowerCamelCase_						=			[False for _ in range(lowerCamelCase__    )]
				lowerCamelCase_						=			[-1 for _ in range(lowerCamelCase__    )]
				lowerCamelCase_						=			index_of[:]

				def strong_connect(lowerCamelCase__	, lowerCamelCase__	, lowerCamelCase__    ):
								lowerCamelCase_						=			index  # the number when this node is seen
								lowerCamelCase_						=			index  # lowest rank node reachable from here
								index += 1
								stack.append(lowerCamelCase__    )
								lowerCamelCase_						=			True

								for w in g[v]:
												if index_of[w] == -1:
																lowerCamelCase_						=			strong_connect(lowerCamelCase__	, lowerCamelCase__	, lowerCamelCase__    )
																lowerCamelCase_						=			(
																    lowlink_of[w] if lowlink_of[w] < lowlink_of[v] else lowlink_of[v]
																)
												elif on_stack[w]:
																lowerCamelCase_						=			(
																    lowlink_of[w] if lowlink_of[w] < lowlink_of[v] else lowlink_of[v]
																)

								if lowlink_of[v] == index_of[v]:
												lowerCamelCase_						=			[]
												lowerCamelCase_						=			stack.pop()
												lowerCamelCase_						=			False
												component.append(lowerCamelCase__    )
												while w != v:
																lowerCamelCase_						=			stack.pop()
																lowerCamelCase_						=			False
																component.append(lowerCamelCase__    )
												components.append(lowerCamelCase__    )
								return index

				lowerCamelCase_						=			[]
				for v in range(lowerCamelCase__    ):
								if index_of[v] == -1:
												strong_connect(lowerCamelCase__	, 0	, lowerCamelCase__    )

				return components





def 			lowerCamelCase_ (				lowerCamelCase__	, lowerCamelCase__    ):
				lowerCamelCase_						=			[[] for _ in range(lowerCamelCase__    )]
				for u, v in edges:
								g[u].append(lowerCamelCase__    )
				return g


if __name__ == "__main__":
			# Test
			__A				=7
			__A				=[0, 0, 1, 2, 3, 3, 4, 4, 6]
			__A				=[1, 3, 2, 0, 1, 4, 5, 6, 5]
			__A				=[(u, v) for u, v in zip(source, target)]
			__A				=create_graph(n_vertices, edges)

			assert [[5], [6], [4], [3, 2, 1, 0]] == tarjan(g)


