


from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

_UpperCAmelCase			:  Dict     =TypeVar("""T""")



def 			lowerCAmelCase (		lowerCAmelCase_ )-> int:
				return (position - 1) // 2



def 			lowerCAmelCase (		lowerCAmelCase_ )-> int:
				return (2 * position) + 1



def 			lowerCAmelCase (		lowerCAmelCase_ )-> int:
				return (2 * position) + 2







class 				snake_case__(							Generic[T]							):







						'''simple docstring'''




						def __init__(				self							)					->    None:
										lowerCAmelCase_ :      list[tuple[T, int]]    				=				[]
										lowerCAmelCase_ :      dict[T, int]    				=				{}
										lowerCAmelCase_ :      int    				=				0




						def __len__(				self							)					->    int:
										return self.elements




						def __repr__(				self							)					->    str:
										return str(self.heap							)




						def 						lowercase_ (				self							)					->    bool:
										# Check if the priority queue is empty
										return self.elements == 0




						def 						lowercase_ (				self   ,						__lowercase   ,						__lowercase							)					->    None:
										# Add an element with given priority to the queue
										self.heap.append((elem, weight)							)
										lowerCAmelCase_ :      Any    				=				self.elements
										self.elements += 1
										self._bubble_up(__lowercase							)




						def 						lowercase_ (				self							)					->    T:
										# Remove and return the element with lowest weight (highest priority)
										if self.elements > 1:
														self._swap_nodes(0   ,						self.elements - 1							)
										lowerCAmelCase_				,  lowerCAmelCase_ :      Any    				=				self.heap.pop()
										del self.position_map[elem]
										self.elements -= 1
										if self.elements > 0:
														lowerCAmelCase_				,  lowerCAmelCase_ :      str    				=				self.heap[0]
														self._bubble_down(__lowercase							)
										return elem




						def 						lowercase_ (				self   ,						__lowercase   ,						__lowercase							)					->    None:
										# Update the weight of the given key
										lowerCAmelCase_ :      int    				=				self.position_map[elem]
										lowerCAmelCase_ :      List[str]    				=				(elem, weight)
										if position > 0:
														lowerCAmelCase_ :      List[Any]    				=				get_parent_position(__lowercase							)
														lowerCAmelCase_				,  lowerCAmelCase_ :      Dict    				=				self.heap[parent_position]
														if parent_weight > weight:
																		self._bubble_up(__lowercase							)
														else:
																		self._bubble_down(__lowercase							)
										else:
														self._bubble_down(__lowercase							)




						def 						lowercase_ (				self   ,						__lowercase							)					->    None:
										# Place a node at the proper position (upward movement) [to be used internally
										# only]
										lowerCAmelCase_ :      Optional[Any]    				=				self.position_map[elem]
										if curr_pos == 0:
														return None
										lowerCAmelCase_ :      List[Any]    				=				get_parent_position(__lowercase							)
										lowerCAmelCase_				,  lowerCAmelCase_ :      Optional[int]    				=				self.heap[curr_pos]
										lowerCAmelCase_				,  lowerCAmelCase_ :      Tuple    				=				self.heap[parent_position]
										if parent_weight > weight:
														self._swap_nodes(__lowercase   ,						__lowercase							)
														return self._bubble_up(__lowercase							)
										return None




						def 						lowercase_ (				self   ,						__lowercase							)					->    None:
										# Place a node at the proper position (downward movement) [to be used
										# internally only]
										lowerCAmelCase_ :      Union[str, Any]    				=				self.position_map[elem]
										lowerCAmelCase_				,  lowerCAmelCase_ :      List[Any]    				=				self.heap[curr_pos]
										lowerCAmelCase_ :      Union[str, Any]    				=				get_child_left_position(__lowercase							)
										lowerCAmelCase_ :      Tuple    				=				get_child_right_position(__lowercase							)
										if child_left_position < self.elements and child_right_position < self.elements:
														lowerCAmelCase_				,  lowerCAmelCase_ :      Union[str, Any]    				=				self.heap[child_left_position]
														lowerCAmelCase_				,  lowerCAmelCase_ :      Tuple    				=				self.heap[child_right_position]
														if child_right_weight < child_left_weight and child_right_weight < weight:
																		self._swap_nodes(__lowercase   ,						__lowercase							)
																		return self._bubble_down(__lowercase							)
										if child_left_position < self.elements:
														lowerCAmelCase_				,  lowerCAmelCase_ :      Dict    				=				self.heap[child_left_position]
														if child_left_weight < weight:
																		self._swap_nodes(__lowercase   ,						__lowercase							)
																		return self._bubble_down(__lowercase							)
										else:
														return None
										if child_right_position < self.elements:
														lowerCAmelCase_				,  lowerCAmelCase_ :      Union[str, Any]    				=				self.heap[child_right_position]
														if child_right_weight < weight:
																		self._swap_nodes(__lowercase   ,						__lowercase							)
																		return self._bubble_down(__lowercase							)
										return None




						def 						lowercase_ (				self   ,						__lowercase   ,						__lowercase							)					->    None:
										# Swap the nodes at the given positions
										lowerCAmelCase_ :      Dict    				=				self.heap[nodea_pos][0]
										lowerCAmelCase_ :      int    				=				self.heap[nodea_pos][0]
										lowerCAmelCase_				,  lowerCAmelCase_ :      Union[str, Any]    				=				(
										    self.heap[nodea_pos],
										    self.heap[nodea_pos],
										)
										lowerCAmelCase_ :      Tuple    				=				nodea_pos
										lowerCAmelCase_ :      List[Any]    				=				nodea_pos







class 				snake_case__(							Generic[T]							):







						'''simple docstring'''




						def __init__(				self							)					->    None:
										lowerCAmelCase_ :      dict[T, dict[T, int]]    				=				{}
										lowerCAmelCase_ :      int    				=				0




						def __repr__(				self							)					->    str:
										return str(self.connections							)




						def __len__(				self							)					->    int:
										return self.nodes




						def 						lowercase_ (				self   ,						__lowercase							)					->    None:
										# Add a node in the graph if it is not in the graph
										if node not in self.connections:
														lowerCAmelCase_ :      List[str]    				=				{}
														self.nodes += 1




						def 						lowercase_ (				self   ,						__lowercase   ,						__lowercase   ,						__lowercase							)					->    None:
										# Add an edge between 2 nodes in the graph
										self.add_node(__lowercase							)
										self.add_node(__lowercase							)
										lowerCAmelCase_ :      Any    				=				weight
										lowerCAmelCase_ :      str    				=				weight






def 			lowerCAmelCase (		lowerCAmelCase_ ,   )-> tuple[dict[T, int], dict[T, T | None]]:
				lowerCAmelCase_ :      dict[T, int]    				=				{node: maxsize for node in graph.connections}
				lowerCAmelCase_ :      dict[T, T | None]    				=				{node: None for node in graph.connections}

				lowerCAmelCase_ :      MinPriorityQueue[T]    				=				MinPriorityQueue()
				for node, weight in dist.items():
								priority_queue.push(lowerCAmelCase_ ,   lowerCAmelCase_ )

				if priority_queue.is_empty():
								return dist, parent

				# initialization
				lowerCAmelCase_ :      Optional[int]    				=				priority_queue.extract_min()
				lowerCAmelCase_ :      str    				=				0
				for neighbour in graph.connections[node]:
								if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
												lowerCAmelCase_ :      List[str]    				=				dist[node] + graph.connections[node][neighbour]
												priority_queue.update_key(lowerCAmelCase_ ,   dist[neighbour] )
												lowerCAmelCase_ :      Dict    				=				node

    # running prim's algorithm
				while not priority_queue.is_empty():
								lowerCAmelCase_ :      int    				=				priority_queue.extract_min()
								for neighbour in graph.connections[node]:
												if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
																lowerCAmelCase_ :      int    				=				dist[node] + graph.connections[node][neighbour]
																priority_queue.update_key(lowerCAmelCase_ ,   dist[neighbour] )
																lowerCAmelCase_ :      Optional[int]    				=				node
				return dist, parent



from ...configuration_utils import PretrainedConfig
from ...utils import logging


_UpperCAmelCase			:  Optional[int]     =logging.get_logger(__name__)

_UpperCAmelCase			:  Union[str, Any]     ={
    """abeja/gpt-neox-japanese-2.7b""": """https://huggingface.co/abeja/gpt-neox-japanese-2.7b/resolve/main/config.json""",
}







class 				snake_case__(							UpperCAmelCase__							):







						'''simple docstring'''




						SCREAMING_SNAKE_CASE__      :  str					=							"""gpt_neox_japanese"""




						def __init__(				self   ,						__lowercase=3_2_0_0_0   ,						__lowercase=2_5_6_0   ,						__lowercase=3_2   ,						__lowercase=3_2   ,						__lowercase=4   ,						__lowercase="gelu"   ,						__lowercase=1.00   ,						__lowercase=1_0_0_0_0   ,						__lowercase=2_0_4_8   ,						__lowercase=0.02   ,						__lowercase=1e-5   ,						__lowercase=True   ,						__lowercase=3_1_9_9_6   ,						__lowercase=3_1_9_9_9   ,						__lowercase=0.1   ,						__lowercase=0.0   ,						**__lowercase   ,						)					->    str:
										super().__init__(bos_token_id=__lowercase   ,						eos_token_id=__lowercase   ,						**__lowercase							)
										lowerCAmelCase_ :      Optional[Any]    				=				vocab_size
										lowerCAmelCase_ :      Tuple    				=				max_position_embeddings
										lowerCAmelCase_ :      Optional[Any]    				=				hidden_size
										lowerCAmelCase_ :      Optional[Any]    				=				num_hidden_layers
										lowerCAmelCase_ :      str    				=				num_attention_heads
										lowerCAmelCase_ :      str    				=				intermediate_multiple_size
										lowerCAmelCase_ :      str    				=				hidden_act
										lowerCAmelCase_ :      Dict    				=				rotary_pct
										lowerCAmelCase_ :      Union[str, Any]    				=				rotary_emb_base
										lowerCAmelCase_ :      int    				=				initializer_range
										lowerCAmelCase_ :      Any    				=				layer_norm_eps
										lowerCAmelCase_ :      Optional[Any]    				=				use_cache
										lowerCAmelCase_ :      Tuple    				=				attention_dropout
										lowerCAmelCase_ :      Dict    				=				hidden_dropout