




# flake8: noqa
# Lint as: python3

from typing import Dict, List, Optional, Type

from .. import config
from ..utils import logging
from .formatting import (
    ArrowFormatter,
    CustomFormatter,
    Formatter,
    PandasFormatter,
    PythonFormatter,
    TensorFormatter,
    format_table,
    query_table,
)
from .np_formatter import NumpyFormatter


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

lowerCamelCase__			:       Dict[Optional[str], Type[Formatter]]         =							{}
lowerCamelCase__			:       Dict[Optional[str], str]         =							{}
lowerCamelCase__			:       Dict[Optional[str], Exception]         =							{}

def  UpperCAmelCase_							(				__UpperCAmelCase						:     type      ,      __UpperCAmelCase						:     Optional[str]      ,      __UpperCAmelCase						:     Optional[List[str]] = None      ,      ) ->			Union[str, Any]:
      SCREAMING_SNAKE_CASE_     						=      aliases if aliases is not None else []
      if format_type in _FORMAT_TYPES:
            logger.warning(
                f"Overwriting format type '{format_type}' ({_FORMAT_TYPES[format_type].__name__} -> {formatter_cls.__name__})"							)
      SCREAMING_SNAKE_CASE_     						=      formatter_cls
      for alias in set(aliases + [format_type]							):
            if alias in _FORMAT_TYPES_ALIASES:
                  logger.warning(
                      f"Overwriting format type alias '{alias}' ({_FORMAT_TYPES_ALIASES[alias]} -> {format_type})"							)
            SCREAMING_SNAKE_CASE_     						=      format_type

def  UpperCAmelCase_							(				__UpperCAmelCase						:     Exception      ,      __UpperCAmelCase						:     Optional[str]      ,      __UpperCAmelCase						:     Optional[List[str]] = None							) ->			Union[str, Any]:
      SCREAMING_SNAKE_CASE_     						=      aliases if aliases is not None else []
      for alias in set(aliases + [format_type]							):
            SCREAMING_SNAKE_CASE_     						=      unavailable_error


# Here we define all the available formatting functions that can be used by `Dataset.set_format`
_register_formatter(PythonFormatter, None, aliases=['python'])
_register_formatter(ArrowFormatter, 'arrow', aliases=['pa', 'pyarrow'])
_register_formatter(NumpyFormatter, 'numpy', aliases=['np'])
_register_formatter(PandasFormatter, 'pandas', aliases=['pd'])
_register_formatter(CustomFormatter, 'custom')

if config.TORCH_AVAILABLE:
   from .torch_formatter import TorchFormatter

   _register_formatter(TorchFormatter, 'torch', aliases=['pt', 'pytorch'])
else:
   lowerCamelCase__			:       Optional[int]         =							ValueError('PyTorch needs to be installed to be able to return PyTorch tensors.')
   _register_unavailable_formatter(_torch_error, 'torch', aliases=['pt', 'pytorch'])

if config.TF_AVAILABLE:
   from .tf_formatter import TFFormatter

   _register_formatter(TFFormatter, 'tensorflow', aliases=['tf'])
else:
   lowerCamelCase__			:       Dict         =							ValueError('Tensorflow needs to be installed to be able to return Tensorflow tensors.')
   _register_unavailable_formatter(_tf_error, 'tensorflow', aliases=['tf'])

if config.JAX_AVAILABLE:
   from .jax_formatter import JaxFormatter

   _register_formatter(JaxFormatter, 'jax', aliases=[])
else:
   lowerCamelCase__			:       Optional[Any]         =							ValueError('JAX needs to be installed to be able to return JAX arrays.')
   _register_unavailable_formatter(_jax_error, 'jax', aliases=[])

def  UpperCAmelCase_							(				__UpperCAmelCase						:     Optional[str]							) ->			Optional[str]:
      if format_type in _FORMAT_TYPES_ALIASES:
            return _FORMAT_TYPES_ALIASES[format_type]
      else:
            return format_type





def  UpperCAmelCase_							(				__UpperCAmelCase						:     Optional[str]      ,      **__UpperCAmelCase						:     Dict							) ->			Formatter:
      SCREAMING_SNAKE_CASE_     						=      get_format_type_from_alias(__UpperCAmelCase							)
      if format_type in _FORMAT_TYPES:
            return _FORMAT_TYPES[format_type](**__UpperCAmelCase							)
      if format_type in _FORMAT_TYPES_ALIASES_UNAVAILABLE:
            raise _FORMAT_TYPES_ALIASES_UNAVAILABLE[format_type]
      else:
            raise ValueError(
                f"Return type should be None or selected in {list(type for type in _FORMAT_TYPES.keys() if type != None							)}, but got '{format_type}'"							)





from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

lowerCamelCase__			:       Dict         =							TypeVar('T')

def  UpperCAmelCase_							(				__UpperCAmelCase						:     int							) ->			int:
      return (position - 1) // 2

def  UpperCAmelCase_							(				__UpperCAmelCase						:     int							) ->			int:
      return (2 * position) + 1

def  UpperCAmelCase_							(				__UpperCAmelCase						:     int							) ->			int:
      return (2 * position) + 2





class 	lowerCamelCase_							(				Generic[T] ):


 '''simple docstring'''







 def __init__(							self  :		Optional[Any]						):
       SCREAMING_SNAKE_CASE_     						=      []
       SCREAMING_SNAKE_CASE_     						=      {}
       SCREAMING_SNAKE_CASE_     						=      0



 def __len__(							self  :		Optional[Any]						):
       return self.elements



 def __repr__(							self  :		Optional[int]						):
       return str(self.heap						)



 def 				lowerCAmelCase_  (							self  :		Union[str, Any]						):
       # Check if the priority queue is empty
       return self.elements == 0



 def 				lowerCAmelCase_  (							self  :		Tuple    ,    _lowerCAmelCase  :		T    ,    _lowerCAmelCase  :		int						):
       # Add an element with given priority to the queue
       self.heap.append((elem, weight)						)
       SCREAMING_SNAKE_CASE_     						=      self.elements
       self.elements += 1
       self._bubble_up(_lowerCAmelCase						)



 def 				lowerCAmelCase_  (							self  :		Optional[int]						):
       # Remove and return the element with lowest weight (highest priority)
       if self.elements > 1:
             self._swap_nodes(0    ,    self.elements - 1						)
       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.heap.pop()
       del self.position_map[elem]
       self.elements -= 1
       if self.elements > 0:
             SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.heap[0]
             self._bubble_down(_lowerCAmelCase						)
       return elem



 def 				lowerCAmelCase_  (							self  :		Optional[int]    ,    _lowerCAmelCase  :		T    ,    _lowerCAmelCase  :		int						):
       # Update the weight of the given key
       SCREAMING_SNAKE_CASE_     						=      self.position_map[elem]
       SCREAMING_SNAKE_CASE_     						=      (elem, weight)
       if position > 0:
             SCREAMING_SNAKE_CASE_     						=      get_parent_position(_lowerCAmelCase						)
             SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.heap[parent_position]
             if parent_weight > weight:
                   self._bubble_up(_lowerCAmelCase						)
             else:
                   self._bubble_down(_lowerCAmelCase						)
       else:
             self._bubble_down(_lowerCAmelCase						)



 def 				lowerCAmelCase_  (							self  :		Union[str, Any]    ,    _lowerCAmelCase  :		T						):
       # Place a node at the proper position (upward movement) [to be used internally
       # only]
       SCREAMING_SNAKE_CASE_     						=      self.position_map[elem]
       if curr_pos == 0:
             return None
       SCREAMING_SNAKE_CASE_     						=      get_parent_position(_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.heap[curr_pos]
       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      self.heap[parent_position]
       if parent_weight > weight:
             self._swap_nodes(_lowerCAmelCase    ,    _lowerCAmelCase						)
             return self._bubble_up(_lowerCAmelCase						)
       return None



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




 def 				lowerCAmelCase_  (							self  :		Optional[Any]    ,    _lowerCAmelCase  :		int    ,    _lowerCAmelCase  :		int						):
       # Swap the nodes at the given positions
       SCREAMING_SNAKE_CASE_     						=      self.heap[nodea_pos][0]
       SCREAMING_SNAKE_CASE_     						=      self.heap[nodea_pos][0]
       SCREAMING_SNAKE_CASE_						,			SCREAMING_SNAKE_CASE_     						=      (
           self.heap[nodea_pos],
           self.heap[nodea_pos],
       )
       SCREAMING_SNAKE_CASE_     						=      nodea_pos
       SCREAMING_SNAKE_CASE_     						=      nodea_pos





class 	lowerCamelCase_							(				Generic[T] ):


 '''simple docstring'''







 def __init__(							self  :		Union[str, Any]						):
       SCREAMING_SNAKE_CASE_     						=      {}
       SCREAMING_SNAKE_CASE_     						=      0



 def __repr__(							self  :		Optional[int]						):
       return str(self.connections						)



 def __len__(							self  :		Tuple						):
       return self.nodes



 def 				lowerCAmelCase_  (							self  :		Dict    ,    _lowerCAmelCase  :		T						):
       # Add a node in the graph if it is not in the graph
       if node not in self.connections:
             SCREAMING_SNAKE_CASE_     						=      {}
             self.nodes += 1




 def 				lowerCAmelCase_  (							self  :		List[Any]    ,    _lowerCAmelCase  :		T    ,    _lowerCAmelCase  :		T    ,    _lowerCAmelCase  :		int						):
       # Add an edge between 2 nodes in the graph
       self.add_node(_lowerCAmelCase						)
       self.add_node(_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_     						=      weight
       SCREAMING_SNAKE_CASE_     						=      weight


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

      SCREAMING_SNAKE_CASE_     						=      MinPriorityQueue()
      for node, weight in dist.items():
            priority_queue.push(__UpperCAmelCase      ,      __UpperCAmelCase							)

      if priority_queue.is_empty():
            return dist, parent

      # initialization
      SCREAMING_SNAKE_CASE_     						=      priority_queue.extract_min()
      SCREAMING_SNAKE_CASE_     						=      0
      for neighbour in graph.connections[node]:
            if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
                  SCREAMING_SNAKE_CASE_     						=      dist[node] + graph.connections[node][neighbour]
                  priority_queue.update_key(__UpperCAmelCase      ,      dist[neighbour]							)
                  SCREAMING_SNAKE_CASE_     						=      node

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