
"""simple docstring"""







class 			A__	:

		def __init__(				self	,		_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE			):
			__lowerCAmelCase      :						Tuple						      =				name
			__lowerCAmelCase      :						List[Any]						      =				val

		def __str__(				self			):
			return f"{self.__class__.__name__}({self.name}, {self.val})"







		def __lt__(				self	,		_SCREAMING_SNAKE_CASE			):
			return self.val < other.val




class 			A__	:

		def __init__(				self	,		_SCREAMING_SNAKE_CASE			):
			__lowerCAmelCase      :						int						      =				{}
			__lowerCAmelCase      :						int						      =				{}
			__lowerCAmelCase      :						Tuple						      =				self.build_heap(_SCREAMING_SNAKE_CASE			)

		def __getitem__(				self	,		_SCREAMING_SNAKE_CASE			):
			return self.get_value(_SCREAMING_SNAKE_CASE			)

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			return (idx - 1) // 2

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			return idx * 2 + 1

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			return idx * 2 + 2

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			return self.heap_dict[key]

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			__lowerCAmelCase      :						Optional[Any]						      =				len(_SCREAMING_SNAKE_CASE			) - 1
			__lowerCAmelCase      :						Any						      =				self.get_parent_idx(_SCREAMING_SNAKE_CASE			)

			for idx, i in enumerate(_SCREAMING_SNAKE_CASE			):
				__lowerCAmelCase      :						List[str]						      =				idx
				__lowerCAmelCase      :						Optional[int]						      =				i.val

			for i in range(_SCREAMING_SNAKE_CASE	,		-1	,		-1			):
				self.sift_down(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE			)
			return array

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE			):
			while True:
				__lowerCAmelCase      :						Optional[Any]						      =				self.get_left_child_idx(_SCREAMING_SNAKE_CASE			)  # noqa: E741
				__lowerCAmelCase      :						Union[str, Any]						      =				self.get_right_child_idx(_SCREAMING_SNAKE_CASE			)

				__lowerCAmelCase      :						int						      =				idx
				if l < len(_SCREAMING_SNAKE_CASE			) and array[l] < array[idx]:
					__lowerCAmelCase      :						Dict						      =				l
				if r < len(_SCREAMING_SNAKE_CASE			) and array[r] < array[smallest]:
					__lowerCAmelCase      :						str						      =				r

				if smallest != idx:
					__lowerCAmelCase      :						List[str]						      =				array[smallest], array[idx]
					(
					    __lowerCAmelCase       
					)      :						Dict						      =				(
					    self.idx_of_element[array[smallest]],
					    self.idx_of_element[array[idx]],
					)
					__lowerCAmelCase      :						Tuple						      =				smallest
				else:
					break

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			__lowerCAmelCase      :						Optional[int]						      =				self.get_parent_idx(_SCREAMING_SNAKE_CASE			)
			while p >= 0 and self.heap[p] > self.heap[idx]:
				__lowerCAmelCase      :						Optional[Any]						      =				self.heap[idx], self.heap[p]
				__lowerCAmelCase      :						List[Any]						      =				(
				    self.idx_of_element[self.heap[idx]],
				    self.idx_of_element[self.heap[p]],
				)
				__lowerCAmelCase      :						str						      =				p
				__lowerCAmelCase      :						Tuple						      =				self.get_parent_idx(_SCREAMING_SNAKE_CASE			)

		def 							__lowerCamelCase							(				self			):
			return self.heap[0]

		def 							__lowerCamelCase							(				self			):
			__lowerCAmelCase      :						str						      =				self.heap[-1], self.heap[0]
			__lowerCAmelCase      :						Union[str, Any]						      =				(
			    self.idx_of_element[self.heap[-1]],
			    self.idx_of_element[self.heap[0]],
			)

			__lowerCAmelCase      :						Optional[int]						      =				self.heap.pop()
			del self.idx_of_element[x]
			self.sift_down(0	,		self.heap			)
			return x

		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE			):
			self.heap.append(_SCREAMING_SNAKE_CASE			)
			__lowerCAmelCase      :						Tuple						      =				len(self.heap			) - 1
			__lowerCAmelCase      :						Optional[int]						      =				node.val
			self.sift_up(len(self.heap			) - 1			)

		def 							__lowerCamelCase							(				self			):
			return len(self.heap			) == 0







		def 							__lowerCamelCase							(				self	,		_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE			):
			assert (
			    self.heap[self.idx_of_element[node]].val > new_value
			), "newValue must be less that current value"
			__lowerCAmelCase      :						Optional[Any]						      =				new_value
			__lowerCAmelCase      :						Dict						      =				new_value
			self.sift_up(self.idx_of_element[node]			)



lowerCamelCase__        =		Node("""R""", -1)
lowerCamelCase__        =		Node("""B""", 6)
lowerCamelCase__        =		Node("""A""", 3)
lowerCamelCase__        =		Node("""X""", 1)
lowerCamelCase__        =		Node("""E""", 4)

# Use one of these two ways to generate Min-Heap

# Generating Min-Heap from array
lowerCamelCase__        =		MinHeap([r, b, a, x, e])

# Generating Min-Heap by Insert method
# myMinHeap.insert(a)
# myMinHeap.insert(b)
# myMinHeap.insert(x)
# myMinHeap.insert(r)
# myMinHeap.insert(e)

# Before
print("""Min Heap - before decrease key""")
for i in my_min_heap.heap:
							print(i)

print("""Min Heap - After decrease key of node [B -> -17]""")
my_min_heap.decrease_key(b, -17)

# After
for i in my_min_heap.heap:
							print(i)

if __name__ == "__main__":
							import doctest

							doctest.testmod()

"""simple docstring"""







# 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__        =		logging.get_logger(__name__)

lowerCamelCase__        =		{}
lowerCamelCase__        =		{}
lowerCamelCase__        =		{}
def    __lowerCAmelCase    (_UpperCamelCase	,  _UpperCamelCase	,  _UpperCamelCase = None	,  ):
	__lowerCAmelCase      :						Union[str, Any]						      =				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__})"		)
	__lowerCAmelCase      :						str						      =				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})"		)
		__lowerCAmelCase      :						Any						      =				format_type
def    __lowerCAmelCase    (_UpperCamelCase	,  _UpperCamelCase	,  _UpperCamelCase = None		):
	__lowerCAmelCase      :						int						      =				aliases if aliases is not None else []
	for alias in set(aliases + [format_type]		):
		__lowerCAmelCase      :						str						      =				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__        =		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__        =		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__        =		ValueError("""JAX needs to be installed to be able to return JAX arrays.""")
							_register_unavailable_formatter(_jax_error, """jax""", aliases=[])
def    __lowerCAmelCase    (_UpperCamelCase		):
	if format_type in _FORMAT_TYPES_ALIASES:
		return _FORMAT_TYPES_ALIASES[format_type]
	else:
		return format_type
def    __lowerCAmelCase    (_UpperCamelCase	,  **_UpperCamelCase		):
	__lowerCAmelCase      :						Any						      =				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}'"		)