





class 		lowerCamelCase  :







							"""simple docstring"""




							def __init__(   self      :	List[Any],					_UpperCAmelCase      :	List[Any],					_UpperCAmelCase      :	Optional[int]		) ->					List[Any]:





														"""simple docstring"""
														SCREAMING_SNAKE_CASE__  :     Optional[Any]           =		name
														SCREAMING_SNAKE_CASE__  :     Optional[int]           =		val






							def __str__(   self      :	List[Any]		) ->					Optional[int]:





														"""simple docstring"""
														return F'''{self.__class__.__name__}({self.name}, {self.val})'''






							def __lt__(   self      :	List[Any],					_UpperCAmelCase      :	int		) ->					Union[str, Any]:





														"""simple docstring"""
														return self.val < other.val


class 		lowerCamelCase  :







							"""simple docstring"""




							def __init__(   self      :	int,					_UpperCAmelCase      :	str		) ->					str:





														"""simple docstring"""
														SCREAMING_SNAKE_CASE__  :     int           =		{}
														SCREAMING_SNAKE_CASE__  :     Optional[int]           =		{}
														SCREAMING_SNAKE_CASE__  :     Tuple           =		self.build_heap(__a		)






							def __getitem__(   self      :	List[str],					_UpperCAmelCase      :	Tuple		) ->					Union[str, Any]:





														"""simple docstring"""
														return self.get_value(__a		)






							def    A_      (   self      :	Union[str, Any],					_UpperCAmelCase      :	Dict		) ->					Union[str, Any]:





														"""simple docstring"""
														return (idx - 1) // 2






							def    A_      (   self      :	Optional[Any],					_UpperCAmelCase      :	Optional[Any]		) ->					Any:





														"""simple docstring"""
														return idx * 2 + 1






							def    A_      (   self      :	Any,					_UpperCAmelCase      :	str		) ->					int:





														"""simple docstring"""
														return idx * 2 + 2






							def    A_      (   self      :	int,					_UpperCAmelCase      :	int		) ->					Tuple:





														"""simple docstring"""
														return self.heap_dict[key]






							def    A_      (   self      :	Any,					_UpperCAmelCase      :	Tuple		) ->					Tuple:





														"""simple docstring"""
														SCREAMING_SNAKE_CASE__  :     Union[str, Any]           =		len(__a		) - 1
														SCREAMING_SNAKE_CASE__  :     str           =		self.get_parent_idx(__a		)

														for idx, i in enumerate(__a		):
																					SCREAMING_SNAKE_CASE__  :     Optional[Any]           =		idx
																					SCREAMING_SNAKE_CASE__  :     str           =		i.val

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






							def    A_      (   self      :	Union[str, Any],					_UpperCAmelCase      :	Union[str, Any],					_UpperCAmelCase      :	List[Any]		) ->					int:





														"""simple docstring"""
														while True:
																					SCREAMING_SNAKE_CASE__  :     int           =		self.get_left_child_idx(__a		)  # noqa: E741
																					SCREAMING_SNAKE_CASE__  :     Tuple           =		self.get_right_child_idx(__a		)

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

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






							def    A_      (   self      :	int,					_UpperCAmelCase      :	Optional[int]		) ->					Tuple:





														"""simple docstring"""
														SCREAMING_SNAKE_CASE__  :     Optional[Any]           =		self.get_parent_idx(__a		)
														while p >= 0 and self.heap[p] > self.heap[idx]:
																					SCREAMING_SNAKE_CASE__       ,SCREAMING_SNAKE_CASE__  :     Optional[int]           =		self.heap[idx], self.heap[p]
																					SCREAMING_SNAKE_CASE__       ,SCREAMING_SNAKE_CASE__  :     Dict           =		(
																					    self.idx_of_element[self.heap[idx]],
																					    self.idx_of_element[self.heap[p]],
																					)
																					SCREAMING_SNAKE_CASE__  :     Any           =		p
																					SCREAMING_SNAKE_CASE__  :     Tuple           =		self.get_parent_idx(__a		)






							def    A_      (   self      :	List[Any]		) ->					Union[str, Any]:





														"""simple docstring"""
														return self.heap[0]






							def    A_      (   self      :	Optional[Any]		) ->					List[Any]:





														"""simple docstring"""
														SCREAMING_SNAKE_CASE__       ,SCREAMING_SNAKE_CASE__  :     Optional[Any]           =		self.heap[-1], self.heap[0]
														SCREAMING_SNAKE_CASE__       ,SCREAMING_SNAKE_CASE__  :     Tuple           =		(
														    self.idx_of_element[self.heap[-1]],
														    self.idx_of_element[self.heap[0]],
														)

														SCREAMING_SNAKE_CASE__  :     List[Any]           =		self.heap.pop()
														del self.idx_of_element[x]
														self.sift_down(0,					self.heap		)
														return x






							def    A_      (   self      :	Any,					_UpperCAmelCase      :	List[Any]		) ->					Tuple:





														"""simple docstring"""
														self.heap.append(__a		)
														SCREAMING_SNAKE_CASE__  :     int           =		len(self.heap		) - 1
														SCREAMING_SNAKE_CASE__  :     Optional[Any]           =		node.val
														self.sift_up(len(self.heap		) - 1		)






							def    A_      (   self      :	Optional[int]		) ->					Optional[int]:





														"""simple docstring"""
														return len(self.heap		) == 0






							def    A_      (   self      :	Dict,					_UpperCAmelCase      :	Optional[Any],					_UpperCAmelCase      :	int		) ->					List[Any]:





														"""simple docstring"""
														assert (
														    self.heap[self.idx_of_element[node]].val > new_value
														), "newValue must be less that current value"
														SCREAMING_SNAKE_CASE__  :     Tuple           =		new_value
														SCREAMING_SNAKE_CASE__  :     List[Any]           =		new_value
														self.sift_up(self.idx_of_element[node]		)


_lowerCamelCase   :							str    				=   Node('''R''', -1)
_lowerCamelCase   :							Optional[int]    				=   Node('''B''', 6)
_lowerCamelCase   :							int    				=   Node('''A''', 3)
_lowerCamelCase   :							str    				=   Node('''X''', 1)
_lowerCamelCase   :							List[Any]    				=   Node('''E''', 4)

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

# Generating Min-Heap from array
_lowerCamelCase   :							Dict    				=   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, -1_7)

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

if __name__ == "__main__":
		import doctest

		doctest.testmod()








"""simple docstring"""





# Imports
import numpy as np






class        _UpperCAmelCase:



		def __init__(   self							,						__a=None							,						__a=None							,						__a=None							,						__a=None							,						__a=None)			->			Dict:






							'''simple docstring'''
							self.set_matricies(red=__a							,						green=__a							,						blue=__a							,						red_edge=__a							,						nir=__a)



		def 		UpperCAmelCase				(   self							,						__a=None							,						__a=None							,						__a=None							,						__a=None							,						__a=None)			->			Dict:






							'''simple docstring'''
							if red is not None:
												_UpperCamelCase									=    red
							if green is not None:
												_UpperCamelCase									=    green
							if blue is not None:
												_UpperCamelCase									=    blue
							if red_edge is not None:
												_UpperCamelCase									=    red_edge
							if nir is not None:
												_UpperCamelCase									=    nir
							return True



		def 		UpperCAmelCase				(   self							,						__a=""							,						__a=None							,						__a=None							,						__a=None							,						__a=None							,						__a=None)			->			List[str]:






							'''simple docstring'''
							self.set_matricies(red=__a							,						green=__a							,						blue=__a							,						red_edge=__a							,						nir=__a)
							_UpperCamelCase									=    {
							    '''ARVI2''': self.arvaa,
							    '''CCCI''': self.ccci,
							    '''CVI''': self.cvi,
							    '''GLI''': self.gli,
							    '''NDVI''': self.ndvi,
							    '''BNDVI''': self.bndvi,
							    '''redEdgeNDVI''': self.red_edge_ndvi,
							    '''GNDVI''': self.gndvi,
							    '''GBNDVI''': self.gbndvi,
							    '''GRNDVI''': self.grndvi,
							    '''RBNDVI''': self.rbndvi,
							    '''PNDVI''': self.pndvi,
							    '''ATSAVI''': self.atsavi,
							    '''BWDRVI''': self.bwdrvi,
							    '''CIgreen''': self.ci_green,
							    '''CIrededge''': self.ci_rededge,
							    '''CI''': self.ci,
							    '''CTVI''': self.ctvi,
							    '''GDVI''': self.gdvi,
							    '''EVI''': self.evi,
							    '''GEMI''': self.gemi,
							    '''GOSAVI''': self.gosavi,
							    '''GSAVI''': self.gsavi,
							    '''Hue''': self.hue,
							    '''IVI''': self.ivi,
							    '''IPVI''': self.ipvi,
							    '''I''': self.i,
							    '''RVI''': self.rvi,
							    '''MRVI''': self.mrvi,
							    '''MSAVI''': self.m_savi,
							    '''NormG''': self.norm_g,
							    '''NormNIR''': self.norm_nir,
							    '''NormR''': self.norm_r,
							    '''NGRDI''': self.ngrdi,
							    '''RI''': self.ri,
							    '''S''': self.s,
							    '''IF''': self._if,
							    '''DVI''': self.dvi,
							    '''TVI''': self.tvi,
							    '''NDRE''': self.ndre,
							}

							try:
												return funcs[index]()
							except KeyError:
												print('''Index not in the list!''')
												return False



		def 		UpperCAmelCase				(   self)			->			List[Any]:






							'''simple docstring'''
							return -0.18 + (1.17 * ((self.nir - self.red) / (self.nir + self.red)))



		def 		UpperCAmelCase				(   self)			->			Any:






							'''simple docstring'''
							return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
							    (self.nir - self.red) / (self.nir + self.red)
							)



		def 		UpperCAmelCase				(   self)			->			Optional[int]:






							'''simple docstring'''
							return self.nir * (self.red / (self.green**2))



		def 		UpperCAmelCase				(   self)			->			str:






							'''simple docstring'''
							return (2 * self.green - self.red - self.blue) / (
							    2 * self.green + self.red + self.blue
							)



		def 		UpperCAmelCase				(   self)			->			List[str]:






							'''simple docstring'''
							return (self.nir - self.red) / (self.nir + self.red)



		def 		UpperCAmelCase				(   self)			->			str:






							'''simple docstring'''
							return (self.nir - self.blue) / (self.nir + self.blue)



		def 		UpperCAmelCase				(   self)			->			List[Any]:






							'''simple docstring'''
							return (self.redEdge - self.red) / (self.redEdge + self.red)



		def 		UpperCAmelCase				(   self)			->			Optional[int]:






							'''simple docstring'''
							return (self.nir - self.green) / (self.nir + self.green)



		def 		UpperCAmelCase				(   self)			->			Optional[Any]:






							'''simple docstring'''
							return (self.nir - (self.green + self.blue)) / (
							    self.nir + (self.green + self.blue)
							)



		def 		UpperCAmelCase				(   self)			->			Tuple:






							'''simple docstring'''
							return (self.nir - (self.green + self.red)) / (
							    self.nir + (self.green + self.red)
							)



		def 		UpperCAmelCase				(   self)			->			List[Any]:






							'''simple docstring'''
							return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))



		def 		UpperCAmelCase				(   self)			->			List[str]:






							'''simple docstring'''
							return (self.nir - (self.green + self.red + self.blue)) / (
							    self.nir + (self.green + self.red + self.blue)
							)



		def 		UpperCAmelCase				(   self							,						__a=0.08							,						__a=1.22							,						__a=0.03)			->			Optional[Any]:






							'''simple docstring'''
							return a * (
							    (self.nir - a * self.red - b)
							    / (a * self.nir + self.red - a * b + x * (1 + a**2))
							)



		def 		UpperCAmelCase				(   self)			->			Dict:






							'''simple docstring'''
							return (0.1 * self.nir - self.blue) / (0.1 * self.nir + self.blue)



		def 		UpperCAmelCase				(   self)			->			List[str]:






							'''simple docstring'''
							return (self.nir / self.green) - 1



		def 		UpperCAmelCase				(   self)			->			List[Any]:






							'''simple docstring'''
							return (self.nir / self.redEdge) - 1



		def 		UpperCAmelCase				(   self)			->			Union[str, Any]:






							'''simple docstring'''
							return (self.red - self.blue) / self.red



		def 		UpperCAmelCase				(   self)			->			Optional[int]:






							'''simple docstring'''
							_UpperCamelCase									=    self.ndvi()
							return ((ndvi + 0.5) / (abs(ndvi + 0.5))) * (abs(ndvi + 0.5) ** (1 / 2))



		def 		UpperCAmelCase				(   self)			->			Optional[int]:






							'''simple docstring'''
							return self.nir - self.green



		def 		UpperCAmelCase				(   self)			->			List[str]:






							'''simple docstring'''
							return 2.5 * (
							    (self.nir - self.red) / (self.nir + 6 * self.red - 7.5 * self.blue + 1)
							)



		def 		UpperCAmelCase				(   self)			->			Tuple:






							'''simple docstring'''
							_UpperCamelCase									=    (2 * (self.nir**2 - self.red**2) + 1.5 * self.nir + 0.5 * self.red) / (
							    self.nir + self.red + 0.5
							)
							return n * (1 - 0.25 * n) - (self.red - 0.125) / (1 - self.red)



		def 		UpperCAmelCase				(   self							,						__a=0.16)			->			Optional[Any]:






							'''simple docstring'''
							return (self.nir - self.green) / (self.nir + self.green + y)



		def 		UpperCAmelCase				(   self							,						__a=0.5)			->			Dict:






							'''simple docstring'''
							return ((self.nir - self.green) / (self.nir + self.green + n)) * (1 + n)



		def 		UpperCAmelCase				(   self)			->			Dict:






							'''simple docstring'''
							return np.arctan(
							    ((2 * self.red - self.green - self.blue) / 30.5) * (self.green - self.blue))



		def 		UpperCAmelCase				(   self							,						__a=None							,						__a=None)			->			Any:






							'''simple docstring'''
							return (self.nir - b) / (a * self.red)



		def 		UpperCAmelCase				(   self)			->			Optional[Any]:






							'''simple docstring'''
							return (self.nir / ((self.nir + self.red) / 2)) * (self.ndvi() + 1)



		def 		UpperCAmelCase				(   self)			->			Optional[Any]:






							'''simple docstring'''
							return (self.red + self.green + self.blue) / 30.5



		def 		UpperCAmelCase				(   self)			->			Any:






							'''simple docstring'''
							return self.nir / self.red



		def 		UpperCAmelCase				(   self)			->			Tuple:






							'''simple docstring'''
							return (self.rvi() - 1) / (self.rvi() + 1)



		def 		UpperCAmelCase				(   self)			->			List[Any]:






							'''simple docstring'''
							return (
							    (2 * self.nir + 1)
							    - ((2 * self.nir + 1) ** 2 - 8 * (self.nir - self.red)) ** (1 / 2)
							) / 2



		def 		UpperCAmelCase				(   self)			->			Optional[int]:






							'''simple docstring'''
							return self.green / (self.nir + self.red + self.green)



		def 		UpperCAmelCase				(   self)			->			str:






							'''simple docstring'''
							return self.nir / (self.nir + self.red + self.green)



		def 		UpperCAmelCase				(   self)			->			Optional[int]:






							'''simple docstring'''
							return self.red / (self.nir + self.red + self.green)



		def 		UpperCAmelCase				(   self)			->			Tuple:






							'''simple docstring'''
							return (self.green - self.red) / (self.green + self.red)



		def 		UpperCAmelCase				(   self)			->			Dict:






							'''simple docstring'''
							return (self.red - self.green) / (self.red + self.green)



		def 		UpperCAmelCase				(   self)			->			Any:






							'''simple docstring'''
							_UpperCamelCase									=    np.max([np.max(self.red), np.max(self.green), np.max(self.blue)])
							_UpperCamelCase									=    np.min([np.min(self.red), np.min(self.green), np.min(self.blue)])
							return (max_value - min_value) / max_value



		def 		UpperCAmelCase				(   self)			->			str:






							'''simple docstring'''
							return (2 * self.red - self.green - self.blue) / (self.green - self.blue)



		def 		UpperCAmelCase				(   self)			->			int:






							'''simple docstring'''
							return self.nir / self.red



		def 		UpperCAmelCase				(   self)			->			Any:






							'''simple docstring'''
							return (self.ndvi() + 0.5) ** (1 / 2)




		def 		UpperCAmelCase				(   self)			->			Union[str, Any]:






							'''simple docstring'''
							return (self.nir - self.redEdge) / (self.nir + self.redEdge)






