





'''simple docstring'''







# Imports
import numpy as np


class 					__a      :

							def __init__(							self							:     List[Any]       ,     __magic_name__							:     Optional[Any]=None       ,     __magic_name__							:     int=None       ,     __magic_name__							:     Dict=None       ,     __magic_name__							:     Union[str, Any]=None       ,     __magic_name__							:     Optional[int]=None   )					->       str:







													"""simple docstring"""
													self.set_matricies(red=__magic_name__       ,     green=__magic_name__       ,     blue=__magic_name__       ,     red_edge=__magic_name__       ,     nir=__magic_name__   )

							def     UpperCAmelCase__	(							self							:     int       ,     __magic_name__							:     Dict=None       ,     __magic_name__							:     Union[str, Any]=None       ,     __magic_name__							:     List[str]=None       ,     __magic_name__							:     Any=None       ,     __magic_name__							:     Optional[Any]=None   )					->       Tuple:







													"""simple docstring"""
													if red is not None:
																			UpperCAmelCase_			:      Any     						=  red
													if green is not None:
																			UpperCAmelCase_			:      Union[str, Any]     						=  green
													if blue is not None:
																			UpperCAmelCase_			:      Optional[Any]     						=  blue
													if red_edge is not None:
																			UpperCAmelCase_			:      str     						=  red_edge
													if nir is not None:
																			UpperCAmelCase_			:      List[str]     						=  nir
													return True

							def     UpperCAmelCase__	(							self							:     Dict       ,     __magic_name__							:     List[str]=""       ,     __magic_name__							:     Union[str, Any]=None       ,     __magic_name__							:     str=None       ,     __magic_name__							:     Optional[int]=None       ,     __magic_name__							:     Union[str, Any]=None       ,     __magic_name__							:     str=None   )					->       Dict:







													"""simple docstring"""
													self.set_matricies(red=__magic_name__       ,     green=__magic_name__       ,     blue=__magic_name__       ,     red_edge=__magic_name__       ,     nir=__magic_name__   )
													UpperCAmelCase_			:      List[str]     						=  {
													    '''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							:     Dict   )					->       Tuple:







													"""simple docstring"""
													return -0.1_8 + (1.1_7 * ((self.nir - self.red) / (self.nir + self.red)))

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







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

							def     UpperCAmelCase__	(							self							:     Dict   )					->       Tuple:







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

							def     UpperCAmelCase__	(							self							:     int   )					->       Any:







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

							def     UpperCAmelCase__	(							self							:     Tuple   )					->       List[str]:







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

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







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

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







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

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







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

							def     UpperCAmelCase__	(							self							:     Tuple   )					->       Dict:







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

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







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

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







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

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







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

							def     UpperCAmelCase__	(							self							:     Tuple       ,     __magic_name__							:     Union[str, Any]=0.0_8       ,     __magic_name__							:     Any=1.2_2       ,     __magic_name__							:     Union[str, Any]=0.0_3   )					->       Optional[int]:







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

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







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

							def     UpperCAmelCase__	(							self							:     List[Any]   )					->       Dict:







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

							def     UpperCAmelCase__	(							self							:     List[Any]   )					->       str:







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

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







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

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







													"""simple docstring"""
													UpperCAmelCase_			:      Any     						=  self.ndvi()
													return ((ndvi + 0.5) / (abs(ndvi + 0.5   ))) * (abs(ndvi + 0.5   ) ** (1 / 2))

							def     UpperCAmelCase__	(							self							:     Optional[int]   )					->       Tuple:







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

							def     UpperCAmelCase__	(							self							:     str   )					->       List[Any]:







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

							def     UpperCAmelCase__	(							self							:     Any   )					->       Dict:







													"""simple docstring"""
													UpperCAmelCase_			:      List[str]     						=  (2 * (self.nir**2 - self.red**2) + 1.5 * self.nir + 0.5 * self.red) / (
													    self.nir + self.red + 0.5
													)
													return n * (1 - 0.2_5 * n) - (self.red - 0.1_2_5) / (1 - self.red)

							def     UpperCAmelCase__	(							self							:     List[str]       ,     __magic_name__							:     List[Any]=0.1_6   )					->       List[Any]:







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

							def     UpperCAmelCase__	(							self							:     Optional[int]       ,     __magic_name__							:     List[str]=0.5   )					->       Optional[int]:







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

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







													"""simple docstring"""
													return np.arctan(
													    ((2 * self.red - self.green - self.blue) / 3_0.5) * (self.green - self.blue)   )

							def     UpperCAmelCase__	(							self							:     Dict       ,     __magic_name__							:     str=None       ,     __magic_name__							:     Optional[int]=None   )					->       Any:







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

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







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

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







													"""simple docstring"""
													return (self.red + self.green + self.blue) / 3_0.5

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







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

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







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

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







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

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







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

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







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

							def     UpperCAmelCase__	(							self							:     Tuple   )					->       Optional[Any]:







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

							def     UpperCAmelCase__	(							self							:     Union[str, Any]   )					->       Optional[int]:







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

							def     UpperCAmelCase__	(							self							:     str   )					->       int:







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

							def     UpperCAmelCase__	(							self							:     Any   )					->       List[str]:







													"""simple docstring"""
													UpperCAmelCase_			:      Tuple     						=  np.max([np.max(self.red   ), np.max(self.green   ), np.max(self.blue   )]   )
													UpperCAmelCase_			:      Union[str, Any]     						=  np.min([np.min(self.red   ), np.min(self.green   ), np.min(self.blue   )]   )
													return (max_value - min_value) / max_value

							def     UpperCAmelCase__	(							self							:     List[str]   )					->       Tuple:







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

							def     UpperCAmelCase__	(							self							:     Dict   )					->       List[Any]:







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

							def     UpperCAmelCase__	(							self							:     str   )					->       Tuple:







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



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







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












'''simple docstring'''







def        lowerCamelCase_      (  SCREAMING_SNAKE_CASE__      :			list[int]   ) ->	list[list[int]]:
						UpperCAmelCase_			:      int     						=  []
						if len(SCREAMING_SNAKE_CASE__   ) == 1:
												return [nums.copy()]
						for _ in range(len(SCREAMING_SNAKE_CASE__   )   ):
												UpperCAmelCase_			:      List[Any]     						=  nums.pop(0   )
												UpperCAmelCase_			:      Optional[Any]     						=  permute(SCREAMING_SNAKE_CASE__   )
												for perm in permutations:
																		perm.append(SCREAMING_SNAKE_CASE__   )
												result.extend(SCREAMING_SNAKE_CASE__   )
												nums.append(SCREAMING_SNAKE_CASE__   )
						return result





def        lowerCamelCase_      (  SCREAMING_SNAKE_CASE__      :			List[str]   ) ->	Any:

						def backtrack(SCREAMING_SNAKE_CASE__      :			Union[str, Any]   ):
												if start == len(SCREAMING_SNAKE_CASE__   ) - 1:
																		output.append(nums[:]   )
												else:
																		for i in range(SCREAMING_SNAKE_CASE__,			len(SCREAMING_SNAKE_CASE__   )   ):
																								UpperCAmelCase_						,       UpperCAmelCase_			:      Tuple     						=  nums[i], nums[start]
																								backtrack(start + 1   )
																								UpperCAmelCase_						,       UpperCAmelCase_			:      int     						=  nums[i], nums[start]  # backtrack

						UpperCAmelCase_			:      Optional[int]     						=  []
						backtrack(0   )
						return output


if __name__ == "__main__":
					import doctest

					# use res to print the data in permute2 function
					snake_case_     :       Tuple						=  permutea([1, 2, 3])
					print(res)
					doctest.testmod()





