






# Imports
import numpy as np



class   lowerCamelCase      :







		'''simple docstring'''



		def __init__(							self				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None   )	->							Tuple:
							self.set_matricies(red=_UpperCamelCase				,		green=_UpperCamelCase				,		blue=_UpperCamelCase				,		red_edge=_UpperCamelCase				,		nir=_UpperCamelCase   )



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None   )	->							Dict:
							if red is not None:
												UpperCAmelCase_    :      int            =						red
							if green is not None:
												UpperCAmelCase_    :      Dict            =						green
							if blue is not None:
												UpperCAmelCase_    :      str            =						blue
							if red_edge is not None:
												UpperCAmelCase_    :      int            =						red_edge
							if nir is not None:
												UpperCAmelCase_    :      Tuple            =						nir
							return True



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase=""				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None				,		_UpperCamelCase=None   )	->							List[Any]:
							self.set_matricies(red=_UpperCamelCase				,		green=_UpperCamelCase				,		blue=_UpperCamelCase				,		red_edge=_UpperCamelCase				,		nir=_UpperCamelCase   )
							UpperCAmelCase_    :      Optional[int]            =						{
							    '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   )	->							str:
							return -0.18 + (1.17 * ((self.nir - self.red) / (self.nir + self.red)))



		def 					__UpperCAmelCase			(							self   )	->							Tuple:
							return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
							    (self.nir - self.red) / (self.nir + self.red)
							)



		def 					__UpperCAmelCase			(							self   )	->							Union[str, Any]:
							return self.nir * (self.red / (self.green**2))



		def 					__UpperCAmelCase			(							self   )	->							Any:
							return (2 * self.green - self.red - self.blue) / (
							    2 * self.green + self.red + self.blue
							)



		def 					__UpperCAmelCase			(							self   )	->							Union[str, Any]:
							return (self.nir - self.red) / (self.nir + self.red)



		def 					__UpperCAmelCase			(							self   )	->							Union[str, Any]:
							return (self.nir - self.blue) / (self.nir + self.blue)



		def 					__UpperCAmelCase			(							self   )	->							List[str]:
							return (self.redEdge - self.red) / (self.redEdge + self.red)



		def 					__UpperCAmelCase			(							self   )	->							Optional[int]:
							return (self.nir - self.green) / (self.nir + self.green)



		def 					__UpperCAmelCase			(							self   )	->							Any:
							return (self.nir - (self.green + self.blue)) / (
							    self.nir + (self.green + self.blue)
							)



		def 					__UpperCAmelCase			(							self   )	->							Optional[Any]:
							return (self.nir - (self.green + self.red)) / (
							    self.nir + (self.green + self.red)
							)



		def 					__UpperCAmelCase			(							self   )	->							Tuple:
							return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))



		def 					__UpperCAmelCase			(							self   )	->							Optional[int]:
							return (self.nir - (self.green + self.red + self.blue)) / (
							    self.nir + (self.green + self.red + self.blue)
							)



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase=0.08				,		_UpperCamelCase=1.22				,		_UpperCamelCase=0.03   )	->							Tuple:
							return a * (
							    (self.nir - a * self.red - b)
							    / (a * self.nir + self.red - a * b + x * (1 + a**2))
							)



		def 					__UpperCAmelCase			(							self   )	->							List[Any]:
							return (0.1 * self.nir - self.blue) / (0.1 * self.nir + self.blue)



		def 					__UpperCAmelCase			(							self   )	->							Tuple:
							return (self.nir / self.green) - 1



		def 					__UpperCAmelCase			(							self   )	->							List[str]:
							return (self.nir / self.redEdge) - 1



		def 					__UpperCAmelCase			(							self   )	->							Any:
							return (self.red - self.blue) / self.red



		def 					__UpperCAmelCase			(							self   )	->							List[Any]:
							UpperCAmelCase_    :      str            =						self.ndvi()
							return ((ndvi + 0.5) / (abs(ndvi + 0.5   ))) * (abs(ndvi + 0.5   ) ** (1 / 2))



		def 					__UpperCAmelCase			(							self   )	->							Any:
							return self.nir - self.green



		def 					__UpperCAmelCase			(							self   )	->							Tuple:
							return 2.5 * (
							    (self.nir - self.red) / (self.nir + 6 * self.red - 7.5 * self.blue + 1)
							)



		def 					__UpperCAmelCase			(							self   )	->							Tuple:
							UpperCAmelCase_    :      List[Any]            =						(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 - 0.1_25) / (1 - self.red)



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase=0.16   )	->							List[Any]:
							return (self.nir - self.green) / (self.nir + self.green + y)



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase=0.5   )	->							Union[str, Any]:
							return ((self.nir - self.green) / (self.nir + self.green + n)) * (1 + n)



		def 					__UpperCAmelCase			(							self   )	->							Any:
							return np.arctan(
							    ((2 * self.red - self.green - self.blue) / 30.5) * (self.green - self.blue)   )



		def 					__UpperCAmelCase			(							self				,		_UpperCamelCase=None				,		_UpperCamelCase=None   )	->							Dict:
							return (self.nir - b) / (a * self.red)



		def 					__UpperCAmelCase			(							self   )	->							Any:
							return (self.nir / ((self.nir + self.red) / 2)) * (self.ndvi() + 1)



		def 					__UpperCAmelCase			(							self   )	->							List[str]:
							return (self.red + self.green + self.blue) / 30.5



		def 					__UpperCAmelCase			(							self   )	->							Optional[int]:
							return self.nir / self.red



		def 					__UpperCAmelCase			(							self   )	->							Tuple:
							return (self.rvi() - 1) / (self.rvi() + 1)



		def 					__UpperCAmelCase			(							self   )	->							str:
							return (
							    (2 * self.nir + 1)
							    - ((2 * self.nir + 1) ** 2 - 8 * (self.nir - self.red)) ** (1 / 2)
							) / 2



		def 					__UpperCAmelCase			(							self   )	->							Optional[Any]:
							return self.green / (self.nir + self.red + self.green)



		def 					__UpperCAmelCase			(							self   )	->							List[Any]:
							return self.nir / (self.nir + self.red + self.green)



		def 					__UpperCAmelCase			(							self   )	->							str:
							return self.red / (self.nir + self.red + self.green)



		def 					__UpperCAmelCase			(							self   )	->							List[Any]:
							return (self.green - self.red) / (self.green + self.red)



		def 					__UpperCAmelCase			(							self   )	->							List[Any]:
							return (self.red - self.green) / (self.red + self.green)



		def 					__UpperCAmelCase			(							self   )	->							Union[str, Any]:
							UpperCAmelCase_    :      List[str]            =						np.max([np.max(self.red   ), np.max(self.green   ), np.max(self.blue   )]   )
							UpperCAmelCase_    :      List[str]            =						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]:
							return (2 * self.red - self.green - self.blue) / (self.green - self.blue)



		def 					__UpperCAmelCase			(							self   )	->							str:
							return self.nir / self.red



		def 					__UpperCAmelCase			(							self   )	->							List[str]:
							return (self.ndvi() + 0.5) ** (1 / 2)



		def 					__UpperCAmelCase			(							self   )	->							str:
							return (self.nir - self.redEdge) / (self.nir + self.redEdge)














from __future__ import annotations




def      lowercase__      (     __snake_case    :							tuple[int, int]     ,       __snake_case    :							int  ):


					'''simple docstring'''


					UpperCAmelCase_       ,  UpperCAmelCase_    :      Tuple            =						position
					UpperCAmelCase_    :      str            =						[
					    (y + 1, x + 2),
					    (y - 1, x + 2),
					    (y + 1, x - 2),
					    (y - 1, x - 2),
					    (y + 2, x + 1),
					    (y + 2, x - 1),
					    (y - 2, x + 1),
					    (y - 2, x - 1),
					]
					UpperCAmelCase_    :      Optional[Any]            =						[]

					for position in positions:
										UpperCAmelCase_       ,  UpperCAmelCase_    :      Tuple            =						position
										if 0 <= y_test < n and 0 <= x_test < n:
															permissible_positions.append(__snake_case  )

					return permissible_positions




def      lowercase__      (     __snake_case    :							list[list[int]]  ):


					'''simple docstring'''


					return not any(elem == 0 for row in board for elem in row  )




def      lowercase__      (     __snake_case    :							list[list[int]]     ,       __snake_case    :							tuple[int, int]     ,       __snake_case    :							int  ):


					'''simple docstring'''


					if is_complete(__snake_case  ):
										return True

					for position in get_valid_pos(__snake_case     ,       len(__snake_case  )  ):
										UpperCAmelCase_       ,  UpperCAmelCase_    :      Any            =						position

										if board[y][x] == 0:
															UpperCAmelCase_    :      Optional[Any]            =						curr + 1
															if open_knight_tour_helper(__snake_case     ,       __snake_case     ,       curr + 1  ):
																				return True
															UpperCAmelCase_    :      List[Any]            =						0

					return False




def      lowercase__      (     __snake_case    :							int  ):


					'''simple docstring'''


					UpperCAmelCase_    :      str            =						[[0 for i in range(__snake_case  )] for j in range(__snake_case  )]

					for i in range(__snake_case  ):
										for j in range(__snake_case  ):
															UpperCAmelCase_    :      Optional[Any]            =						1
															if open_knight_tour_helper(__snake_case     ,       (i, j)     ,       1  ):
																				return board
															UpperCAmelCase_    :      List[Any]            =						0

					UpperCAmelCase_    :      List[str]            =						F"Open Kight Tour cannot be performed on a board of size {n}"
					raise ValueError(__snake_case  )


if __name__ == "__main__":
		import doctest

		doctest.testmod()






