"""simple docstring"""




import numpy as np



class        lowercase_   :



							def __init__(						self				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None    ):
													self.set_matricies(red=__snake_case				,    green=__snake_case				,    blue=__snake_case				,    red_edge=__snake_case				,    nir=__snake_case    )



							def 	UpperCamelCase	(						self				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None    ):
													if red is not None:
																			_snake_case						:					Optional[int]    =   red
													if green is not None:
																			_snake_case						:					Optional[Any]    =   green
													if blue is not None:
																			_snake_case						:					Tuple    =   blue
													if red_edge is not None:
																			_snake_case						:					str    =   red_edge
													if nir is not None:
																			_snake_case						:					List[Any]    =   nir
													return True



							def 	UpperCamelCase	(						self				,    lowercase_=""				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None				,    lowercase_=None    ):
													self.set_matricies(red=__snake_case				,    green=__snake_case				,    blue=__snake_case				,    red_edge=__snake_case				,    nir=__snake_case    )
													_snake_case						:					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    ):
													return -0.18 + (1.17 * ((self.nir - self.red) / (self.nir + self.red)))



							def 	UpperCamelCase	(						self    ):
													return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
													    (self.nir - self.red) / (self.nir + self.red)
													)



							def 	UpperCamelCase	(						self    ):
													return self.nir * (self.red / (self.green**2))



							def 	UpperCamelCase	(						self    ):
													return (2 * self.green - self.red - self.blue) / (
													    2 * self.green + self.red + self.blue
													)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - self.red) / (self.nir + self.red)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - self.blue) / (self.nir + self.blue)



							def 	UpperCamelCase	(						self    ):
													return (self.redEdge - self.red) / (self.redEdge + self.red)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - self.green) / (self.nir + self.green)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - (self.green + self.blue)) / (
													    self.nir + (self.green + self.blue)
													)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - (self.green + self.red)) / (
													    self.nir + (self.green + self.red)
													)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))



							def 	UpperCamelCase	(						self    ):
													return (self.nir - (self.green + self.red + self.blue)) / (
													    self.nir + (self.green + self.red + self.blue)
													)



							def 	UpperCamelCase	(						self				,    lowercase_=0.08				,    lowercase_=1.22				,    lowercase_=0.03    ):
													return a * (
													    (self.nir - a * self.red - b)
													    / (a * self.nir + self.red - a * b + x * (1 + a**2))
													)



							def 	UpperCamelCase	(						self    ):
													return (0.1 * self.nir - self.blue) / (0.1 * self.nir + self.blue)



							def 	UpperCamelCase	(						self    ):
													return (self.nir / self.green) - 1



							def 	UpperCamelCase	(						self    ):
													return (self.nir / self.redEdge) - 1



							def 	UpperCamelCase	(						self    ):
													return (self.red - self.blue) / self.red



							def 	UpperCamelCase	(						self    ):
													_snake_case						:					List[Any]    =   self.ndvi()
													return ((ndvi + 0.5) / (abs(ndvi + 0.5    ))) * (abs(ndvi + 0.5    ) ** (1 / 2))



							def 	UpperCamelCase	(						self    ):
													return self.nir - self.green



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



							def 	UpperCamelCase	(						self    ):
													_snake_case						:					Union[str, 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 - 0.125) / (1 - self.red)



							def 	UpperCamelCase	(						self				,    lowercase_=0.16    ):
													return (self.nir - self.green) / (self.nir + self.green + y)



							def 	UpperCamelCase	(						self				,    lowercase_=0.5    ):
													return ((self.nir - self.green) / (self.nir + self.green + n)) * (1 + n)



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



							def 	UpperCamelCase	(						self				,    lowercase_=None				,    lowercase_=None    ):
													return (self.nir - b) / (a * self.red)



							def 	UpperCamelCase	(						self    ):
													return (self.nir / ((self.nir + self.red) / 2)) * (self.ndvi() + 1)



							def 	UpperCamelCase	(						self    ):
													return (self.red + self.green + self.blue) / 30.5



							def 	UpperCamelCase	(						self    ):
													return self.nir / self.red



							def 	UpperCamelCase	(						self    ):
													return (self.rvi() - 1) / (self.rvi() + 1)



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



							def 	UpperCamelCase	(						self    ):
													return self.green / (self.nir + self.red + self.green)



							def 	UpperCamelCase	(						self    ):
													return self.nir / (self.nir + self.red + self.green)



							def 	UpperCamelCase	(						self    ):
													return self.red / (self.nir + self.red + self.green)



							def 	UpperCamelCase	(						self    ):
													return (self.green - self.red) / (self.green + self.red)



							def 	UpperCamelCase	(						self    ):
													return (self.red - self.green) / (self.red + self.green)



							def 	UpperCamelCase	(						self    ):
													_snake_case						:					Optional[Any]    =   np.max([np.max(self.red    ), np.max(self.green    ), np.max(self.blue    )]    )
													_snake_case						:					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    ):
													return (2 * self.red - self.green - self.blue) / (self.green - self.blue)



							def 	UpperCamelCase	(						self    ):
													return self.nir / self.red



							def 	UpperCamelCase	(						self    ):
													return (self.ndvi() + 0.5) ** (1 / 2)



							def 	UpperCamelCase	(						self    ):
													return (self.nir - self.redEdge) / (self.nir + self.redEdge)
def  snake_case						(__lowercase						)	->	list[int]:

						'''simple docstring'''



						if num <= 0:
												raise ValueError("Input must be a positive integer"						)

						_snake_case						:					Any    =   [True] * (num + 1)

						_snake_case						:					str    =   2
						while p * p <= num:
												if primes[p]:
																		for i in range(p * p ,      num + 1 ,      __lowercase						):
																								_snake_case						:					Optional[int]    =   False
												p += 1

						return [prime for prime in range(2 ,      num + 1						) if primes[prime]]


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				__SCREAMING_SNAKE_CASE						:   Any         =			int(input('Enter a positive integer: ').strip())
				print(prime_sieve_eratosthenes(user_num))