


'''simple docstring'''






# Imports
import numpy as np




class 						a__							:





							'''simple docstring'''






							def __init__(						self   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None  )			->				List[Any]:
														self.set_matricies(red=lowerCamelCase_   ,       green=lowerCamelCase_   ,       blue=lowerCamelCase_   ,       red_edge=lowerCamelCase_   ,       nir=lowerCamelCase_  )







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None  )			->				List[str]:
														if red is not None:
																					lowerCAmelCase__			  =      red
														if green is not None:
																					lowerCAmelCase__			  =      green
														if blue is not None:
																					lowerCAmelCase__			  =      blue
														if red_edge is not None:
																					lowerCAmelCase__			  =      red_edge
														if nir is not None:
																					lowerCAmelCase__			  =      nir
														return True







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_=""   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None  )			->				Optional[Any]:
														self.set_matricies(red=lowerCamelCase_   ,       green=lowerCamelCase_   ,       blue=lowerCamelCase_   ,       red_edge=lowerCamelCase_   ,       nir=lowerCamelCase_  )
														lowerCAmelCase__			  =      {
														    '''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     __SCREAMING_SNAKE_CASE				(						self  )			->				List[Any]:
														return -0.18 + (1.17 * ((self.nir - self.red) / (self.nir + self.red)))







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				int:
														return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
														    (self.nir - self.red) / (self.nir + self.red)
														)







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Optional[int]:
														return (2 * self.green - self.red - self.blue) / (
														    2 * self.green + self.red + self.blue
														)







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Dict:
														return (self.nir - self.blue) / (self.nir + self.blue)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				int:
														return (self.redEdge - self.red) / (self.redEdge + self.red)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				int:
														return (self.nir - self.green) / (self.nir + self.green)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				List[str]:
														return (self.nir - (self.green + self.blue)) / (
														    self.nir + (self.green + self.blue)
														)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Dict:
														return (self.nir - (self.green + self.red)) / (
														    self.nir + (self.green + self.red)
														)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				str:
														return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))







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







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Union[str, Any]:
														return (0.1 * self.nir - self.blue) / (0.1 * self.nir + self.blue)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Any:
														return (self.nir / self.green) - 1







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Optional[int]:
														return (self.nir / self.redEdge) - 1







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				List[Any]:
														return (self.red - self.blue) / self.red







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Optional[Any]:
														lowerCAmelCase__			  =      self.ndvi()
														return ((ndvi + 0.5) / (abs(ndvi + 0.5  ))) * (abs(ndvi + 0.5  ) ** (1 / 2))







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Tuple:
														return self.nir - self.green







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Tuple:
														lowerCAmelCase__			  =      (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     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_=0.16  )			->				Optional[Any]:
														return (self.nir - self.green) / (self.nir + self.green + y)







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				List[str]:
														return np.arctan(
														    ((2 * self.red - self.green - self.blue) / 30.5) * (self.green - self.blue)  )







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_=None   ,       lowerCamelCase_=None  )			->				Any:
														return (self.nir - b) / (a * self.red)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Union[str, Any]:
														return (self.nir / ((self.nir + self.red) / 2)) * (self.ndvi() + 1)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Union[str, Any]:
														return (self.red + self.green + self.blue) / 30.5







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Tuple:
														return self.nir / self.red







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				int:
														return (self.rvi() - 1) / (self.rvi() + 1)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				List[str]:
														return (
														    (2 * self.nir + 1)
														    - ((2 * self.nir + 1) ** 2 - 8 * (self.nir - self.red)) ** (1 / 2)
														) / 2







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







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







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







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Any:
														return (self.red - self.green) / (self.red + self.green)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				str:
														lowerCAmelCase__			  =      np.max([np.max(self.red  ), np.max(self.green  ), np.max(self.blue  )]  )
														lowerCAmelCase__			  =      np.min([np.min(self.red  ), np.min(self.green  ), np.min(self.blue  )]  )
														return (max_value - min_value) / max_value







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







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				int:
														return self.nir / self.red







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Optional[int]:
														return (self.ndvi() + 0.5) ** (1 / 2)







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Dict:
														return (self.nir - self.redEdge) / (self.nir + self.redEdge)







'''simple docstring'''







def 		_UpperCAmelCase (				__A				: int   ):
				a_		:	Optional[Any]									=   []
				a_		:	Optional[Any]									=   []
				a_		:	List[str]									=   {
				    '''^''': 3,
				    '''*''': 2,
				    '''/''': 2,
				    '''%''': 2,
				    '''+''': 1,
				    '''-''': 1,
				}  # Priority of each operator
				a_		:	int									=   len(__A   ) if (len(__A   ) > 7) else 7

				# Print table header for output
				print(
				    '''Symbol'''.center(8   )    ,		'''Stack'''.center(__A   )    ,		'''Postfix'''.center(__A   )    ,		sep=''' | '''    ,		)
				print('''-''' * (print_width * 3 + 7)   )

				for x in infix:
								if x.isalpha() or x.isdigit():
												post_fix.append(__A   )  # if x is Alphabet / Digit, add it to Postfix
								elif x == "(":
												stack.append(__A   )  # if x is "(" push to Stack
								elif x == ")":  # if x is ")" pop stack until "(" is encountered
												while stack[-1] != "(":
																post_fix.append(stack.pop()   )  # Pop stack & add the content to Postfix
												stack.pop()
								else:
												if len(__A   ) == 0:
																stack.append(__A   )  # If stack is empty, push x to stack
												else:  # while priority of x is not > priority of element in the stack
																while len(__A   ) > 0 and priority[x] <= priority[stack[-1]]:
																				post_fix.append(stack.pop()   )  # pop stack & add to Postfix
																stack.append(__A   )  # push x to stack

								print(
								    x.center(8   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		sep=''' | '''    ,		)  # Output in tabular format

				while len(__A   ) > 0:  # while stack is not empty
								post_fix.append(stack.pop()   )  # pop stack & add to Postfix
								print(
								    ''' '''.center(8   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		(''''''.join(__A   )).ljust(__A   )    ,		sep=''' | '''    ,		)  # Output in tabular format

				return "".join(__A   )  # return Postfix as str





def 		_UpperCAmelCase (				__A				: Tuple   ):
				a_		:	Union[str, Any]									=   list(infix[::-1]   )  # reverse the infix equation

				for i in range(len(__A   )   ):
								if infix[i] == "(":
												a_		:	List[str]									=   ''')'''  # change "(" to ")"
								elif infix[i] == ")":
												a_		:	str									=   '''('''  # change ")" to "("

				return (infix_2_postfix(''''''.join(__A   )   ))[
				    ::-1
				]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
		__lowerCAmelCase									=   input('\nEnter an Infix Equation = ')  # Input an Infix equation
		__lowerCAmelCase									=   ''.join(Infix.split())  # Remove spaces from the input
		print('\n\t', Infix, '(Infix) -> ', infix_2_prefix(Infix), '(Prefix)')




