





# Imports
import numpy as np



class 					A__   :





      def __init__( self       ,							A_=None       ,							A_=None       ,							A_=None       ,							A_=None       ,							A_=None   ):
       '''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   ):
       '''simple docstring'''




       if red is not None:
        UpperCamelCase	:					Tuple       	=   red
       if green is not None:
        UpperCamelCase	:					List[str]       	=   green
       if blue is not None:
        UpperCamelCase	:					Tuple       	=   blue
       if red_edge is not None:
        UpperCamelCase	:					List[Any]       	=   red_edge
       if nir is not None:
        UpperCamelCase	:					Dict       	=   nir
       return True





      def        __UpperCamelCase( self       ,							A_=""       ,							A_=None       ,							A_=None       ,							A_=None       ,							A_=None       ,							A_=None   ):
       '''simple docstring'''




       self.set_matricies(red=A_       ,							green=A_       ,							blue=A_       ,							red_edge=A_       ,							nir=A_   )
       UpperCamelCase	:					Any       	=   {
           "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   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
           (self.nir - self.red) / (self.nir + self.red)
       )





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.nir * (self.red / (self.green**2))





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - self.red) / (self.nir + self.red)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - self.blue) / (self.nir + self.blue)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.redEdge - self.red) / (self.redEdge + self.red)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - self.green) / (self.nir + self.green)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - (self.green + self.blue)) / (
           self.nir + (self.green + self.blue)
       )





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - (self.green + self.red)) / (
           self.nir + (self.green + self.red)
       )





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))





      def        __UpperCamelCase( self   ):
       '''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   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir / self.green) - 1





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir / self.redEdge) - 1





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.red - self.blue) / self.red





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.nir - self.green





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       UpperCamelCase	:					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 - 0.1_25) / (1 - self.red)





      def        __UpperCamelCase( self       ,							A_=0.16   ):
       '''simple docstring'''




       return (self.nir - self.green) / (self.nir + self.green + y)





      def        __UpperCamelCase( self       ,							A_=0.5   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''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   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.red + self.green + self.blue) / 30.5





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.nir / self.red





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.rvi() - 1) / (self.rvi() + 1)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.green / (self.nir + self.red + self.green)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.nir / (self.nir + self.red + self.green)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.red / (self.nir + self.red + self.green)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.green - self.red) / (self.green + self.red)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.red - self.green) / (self.red + self.green)





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       UpperCamelCase	:					List[Any]       	=   np.max([np.max(self.red   ), np.max(self.green   ), np.max(self.blue   )]   )
       UpperCamelCase	:					Dict       	=   np.min([np.min(self.red   ), np.min(self.green   ), np.min(self.blue   )]   )
       return (max_value - min_value) / max_value





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return self.nir / self.red





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




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





      def        __UpperCamelCase( self   ):
       '''simple docstring'''




       return (self.nir - self.redEdge) / (self.nir + self.redEdge)







def 		A_				(     _lowerCAmelCase = 50     )						-> int:
 UpperCamelCase	:					List[Any]       	=   [[0] * 3 for _ in range(length + 1     )]

 for row_length in range(length + 1     ):
  for tile_length in range(2							,   5     ):
   for tile_start in range(row_length - tile_length + 1     ):
    different_colour_ways_number[row_length][tile_length - 2] += (
        different_colour_ways_number[row_length - tile_start - tile_length][
            tile_length - 2
        ]
        + 1
    )

 return sum(different_colour_ways_number[length]     )


if __name__ == "__main__":
    print(f"""{solution() = }""")
