


# Imports
import numpy as np



class 							_UpperCamelCase					:

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




              """simple docstring"""


              self.set_matricies(red=_SCREAMING_SNAKE_CASE					,   green=_SCREAMING_SNAKE_CASE					,   blue=_SCREAMING_SNAKE_CASE					,   red_edge=_SCREAMING_SNAKE_CASE					,   nir=_SCREAMING_SNAKE_CASE		)

       def lowercase (		self: Any					,   _SCREAMING_SNAKE_CASE: Tuple=None					,   _SCREAMING_SNAKE_CASE: Tuple=None					,   _SCREAMING_SNAKE_CASE: Any=None					,   _SCREAMING_SNAKE_CASE: Optional[Any]=None					,   _SCREAMING_SNAKE_CASE: Tuple=None		)       -> List[str]:




              """simple docstring"""


              if red is not None:
                     UpperCamelCase_          =  red
              if green is not None:
                     UpperCamelCase_          =  green
              if blue is not None:
                     UpperCamelCase_          =  blue
              if red_edge is not None:
                     UpperCamelCase_          =  red_edge
              if nir is not None:
                     UpperCamelCase_          =  nir
              return True

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




              """simple docstring"""


              self.set_matricies(red=_SCREAMING_SNAKE_CASE					,   green=_SCREAMING_SNAKE_CASE					,   blue=_SCREAMING_SNAKE_CASE					,   red_edge=_SCREAMING_SNAKE_CASE					,   nir=_SCREAMING_SNAKE_CASE		)
              UpperCamelCase_          =  {
                  "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 lowercase (		self: List[Any]		)       -> List[Any]:




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

       def lowercase (		self: List[Any]		)       -> List[Any]:




              """simple docstring"""


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

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




              """simple docstring"""


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

       def lowercase (		self: str		)       -> Tuple:




              """simple docstring"""


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

       def lowercase (		self: Optional[Any]		)       -> Dict:




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

       def lowercase (		self: Tuple		)       -> Dict:




              """simple docstring"""


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

       def lowercase (		self: List[Any]		)       -> Tuple:




              """simple docstring"""


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

       def lowercase (		self: List[str]					,   _SCREAMING_SNAKE_CASE: Dict=0.08					,   _SCREAMING_SNAKE_CASE: Dict=1.22					,   _SCREAMING_SNAKE_CASE: Dict=0.03		)       -> Dict:




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

       def lowercase (		self: Dict		)       -> str:




              """simple docstring"""


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

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




              """simple docstring"""


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

       def lowercase (		self: Dict		)       -> Dict:




              """simple docstring"""


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

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




              """simple docstring"""


              return self.nir - self.green

       def lowercase (		self: Dict		)       -> List[str]:




              """simple docstring"""


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

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




              """simple docstring"""


              UpperCamelCase_          =  (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 lowercase (		self: Any					,   _SCREAMING_SNAKE_CASE: Optional[int]=0.16		)       -> int:




              """simple docstring"""


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

       def lowercase (		self: List[str]					,   _SCREAMING_SNAKE_CASE: int=0.5		)       -> int:




              """simple docstring"""


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

       def lowercase (		self: int		)       -> Tuple:




              """simple docstring"""


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

       def lowercase (		self: List[Any]					,   _SCREAMING_SNAKE_CASE: List[str]=None					,   _SCREAMING_SNAKE_CASE: Tuple=None		)       -> List[str]:




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


              return self.nir / self.red

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




              """simple docstring"""


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

       def lowercase (		self: List[str]		)       -> Dict:




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

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




              """simple docstring"""


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

       def lowercase (		self: Any		)       -> Dict:




              """simple docstring"""


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

       def lowercase (		self: Any		)       -> Tuple:




              """simple docstring"""


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

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




              """simple docstring"""


              UpperCamelCase_          =  np.max([np.max(self.red		), np.max(self.green		), np.max(self.blue		)]		)
              UpperCamelCase_          =  np.min([np.min(self.red		), np.min(self.green		), np.min(self.blue		)]		)
              return (max_value - min_value) / max_value

       def lowercase (		self: Optional[Any]		)       -> Optional[Any]:




              """simple docstring"""


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

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




              """simple docstring"""


              return self.nir / self.red

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




              """simple docstring"""


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



       def lowercase (		self: str		)       -> Any:




              """simple docstring"""


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








import sys




def  lowerCAmelCase_ (							UpperCamelCase_  )     ->		Union[str, Any]:
       UpperCamelCase_          =  len(UpperCamelCase_  )
       UpperCamelCase_          =  [[0 for x in range(UpperCamelCase_  )] for x in range(UpperCamelCase_  )]
       UpperCamelCase_          =  [[0 for x in range(UpperCamelCase_  )] for x in range(UpperCamelCase_  )]

       for chain_length in range(2					,		UpperCamelCase_  ):
              for a in range(1					,		n - chain_length + 1  ):
                     UpperCamelCase_          =  a + chain_length - 1

                     UpperCamelCase_          =  sys.maxsize
                     for c in range(UpperCamelCase_					,		UpperCamelCase_  ):
                            UpperCamelCase_          =  (
                                matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
                            )
                            if cost < matrix[a][b]:
                                   UpperCamelCase_          =  cost
                                   UpperCamelCase_          =  c
       return matrix, sol




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_					,		UpperCamelCase_  )     ->		List[str]:
       if i == j:
              print("A" + str(UpperCamelCase_  )					,		end=" "  )
       else:
              print("("					,		end=" "  )
              print_optiomal_solution(UpperCamelCase_					,		UpperCamelCase_					,		optimal_solution[i][j]  )
              print_optiomal_solution(UpperCamelCase_					,		optimal_solution[i][j] + 1					,		UpperCamelCase_  )
              print(")"					,		end=" "  )




def  lowerCAmelCase_ (							)     ->		Any:
       UpperCamelCase_          =  [30, 35, 15, 5, 10, 20, 25]
       UpperCamelCase_          =  len(UpperCamelCase_  )
       # Size of matrix created from above array will be
       # 30*35 35*15 15*5 5*10 10*20 20*25
       UpperCamelCase_       , UpperCamelCase_          =  matrix_chain_order(UpperCamelCase_  )

       print("No. of Operation required: " + str(matrix[1][n - 1]  )  )
       print_optiomal_solution(UpperCamelCase_					,		1					,		n - 1  )


if __name__ == "__main__":
     main()

