




'''simple docstring'''


import numpy as np

UpperCAmelCase_					=   [
    ["a", "b", "c", "d", "e"],
    ["f", "g", "h", "i", "k"],
    ["l", "m", "n", "o", "p"],
    ["q", "r", "s", "t", "u"],
    ["v", "w", "x", "y", "z"],
]





class  __lowercase    :







   def __init__(						self   )					->     Tuple:
     __a								=       np.array(UpperCamelCase   )







   def 		UpperCamelCase__      (						self   ,				UpperCamelCase   )					->     Optional[Any]:
     __a								=       np.where(letter == self.SQUARE   )
     __a								=       np.concatenate([indexa + 1, indexa + 1]   )
     return indexes







   def 		UpperCamelCase__      (						self   ,				UpperCamelCase   ,				UpperCamelCase   )					->     List[Any]:
     __a								=       self.SQUARE[indexa - 1, indexa - 1]
     return letter







   def 		UpperCamelCase__      (						self   ,				UpperCamelCase   )					->     Dict:
     __a								=       message.lower()
     __a								=       message.replace(' '   ,				''   )
     __a								=       message.replace('j'   ,				'i'   )

     __a								=       np.empty((2, len(UpperCamelCase   ))   )
     for letter_index in range(len(UpperCamelCase   )   ):
       __a								=       self.letter_to_numbers(message[letter_index]   )

       __a								=       numbers[0]
       __a								=       numbers[1]

     __a								=       first_step.reshape(2 * len(UpperCamelCase   )   )
     __a								=       ''
     for numbers_index in range(len(UpperCamelCase   )   ):
       __a								=       int(second_step[numbers_index * 2]   )
       __a								=       int(second_step[(numbers_index * 2) + 1]   )
       __a								=       self.numbers_to_letter(UpperCamelCase   ,				UpperCamelCase   )
       __a								=       encoded_message + letter

     return encoded_message







   def 		UpperCamelCase__      (						self   ,				UpperCamelCase   )					->     Tuple:
     __a								=       message.lower()
     message.replace(' '   ,				''   )
     __a								=       np.empty(2 * len(UpperCamelCase   )   )
     for letter_index in range(len(UpperCamelCase   )   ):
       __a								=       self.letter_to_numbers(message[letter_index]   )
       __a								=       numbers[0]
       __a								=       numbers[1]

     __a								=       first_step.reshape((2, len(UpperCamelCase   ))   )
     __a								=       ''
     for numbers_index in range(len(UpperCamelCase   )   ):
       __a								=       int(second_step[0, numbers_index]   )
       __a								=       int(second_step[1, numbers_index]   )
       __a								=       self.numbers_to_letter(UpperCamelCase   ,				UpperCamelCase   )
       __a								=       decoded_message + letter

     return decoded_message









"""simple docstring"""






from __future__ import annotations







def 	_snake_case     (							lowercase__						):  # This function is recursive
				_lowerCamelCase	:     Optional[Any]       =       len(lowercase__						)
				# If the array contains only one element, we return it (it's the stop condition of
				# recursion)
				if array_length <= 1:
								return array
								# Else
				_lowerCamelCase	:     Optional[Any]       =       array[0]
				_lowerCamelCase	:     Optional[int]       =       False
				_lowerCamelCase	:     List[str]       =       1
				_lowerCamelCase	:     list[int]       =       []
				while not is_found and i < array_length:
								if array[i] < pivot:
												_lowerCamelCase	:     Union[str, Any]       =       True
												_lowerCamelCase	:     str       =       [element for element in array[i:] if element >= array[i]]
												_lowerCamelCase	:     str       =       longest_subsequence(lowercase__						)
												if len(lowercase__						) > len(lowercase__						):
																_lowerCamelCase	:     Any       =       temp_array
								else:
												i += 1

				_lowerCamelCase	:     Optional[Any]       =       [element for element in array[1:] if element >= pivot]
				_lowerCamelCase	:     Dict       =       [pivot, *longest_subsequence(lowercase__						)]
				if len(lowercase__						) > len(lowercase__						):
								return temp_array
				else:
								return longest_subseq


if __name__ == "__main__":
			import doctest

			doctest.testmod()