


'''simple docstring'''







import numpy as np

lowerCAmelCase    :     Optional[Any]					=						[
    ["""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 	UpperCamelCase__					:



     """simple docstring"""






     def __init__( self   ):

            '''simple docstring'''

            _lowerCAmelCase    :							Union[str, Any]   			=       np.array(snake_case__   )







     def a	( self      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase			,     _lowerCAmelCase    :							int   			=       np.where(letter == self.SQUARE   )
            _lowerCAmelCase    :							Dict   			=       np.concatenate([indexa + 1, indexa + 1]   )
            return indexes







     def a	( self      ,	snake_case__      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase    :							Tuple   			=       self.SQUARE[indexa - 1, indexa - 1]
            return letter







     def a	( self      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase    :							int   			=       message.lower()
            _lowerCAmelCase    :							str   			=       message.replace(' '      ,	''   )
            _lowerCAmelCase    :							List[str]   			=       message.replace('j'      ,	'i'   )

            _lowerCAmelCase    :							List[Any]   			=       np.empty((2, len(snake_case__   ))   )
            for letter_index in range(len(snake_case__   )   ):
                   _lowerCAmelCase    :							Optional[Any]   			=       self.letter_to_numbers(message[letter_index]   )

                   _lowerCAmelCase    :							int   			=       numbers[0]
                   _lowerCAmelCase    :							str   			=       numbers[1]

            _lowerCAmelCase    :							List[Any]   			=       first_step.reshape(2 * len(snake_case__   )   )
            _lowerCAmelCase    :							Tuple   			=       ''
            for numbers_index in range(len(snake_case__   )   ):
                   _lowerCAmelCase    :							List[Any]   			=       int(second_step[numbers_index * 2]   )
                   _lowerCAmelCase    :							Optional[Any]   			=       int(second_step[(numbers_index * 2) + 1]   )
                   _lowerCAmelCase    :							List[str]   			=       self.numbers_to_letter(snake_case__      ,	snake_case__   )
                   _lowerCAmelCase    :							Optional[int]   			=       encoded_message + letter

            return encoded_message







     def a	( self      ,	snake_case__   ):

            '''simple docstring'''

            _lowerCAmelCase    :							Tuple   			=       message.lower()
            message.replace(' '      ,	''   )
            _lowerCAmelCase    :							int   			=       np.empty(2 * len(snake_case__   )   )
            for letter_index in range(len(snake_case__   )   ):
                   _lowerCAmelCase    :							Optional[Any]   			=       self.letter_to_numbers(message[letter_index]   )
                   _lowerCAmelCase    :							Tuple   			=       numbers[0]
                   _lowerCAmelCase    :							str   			=       numbers[1]

            _lowerCAmelCase    :							Optional[Any]   			=       first_step.reshape((2, len(snake_case__   ))   )
            _lowerCAmelCase    :							Optional[int]   			=       ''
            for numbers_index in range(len(snake_case__   )   ):
                   _lowerCAmelCase    :							Tuple   			=       int(second_step[0, numbers_index]   )
                   _lowerCAmelCase    :							str   			=       int(second_step[1, numbers_index]   )
                   _lowerCAmelCase    :							str   			=       self.numbers_to_letter(snake_case__      ,	snake_case__   )
                   _lowerCAmelCase    :							int   			=       decoded_message + letter

            return decoded_message





'''simple docstring'''







def 			lowercase				(_A   ,						_A					):







       """simple docstring"""







       _lowerCAmelCase    :							Optional[int]   			=       (boundary[1] - boundary[0]) / steps
       _lowerCAmelCase    :							Any   			=       boundary[0]
       _lowerCAmelCase    :							List[str]   			=       boundary[1]
       _lowerCAmelCase    :							Tuple   			=       make_points(_A   ,						_A   ,						_A					)
       _lowerCAmelCase    :							Tuple   			=       0.0
       y += (h / 2.0) * f(_A					)
       for i in x_i:
              # print(i)
              y += h * f(_A					)
       y += (h / 2.0) * f(_A					)
       return y






def 			lowercase				(_A   ,						_A   ,						_A					):







       """simple docstring"""







       _lowerCAmelCase    :							Tuple   			=       a + h
       while x < (b - h):
              yield x
              _lowerCAmelCase    :							Any   			=       x + h






def 			lowercase				(_A					):  # enter your function here







       """simple docstring"""







       _lowerCAmelCase    :							int   			=       (x - 0) * (x - 0)
       return y






def 			lowercase				():







       """simple docstring"""







       _lowerCAmelCase    :							Optional[Any]   			=       0.0  # Lower bound of integration
       _lowerCAmelCase    :							Dict   			=       1.0  # Upper bound of integration
       _lowerCAmelCase    :							Optional[Any]   			=       10.0  # define number of steps or resolution
       _lowerCAmelCase    :							Optional[int]   			=       [a, b]  # define boundary of integration
       _lowerCAmelCase    :							List[Any]   			=       method_a(_A   ,						_A					)
       print(f'y = {y}'					)


if __name__ == "__main__":
       main()

