

def  UpperCAmelCase_   (_lowerCAmelCase :		list		):
			__UpperCamelCase    :    Union[str, Any]								=      len(_lowerCAmelCase		)

			# Set the gap value to be decreased by a factor of 1.3
			# after each iteration
			__UpperCamelCase    :    Optional[int]								=      1.3

			# Continue sorting until the gap is 1
			while gap > 1:
						# Decrease the gap value
						__UpperCamelCase    :    List[str]								=      int(gap / shrink		)

						# Sort the elements using insertion sort
						for i in range(_lowerCAmelCase     ,			len(_lowerCAmelCase		)		):
									__UpperCamelCase    :    int								=      collection[i]
									__UpperCamelCase    :    Dict								=      i
									while j >= gap and collection[j - gap] > temp:
												__UpperCamelCase    :    Dict								=      collection[j - gap]
												j -= gap
									__UpperCamelCase    :    List[str]								=      temp

			return collection


if __name__ == "__main__":
					import doctest

					doctest.testmod()


import numpy as np

lowercase     :       Union[str, 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 		SCREAMING_SNAKE_CASE__					:







						"""simple docstring"""




						def __init__(				self    )							->	None:




									'''simple docstring'''


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

						def __lowerCamelCase					(				self , __UpperCamelCase    )							->	np.ndarray:




									'''simple docstring'''


									__UpperCamelCase							,				__UpperCamelCase    :    List[Any]								=      np.where(letter == self.SQUARE    )
									__UpperCamelCase    :    Tuple								=      np.concatenate([indexa + 1, indexa + 1]    )
									return indexes

						def __lowerCamelCase					(				self , __UpperCamelCase , __UpperCamelCase    )							->	str:




									'''simple docstring'''


									return self.SQUARE[indexa - 1, indexa - 1]

						def __lowerCamelCase					(				self , __UpperCamelCase    )							->	str:




									'''simple docstring'''


									__UpperCamelCase    :    int								=      message.lower()
									__UpperCamelCase    :    List[Any]								=      message.replace("j" , "i"    )

									__UpperCamelCase    :    Dict								=      ""
									for letter_index in range(len(__UpperCamelCase    )    ):
												if message[letter_index] != " ":
															__UpperCamelCase    :    int								=      self.letter_to_numbers(message[letter_index]    )
															__UpperCamelCase    :    Optional[int]								=      encoded_message + str(numbers[0]    ) + str(numbers[1]    )
												elif message[letter_index] == " ":
															__UpperCamelCase    :    List[str]								=      encoded_message + " "

									return encoded_message




						def __lowerCamelCase					(				self , __UpperCamelCase    )							->	str:




									'''simple docstring'''


									__UpperCamelCase    :    Dict								=      message.replace(" " , "  "    )
									__UpperCamelCase    :    Optional[int]								=      ""
									for numbers_index in range(int(len(__UpperCamelCase    ) / 2    )    ):
												if message[numbers_index * 2] != " ":
															__UpperCamelCase    :    int								=      message[numbers_index * 2]
															__UpperCamelCase    :    Optional[int]								=      message[numbers_index * 2 + 1]

															__UpperCamelCase    :    str								=      self.numbers_to_letter(int(__UpperCamelCase    ) , int(__UpperCamelCase    )    )
															__UpperCamelCase    :    Optional[Any]								=      decoded_message + letter
												elif message[numbers_index * 2] == " ":
															__UpperCamelCase    :    str								=      decoded_message + " "

									return decoded_message