

'''simple docstring'''





def 							_lowerCAmelCase (      __magic_name__	:    str	)							->     str:
						lowercase   :       Optional[Any]								=0

						# if input_string is "aba" than new_input_string become "a|b|a"
						lowercase   :       Tuple								=''''''
						lowercase   :       Optional[int]								=''''''

						# append each character + "|" in new_string for range(0, length-1)
						for i in input_string[: len(__magic_name__	) - 1]:
												new_input_string += i + "|"
						# append last character
						new_input_string += input_string[-1]

						# we will store the starting and ending of previous furthest ending palindromic
						# substring
						lowercase		,  lowercase   :       List[Any]								=0, 0

						# length[i] shows the length of palindromic substring with center i
						lowercase   :       Optional[Any]								=[1 for i in range(len(__magic_name__	)	)]

						# for each character in new_string find corresponding palindromic string
						lowercase   :       Any								=0
						for j in range(len(__magic_name__	)	):
												lowercase   :       Union[str, Any]								=1 if j > r else min(length[l + r - j] // 2      ,   r - j + 1	)
												while (
												    j - k >= 0
												    and j + k < len(__magic_name__	)
												    and new_input_string[k + j] == new_input_string[j - k]
												):
																		k += 1

												lowercase   :       str								=2 * k - 1

												# does this string is ending after the previously explored end (that is r) ?
												# if yes the update the new r to the last index of this
												if j + k - 1 > r:
																		lowercase   :       List[str]								=j - k + 1  # noqa: E741
																		lowercase   :       Any								=j + k - 1

												# update max_length and start position
												if max_length < length[j]:
																		lowercase   :       int								=length[j]
																		lowercase   :       Tuple								=j

    # create that string
						lowercase   :       str								=new_input_string[start - max_length // 2 : start + max_length // 2 + 1]
						for i in s:
												if i != "|":
																		output_string += i

						return output_string


if __name__ == "__main__":
							import doctest

							doctest.testmod()








'''simple docstring'''





from datetime import datetime

import matplotlib.pyplot as plt
import torch






def 							_lowerCAmelCase (      __magic_name__	:    Dict	)							->     Dict:
						for param in module.parameters():
												lowercase   :       List[str]								=False






def 							_lowerCAmelCase (      )							->     List[str]:
						lowercase   :       Dict								='''cuda''' if torch.cuda.is_available() else '''cpu'''
						if torch.backends.mps.is_available() and torch.backends.mps.is_built():
												lowercase   :       Optional[int]								='''mps'''
						if device == "mps":
												print(
												    '''WARNING: MPS currently doesn\'t seem to work, and messes up backpropagation without any visible torch'''
												    ''' errors. I recommend using CUDA on a colab notebook or CPU instead if you\'re facing inexplicable issues'''
												    ''' with generations.'''	)
						return device






def 							_lowerCAmelCase (      __magic_name__	:    Union[str, Any]	)							->     str:
						lowercase   :       Optional[int]								=plt.imshow(__magic_name__	)
						fig.axes.get_xaxis().set_visible(__magic_name__	)
						fig.axes.get_yaxis().set_visible(__magic_name__	)
						plt.show()







def 							_lowerCAmelCase (      )							->     List[Any]:
						lowercase   :       Any								=datetime.now()
						lowercase   :       Dict								=current_time.strftime('''%H:%M:%S'''	)
						return timestamp





