




'''simple docstring'''





import re

from filelock import FileLock


try:
		import nltk

		_SCREAMING_SNAKE_CASE							:       Optional[Any]						=			True
except (ImportError, ModuleNotFoundError):
		_SCREAMING_SNAKE_CASE							:       Optional[int]						=			False

if NLTK_AVAILABLE:
		with FileLock(".lock") as lock:
				nltk.download("punkt", quiet=True)


def 					UpperCamelCase_(     snake_case							:	str					):

							'''simple docstring'''






							re.sub("<n>"							,    ""							,    snake_case					)  # remove pegasus newline char
							assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
							return "\n".join(nltk.sent_tokenize(snake_case					)					)










'''simple docstring'''





from __future__ import annotations

import numpy as np


def 					UpperCamelCase_(     snake_case							:	np.ndarray					):

							'''simple docstring'''






							snake_case_ ,				snake_case_      =				np.shape(snake_case					)
							if rows != columns:
														snake_case_      =				(
														    "'table' has to be of square shaped array but got a "
														    f'{rows}x{columns} array:\n{table}'
														)
														raise ValueError(snake_case					)

							snake_case_      =				np.zeros((rows, columns)					)
							snake_case_      =				np.zeros((rows, columns)					)
							for i in range(snake_case					):
														for j in range(snake_case					):
																					snake_case_      =				sum(lower[i][k] * upper[k][j] for k in range(snake_case					)					)
																					if upper[j][j] == 0:
																												raise ArithmeticError("No LU decomposition exists"					)
																					snake_case_      =				(table[i][j] - total) / upper[j][j]
														snake_case_      =				1
														for j in range(snake_case							,    snake_case					):
																					snake_case_      =				sum(lower[i][k] * upper[k][j] for k in range(snake_case					)					)
																					snake_case_      =				table[i][j] - total
							return lower, upper


if __name__ == "__main__":
		import doctest

		doctest.testmod()




