


from __future__ import annotations

import numpy as np




def    snake_case_     (  snake_case     )  ->				tuple[np.ndarray, np.ndarray]:
       lowercase__			,						lowercase__:   Any  			=   np.shape(lowercase__     )
       if rows != columns:
              lowercase__:   List[str]  			=   (
                  '\'table\' has to be of square shaped array but got a '
                  f'{rows}x{columns} array:\n{table}'
              )
              raise ValueError(lowercase__     )

       lowercase__:   int  			=   np.zeros((rows, columns)     )
       lowercase__:   List[str]  			=   np.zeros((rows, columns)     )
       for i in range(lowercase__     ):
              for j in range(lowercase__     ):
                     lowercase__:   str  			=   sum(lower[i][k] * upper[k][j] for k in range(lowercase__     )     )
                     if upper[j][j] == 0:
                            raise ArithmeticError('No LU decomposition exists'     )
                     lowercase__:   Optional[Any]  			=   (table[i][j] - total) / upper[j][j]
              lowercase__:   Optional[Any]  			=   1
              for j in range(lowercase__			,							lowercase__     ):
                     lowercase__:   List[str]  			=   sum(lower[i][k] * upper[k][j] for k in range(lowercase__     )     )
                     lowercase__:   str  			=   table[i][j] - total
       return lower, upper


if __name__ == "__main__":
 import doctest

 doctest.testmod()






from collections.abc import Sequence







def        _lowerCamelCase(	lowercase__   , lowercase__ = False	)						->	float:

		'''simple docstring'''







		if not arr:
				return 0

		__lowercase=			0 if allow_empty_subarrays else float('-inf'	)
		__lowercase=			0.0
		for num in arr:
				__lowercase=			max(0 if allow_empty_subarrays else num   , curr_sum + num	)
				__lowercase=			max(lowercase__   , lowercase__	)

		return max_sum


if __name__ == "__main__":
	from doctest import testmod

	testmod()

	lowerCAmelCase           =		[-2, 1, -3, 4, -1, 2, 1, -5, 4]
	print(F'{max_subarray_sum(nums) = }')






