


"""simple docstring"""





from __future__ import annotations

import numpy as np


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

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


if __name__ == "__main__":
 import doctest

 doctest.testmod()






"""simple docstring"""





def      _snake_case						(						_snake_case				:			int = 4000000			):
      lowerCAmelCase					:	int       =   [0, 1]
      lowerCAmelCase					:	List[str]       =   0
      while fib[i] <= n:
            fib.append(fib[i] + fib[i + 1]			)
            if fib[i + 2] > n:
                  break
            i += 1
      lowerCAmelCase					:	int       =   0
      for j in range(len(_snake_case			) - 1			):
            if fib[j] % 2 == 0:
                  total += fib[j]

      return total


if __name__ == "__main__":
 print(f"""{solution() = }""")


