



from __future__ import annotations

from collections.abc import Callable

__lowerCamelCase     :							Union[str, Any]  							=				list[list[float | int]]

def    lowerCamelCase_(lowerCamelCase_    ,   lowerCamelCase_    ) ->       Matrix:
						UpperCAmelCase         =    len(a_    )
						UpperCAmelCase         =    [[0 for _ in range(size + 1    )] for _ in range(a_    )]
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42

						for row in range(a_    ):
												for col in range(a_    ):
																		UpperCAmelCase         =    matrix[row][col]

												UpperCAmelCase         =    vector[row][0]

						UpperCAmelCase         =    0
						UpperCAmelCase         =    0
						while row < size and col < size:
												# pivoting
												UpperCAmelCase         =    max((abs(augmented[rowa][col]    ), rowa) for rowa in range(a_    ,   a_    )    )[
												    1
												]
												if augmented[pivot_row][col] == 0:
																		col += 1
																		continue
												else:
																		UpperCAmelCase         =    augmented[pivot_row], augmented[row]

												for rowa in range(row + 1    ,   a_    ):
																		UpperCAmelCase         =    augmented[rowa][col] / augmented[row][col]
																		UpperCAmelCase         =    0
																		for cola in range(col + 1    ,   size + 1    ):
																								augmented[rowa][cola] -= augmented[row][cola] * ratio

												row += 1
												col += 1

						# back substitution
						for col in range(1    ,   a_    ):
												for row in range(a_    ):
																		UpperCAmelCase         =    augmented[row][col] / augmented[col][col]
																		for cola in range(a_    ,   size + 1    ):
																								augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
						return [
						    [round(augmented[row][size] / augmented[row][row]    ,   10    )] for row in range(a_    )
						]

def    lowerCamelCase_(lowerCamelCase_    ) ->       Callable[[int], int]:
						UpperCAmelCase         =    len(a_    )
						UpperCAmelCase         =    [[0 for _ in range(a_    )] for _ in range(a_    )]
						UpperCAmelCase         =    [[0] for _ in range(a_    )]
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42

						for x_val, y_val in enumerate(a_    ):
												for col in range(a_    ):
																		UpperCAmelCase         =    (x_val + 1) ** (size - col - 1)
												UpperCAmelCase         =    y_val

						UpperCAmelCase         =    solve(a_    ,   a_    )

						def interpolated_func(lowerCamelCase_    ) -> int:
												return sum(
												    round(coeffs[x_val][0]    ) * (var ** (size - x_val - 1))
												    for x_val in range(a_    )    )

						return interpolated_func

def    lowerCamelCase_(lowerCamelCase_    ) ->       int:
						return (
						    1
						    - variable
						    + variable**2
						    - variable**3
						    + variable**4
						    - variable**5
						    + variable**6
						    - variable**7
						    + variable**8
						    - variable**9
						    + variable**10
						)

def    lowerCamelCase_(lowerCamelCase_ = question_function    ,   lowerCamelCase_ = 10    ) ->       int:
						UpperCAmelCase         =    [func(a_    ) for x_val in range(1    ,   order + 1    )]

						UpperCAmelCase         =    [
						    interpolate(data_points[:max_coeff]    ) for max_coeff in range(1    ,   order + 1    )
						]

						UpperCAmelCase         =    0
						UpperCAmelCase         =    42
						UpperCAmelCase         =    42

						for poly in polynomials:
												UpperCAmelCase         =    1
												while func(a_    ) == poly(a_    ):
																		x_val += 1

												ret += poly(a_    )

						return ret


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








import unittest

import torch
from torch import nn

from diffusers.models.activations import get_activation





class  __magic_name__   (							unittest.TestCase						):






		def SCREAMING_SNAKE_CASE_			(						self      :     int      )				->					str:
								'''simple docstring'''







								UpperCAmelCase         =     get_activation("swish"      )

								self.assertIsInstance(UpperCamelCase__				,		nn.SiLU      )

								self.assertEqual(act(torch.tensor(-1_00				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertNotEqual(act(torch.tensor(-1				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(0				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(20				,		dtype=torch.floataa      )      ).item()				,		20      )






		def SCREAMING_SNAKE_CASE_			(						self      :     Tuple      )				->					List[Any]:
								'''simple docstring'''







								UpperCAmelCase         =     get_activation("silu"      )

								self.assertIsInstance(UpperCamelCase__				,		nn.SiLU      )

								self.assertEqual(act(torch.tensor(-1_00				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertNotEqual(act(torch.tensor(-1				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(0				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(20				,		dtype=torch.floataa      )      ).item()				,		20      )






		def SCREAMING_SNAKE_CASE_			(						self      :     Optional[Any]      )				->					int:
								'''simple docstring'''







								UpperCAmelCase         =     get_activation("mish"      )

								self.assertIsInstance(UpperCamelCase__				,		nn.Mish      )

								self.assertEqual(act(torch.tensor(-2_00				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertNotEqual(act(torch.tensor(-1				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(0				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(20				,		dtype=torch.floataa      )      ).item()				,		20      )







		def SCREAMING_SNAKE_CASE_			(						self      :     str      )				->					List[str]:
								'''simple docstring'''







								UpperCAmelCase         =     get_activation("gelu"      )

								self.assertIsInstance(UpperCamelCase__				,		nn.GELU      )

								self.assertEqual(act(torch.tensor(-1_00				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertNotEqual(act(torch.tensor(-1				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(0				,		dtype=torch.floataa      )      ).item()				,		0      )
								self.assertEqual(act(torch.tensor(20				,		dtype=torch.floataa      )      ).item()				,		20      )



