

from __future__ import annotations

from collections.abc import Callable

lowercase_       		=  list[list[float | int]]
def 						_snake_case(    SCREAMING_SNAKE_CASE__			:	Matrix    ,			SCREAMING_SNAKE_CASE__			:	Matrix      )							->      Matrix:





    '''simple docstring'''






    A__          =   len(SCREAMING_SNAKE_CASE__      )
    A__          =   [[0 for _ in range(size + 1      )] for _ in range(SCREAMING_SNAKE_CASE__      )]
    A__          =   42
    A__          =   42
    A__          =   42
    A__          =   42
    A__          =   42
    A__          =   42

    for row in range(SCREAMING_SNAKE_CASE__      ):
        for col in range(SCREAMING_SNAKE_CASE__      ):
            A__          =   matrix[row][col]

        A__          =   vector[row][0]

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

        for rowa in range(row + 1    ,			SCREAMING_SNAKE_CASE__      ):
            A__          =   augmented[rowa][col] / augmented[row][col]
            A__          =   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    ,			SCREAMING_SNAKE_CASE__      ):
        for row in range(SCREAMING_SNAKE_CASE__      ):
            A__          =   augmented[row][col] / augmented[col][col]
            for cola in range(SCREAMING_SNAKE_CASE__    ,			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(SCREAMING_SNAKE_CASE__      )
    ]
def 						_snake_case(    SCREAMING_SNAKE_CASE__			:	list[int]      )							->      Callable[[int], int]:





    '''simple docstring'''






    A__          =   len(SCREAMING_SNAKE_CASE__      )
    A__          =   [[0 for _ in range(SCREAMING_SNAKE_CASE__      )] for _ in range(SCREAMING_SNAKE_CASE__      )]
    A__          =   [[0] for _ in range(SCREAMING_SNAKE_CASE__      )]
    A__          =   42
    A__          =   42
    A__          =   42
    A__          =   42

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

    A__          =   solve(SCREAMING_SNAKE_CASE__    ,			SCREAMING_SNAKE_CASE__      )

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

    return interpolated_func
def 						_snake_case(    SCREAMING_SNAKE_CASE__			:	int      )							->      int:





    '''simple docstring'''






    return (
        1
        - variable
        + variable**2
        - variable**3
        + variable**4
        - variable**5
        + variable**6
        - variable**7
        + variable**8
        - variable**9
        + variable**10
    )
def 						_snake_case(    SCREAMING_SNAKE_CASE__			:	Callable[[int], int] = question_function    ,			SCREAMING_SNAKE_CASE__			:	int = 10      )							->      int:





    '''simple docstring'''






    A__          =   [func(SCREAMING_SNAKE_CASE__      ) for x_val in range(1    ,			order + 1      )]

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

    A__          =   0
    A__          =   42
    A__          =   42

    for poly in polynomials:
        A__          =   1
        while func(SCREAMING_SNAKE_CASE__      ) == poly(SCREAMING_SNAKE_CASE__      ):
            x_val += 1

        ret += poly(SCREAMING_SNAKE_CASE__      )

    return ret


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







import tempfile
import unittest

from make_student import create_student_by_copying_alternating_layers

from transformers import AutoConfig
from transformers.file_utils import cached_property
from transformers.testing_utils import require_torch


_lowerCamelCase	:		List[Any]							       =   """sshleifer/bart-tiny-random"""
_lowerCamelCase	:		List[Any]							       =   """patrickvonplaten/t5-tiny-random"""


@require_torch
class 				UpperCamelCase_    ( unittest.TestCase     ):

    '''simple docstring'''






    @cached_property
    def        SCREAMING_SNAKE_CASE							(			self      :	Union[str, Any])						->int:





           '''simple docstring'''

           return AutoConfig.from_pretrained(UpperCAmelCase__)


    def        SCREAMING_SNAKE_CASE							(			self      :	List[str])						->Any:





           '''simple docstring'''

           A__ ,							*A__       =    create_student_by_copying_alternating_layers(UpperCAmelCase__					, tempfile.mkdtemp()					, e=1					, d=1)
           self.assertEqual(student.config.num_hidden_layers					, 1)


    def        SCREAMING_SNAKE_CASE							(			self      :	int)						->Any:





           '''simple docstring'''

           A__ ,							*A__       =    create_student_by_copying_alternating_layers(UpperCAmelCase__					, tempfile.mkdtemp()					, e=1					, d=UpperCAmelCase__)


    def        SCREAMING_SNAKE_CASE							(			self      :	Union[str, Any])						->Union[str, Any]:





           '''simple docstring'''

           A__ ,							*A__       =    create_student_by_copying_alternating_layers(UpperCAmelCase__					, tempfile.mkdtemp()					, e=1					, d=UpperCAmelCase__)
           self.assertEqual(student.config.encoder_layers					, 1)
           self.assertEqual(student.config.decoder_layers					, self.teacher_config.encoder_layers)


    def        SCREAMING_SNAKE_CASE							(			self      :	Dict)						->int:





           '''simple docstring'''

           A__ ,							*A__       =    create_student_by_copying_alternating_layers(UpperCAmelCase__					, tempfile.mkdtemp()					, e=1					, d=1)
           self.assertEqual(student.config.encoder_layers					, 1)
           self.assertEqual(student.config.decoder_layers					, 1)





    def        SCREAMING_SNAKE_CASE							(			self      :	str)						->List[Any]:





           '''simple docstring'''

           with self.assertRaises(UpperCAmelCase__):
                  create_student_by_copying_alternating_layers(UpperCAmelCase__					, tempfile.mkdtemp()					, e=UpperCAmelCase__					, d=UpperCAmelCase__)


