from __future__ import annotations

from collections.abc import Callable

__lowerCamelCase      :			Dict							       =		list[list[float | int]]



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	Matrix			,					__UpperCamelCase   :	Matrix     )							-> Matrix:







  """simple docstring"""





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

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

    SCREAMING_SNAKE_CASE__      							=				vector[row][0]

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

    for rowa in range(row + 1			,					__UpperCamelCase     ):
      SCREAMING_SNAKE_CASE__      							=				augmented[rowa][col] / augmented[row][col]
      SCREAMING_SNAKE_CASE__      							=				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			,					__UpperCamelCase     ):
    for row in range(__UpperCamelCase     ):
      SCREAMING_SNAKE_CASE__      							=				augmented[row][col] / augmented[col][col]
      for cola in range(__UpperCamelCase			,					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(__UpperCamelCase     )
  ]



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	list[int]     )							-> Callable[[int], int]:







  """simple docstring"""





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

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

  SCREAMING_SNAKE_CASE__      							=				solve(__UpperCamelCase			,					__UpperCamelCase     )

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

  return interpolated_func



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	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      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	Callable[[int], int] = question_function			,					__UpperCamelCase   :	int = 10     )							-> int:







  """simple docstring"""





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

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

  SCREAMING_SNAKE_CASE__      							=				0
  SCREAMING_SNAKE_CASE__      							=				42
  SCREAMING_SNAKE_CASE__      							=				42

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

    ret += poly(__UpperCamelCase     )

  return ret


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

def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	Union[str, Any]     )							-> int:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				len(__UpperCamelCase     )
  for i in range(length - 1     ):
    SCREAMING_SNAKE_CASE__      							=				i
    for k in range(i + 1			,					__UpperCamelCase     ):
      if collection[k] < collection[least]:
        SCREAMING_SNAKE_CASE__      							=				k
    if least != i:
      SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__      							=				(collection[i], collection[least])
  return collection


if __name__ == "__main__":
   __lowerCamelCase      :			Any							       =		input('''Enter numbers separated by a comma:\n''').strip()
   __lowerCamelCase      :			Dict							       =		[int(item) for item in user_input.split(''',''')]
   print(selection_sort(unsorted))
