






"""simple docstring"""



from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload




class 			lowerCAmelCase__			:
   def __init__(		self      :	List[Any]							,			snake_case__      :	Collection[float] | None = None							):


        '''simple docstring'''
        if components is None:
             UpperCAmelCase__						:    Any							=							[]
        UpperCAmelCase__						:    Any							=							list(snake_case__							)
   def __len__(		self      :	Any							):


        '''simple docstring'''
        return len(self.__components							)
   def __str__(		self      :	Optional[int]							):


        '''simple docstring'''
        return "(" + ",".join(map(snake_case__							,			self.__components							)							) + ")"
   def __add__(		self      :	Union[str, Any]							,			snake_case__      :	Vector							):


        '''simple docstring'''
        UpperCAmelCase__						:    int							=							len(self							)
        if size == len(snake_case__							):
             UpperCAmelCase__						:    List[Any]							=							[self.__components[i] + other.component(snake_case__							) for i in range(snake_case__							)]
             return Vector(snake_case__							)
        else:
             raise Exception("must have the same size"							)
   def __sub__(		self      :	Any							,			snake_case__      :	Vector							):


        '''simple docstring'''
        UpperCAmelCase__						:    Dict							=							len(self							)
        if size == len(snake_case__							):
             UpperCAmelCase__						:    str							=							[self.__components[i] - other.component(snake_case__							) for i in range(snake_case__							)]
             return Vector(snake_case__							)
        else:  # error case
             raise Exception("must have the same size"							)
   @overload
   def __mul__(		self      :	Dict							,			snake_case__      :	float							):


        '''simple docstring'''
        ...
   @overload
   def __mul__(		self      :	Tuple							,			snake_case__      :	Vector							):


        '''simple docstring'''
        ...
   def __mul__(		self      :	Optional[Any]							,			snake_case__      :	float | Vector							):


        '''simple docstring'''
        if isinstance(snake_case__							,			(float, int)							):
             UpperCAmelCase__						:    Optional[Any]							=							[c * other for c in self.__components]
             return Vector(snake_case__							)
        elif isinstance(snake_case__							,			snake_case__							) and len(self							) == len(snake_case__							):
             UpperCAmelCase__						:    Optional[Any]							=							len(self							)
             UpperCAmelCase__						:    Tuple							=							[self.__components[i] * other.component(snake_case__							) for i in range(snake_case__							)]
             return sum(snake_case__							)
        else:  # error case
             raise Exception("invalid operand!"							)
   def       __a							(		self      :	str							):


        '''simple docstring'''
        return Vector(self.__components							)
   def       __a							(		self      :	int							,			snake_case__      :	int							):


        '''simple docstring'''
        if isinstance(snake_case__							,			snake_case__							) and -len(self.__components							) <= i < len(self.__components							):
             return self.__components[i]
        else:
             raise Exception("index out of range"							)
   def       __a							(		self      :	Any							,			snake_case__      :	int							,			snake_case__      :	float							):


        '''simple docstring'''
        assert -len(self.__components							) <= pos < len(self.__components							)
        UpperCAmelCase__						:    Optional[int]							=							value
   def       __a							(		self      :	Optional[int]							):


        '''simple docstring'''
        if len(self.__components							) == 0:
             raise Exception("Vector is empty"							)
        UpperCAmelCase__						:    Optional[int]							=							[c**2 for c in self.__components]
        return math.sqrt(sum(snake_case__							)							)




   def       __a							(		self      :	Optional[int]							,			snake_case__      :	Vector							,			snake_case__      :	bool = False							):


        '''simple docstring'''
        UpperCAmelCase__						:    Tuple							=							self * other
        UpperCAmelCase__						:    List[str]							=							self.euclidean_length() * other.euclidean_length()
        if deg:
             return math.degrees(math.acos(num / den							)							)
        else:
             return math.acos(num / den							)




def 	SCREAMING_SNAKE_CASE__       (  snake_case       : int				)->		Vector:






     '''simple docstring'''



     assert isinstance(snake_case			,					snake_case				)
     return Vector([0] * dimension				)


def 	SCREAMING_SNAKE_CASE__       (  snake_case       : int			,					snake_case       : int				)->		Vector:






     '''simple docstring'''



     assert isinstance(snake_case			,					snake_case				) and (isinstance(snake_case			,					snake_case				))
     UpperCAmelCase__						:    Optional[int]							=							[0] * dimension
     UpperCAmelCase__						:    Any							=							1
     return Vector(snake_case				)


def 	SCREAMING_SNAKE_CASE__       (  snake_case       : float			,					snake_case       : Vector			,					snake_case       : Vector				)->		Vector:






     '''simple docstring'''



     assert (
         isinstance(snake_case			,					snake_case				)
         and isinstance(snake_case			,					snake_case				)
         and (isinstance(snake_case			,					(int, float)				))
     )
     return x * scalar + y


def 	SCREAMING_SNAKE_CASE__       (  snake_case       : int			,					snake_case       : int			,					snake_case       : int				)->		Vector:






     '''simple docstring'''



     random.seed(snake_case				)
     UpperCAmelCase__						:    Optional[int]							=							[random.randint(snake_case			,					snake_case				) for _ in range(snake_case				)]
     return Vector(snake_case				)




class 			lowerCAmelCase__			:
   def __init__(		self      :	Any							,			snake_case__      :	list[list[float]]							,			snake_case__      :	int							,			snake_case__      :	int							):


        '''simple docstring'''
        UpperCAmelCase__						:    Optional[int]							=							matrix
        UpperCAmelCase__						:    Optional[Any]							=							w
        UpperCAmelCase__						:    str							=							h
   def __str__(		self      :	Any							):


        '''simple docstring'''
        UpperCAmelCase__						:    Union[str, Any]							=							""
        for i in range(self.__height							):
             ans += "|"
             for j in range(self.__width							):
                  if j < self.__width - 1:
                       ans += str(self.__matrix[i][j]							) + ","
                  else:
                       ans += str(self.__matrix[i][j]							) + "|\n"
        return ans
   def __add__(		self      :	Optional[Any]							,			snake_case__      :	Matrix							):


        '''simple docstring'''
        if self.__width == other.width() and self.__height == other.height():
             UpperCAmelCase__						:    List[Any]							=							[]
             for i in range(self.__height							):
                  UpperCAmelCase__						:    Optional[Any]							=							[
                      self.__matrix[i][j] + other.component(snake_case__							,			snake_case__							)
                      for j in range(self.__width							)
                  ]
                  matrix.append(snake_case__							)
             return Matrix(snake_case__							,			self.__width							,			self.__height							)
        else:
             raise Exception("matrix must have the same dimension!"							)
   def __sub__(		self      :	Union[str, Any]							,			snake_case__      :	Matrix							):


        '''simple docstring'''
        if self.__width == other.width() and self.__height == other.height():
             UpperCAmelCase__						:    int							=							[]
             for i in range(self.__height							):
                  UpperCAmelCase__						:    Union[str, Any]							=							[
                      self.__matrix[i][j] - other.component(snake_case__							,			snake_case__							)
                      for j in range(self.__width							)
                  ]
                  matrix.append(snake_case__							)
             return Matrix(snake_case__							,			self.__width							,			self.__height							)
        else:
             raise Exception("matrices must have the same dimension!"							)
   @overload
   def __mul__(		self      :	List[str]							,			snake_case__      :	float							):


        '''simple docstring'''
        ...
   @overload
   def __mul__(		self      :	Any							,			snake_case__      :	Vector							):


        '''simple docstring'''
        ...
   def __mul__(		self      :	str							,			snake_case__      :	float | Vector							):


        '''simple docstring'''
        if isinstance(snake_case__							,			snake_case__							):  # matrix-vector
             if len(snake_case__							) == self.__width:
                  UpperCAmelCase__						:    List[Any]							=							zero_vector(self.__height							)
                  for i in range(self.__height							):
                       UpperCAmelCase__						:    Optional[int]							=							[
                           self.__matrix[i][j] * other.component(snake_case__							)
                           for j in range(self.__width							)
                       ]
                       ans.change_component(snake_case__							,			sum(snake_case__							)							)
                  return ans
             else:
                  raise Exception(
                      "vector must have the same size as the "
                      "number of columns of the matrix!"							)
        elif isinstance(snake_case__							,			(int, float)							):  # matrix-scalar
             UpperCAmelCase__						:    List[str]							=							[
                 [self.__matrix[i][j] * other for j in range(self.__width							)]
                 for i in range(self.__height							)
             ]
             return Matrix(snake_case__							,			self.__width							,			self.__height							)
        return None
   def       __a							(		self      :	Dict							):


        '''simple docstring'''
        return self.__height
   def       __a							(		self      :	str							):


        '''simple docstring'''
        return self.__width
   def       __a							(		self      :	List[Any]							,			snake_case__      :	int							,			snake_case__      :	int							):


        '''simple docstring'''
        if 0 <= x < self.__height and 0 <= y < self.__width:
             return self.__matrix[x][y]
        else:
             raise Exception("change_component: indices out of bounds"							)
   def       __a							(		self      :	str							,			snake_case__      :	int							,			snake_case__      :	int							,			snake_case__      :	float							):


        '''simple docstring'''
        if 0 <= x < self.__height and 0 <= y < self.__width:
             UpperCAmelCase__						:    str							=							value
        else:
             raise Exception("change_component: indices out of bounds"							)
   def       __a							(		self      :	Tuple							,			snake_case__      :	int							,			snake_case__      :	int							):


        '''simple docstring'''
        if self.__height != self.__width:
             raise Exception("Matrix is not square"							)
        UpperCAmelCase__						:    Optional[int]							=							self.__matrix[:x] + self.__matrix[x + 1 :]
        for i in range(len(snake_case__							)							):
             UpperCAmelCase__						:    Any							=							minor[i][:y] + minor[i][y + 1 :]
        return Matrix(snake_case__							,			self.__width - 1							,			self.__height - 1							).determinant()
   def       __a							(		self      :	int							,			snake_case__      :	int							,			snake_case__      :	int							):


        '''simple docstring'''
        if self.__height != self.__width:
             raise Exception("Matrix is not square"							)
        if 0 <= x < self.__height and 0 <= y < self.__width:
             return (-1) ** (x + y) * self.minor(snake_case__							,			snake_case__							)
        else:
             raise Exception("Indices out of bounds"							)




   def       __a							(		self      :	Optional[int]							):


        '''simple docstring'''
        if self.__height != self.__width:
             raise Exception("Matrix is not square"							)
        if self.__height < 1:
             raise Exception("Matrix has no element"							)
        elif self.__height == 1:
             return self.__matrix[0][0]
        elif self.__height == 2:
             return (
                 self.__matrix[0][0] * self.__matrix[1][1]
                 - self.__matrix[0][1] * self.__matrix[1][0]
             )
        else:
             UpperCAmelCase__						:    Union[str, Any]							=							[
                 self.__matrix[0][y] * self.cofactor(0							,			snake_case__							) for y in range(self.__width							)
             ]
             return sum(snake_case__							)




def 	SCREAMING_SNAKE_CASE__       (  snake_case       : int				)->		Matrix:






     '''simple docstring'''



     UpperCAmelCase__						:    list[list[float]]							=							[[0] * n for _ in range(snake_case				)]
     return Matrix(snake_case			,					snake_case			,					snake_case				)



def 	SCREAMING_SNAKE_CASE__       (  snake_case       : int			,					snake_case       : int			,					snake_case       : int			,					snake_case       : int				)->		Matrix:






     '''simple docstring'''



     random.seed(snake_case				)
     UpperCAmelCase__						:    list[list[float]]							=							[
         [random.randint(snake_case			,					snake_case				) for _ in range(snake_case				)] for _ in range(snake_case				)
     ]
     return Matrix(snake_case			,					snake_case			,					snake_case				)










"""simple docstring"""



def 	SCREAMING_SNAKE_CASE__       (  snake_case       : Tuple				)->		str:






     '''simple docstring'''



     UpperCAmelCase__						:    List[str]							=							len(snake_case				)
     for i in range(length - 1				):
          UpperCAmelCase__						:    Any							=							i
          for k in range(i + 1			,					snake_case				):
               if collection[k] < collection[least]:
                    UpperCAmelCase__						:    Union[str, Any]							=							k
          if least != i:
               UpperCAmelCase__							,				UpperCAmelCase__						:    Union[str, Any]							=							(collection[i], collection[least])
     return collection


if __name__ == "__main__":
 _lowerCAmelCase	:	List[str]				=      input("""Enter numbers separated by a comma:\n""").strip()
 _lowerCAmelCase	:	Optional[int]				=      [int(item) for item in user_input.split(""",""")]
 print(selection_sort(unsorted))


