
from __future__ import annotations

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






class     UpperCAmelCase						:



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


          '''simple docstring'''


          if components is None:
                 snake_case			:  Optional[Any]     							= []
          snake_case			:  List[Any]     							= list(snake_case__					)



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


          '''simple docstring'''


          return len(self.__components					)



   def __str__(self						:   str					)						->      str:


          '''simple docstring'''


          return "(" + ",".join(map(snake_case__       ,		self.__components					)					) + ")"



   def __add__(self						:   List[Any]       ,		snake_case__						:   Vector					)						->      Vector:


          '''simple docstring'''


          snake_case			:  List[str]     							= len(self					)
          if size == len(snake_case__					):
                 snake_case			:  Tuple     							= [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					)						->      Vector:


          '''simple docstring'''


          snake_case			:  Tuple     							= len(self					)
          if size == len(snake_case__					):
                 snake_case			:  Optional[int]     							= [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						:   Union[str, Any]       ,		snake_case__						:   float					)						->      Vector:


          '''simple docstring'''


          ...



   @overload
   def __mul__(self						:   Dict       ,		snake_case__						:   Vector					)						->      float:


          '''simple docstring'''


          ...



   def __mul__(self						:   Optional[Any]       ,		snake_case__						:   float | Vector					)						->      float | Vector:


          '''simple docstring'''


          if isinstance(snake_case__       ,		(float, int)					):
                 snake_case			:  int     							= [c * other for c in self.__components]
                 return Vector(snake_case__					)
          elif isinstance(snake_case__       ,		snake_case__					) and len(self					) == len(snake_case__					):
                 snake_case			:  Optional[Any]     							= len(self					)
                 snake_case			:  Union[str, Any]     							= [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 							_SCREAMING_SNAKE_CASE  (self						:   Union[str, Any]					)						->      Vector:


          '''simple docstring'''


          return Vector(self.__components					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Any       ,		snake_case__						:   int					)						->      float:


          '''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 							_SCREAMING_SNAKE_CASE  (self						:   Optional[int]       ,		snake_case__						:   int       ,		snake_case__						:   float					)						->      None:


          '''simple docstring'''


          assert -len(self.__components					) <= pos < len(self.__components					)
          snake_case			:  Dict     							= value



   def 							_SCREAMING_SNAKE_CASE  (self						:   int					)						->      float:


          '''simple docstring'''


          if len(self.__components					) == 0:
                 raise Exception("Vector is empty"					)
          snake_case			:  Union[str, Any]     							= [c**2 for c in self.__components]
          return math.sqrt(sum(snake_case__					)					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Any       ,		snake_case__						:   Vector       ,		snake_case__						:   bool = False					)						->      float:


          '''simple docstring'''


          snake_case			:  Any     							= self * other
          snake_case			:  List[Any]     							= self.euclidean_length() * other.euclidean_length()
          if deg:
                 return math.degrees(math.acos(num / den					)					)
          else:
                 return math.acos(num / den					)



def      UpperCamelCase   (       __lowerCamelCase	:					int       ):
       assert isinstance(__lowerCamelCase							,   __lowerCamelCase       )
       return Vector([0] * dimension       )


def      UpperCamelCase   (       __lowerCamelCase	:					int							,   __lowerCamelCase	:					int       ):
       assert isinstance(__lowerCamelCase							,   __lowerCamelCase       ) and (isinstance(__lowerCamelCase							,   __lowerCamelCase       ))
       snake_case			:  Tuple     							= [0] * dimension
       snake_case			:  str     							= 1
       return Vector(__lowerCamelCase       )


def      UpperCamelCase   (       __lowerCamelCase	:					float							,   __lowerCamelCase	:					Vector							,   __lowerCamelCase	:					Vector       ):
       assert (
           isinstance(__lowerCamelCase							,   __lowerCamelCase       )
           and isinstance(__lowerCamelCase							,   __lowerCamelCase       )
           and (isinstance(__lowerCamelCase							,   (int, float)       ))
       )
       return x * scalar + y


def      UpperCamelCase   (       __lowerCamelCase	:					int							,   __lowerCamelCase	:					int							,   __lowerCamelCase	:					int       ):
       random.seed(__lowerCamelCase       )
       snake_case			:  Any     							= [random.randint(__lowerCamelCase							,   __lowerCamelCase       ) for _ in range(__lowerCamelCase       )]
       return Vector(__lowerCamelCase       )






class     UpperCAmelCase						:



   def __init__(self						:   List[str]       ,		snake_case__						:   list[list[float]]       ,		snake_case__						:   int       ,		snake_case__						:   int					)						->      None:


          '''simple docstring'''


          snake_case			:  Union[str, Any]     							= matrix
          snake_case			:  Tuple     							= w
          snake_case			:  Union[str, Any]     							= h



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


          '''simple docstring'''


          snake_case			:  Dict     							= ""
          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						:   Union[str, Any]       ,		snake_case__						:   Matrix					)						->      Matrix:


          '''simple docstring'''


          if self.__width == other.width() and self.__height == other.height():
                 snake_case			:  List[str]     							= []
                 for i in range(self.__height					):
                        snake_case			:  List[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					)						->      Matrix:


          '''simple docstring'''


          if self.__width == other.width() and self.__height == other.height():
                 snake_case			:  Optional[int]     							= []
                 for i in range(self.__height					):
                        snake_case			:  List[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						:   Dict       ,		snake_case__						:   float					)						->      Matrix:


          '''simple docstring'''


          ...



   @overload
   def __mul__(self						:   Optional[int]       ,		snake_case__						:   Vector					)						->      Vector:


          '''simple docstring'''


          ...



   def __mul__(self						:   Any       ,		snake_case__						:   float | Vector					)						->      Vector | Matrix:


          '''simple docstring'''


          if isinstance(snake_case__       ,		snake_case__					):  # matrix-vector
                 if len(snake_case__					) == self.__width:
                        snake_case			:  Dict     							= zero_vector(self.__height					)
                        for i in range(self.__height					):
                               snake_case			:  str     							= [
                                   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
                 snake_case			:  Optional[Any]     							= [
                     [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 							_SCREAMING_SNAKE_CASE  (self						:   List[Any]					)						->      int:


          '''simple docstring'''


          return self.__height



   def 							_SCREAMING_SNAKE_CASE  (self						:   int					)						->      int:


          '''simple docstring'''


          return self.__width



   def 							_SCREAMING_SNAKE_CASE  (self						:   Optional[int]       ,		snake_case__						:   int       ,		snake_case__						:   int					)						->      float:


          '''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 							_SCREAMING_SNAKE_CASE  (self						:   Optional[int]       ,		snake_case__						:   int       ,		snake_case__						:   int       ,		snake_case__						:   float					)						->      None:


          '''simple docstring'''


          if 0 <= x < self.__height and 0 <= y < self.__width:
                 snake_case			:  Any     							= value
          else:
                 raise Exception("change_component: indices out of bounds"					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   List[Any]       ,		snake_case__						:   int       ,		snake_case__						:   int					)						->      float:


          '''simple docstring'''


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



   def 							_SCREAMING_SNAKE_CASE  (self						:   List[str]       ,		snake_case__						:   int       ,		snake_case__						:   int					)						->      float:


          '''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 							_SCREAMING_SNAKE_CASE  (self						:   Any					)						->      float:


          '''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:
                 snake_case			:  List[str]     							= [
                     self.__matrix[0][y] * self.cofactor(0       ,		snake_case__					) for y in range(self.__width					)
                 ]
                 return sum(snake_case__					)



def      UpperCamelCase   (       __lowerCamelCase	:					int       ):
       snake_case			:  list[list[float]]     							= [[0] * n for _ in range(__lowerCamelCase       )]
       return Matrix(__lowerCamelCase							,   __lowerCamelCase							,   __lowerCamelCase       )




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







import secrets
from random import shuffle
from string import ascii_letters, ascii_lowercase, ascii_uppercase, digits, punctuation


def      UpperCamelCase   (       __lowerCamelCase	:					int = 8       ):
       snake_case			:  int     							= ascii_letters + digits + punctuation
       return "".join(secrets.choice(__lowerCamelCase       ) for _ in range(__lowerCamelCase       )       )


def      UpperCamelCase   (       __lowerCamelCase	:					str							,   __lowerCamelCase	:					int       ):
       # Password Generator = full boot with random_number, random_letters, and
       # random_character FUNCTIONS
       # Put your code here...
       i -= len(__lowerCamelCase       )
       snake_case			:  Any     							= i // 3
       snake_case			:  Optional[int]     							= i % 3
       # chars = chars_incl + random_letters(ascii_letters, i / 3 + remainder) +
       #     random_number(digits, i / 3) + random_characters(punctuation, i / 3)
       snake_case			:  Tuple     							= (
           chars_incl
           + random(__lowerCamelCase							,   quotient + remainder       )
           + random(__lowerCamelCase							,   __lowerCamelCase       )
           + random(__lowerCamelCase							,   __lowerCamelCase       )
       )
       snake_case			:  Optional[Any]     							= list(__lowerCamelCase       )
       shuffle(__lowerCamelCase       )
       return "".join(__lowerCamelCase       )

       # random is a generalised function for letters, characters and numbers


def      UpperCamelCase   (       __lowerCamelCase	:					str							,   __lowerCamelCase	:					int       ):
       return "".join(secrets.choice(__lowerCamelCase       ) for _ in range(__lowerCamelCase       )       )


def      UpperCamelCase   (       __lowerCamelCase	:					List[str]							,   __lowerCamelCase	:					str       ):
       pass  # Put your code here...


def      UpperCamelCase   (       __lowerCamelCase	:					Optional[int]							,   __lowerCamelCase	:					List[str]       ):
       pass  # Put your code here...


def      UpperCamelCase   (       __lowerCamelCase	:					Any							,   __lowerCamelCase	:					List[Any]       ):
       pass  # Put your code here...


def      UpperCamelCase   (       __lowerCamelCase	:					str							,   __lowerCamelCase	:					int = 8       ):

       if len(__lowerCamelCase       ) < min_length:
              # Your Password must be at least 8 characters long
              return False

       snake_case			:  Dict     							= any(char in ascii_uppercase for char in password       )
       snake_case			:  Optional[int]     							= any(char in ascii_lowercase for char in password       )
       snake_case			:  str     							= any(char in digits for char in password       )
       snake_case			:  str     							= any(char in punctuation for char in password       )

       return upper and lower and num and spec_char
       # Passwords should contain UPPERCASE, lowerase
       # numbers, and special characters


def      UpperCamelCase   (       ):
       snake_case			:  int     							= int(input("Please indicate the max length of your password: "       ).strip()       )
       snake_case			:  Union[str, Any]     							= input(
           "Please indicate the characters that must be in your password: "       ).strip()
       print("Password generated:"							,   password_generator(__lowerCamelCase       )       )
       print(
           "Alternative Password generated:"							,   alternative_password_generator(__lowerCamelCase							,   __lowerCamelCase       )							,   )
       print("[If you are thinking of using this passsword, You better save it.]"       )


if __name__ == "__main__":
   main()





