'''simple docstring'''






from __future__ import annotations




class    a :



  """simple docstring"""







  def __init__(							self   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					List[str]		= TypeError(
        """Matrices must be formed from a list of zero or more lists containing at """
        """least one and the same number of values, each of which must be of type """
        """int or float."""					)
    if len(snake_case_					) != 0:
      __UpperCAmelCase:					int		= len(rows[0]					)
      if cols == 0:
        raise error
      for row in rows:
        if len(snake_case_					) != cols:
          raise error
        for value in row:
          if not isinstance(snake_case_   ,    (int, float)					):
            raise error
      __UpperCAmelCase:					List[str]		= rows
    else:
      __UpperCAmelCase:					Optional[int]		= []







  def    lowercase_  (							self					):

    '''simple docstring'''







    return [[row[i] for row in self.rows] for i in range(len(self.rows[0]					)					)]







  @property
  def    lowercase_  (							self					):

    '''simple docstring'''







    return len(self.rows					)







  @property
  def    lowercase_  (							self					):

    '''simple docstring'''







    return len(self.rows[0]					)







  @property
  def    lowercase_  (							self					):

    '''simple docstring'''







    return (self.num_rows, self.num_columns)







  @property
  def    lowercase_  (							self					):

    '''simple docstring'''







    return self.order[0] == self.order[1]







  def    lowercase_  (							self					):

    '''simple docstring'''







    __UpperCAmelCase:					Tuple		= [
        [0 if column_num != row_num else 1 for column_num in range(self.num_rows					)]
        for row_num in range(self.num_rows					)
    ]
    return Matrix(snake_case_					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    if not self.is_square:
      return 0
    if self.order == (0, 0):
      return 1
    if self.order == (1, 1):
      return int(self.rows[0][0]					)
    if self.order == (2, 2):
      return int(
          (self.rows[0][0] * self.rows[1][1])
          - (self.rows[0][1] * self.rows[1][0])					)
    else:
      return sum(
          self.rows[0][column] * self.cofactors().rows[0][column]
          for column in range(self.num_columns					)					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    return bool(self.determinant()					)







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					Tuple		= [
        [
            self.rows[other_row][other_column]
            for other_column in range(self.num_columns					)
            if other_column != column
        ]
        for other_row in range(self.num_rows					)
        if other_row != row
    ]
    return Matrix(snake_case_					).determinant()







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    if (row + column) % 2 == 0:
      return self.get_minor(snake_case_   ,    snake_case_					)
    return -1 * self.get_minor(snake_case_   ,    snake_case_					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    return Matrix(
        [
            [self.get_minor(snake_case_   ,    snake_case_					) for column in range(self.num_columns					)]
            for row in range(self.num_rows					)
        ]					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    return Matrix(
        [
            [
                self.minors().rows[row][column]
                if (row + column) % 2 == 0
                else self.minors().rows[row][column] * -1
                for column in range(self.minors().num_columns					)
            ]
            for row in range(self.minors().num_rows					)
        ]					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    __UpperCAmelCase:					Union[str, Any]		= [
        [self.cofactors().rows[column][row] for column in range(self.num_columns					)]
        for row in range(self.num_rows					)
    ]
    return Matrix(snake_case_					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    __UpperCAmelCase:					Tuple		= self.determinant()
    if not determinant:
      raise TypeError("""Only matrices with a non-zero determinant have an inverse"""					)
    return self.adjugate() * (1 / determinant)







  def __repr__(							self					):

    '''simple docstring'''







    return str(self.rows					)







  def __str__(							self					):

    '''simple docstring'''







    if self.num_rows == 0:
      return "[]"
    if self.num_rows == 1:
      return "[[" + ". ".join(str(self.rows[0]					)					) + "]]"
    return (
        "["
        + "\n ".join(
            [
                """[""" + """. """.join([str(snake_case_					) for value in row]					) + """.]"""
                for row in self.rows
            ]					)
        + "]"
    )







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = None					):

    '''simple docstring'''







    __UpperCAmelCase:					List[Any]		= TypeError("""Row must be a list containing all ints and/or floats"""					)
    if not isinstance(snake_case_   ,    snake_case_					):
      raise type_error
    for value in row:
      if not isinstance(snake_case_   ,    (int, float)					):
        raise type_error
    if len(snake_case_					) != self.num_columns:
      raise ValueError(
          """Row must be equal in length to the other rows in the matrix"""					)
    if position is None:
      self.rows.append(snake_case_					)
    else:
      __UpperCAmelCase:					Optional[Any]		= self.rows[0:position] + [row] + self.rows[position:]







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = None					):

    '''simple docstring'''







    __UpperCAmelCase:					Optional[Any]		= TypeError(
        """Column must be a list containing all ints and/or floats"""					)
    if not isinstance(snake_case_   ,    snake_case_					):
      raise type_error
    for value in column:
      if not isinstance(snake_case_   ,    (int, float)					):
        raise type_error
    if len(snake_case_					) != self.num_rows:
      raise ValueError(
          """Column must be equal in length to the other columns in the matrix"""					)
    if position is None:
      __UpperCAmelCase:					str		= [self.rows[i] + [column[i]] for i in range(self.num_rows					)]
    else:
      __UpperCAmelCase:					Tuple		= [
          self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
          for i in range(self.num_rows					)
      ]







  def __eq__(							self   ,    snake_case_					):

    '''simple docstring'''







    if not isinstance(snake_case_   ,    snake_case_					):
      return NotImplemented
    return self.rows == other.rows







  def __ne__(							self   ,    snake_case_					):

    '''simple docstring'''







    return not self == other







  def __neg__(							self					):

    '''simple docstring'''







    return self * -1







  def __add__(							self   ,    snake_case_					):

    '''simple docstring'''







    if self.order != other.order:
      raise ValueError("""Addition requires matrices of the same order"""					)
    return Matrix(
        [
            [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns					)]
            for i in range(self.num_rows					)
        ]					)







  def __sub__(							self   ,    snake_case_					):

    '''simple docstring'''







    if self.order != other.order:
      raise ValueError("""Subtraction requires matrices of the same order"""					)
    return Matrix(
        [
            [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns					)]
            for i in range(self.num_rows					)
        ]					)







  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







    if isinstance(snake_case_   ,    (int, float)					):
      return Matrix(
          [[int(element * other					) for element in row] for row in self.rows]					)
    elif isinstance(snake_case_   ,    snake_case_					):
      if self.num_columns != other.num_rows:
        raise ValueError(
            """The number of columns in the first matrix must """
            """be equal to the number of rows in the second"""					)
      return Matrix(
          [
              [Matrix.dot_product(snake_case_   ,    snake_case_					) for column in other.columns()]
              for row in self.rows
          ]					)
    else:
      raise TypeError(
          """A Matrix can only be multiplied by an int, float, or another matrix"""					)







  def __pow__(							self   ,    snake_case_					):

    '''simple docstring'''







    if not isinstance(snake_case_   ,    snake_case_					):
      raise TypeError("""A Matrix can only be raised to the power of an int"""					)
    if not self.is_square:
      raise ValueError("""Only square matrices can be raised to a power"""					)
    if other == 0:
      return self.identity()
    if other < 0:
      if self.is_invertable():
        return self.inverse() ** (-other)
      raise ValueError(
          """Only invertable matrices can be raised to a negative power"""					)
    __UpperCAmelCase:					int		= self
    for _ in range(other - 1					):
      result *= self
    return result







  @classmethod
  def    lowercase_  (							cls   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    return sum(row[i] * column[i] for i in range(len(snake_case_					)					)					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
'''simple docstring'''






from __future__ import annotations

import time

import numpy as np

SCREAMING_SNAKE_CASE_	   =			[8, 5, 9, 7]
SCREAMING_SNAKE_CASE_	   =			[
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
SCREAMING_SNAKE_CASE_	   =			[
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]




class    a :



  """simple docstring"""







  def __init__(							self   ,    snake_case_   ,    snake_case_   ,    snake_case_   ,    ):

    '''simple docstring'''







    __UpperCAmelCase:					str		= claim_vector
    __UpperCAmelCase:					Optional[Any]		= allocated_resources_table
    __UpperCAmelCase:					List[str]		= maximum_claim_table







  def    lowercase_  (							self					):

    '''simple docstring'''







    return [
        sum(p_item[i] for p_item in self.__allocated_resources_table					)
        for i in range(len(self.__allocated_resources_table[0]					)					)
    ]







  def    lowercase_  (							self					):

    '''simple docstring'''







    return np.array(self.__claim_vector					) - np.array(
        self.__processes_resource_summation()					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    return [
        list(np.array(self.__maximum_claim_table[i]					) - np.array(snake_case_					)					)
        for i, allocated_resource in enumerate(self.__allocated_resources_table					)
    ]







  def    lowercase_  (							self					):

    '''simple docstring'''







    return {self.__need().index(snake_case_					): i for i in self.__need()}







  def    lowercase_  (							self   ,    **snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					Dict		= self.__need()
    __UpperCAmelCase:					Optional[Any]		= self.__allocated_resources_table
    __UpperCAmelCase:					int		= self.__available_resources()
    __UpperCAmelCase:					List[Any]		= self.__need_index_manager()
    for kw, val in kwargs.items():
      if kw and val is True:
        self.__pretty_data()
    print("""_""" * 50 + """\n"""					)
    while need_list:
      __UpperCAmelCase:					Any		= False
      for each_need in need_list:
        __UpperCAmelCase:					Any		= True
        for index, need in enumerate(snake_case_					):
          if need > available_resources[index]:
            __UpperCAmelCase:					Tuple		= False
            break
        if execution:
          __UpperCAmelCase:					Optional[int]		= True
          # get the original index of the process from ind_ctrl db
          for original_need_index, need_clone in need_index_manager.items():
            if each_need == need_clone:
              __UpperCAmelCase:					Tuple		= original_need_index
          print(F'''Process {process_number + 1} is executing.'''					)
          # remove the process run from stack
          need_list.remove(snake_case_					)
          # update available/freed resources stack
          __UpperCAmelCase:					Dict		= np.array(snake_case_					) + np.array(
              alloc_resources_table[process_number]					)
          print(
              """Updated available resource stack for processes: """
              + """ """.join([str(snake_case_					) for x in available_resources]					)					)
          break
      if safe:
        print("""The process is in a safe state.\n"""					)
      else:
        print("""System in unsafe state. Aborting...\n"""					)
        break







  def    lowercase_  (							self					):

    '''simple docstring'''







    print(""" """ * 9 + """Allocated Resource Table"""					)
    for item in self.__allocated_resources_table:
      print(
          F'''P{self.__allocated_resources_table.index(snake_case_					) + 1}'''
          + """ """.join(F'''{it:>8}''' for it in item					)
          + """\n"""					)
    print(""" """ * 9 + """System Resource Table"""					)
    for item in self.__maximum_claim_table:
      print(
          F'''P{self.__maximum_claim_table.index(snake_case_					) + 1}'''
          + """ """.join(F'''{it:>8}''' for it in item					)
          + """\n"""					)
    print(
        """Current Usage by Active Processes: """
        + """ """.join(str(snake_case_					) for x in self.__claim_vector					)					)
    print(
        """Initial Available Resources:       """
        + """ """.join(str(snake_case_					) for x in self.__available_resources()					)					)
    time.sleep(1					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()