
from __future__ import annotations

from decimal import Decimal

from numpy import array


def 		UpperCAmelCase     (      a_		)						->      List[str]:







				"""simple docstring"""



				__A       =					Decimal

				# Check if the provided matrix has 2 rows and 2 columns
				# since this implementation only works for 2x2 matrices
				if len(__lowercase		) == 2 and len(matrix[0]		) == 2 and len(matrix[1]		) == 2:
								# Calculate the determinant of the matrix
								__A       =					float(
								    d(matrix[0][0]		) * d(matrix[1][1]		) - d(matrix[1][0]		) * d(matrix[0][1]		)		)
								if determinant == 0:
												raise ValueError("This matrix has no inverse."		)

								# Creates a copy of the matrix with swapped positions of the elements
								__A       =					[[0.0, 0.0], [0.0, 0.0]]
								__A       =					matrix[1][1], matrix[0][0]
								__A       =					-matrix[1][0], -matrix[0][1]

								# Calculate the inverse of the matrix
								return [
								    [(float(d(__lowercase		)		) / determinant) or 0.0 for n in row] for row in swapped_matrix
								]
				elif (
				    len(__lowercase		) == 3
				    and len(matrix[0]		) == 3
				    and len(matrix[1]		) == 3
				    and len(matrix[2]		) == 3
				):
								# Calculate the determinant of the matrix using Sarrus rule
								__A       =					float(
								    (
								        (d(matrix[0][0]		) * d(matrix[1][1]		) * d(matrix[2][2]		))
								        + (d(matrix[0][1]		) * d(matrix[1][2]		) * d(matrix[2][0]		))
								        + (d(matrix[0][2]		) * d(matrix[1][0]		) * d(matrix[2][1]		))
								    )
								    - (
								        (d(matrix[0][2]		) * d(matrix[1][1]		) * d(matrix[2][0]		))
								        + (d(matrix[0][1]		) * d(matrix[1][0]		) * d(matrix[2][2]		))
								        + (d(matrix[0][0]		) * d(matrix[1][2]		) * d(matrix[2][1]		))
								    )		)
								if determinant == 0:
												raise ValueError("This matrix has no inverse."		)

								# Creating cofactor matrix
								__A       =					[
								    [d(0.0		), d(0.0		), d(0.0		)],
								    [d(0.0		), d(0.0		), d(0.0		)],
								    [d(0.0		), d(0.0		), d(0.0		)],
								]
								__A       =					(d(matrix[1][1]		) * d(matrix[2][2]		)) - (
								    d(matrix[1][2]		) * d(matrix[2][1]		)
								)
								__A       =					-(
								    (d(matrix[1][0]		) * d(matrix[2][2]		)) - (d(matrix[1][2]		) * d(matrix[2][0]		))
								)
								__A       =					(d(matrix[1][0]		) * d(matrix[2][1]		)) - (
								    d(matrix[1][1]		) * d(matrix[2][0]		)
								)
								__A       =					-(
								    (d(matrix[0][1]		) * d(matrix[2][2]		)) - (d(matrix[0][2]		) * d(matrix[2][1]		))
								)
								__A       =					(d(matrix[0][0]		) * d(matrix[2][2]		)) - (
								    d(matrix[0][2]		) * d(matrix[2][0]		)
								)
								__A       =					-(
								    (d(matrix[0][0]		) * d(matrix[2][1]		)) - (d(matrix[0][1]		) * d(matrix[2][0]		))
								)
								__A       =					(d(matrix[0][1]		) * d(matrix[1][2]		)) - (
								    d(matrix[0][2]		) * d(matrix[1][1]		)
								)
								__A       =					-(
								    (d(matrix[0][0]		) * d(matrix[1][2]		)) - (d(matrix[0][2]		) * d(matrix[1][0]		))
								)
								__A       =					(d(matrix[0][0]		) * d(matrix[1][1]		)) - (
								    d(matrix[0][1]		) * d(matrix[1][0]		)
								)

								# Transpose the cofactor matrix (Adjoint matrix)
								__A       =					array(__lowercase		)
								for i in range(3		):
												for j in range(3		):
																__A       =					cofactor_matrix[j][i]

																    # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
								__A       =					array(__lowercase		)
								for i in range(3		):
												for j in range(3		):
																inverse_matrix[i][j] /= d(__lowercase		)

																    # Calculate the inverse of the matrix
								return [[float(d(__lowercase		)		) or 0.0 for n in row] for row in inverse_matrix]
				raise ValueError("Please provide a matrix of size 2x2 or 3x3."		)


"""simple docstring"""






from manim import *





class 				a__					(						A__       ):



     def  lowerCamelCase_						(							self :List[Any]   ):







      '''simple docstring'''



      UpperCamelCase_     :					Tuple   	=Rectangle(height=0.5      ,  width=0.5   )
      UpperCamelCase_     :					Any   	=Rectangle(height=0.46      ,  width=0.46   ).set_stroke(width=0   )

      UpperCamelCase_     :					Any   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					Optional[int]   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					List[str]   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					Optional[int]   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					Union[str, Any]   	=VGroup(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					str   	=Text('CPU'      ,  font_size=24   )
      UpperCamelCase_     :					str   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0.5      ,  aligned_edge=_lowerCamelCase   )
      cpu.move_to([-2.5, -0.5, 0]   )
      self.add(_lowerCamelCase   )

      UpperCamelCase_     :					int   	=[mem.copy() for i in range(4   )]
      UpperCamelCase_     :					Any   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )
      UpperCamelCase_     :					List[Any]   	=Text('GPU'      ,  font_size=24   )
      UpperCamelCase_     :					Any   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0.5      ,  aligned_edge=_lowerCamelCase   )
      gpu.move_to([-1, -1, 0]   )
      self.add(_lowerCamelCase   )

      UpperCamelCase_     :					List[str]   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					str   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )

      UpperCamelCase_     :					Optional[int]   	=Text('Model'      ,  font_size=24   )
      UpperCamelCase_     :					List[Any]   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0.5      ,  aligned_edge=_lowerCamelCase   )
      model.move_to([3, -1.0, 0]   )
      self.add(_lowerCamelCase   )

      UpperCamelCase_     :					int   	=[]
      for i, rect in enumerate(_lowerCamelCase   ):
       rect.set_stroke(_lowerCamelCase   )
       # target = fill.copy().set_fill(YELLOW, opacity=0.7)
       # target.move_to(rect)
       # self.add(target)

       UpperCamelCase_     :					str   	=Rectangle(height=0.46 / 4      ,  width=0.46 / 3   ).set_stroke(width=0.0   ).set_fill(_lowerCamelCase      ,  opacity=0.7   )

       if i == 0:
        cpu_target.next_to(cpu_left_col_base[0].get_corner(DOWN + LEFT   )      ,  buff=0.02      ,  direction=_lowerCamelCase   )
        cpu_target.set_x(cpu_target.get_x() + 0.1   )
       elif i == 3:
        cpu_target.next_to(cpu_targs[0]      ,  direction=_lowerCamelCase      ,  buff=0.0   )
       else:
        cpu_target.next_to(cpu_targs[i - 1]      ,  direction=_lowerCamelCase      ,  buff=0.0   )
       self.add(_lowerCamelCase   )
       cpu_targs.append(_lowerCamelCase   )

      UpperCamelCase_     :					List[str]   	=[mem.copy() for i in range(6   )]
      UpperCamelCase_     :					Any   	=VGroup(*_lowerCamelCase   ).arrange(_lowerCamelCase      ,  buff=0   )

      UpperCamelCase_     :					Optional[int]   	=Text('Loaded Checkpoint'      ,  font_size=24   )
      UpperCamelCase_     :					List[Any]   	=Group(_lowerCamelCase      ,  _lowerCamelCase   ).arrange(_lowerCamelCase      ,  aligned_edge=_lowerCamelCase      ,  buff=0.4   )
      checkpoint.move_to([3, 0.5, 0]   )

      UpperCamelCase_     :					int   	=Square(side_length=2.2   )
      key.move_to([-5, 2, 0]   )

      UpperCamelCase_     :					Optional[Any]   	=MarkupText(
          f'''<b>Key:</b>\n\n<span fgcolor=\'{YELLOW}\'>●</span> Empty Model'''      ,  font_size=18      ,  )

      key_text.move_to([-5, 2.4, 0]   )

      self.add(_lowerCamelCase      ,  _lowerCamelCase   )

      UpperCamelCase_     :					Any   	=MarkupText(
          f'''<span fgcolor=\'{BLUE}\'>●</span> Checkpoint'''      ,  font_size=18      ,  )

      blue_text.next_to(_lowerCamelCase      ,  DOWN * 2.4      ,  aligned_edge=key_text.get_left()   )

      UpperCamelCase_     :					Dict   	=MarkupText(
          f'''Next, a <i><span fgcolor="{BLUE}">second</span></i> model is loaded into memory,\nwith the weights of a <span fgcolor="{BLUE}">single shard</span>.'''      ,  font_size=24      ,  )
      step_a.move_to([2, 2, 0]   )
      self.play(Write(_lowerCamelCase   )      ,  Write(_lowerCamelCase   )   )

      self.play(Write(_lowerCamelCase      ,  run_time=1   )      ,  Create(_lowerCamelCase      ,  run_time=1   )   )

      UpperCamelCase_     :					Union[str, Any]   	=[]
      UpperCamelCase_     :					List[Any]   	=[]
      for i, rect in enumerate(_lowerCamelCase   ):
       UpperCamelCase_     :					str   	=fill.copy().set_fill(_lowerCamelCase      ,  opacity=0.7   )
       target.move_to(_lowerCamelCase   )
       first_animations.append(GrowFromCenter(_lowerCamelCase      ,  run_time=1   )   )

       UpperCamelCase_     :					Any   	=target.copy()
       cpu_target.generate_target()
       if i < 5:
        cpu_target.target.move_to(cpu_left_col_base[i + 1]   )
       else:
        cpu_target.target.move_to(cpu_right_col_base[i - 5]   )
       second_animations.append(MoveToTarget(_lowerCamelCase      ,  run_time=1.5   )   )

      self.play(*_lowerCamelCase   )
      self.play(*_lowerCamelCase   )
      self.wait()
