





'''simple docstring'''







from manim import *


class        __a   (lowerCamelCase  ):

							def      UpperCAmelCase__						(				self				:  str )       ->							Any:







													"""simple docstring"""
													UpperCAmelCase_      :   List[str]      =	Rectangle(height=0.5							,  width=0.5 )
													UpperCAmelCase_      :   int      =	Rectangle(height=0.4_6							,  width=0.4_6 ).set_stroke(width=0 )
													UpperCAmelCase_      :   str      =	Rectangle(height=0.2_5							,  width=0.2_5 )

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

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

													UpperCAmelCase_      :   Dict      =	[mem.copy() for i in range(6 )]
													UpperCAmelCase_      :   Optional[Any]      =	VGroup(*__magic_name__ ).arrange(__magic_name__							,  buff=0 )

													UpperCAmelCase_      :   Dict      =	Text('''Model'''							,  font_size=24 )
													UpperCAmelCase_      :   str      =	Group(__magic_name__							,  __magic_name__ ).arrange(__magic_name__							,  buff=0.5							,  aligned_edge=__magic_name__ )
													model.move_to([3, -1.0, 0] )
													self.add(__magic_name__ )

													UpperCAmelCase_      :   List[str]      =	[]
													UpperCAmelCase_      :   int      =	[]

													for i, rect in enumerate(__magic_name__ ):
																			rect.set_stroke(__magic_name__ )

																			UpperCAmelCase_      :   List[Any]      =	Rectangle(height=0.4_6 / 4							,  width=0.4_6 / 3 ).set_stroke(width=0.0 ).set_fill(__magic_name__							,  opacity=0.7 )

																			if i == 0:
																									cpu_target.next_to(cpu_left_col_base[0].get_corner(DOWN + LEFT )							,  buff=0.0_2							,  direction=__magic_name__ )
																									cpu_target.set_x(cpu_target.get_x() + 0.1 )
																			elif i == 3:
																									cpu_target.next_to(model_cpu_arr[0]							,  direction=__magic_name__							,  buff=0.0 )
																			else:
																									cpu_target.next_to(model_cpu_arr[i - 1]							,  direction=__magic_name__							,  buff=0.0 )
																			self.add(__magic_name__ )
																			model_cpu_arr.append(__magic_name__ )

													self.add(*__magic_name__							,  *__magic_name__ )

													UpperCAmelCase_      :   Any      =	[meta_mem.copy() for i in range(6 )]
													UpperCAmelCase_      :   int      =	[meta_mem.copy() for i in range(6 )]
													UpperCAmelCase_      :   Optional[Any]      =	VGroup(*__magic_name__ ).arrange(__magic_name__							,  buff=0 )
													UpperCAmelCase_      :   Optional[int]      =	VGroup(*__magic_name__ ).arrange(__magic_name__							,  buff=0 )
													UpperCAmelCase_      :   Dict      =	VGroup(__magic_name__							,  __magic_name__ ).arrange(__magic_name__							,  buff=0 )
													UpperCAmelCase_      :   Optional[Any]      =	Text('''Disk'''							,  font_size=24 )
													UpperCAmelCase_      :   Any      =	Group(__magic_name__							,  __magic_name__ ).arrange(__magic_name__							,  buff=0.5							,  aligned_edge=__magic_name__ )
													disk.move_to([-4.0, -1.2_5, 0] )
													self.add(__magic_name__							,  __magic_name__ )

													UpperCAmelCase_      :   Optional[Any]      =	[]

													for i in range(6 ):
																			UpperCAmelCase_      :   Tuple      =	fill.copy().set_fill(__magic_name__							,  opacity=0.8 )
																			target.move_to(disk_left_col_base[i] ).scale(0.5 )
																			cpu_disk_arr.append(__magic_name__ )

													self.add(*__magic_name__ )

													UpperCAmelCase_      :   List[str]      =	Square(side_length=2.2 )
													key.move_to([-5, 2, 0] )

													UpperCAmelCase_      :   Union[str, 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(__magic_name__							,  __magic_name__ )

													UpperCAmelCase_      :   Union[str, Any]      =	MarkupText(
													    F"""<span fgcolor='{BLUE}'>●</span> Checkpoint"""							,  font_size=18							,  )

													blue_text.next_to(__magic_name__							,  DOWN * 2.4							,  aligned_edge=key_text.get_left() )
													self.add(__magic_name__ )

													UpperCAmelCase_      :   Dict      =	MarkupText(F"""The offloaded weights are all sent to the CPU."""							,  font_size=24 )
													step_a.move_to([2, 2, 0] )

													self.play(Write(__magic_name__							,  run_time=3 ) )

													for i in range(6 ):
																			UpperCAmelCase_      :   Dict      =	cpu_disk_arr[i]
																			UpperCAmelCase_      :   int      =	rect.copy().set_fill(__magic_name__							,  opacity=0.8 ).scale(2.0 )
																			cpa.generate_target()
																			cpa.target.move_to(model_base[i] )

																			if i == 0:
																									rect.set_fill(__magic_name__							,  opacity=0.8 )
																									rect.generate_target()
																									rect.target.move_to(cpu_left_col_base[0] ).scale(2.0 )

																									self.remove(
																									    *__magic_name__							,  *__magic_name__							,  )

																			else:
																									rect.generate_target()
																									rect.target.move_to(cpu_left_col_base[i] ).scale(2.0 )
																			self.play(MoveToTarget(__magic_name__ )							,  MoveToTarget(__magic_name__ )							,  model_base[i].animate.set_stroke(__magic_name__ ) )
													self.play(FadeOut(__magic_name__ ) )

													UpperCAmelCase_      :   int      =	MarkupText(
													    F"""Finally, hooks are added to each weight in the model\nto transfer the weights from CPU to GPU\n\t\tand back when needed."""							,  font_size=24							,  )
													step_a.move_to([2, 2, 0] )

													self.play(Write(__magic_name__							,  run_time=3 ) )

													UpperCAmelCase_      :   Union[str, Any]      =	[]
													UpperCAmelCase_      :   Tuple      =	[]
													for i in range(6 ):
																			UpperCAmelCase_      :   List[Any]      =	Arrow(start=__magic_name__							,  end=__magic_name__							,  color=__magic_name__							,  buff=0.5 )
																			a.next_to(model_base[i].get_left()							,  __magic_name__							,  buff=0.2 )
																			arrows.append(__magic_name__ )
																			animations.append(Write(__magic_name__ ) )
													self.play(*__magic_name__ )
													self.wait()








def _a					(			SCREAMING_SNAKE_CASE						:     int						)       ->       int:

 """simple docstring"""






 return n * (2 * n - 1)







def _a					(			SCREAMING_SNAKE_CASE						:     int						)       ->       bool:

 """simple docstring"""






 __lowerCAmelCase:  List[Any]        = (1 + 24 * n) ** 0.5
 return ((1 + root) / 6) % 1 == 0







def _a					(			SCREAMING_SNAKE_CASE						:     int = 1_44						)       ->       int:

 """simple docstring"""






 __lowerCAmelCase:  Dict        = start
 __lowerCAmelCase:  List[str]        = hexagonal_num(SCREAMING_SNAKE_CASE						)
 while not is_pentagonal(SCREAMING_SNAKE_CASE						):
  n += 1
  __lowerCAmelCase:  Any        = hexagonal_num(SCREAMING_SNAKE_CASE						)
 return num


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





