from manim import *

class       snake_case					(      UpperCamelCase_						):




  def 	__lowercase(      self     :	Tuple				)->       List[Any]:




       """simple docstring"""
       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		Rectangle(height=0.5     , width=0.5				)
       SCREAMING_SNAKE_CASE__				:				str			=		Rectangle(height=0.46     , width=0.46				).set_stroke(width=0				)

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

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

       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		[mem.copy() for i in range(6				)]
       SCREAMING_SNAKE_CASE__				:				Optional[int]			=		VGroup(*a_				).arrange(a_     , buff=0				)

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

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

            SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		Rectangle(height=0.46 / 4     , width=0.46 / 3				).set_stroke(width=0.0				).set_fill(a_     , opacity=0.7				)

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

       SCREAMING_SNAKE_CASE__				:				Tuple			=		[mem.copy() for i in range(6				)]
       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		VGroup(*a_				).arrange(a_     , buff=0				)

       SCREAMING_SNAKE_CASE__				:				Union[str, Any]			=		Text('Loaded Checkpoint'     , font_size=24				)
       SCREAMING_SNAKE_CASE__				:				Dict			=		Group(a_     , a_				).arrange(a_     , aligned_edge=a_     , buff=0.4				)
       checkpoint.move_to([3, 0.5, 0]				)

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

       SCREAMING_SNAKE_CASE__				:				str			=		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(a_     , a_				)

       SCREAMING_SNAKE_CASE__				:				Optional[Any]			=		MarkupText(
           F'''<span fgcolor=\'{BLUE}\'>●</span> Checkpoint'''     , font_size=18     , )

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

       SCREAMING_SNAKE_CASE__				:				int			=		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(a_				)     , Write(a_				)				)

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

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

            SCREAMING_SNAKE_CASE__				:				List[str]			=		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(a_     , run_time=1.5				)				)

       self.play(*a_				)
       self.play(*a_				)
       self.wait()




def     _a				(      lowercase__  :			int = 1_00_00_00 ):







     '''simple docstring'''


     SCREAMING_SNAKE_CASE__				:				str			=		[i - 1 for i in range(limit + 1 )]

     for i in range(2     ,  limit + 1 ):
          if phi[i] == i - 1:
               for j in range(2 * i     ,  limit + 1     ,  lowercase__ ):
                    phi[j] -= phi[j] // i

     return sum(phi[2 : limit + 1] )


if __name__ == "__main__":
      print(solution())



