



from manim import *



class  lowerCamelCase__    (							__UpperCAmelCase):




  '''simple docstring'''



  def 	lowerCAmelCase__   (self				)  ->    Optional[int]:

      """simple docstring"""






      lowerCAmelCase__  :       Optional[Any]				=  Rectangle(height=0.5	,width=0.5				)
      lowerCAmelCase__  :       Any				=  Rectangle(height=0.46	,width=0.46				).set_stroke(width=0				)

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

      lowerCAmelCase__  :       Union[str, Any]				=  [mem.copy() for i in range(1				)]
      lowerCAmelCase__  :       str				=  VGroup(*__lowerCamelCase				).arrange(__lowerCamelCase	,buff=0				)
      lowerCAmelCase__  :       Dict				=  Text('''GPU'''	,font_size=24				)
      lowerCAmelCase__  :       Optional[int]				=  Group(__lowerCamelCase	,__lowerCamelCase				).arrange(__lowerCamelCase	,buff=0.5	,aligned_edge=__lowerCamelCase				)
      gpu.align_to(__lowerCamelCase	,__lowerCamelCase				)
      gpu.set_x(gpu.get_x() - 1				)

      self.add(__lowerCamelCase				)

      lowerCAmelCase__  :       str				=  [mem.copy() for i in range(6				)]
      lowerCAmelCase__  :       Optional[int]				=  VGroup(*__lowerCamelCase				).arrange(__lowerCamelCase	,buff=0				)

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

      self.play(
          Create(__lowerCamelCase	,run_time=1				)	,Create(__lowerCamelCase	,run_time=1				)	,Create(__lowerCamelCase	,run_time=1				)	,)

      lowerCAmelCase__  :       int				=  MarkupText(
          f"""First, an empty model skeleton is loaded\ninto <span fgcolor=\'{YELLOW}\'>memory</span> without using much RAM."""	,font_size=24	,)

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

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

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

      step_a.move_to([2, 2, 0]				)
      self.play(Write(__lowerCamelCase	,run_time=2.5				)	,Write(__lowerCamelCase				)	,Write(__lowerCamelCase				)				)

      self.add(__lowerCamelCase				)

      lowerCAmelCase__  :       Tuple				=  []
      lowerCAmelCase__  :       Union[str, Any]				=  []
      lowerCAmelCase__  :       Union[str, Any]				=  []
      for i, rect in enumerate(__lowerCamelCase				):
          lowerCAmelCase__  :       Tuple				=  Rectangle(height=0.46	,width=0.46				).set_stroke(width=0.0				).set_fill(__lowerCamelCase	,opacity=0.7				)
          cpu_target.move_to(__lowerCamelCase				)
          cpu_target.generate_target()
          lowerCAmelCase__  :       Union[str, Any]				=  0.46 / 4
          lowerCAmelCase__  :       Dict				=  0.46 / 3

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

          first_animations.append(rect.animate(run_time=0.5				).set_stroke(__lowerCamelCase				)				)
          second_animations.append(MoveToTarget(__lowerCamelCase	,run_time=1.5				)				)

      self.play(*__lowerCamelCase				)
      self.play(*__lowerCamelCase				)

      self.wait()






def 			lowerCAmelCase__	(					lowerCamelCase_	:	Any ,lowerCamelCase_	:	Optional[Any]):





				'''simple docstring'''

				lowerCAmelCase__  :       str				=  [0 for i in range(r + 1)]
				# nc0 = 1
				lowerCAmelCase__  :       Tuple				=  1
				for i in range(1 ,n + 1):
								# to compute current row from previous row.
								lowerCAmelCase__  :       Optional[int]				=  min(lowerCamelCase_ ,lowerCamelCase_)
								while j > 0:
												c[j] += c[j - 1]
												j -= 1
				return c[r]

print(binomial_coefficient(n=1_0, r=5))

