


'''simple docstring'''






from manim import *






class  __magic_name__							(		__a    ):






       def       lowerCAmelCase		(      self)						->  Union[str, Any]:




          '''simple docstring'''
          _UpperCAmelCase       :       Optional[int]							   =Rectangle(height=0.5  ,							width=0.5)
          _UpperCAmelCase       :       Optional[int]							   =Rectangle(height=0.25  ,							width=0.25)
          _UpperCAmelCase       :       List[Any]							   =Rectangle(height=0.46  ,							width=0.46).set_stroke(width=0)

          _UpperCAmelCase       :       Dict							   =[mem.copy() for i in range(6)]
          _UpperCAmelCase       :       Optional[Any]							   =[mem.copy() for i in range(6)]
          _UpperCAmelCase       :       Any							   =VGroup(*UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       Dict							   =VGroup(*UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       Any							   =VGroup(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       Optional[Any]							   =Text('CPU'  ,							font_size=2_4)
          _UpperCAmelCase       :       Dict							   =Group(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0.5  ,							aligned_edge=UpperCamelCase__)
          cpu.move_to([-2.5, -0.5, 0])
          self.add(UpperCamelCase__)

          _UpperCAmelCase       :       Dict							   =[mem.copy() for i in range(4)]
          _UpperCAmelCase       :       List[str]							   =VGroup(*UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       List[str]							   =Text('GPU'  ,							font_size=2_4)
          _UpperCAmelCase       :       str							   =Group(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0.5  ,							aligned_edge=UpperCamelCase__)
          gpu.move_to([-1, -1, 0])
          self.add(UpperCamelCase__)

          _UpperCAmelCase       :       str							   =[mem.copy() for i in range(6)]
          _UpperCAmelCase       :       Dict							   =VGroup(*UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)

          _UpperCAmelCase       :       str							   =Text('Model'  ,							font_size=2_4)
          _UpperCAmelCase       :       Any							   =Group(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0.5  ,							aligned_edge=UpperCamelCase__)
          model.move_to([3, -1.0, 0])
          self.add(UpperCamelCase__)

          _UpperCAmelCase       :       str							   =[]
          _UpperCAmelCase       :       Union[str, Any]							   =[]
          _UpperCAmelCase       :       Tuple							   =[]

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

             _UpperCAmelCase       :       Union[str, Any]							   =Rectangle(height=0.46 / 4  ,							width=0.46 / 3).set_stroke(width=0.0).set_fill(UpperCamelCase__  ,							opacity=0.7)

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

          self.add(*UpperCamelCase__  ,							*UpperCamelCase__  ,							*UpperCamelCase__)

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

          _UpperCAmelCase       :       List[Any]							   =Text('Loaded Checkpoint'  ,							font_size=2_4)
          _UpperCAmelCase       :       int							   =Group(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0.5  ,							aligned_edge=UpperCamelCase__)
          checkpoint.move_to([3, 0.5, 0])

          self.add(UpperCamelCase__)

          _UpperCAmelCase       :       List[str]							   =[]
          _UpperCAmelCase       :       Any							   =[]

          for i, rect in enumerate(UpperCamelCase__):
             _UpperCAmelCase       :       int							   =fill.copy().set_fill(UpperCamelCase__  ,							opacity=0.7)
             target.move_to(UpperCamelCase__)
             ckpt_arr.append(UpperCamelCase__)

             _UpperCAmelCase       :       List[str]							   =target.copy()
             if i < 5:
                cpu_target.move_to(cpu_left_col_base[i + 1])
             else:
                cpu_target.move_to(cpu_right_col_base[i - 5])
             ckpt_cpu_arr.append(UpperCamelCase__)
          self.add(*UpperCamelCase__  ,							*UpperCamelCase__)

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

          _UpperCAmelCase       :       Optional[int]							   =MarkupText(
              f"<b>Key:</b>\n\n<span fgcolor='{YELLOW}'>●</span> Empty Model"  ,							font_size=1_8  ,							)

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

          self.add(UpperCamelCase__  ,							UpperCamelCase__)

          _UpperCAmelCase       :       str							   =MarkupText(
              f"<span fgcolor='{BLUE}'>●</span> Checkpoint"  ,							font_size=1_8  ,							)

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

          _UpperCAmelCase       :       List[str]							   =MarkupText(
              f"Based on the passed in configuration, weights are stored in\na variety of np.memmaps on disk or to a particular device."  ,							font_size=2_4  ,							)
          step_a.move_to([2, 2, 0])

          _UpperCAmelCase       :       Any							   =[meta_mem.copy() for i in range(6)]
          _UpperCAmelCase       :       str							   =[meta_mem.copy() for i in range(6)]
          _UpperCAmelCase       :       Tuple							   =VGroup(*UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       str							   =VGroup(*UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       List[Any]							   =VGroup(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0)
          _UpperCAmelCase       :       Optional[int]							   =Text('Disk'  ,							font_size=2_4)
          _UpperCAmelCase       :       Tuple							   =Group(UpperCamelCase__  ,							UpperCamelCase__).arrange(UpperCamelCase__  ,							buff=0.5  ,							aligned_edge=UpperCamelCase__)
          disk.move_to([-4.0, -1.25, 0])
          self.play(Write(UpperCamelCase__  ,							run_time=3)  ,							Write(UpperCamelCase__  ,							run_time=1)  ,							Create(UpperCamelCase__  ,							run_time=1))

          _UpperCAmelCase       :       Tuple							   =[]
          for i, rect in enumerate(UpperCamelCase__):
             _UpperCAmelCase       :       str							   =rect.copy()
             target.generate_target()
             target.target.move_to(disk_left_col_base[i]).scale(0.5)
             animations.append(MoveToTarget(UpperCamelCase__  ,							run_time=1.5))
          self.play(*UpperCamelCase__)

          self.play(FadeOut(UpperCamelCase__))

          _UpperCAmelCase       :       Optional[Any]							   =MarkupText(f"Then, the checkpoint is removed from memory\nthrough garbage collection."  ,							font_size=2_4)
          step_a.move_to([2, 2, 0])

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

          self.play(
              FadeOut(UpperCamelCase__  ,							UpperCamelCase__  ,							*UpperCamelCase__  ,							*UpperCamelCase__)  ,							)

          self.wait()





'''simple docstring'''






def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   def count_of_possible_combinations(__lowerCamelCase	:							int							) -> int:
      if target < 0:
         return 0
      if target == 0:
         return 1
      return sum(count_of_possible_combinations(target - item							) for item in array							)

   return count_of_possible_combinations(__lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   def count_of_possible_combinations_with_dp_array(
       __lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]							) -> int:
      if target < 0:
         return 0
      if target == 0:
         return 1
      if dp_array[target] != -1:
         return dp_array[target]
      _UpperCAmelCase       :       str							   =sum(
          count_of_possible_combinations_with_dp_array(target - item	,   __lowerCamelCase							)
          for item in array							)
      _UpperCAmelCase       :       Optional[Any]							   =answer
      return answer

   _UpperCAmelCase       :       int							   =[-1] * (target + 1)
   return count_of_possible_combinations_with_dp_array(__lowerCamelCase	,   __lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							int	,   __lowerCamelCase	:							list[int]	,   __lowerCamelCase	:							int							):







   '''simple docstring'''




   _UpperCAmelCase       :       Tuple							   =[0] * (target + 1)
   _UpperCAmelCase       :       Dict							   =1

   for i in range(1	,   target + 1							):
      for j in range(__lowerCamelCase							):
         if i - array[j] >= 0:
            dp_array[i] += dp_array[i - array[j]]

   return dp_array[target]


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 lowercase							=3
 lowercase							=5
 lowercase							=[1, 2, 5]
 print(combination_sum_iv(n, array, target))

