






"""simple docstring"""







from manim import *


class    __UpperCAmelCase(       SCREAMING_SNAKE_CASE__							):




						"""simple docstring"""




						def 		UpperCAmelCase_	(       self      ):
												'''simple docstring'''
												lowercase__    :				str=	Rectangle(height=0.5	,  width=0.5      )
												lowercase__    :				str=	Rectangle(height=0.25	,  width=0.25      )
												lowercase__    :				Union[str, Any]=	Rectangle(height=0.46	,  width=0.46      ).set_stroke(width=0      )

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

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

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

												lowercase__    :				str=	Text("Model"	,  font_size=24      )
												lowercase__    :				List[str]=	Group(snake_case__	,  snake_case__      ).arrange(snake_case__	,  buff=0.5	,  aligned_edge=snake_case__      )
												model.move_to([3, -1.0, 0]      )
												self.add(snake_case__      )

												lowercase__    :				List[str]=	[]
												lowercase__    :				Dict=	[]
												lowercase__    :				Optional[Any]=	[]

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

																		lowercase__    :				Tuple=	Rectangle(height=0.46 / 4	,  width=0.46 / 3      ).set_stroke(width=0.0      ).set_fill(snake_case__	,  opacity=0.7      )

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

												self.add(*snake_case__	,  *snake_case__	,  *snake_case__      )

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

												lowercase__    :				List[str]=	Text("Loaded Checkpoint"	,  font_size=24      )
												lowercase__    :				List[str]=	Group(snake_case__	,  snake_case__      ).arrange(snake_case__	,  buff=0.5	,  aligned_edge=snake_case__      )
												checkpoint.move_to([3, 0.5, 0]      )

												self.add(snake_case__      )

												lowercase__    :				Tuple=	[]
												lowercase__    :				Tuple=	[]

												for i, rect in enumerate(snake_case__      ):
																		lowercase__    :				Dict=	fill.copy().set_fill(snake_case__	,  opacity=0.7      )
																		target.move_to(snake_case__      )
																		ckpt_arr.append(snake_case__      )

																		lowercase__    :				int=	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(snake_case__      )
												self.add(*snake_case__	,  *snake_case__      )

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

												lowercase__    :				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]      )

												self.add(snake_case__	,  snake_case__      )

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

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

												lowercase__    :				Union[str, Any]=	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=24	,  )
												step_a.move_to([2, 2, 0]      )

												lowercase__    :				Union[str, Any]=	[meta_mem.copy() for i in range(6      )]
												lowercase__    :				Optional[Any]=	[meta_mem.copy() for i in range(6      )]
												lowercase__    :				Any=	VGroup(*snake_case__      ).arrange(snake_case__	,  buff=0      )
												lowercase__    :				Tuple=	VGroup(*snake_case__      ).arrange(snake_case__	,  buff=0      )
												lowercase__    :				Optional[Any]=	VGroup(snake_case__	,  snake_case__      ).arrange(snake_case__	,  buff=0      )
												lowercase__    :				Any=	Text("Disk"	,  font_size=24      )
												lowercase__    :				int=	Group(snake_case__	,  snake_case__      ).arrange(snake_case__	,  buff=0.5	,  aligned_edge=snake_case__      )
												disk.move_to([-4.0, -1.25, 0]      )
												self.play(Write(snake_case__	,  run_time=3      )	,  Write(snake_case__	,  run_time=1      )	,  Create(snake_case__	,  run_time=1      )      )

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

												self.play(FadeOut(snake_case__      )      )

												lowercase__    :				List[str]=	MarkupText(F'''Then, the checkpoint is removed from memory\nthrough garbage collection.'''	,  font_size=24      )
												step_a.move_to([2, 2, 0]      )

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

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

												self.wait()














"""simple docstring"""







from __future__ import annotations





def 						lowercase__(A						)    ->int:




						"""simple docstring"""



						for i in range(1 ,		len(matrix[0]						)						):
												matrix[0][i] += matrix[0][i - 1]

						# preprocessing the first column
						for i in range(1 ,		len(A						)						):
												matrix[i][0] += matrix[i - 1][0]

						# updating the path cost for current position
						for i in range(1 ,		len(A						)						):
												for j in range(1 ,		len(matrix[0]						)						):
																		matrix[i][j] += min(matrix[i - 1][j] ,		matrix[i][j - 1]						)

						return matrix[-1][-1]


if __name__ == "__main__":
			import doctest

			doctest.testmod()






