


class  snake_case_     :
					def __init__(   self     :List[Any]    ,__snake_case     :str = ""    ,__snake_case     :bool = False   )      ->					None:
												# Mapping from the first character of the prefix of the node
												a__    =  {}

												# A node will be a leaf if the tree contains its word
												a__    =  is_leaf

												a__    =  prefix
					def 				lowerCamelCase__(   self     :List[str]    ,__snake_case     :str   )      ->					tuple[str, str, str]:
												a__    =  0
												for q, w in zip(self.prefix    ,__snake_case   ):
																			if q != w:
																										break

																			x += 1

												return self.prefix[:x], self.prefix[x:], word[x:]
					def 				lowerCamelCase__(   self     :Union[str, Any]    ,__snake_case     :list[str]   )      ->					None:
												for word in words:
																			self.insert(__snake_case   )
					def 				lowerCamelCase__(   self     :str    ,__snake_case     :str   )      ->					None:
												# Case 1: If the word is the prefix of the node
												# Solution: We set the current node as leaf
												if self.prefix == word:
																			a__    =  True

												# Case 2: The node has no edges that have a prefix to the word
												# Solution: We create an edge from the current node to a new one
												# containing the word
												elif word[0] not in self.nodes:
																			a__    =  RadixNode(prefix=__snake_case    ,is_leaf=__snake_case   )

												else:
																			a__    =  self.nodes[word[0]]
																			a__   ,      a__   ,      a__    =  incoming_node.match(
																			    __snake_case   )

																			# Case 3: The node prefix is equal to the matching
																			# Solution: We insert remaining word on the next node
																			if remaining_prefix == "":
																										self.nodes[matching_string[0]].insert(__snake_case   )

																			# Case 4: The word is greater equal to the matching
																			# Solution: Create a node in between both nodes, change
																			# prefixes and add the new node for the remaining word
																			else:
																										a__    =  remaining_prefix

																										a__    =  self.nodes[matching_string[0]]
																										a__    =  RadixNode(__snake_case    ,__snake_case   )
																										a__    =  aux_node

																										if remaining_word == "":
																																	a__    =  True
																										else:
																																	self.nodes[matching_string[0]].insert(__snake_case   )
					def 				lowerCamelCase__(   self     :Dict    ,__snake_case     :str   )      ->					bool:
												a__    =  self.nodes.get(word[0]    ,__snake_case   )
												if not incoming_node:
																			return False
												else:
																			a__   ,      a__   ,      a__    =  incoming_node.match(
																			    __snake_case   )
																			# If there is remaining prefix, the word can't be on the tree
																			if remaining_prefix != "":
																										return False
																			# This applies when the word and the prefix are equal
																			elif remaining_word == "":
																										return incoming_node.is_leaf
																			# We have word remaining so we check the next node
																			else:
																										return incoming_node.find(__snake_case   )
					def 				lowerCamelCase__(   self     :List[str]    ,__snake_case     :str   )      ->					bool:
												a__    =  self.nodes.get(word[0]    ,__snake_case   )
												if not incoming_node:
																			return False
												else:
																			a__   ,      a__   ,      a__    =  incoming_node.match(
																			    __snake_case   )
																			# If there is remaining prefix, the word can't be on the tree
																			if remaining_prefix != "":
																										return False
																			# We have word remaining so we check the next node
																			elif remaining_word != "":
																										return incoming_node.delete(__snake_case   )
																			else:
																										# If it is not a leaf, we don't have to delete
																										if not incoming_node.is_leaf:
																																	return False
																										else:
																																	# We delete the nodes if no edges go from it
																																	if len(incoming_node.nodes   ) == 0:
																																								del self.nodes[word[0]]
																																								# We merge the current node with its only child
																																								if len(self.nodes   ) == 1 and not self.is_leaf:
																																															a__    =  list(self.nodes.values()   )[0]
																																															a__    =  merging_node.is_leaf
																																															self.prefix += merging_node.prefix
																																															a__    =  merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
																																	elif len(incoming_node.nodes   ) > 1:
																																								a__    =  False
																																	# If there is 1 edge, we merge it with its child
																																	else:
																																								a__    =  list(incoming_node.nodes.values()   )[0]
																																								a__    =  merging_node.is_leaf
																																								incoming_node.prefix += merging_node.prefix
																																								a__    =  merging_node.nodes

																																	return True



					def 				lowerCamelCase__(   self     :str    ,__snake_case     :int = 0   )      ->					None:
												if self.prefix != "":
																			print('-' * height    ,self.prefix    ,'  (leaf)' if self.is_leaf else ''   )

												for value in self.nodes.values():
																			value.print_tree(height + 1   )






def 							__lowercase     (				):
							a__    =  'banana bananas bandana band apple all beast'.split()
							a__    =  RadixNode()
							root.insert_many(__lowerCAmelCase     )

							assert all(root.find(__lowerCAmelCase     ) for word in words     )
							assert not root.find('bandanas'     )
							assert not root.find('apps'     )
							root.delete('all'     )
							assert not root.find('all'     )
							root.delete('banana'     )
							assert not root.find('banana'     )
							assert root.find('bananas'     )

							return True






def 							__lowercase     (				):
							assert test_trie()






def 							__lowercase     (				):
							a__    =  RadixNode()
							a__    =  'banana bananas bandanas bandana band apple all beast'.split()
							root.insert_many(__lowerCAmelCase     )

							print('Words:'      ,					__lowerCAmelCase     )
							print('Tree:'     )
							root.print_tree()


if __name__ == "__main__":
						main()








from manim import *







class  snake_case_     (lowerCamelCase_   ):
					def 				lowerCamelCase__(   self     :Optional[Any]   )      ->					Optional[int]:
												a__    =  Rectangle(height=0.5    ,width=0.5   )
												a__    =  Rectangle(height=0.46    ,width=0.46   ).set_stroke(width=0   )

												a__    =  Rectangle(height=0.25    ,width=0.25   )

												a__    =  [mem.copy() for i in range(6   )]
												a__    =  [mem.copy() for i in range(6   )]
												a__    =  VGroup(*__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  VGroup(*__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  VGroup(__snake_case    ,__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  Text('CPU'    ,font_size=24   )
												a__    =  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   )

												a__    =  [mem.copy() for i in range(4   )]
												a__    =  VGroup(*__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  Text('GPU'    ,font_size=24   )
												a__    =  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   )

												a__    =  [mem.copy() for i in range(6   )]
												a__    =  VGroup(*__snake_case   ).arrange(__snake_case    ,buff=0   )

												a__    =  Text('Model'    ,font_size=24   )
												a__    =  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   )

												a__    =  []
												a__    =  []

												for i, rect in enumerate(__snake_case   ):
																			a__    =  fill.copy().set_fill(__snake_case    ,opacity=0.8   )
																			target.move_to(__snake_case   )
																			model_arr.append(__snake_case   )

																			a__    =  Rectangle(height=0.46    ,width=0.46   ).set_stroke(width=0.0   ).set_fill(__snake_case    ,opacity=0.8   )
																			cpu_target.move_to(cpu_left_col_base[i]   )
																			model_cpu_arr.append(__snake_case   )

												self.add(*__snake_case    ,*__snake_case   )

												a__    =  [meta_mem.copy() for i in range(6   )]
												a__    =  [meta_mem.copy() for i in range(6   )]
												a__    =  VGroup(*__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  VGroup(*__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  VGroup(__snake_case    ,__snake_case   ).arrange(__snake_case    ,buff=0   )
												a__    =  Text('Disk'    ,font_size=24   )
												a__    =  Group(__snake_case    ,__snake_case   ).arrange(__snake_case    ,buff=0.5    ,aligned_edge=__snake_case   )
												disk.move_to([-4, -1.25, 0]   )
												self.add(__snake_case    ,__snake_case   )

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

												a__    =  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   )

												a__    =  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   )

												a__    =  MarkupText(
												    F'Now watch as an input is passed through the model\nand how the memory is utilized and handled.'    ,font_size=24    ,)
												step_a.move_to([2, 2, 0]   )

												self.play(Write(__snake_case   )   )

												a__    =  Square(0.3   )
												input.set_fill(__snake_case    ,opacity=1.0   )
												input.set_stroke(width=0.0   )
												input.next_to(model_base[0]    ,__snake_case    ,buff=0.5   )

												self.play(Write(__snake_case   )   )

												input.generate_target()
												input.target.next_to(model_arr[0]    ,direction=__snake_case    ,buff=0.02   )
												self.play(MoveToTarget(__snake_case   )   )

												self.play(FadeOut(__snake_case   )   )

												a__    =  Arrow(start=__snake_case    ,end=__snake_case    ,color=__snake_case    ,buff=0.5   )
												a.next_to(model_arr[0].get_left()    ,__snake_case    ,buff=0.2   )

												model_cpu_arr[0].generate_target()
												model_cpu_arr[0].target.move_to(gpu_rect[0]   )

												a__    =  MarkupText(
												    F'As the input reaches a layer, the hook triggers\nand weights are moved from the CPU\nto the GPU and back.'    ,font_size=24    ,)
												step_a.move_to([2, 2, 0]   )

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

												a__    =  {'run_time': 1, 'fade_in': True, 'fade_out': True, 'buff': 0.02}

												self.play(
												    Write(__snake_case   )    ,Circumscribe(model_arr[0]    ,color=__snake_case    ,**__snake_case   )    ,Circumscribe(model_cpu_arr[0]    ,color=__snake_case    ,**__snake_case   )    ,Circumscribe(gpu_rect[0]    ,color=__snake_case    ,**__snake_case   )    ,)
												self.play(MoveToTarget(model_cpu_arr[0]   )   )

												a__    =  a.copy()
												for i in range(6   ):
																			a_c.next_to(model_arr[i].get_right() + 0.02    ,__snake_case    ,buff=0.2   )

																			input.generate_target()
																			input.target.move_to(model_arr[i].get_right() + 0.02   )

																			a__    =  AnimationGroup(
																			    FadeOut(__snake_case    ,run_time=0.5   )    ,MoveToTarget(__snake_case    ,run_time=0.5   )    ,FadeIn(__snake_case    ,run_time=0.5   )    ,lag_ratio=0.2   )

																			self.play(__snake_case   )

																			model_cpu_arr[i].generate_target()
																			model_cpu_arr[i].target.move_to(cpu_left_col_base[i]   )

																			if i < 5:
																										model_cpu_arr[i + 1].generate_target()
																										model_cpu_arr[i + 1].target.move_to(gpu_rect[0]   )
																										if i >= 1:
																																	a__    =  0.7

																										self.play(
																										    Circumscribe(model_arr[i]    ,**__snake_case   )    ,Circumscribe(cpu_left_col_base[i]    ,**__snake_case   )    ,Circumscribe(cpu_left_col_base[i + 1]    ,color=__snake_case    ,**__snake_case   )    ,Circumscribe(gpu_rect[0]    ,color=__snake_case    ,**__snake_case   )    ,Circumscribe(model_arr[i + 1]    ,color=__snake_case    ,**__snake_case   )    ,)
																										if i < 1:
																																	self.play(
																																	    MoveToTarget(model_cpu_arr[i]   )    ,MoveToTarget(model_cpu_arr[i + 1]   )    ,)
																										else:
																																	self.play(
																																	    MoveToTarget(model_cpu_arr[i]    ,run_time=0.7   )    ,MoveToTarget(model_cpu_arr[i + 1]    ,run_time=0.7   )    ,)
																			else:
																										model_cpu_arr[i].generate_target()
																										model_cpu_arr[i].target.move_to(cpu_left_col_base[-1]   )
																										input.generate_target()
																										input.target.next_to(model_arr[-1].get_right()    ,RIGHT + 0.02    ,buff=0.2   )

																										self.play(
																										    Circumscribe(model_arr[-1]    ,color=__snake_case    ,**__snake_case   )    ,Circumscribe(cpu_left_col_base[-1]    ,color=__snake_case    ,**__snake_case   )    ,Circumscribe(gpu_rect[0]    ,color=__snake_case    ,**__snake_case   )    ,)

																										self.play(MoveToTarget(model_cpu_arr[i]   )   )

																			a__    =  a_c
																			a__    =  a_c.copy()

												input.generate_target()
												input.target.next_to(model_base[-1]    ,RIGHT + 0.02    ,buff=0.5   )
												self.play(
												    FadeOut(__snake_case   )    ,FadeOut(__snake_case    ,run_time=0.5   )    ,)

												a__    =  MarkupText(F'Inference on a model too large for GPU memory\nis successfully completed.'    ,font_size=24   )
												step_a.move_to([2, 2, 0]   )

												self.play(Write(__snake_case    ,run_time=3   )    ,MoveToTarget(__snake_case   )   )

												self.wait()




