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leer.py
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from big_ol_pile_of_manim_imports import *
import os
import pyclbr
import numpy as np
import random
class Together(GraphScene):
CONFIG = {
"x_min" : 0,
"x_max" : 30,
"y_min" : 0,
"y_max" : 101,
"y_tick_frequency": 5,
"x_axis_label": None,
"y_axis_label": None,
"y_axis_height" : 5.7,
"x_axis_width": 10,
"graph_origin" : 3.4 * DOWN + 4 * LEFT,
"function_color" : RED ,
"axes_color" : GREEN,
"x_labeled_nums" :range(0,100,10),
"y_labeled_nums" :range(0,101,10)
}
def construct(self):
first_line=TextMobject("Sorting numbers is a fundamental ")
second_line=TextMobject("problem in computer science")
second_line.next_to(first_line,DOWN)
##Extra set
EX_line1 = TextMobject("The most intuitive way of sorting")
EX_line1.next_to(second_line,UP)
EX_line2 = TextMobject("is by swapping elements one by one")
EX_line2.next_to(EX_line1,DOWN)
##Set 2
third_line=TextMobject("But basic swapping algorithms cannot")
third_line.next_to(second_line,UP)
fourth_line=TextMobject("overcome the barrier set by inversions")
fourth_line.next_to(third_line,DOWN)
## Set 3
third_line2=TextMobject("But basic swapping algorithms cannot")
third_line2.scale(0.8)
third_line2.to_corner(UP+LEFT)
fourth_line2=TextMobject("overcome the barrier set by inversions") #$O(n\log{}n)$
fourth_line2.scale(0.8)
fourth_line2.next_to(third_line2,DOWN)
#grid = NumberPlane()
self.add(first_line, second_line)
self.wait(2.7)
self.play(
Transform(first_line, EX_line1),
Transform(second_line,EX_line2)
)
self.wait(2.7)
self.play(
Transform(first_line, third_line),
Transform(second_line,fourth_line)
)
self.wait(2.7)
self.play(
Transform(first_line, third_line2),
Transform(second_line,fourth_line2)
)
self.setup_axes(animate=True)
func_graph=self.get_graph(self.func_to_graph,self.function_color)
func_graph2=self.get_graph(self.func_to_graph2)
graph_lab = self.get_graph_label(func_graph, label = "n^2",x_val = 7.71)
graph_lab2=self.get_graph_label(func_graph2,label = "nlog(n)", x_val=16,direction=UP*1.84)#, x_val=-10, direction=UP/2
self.play(
ShowCreation(func_graph, rate = 70),
)
self.play(ShowCreation(graph_lab),
)
fifth_line = TextMobject("The Heapsort algorithm")
fifth_line.scale(0.8)
fifth_line.to_corner(UP+RIGHT)
sixth_line = TextMobject("breaks this barrier")
sixth_line.scale(0.8)
sixth_line.next_to(fifth_line, DOWN)
self.play(ShowCreation(fifth_line), ShowCreation(sixth_line))
self.wait(1.5)
self.play(
ShowCreation(func_graph2, rate = 70),
ShowCreation(graph_lab2)
)
self.wait(2)
def func_to_graph(self,x):
return np.power(x,2)
def func_to_graph2(self,x):
if x<1:
return x*0.1
return x*np.log(x)
##################################################################################################################
class ArrayToHeap(Scene):
def construct(self):
square1 = Square()
square1.scale(0.8)
square1.move_to(LEFT*4)
square2 = Square()
square2.scale(0.8)
square2.move_to(square1)
square3 = Square()
square3.scale(0.8)
square3.move_to(square1)
square4 = Square()
square4.scale(0.8)
square4.move_to(square1)
square5 = Square()
square5.scale(0.8)
square5.move_to(square1)
square6 = Square()
square6.scale(0.8)
square6.move_to(square1)
square1N = Square()
square1N.scale(0.8)
square1N.move_to(square1)
square2N = Square()
square2N.scale(0.8)
square2N.move_to(LEFT*2.4)
square3N = Square()
square3N.scale(0.8)
square3N.move_to(LEFT*0.8)
square4N = Square()
square4N.scale(0.8)
square4N.move_to(RIGHT*0.8)
square5N = Square()
square5N.scale(0.8)
square5N.move_to(RIGHT*2.4)
square6N = Square()
square6N.scale(0.8)
square6N.move_to(RIGHT*4)
first_line = TextMobject("We are familiar with elements stored in an array")
first_line.to_edge(UP)
self.play(FadeIn(first_line))
self.play(ShowCreation(square1))
self.play(
Transform(square2,square2N),
Transform(square3,square3N),
Transform(square4,square4N),
Transform(square5,square5N),
Transform(square6,square6N),
)
second_line = TextMobject("But viewing data in other ways")
second_line.to_edge(UP)
third_line = TextMobject("can show us new solutions to old problems")
third_line.next_to(second_line,DOWN)
self.wait()
self.play(
FadeOut(first_line)
)
self.play(
Write(second_line),
Write(third_line),
rate = 0.1
)
self.wait(2)
self.play(
ApplyMethod(square1.move_to,DOWN*2+LEFT*4),
ApplyMethod(square2.move_to,DOWN*2+LEFT*2.4),
ApplyMethod(square3.move_to,DOWN*2+LEFT*0.8),
ApplyMethod(square4.move_to,DOWN*2+RIGHT*0.8),
ApplyMethod(square5.move_to,DOWN*2+RIGHT*2.4),
ApplyMethod(square6.move_to,DOWN*2+RIGHT*4),
rate = 20000
)
self.play(
ApplyMethod(square1.set_color,BLUE),
ApplyMethod(square2.set_color,RED),
ApplyMethod(square3.set_color,RED),
ApplyMethod(square4.set_color,GREEN),
ApplyMethod(square5.set_color,GREEN),
ApplyMethod(square6.set_color,GREEN),
)
self.play(
ApplyMethod(square1.set_fill,BLUE, 0.1),
ApplyMethod(square2.set_fill,RED,0.1),
ApplyMethod(square3.set_fill,RED,0.1),
ApplyMethod(square4.set_fill,GREEN,0.1),
ApplyMethod(square5.set_fill,GREEN,0.1),
ApplyMethod(square6.set_fill,GREEN,0.1),
)
circle1 = Circle(color = BLUE,fill_color = BLUE, fill_opacity=.1)
circle1.scale(0.7)
circle1.move_to(LEFT*3.8+UP*2.2)
circle2 = Circle(color = RED)
circle2.scale(0.7)
circle2.move_to(LEFT*2+UP*0.3)
circle3 = Circle(color = RED)
circle3.scale(0.7)
circle3.move_to(LEFT*0.2+UP*0.3)
circle4 = Circle(color = GREEN)
circle4.scale(0.7)
circle4.move_to(RIGHT*0.2+DOWN*2)
circle5 = Circle(color = GREEN)
circle5.scale(0.7)
circle5.move_to(RIGHT*2+DOWN*2)
circle6 = Circle(color = GREEN)
circle6.scale(0.7)
circle6.move_to(RIGHT*3.8+DOWN*2)
circleTemp = Circle(color=GREEN)
circleTemp.scale(0.7)
circleTemp.move_to(DOWN*2+RIGHT*3.3)
fourth_line = TextMobject("Arrays can be viewed as a type of tree (heap)")
fourth_line.to_edge(UP)
self.play(
Transform(third_line, fourth_line),
FadeOut(second_line)
)
self.wait(1.5)
self.play(
Transform(square1, circle1),
Transform(square2, circle2),
Transform(square3, circle3),
Transform(square4, circle4),
Transform(square5, circle5),
Transform(square6, circle6),
)
self.play(
ApplyMethod(square1.move_to, UP*2.2),
ApplyMethod(square2.move_to, LEFT*2+UP*0.3),
ApplyMethod(square3.move_to, RIGHT*2+UP*0.3),
ApplyMethod(square4.move_to, LEFT*3.2+DOWN*2),
ApplyMethod(square5.move_to, LEFT*0.9+DOWN*2),
ApplyMethod(square6.move_to, RIGHT*0.8+DOWN*2)
)
line1 = Line(square1,square2)
line2 = Line(square1,square3)
line3 = Line(square2,square4)
line4 = Line(square2,square5)
line5 = Line(square3,square6)
line6 = Line(square3,circleTemp)
self.play(
ShowCreation(line1),
ShowCreation(line2),
ShowCreation(line3),
ShowCreation(line4),
ShowCreation(line5),
)###############
self.wait(1.8)
##################### ----- Heap explanation PART ---- ################################
heapline1 = TextMobject("Heapsort uses a special type of tree")
heapline1.to_edge(UP)
self.play(
Transform(third_line,heapline1),
FadeOut(line1),
FadeOut(line2),
FadeOut(line3),
FadeOut(line4),
FadeOut(line5),
FadeOutAndShiftDown(square1),
FadeOutAndShiftDown(square2),
FadeOutAndShiftDown(square3),
FadeOutAndShiftDown(square4),
FadeOutAndShiftDown(square5),
FadeOutAndShiftDown(square6)
)
self.wait(1.8)
heapline2 = TextMobject("A complete binary tree is filled from left to right")
heapline2.to_edge(UP)
self.play(Transform(third_line, heapline2))
self.play(FadeIn(square1))
self.play(FadeIn(square2),FadeIn(line1))
self.play(FadeIn(square3),FadeIn(line2))
self.play(FadeIn(square4),FadeIn(line3))
self.play(FadeIn(square5),FadeIn(line4))
self.play(FadeIn(square6),FadeIn(line5))
self.play(FadeIn(circleTemp),FadeIn(line6))
self.wait(1.9)
##################### ----- Extra Node ---- ################################
heapline3 = TextMobject("All levels are required to be full")
heapline3.to_edge(UP)
self.play(Transform(third_line, heapline3))
self.wait(1.5)
heapline4 = TextMobject("Except the leaves, which do not have to be full")
heapline4.to_edge(UP)
self.play(Transform(third_line, heapline4))
self.play(FadeOutAndShiftDown(circleTemp),FadeOutAndShiftDown(line6))
self.wait(2)
##################### ----- SWAPPING PART ---- ########################################
########################SCALE##################
circle1 = Circle(color = BLUE,fill_color = BLUE, fill_opacity=.1)
circle1.scale(0.7*0.9)
circle1.move_to(UP*2.2)
circle2 = Circle(color = RED)
circle2.scale(0.7*1.05)
circle2.move_to(LEFT*2+UP*0.3)
circle3 = Circle(color = RED)
circle3.scale(0.7*1.2)
circle3.move_to(RIGHT*2+UP*0.3)
circle4 = Circle(color = GREEN)
circle4.scale(0.7*1.25)
circle4.move_to(LEFT*3.2+DOWN*2)
circle5 = Circle(color = GREEN)
circle5.scale(0.7)
circle5.move_to(LEFT*0.9+DOWN*2)
circle6 = Circle(color = GREEN)
circle6.scale(0.7*0.6)
circle6.move_to(RIGHT*0.8+DOWN*2)
line1N = Line(circle1,circle2)
line2N = Line(circle1,circle3)
line3N = Line(circle2,circle4)
line4N = Line(circle2,circle5)
line5N = Line(circle3,circle6)
scale_line = TextMobject("Trees can be used to sort elements of different sizes")
scale_line.to_edge(UP)
self.play(Transform(third_line, scale_line))
self.play(
Transform(square1, circle1),
Transform(square2, circle2),
Transform(square3, circle3),
Transform(square4, circle4),
Transform(square5, circle5),
Transform(square6, circle6),
Transform(line1, line1N),
Transform(line2, line2N),
Transform(line3, line3N),
Transform(line4, line4N),
Transform(line5, line5N)
)
self.wait(2)
#############################SWAPPING###########################
fifth_line = TextMobject("Changes in the tree translate to the array")
fifth_line.to_edge(UP)
self.wait()
self.play(
FadeOut(line5),
FadeOut(line2),
ApplyMethod(square3.move_to, RIGHT*1+DOWN*2),
ApplyMethod(square6.move_to, RIGHT*2+UP*0.3),
)
line2 = Line(square6,square1)
line5 = Line(square3,square6)
self.play(FadeIn(line5),FadeIn(line2))
self.play(
FadeOut(line2),
FadeOut(line5),
FadeOut(line1),
ApplyMethod(square6.move_to, UP*2.2),
ApplyMethod(square1.move_to, RIGHT*2+UP*0.3),
)
line5 = Line(square1,square3)
line2 = Line(square6,square1)
line1 = Line(square6,square2)
self.play(
FadeIn(line2),
FadeIn(line5),
FadeIn(line1)
)
self.play(Transform(third_line,fifth_line))
self.wait(1)
#######################################
self.play(
FadeOut(line1),
FadeOut(line2),
FadeOut(line3),
FadeOut(line4),
FadeOut(line5),
ApplyMethod(square6.move_to, UP*2.2+LEFT*3.8),
ApplyMethod(square2.move_to, LEFT*2+UP*0.3),
ApplyMethod(square1.move_to, LEFT*0.2+UP*0.3),
ApplyMethod(square4.move_to, RIGHT*0.2+DOWN*2),
ApplyMethod(square5.move_to, RIGHT*2+DOWN*2),
ApplyMethod(square3.move_to, RIGHT*3.8+DOWN*2)
)
square1N.move_to(DOWN*2+LEFT*4)
square1N.set_color(GREEN)
square1N.set_fill(GREEN,opacity=0.1)
square2N.move_to(DOWN*2+LEFT*2.4)
square2N.set_color(RED)
square2N.set_fill(RED,opacity=0.1)
square3N.move_to(DOWN*2+LEFT*0.8)
square3N.set_color(BLUE)
square3N.set_fill(BLUE,opacity=0.1)
square4N.move_to(DOWN*2+RIGHT*0.8)
square4N.set_color(GREEN)
square4N.set_fill(GREEN,opacity=0.1)
square5N.move_to(DOWN*2+RIGHT*2.4)
square5N.set_color(GREEN)
square5N.set_fill(GREEN,opacity=0.1)
square6N.move_to(DOWN*2+RIGHT*4)
square6N.set_color(RED)
square6N.set_fill(RED,opacity=0.1)
self.play(
Transform(square6, square1N),
Transform(square2, square2N),
Transform(square1, square3N),
Transform(square4, square4N),
Transform(square5, square5N),
Transform(square3, square6N)
)
self.play(
ApplyMethod(square6.move_to,LEFT*4),
ApplyMethod(square2.move_to,LEFT*2.4),
ApplyMethod(square1.move_to,LEFT*0.8),
ApplyMethod(square4.move_to,RIGHT*0.8),
ApplyMethod(square5.move_to,RIGHT*2.4),
ApplyMethod(square3.move_to,RIGHT*4)
)
self.wait(4)
##########################################################################################################
class SortedArray(Scene):
def construct(self):
square1 = Square()
square1.scale(0.8)
square1.move_to(LEFT*4+DOWN*2.5)
square2 = Square()
square2.scale(0.8)
square2.move_to(square1)
square3 = Square()
square3.scale(0.8)
square3.move_to(square1)
square4 = Square()
square4.scale(0.8)
square4.move_to(square1)
square5 = Square()
square5.scale(0.8)
square5.move_to(square1)
square6 = Square()
square6.scale(0.8)
square6.move_to(square1)
square1N = Square()
square1N.scale(0.8)
square1N.move_to(square1)
square2N = Square()
square2N.scale(0.8)
square2N.move_to(LEFT*2.4+DOWN*2.5)
square3N = Square()
square3N.scale(0.8)
square3N.move_to(LEFT*0.8+DOWN*2.5)
square4N = Square()
square4N.scale(0.8)
square4N.move_to(RIGHT*0.8+DOWN*2.5)
square5N = Square()
square5N.scale(0.8)
square5N.move_to(RIGHT*2.4+DOWN*2.5)
square6N = Square()
square6N.scale(0.8)
square6N.move_to(RIGHT*4+DOWN*2.5)
six=TextMobject("6")
six.move_to(LEFT*4+DOWN*2.5)
eight=TextMobject("8")
eight.move_to(LEFT*2.4+DOWN*2.5)
three=TextMobject("3")
three.move_to(LEFT*0.8+DOWN*2.5)
five=TextMobject("5")
five.move_to(RIGHT*0.8+DOWN*2.5)
four=TextMobject("4")
four.move_to(RIGHT*2.4+DOWN*2.5)
one=TextMobject("1")
one.move_to(RIGHT*4+DOWN*2.5)
sixN=TextMobject("6")
sixN.move_to(LEFT*4+DOWN*2.5)
eightN=TextMobject("8")
eightN.move_to(LEFT*2.4+DOWN*2.5)
threeN=TextMobject("3")
threeN.move_to(LEFT*0.8+DOWN*2.5)
fiveN=TextMobject("5")
fiveN.move_to(RIGHT*0.8+DOWN*2.5)
fourN=TextMobject("4")
fourN.move_to(RIGHT*2.4+DOWN*2.5)
oneN=TextMobject("1")
oneN.move_to(RIGHT*4+DOWN*2.5)
first_line = TextMobject("Let's look at an example")
self.play(FadeIn(first_line))
self.play(ShowCreation(square1))
self.play(
Transform(square2,square2N),
Transform(square3,square3N),
Transform(square4,square4N),
Transform(square5,square5N),
Transform(square6,square6N),
)
self.play(
Write(six),
Write(eight),
Write(three),
Write(five),
Write(four),
Write(one),
Write(sixN),
Write(eightN),
Write(threeN),
Write(fiveN),
Write(fourN),
Write(oneN),
)
circle1 = Circle(color = BLUE_E)
circle1.scale(0.5)
circle1.move_to(LEFT*3.8+UP*2.2)
circle2 = Circle(color = BLUE_E)
circle2.scale(0.5)
circle2.move_to(LEFT*2+UP*0.6)
circle3 = Circle(color = BLUE_E)
circle3.scale(0.5)
circle3.move_to(LEFT*0.2+UP*0.6)
circle4 = Circle(color = BLUE_E)
circle4.scale(0.5)
circle4.move_to(RIGHT*0.2+DOWN*0.8)
circle5 = Circle(color = BLUE_E)
circle5.scale(0.5)
circle5.move_to(RIGHT*2+DOWN*0.8)
circle6 = Circle(color = BLUE_E)
circle6.scale(0.5)
circle6.move_to(RIGHT*3.8+DOWN*0.8)
circleTemp = Circle(color=BLUE_E)
circleTemp.scale(0.5)
circleTemp.move_to(DOWN*0.8+RIGHT*3.1)
second_line = TextMobject("What happens when these elements are sorted in a heap?")
second_line.to_edge(UP)
self.play(Transform(first_line,second_line))
self.wait(1.5)
self.play(
Transform(square1N, circle1),
ApplyMethod(sixN.move_to,LEFT*3.8+UP*2.2),
Transform(square2N, circle2),
ApplyMethod(eightN.move_to,LEFT*2+UP*0.6),
Transform(square3N, circle3),
ApplyMethod(threeN.move_to,LEFT*0.2+UP*0.6),
Transform(square4N, circle4),
ApplyMethod(fiveN.move_to,RIGHT*0.2+DOWN*0.8),
Transform(square5N, circle5),
ApplyMethod(fourN.move_to,RIGHT*2+DOWN*0.8),
Transform(square6N, circle6),
ApplyMethod(oneN.move_to,RIGHT*3.8+DOWN*0.8)
)
self.play(
ApplyMethod(square1N.move_to, UP*2.2),
ApplyMethod(sixN.move_to,UP*2.2),
ApplyMethod(square2N.move_to, LEFT*1.8+UP*0.8),
ApplyMethod(eightN.move_to,LEFT*1.8+UP*0.8),
ApplyMethod(square3N.move_to, RIGHT*1.8+UP*0.8),
ApplyMethod(threeN.move_to,RIGHT*1.8+UP*0.8),
ApplyMethod(square4N.move_to, LEFT*3.2+DOWN*0.8), #############################
ApplyMethod(fiveN.move_to,LEFT*3.2+DOWN*0.8),
ApplyMethod(square5N.move_to, LEFT*0.9+DOWN*0.8),
ApplyMethod(fourN.move_to,LEFT*0.9+DOWN*0.8),
ApplyMethod(square6N.move_to, RIGHT*0.8+DOWN*0.8),
ApplyMethod(oneN.move_to,RIGHT*0.8+DOWN*0.8)
)
self.wait(1.5)
third_line = TextMobject("The heap is only logical. Everything happens in the array")
third_line.to_edge(UP)
self.play(Transform(first_line,third_line))
self.wait(1.8)
################## 3 and 6 ##################
self.play(
ApplyMethod(sixN.move_to,threeN),
ApplyMethod(square1N.move_to,square3N),
ApplyMethod(threeN.move_to,sixN),
ApplyMethod(square3N.move_to,square1N),
ApplyMethod(six.move_to,three),
ApplyMethod(three.move_to,six),
)
################## 1 and 6 ##################
self.play(
ApplyMethod(sixN.move_to,oneN),
ApplyMethod(square1N.move_to,square6N),
ApplyMethod(oneN.move_to,sixN),
ApplyMethod(square6N.move_to,square1N),
ApplyMethod(six.move_to,one),
ApplyMethod(one.move_to,six),
)
################## 1 and 3 ##################
self.play(
ApplyMethod(threeN.move_to,oneN),
ApplyMethod(square3N.move_to,square6N),
ApplyMethod(oneN.move_to,threeN),
ApplyMethod(square6N.move_to,square3N),
ApplyMethod(three.move_to,one),
ApplyMethod(one.move_to,three),
)
################## 8 and 4 ##################
self.play(
ApplyMethod(eightN.move_to,fourN),
ApplyMethod(square2N.move_to,square5N),
ApplyMethod(fourN.move_to,eightN),
ApplyMethod(square5N.move_to,square2N),
ApplyMethod(eight.move_to,four),
ApplyMethod(four.move_to,eight),
)
################## EXPLANATION ##################
fourth_line = TextMobject("This is a sorted heap. Each child is greater than its parent")
fourth_line.to_edge(UP)
self.play(Transform(first_line,fourth_line))
line1 = Line(square1N,square3N)
line2 = Line(square4N,square5N)
line3 = Line(square5N,square6N)
line4 = Line(square3N,square6N)
line5 = Line(square2N,square5N)
self.play(
FadeIn(line1),
FadeIn(line2),
FadeIn(line3),
FadeIn(line4),
FadeIn(line5)
)
self.wait(2.7)
self.play(
FadeOut(line1),
FadeOut(line2),
FadeOut(line3),
FadeOut(line4),
FadeOut(line5)
)
new_line = TextMobject("But the array does not look sorted at first glance")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
self.play(
FadeOut(square1N),
FadeOut(sixN),
FadeOut(square2N),
FadeOut(eightN),
FadeOut(square3N),
FadeOut(threeN),
FadeOut(square4N),
FadeOut(fiveN),
FadeOut(square5N),
FadeOut(fourN),
FadeOut(square6N),
FadeOut(oneN),
ApplyMethod(square1.move_to,LEFT*4),
ApplyMethod(square2.move_to,LEFT*2.4),
ApplyMethod(square3.move_to,LEFT*0.8),
ApplyMethod(square4.move_to,RIGHT*0.8),
ApplyMethod(square5.move_to,RIGHT*2.4),
ApplyMethod(square6.move_to,RIGHT*4),
ApplyMethod(one.move_to,LEFT*4),
ApplyMethod(four.move_to,LEFT*2.4),
ApplyMethod(three.move_to,LEFT*0.8),
ApplyMethod(five.move_to,RIGHT*0.8),
ApplyMethod(eight.move_to,RIGHT*2.4),
ApplyMethod(six.move_to,RIGHT*4),
)
square1R = Square(color = GREEN, fill_color = GREEN, opacity = 0.2)
square1R.scale(0.8)
square1R.move_to(LEFT*4)
square2R = Square(color = GREEN, fill_color = GREEN, opacity = 0.2)
square2R.scale(0.8)
square2R.move_to(LEFT*2.4)
square3R = Square(color = GREEN, fill_color = GREEN, opacity = 0.2)
square3R.scale(0.8)
square3R.move_to(LEFT*0.8)
square4R = Square(color = GREEN, fill_color = GREEN, opacity = 0.2)
square4R.scale(0.8)
square4R.move_to(RIGHT*0.8)
square5R = Square(color = GREEN, fill_color = GREEN, opacity = 0.2)
square5R.scale(0.8)
square5R.move_to(RIGHT*2.4)
square6R = Square(color = GREEN, fill_color = GREEN, opacity = 0.2)
square6R.scale(0.8)
square6R.move_to(RIGHT*4)
self.wait(1.7)
#################### CREATING NEW ARRAY ###############################
new_line = TextMobject("We would expect a sorted array to look like this")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
self.add(
square1R,
square2R,
square3R,
square4R,
square5R,
square6R,
)
self.play(
ApplyMethod(square1.move_to,LEFT*4+UP*1),
ApplyMethod(square2.move_to,LEFT*2.4+UP*1),
ApplyMethod(square3.move_to,LEFT*0.8+UP*1),
ApplyMethod(square4.move_to,RIGHT*0.8+UP*1),
ApplyMethod(square5.move_to,RIGHT*2.4+UP*1),
ApplyMethod(square6.move_to,RIGHT*4+UP*1),
ApplyMethod(one.move_to,LEFT*4+UP*1),
ApplyMethod(four.move_to,LEFT*2.4+UP*1),
ApplyMethod(three.move_to,LEFT*0.8+UP*1),
ApplyMethod(five.move_to,RIGHT*0.8+UP*1),
ApplyMethod(eight.move_to,RIGHT*2.4+UP*1),
ApplyMethod(six.move_to,RIGHT*4+UP*1),
ApplyMethod(square1R.move_to,LEFT*4+DOWN*1),
ApplyMethod(square2R.move_to,LEFT*2.4+DOWN*1),
ApplyMethod(square3R.move_to,LEFT*0.8+DOWN*1),
ApplyMethod(square4R.move_to,RIGHT*0.8+DOWN*1),
ApplyMethod(square5R.move_to,RIGHT*2.4+DOWN*1),
ApplyMethod(square6R.move_to,RIGHT*4+DOWN*1),
)
sixR=TextMobject("6")
eightR=TextMobject("8")
threeR=TextMobject("3")
fiveR=TextMobject("5")
fourR=TextMobject("4")
oneR=TextMobject("1")
oneR.move_to(LEFT*4+UP*1)
fourR.move_to(LEFT*2.4+UP*1)
threeR.move_to(LEFT*0.8+UP*1)
fiveR.move_to(RIGHT*0.8+UP*1)
eightR.move_to(RIGHT*2.4+UP*1)
sixR.move_to(RIGHT*4+UP*1)
self.add(oneR,fourR,threeR,fiveR,eightR,sixR)
self.play(
ApplyMethod(oneR.move_to,LEFT*4+ DOWN*1),
ApplyMethod(threeR.move_to,LEFT*2.4+ DOWN*1),
ApplyMethod(fourR.move_to,LEFT*0.8+ DOWN*1),
ApplyMethod(fiveR.move_to,RIGHT*0.8+ DOWN*1),
ApplyMethod(sixR.move_to,RIGHT*2.4+ DOWN*1),
ApplyMethod(eightR.move_to,RIGHT*4+ DOWN*1),
)
self.wait(2)
new_line = TextMobject("In fact, both are sorted. Only with different logic")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
################################# BACK TO TREE ############################
self.play(
FadeOut(one),
FadeOut(three),
FadeOut(five),
FadeOut(four),
FadeOut(six),
FadeOut(eight),
FadeOut(oneR),
FadeOut(threeR),
FadeOut(fiveR),
FadeOut(fourR),
FadeOut(sixR),
FadeOut(eightR),
FadeOut(square1),
FadeOut(square2),
FadeOut(square3),
FadeOut(square4),
FadeOut(square5),
FadeOut(square6),
FadeOut(square1R),
FadeOut(square2R),
FadeOut(square3R),
FadeOut(square4R),
FadeOut(square5R),
FadeOut(square6R),
)
nineN = TextMobject("9")
nineN.move_to(DOWN*0.8+RIGHT*3.3)
self.play(
FadeIn(square1N),
FadeIn(square2N),
FadeIn(square3N),
FadeIn(square4N),
FadeIn(square5N),
FadeIn(square6N),
FadeIn(circleTemp),
FadeIn(oneN),
FadeIn(sixN),
FadeIn(threeN),
FadeIn(fourN),
FadeIn(fiveN),
FadeIn(eightN),
FadeIn(nineN),
)
self.wait()
new_line = TextMobject("We can access elements in ascending order like this")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
self.wait()
self.play(
ApplyMethod(square6N.move_to,LEFT*8+UP*8),
ApplyMethod(oneN.move_to,LEFT*8+UP*8),
)
new_line = TextMobject("We remove the root, move the last element to the top and sort")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
self.wait(2)
self.play(
ApplyMethod(circleTemp.move_to,UP*2.2),
ApplyMethod(nineN.move_to,UP*2.2),
)
################## 9 and 3 ##################
self.play(
ApplyMethod(nineN.move_to,threeN),
ApplyMethod(circleTemp.move_to,square3N),
ApplyMethod(threeN.move_to,nineN),
ApplyMethod(square3N.move_to,circleTemp),
)
################## 9 and 5 ##################
self.play(
ApplyMethod(nineN.move_to,sixN),
ApplyMethod(circleTemp.move_to,square1N),
ApplyMethod(sixN.move_to,nineN),
ApplyMethod(square1N.move_to,circleTemp),
)
new_line = TextMobject("This function is recursive as we demonstrate below")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
self.wait(2.7)
new_line = TextMobject("The worst case removal of all the elements is O(nlog(n))")
new_line.to_edge(UP)
self.play(Transform(first_line,new_line))
self.wait(3)
#