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cleanup
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from big_ol_pile_of_manim_imports import *
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from eop.pascal import *
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WIDTH = 12
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HEIGHT = 1
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GRADE_COLOR_1 = COLOR_HEADS = RED
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GRADE_COLOR_2 = COLOR_TAILS = BLUE
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NB_ROWS = 6
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class Coin(Circle):
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CONFIG = {
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"radius": 0.2,
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"stroke_width": 3,
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"stroke_color": WHITE,
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"fill_opacity": 1,
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"symbol": "\euro",
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}
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def __init__(self, **kwargs):
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Circle.__init__(self,**kwargs)
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self.symbol_mob = TextMobject(self.symbol, stroke_color = self.stroke_color)
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self.symbol_mob.scale_to_fit_height(0.5*self.get_height()).move_to(self)
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self.add(self.symbol_mob)
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class Heads(Coin):
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CONFIG = {
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"fill_color": COLOR_HEADS,
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"symbol": "H",
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}
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class Tails(Coin):
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CONFIG = {
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"fill_color": COLOR_TAILS,
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"symbol": "T",
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}
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class CoinStack(VGroup):
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CONFIG = {
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"spacing": 0.1,
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"size": 5,
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"face": Heads,
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}
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def generate_points(self):
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for n in range(self.size):
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coin = self.face()
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coin.shift(n * self.spacing * RIGHT)
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self.add(coin)
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class HeadsStack(CoinStack):
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CONFIG = { "face": Heads }
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class TailsStack(CoinStack):
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CONFIG = { "face": Tails }
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class TallyStack(VGroup):
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def __init__(self,h,t,**kwargs):
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self.nb_heads = h
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self.nb_tails = t
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VGroup.__init__(self,**kwargs)
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def generate_points(self):
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stack1 = HeadsStack(size = self.nb_heads)
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stack2 = TailsStack(size = self.nb_tails)
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stack2.next_to(stack1, RIGHT, buff = SMALL_BUFF)
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self.add(stack1, stack2)
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class AreaSplittingScene(Scene):
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def create_rect_row(self,n):
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rects_group = VGroup()
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for k in range(n+1):
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proportion = float(choose(n,k)) / 2**n
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new_rect = Rectangle(
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width = proportion * WIDTH,
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height = HEIGHT,
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fill_color = graded_color(n,k),
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fill_opacity = 1
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)
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new_rect.next_to(rects_group,RIGHT,buff = 0)
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rects_group.add(new_rect)
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return rects_group
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def split_rect_row(self,rect_row):
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split_row = VGroup()
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for rect in rect_row.submobjects:
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half = rect.copy().stretch_in_place(0.5,0)
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left_half = half.next_to(rect.get_center(),LEFT,buff = 0)
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right_half = half.copy().next_to(rect.get_center(),RIGHT,buff = 0)
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split_row.add(left_half, right_half)
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return split_row
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def rect_center(self,n,i,j):
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if n < 0:
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raise Exception("wrong indices " + str(n) + ", " + str(i) + ", " + str(j))
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if i < 0 or i > n:
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raise Exception("wrong indices " + str(n) + ", " + str(i) + ", " + str(j))
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if j > choose(n,i) or j < 0:
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raise Exception("wrong indices " + str(n) + ", " + str(i) + ", " + str(j))
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rect = self.brick_array[n][i]
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width = rect.get_width()
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left_x = rect.get_center()[0] - width/2
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spacing = width / choose(n,i)
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x = left_x + (j+0.5) * spacing
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return np.array([x,rect.get_center()[1], rect.get_center()[2]])
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def construct(self):
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# Draw the bricks
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brick_wall = VGroup()
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rect_row = self.create_rect_row(0)
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rect_row.move_to(3.5*UP + 0*HEIGHT*DOWN)
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self.add(rect_row)
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brick_wall.add(rect_row)
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self.brick_array = [[rect_row.submobjects[0]]]
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for n in range(NB_ROWS):
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# copy and shift
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new_rect_row = rect_row.copy()
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self.add(new_rect_row)
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self.play(new_rect_row.shift,HEIGHT * DOWN)
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self.wait()
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#split
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split_row = self.split_rect_row(new_rect_row)
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self.play(FadeIn(split_row))
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self.remove(new_rect_row)
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self.wait()
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# merge
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rect_row = self.create_rect_row(n+1)
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rect_row.move_to(3.5*UP + (n+1)*HEIGHT*DOWN)
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self.play(FadeIn(rect_row))
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brick_wall.add(rect_row)
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self.remove(split_row)
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self.wait()
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# add to brick dict
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rect_array = []
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for rect in rect_row.submobjects:
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rect_array.append(rect)
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self.brick_array.append(rect_array)
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self.play(
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brick_wall.set_fill, {"opacity" : 0.2}
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)
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# Draw the branches
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for (n, rect_row_array) in enumerate(self.brick_array):
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for (i, rect) in enumerate(rect_row_array):
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pos = rect.get_center()
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tally = TallyStack(n - i, i)
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tally.move_to(pos)
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# from the left
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lines = VGroup()
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if i > 0:
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for j in range(choose(n-1,i-1)):
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start_pos = self.rect_center(n-1,i-1,j)
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end_pos = self.rect_center(n,i,j)
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lines.add(Line(start_pos,end_pos, stroke_color = GRADE_COLOR_2))
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self.play(
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LaggedStart(ShowCreation, lines))
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# from the right
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lines = VGroup()
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if i < n:
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for j in range(choose(n-1,i)):
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start_pos = self.rect_center(n-1,i,j)
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if i != 0:
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end_pos = self.rect_center(n,i,choose(n-1,i-1) + j)
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else:
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end_pos = self.rect_center(n,i,j)
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lines.add(Line(start_pos,end_pos, stroke_color = GRADE_COLOR_1))
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self.play(
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LaggedStart(ShowCreation, lines))
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#self.play(FadeIn(tally))
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self.wait()
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