31c/240 caterpillar working notes

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dvgrn
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Re: 31c/240 caterpillar working notes

Post by dvgrn » June 17th, 2020, 11:46 am

Okay, here's my first attempt to extend chris_c's script. It's wrong, but still very promising.

Code: Select all

import golly as g

class silverfish:
    time = 0
    timeline = []
    columns = []
    b_hep = g.parse("bo$3o$ob2o!", 7, 31)
    absorber = g.parse("2o$2o!", 50, 66)

    def __init__(self):
        self.add_column(0, 0, 3)
        self.add_column(116, 0, 3)
        self.add_column(176, 23, 1)
        self.add_column(232, 23, 1)
        self.add_column(292, 0, 3)
        self.add_column(408, 0, 3)
        
    def add_column(self, x, y, excess):
        self.columns.append((x,y,excess))
        self.left = min(x for x, _, _ in self.columns) - 30
        self.right = max(x for x, _, _ in self.columns) + 31
    
    def advance(self, t):
        self.time += t

    #will add a bheptomino at time t to column c
    def add_event(self, t, c):
        self.timeline.append((self.time+t, c))

    def add_rephaser(self):
        self.add_event(0, 0)
        self.add_event(419, 1)
        self.add_event(494, 2)
        self.add_event(514, 3)
        self.add_event(439, 4)
        self.add_event(20, 5)
    
    def add_forerake(self):
        self.add_event(0, 5)
        self.add_event(879, 4)
        self.add_event(954, 3)
        self.add_event(974, 2)
        self.add_event(899, 1)
        self.add_event(20, 0)
    
    def add_backrake(self):
        self.add_event(0, 0)
        self.add_event(19, 1)
        self.add_event(96, 2)
        self.add_event(116, 3)
        self.add_event(39, 4)
        self.add_event(20, 5)

    def add_R4L8F(self):
        # first backrake
        self.add_event(0, 0)
        self.add_event(19, 1)
        self.add_event(96, 2)
        self.add_event(116, 3)
        self.add_event(39, 4)
        self.add_event(20, 5)
        # second backrake
        self.add_event(0+2260, 0)
        self.add_event(19+2260, 1)
        self.add_event(96+2260, 2)
        self.add_event(116+2260, 3)
        self.add_event(39+2260, 4)
        self.add_event(20+2260, 5)
        # R2L23F:
        # block puffer
        self.add_event(0+4213, 0)
        self.add_event(19+4213+627, 1)
        self.add_event(96+4213+625, 2)
        self.add_event(116+4213+625, 3)
        self.add_event(39+4213+627, 4)
        self.add_event(20+4213, 5)
        # forerake
        self.add_event(0+5978, 5)
        self.add_event(879+5978, 4)
        self.add_event(954+5978, 3)
        self.add_event(974+5978, 2)
        self.add_event(899+5978, 1)
        self.add_event(20+5978, 0)

    def construct(self):
        g.new('')
        g.setrule("LifeHistory")
        events = sorted(self.timeline, reverse=True)
        time = -240 * 20
        nextrow = time + 240
        top_y = 0
        for y in range(60):
            g.setcell(self.left, y, 6)
            g.setcell(self.right, y, 6)
        rephasing = [0] * len(self.columns)
        while events:
            if events[-1][0] < nextrow:
                t, c = events.pop()
                g.run(t-time)
                time = t
                x, y, excess = self.columns[c]
                #place bhep, reflecting in the odd columns
                g.putcells(self.b_hep,
                           x + (c%2),
                           rephasing[c] + y,
                           -1 if (c%2) else 1)
                #add blocks to absorb excess gliders
                for i in range(excess):
                    g.putcells(self.absorber,
                               x + (c%2),
                               rephasing[c] + y - 31 * i,
                               -1 if (c%2) else 1)
                    
                rephasing[c] += 31 - 9
            else:
                for x, y, _ in self.columns:
                    g.putcells(g.parse("2o$2o!", x, top_y+y))
                for _ in range(31):
                    top_y -= 1
                    g.setcell(self.left, top_y, 6)
                    g.setcell(self.right, top_y, 6)
                g.run(nextrow-time)
                time = nextrow
                nextrow += 240
                
s = silverfish()

s.add_R4L8F()

s.construct()
Here's what the code almost produces -- in about 4500 ticks it's a complete R4L8 forerake:

Code: Select all

x = 449, y = 2787, rule = B3/S23
22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$
198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$
198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b
2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b
2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b
2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b
2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b
2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b
2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b
2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b
2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o
7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$
198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$
198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b
2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b
2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b
2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b
2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b
2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b
2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b
2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b
2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o
7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$
198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$
198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b
2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b
2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b
2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b
2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b
2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b
2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b
2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b
2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o
7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$
198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$
198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b
2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b
2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b
2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b
2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b
2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b
2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b
2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b
2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o
7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$
198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$
198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b
2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b
2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b
2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$132b2o291bo$29b2o101b2o290b
2o$30b3o98bo291bo$20b2o9b2o98bob2o5b2o174b3o105b2o6b2o$20b2o10b2o97bo
3b2o3b2o177bo104b2ob2o3b2o$29b2obo286b2o103b4o$23bobo3b3o98bo181b3o3b
3o101b2ob3o$23b2o5bo98bobo180bo3bo4bo100b2ob2o$24bo110bo176bo3bo104bo
3b3o$135bo180bob4o101b3obo$131bobo184b2obo103bo$318b3o101bo2bo$130bobo
$131bo290b3o$18b2o111bo10b2o166b2o122b2o$18b2o122b2o166b2o122b2o7$22b
2o114b2o174b2o114b2o$22b2o114b2o114b2o58b2o114b2o$199bobo52b2o$196b2o
2bo4bo$196bobo6b2o$195b2obo2bo4b2o47b2o$195b2o9b2o46bo2bo2bo$197b2obob
5o47bob4ob2o$202bo2bo43b3o3bo2b2o2bo$202bo2bo42bo2bo9b2o$214bo22bo9b2o
bo$189b2o22bo2bo20bo3b3obo18b2o$214b3o20bo7bob4o13b2o$30b2o98b2o61bo
20b3o29b2o3bo10bo2bo56b2o98b2o$30b2o98b2o52bo62bo2bo10bo2bo13bo43b2o
98b2o$184bo4bo3b2o52bo2bo9bo4bo10b2o$185bobo5bobo51b3o9b2o3bo12b2o$
187bobo4b2o64b2o$188b2o4b2o65bo11bo$189bo2b3o76bobo$192b3o77b2o3$198b
2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o4$
206b2o38b2o$206b2o38b2o2$359bo$357bobo$358b2o2$229bobo$30b2o57bo40b2o
97b2o91b2o57bobo38b2o$30b2o57bobo38b2o98bo91b2o57b2o39b2o$89b2o291bo2$
227bobo$75bobo150b2o$76b2o150bo$76bo3$198b2o54b2o$198b2o54b2o7$22b2o
114b2o174b2o114b2o$22b2o114b2o174b2o114b2o4$206b2o38b2o$206b2o38b2o7$
30b2o98b2o190b2o98b2o$30b2o98b2o190b2o98b2o9$198b2o54b2o$198b2o54b2o7$
22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o12$30b2o98b2o190b2o98b
2o$30b2o98b2o190b2o98b2o9$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o
114b2o$22b2o114b2o174b2o114b2o5$419bo$417bobo$418b2o$32bo291bo$33b2o
288bobo$30b2ob2o290b2o$30b2obo288b2obo$30bo2bo288bo2bo96b2o$31b2o290b
2o97b2o9$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o
174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o
114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$
22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o
114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$23b3o112b2o
174b2o114b2o$21b5o112b2o174b2o114b2o$27b3o$20bo7b2o$20bo3b2o3bo110bo$
21bo2b2obob2o108bobo289b3o$22b6o110bo4b2o286b3o2bo$23bo3bo2bo102bo5bob
obobo170bo114bob3obo$29bo10bo92b2o8bob2o167b4o106b3o8bobo$33bo4bo2bo
84bo2bo2bobo10b3o159b2o4b6o100b2o5bo11bo$32bo6bobo78b3o3bo3bo14b3o158b
o2bo3bo4b2o93b2o3b4obo14b2o$14b2o23b2o85bo2b2o14bo2bo154bo3bobo17b2o
83b2o4bob2o4bo10bo2bo$13bo2bo15b3o98b3o8b3ob2o151b2o5b2o5bo9b2ob2o82b
2o12bo10bo2bo$8b3ob2ob3o102bo3bo8b3o8b3ob2o152b2o3bo8b2o7bo4bo82b3o10b
o10bo3bo$8b2o3bo2b3o102bo2bo2bo4bobo10bo2bo156b2o18bo3b3o82b3o3bo2bo2b
o10bo2bo$10b2obob2o2bo103bo3bo4b2o184bo7b2o4bo85b2o4b2o10b2obo$12b12o
120b3o8bo162b2o10bobo103b2o10bo$16bo5bo133b2o160b2o10b2o114bobo$17b2o
136b2o290b2o$18bo2bo$19bo$o$obo19b2o114b2o174b2o114b2o$2o20b2o114b2o
58b2o54b2o58b2o114b2o$198b2o54b2o11$30b2o98b2o190b2o98b2o$30b2o98b2o
190b2o10bo87b2o$332bobo$333b2o3$114bo291bobo$114bobo85b2o202b2o$114b2o
86b2o203bo$201bo$201b3o$50bobo149bobo$51b2o149b2o42b3o$51bo152bo40bo3b
o$204bo$206bo43bo$245b5o$246bo$22b2o114b2o174b2o114b2o$22b2o114b2o174b
2o114b2o3$256b2o$206b2o38b2o8b2o$206b2o38b2o5$257bo$256bobo$30b2o98b2o
123b2o65b2o98b2o$30b2o98b2o124bob2o62b2o98b2o$256bo2bo$257b2o7$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o4$
206b2o38b2o$206b2o38b2o7$30b2o98b2o190b2o98b2o$30b2o98b2o190b2o98b2o9$
198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b
2o11$394bo$30b2o98b2o190b2o68bobo27b2o$30b2o98b2o190b2o69b2o27b2o3$54b
o291bobo$54bobo289b2o$54b2o291bo3$110bobo$111b2o85b2o54b2o$111bo86b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o12$30b2o98b2o
190b2o98b2o$30b2o98b2o190b2o98b2o9$198b2o54b2o$198b2o54b2o7$22b2o114b
2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o7$22b
2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o54b2o
7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o22$198b2o54b2o$198b2o
54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o5$24b2o$24b3o$
15b2o5b2obo404b3o$14b3o3b2o2bo406b2o$14bo8b3o12bo378b3o3b3o$16b2o2b2o
4bo4b2o4bobo375b6obob6o7b2o$16b2o8bo3bobo382b2ob2o4b5obo5bobo$8bobo5bo
6bo2bo3bo6bo376bo3b2o4bo2bo2b4ob2obo$8b2o5bo7bobo4b2obo3bo377b6o3bo3b
7o2bo$9bo23b2o2bo3bo373b3o5bo4bo5b3o$32b2o3bo$36b2o3bo$37bob2o$38bo3$
22b2o406b2o$22b2o174b2o54b2o174b2o$198b2o54b2o7$138b2o174b2o$138b2o
174b2o99bo$414bo$414b3o$30b2o390b2o$30b2o390b2o$43bo$44bo$42b3o14$22b
2o406b2o$6b2o14b2o174b2o54b2o174b2o$5b2o191b2o54b2o$7bo3$441b2o$442b2o
$441bo$138b2o174b2o$138b2o174b2o3$30b2o390b2o$30b2o390b2o16$66b2o$22b
2o41b2o363b2o$22b2o43bo130b2o54b2o174b2o$198b2o54b2o2$381b2o$141bo240b
2o$137bo4b2o237bo$137bo3b3o$142b2o$142bo$136b2o3b2o171bobo$136bo4b2o
168b2obo2bo$135bo4b2o169b2obo2bo$30b2o103bo5bo168bob2o108b2o$30b2o103b
2o2bobo168b4o5bo102b2o$139bob2o177b2o$129b3o7bob2o170b2o6bo$310bo3b2ob
ob3o$311b5o$314bo4$142b2o166b2o$142b2o166b2o4$126b2o$125b2o$127bo$22b
2o114b2o174b2o114b2o$22b2o114b2o58b2o54b2o58b2o114b2o$198b2o54b2o65b2o
$322b2o$288bo32bo$286b2o$287b2o$201bo$200b2o52bo100bo$170bo20b2o6bo2bo
52bo98bo$171b2o18bo4b2obo55b2o97b3o$170b2o17bo7bo3bo40bo4b2o12bo$189bo
2bo3bobobobo5bo4b3o24b2ob2obo2b2ob2o7bo$30b2o71bo26b2o53bo6b2obo6bo4b
2o5b2o23b2o4b2o4bo2bo7bo59b2o98b2o$30b2o72bo25b2o52bo5bobo6b3o4b2o5b2o
23bo3bo2b4o5b3o3b2o60b2o98b2o$102b3o79b3o5bo7b2o5bobo3bobo23b3ob2o2b2o
2b3o3b2ob2o$208b2o4b4o22bo5bo12bo$209bo3bo2b2o$213bob2o$213b3o4$198b2o
54b2o$198b2o54b2o5$349bo$347bobo$22b2o114b2o174b2o32b2o80b2o$22b2o114b
2o174b2o114b2o$240bo$99bo138b2o$99bobo137b2o$99b2o105b2o38b2o$206b2o
38b2o$218bo$219b2o$218b2o4$30b2o98b2o190b2o98b2o$30b2o98b2o190b2o98b2o
9$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o
114b2o4$206b2o38b2o$206b2o38b2o7$30b2o390b2o$30b2o390b2o9$198b2o54b2o$
198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o12$30b2o
390b2o$30b2o390b2o9$198b2o54b2o$198b2o54b2o3$409bo$407bobo$408b2o2$22b
2o114b2o174b2o114b2o$22b2o15bo98b2o174b2o114b2o$39bobo$39b2o10$30b2o
390b2o$30b2o390b2o9$198b2o54b2o$198b2o54b2o7$138b2o174b2o108b2o$29b2o
107b2o174b2o107bobo$29bobo391bo2bo$20b2o7b3o390b2o2b2o4b2o$20b2o7b5o
390bob2o4b2o$32b2o$24bo4bob2o389bo$22b2o6bo391bo$23b2o5bo$426bo2$423b
2o$423bo$422b3o$18b2o414b2o$18b2o414b2o7$22b2o406b2o$22b2o174b2o54b2o
174b2o$198b2o54b2o7$138b2o174b2o114b2o$138b2o174b2o114b2o3$30b2o390b2o
$30b2o390b2o17$22b2o13bo392b2o$22b2o12b2o160b2o54b2o174b2o$36bobo159b
2o54b2o3$411bo$411b2o$410bobo2$138b2o174b2o114b2o$138b2o174b2o114b2o3$
30b2o350bo39b2o$30b2o348b2o40b2o$381b2o3$76bo$77b2o$76b2o2$135bo$134b
3o$133bo2bo$132b3o2b2o$133bo2b3o$134b2o2b2o$137b3o182bo$97bo36b4obo
179b6o$96b2o36b2o2b2o179b2o2b2o$22b2o72bobo38b2o291b2o$22b2o174b2o54b
2o64bo109b2o$198b2o54b2o64bo2b2o$130bo188bo3b2o26bo$129bo190bo30b2o$
129b3o188bobo27bobo$321bo6$312b2o$30b2o98b2o179bo10b2o98b2o$30b2o98b2o
179b3o8b2o98b2o$311bo$310bo2bo2$311bobo9$157bo$156b2o$156bobo2$22b2o
114b2o174b2o114b2o$22b2o114b2o63b3o85bo22b2o114b2o$202bo3bo84b2o$202bo
48b3o36bobo$196b2o9bo42bo2bo$196b2o5b2ob2o44b2o$203bo48bo2b3o$248bo3bo
bo3bo$248bo3bo5bo$248bo3bobob2o$247bo2b2obo$247bo2bo$248bo2bo$30b2o98b
2o75bo41b2o71b2o98b2o$30b2o98b2o73b3o114b2o98b2o$194b2o9b3o50b2o$194b
2o62b2o7$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o
174b2o114b2o4$206b2o38b2o$206b2o38b2o3$325bo$323bo2bo$322b2o$321bo3bo$
30b2o290bo2bo96b2o$30b2o291b2o97b2o9$198b2o54b2o$198b2o54b2o3$378bo$
379bo$377b3o2$22b2o114b2o174b2o114b2o$22b2o46bo67b2o69bobo102b2o114b2o
$69bo139b2o$69b3o138bo2$206b2o$206b2o7$30b2o390b2o$30b2o390b2o9$198b2o
54b2o$198b2o54b2o7$22b2o114b2o174b2o114b2o$22b2o114b2o174b2o114b2o12$
30b2o390b2o$30b2o390b2o9$198b2o54b2o$198b2o54b2o7$22b2o114b2o174b2o
114b2o$22b2o114b2o174b2o114b2o!
The code only almost produces this, though, because in the actual script output the right-hand climber in the final forerake doesn't survive, for some reason that I haven't figured out yet.

I'd like to be able to define R4L8F as something like

Code: Select all

    def add_R4L8F(self):
        self.add_backrake(0)
        self.add_backrake(2260)
        self.add_R2L23F(4213)
or maybe

Code: Select all

    def add_R4L8F(self):
        self.add_backrake()
        self.advance(2260)
        self.add_backrake()
        self.advance(1953)
        self.add_R2L23F()
... where R2L23F is something like

Code: Select all

    def add_R2L23F(self):
        self.add_blockpuffer()
        self.advance(1765)
        self.add_forerake()
Would that work, if I defined add_R2L23F and add_blockpuffer()? Or is that not the right way to think about this?

Also, what exactly is going wrong with that right-side climber in the final forerake?

EDIT: Probably the way the block puffer is defined, with the relatively large timing difference between central and edge climbers, is allowing a glider to escape rightward before other climbers' debris starts to run interference correctly. I haven't dug in and worked out the details yet, but what's the best way to patch this in a definition? Just kludge in an add_block() to catch the offending glider, maybe?

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: 31c/240 caterpillar working notes

Post by chris_c » June 17th, 2020, 12:30 pm

dvgrn wrote:
June 17th, 2020, 11:46 am
Okay, here's my first attempt to extend chris_c's script. It's wrong, but still very promising.
Great, I'm glad you were tempted to try it. I'm also keen to get going but not very good at putting things down once I start... therefore delaying.

I debugged your script by changing "while events:" into "while len(events) > 4:".

When you run the script, the collision is now about to happen at the bottom right. This looks just too quick and hopefully not an error in the script?

User avatar
dvgrn
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Posts: 7274
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
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Re: 31c/240 caterpillar working notes

Post by dvgrn » June 17th, 2020, 3:03 pm

chris_c wrote:
June 17th, 2020, 12:30 pm
When you run the script, the collision is now about to happen at the bottom right. This looks just too quick and hopefully not an error in the script?
Yeah, there's nothing wrong with the script, it's just that the forerake at the end of the R4L8F isn't a forerake -- it's a teardrop puffer (see below), and when I assumed that it was in backwards like a forerake, that pushed the right side forward 20 ticks into illegal territory. The following works to re-create the current R4L8F:

Code: Select all

import golly as g

class silverfish:
    time = 0
    timeline = []
    columns = []
    b_hep = g.parse("bo$3o$ob2o!", 7, 31)
    absorber = g.parse("2o$2o!", 50, 66)

    def __init__(self):
        self.add_column(0, 0, 3)
        self.add_column(116, 0, 3)
        self.add_column(176, 23, 1)
        self.add_column(232, 23, 1)
        self.add_column(292, 0, 3)
        self.add_column(408, 0, 3)
        
    def add_column(self, x, y, excess):
        self.columns.append((x,y,excess))
        self.left = min(x for x, _, _ in self.columns) - 30
        self.right = max(x for x, _, _ in self.columns) + 31
    
    def advance(self, t):
        self.time += t

    #will add a bheptomino at time t to column c
    def add_event(self, t, c):
        self.timeline.append((self.time+t, c))

    def add_rephaser(self):
        self.add_event(0, 0)
        self.add_event(419, 1)
        self.add_event(494, 2)
        self.add_event(514, 3)
        self.add_event(439, 4)
        self.add_event(20, 5)
    
    def add_forerake(self):
        self.add_event(0, 5)
        self.add_event(879, 4)
        self.add_event(954, 3)
        self.add_event(974, 2)
        self.add_event(899, 1)
        self.add_event(20, 0)
    
    def add_backrake(self):
        self.add_event(0, 0)
        self.add_event(19, 1)
        self.add_event(96, 2)
        self.add_event(116, 3)
        self.add_event(39, 4)
        self.add_event(20, 5)

    def add_R4L8F(self):
        # first backrake
        self.add_event(0, 0)
        self.add_event(19, 1)
        self.add_event(96, 2)
        self.add_event(116, 3)
        self.add_event(39, 4)
        self.add_event(20, 5)
        # second backrake
        self.add_event(0+2260, 0)
        self.add_event(19+2260, 1)
        self.add_event(96+2260, 2)
        self.add_event(116+2260, 3)
        self.add_event(39+2260, 4)
        self.add_event(20+2260, 5)
        # R2L23F:
        # block puffer
        self.add_event(0+4213, 0)
        self.add_event(19+4213+627, 1)
        self.add_event(96+4213+625, 2)
        self.add_event(116+4213+625, 3)
        self.add_event(39+4213+627, 4)
        self.add_event(20+4213, 5)
        # teardrop puffer
        self.add_event(0+5998, 0)
        self.add_event(879+5998-216, 1)
        self.add_event(954+5998-216, 2)
        self.add_event(974+5998-216, 3)
        self.add_event(899+5998-216, 4)
        self.add_event(20+5998, 5)

    def construct(self):
        g.new('')
        g.setrule("LifeHistory")
        events = sorted(self.timeline, reverse=True)
        time = -240 * 20
        nextrow = time + 240
        top_y = 0
        for y in range(60):
            g.setcell(self.left, y, 6)
            g.setcell(self.right, y, 6)
        rephasing = [0] * len(self.columns)
        while events:
            if events[-1][0] < nextrow:
                t, c = events.pop()
                g.run(t-time)
                time = t
                x, y, excess = self.columns[c]
                #place bhep, reflecting in the odd columns
                g.putcells(self.b_hep,
                           x + (c%2),
                           rephasing[c] + y,
                           -1 if (c%2) else 1)
                #add blocks to absorb excess gliders
                for i in range(excess):
                    g.putcells(self.absorber,
                               x + (c%2),
                               rephasing[c] + y - 31 * i,
                               -1 if (c%2) else 1)
                    
                rephasing[c] += 31 - 9
            else:
                for x, y, _ in self.columns:
                    g.putcells(g.parse("2o$2o!", x, top_y+y))
                for _ in range(31):
                    top_y -= 1
                    g.setcell(self.left, top_y, 6)
                    g.setcell(self.right, top_y, 6)
                g.run(nextrow-time)
                time = nextrow
                nextrow += 240
                
s = silverfish()

# sample bi-block puffer
# s.add_backrake()
# s.advance(2048)
# s.add_forerake()
# s.advance(3000)
s.add_R4L8F()

s.construct()
It produces more or less this pattern:

Code: Select all

x = 466, y = 3226, rule = B3/S23
28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o
54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$
204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o
54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$
204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b
2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b
2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b
2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b
2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b
2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o
7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o
54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$
204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o
54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$
204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b
2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b
2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b
2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b
2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b
2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o
7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o
54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$
204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o
54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$
204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b
2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b
2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b
2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b
2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b
2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o
7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o
54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$
204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o
54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$
204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b
2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b
2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b
2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b
2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b
2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o
7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o
54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$
204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o
54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$
204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b
2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b
2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b
2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b
2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b
2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o
7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o
54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$
204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o
54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$
204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b
2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b
2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b
2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b
2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b
2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o18$32b2o$32b2o$31bo$31b3o$
32bobo102bo66b2o54b2o$32b2o102b3o65b2o54b2o166b3o$34bo101b3o288bo3bo$
34bo$36bo99b4o292bo$135b5o287b5o$135b2obo289bo3$327b2o$326bobo$146b2o
170b2o5bo2bo109b2o$36b2o98b2o8b2o170b2o108b2o8b2o$36b2o98b2o188b2obo
98b2o$327bo3bo$320bo7bobo$320bobo$320b2o$147bo291bo$145b2o291bobo$145b
2ob2o287b2o$146bob2o288bob2o$146bo2bo166b2o120bo2bo$147b2o167b2o121b2o
7$28b2o114b2o115bo58b2o114b2o$28b2o114b2o115b2o57b2o114b2o$260bobo$
260bobobo$260b2ob2obo$209b2o56bo$202bo5bo2bo53b2o$209b3obo38bo$201bobo
5bo3bo38bo$202bo10bo38bo4$36b2o98b2o190b2o98b2o$36b2o98b2o190b2o98b2o$
200b2o62b2o$200b2o62b2o7$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o
114b2o$28b2o114b2o174b2o114b2o4$212b2o38b2o$212b2o38b2o7$36b2o98b2o
190b2o98b2o$36b2o98b2o190b2o98b2o5$376bo$374bobo$375b2o2$204b2o18bobo
33b2o$84bo119b2o18b2o34b2o114bobo$84bobo138bo150b2o$84b2o291bo2$244bob
o$92bobo150b2o$93b2o150bo$28b2o63bo50b2o174b2o114b2o$28b2o114b2o174b2o
114b2o4$212b2o38b2o$212b2o38b2o7$36b2o98b2o190b2o98b2o$36b2o98b2o190b
2o98b2o9$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o
174b2o114b2o12$36b2o98b2o190b2o98b2o$36b2o98b2o190b2o98b2o9$204b2o54b
2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o22$204b
2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o114b2o
22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o
114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o
174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o
114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o6$145bo$144b4o288b3o$143bo
bo2bo173bo112bobob2o$31bo115b3o168b5o4b2o106bo3b2o$25b3o116bo4bo170b2o
5bobo107bo4bo$31bobo110b2o3b3o284bo5bo$24bo3bo3b2o105bo3b3o171bo2b2ob
4o103bobo3bo5bo$25bobo4bo4bo99b5ob2o173b2o3b4o2bo99bo2bo3bo$26bo10bo
98b3ob5o179bo104bo3bobo4bo$37bo99b5ob2o3b2o279bo2bo2bo4bo$139bo4bo2b3o
280bobo2bo5bo$146b3o186bo2bo98b2obo$146b2o187bo3bo99bo$336bobo$315b2o
20bo$24b2o122b2o156b2o7b2o123b2o$24b2o122b2o158bo6bobo122b2o$308b2obo
3bo2bo$311b2o$310b2o2bo$314bobo$315bo2$28b2o114b2o152bo21b2o114b2o$28b
2o114b2o58b2o54b2o34b2o22b2o114b2o$204b2o54b2o35b2o3$172bo292bo$173b2o
288bobo$172b2o290b2o$204bo$203bobo$203bobo5bo5bo39bo$207b2o3bo2bo40bob
o$197b2o7bo8bo4bo38bo$36b2o98b2o58b2ob2o2bobo15bo32b3o2bo68b2o98b2o$
36b2o98b2o59bob2o10b2o8bo31b2o3b2o68b2o98b2o$198bo8b2o2b2o2bo5bo32b2ob
2o$199b3ob3obo8bo3bo34b2ob2o$200bo18bo36bo2bo$256bo2bo$258b2o4$204b2o
54b2o$204b2o54b2o$351bo$349bobo$350b2o2$249bobo$109bo139b2o150bobo$28b
2o79bobo32b2o104bo69b2o79b2o33b2o$28b2o79b2o33b2o174b2o80bo33b2o2$219b
obo$67bobo150b2o$68b2o142b2o6bo31b2o$68bo143b2o38b2o7$36b2o98b2o190b2o
98b2o$36b2o98b2o190b2o98b2o9$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b
2o114b2o$28b2o114b2o174b2o114b2o4$212b2o38b2o$212b2o38b2o7$36b2o98b2o
190b2o98b2o$36b2o98b2o190b2o98b2o9$204b2o54b2o$204b2o54b2o7$28b2o114b
2o174b2o114b2o$28b2o114b2o174b2o114b2o12$36b2o98b2o190b2o98b2o$36b2o
98b2o190b2o98b2o9$204b2o54b2o149bo$204b2o54b2o147bobo$410b2o3$49bo291b
obo$49bobo289b2o$49b2o291bo$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o
114b2o$127bobo$128b2o$128bo9$36b2o98b2o190b2o98b2o$36b2o98b2o190b2o98b
2o9$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o174b2o
114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o
174b2o114b2o22$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o
114b2o174b2o114b2o22$204b2o54b2o$204b2o54b2o6$29bo$27b4o113b2o174b2o
114b2o$27bo7bo108b2o174b2o114b2o$26b3o3bo3bo400b3o$25b4o3b5o400bo$24bo
3bo6bo395bob2obo5bo$28bobo2b3o394b2o3b2o6bo$25b2obobobo396b2o10bobo$
27bo3bo400b2o2bo5bo$424bo5b2o5b3o$423b3o6bo2bo$44b3o371b3o2bo11bo$45bo
378b2o20b2o$45bo380bo7b2o6b2ob2obo$44b3o386b2o6b2ob2o2b2o$24b2o401bo2b
o8bobo6bo$19bo2bo2bo402bobo7b2ob2ob4o$19bo3bo415b2o5bo$20b4o405b2o9bob
ob2o$20bo$20bo434bobo$21bo434b2o$21b2o433bo$28b2o406b2o$28b2o174b2o54b
2o174b2o$3bobo198b2o54b2o$3b2o$4bo5$144b2o174b2o$144b2o174b2o3$36b2o
390b2o$36b2o390b2o7$b2o407bo$2o407bo$2bo406b3o3$60bo397b2o$61bo397b2o$
59b3o396bo3$28b2o406b2o$28b2o174b2o54b2o174b2o$204b2o54b2o7$144b2o174b
2o$144b2o174b2o3$36b2o390b2o$36b2o390b2o5$61b2o$60b2o$62bo3$398b2o$
399b2o$398bo5$28b2o406b2o$28b2o174b2o54b2o174b2o$204b2o54b2o6$139bo$
138b3o$138b2obo181bo$322b3o$136b2o2bo5b2o173bo$36b2o98b2ob2o5b2o171bob
4o103b2o$36b2o101b2o177b4ob2o103b2o$317bob2o2b2o$317bo2bo2b2ob3o$121b
2o195bo4bo2b3o$120b2o200b7o$122bo200bob4o$324bo2bo$136bo188b2o$135bo2b
o199b2o$136bobo9b2o166b2o21b2o$137bo10b2o166b2o20bo7$28b2o114b2o174b2o
114b2o$28b2o114b2o58b3o53b2o58b2o114b2o$202b2o2bo3b2o48b2o$205b2obo3bo
$201bo2bob4obo50b3o$201b2ob3o4bo44b2o3b6o$201b2obobobobo44b3ob2obobo2b
o$202bobobo3bo42b2o3bobo2bobobo$203bo3b2o43bo2b3ob2ob2o2bo$221bo32b2o
2bo3b2o$221bo21bo3b3o7b2o11bo$220b3o20bo4bo8b2o8bo3bo$243bo5bo8bo7bo$
36b2o98b2o111bo6bob2o9b2obo55b2o98b2o$36b2o98b2o82b3o28b2o4bo7bob3ob2o
55b2o98b2o$181b2o17b2o19bo32bo8b3o6bo10bo$180b2o13bob2o2bo19bo30b3o8bo
2bob2obo9b2o$182bo11bob3obo52bo9bo3b2obo11b2o$197bo55bo10bo3bo$193bo6b
o53bo10bobo12bo69bo$195bobo2bo80bo67bo$197bo81b3o67b3o$197b2o$204b2o
54b2o$120bo83b2o54b2o$121bo$119b3o5$28b2o114b2o174b2o114b2o$28b2o114b
2o174b2o114b2o4$212b2o38b2o$212b2o38b2o3$366bo$364bobo$365b2o2$36b2o
98b2o97bo92b2o98b2o$36b2o56bo41b2o95b2o93b2o98b2o$94bobo137b2o$94b2o2$
235bo$236b2o$235b2o3$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$
28b2o114b2o174b2o114b2o4$212b2o38b2o$212b2o38b2o7$36b2o390b2o$36b2o
390b2o9$204b2o54b2o$204b2o54b2o7$28b2o114b2o174b2o114b2o$28b2o114b2o
174b2o114b2o12$36b2o390b2o$36b2o390b2o9$204b2o54b2o$204b2o54b2o7$28b2o
114b2o174b2o114b2o$28b2o114b2o174b2o114b2o6$426bo$424bobo$37bo387b2o$
36b3o$35b2ob2o$38b3o$36b2obo388b2o$37b2o389b2o$37bo4$32b2o$31bobo$30b
2o$32bo$32bobo169b2o54b2o166b3o$34b2o168b2o54b2o$33b3o392bobo$431bo$
427bo3bo2$427bo2b2o2$144b2o174b2o$144b2o174b2o2$438b2o$36b2o390b2o8b2o
$36b2o390b2o5$438bo$437bo2bo$440b2o$438bo3bo$438bo2bo$439b2o7$28b2o
406b2o$28b2o174b2o54b2o174b2o$204b2o54b2o7$144b2o174b2o$144b2o174b2o3$
36b2o390b2o$36b2o390b2o17$28b2o406b2o$28b2o174b2o54b2o174b2o$204b2o54b
2o7$144b2o174b2o$144b2o174b2o3$36b2o56b2o274b2o56b2o$36b2o56b2o274b2o
56b2o2$142bo$141b2o176b3o$140bobo3b2o3b2o164bo3b2o$131b2o7b2o3bo3b2o2b
o165bobo$130bo2b2o7b3o4b2ob2o161b4o2b2o5bo4b2o$129bo5bo13b2o5bobo155b
2o5b2o2bob3o3bobo$128bo2b2o2bo6b2o7bobo3b2o156bobo3b2o2b2o4bo3bo$127b
2ob2ob3o5b2o10bo3bo158b2o7b5o4b2o$127bo2bo10b2o183bo2bo$127bob2o11bo
188bo$128b2o11bo5$28b2o114b2o174b2o114b2o$28b2o114b2o58b2o54b2o58b2o
114b2o$204b2o54b2o7$335bo$336bo$334b3o2$36b2o56b2o40b2o190b2o40b2o56b
2o$36b2o56b2o29bo10b2o190b2o40b2o56b2o$124bo$124b3o8$211b3o$212bo$210b
3o6$253bo$252b3o$251b2obo2$212b2o$212b2o7$94b2o274b2o$94b2o274b2o22$
210b2o42b2o$210b2o42b2o!
So now I just have to sort out what those "-216" numbers are about. I.e., which version _should_ be the standard forerake?

EDIT: Ah, of course, it's not a forerake at all -- it's a teardrop puffer. And it's not in backwards, because the output gliders don't cross the midline the way they do in a forerake.

... Any advice on the "right" way to define add_R4L8F in terms of standard backrakes plus add_R2L23F, and add_R2L23F in terms of a block puffer and a teardrop puffer?

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: 31c/240 caterpillar working notes

Post by chris_c » June 17th, 2020, 5:07 pm

In the latest update to the script on github the add_R4L8F function looks like this:

Code: Select all

    def add_R4L8F(self):
        # first backrake
        self.add_backrake()
        # second backrake
        self.add_backrake(2260)
        # R2L23F:
        # block puffer
        self.add_standard_row(10, 3974)
        # teardrop puffer
        self.add_standard_row(-7, 5998)
The add_forerake, add_backrake and add_rephaser functions now have an optional parameter 'offset' measured in ticks.

There is a new helper function that is uninspiringly named 'add_standard_row'. It also has an offset parameter. The first parameter delta is the time in ticks between the outputted glider pair. A delta of 0 would give an interchange for example. The add_rephaser function uses delta=237.

The script adds twice as many blocks vertically so that the boundary cells only span half of the vertical height of the final pattern. If you let the pattern run then the rakes should sprout out of the top of the boundary zone and then the results can be edited by hand.

Also I made this rule that has the boundary cells like in LifeHistory but none of the pattern history stuff. Probably it is more suitable for this script:

Code: Select all

@RULE LifeBoundary

state 0:  OFF
state 1:  ON
state 2:  boundary

@TABLE

n_states:3
neighborhood:Moore
symmetries:permute

var a={0,1,2}
var b={0,1,2}
var c={0,1,2}
var d={0,1,2}
var e={0,1,2}
var f={0,1,2}
var g={0,1,2}
var h={0,1,2}
var i={0,2}
var j={0,2}
var k={0,2}
var l={0,2}
var m={0,2}

0,1,1,1,i,j,k,l,m,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,a,b,c,d,e,f,g,h,0

@COLORS

1  240  240  240
2   96   96   96

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dvgrn
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Location: Madison, WI
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Re: 31c/240 caterpillar working notes

Post by dvgrn » June 17th, 2020, 5:50 pm

chris_c wrote:
June 17th, 2020, 5:07 pm
In the latest update to the script on github ... [t]he add_forerake, add_backrake and add_rephaser functions now have an optional parameter 'offset' measured in ticks.
Looks great, thanks! I can work on making definitions for the rest of the standard rakes. If anyone wants to tackle the double rake or the Silverfish tail, I won't get to those for a while.
chris_c wrote:
June 17th, 2020, 5:07 pm
Also I made this rule that has the boundary cells like in LifeHistory but none of the pattern history stuff. Probably it is more suitable for this script...
That seems fine. Another option would be to use LifeSuper, which has state 6 and also various no-history states -- state 7 (which also leaves behind a mark showing where state 7 used to be), and all odd states 13 and above (which don't leave any permanent marks). I suspect {rule}Super will have high-speed custom support in LifeViewer across all isotropic two-state rules, one of these years... not sure about Golly.

The switch to LifeSuper would be these five lines:

Code: Select all

    b_hep = g.parse(".M$3M$M.2M!", 7, 31)
    absorber = g.parse("2M$2M!", 50, 66)
    ...
        g.setrule("LifeSuper")
        ...
                    g.putcells(g.parse("2M$2M!", x, 2*top_y+y))
                    g.putcells(g.parse("2M$2M!", x, 2*top_y-31+y))
I don't know if more annotation options might be useful somewhere along the way -- each rake a different color, or whatever. If you'd rather keep things simpler, plain old g.setrule("LifeBoundary") is really just as good.

If somebody gets ambitious, this script might also be handy for doing exhaustive tests on combinations of two, three, maybe four standard_rows with different timings, and just collect all the rare ones that produce forward or backward gliders (and don't destroy the rake or any of the block trails). Might pick up a few more output lanes that way.

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dvgrn
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Re: 31c/240 caterpillar working notes

Post by dvgrn » June 17th, 2020, 7:02 pm

Argh. I thought I might have a good idea here: it's possible to use 180-degree kickbacks as well as 90-degree kickbacks to get new glider lanes. You'd end up with a lane +6 or -6 away from the forerake you start from.

The first implementation of the idea looks like this:

Code: Select all

x = 1731, y = 4647, rule = B3/S23
809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o
114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b
2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o
54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o
$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b
2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o
22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b
2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o
7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b
2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b
2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$
809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o
114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b
2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o
54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o
$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b
2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o
22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b
2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o
7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b
2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b
2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$
809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o
114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b
2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o
54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o
$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b
2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o
22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b
2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o
7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b
2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b
2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$
809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o
114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b
2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o
54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o
$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b
2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o
22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b
2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o
7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b
2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b
2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$
809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o
114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b
2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o
54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o
$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o22$809b
2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o
22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b
2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$640b3o166b2o54b2o$641bo167b2o54b2o$639b3o5$931bob
o$741b3o186bo103bo$740bo2bo187bo2bo98b3o$740b2obo186b2obo98b2obo$631b
2o118b2o170b2o4b3obo109b2o$631b2o8b2o108b2o170b2o4bo3bo109b2o$641b2o
286bo3bo$930bo2$751bo289bobo$749bobo290b2o$630bo119b2o290bo$629bobo$
628bo3bo301bo$628bo3bo302bo$632bo120b2o166b2o12bo109b2o$629b3o121b2o
166b2o122b2o6$808bo$633b2o114b2o56b3o54b2o59b2o114b2o$633b2o114b2o55bo
3b2o52b2obo57b2o114b2o$807b5o$812bo45bo3bo6bo$806b2o3bo46bob3o2bo3bo$
806b2o2b2o50bo3bob2o$808b2o49b3obo2bo2bo$818bo41b3obobobo$818bo44bo3b
2o$818bo$849bo$848b3o2$641b2o98b2o190b2o98b2o$641b2o98b2o105b3o82b2o
98b2o$805b2o42bo19b2o$805b2o62bobo$870b2o3bo$871b5o$872bob2o$873b2o$
872b3o$872b2o$809b2o54b2o$809b2o54b2o2$1091bo$1089bobo$1090b2o3$579bo
53b2o114b2o174b2o114b2o$579bobo51b2o114b2o174b2o114b2o$579b2o3$817b2o
38b2o$817b2o38b2o7$641b2o98b2o190b2o98b2o$641b2o98b2o190b2o98b2o$977bo
$975bobo$976b2o2$833bobo$693bo139b2o150bobo$693bobo138bo150b2o$693b2o
291bo$809b2o54b2o$809b2o34bobo17b2o$693bobo150b2o$694b2o150bo$694bo4$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o4$817b2o38b2o$817b2o
38b2o7$641b2o98b2o190b2o98b2o$641b2o98b2o190b2o98b2o9$809b2o54b2o$809b
2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o12$641b2o98b
2o190b2o98b2o$641b2o98b2o190b2o98b2o9$809b2o54b2o$809b2o54b2o284bo$
1149bobo$1150b2o3$519bo$519bobo$519b2o112b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o6$1033bo$1032b3o$1031b2ob2o$1030bo$1029bo4bob2o$
1029bo4bobo$1030bo4bo10$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o21$1211bo$809b2o54b2o342bobo$
809b2o54b2o343b2o3$459bo$459bobo$459b2o2$633b2o114b2o174b2o114b2o$633b
2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b
2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o
174b2o114b2o$633b2o114b2o174b2o114b2o19$1271bo$1269bobo$1270b2o$809b2o
54b2o$809b2o54b2o$399bo$399bobo$399b2o4$633b2o114b2o174b2o114b2o$633b
2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b
2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o
174b2o114b2o$633b2o114b2o174b2o114b2o17$1331bo$1329bobo$1330b2o3$339bo
469b2o54b2o$339bobo467b2o54b2o$339b2o6$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o15$1391bo$1389bobo$1390b2o3$279bo$
279bobo$279b2o528b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o13$1451bo$1449bobo$1450b2o3$219bo$
219bobo$219b2o2$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b
2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b
2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o
174b2o114b2o$633b2o114b2o174b2o114b2o11$1511bo$1509bobo$1510b2o3$159bo
$159bobo$159b2o4$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o9$1571bo$1569bobo$1570b2o3$99bo
$99bobo$99b2o6$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b
2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b
2o$633b2o114b2o174b2o114b2o22$809b2o54b2o$809b2o54b2o7$633b2o114b2o
174b2o114b2o$633b2o114b2o174b2o114b2o7$1631bo$1629bobo$1630b2o3$39bo$
39bobo$39b2o8$44bo764b2o54b2o$43b2o764b2o54b2o$43bobo3$1626bo$1626b2o$
1625bobo$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o20$104bo$
103b2o$103bobo703b2o54b2o$809b2o54b2o2$1566bo$1566b2o$1565bobo3$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o18$164bo$163b2o$163bobo2$
809b2o54b2o$809b2o54b2o639bo$1506b2o$1505bobo5$633b2o114b2o174b2o114b
2o$633b2o114b2o174b2o114b2o4$1588bobo$1588b2o$1589bo3$90bobo$91b2o$91b
o5$224bo$223b2o$223bobo3$1446bo$809b2o54b2o579b2o$809b2o54b2o578bobo7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o14$284bo$283b2o$283bo
bo3$1386bo$1386b2o$1385bobo$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o12$344bo$343b2o$343bobo3$1326bo$1326b
2o$1325bobo3$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o2$1528bobo$1528b2o$1529bo3$150bobo$151b2o$151bo$404b
o$403b2o$403bobo3$1266bo$1266b2o$1265bobo5$809b2o54b2o$809b2o54b2o7$
633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o8$464bo$463b2o$463bob
o3$1206bo$1206b2o$1205bobo7$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b
2o114b2o$633b2o114b2o174b2o114b2o6$524bo$523b2o$523bobo3$1146bo$1146b
2o$1145bobo9$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o425bobo$1468b2o$1469bo2$584bo$210bobo370b2o$211b2o
370bobo$211bo2$1086bo$1086b2o$1085bobo11$809b2o54b2o$809b2o54b2o7$633b
2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o2$644bo$643b2o$643bobo3$
1026bo$1026b2o$1025bobo13$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o
114b2o$633b2o69bo44b2o174b2o114b2o$703b2o$703bobo3$966bo$966b2o$965bob
o15$809b2o54b2o$809b2o54b2o6$764bo643bobo$633b2o114b2o12b2o160b2o114b
2o365b2o$633b2o114b2o12bobo159b2o114b2o366bo3$270bobo633bo$271b2o633b
2o$271bo633bobo17$809b2o54b2o$809b2o54b2o4$824bo$823b2o$823bobo$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o$846bo$846b2o$845bobo19$
809b2o54b2o$809b2o54b2o2$884bo$883b2o$883bobo3$633b2o114b2o35bo138b2o
114b2o$633b2o114b2o35b2o137b2o114b2o$785bobo21$809b2o54b2o$809b2o54b2o
77bo$943b2o$943bobo2$1348bobo$726bo621b2o$726b2o621bo$633b2o90bobo21b
2o174b2o114b2o$633b2o114b2o174b2o114b2o$330bobo$331b2o$331bo710b2o$
1041bobo$1041b3o2b3o$636bo399b2o7b2ob2o$636b2o399b2o10bo$626b2o3b2o3bo
bo390bo4bobo$625bo2b2o3bo3b2o7b2o375b3o3bo2b3o16b2o$625b2ob2o4b3o7b2o
2bo380bo2b3o2bo13b2o$620bobo5b2o13bo5bo386b2o$620b2o3bobo7b2o6bo2b2o2b
o384b3o10b4o$621bo3bo10b2o5b3ob2ob2o382b2o11bob3o$636b2o10bo2bo383b2o
10bo3bo$636bo11b2obo395b3o$637bo11b2o407bobo$1059b2o$1059bo3$633b2o
369bo36b2o$633b2o174b2o54b2o136b2o36b2o$809b2o54b2o136bobo3$666bo$666b
2o$665bobo2$749b2o174b2o$749b2o174b2o3$641b2o390b2o$641b2o10bo379b2o$
654bo$652b3o3$1017bo$1016bo$1016b3o7$1728b3o$1064bo665bo$1063b2o664bo$
633b2o406b2o20bobo$633b2o174b2o54b2o174b2o$809b2o54b2o$606bo$606b2o$
605bobo4$749b2o174b2o$749b2o174b2o3$641b2o390b2o$641b2o390b2o7$3o$o$bo
3$1063b2o603b3o$1062bobo605bo$1064bo604bo3$616b2o15b2o406b2o$616bobo
14b2o174b2o54b2o174b2o$616bo192b2o54b2o2$1288bobo$1288b2o$1289bo3$390b
obo356b2o174b2o$391b2o356b2o174b2o$391bo2$641b2o390b2o$641b2o390b2o5$
60b3o$60bo$61bo3$1003b2o603b3o$1002bobo605bo$1004bo604bo3$676b2o$676bo
bo$633b2o41bo364b2o$633b2o174b2o54b2o174b2o$809b2o54b2o9$747bo179b3o$
713bo37b3o173bo2bo$641b2o71bo30bobo179b2o104b2o$641b2o69b3o30b2o3bo3bo
168b3o2bo104b2o$741bo4bo4bobo168bo3bobo3bo$741bo10bo169bo5bo3bo$120b3o
618bo181b2obobo3bo24bo$120bo806bob2o2bo22bo$121bo808bo2bo22b3o$929bo2b
o$930b2o$943b2o603b3o$753b2o166b2o19bobo605bo$753b2o166b2o21bo604bo3$
736b2o$736bobo$736bo2$633b2o114b2o174b2o114b2o$633b2o114b2o58b2o54b2o
58b2o114b2o$809b2o54b2o3$866b5o$860b4obobo3b2o$812bo46bo5bo5b2o$809b2o
2b2o42b2o2b2o2b4obo$808b2o43bo3b2obo2bo3bo$783bo16b2ob2o3bo3bo40bo2b2o
3b2o12bo$781bobo17bo2bo4b4o34b3o3bo2b2ob2obo10b3o$782b2o17b2obo9bo3b2o
4b3o27b7o2bo8b3obo$641b2o98b2o58bo12bob2ob2o34b7obo7b2o5b2o53b2o98b2o$
641b2o98b2o53bo5b2o7bo2bobo8bo33bo3bo6bob2o2bo56b2o98b2o$180b3o611b2o
7bo7bo4bo4bobobo33bo9bo4b3o10bo$180bo614b2o20bo8bo30b2o9b2o4b3o10bobo$
181bo637b3o4bo31bo10b4o14b2o$820bobo4bo30bobo9b3o$823bo3bo31bo11b2o11b
o$824b4o57b2o601b3o$884b2o604bo$1489bo$809b2o54b2o$809b2o54b2o7$633b2o
114b2o174b2o114b2o$633b2o114b2o174b2o114b2o$1228bobo$1228b2o$709bobo
517bo$709b2o106b2o38b2o$710bo106b2o38b2o$450bobo$451b2o378bo$451bo377b
obo137bobo$830b2o138b2o$970bo2$240b3o398b2o196bo193b2o$240bo400b2o196b
obo191b2o$241bo597b2o3$1428b3o$1430bo$1429bo3$809b2o54b2o$809b2o54b2o
7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o4$817b2o38b2o$817b
2o38b2o5$300b3o$300bo$301bo339b2o390b2o$641b2o390b2o2$1368b3o$1370bo$
1369bo5$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o
174b2o114b2o8$360b3o$360bo$361bo2$641b2o390b2o$641b2o390b2o273b3o$
1310bo$1309bo7$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o125bob
o$633b2o114b2o174b2o114b2o125b2o$649bobo517bo$649b2o$650bo$510bobo$
511b2o$420b3o88bo517bobo$420bo609b2o$421bo608bo3$1248b3o$641b2o390b2o
215bo$641b2o390b2o214bo9$809b2o54b2o$809b2o54b2o4$632bo$631bo2bo406bo$
630bo3bo405bobo$630bo4bo113b2o174b2o113bobo$630b7o112b2o174b2o114bo$
630bo2bo2b2o400b2o$629b4o3bo401b3ob2o2bo$630bo5bo402bob3o$480b3o148b2o
2bo403bo$480bo151b2o8bo393bo3b3o2bo$481bo160bo395b8o$642bo382bo12bo$
1024bobo$1188b3o$1190bo$1189bo2$629b2o393bobo18b2o$629b2o394bo19bo$
1046bo6$633b2o406b2o$633b2o174b2o54b2o174b2o$809b2o54b2o200bo$1068bo$
1066b3o3$603bo$602bo$602b3o144b2o174b2o$749b2o174b2o2$540b3o$540bo100b
2o390b2o$541bo99b2o390b2o3$1128b3o$1130bo$1129bo8$1010bo$1008b2o$1009b
2o2$633b2o406b2o$633b2o35bo138b2o54b2o174b2o$671b2o136b2o54b2o$670b2o
6$749b2o174b2o$749b2o174b2o3$598b2o41b2o390b2o$597b2o42b2o390b2o$599bo
3$1071b2o$1072b2o$1071bo11$633b2o406b2o$633b2o174b2o54b2o174b2o$809b2o
54b2o7$749b2o174b2o$749b2o174b2o$658b2o$657b2o$641b2o16bo373b2o$641b2o
390b2o2$1011b2o$1012b2o$1011bo3$600bo$599b2o$599bobo3$1070bo$1070b2o$
1069bobo3$633b2o406b2o$633b2o174b2o54b2o174b2o$809b2o54b2o3$741b3o$
740bo2bo$744bo$740b2o$718b2o20b2o3bo184b3o$717b2o26bo$719bo23bo188b2o$
741b3o7b2o170b2o7bobo$641b2o98b2o8b2o170b2o6bo3bo97b2o$641b2o98bo185bo
4bobo16b2o80b2o$927bobo3bo18b2o$927b2o22bo3$660bo92bo$659b2o90bobo$
659bobo90b2o$753bo$753b2o166b2o$753b2o166b2o87bo$950bo59b2o$948b2o59bo
bo$949b2o$806bo$805bo$730bo73bo2bo$633b2o96b2o16b2o174b2o114b2o$633b2o
95b2o17b2o174b2o114b2o$805bo5b2o52bobo$811b3o49b2obob2o$808bo3b2o52bo
3bo$806b2o5b2o51bo3bo$807bo4b2o46bo6bo2bo$778b2o29b2o7bo40b2o5bo2bo$
777b2o27b2o10bo39bo2bo3b3o$779bo38bo40b2o3bo4bo$860bo3bo3b2o$865b2obo$
891b2o$641b2o98b2o149b2o39b2o98b2o$641b2o98b2o148bo41b2o98b2o$805b2o
62b2o$805b2o62b2o$720bo$719b2o$719bobo3$950bo$809b2o54b2o83b2o$809b2o
54b2o82bobo7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o4$817b2o
38b2o$817b2o38b2o7$641b2o390b2o$641b2o390b2o$780bo$779b2o$779bobo197bo
$977bobo$978b2o$890bo$832bo57b2o$691bo138b2o57bobo$691bobo115b2o20b2o
32b2o$691b2o116b2o54b2o2$848bo$849b2o$848b2o3$633b2o114b2o174b2o114b2o
$633b2o114b2o174b2o114b2o4$817b2o38b2o$817b2o38b2o7$641b2o197bo192b2o$
641b2o196b2o192b2o$839bobo3$830bo$830b2o$829bobo3$809b2o54b2o$809b2o
54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o10$900bo$899b
2o$641b2o256bobo131b2o$641b2o390b2o2$770bo$770b2o$769bobo5$809b2o54b2o
$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o114b2o174b2o114b2o4$1032b
2o$1031bo$1032b2o2$960bo$959b2o$959bobo2$1038bo$710bo326b3o$710b2o324b
o2bo$709bobo323b3o2b2o$1036bo2b3o$1037b2o2b2o$641bo398b3o$638b6o393b4o
bo$638b2o2b2o393b2o2b2o$1040b2o$639bo169b2o54b2o$639bo2b2o165b2o54b2o$
638bo3b2o389bo$639bo392bo$639bobo390b3o$640bo3$749b2o174b2o$749b2o174b
2o2$631b2o$630bo10b2o390b2o$630b3o8b2o390b2o$630bo$629bo2bo387bo$1019b
2o$630bobo386bobo3$650bo$650b2o$649bobo8$633b2o406b2o$633b2o174b2o54b
2o174b2o$809b2o54b2o7$749b2o174b2o$749b2o174b2o3$641b2o390b2o$641b2o
390b2o45bo$1079b2o$1079bobo3$590bo$590b2o$589bobo10$633b2o406b2o$633b
2o174b2o54b2o174b2o$809b2o54b2o7$749b2o174b2o$749b2o174b2o$1047b2o$
1046bobo$641b2o390b2o13bo$641b2o390b2o2$632b2o$632bobo$632bo9$697bo$
698bo$696b3o2$633b2o406b2o$633b2o174b2o54b2o106bo67b2o$809b2o54b2o105b
o$972b3o6$749b2o175b3o58b2o$749b2o173b5o57bobo$930b3o55bo$923bo7b2o$
641b2o280bo3b2o3bo100b2o$641b2o49b2o56b3o171bo2b2obob2o99b2o$692bobo
55b3o2bo169b6o$692bo57bob3obo169bo3bo2bo$743b3o8bobo175bo10bo$738b2o5b
o11bo178bo4bo2bo$732b2o3b4obo14b2o176bo6bobo$731b2o4bob2o4bo10bo2bo
157b2o23b2o$731b2o12bo10bo2bo156bo2bo15b3o$732b3o10bo10bo3bo150b3ob2ob
3o$733b3o3bo2bo2bo10bo2bo151b2o3bo2b3o$737b2o4b2o10b2obo154b2obob2o2bo
$755b2o10bo147b12o$765bobo151bo5bo$766b2o152b2o$921bo2bo$922bo$903bo$
633b2o114b2o152bobo19b2o114b2o$633b2o114b2o58b2o54b2o36b2o20b2o114b2o$
809b2o54b2o5$927b2o$926bobo$928bo3$752b2o107b3o$641b2o98b2o9bobo105bo
3bo68b2o98b2o$641b2o98b2o9bo107bo2b2o68b2o98b2o$860b2o2$862b2o$861bo2b
o$725bobo135b2o$725b2o86b2o$726bo85bobo$812bo$812bobo50b2o$815bo49b2o
86bobo$813bobo138b2o$815bo138bo$816bo$855bo$855bobo$855b2o$633b2o114b
2o174b2o114b2o$633b2o114b2o174b2o114b2o4$817b2o38b2o$817b2o38b2o7$641b
2o390b2o$641b2o390b2o9$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b
2o$633b2o114b2o174b2o114b2o4$817b2o38b2o$817b2o38b2o7$641b2o390b2o$
641b2o390b2o9$809b2o54b2o$809b2o54b2o7$633b2o114b2o174b2o114b2o$633b2o
114b2o174b2o114b2o12$641b2o390b2o$641b2o390b2o3$665bobo$665b2o$666bo3$
1013bobo$809b2o54b2o147b2o$809b2o54b2o147bo7$633b2o114b2o174b2o114b2o$
633b2o114b2o174b2o114b2o12$641b2o390b2o$641b2o390b2o9$809b2o54b2o$809b
2o54b2o!
... since it turns out that an R2L16 produces a glider on the correct lane to re-kickback a kicked-back Lane 0 glider.

Unfortunately this rake works out to be an R4L9F, so this is spectacularly non-useful (because a rephaser plus a regular forerake is an R2L9F, much simpler and less than half as expensive). The R2L16 is firing on lane (16 + 2*9) mod 31 = 3, and the kickback bumps it up +6 lanes, which is very close to the lane we need least.

If anyone wants to do the math, there might be some combination that does a -6 kickback on some rake or other. (?)

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Nathaniel
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Re: 31c/240 caterpillar working notes

Post by Nathaniel » June 17th, 2020, 7:28 pm

dvgrn wrote:
June 17th, 2020, 7:02 pm
Unfortunately this rake works out to be an R4L9F, so this is spectacularly non-useful (because a rephaser plus a regular forerake is an R2L9F, much simpler and less than half as expensive). The R2L16 is firing on lane (16 + 2*9) mod 31 = 3, and the kickback bumps it up +6 lanes, which is very close to the lane we need least.
I still suck at implementing kickbacks -- can this idea be applied to any rake? For example, can we modify R1L0 as you did (adjusting the timing/spacing of the kickback diamond as necessary) to get something that does this:

Code: Select all

x = 1155, y = 1000, rule = B3/S23
1154bo$1152b2o$1153b2o3$o$b2o$2o544b2o54b2o$546b2o54b2o7$370b2o114b2o
174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b
2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b
2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o13$1094bo$1092b2o
$1093b2o3$60bo$61b2o$60b2o2$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o11$1034bo$1032b2o$
1033b2o3$120bo$121b2o$120b2o4$546b2o54b2o$546b2o54b2o7$370b2o114b2o
174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b
2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b
2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o9$974bo$972b2o$
973b2o3$180bo$181b2o$180b2o6$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$3b2o541b2o54b2o$3bobo540b2o54b2o$
3bo3$1140b2o$1139bobo$1141bo$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o20$63b2o$63bobo$63bo482b2o54b2o$546b2o54b2o2$1080b2o$1079bobo$
1081bo3$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o7$914bo$912b
2o$913b2o3$240bo$241b2o$240b2o4$123b2o$123bobo$123bo2$546b2o54b2o$546b
2o54b2o416b2o$1019bobo$1021bo5$370b2o114b2o174b2o114b2o$370b2o114b2o
174b2o114b2o16$183b2o$183bobo$183bo3$960b2o$546b2o54b2o355bobo$546b2o
54b2o357bo7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o14$243b2o
$243bobo$243bo3$900b2o$899bobo$901bo$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o5$854bo$852b2o$853b2o3$300b
o$301b2o$300b2o3$301bo$300b2o$300bobo3$843bo$843b2o$546b2o54b2o238bobo
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o13$361b
o$360b2o$360bobo3$783bo$783b2o$782bobo2$546b2o54b2o$546b2o54b2o7$370b
2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o11$421bo$420b2o$420bobo3$
723bo$723b2o$722bobo4$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b
2o$370b2o114b2o174b2o114b2o9$481bo$480b2o$480bobo3$663bo$663b2o$662bob
o6$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o7$541bo$540b2o$540bobo3$603bo$603b2o$602bobo8$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o5$601bo$600b
2o$600bobo3$543bo$543b2o$542bobo10$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o3$661bo$660b2o$660bobo3$483bo$
483b2o$482bobo12$546b2o54b2o$546b2o54b2o4$366b2o3$486b2o174b2o$372bobo
111b2o174b2o$721bo53b2o$368bo3bo347b2o52bob2o$367b3o5bo344bobo51bobo$
367b3o3b3o397b3o4b2o$367b3o403b3o3b2obo$378b3o42bo348bobobob5o$423b2o
347bobob3o$422bobo346b2o$772b3o$773b2o$774bo2$366b2o414b2o$366b2o414b
2o7$370b2o406b2o$370b2o174b2o54b2o174b2o$546b2o54b2o7$486b2o174b2o117b
o$337bobo146b2o174b2o116b2o$337b2o441bobo$338bo$378b2o390b2o$363bo14b
2o390b2o$363b2o450bobo$362bobo451b2o$816bo14$370b2o406b2o$370b2o174b2o
54b2o174b2o$546b2o54b2o$410bo$411bo$409b3o$820b2o$819bobo$734bo86bo$
486b2o174b2o69bo$486b2o174b2o69b3o$333b2o$333bobo$333bo44b2o390b2o$
378b2o390b2o17$370b2o406b2o$370b2o174b2o54b2o174b2o$546b2o54b2o2$760b
2o$759bobo$761bo3$393b2o91b2o174b2o$393bobo90b2o174b2o$393bo2$378b2o
390b2o$378b2o390b2o14$666b2o$666b2o$665bo$370b2o293b3o110b2o$370b2o
174b2o54b2o62bobo109b2o$478b3o65b2o54b2o62b2o32b2o$477bo3bo186bo30bobo
$668bo32bo$482bo187bo$477b5o$453b2o23bo$453bobo$453bo3$488b2o$378b2o
98b2o8b2o180b2o98b2o$378b2o98b2o190b2o98b2o5$489bo$488bobo$487b2o$488b
ob2o$488bo2bo$489b2o7$370b2o114b2o152b2o20b2o114b2o$370b2o98bo15b2o
151bobo20b2o114b2o$471bo126b2o41bo$469b3o126b2ob3o$599b6o$513b2o36b2o
50b3o$513bobo34bo2b2o41bo77bo$513bo30bo5b2obo41b3o75bo$544bo6bo3b2o37b
o2bo75b3o$544bo49b3o$595bo3$378b2o98b2o190b2o98b2o$378b2o98b2o190b2o
98b2o$542b2o62b2o$542b2o62b2o7$546b2o54b2o$546b2o54b2o7$370b2o114b2o
174b2o114b2o$370b2o114b2o174b2o114b2o4$554b2o38b2o$554b2o38b2o7$378b2o
390b2o$378b2o390b2o9$546b2o54b2o$426bobo117b2o54b2o$426b2o$427bo2$588b
o$586bobo137bobo$587b2o138b2o$370b2o114b2o174b2o63bo50b2o$370b2o114b2o
174b2o114b2o$556bo$558bo$554bo2bo$594b2o$554b2o38b2o7$378b2o390b2o$
378b2o390b2o9$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o12$378b2o390b2o$378b2o390b2o9$546b2o54b2o$546b2o54b
2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$
546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
!
If so, that would give us R3L24 (L24 because it'd have two rephasers in front of it, so it's firing on lane 2*9 + 6 = 24), which would be a big improvement over our current best L24 (which is 3R + R3L28).

Edit: Unless I've missed something, the only other improvements possible with this method would be:

-6 kickback to R1L0 gives R3L12 (better than current 2R + R2L25)
-6 kickback to R2L23 gives R4L4 (better than current 2R + R6L17)
-6 kickback to R4L8 gives R6L20 (better than current 6R + R3L28)

So those are the cases worth trying to construct. Those would improve a *lot* of lanes, if they are possible.

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dvgrn
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Re: 31c/240 caterpillar working notes

Post by dvgrn » June 17th, 2020, 9:12 pm

Nathaniel wrote:
June 17th, 2020, 7:28 pm
I still suck at implementing kickbacks -- can this idea be applied to any rake? For example, can we modify R1L0 as you did (adjusting the timing/spacing of the kickback diamond as necessary) ...
Well... the problem is that normal 90-degree kickbacks only change the lane by 1, downward, so to get that 180-degree kickback stream, we'll have to send a glider forward on exactly the right lane, and then kick it back. Relative to the R1L0 that we're trying to modify, that forward stream would have to be on Lane 6.

BUT... if there's an L6 rake in front of the R1L0, then the effective lane of that forward stream relative to the R1L0 changes depending on what the R-rating of that leading rake is. So I _think_ -- but I might have the math wrong -- that if we had an

R1L15, or
R2L24, or
R3L2, or
R4L11, or
R5L20, or
R6L29, or
R7L7, or
R8L16 ...

then we could make an R{something}L6F.

Okay, well, we can certainly do an R2L16 plus six rephasers, so there's a chance to check whether my crackpot theoretical math is right.

Code: Select all

x = 3925, y = 8055, rule = B3/S23
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1876b2o174b2o114b2o$1759b2obo
113b2o174b2o114b2o$1759bo2bo4b2o$1762bo4bo$1762bob3o402bo4bo$1758b3ob
2o2bo401bobo3b3o$1758b3obo3bo396b3o2bobo2bob2o$1763b2o397b2obo3b2o3bo
2bo$2161bo3bo10bo$2151bo5bo3bob2o$2151bo3b2ob3o3bo13b2o$1775b5o371bo6b
2o2b4o11bo2bo$1776b3o381bo4bo10b2ob2o$1755b2o20bo382b6o9b3o2bo$1747bo
6bo2bo402bo3b2o7bobo2b2o$1748b2o4b2obo402bo2bo8b2obo$1748b5o3bo404b3o
9bobo$1749bo2bo421b2o11bo$1750b4obo432bo$1754bo431b3o$1755bo2$1737bo
22b2o406b2o$1736bo23b2o174b2o54b2o174b2o$1736b3o197b2o54b2o7$1876b2o
174b2o$1876b2o174b2o3$1768b2o390b2o$1768b2o390b2o6$2144bo$2142b2o$
2143b2o3$1790bo$1791b2o$1790b2o4$1760b2o406b2o$1760b2o174b2o54b2o174b
2o$1936b2o54b2o5$1871bo$1871bo$1870bo184bo$1869b2o183bobo$1868bo3bo
183bo$1873bo4b2o171b4obo$1768b2o98bo4bo4b2o171b2o107b2o$1768b2o99b4o
177bo109b2o$1871bo186b2o$2059b2o$2053bo6b2o2$2055bo$2057bo$2057bo$
1867b3o$1867b2o11b2o166b2o$1869bo10b2o166b2o7$1760b2o114b2o174b2o114b
2o$1760b2o114b2o58b3o53b2o58b2o114b2o$1934b2o2bo3b2o48b2o$1937b2obo3bo
$1933bo2bob4obo50b3o$1933b2ob3o4bo44b2o3b6o$1933b2obobobobo44b3ob2obob
o2bo$1934bobobo3bo42b2o3bobo2bobobo$1935bo3b2o43bo2b3ob2ob2o2bo$1953bo
32b2o2bo3b2o$1953bo21bo3b3o7b2o11bo$1952b3o20bo4bo8b2o8bo3bo$1975bo5bo
8bo7bo$1768b2o98b2o111bo6bob2o9b2obo55b2o98b2o$1768b2o98b2o82b3o28b2o
4bo7bob3ob2o55b2o98b2o$1932b2o19bo32bo8b3o6bo$1927bob2o2bo19bo30b3o8bo
2bob2obo9bobo$1926bob3obo52bo9bo3b2obo10b2o$1929bo55bo10bo3bo13bo$
1925bo6bo53bo10bobo12bo$1927bobo2bo80bo$1929bo81b3o$1929b2o$1936b2o54b
2o$1936b2o54b2o253bo$2248bo$2246b3o3$1677bo$1676bo$1676b3o81b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o4$1944b2o38b2o$1944b2o38b2o3$
2098bo$2099bo$2097b3o2$1768b2o98b2o97bo92b2o98b2o$1768b2o56bo41b2o95b
2o93b2o98b2o$1825bo140b2o$1825b3o2$1967bo116bo$1968b2o112b2o$1967b2o
114b2o3$1850bo85b2o54b2o$1851b2o83b2o54b2o$1850b2o6$1760b2o114b2o174b
2o114b2o$1760b2o114b2o174b2o114b2o4$1944b2o38b2o$1944b2o38b2o7$1768b2o
98b2o190b2o98b2o$1768b2o98b2o190b2o98b2o9$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o12$1768b2o390b2o$
1768b2o390b2o8$2307bo$1936b2o54b2o314bo$1936b2o54b2o312b3o3$1617bo$
1616bo$1616b3o2$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o6$
2158bo$1769bo389bo$1768b3o386b3o$1767bo2b2o$1766b3o2b2o$1767bo3b3o$
2160b2o$1769bo390b2o9$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o19$2367bo$2368bo$2366b3o$
1936b2o54b2o$1936b2o54b2o$1557bo$1556bo$1556b3o4$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o17$2427bo$2428b
o$2426b3o3$1497bo438b2o54b2o$1496bo439b2o54b2o$1496b3o6$1760b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o15$
2487bo$2488bo$2486b3o3$1437bo$1436bo$1436b3o497b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o13$2547bo$2548bo$2546b3o3$1377bo$1376bo$1376b3o2$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o11$2607bo$2608bo$2606b3o3$1317bo$1316bo$1316b3o4$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o9$2667bo$2668bo$2666b3o3$1257bo$1256bo
$1256b3o6$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o7$2727bo$2728bo$2726b3o3$
1197bo$1196bo$1196b3o8$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o5$2787bo$2788bo
$2786b3o3$1137bo$1136bo$1136b3o10$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o3$
2847bo$2848bo$2846b3o3$1077bo$1076bo$1076b3o12$1936b2o54b2o$1936b2o54b
2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o
$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o$2907bo$2908bo$2906b3o3$1017bo$1016bo$1016b3o14$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o797bo$
1760b2o114b2o174b2o114b2o798bo$2966b3o3$957bo$956bo$956b3o16$1936b2o
54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b
2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b
2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o5$3027bo$3028bo$1760b2o114b
2o174b2o114b2o856b3o$1760b2o114b2o174b2o114b2o2$897bo$896bo$896b3o18$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o3$3087bo$3088bo$3086b
3o2$1760b2o114b2o174b2o114b2o$837bo922b2o114b2o174b2o114b2o$836bo$836b
3o20$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b
2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$
1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o$3147bo$3148bo$
3146b3o3$777bo$776bo983b2o114b2o174b2o114b2o$776b3o981b2o114b2o174b2o
114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o1213bo$1936b2o54b2o
1214bo$3206b3o3$717bo$716bo$716b3o$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o20$3267bo$3268bo$1936b2o
54b2o1272b3o$1936b2o54b2o2$657bo$656bo$656b3o3$1760b2o114b2o174b2o114b
2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b
2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o18$3327bo$3328bo$
3326b3o2$1936b2o54b2o$597bo1338b2o54b2o$596bo$596b3o5$1760b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o16$
3387bo$3388bo$3386b3o3$537bo$536bo1399b2o54b2o$536b3o1397b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o14$3447bo$3448bo$3446b3o3$477bo$476bo$476b3o$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o12$3507bo$3508bo$3506b3o3$417bo$416bo$416b3o3$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o10$3567bo$3568bo$3566b3o3$357bo$356bo$
356b3o5$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o8$3627bo$3628bo$3626b3o3$
297bo$296bo$296b3o7$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b
2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b
2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o6$3687bo$3688bo$
3686b3o3$237bo$236bo$236b3o9$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o4$
3747bo$3748bo$3746b3o3$177bo$176bo$176b3o11$1936b2o54b2o$1936b2o54b2o
7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o2$3807bo$3808bo$3806b3o3$117bo$116bo$116b3o13$1936b2o54b2o$
1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o22$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o22$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o1697bo$3868bo$3866b3o3$57bo$56bo$56b3o6$61b2o$60b
2o$62bo3$3862b2o$3863b2o$3862bo2$1936b2o54b2o$1936b2o54b2o7$1760b2o
114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o11$121b2o$120b2o$122bo3$
3802b2o$3803b2o$3802bo4$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o9$181b2o$180b2o$182bo3$3742b2o$3743b2o
$3742bo6$1936b2o54b2o$1936b2o54b2o5$3823bo$3821b2o$1760b2o114b2o174b2o
114b2o1652b2o$1760b2o114b2o174b2o114b2o2$111bo$112b2o$111b2o3$241b2o$
240b2o$242bo3$3682b2o$3683b2o$3682bo8$1936b2o54b2o$1936b2o54b2o7$1760b
2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o5$301b2o$300b2o$302bo3$
3622b2o$3623b2o$3622bo10$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b
2o114b2o$1760b2o114b2o174b2o114b2o3$361b2o$360b2o$362bo3$3562b2o$3563b
2o$3562bo12$1936b2o54b2o$1936b2o54b2o3$3763bo$3761b2o$3762b2o2$1760b2o
114b2o174b2o114b2o$171bo1588b2o114b2o174b2o114b2o$172b2o247b2o$171b2o
247b2o$422bo3$3502b2o$3503b2o$3502bo14$1936b2o54b2o$1936b2o54b2o7$481b
2o1277b2o114b2o174b2o114b2o$480b2o1278b2o114b2o174b2o114b2o$482bo3$
3442b2o$3443b2o$3442bo16$1936b2o54b2o$1936b2o54b2o5$541b2o$540b2o$542b
o1217b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o2$3382b2o$3383b2o$
3382bo18$1936b2o54b2o$1936b2o54b2o$3703bo$3701b2o$601b2o3099b2o$600b2o
$602bo$231bo$232b2o1526b2o114b2o174b2o114b2o$231b2o1527b2o114b2o174b2o
114b2o1152b2o$3323b2o$3322bo20$1936b2o54b2o$1936b2o54b2o$661b2o$660b2o
$662bo3$3262b2o$1760b2o114b2o174b2o114b2o1093b2o$1760b2o114b2o174b2o
114b2o1092bo22$721b2o1213b2o54b2o$720b2o1214b2o54b2o$722bo3$3202b2o$
3203b2o$3202bo$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o20$
781b2o$780b2o$782bo1153b2o54b2o1649bo$1936b2o54b2o1647b2o$3642b2o$
3142b2o$3143b2o$291bo2850bo$292b2o$291b2o$1760b2o114b2o174b2o114b2o$
1760b2o114b2o174b2o114b2o18$841b2o$840b2o$842bo2$1936b2o54b2o$1936b2o
54b2o1088b2o$3083b2o$3082bo5$1760b2o114b2o174b2o114b2o$1760b2o114b2o
174b2o114b2o16$901b2o$900b2o$902bo3$3022b2o$1936b2o54b2o1029b2o$1936b
2o54b2o1028bo7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o14$
961b2o$960b2o$962bo3$2962b2o$2963b2o618bo$2962bo618b2o$1936b2o54b2o
1588b2o$1936b2o54b2o2$351bo$352b2o$351b2o3$1760b2o114b2o174b2o114b2o$
1760b2o114b2o174b2o114b2o12$1021b2o$1020b2o$1022bo3$2902b2o$2903b2o$
2902bo3$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o114b2o10$1081b2o$1080b2o$1082bo3$2842b2o$2843b2o$2842bo5$
1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b
2o114b2o8$1141b2o$1140b2o$1142bo3$2782b2o$2783b2o$2782bo3$3523bo$3521b
2o$3522b2o2$1936b2o54b2o$411bo1524b2o54b2o$412b2o$411b2o5$1760b2o114b
2o174b2o114b2o$1760b2o114b2o174b2o114b2o6$1201b2o$1200b2o$1202bo3$
2722b2o$2723b2o$2722bo9$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o4$1261b2o$1260b2o$1262bo3$2662b2o$
2663b2o$2662bo11$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$
1760b2o114b2o174b2o114b2o2$1321b2o$1320b2o$1322bo3$2602b2o$2603b2o$
2602bo7$3463bo$3461b2o$3462b2o3$471bo$472b2o1462b2o54b2o$471b2o1463b2o
54b2o7$1760b2o114b2o174b2o114b2o$1381b2o377b2o114b2o174b2o114b2o$1380b
2o$1382bo3$2542b2o$2543b2o$2542bo15$1936b2o54b2o$1936b2o54b2o6$1441b2o
$1440b2o318b2o114b2o174b2o114b2o$1442bo317b2o114b2o174b2o114b2o3$2482b
2o$2483b2o$2482bo17$1936b2o54b2o$1936b2o54b2o4$1501b2o$1500b2o$1502bo$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o$2422b2o$2423b2o$
2422bo11$3403bo$3401b2o$3402b2o3$531bo$532b2o$531b2o$1936b2o54b2o$
1936b2o54b2o2$1561b2o$1560b2o$1562bo3$1760b2o114b2o174b2o114b2o192b2o$
1760b2o114b2o174b2o114b2o193b2o$2362bo4$1764bo$1759b3o2bo404bo$1759bob
o2bo403b2o$1751b5o3bo3bo402b3o$1755b2o3b5o11bo391bo6b2o$1751b4o6b2obob
ob4o4bo389b2o6b4o$1752bo11b2ob2ob2o3bobo373bobo19bo4bo$1746bo6b2o12bo
3bo3bo375bo2bo6b2o3bo5b3ob2o$1745bo7b2o11b3o6b3o373bo2bo6b2o2bobo4bo2b
2o$1745b3o24b2o2b2o374b2o11bobob3o3bo$1770b3o4b2o387bobo3bobo$1770b2ob
o3b2o394bo$1774b3ob2o$1775b4o$1776b2o2$1760b2o406b2o$1760b2o174b2o54b
2o174b2o$1621b2o313b2o54b2o$1620b2o$1622bo3$2302b2o$2303b2o$1876b2o
174b2o248bo$1876b2o174b2o$2153bo$2151b2o$1768b2o382b2o6b2o$1768b2o390b
2o2$1781bo$1782b2o$1781b2o13$1681b2o77b2o406b2o$1680b2o78b2o174b2o54b
2o174b2o$1682bo253b2o54b2o3$2242b2o$2243b2o$2242bo2$1876b2o174b2o$
1876b2o174b2o3$1768b2o390b2o$1768b2o390b2o8$3343bo$3341b2o$3342b2o3$
591bo$592b2o$591b2o1148b2o$1740b2o$1742bo17b2o406b2o$1760b2o174b2o54b
2o174b2o$1936b2o54b2o$2182b2o$2183b2o$2182bo4$1876b2o174b2o$1876b2o
174b2o3$1768b2o390b2o$1768b2o390b2o$2241b2o12$1801b2o$1800b2o$1802bo2$
1760b2o406b2o$1760b2o174b2o54b2o128b2o44b2o$1936b2o54b2o129b2o$2122bo
3$1743bo$1742b2o306b3o$1742bobo305b4o$2049bo4bo38bo$2050b3o2bo35b2o$
2049bo2bo2bo36b2o87bo$1870bobo176b2o2b3o125b2o$1768b2o100bo178bo2b3o
105b2o18bobo$1768b2o71bo28bo3bo175b4o106b2o$1842b2o30bo4bo$1841b2o28bo
2bo4bo180b3o$1871b3o5bo6$1880b2o166b2o$1880b2o166b2o$1861b2o$1860b2o$
1862bo3$2062b2o$1760b2o114b2o174b2o9b2o103b2o$1760b2o114b2o58b2o54b2o
58b2o8bo105b2o$1936b2o54b2o2$1803bo$1802b2o$1802bobo$1934b3o86bo$1927b
o2b2o2bo2bo83b2o$1927bo2bob4o6bo79b2o97bo$1933bo8b2o9bo36bob2o6b2o119b
2o$1928bo4bo8bobo2b3o3bo35b2o2bo5bo3bo116bobo$1911bo16b2o13bo2bo7bo24b
o7bo5bo4bo5bo$1768b2o98b2o42b2o27b2o2bo2bo4b2o24b2o8b3o7bo4bo55b2o98b
2o$1768b2o98b2o41b2o14b2o14bo5b5o26b2o3bo3b2o10bo2bo55b2o98b2o$1928b2o
12b2o5bo30bo4bobo13bobo$1920bo9bobo8bo7bobo23b3obo9bo12bo$1919bo10b2o
17bobo23b3o11bo$1919b3o67bo3b2o2$3283bo$3281b2o$3282b2o$1936b2o54b2o$
1936b2o54b2o$651bo$652b2o$651b2o4$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o36bo77b2o$1863bo224bobo$1862b2o225b2o$1862bobo$1944b2o29bo
8b2o$1834bo109b2o27b2o9b2o$1834bobo137b2o85bo$1834b2o225b2o$2060bobo$
1959bo$1960b2o$1959b2o$1768b2o390b2o$1768b2o390b2o9$1936b2o54b2o$1936b
2o54b2o7$1760b2o114b2o45bo128b2o114b2o$1760b2o114b2o44b2o128b2o114b2o$
1922bobo3$1944b2o38b2o15bo$1944b2o38b2o15b2o$2000bobo6$1768b2o390b2o$
1768b2o390b2o9$1936b2o54b2o$1936b2o54b2o5$1983bo$1982b2o$1760b2o114b2o
104bobo67b2o114b2o$1760b2o114b2o174b2o114b2o2$1941bo$1941b2o$1940bobo
8$1768b2o390b2o$1768b2o390b2o4$3223bo$3221b2o$3222b2o3$711bo1224b2o54b
2o$712b2o1222b2o54b2o$711b2o2$2043bo$2042b2o$2042bobo$2150bo$1760b2o
114b2o174b2o94bobo17b2o$1760b2o114b2o3bo170b2o95b2o17b2o$1881b2o$1880b
obo$1774bo$1774bobo$1774b2o7$1768b2o390b2o$1768b2o390b2o9$1936b2o54b2o
$1936b2o54b2o$2103bo$2102b2o$2102bobo3$1821bo$1821b2o53b2o174b2o108b3o
$1820bobo53b2o174b2o$1766bo$1758b2o4bob2o393bo8b2o$1758b2o4b6o389b2ob
2o2bo3b2o$1767bo2bo390bo5bo$1768bobo394b3o$1765bo$1765b3obobo$1765bo5b
o$1767b3o$1767b3o3$1756b2o414b2o$1756b2o414b2o7$1760b2o406b2o$1760b2o
174b2o54b2o169bo4b2o$1936b2o54b2o168b2o$2162bobo3$1761bo$1761b2o$1760b
obo$1876b2o174b2o$1876b2o174b2o3$1768b2o390b2o$1768b2o390b2o4$1719bobo
$1719b2o$1720bo3$2213bobo$2214b2o$2214bo948bo$3161b2o$3162b2o2$2218b2o
$771bo1445bobo$772b2o986b2o406b2o49bo$771b2o987b2o174b2o54b2o174b2o$
1936b2o54b2o$1715b2o$1715bobo$1715bo4$1876b2o174b2o$1876b2o174b2o$
1808bo$1809bo$1768b2o37b3o350b2o$1768b2o390b2o2$2116bo$2115bo$2115b3o
9$2158b2o$2157bobo$2159bo2$1760b2o406b2o$1760b2o13b2o159b2o54b2o174b2o
$1775bobo158b2o54b2o$1775bo6$1876b2o174b2o$1876b2o174b2o3$1768b2o390b
2o$1768b2o390b2o3$2054bo$2053b4o$2051bo5bo$2050bo3bo6b2o$2050bo5b2o2bo
2bo$2050b2obobo4bo2b2o$2052b2o5bo2b2o$1872b3o184b4o$1872bo2bo222b2o$
1871bo3bo221bobo$1876bo222bo$1872b3ob2o$1876bo$1835b2o34bo3b2o$1760b2o
73bobo37bo176b2o114b2o$1760b2o73bo100b2o54b2o58b2o114b2o$1936b2o54b2o$
1868bobo$1868b2o$1869bo3$2064bobo$2065b2o$2065bo3$1768b2o98b2o190b2o
98b2o$1768b2o98b2o190b2o98b2o9$2038b2o1063bo$2037bobo1061b2o$2039bo
1062b2o3$831bo1063b2o$832b2o1061bobo$831b2o1062bo$1760b2o114b2o174b2o
114b2o$1760b2o114b2o64b2o108b2o114b2o$1942b2o41b2o$1944bo38bo2bo$1934b
2o5b2obo40bo8b2o$1934b2o3b2o3bo37bo2bo8b2o65b2o$1982b2o2bo73bo2bo$
1945bo46bo$1944bobo37b3o3bobo68bobo$1868bo71bo50b2o$1867bobo70bo$1868b
2o72bobo$1868bo$1768b2o98bo74bobo214b2o$1768b2o98bo75bo215b2o$1932b2o
10bo51b2o$1932b2o62b2o7$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o114b2o174b2o114b2o4$1944b2o38b2o$1944b2o38b2o7$1768b2o
390b2o$1768b2o390b2o9$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o
114b2o$1760b2o46bobo65b2o174b2o114b2o$1808b2o$1809bo3$2124bobo$2125b2o
$2125bo5$1768b2o390b2o$1768b2o390b2o7$3043bo$3041b2o$1936b2o54b2o1048b
2o$1936b2o54b2o2$891bo$892b2o$891b2o3$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o12$1768b2o390b2o$1768b2o390b2o9$1936b2o54b2o$1936b
2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o5$1758b3o$
1751bo2b2o2bo2bo$1751bo2bob4o6bo$1757bo8b2o9bo388bob2o6b2o$1752bo4bo8b
obo2b3o3bo387b2o2bo5bo3bo$1752b2o13bo2bo7bo376bo7bo5bo4bo5bo$1765b2o2b
o2bo4b2o376b2o8b3o7bo4bo$1751b2o14bo5b5o378b2o3bo3b2o10bo2bo$1752b2o
12b2o5bo382bo4bobo13bobo$1744bo9bobo8bo7bobo375b3obo9bo12bo$1743bo10b
2o17bobo375b3o11bo$1743b3o419bo3b2o5$1760b2o406b2o$1745bo14b2o174b2o
54b2o174b2o$1744b2o190b2o54b2o$1744bobo3$2179bo$2179b2o$2178bobo$1876b
2o174b2o$1876b2o174b2o3$1768b2o381bo8b2o$1768b2o379b2o9b2o$2150b2o3$
1783bo$1784b2o$1783b2o8$2983bo$2981b2o$1805bo1176b2o$1760b2o42b2o362b
2o$1760b2o42bobo129b2o54b2o174b2o$951bo984b2o54b2o$952b2o$951b2o1166bo
$1879bo239b2o$1878bobo237bobo$1874b5obo$1873bob2ob3o172bo$1876b2obob2o
171bo$1875bob3o$1875b2o176b2o$1872bo2b3obo2bo166b3ob2o$1768b2o103b3o2b
o170bo4bo105b2o$1768b2o106b2obo168b2o6b2o102b2o$1879bo169bob3ob2obo$
1867b3o7bobo168bo5bo3bo$1878bo169bo2bobo4bo$2049bo7bo$2051b3obo4$1880b
2o166b2o$1880b2o166b2o4$1865bo$1864b2o$1864bobo$1760b2o114b2o174b2o
114b2o$1760b2o114b2o58b2o54b2o58b2o114b2o$1936b2o54b2o65bo$2059b2o$
2025bobo30bobo$2025b2o$2026bo2$1939b2o52bo$1907bobo28b2o51b3o$1908b2o
19b3o3bo3bobo49bo2b2o$1908bo19bo3b2ob3o3bo6b3o$1928b2o3bo3b4o6b5o27b2o
3b3o8b5o$1768b2o98b2o53bo4bo3bo4bo8bob5o25bob2o2b3obobo2bobo3bo60b2o
98b2o$1768b2o98b2o53bobo3bobo6b3o4b2ob3o2b2o22b2o4bo5bob2o3bob2o60b2o
98b2o$1923b2o4bo16b3o2bob2o23b2o3b3o10b2o$1938bo8bo6b2o27b2o2b2o$1939b
o11bo2bo$1951b3o5$1936b2o54b2o$1936b2o54b2o4$2086bo$2087bo$2085b3o$
1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o$1838bo138bobo$
1837bo139b2o$1837b3o138bo$1944b2o38b2o$1944b2o38b2o$1955bobo$1956b2o$
1956bo2$2091bo$2089b2o$1768b2o98b2o190b2o28b2o68b2o$1768b2o98b2o190b2o
98b2o2$1843bo$1844b2o$1843b2o5$1936b2o54b2o$1936b2o54b2o2$2923bo$2921b
2o$2922b2o3$1011bo748b2o114b2o174b2o114b2o$1012b2o746b2o114b2o174b2o
114b2o$1011b2o3$1944b2o38b2o$1944b2o38b2o7$1768b2o98b2o190b2o98b2o$
1768b2o98b2o190b2o98b2o9$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b
2o114b2o$1760b2o114b2o174b2o114b2o12$1768b2o390b2o$1768b2o390b2o9$
1936b2o54b2o$1936b2o54b2o2$2146bo$2147bo$2145b3o3$1760b2o16bo97b2o174b
2o114b2o$1760b2o15bo98b2o174b2o114b2o$1777b3o11$1768b2o390b2o$1768b2o
390b2o9$1936b2o54b2o$1936b2o54b2o869bo$2861b2o$2862b2o3$1071bo$1072b2o
$1071b2o803b2o174b2o108b2o$1767b2o107b2o174b2o108b2o$1767bo2bo390bo$
1758b2o8bo392bob2o5b2o$1758b2o8bo2bo389bo3b2o3b2o$1767bo2b2o$1761bo
398bo$1761bobo3b3o389bobo$1761b2o402bo$2165bo$2161bobo2$2160bobo$2161b
o$1756b2o403bo10b2o$1756b2o414b2o7$1760b2o11b3o392b2o$1760b2o11bo162b
2o54b2o174b2o$1774bo161b2o54b2o3$2149b3o$2151bo$2150bo2$1876b2o174b2o$
1876b2o174b2o3$1768b2o390b2o$1768b2o390b2o7$1873bo$1871b2ob2o$1871b2o$
1870bobo3bo2$1875bo$1872b3o$1872b2o$1833b3o41b2o177b3o$1833bo222bo$
1760b2o72bo41bobo177b3o109b2o$1760b2o114b2o58b2o54b2o174b2o$1936b2o54b
2o63bo$2057b3o29b3o$1868bo190b3o29bo$1866b2o191b2o29bo$1867b2o6$2049bo
$1768b2o98b2o179bo10b2o57bo40b2o$1768b2o98b2o190b2o57bobo38b2o$2048bob
o68b2o$2048bobo2$1815bo$1813bobo$1814b2o7$1893b3o$1893bo$1894bo$1942bo
$1760b2o114b2o64bo109b2o114b2o633bo$1760b2o114b2o65bo46bo38b3o20b2o
114b2o631b2o$1943b2o44bobo39bo770b2o$1941bo3bo43bo40bo$1934b2o4bo48bob
4o$1131bo802b2o4bo4bo47b2o$1132b2o807b4o50bo$1131b2o809bo43b2o$1985b2o
$1984b2o6bo2$1990bo$1988bo$1768b2o98b2o118bo71b2o98b2o$1768b2o98b2o74b
3o113b2o98b2o$1932b2o11b2o49b2o$1932b2o10bo51b2o7$1936b2o54b2o$1936b2o
54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o4$1944b2o38b
2o$1944b2o38b2o7$1768b2o98b2o190b2o98b2o$1768b2o98b2o190b2o98b2o9$
1936b2o54b2o$1936b2o54b2o4$2116bo$2117b2o$2116b2o$1760b2o114b2o174b2o
114b2o$1760b2o114b2o69bo104b2o114b2o$1808bo137bo$1806b2o138b3o$1807b2o
$1944b2o$1944b2o3$2062bo$2063b2o$2060b2ob2o$2060b2obo$1768b2o290bo2bo
96b2o$1768b2o291b2o97b2o9$1936b2o54b2o$1936b2o54b2o5$2743bo$2741b2o$
1760b2o114b2o174b2o114b2o572b2o$1760b2o114b2o174b2o114b2o2$1191bo$
1192b2o$1191b2o8$1768b2o390b2o$1768b2o390b2o6$2o$obo$o$1936b2o54b2o$
1936b2o54b2o$3923b2o$3922bobo$3924bo4$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o3$1759b2o$1755bo2bo2bo$1753b2ob4obo$1753bo2b2o2bo
3b3o398b2o$1753b2o9bo2bo398b2o$1765bob2o9bo385bobo3bo3b3o$1750b2o18bob
3o3bo376b3o6bo3b3ob2o3bo$1750b2o13b4obo7bo375b5o6b4o3bo3b2o$1750bo2bo
10bo3b2o383b5obo8bo4bo3bo4bo$1751bo2bo10bo2bo382b2o2b3ob2o4b3o6bobo3bo
bo$1750bo4bo9bo2bo382b2obo2b3o16bo4b2o$1751bo3b2o9b3o381b2o6bo8bo$
1754b2o395bo2bo11bo$1742bo11bo397b3o$60b2o1680bobo$60bobo1679b2o$60bo
2$1743b2o15b2o406b2o$1742b2o16b2o174b2o54b2o174b2o1693b2o$1744bo191b2o
54b2o1868bobo$3864bo2$2180b2o$2181b2o$2180bo2$1876b2o174b2o$1876b2o
174b2o3$1768b2o390b2o$1768b2o390b2o$2148bobo$2148b2o$2149bo3$1784bobo$
1785b2o$1785bo3$120b2o$120bobo$120bo2$1803b2o$1802b2o1999b2o$1760b2o
42bo363b2o1632bobo$1760b2o174b2o54b2o174b2o1634bo$1936b2o54b2o$2120b2o
$2121b2o$2120bo562bo$2681b2o$2682b2o$2052bo$2050b4o$1251bo797bo2bobo$
1252b2o625bo168b3o$1251b2o620bo5bo168bo4bo$1768b2o102bo5b3o165b3o3b2o
106b2o$1768b2o102bobo177b3o3bo101b2o$1872b2o4b3o172b2ob5o$1867b3o9bo
173b5ob3o$2048b2o3b2ob5o$2048b3o2bo4bo$2049b3o$2050b2o3$180b2o1698b2o
166b2o$180bobo1697b2o166b2o$180bo2$1863b2o$1862b2o1879b2o$1864bo1877bo
bo$3744bo$1760b2o114b2o174b2o114b2o$1760b2o114b2o58b2o54b2o58b2o6b2o
106b2o$1936b2o54b2o67b2o$2060bo2$2025bo$2023b2o$1940bo83b2o$1935b3o2bo
52bo$1935bobo2bo51b2o$1909bo17b5o3bo3bo50b3o$1910b2o19b2o3b5o11bo39bo
6b2o$1909b2o16b4o6b2obobob4o4bo37b2o6b4o$1768b2o98b2o58bo11b2ob2ob2o3b
obo21bobo19bo4bo57b2o98b2o$1768b2o98b2o52bo6b2o12bo3bo3bo23bo2bo6b2o3b
o5b3ob2o58b2o98b2o$1921bo7b2o11b3o6b3o21bo2bo6b2o2bobo4bo2b2o$1921b3o
24b2o2b2o22b2o11bobob3o3bo$1946b3o4b2o35bobo3bobo$1946b2obo3b2o42bo$
1950b3ob2o$1951b4o$240b2o1710b2o$240bobo$240bo1695b2o54b2o$1936b2o54b
2o2$3683b2o$3682bobo$3684bo2$2088bo$1760b2o114b2o174b2o32bobo79b2o$
1760b2o114b2o174b2o33b2o79b2o2$1977bo$1836bo138b2o$1836bobo105b2o30b2o
6b2o$1836b2o106b2o38b2o2$1957bo$1958b2o$1957b2o3$1768b2o98b2o190b2o26b
obo69b2o$1768b2o98b2o190b2o26b2o70b2o$2089bo3$1844bobo$300b2o1543b2o$
300bobo1542bo$300bo2$1936b2o54b2o$1936b2o54b2o1629b2o$3622bobo$3624bo
5$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o2$2623bo$2621b2o$
1944b2o38b2o636b2o$1944b2o38b2o2$1311bo$1312b2o$1311b2o3$1768b2o98b2o
190b2o98b2o$1768b2o98b2o190b2o98b2o3$360b2o$360bobo$360bo3$3563b2o$
1936b2o54b2o1568bobo$1936b2o54b2o1570bo7$1760b2o114b2o174b2o114b2o$
1760b2o114b2o174b2o114b2o12$1768b2o390b2o$1768b2o390b2o$420b2o$420bobo
$420bo3$3503b2o$3502bobo$3504bo$1936b2o54b2o$1936b2o54b2o4$2148bo$
2146bobo$2147b2o$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o$
1776bo$1776bobo$1776b2o9$480b2o1286b2o390b2o$480bobo1285b2o390b2o$480b
o3$3443b2o$3442bobo$3444bo3$1936b2o54b2o$1936b2o54b2o5$2163bo$2163bo$
1876b2o174b2o108bo$1767b3o106b2o174b2o107b2o400bo$1766bo2bo390bo3bo
396b2o$1758b2o9bo395bo4b2o390b2o$1758b2o400bo4bo4b2o$1765bo395b4o$
1371bo394bo2bo393bo$1372b2o386bo$1371b2o386bo$1759b3o2$540b2o$540bobo$
540bo1618b3o$1756b2o401b2o11b2o$1756b2o403bo10b2o$3383b2o$3382bobo$
3384bo2$1772b2o$1772bobo$1760b2o10bo395b2o$1760b2o174b2o54b2o174b2o$
1936b2o54b2o$2151b2o$2150bobo$2152bo4$1876b2o174b2o$1876b2o174b2o3$
1768b2o390b2o$1768b2o390b2o4$600b2o1271bo$600bobo1269bobo$600bo1274bo$
1870b3o2bo$1869b2o3b2o$1870b2ob2o1448b2o$1871b2ob2o1446bobo$1872bo2bo
1448bo$1872bo2bo$1832b2o40b2o$1832bobo220b3o$1832bo221bo2bo$2054bo2bo$
1760b2o114b2o177b4o109b2o$1760b2o114b2o58b2o54b2o63b2o32b2o75b2o$1936b
2o54b2o65bo30bobo$2058bo33bo$2058bo2$1865bobo$1865b2o$1866bo5$1768b2o
98b2o190b2o98b2o$1768b2o98b2o190b2o56bo41b2o$2117bo$660b2o1455b3o$660b
obo$660bo$1816bo$1817bo$1815b3o1445b2o$3262bobo$3264bo2$1892b2o$1892bo
bo$1892bo3$2031b2o$1760b2o114b2o152bobo19b2o114b2o$1760b2o114b2o63b3o
88bo19b2o114b2o$1989b2o$1989b3o$1934b2o8b2o40b2o2b2o2b2o$1934b2o3bo3b
3o39b3o6b2o$1939bobo2b2o38bo3bo$1939b2o43b3o$1983bo4bo514bo$1983b2ob2o
513b2o$1983bo3bo514b2o$1984b3o2$1431bo336b2o98b2o190b2o98b2o$720b2o
710b2o334b2o98b2o190b2o98b2o$720bobo708b2o499b2o62b2o$720bo1211b2o62b
2o3$3203b2o$3202bobo$3204bo2$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o4$1944b2o38b2o$1944b2o38b2o6$
780b2o$780bobo985b2o98b2o190b2o98b2o$780bo987b2o98b2o190b2o98b2o3$
3143b2o$3142bobo$3144bo4$1936b2o54b2o$1936b2o54b2o6$2117bobo$1760b2o
114b2o174b2o64b2o48b2o$1760b2o114b2o174b2o64bo49b2o3$1805bobo$1805b2o$
1806bo2$2061bo$2060b3o$840b2o1217bo2b2o$840bobo1215b3o2b2o$840bo1218bo
3b3o$1768b2o390b2o$1768b2o291bo98b2o$3083b2o$3082bobo$3084bo6$1936b2o
54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b
2o5$2443bo$2441b2o$900b2o1540b2o$900bobo$900bo$1491bo$1492b2o$1491b2o
275b2o390b2o861b2o$1768b2o390b2o860bobo$3024bo8$1936b2o54b2o$1936b2o
54b2o7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o2$1757b3o$
1755b6o3b2o$1754bo2bobob2ob3o$960b2o792bobobo2bobo3b2o396bo$960bobo
792bo2b2ob2ob3o2bo395bo2b3o$960bo797b2o3bo2b2o397bo2bobo$1751bo11b2o7b
3o3bo387bo3bo3b5o$1750bo3bo8b2o8bo4bo374bo11b5o3b2o$1755bo7bo8bo5bo
374bo4b4obobob2o6b4o784b2o$1749bob2o9b2obo6bo379bobo3b2ob2ob2o11bo784b
obo$1749b2ob3obo7bo4b2o383bo3bo3bo12b2o6bo780bo$1749bo6b3o8bo384b3o6b
3o11b2o7bo$1750bob2obo2bo8b3o382b2o2b2o24b3o$1751bob2o3bo9bo382b2o4b3o
$1753bo3bo10bo382b2o3bob2o$1741bo12bobo10bo382b2ob3o$1740b2obo407b4o$
1740b3o409b2o$1741bobo$1741b2o17b2o406b2o$1741b2o17b2o174b2o54b2o174b
2o$1936b2o54b2o$2182bo$2182b2o$2181bobo4$1876b2o174b2o$1876b2o174b2o3$
1020b2o746b2o390b2o$1020bobo745b2o390b2o$1020bo$2148bo$2146b2o$2147b2o
754b2o$2902bobo$2904bo$1786bo$1787b2o$1786b2o4$1802bo$1801b2o$1801bobo
2$1760b2o406b2o$1760b2o174b2o54b2o128bo45b2o$1936b2o54b2o128b2o$2121bo
bo5$2050b3o$2050bo2bo$2050b2ob2o$1080b2o972bo$1080bobo788bo175bo2b2ob
2o$1080bo687b2o99b4o175bob4o106b2o221bo$1768b2o103bo286b2o219b2o$1870b
o3bo4bo502b2o$1871bobo5bo180b3o780b2o$1872bo6bo962bobo$1551bo1292bo$
1552b2o$1551b2o3$1880b2o166b2o$1880b2o166b2o$1862bo$1861b2o$1861bobo3$
2062bo$1760b2o114b2o174b2o8b2o104b2o$1760b2o114b2o58b2o54b2o58b2o7bobo
104b2o$1936b2o54b2o5$1935b2o85bobo$1927b2o6bobo54bo29b2o$1140b2o785bo
2b2o3bobo53bo31bo$1140bobo787bob2ob2o4b2o50bo7bo$1140bo794b2obobob2o6b
4o36bo2bo6bobo$1910bobo12bo2b2obobo2bo5b2ob3ob2o3bo33b2ob2o6b2o2bo$
1768b2o98b2o41b2o13bo2b3o5bo4bo6bo3b2o23b2o8b2o9bo3bo56b2o98b2o$1768b
2o98b2o41bo15b3obo7bo2bo7b2o27b2o4b2o5b2o8b2o56b2o98b2o621b2o$1931bo8b
obo35b2o5b2o14b3o778bobo$1920bo8b3o9bo8b3o23b3o10bo794bo$1920bobo26b2o
25bo12bo4b2o$1920b2o54bo12bo3bo$1994b2o4$1936b2o54b2o$1936b2o54b2o7$
1760b2o114b2o174b2o35bo78b2o$1760b2o114b2o174b2o36bo77b2o$2088b3o3$
1835bo108b2o28bobo7b2o$1834bo109b2o28b2o8b2o$1200b2o632b3o138bo$1200bo
bo$1200bo$1958bobo$1959b2o$1959bo763b2o$1768b2o98b2o190b2o98b2o560bobo
$1768b2o98b2o190b2o26bo71b2o562bo$2086b2o$2087b2o3$1846bo$1847b2o$
1846b2o2$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o174b2o114b2o$1760b2o
114b2o174b2o114b2o4$1260b2o682b2o38b2o$1260bobo681b2o38b2o$1260bo3$
2663b2o$2323bo338bobo$2321b2o341bo$1768b2o98b2o190b2o98b2o160b2o$1768b
2o98b2o190b2o98b2o2$1611bo$1612b2o$1611b2o5$1936b2o54b2o$1936b2o54b2o
7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o2$1320b2o$1320bob
o$1320bo3$2603b2o$2602bobo$2604bo3$1768b2o390b2o$1768b2o390b2o9$1936b
2o54b2o$1936b2o54b2o5$2149bo$2150bo$1760b2o114b2o174b2o94b3o17b2o$
1380b2o378b2o114b2o174b2o114b2o$1380bobo$1380bo394bo$1774bo$1774b3o$
2543b2o$2542bobo$2544bo5$1768b2o390b2o$1768b2o390b2o9$1936b2o54b2o$
1936b2o54b2o5$1767b3o$1440b2o325bo2bo$1440bobo323bo3bo105b2o174b2o108b
3o$1440bo325bobob2o104b2o174b2o$1767b2ob2o$1758b2o8b3o389b2o8b2o$1758b
2o400b3o3bo3b2o311b2o$2160b2o2bobo315bobo$2165b2o317bo3$1758bo504bo$
1758bobo500b2o$1758b2o502b2o3$1671bo84b2o414b2o$1672b2o82b2o414b2o$
1671b2o3$1770b3o$1770bo$1771bo$1760b2o406b2o$1760b2o174b2o54b2o174b2o$
1936b2o54b2o158b3o$2154bo$2153bo2$1500b2o$1500bobo$1500bo$1876b2o174b
2o$1876b2o174b2o$2423b2o$2422bobo$1768b2o390b2o262bo$1768b2o390b2o4$
1875b2o$1873bobobo$1868bo3b4o2bo$1867b2o9bo$1866b2obo6bobo$1867bobo6b
2o$1868b2o$2055b3o$1830b3o222bo2bo$1830bo44b2o176bo4bo$1831bo221bob2ob
2o$2053bo2bob2o$2054b4o$1760b2o114b2o176b3o35b3o73b2o$1760b2o114b2o58b
2o54b2o100bo73b2o$1936b2o54b2o65bo33bo$2060b2o$1560b2o497b2o$1560bobo$
1560bo$1865bo$1863b2o$1864b2o497b2o$2362bobo$2364bo2$1768b2o98b2o190b
2o98b2o$1768b2o98b2o190b2o98b2o2$2116bo$2116bobo$2116b2o3$1818bo$1816b
obo$1817b2o$1890b3o$1890bo$1891bo3$2032b3o$2034bo$1760b2o114b2o155bo
18b2o114b2o$1760b2o114b2o65bo108b2o114b2o$1620b2o322bo41b3o$1620bobo
319bo2bo40bo$1620bo313b2o9b2o39b2obo4b2o$1934b2o10bo40bobo4b2o$1938bo
3bo3bo41b2o$1937bo5b3o39b2o316b2o$1937b3o43b2o3bo313bobo$1988b3o313bo$
1984b3o$1986bo$1984b3o$1768b2o98b2o114b3o73b2o98b2o$1768b2o98b2o115bo
74b2o98b2o$1932b2o62b2o$1932b2o62b2o205bo$2201b2o$2202b2o3$1731bo$
1732b2o$1731b2o203b2o54b2o$1936b2o54b2o7$1680b2o78b2o114b2o174b2o114b
2o$1680bobo77b2o114b2o174b2o114b2o$1680bo3$1944b2o38b2o257b2o$1944b2o
38b2o256bobo$2244bo6$1768b2o98b2o190b2o98b2o$1768b2o98b2o190b2o98b2o9$
1936b2o54b2o$1936b2o54b2o5$1740b2o$1740bobo$1740bo19b2o114b2o174b2o65b
o48b2o$1760b2o114b2o174b2o66b2o46b2o$2119b2o$2183b2o$2182bobo$1805bo
255bo122bo$1803b2o255bobo$1804b2o257bo$2058bo3bo$2057bo4bo$2056bo2$
2061bo$1768b2o288bo101b2o$1768b2o390b2o9$1936b2o54b2o$1936b2o54b2o6$
1798bo$1760b2o35b2o77b2o174b2o114b2o$1760b2o35bobo76b2o174b2o114b2o3$
2126bo$2126b2o$2125bobo7$1768b2o390b2o$1768b2o390b2o9$1936b2o54b2o$
1936b2o54b2o4$1858bo$1857b2o$1857bobo$1760b2o114b2o174b2o114b2o$1760b
2o114b2o174b2o114b2o$2066bo$2066b2o$2065bobo19$1936b2o54b2o$1936b2o54b
2o2$1918bo$1917b2o$1917bobo3$1760b2o114b2o128bo45b2o114b2o$1760b2o114b
2o128b2o44b2o114b2o$2005bobo21$1936b2o54b2o$1936b2o40bo13b2o$1977b2o$
1977bobo3$1946bo$1946b2o$1760b2o114b2o67bobo104b2o114b2o$1760b2o114b2o
174b2o114b2o21$2038bo$1936b2o54b2o43b2o$1936b2o54b2o43bobo3$1886bo$
1886b2o$1885bobo2$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o
19$2098bo$2097b2o$2097bobo$1936b2o54b2o$1936b2o54b2o$1826bo$1826b2o$
1825bobo$2160b3o$2160bo2bo$2159bo3bo$1765b3o108b2o174b2o106bo2b2o$
1876b2o174b2o108bo$2160b2o$1758b2o8bo390b3o8b2o$1758b2o3bo2b2ob2o388b
3o8b2o$1762bo5bo$1762b3o3$2171bo$2172bo$2170b3o3$1756b2o414b2o$1756b2o
414b2o3$2158bo$2157b2o$2157bobo2$1760b2o406b2o$1760b2o4bo169b2o54b2o
174b2o$1766b2o168b2o54b2o$1765bobo6$1876b2o174b2o$1876b2o174b2o3$1768b
2o390b2o$1768b2o390b2o9$1714bobo$1714b2o$1715bo502bo$2217b2o$2217bobo
2$1710b2o$1710bobo$1710bo49b2o406b2o$1760b2o174b2o54b2o174b2o$1936b2o
54b2o7$1876b2o174b2o$1876b2o174b2o3$1768b2o390b2o$1768b2o390b2o2$1813b
o$1814bo$1812b3o3$2111bo$2110bo52b2o$2110b3o49bobo$2164bo3$1770b2o$
1770bobo$1770bo2$1760b2o406b2o$1760b2o174b2o54b2o174b2o$1936b2o54b2o7$
1876b2o174b2o$1876b2o174b2o3$1768b2o390b2o$1768b2o390b2o2$2053bo$1875b
o178bo$1873b4o167bo7bo$1872bo5bo164bobo6bo2bo$1867b2o6bo3bo162bo2b2o6b
2ob2o45b2o$1866bo2bo2b2o5bo162bo3bo9b2o8b2o34bobo$1865b2o2bo4bobob2o
162b2o8b2o5b2o4b2o37bo$1866b2o2bo5b2o164b3o14b2o5b2o$1867b4o185bo10b3o
$1830b2o218b2o4bo12bo$1830bobo219bo3bo12bo$1830bo219b2o4$1760b2o114b2o
174b2o114b2o$1760b2o114b2o58b2o54b2o58b2o114b2o$1936b2o54b2o6$1863bobo
$1863b2o$1864bo3$1768b2o98b2o190b2o7bobo88b2o$1768b2o98b2o190b2o8b2o
88b2o$2070bo3$2043b2o$2042bobo$2044bo3$1890b2o$1890bobo$1890bo$1984b3o
$1984bobo$1984bo2bo$1985b3o$1985b3o$1760b2o114b2o105bo2bo65b2o114b2o$
1760b2o114b2o108bo65b2o114b2o$1943b2o38bo$1943bo2bo$1934b2o8bo40bo8b2o
$1867b2o65b2o8bo2bo36bo9b2o$1866bo2bo73bo2b2o36b2o$1937bo$1866bobo68bo
bo3b3o$1937b2o2$1996bo$1995bobo$1768b2o224b2obo162b2o$1768b2o224bo165b
2o$1932b2o61bobo$1932b2o62bo7$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o4$1944b2o38b2o$1944b2o38b2o7$
1768b2o390b2o$1768b2o390b2o9$1936b2o54b2o$1936b2o54b2o7$1760b2o114b2o
174b2o114b2o$1760b2o114b2o174b2o114b2o5$1803bobo$1803b2o$1804bo3$2129b
obo$2130b2o$1768b2o360bo29b2o$1768b2o390b2o9$1936b2o54b2o$1936b2o54b2o
7$1760b2o114b2o174b2o114b2o$1760b2o114b2o174b2o114b2o12$1768b2o390b2o$
1768b2o390b2o!
-- Yup, it does a 180-degree kickback, and the glider ends up on Lane 6 relative to the front of that ridiculous rake. I'd call that a huge victory for my crackpot theory.

But it definitely shows the limitations of the method! The Rs in the forward rake have to count toward the final cost of the component, even if we end up getting free kickbacks from a free backrake somewhere. So it's not worth doing this trick unless a cheap (2-3R) forward rake happens to line up, on one side or another, with the kicked-back output of another cheap forward rake.

It also works better if the leading cheap forward rake produces its gliders from the back rather than the front like in this case. That way sometimes the resulting diamond shape could be a halfway reasonable size -- unlike this case.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Re: 31c/240 caterpillar working notes

Post by chris_c » June 18th, 2020, 4:32 am

Another idea: we can treat R2L16F as an R1L16F with a compulsory back rake. There's no need to kill the back rake with an immediate forerake, and if we happen to have a few backrakes left over at the end they can hopefully all be killed by a single forerake and kickbacks.

Code: Select all

x = 595, y = 807, rule = B3/S23
271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b
2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b
2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b
2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b
2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b
2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b
2o114b2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b
2o174b2o114b2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b
2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o
7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$271b2o
54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$
271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o22$271b2o
54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o22$
271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b
2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b
2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b
2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b
2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b
2o$95b2o114b2o174b2o114b2o22$271b2o54b2o$271b2o54b2o5$94bo$93b3o406b2o
$92bo3b2o113b2o174b2o113b2obo$93b5o113b2o174b2o$98bo397bo3bo6bo$92b2o
3bo398bob3o2bo3bo$92b2o2b2o402bo3bob2o$94b2o401b3obo2bo2bo$104bo393b3o
bobobo$104bo396bo3b2o$104bo$487bo$486b3o3$486b3o$91b2o394bo19b2o$91b2o
414bobo$508b2o3bo$509b5o$510bob2o$511b2o$510b3o$510b2o$95b2o406b2o$95b
2o174b2o54b2o174b2o$271b2o54b2o200bo$527bobo$528b2o3$65bo$65bobo$65b2o
144b2o174b2o$211b2o174b2o3$103b2o390b2o$103b2o390b2o$bo$2o$obo3$593bo$
593b2o$592bobo5$471bobo$471b2o$472bo2$95b2o406b2o$95b2o34bobo137b2o54b
2o174b2o$132b2o137b2o54b2o$132bo6$211b2o174b2o$211b2o174b2o3$61bo41b2o
390b2o$60b2o41b2o390b2o$60bobo3$533bo$533b2o$532bobo11$95b2o406b2o$95b
2o174b2o54b2o174b2o$271b2o54b2o7$211b2o174b2o$211b2o174b2o$121bo$120b
2o$103b2o15bobo372b2o$103b2o390b2o2$473bo$473b2o$472bobo13$95b2o406b2o
84bo$95b2o174b2o54b2o174b2o82bobo$271b2o54b2o259b2o3$5bo$5bobo195b3o$
5b2o196bo2bo$202bo3bo$181bo21bo2b2o184b3o$180b2o23bo$180bobo20b2o$202b
3o8b2o170b2o8bo$103b2o97b3o8b2o170b2o3bo2b2ob2o97b2o$103b2o284bo5bo17b
o81b2o$389b3o21b2o$412bobo2$214bo$215bo$213b3o3$215b2o166b2o$215b2o
166b2o$411bobo$411b2o$412bo$269bo$268bobob2o$191bobo73b2o5bo$95b2o95b
2o17b2o174b2o114b2o$95b2o95bo18b2o54bo6bo112b2o114b2o$268b2o3bo52b2o$
269bo4bo51b3obo$270b2o3bo49bo2bob2o$269bo4b2o49b3o$269bob4o48b2ob3o2b
2o$241bo26b2ob2o7bo41bob5ob2o$240b2o27bo10bo40b2o2b2o2b4o$240bobo27bo
9bo41b2o7b2o$326b2ob2o$328bo$328bo24bo$103b2o98b2o148b2o40b2o98b2o$
103b2o98b2o147bobo40b2o98b2o$267b2o62b2o$267b2o62b2o7$271b2o54b2o$271b
2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o4$279b2o38b2o$
279b2o38b2o7$103b2o390b2o$103b2o390b2o2$440bo$441bo$439b3o3$154bo138bo
bo$153bo139b2o$153b3o115b2o21bo32b2o$271b2o54b2o2$309bobo$310b2o$310bo
3$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o4$279b2o38b2o$279b2o
38b2o7$103b2o390b2o$103b2o390b2o9$271b2o54b2o$271b2o54b2o7$95b2o114b2o
174b2o114b2o$95b2o114b2o174b2o114b2o12$103b2o390b2o$103b2o390b2o9$271b
2o54b2o$271b2o54b2o7$95b2o114b2o174b2o114b2o$95b2o114b2o174b2o114b2o!

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dvgrn
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Re: 31c/240 caterpillar working notes

Post by dvgrn » June 20th, 2020, 11:38 am

Yet another idea: here's a first implementation of a rake design that hasn't been tried before. I thought about it a little bit years ago, but was never ambitious enough to get a sample working. Gliders come from Herschel climbers running on temporary tracks built for the purpose:

Code: Select all

x = 1155, y = 6198, rule = B3/S23
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o
7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b
2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$
370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b
2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$
370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o
54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o
$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$546b
2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o
$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b
2o114b2o$370b2o114b2o174b2o114b2o22$546b2o54b2o$546b2o54b2o7$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o22$377b3o166b2o54b2o$378bo
167b2o54b2o$376b3o6$486b2o174b2o107bo$486b2o174b2o106b3o$769b2obo$368b
2o410b2o$368b2o8b2o400b2o$378b2o3$778bobo$779b2o$367bo411bo$366bobo$
365bo3bo$365bo3bo$369bo412b2o$366b3o413b2o7$370b2o406b2o$370b2o174b2o
54b2o174b2o$546b2o54b2o7$486b2o174b2o$486b2o174b2o3$378b2o390b2o$378b
2o390b2o$484bo$482b2o2b2o174bo$487b2o172bobo$484bo3bo3b2ob2o167bo$484b
4o4bo2bo168b2o8bo$470b3o4b2o3bo9bob2o158b4o6b2o$476b2ob2obo12bo158bo3b
o19b2o$471bo8bobo2bo7b2o5bo153b2o2bo10b2o7b3o$471bobobo4bo4bo7bo7b2o
153bo2bo2bob3o2b2o7b2o$470bo8bo20b2o155b3o2bob3o11bo$470bo4b3o179b3o2b
o$469bo4bobo351bo$469bo3bo352bobo$469b4o354b2o3$316bo53b2o114b2o174b2o
114b2o$316bobo51b2o114b2o58b2o54b2o58b2o114b2o$316b2o228b2o54b2o9$679b
o$677bobo$378b2o98b2o190b2o6b2o90b2o$378b2o98b2o190b2o98b2o2$465bo$
465bobo$465b2o2$722bobo$722b2o$554bo168bo$553b3o$552b5o$430bobo118b3ob
2o$431b2o118b2ob2o$431bo121bo3$595bo$370b2o114b2o106b3o65b2o114b2o$
370b2o114b2o105b2o2bo64b2o114b2o$593bo3bo$593bob2o$544b2o47b2o9b2o$
544b2o8b2o48b2o$554b2o4$542b3o58bobo$542bo2bo58b2o$540bo5bo57bo$378b2o
98b2o60bobo4bo122b2o98b2o$378b2o98b2o60b3o2bobo122b2o98b2o$546bo59b2o$
606b2o7$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o
174b2o114b2o4$554b2o38b2o$554b2o38b2o7$378b2o98b2o190b2o98b2o$378b2o
98b2o190b2o98b2o9$546b2o54b2o$546b2o54b2o284bo$886bobo$887b2o3$256bo$
256bobo$256b2o112b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o8$739bo
$737bobo$738b2o2$378b2o390b2o$378b2o25bo364b2o$405bobo$405b2o7$546b2o
54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o
12$378b2o390b2o$378b2o390b2o9$546b2o54b2o$546b2o54b2o7$370b2o114b2o
174b2o114b2o$370b2o114b2o174b2o114b2o13$374bo$373b3o$372bo2b2o$371b2o$
370b2ob3o$370b2o2bo396b2o$373b3o394b3o$371b2o397bo2bo$371b2o397b2ob2o$
546b2o54b2o166b2ob2o$199b2o345b2o54b2o165b2ob2o175b2o$199b2o178bo390bo
178b2o$377bobo391b3o$378b2o392bo4$486b2o174b2o$486b2o174b2o2$780b2o$
378b2o390b2o8b2o$378b2o390b2o$782bo$781bobo$780bo$781bo3bo$781bo4bo$
787bo2$782bo$785bo2$253b3o$253bo$254bo3$889b3o$370b2o406b2o111bo$370b
2o174b2o54b2o174b2o110bo$199b2o345b2o54b2o345b2o$199b2o748b2o6$486b2o
174b2o$486b2o174b2o3$378b2o390b2o$378b2o390b2o9$313b3o$313bo$314bo3$
829b3o$831bo$10b2o818bo$10bobo357b2o406b2o$10bo359b2o174b2o54b2o174b2o
$199b2o345b2o54b2o230bo114b2o$199b2o634b2o112b2o$834b2o297b2o$1132bobo
$1134bo$310bo$308b2o$309b2o175b2o174b2o$486b2o174b2o3$378b2o390b2o$
378b2o390b2o7$373b3o$373bo$374bo3$769b3o$715bo55bo$70b2o643bobo52bo$
70bobo642b2o$70bo$370b2o406b2o$370b2o67bo106b2o54b2o174b2o$199b2o236bo
bo106b2o54b2o345b2o122b2o$199b2o237b2o509b2o121bobo$1074bo5$486b2o174b
2o$486b2o174b2o3$378b2o390b2o$378b2o390b2o2$484b2o$483bo4bo172b2o$482b
o5bo4b2o164b3ob2o$433b3o46b2ob2obo3bo2bo163b3obo7bo$433bo38b4o15b2obo
4bo157b2o4bo2bo3bo4bo$434bo37b2ob2o8bo6bobo5bo156bo5bo3bo2b2o3b2o$470b
o2bo2b2o7bo7b3o2b3o156bobo4bo3bo2bo4b2o$470b3o3bo7bo10bo162b2o4bo3b2ob
6o$469bo2bo2bo6b2o183bo4b3o34b3o$469bobo12bo226bo$130b2o338b2o10b2o
226bo$130bobo$130bo3$199bob3o166b2o114b2o174b2o114b2o170bo62b2o$198b3o
3bo165b2o114b2o58b2o54b2o58b2o114b2o169bobo60bobo$197b3obo344b2o54b2o
345bo64bo$196b2o2b2ob2o747bo$196bo3b5o744b2obo$196bobo749bobo$197b4ob
2o743b2o$199b2ob2o743bobo$191bo8bobo743bobo3b3o$191bo9bo474bo269bo3bo
2b2o$191bo485b2o267bo2b2ob3o$676b2o270b3o2$378b2o98b2o190b2o98b2o$378b
2o88bo9b2o190b2o98b2o$466b2o$203b2o262b2o476b2o$203b2o288b3o449b2o$
493bo$494bo3$649b3o$554bo96bo$190b2o7b2o353bo95bo298b2o$190bobo6b2o
352bobo393b2o$190bo$552b2o369bo$923bobo$552b2o369b2o28b2o$952bobo$370b
2o114b2o174b2o114b2o114bo59bo$231bo138b2o114b2o174b2o114b2o115b2o$229b
obo362b3o297b2o$230b2o362bo2bo$544b2o48bo9b2o$250bo293b2o8b2o48b2o$
191b2o55b2o304b2o42bo358b2o$191b2o56b2o343bo2bo359b2o$603bo$604bo$602b
3o2$542b3o$378b2o162b3o225b2o$378b2o161bob2o225b2o$542b2obo60b2o$543b
2o61b2o5$981bobo$982b2o$546b2o54b2o378bo$199b2o345b2o54b2o345b2o$199b
2o748b2o$161bobo$161b2o$162bo3$370b2o114b2o174b2o114b2o$370b2o114b2o
174b2o114b2o4$554b2o38b2o$191b2o361b2o38b2o361b2o$191b2o764b2o6$378b2o
390b2o$378b2o390b2o9$546b2o54b2o$199b2o345b2o54b2o345b2o$199b2o748b2o
6$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o5$191b2o764b2o$191b
2o543bo220b2o$737b2o$736b2o3$408bo$378b2o26b2o362b2o$378b2o27b2o361b2o
9$546b2o54b2o$199b2o345b2o54b2o345b2o$199b2o748b2o6$370b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o5$191b2o764b2o$191b2o764b2o6$378b2o390b
2o$378b2o390b2o5$1041bobo$1042b2o$1042bo2$546b2o54b2o$101bobo95b2o345b
2o54b2o345b2o$101b2o96b2o748b2o$102bo5$370b2o114b2o174b2o114b2o$370b2o
114b2o174b2o114b2o5$191b2o764b2o$191b2o764b2o16$546b2o54b2o$199b2o345b
2o54b2o345b2o$199b2o748b2o5$377b3o393bo$376bo2bo106b2o174b2o108bobo$
376bo3bo105b2o174b2o$377b4o389bo2bo$368b2o9bo389bo5bo4b2o$368b2o400b3o
3bo3b2o$774b3o$191b2o764b2o$191b2o764b2o$369bo$368bo$368b3o4$366b2o
414b2o$366b2o414b2o7$370b2o406b2o$370b2o174b2o54b2o174b2o$546b2o54b2o
7$486b2o174b2o$486b2o174b2o3$378b2o390b2o$378b2o390b2o$191b2o764b2o$
191b2o51b3o710b2o$244bo$245bo3$898b3o$822bobo75bo$823b2o74bo$823bo2$
1101bobo$320bobo779b2o$320b2o780bo$321bo2$41bobo326b2o406b2o$41b2o327b
2o174b2o54b2o174b2o$42bo503b2o54b2o7$486b2o174b2o$486b2o174b2o3$378b2o
390b2o$304b3o71b2o390b2o$191b2o111bo422bo229b2o$191b2o112bo420bo230b2o
$726b3o2$838b3o$427bo412bo$428bo410bo$426b3o9$370b2o406b2o$370b2o174b
2o54b2o174b2o$546b2o54b2o7$486b2o174b2o$486b2o174b2o2$364b3o$364bo13b
2o390b2o$365bo12b2o390b2o$191b2o764b2o$191b2o764b2o$778b3o$780bo$779bo
12$370b2o406b2o$370b2o174b2o54b2o174b2o$546b2o54b2o7$662b2o$424b3o57bo
b2o174b2o$424bo58b2o2bo$425bo54b5o2bo$378b2o101bo3bobo282b2o$378b2o
100bobo2b3o282b2o$191b2o287bobo2b3o172b3o55b3o236b2o$191b2o279b2o6bobo
170bo2b2o2bo2bo56bo236b2o$470b4o6bo172bo2bob4o6bo50bo$469b2o3b2o183bo
8b2o9bo$468b3ob3obo177bo4bo8bobo2b3o3bo$474bob2o16b2o158b2o13bo2bo7bo
201bobo$475bo19bo4bo166b2o2bo2bo4b2o202b2o$494bo5bo152b2o14bo5b5o203bo
269bo$491b2ob3ob3o153b2o12b2o5bo476bo$487b2o2b2ob3obo147bo9bobo8bo7bob
o474b3o$260bobo223bo4b3o4bo146bo10b2o17bobo$260b2o225bobo155b3o$bo259b
o226b3obo$2bo488bo$3o505bo$509bo$370b2o114b2o19b3o152b2o114b2o$370b2o
114b2o58b2o54b2o58b2o114b2o$546b2o54b2o4$671bo$670b3o$484b3o182bo3bo$
484bo183bo$45b3o437bo181b2ob2o3bo$45bo624b2o$46bo620bo6b2o$378b2o169b
3o106b3o7b2o100b2o$378b2o169bo2bo107bo109b2o$191b2o355bo4bo105bo297b2o
138b3o$191b2o358bo405b2o140bo$1098bo$549b2o134bo$549bobo134b2o$549bobo
46bo86b2o$598b2o$545bo54bo$459bo87bo50b2o$457b2o87b2o49bobo$458b2o138b
o$596bobo$556bo37bo$557bo36bobo$555b3o2$370b2o114b2o174b2o114b2o$370b
2o114b2o174b2o114b2o4$554b2o38b2o$554b2o38b2o10bo2$105b3o$105bo$106bo
3$378b2o390b2o265b3o$378b2o390b2o267bo$191b2o764b2o79bo$191b2o764b2o7$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o4$554b2o38b2o$165b3o386b2o38b2o$165bo$166bo3$977b3o$979bo$378b2o
390b2o206bo$378b2o390b2o$191b2o764b2o$191b2o764b2o2$942bobo$943b2o$
943bo149bo$1092bo$1092b3o$200bobo343b2o54b2o$200b2o344b2o54b2o$61bo
139bo$62bo$60b3o4$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o3$
225b3o$225bo$226bo3$917b3o$919bo$918bo2$378b2o390b2o$378b2o390b2o$191b
2o764b2o$191b2o552bo211b2o$746b2o$745b2o3$399bo$397b2o$398b2o146b2o54b
2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o$285b
3o$285bo$286bo3$857b3o$859bo$858bo4$378b2o390b2o$378b2o390b2o$191b2o
764b2o$191b2o764b2o7$546b2o54b2o$546b2o54b2o7$345b3o22b2o114b2o174b2o
114b2o$345bo24b2o114b2o174b2o114b2o$346bo3$797b3o$799bo$798bo8$191b2o
764b2o$191b2o764b2o43bobo$1003b2o$1003bo29bo$1032bo$1032b3o$140bobo$
140b2o$121bo19bo404b2o54b2o$122bo423b2o54b2o$120b3o4$405b3o$405bo$370b
2o34bo79b2o174b2o114b2o$370b2o114b2o174b2o114b2o2$737b3o$739bo$738bo
10$191b2o764b2o$191b2o764b2o7$546b2o54b2o$546b2o54b2o3$465b3o$465bo$
466bo2$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o13b3o98b2o$679bo$
678bo12$191b2o764b2o$191b2o764b2o7$546b2o54b2o$546b2o54b2o$525b3o$525b
o$526bo3$617b3o$370b2o114b2o131bo42b2o114b2o$370b2o114b2o130bo43b2o
114b2o14$191b2o764b2o$191b2o764b2o7$546b2o37b3o14b2o$546b2o37bo16b2o$
586bo3$557b3o$559bo$558bo$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o14$191b2o764b2o$191b2o764b2o5$645b3o$645bo$546b2o54b2o42bo$546b
2o54b2o2$497b3o$499bo$498bo3$370b2o114b2o174b2o114b2o$370b2o114b2o174b
2o114b2o14$191b2o764b2o$191b2o764b2o3$705b3o$705bo$706bo2$546b2o54b2o$
437b3o106b2o54b2o167bo$439bo330bobo$438bo330b2ob2o$770bo2bo$770bo3bo$
770bo2$486b2o174b2o$377b2o107b2o174b2o$377bobo$368b2o7b3o400b2o$368b2o
7b5o388bo9b2o$380b2o388b2o$372bo4bob2o$370b2o6bo$371b2o5bo2$782bo$780b
2obo$780b2o$780bo$366b2o413b2o$191b2o173b2o414bo174b2o$191b2o764b2o$
765b3o$765bo$766bo3$370b2o5b3o398b2o$370b2o7bo166b2o54b2o174b2o$378bo
167b2o54b2o7$486b2o174b2o$486b2o174b2o3$378b2o390b2o$378b2o390b2o10$
191b2o130bo501b3o129b2o$191b2o129bo502bo131b2o$322b3o501bo$319bo$318b
2o$318bobo2$370b2o406b2o$370b2o174b2o54b2o174b2o$546b2o54b2o7$486b2o
174b2o$486b2o174b2o3$378b2o390b2o$378b2o390b2o4$424bo$425b2o$424b2o
349bo$775b2o$774bobo$720bo$191b2o525b2o237b2o$191b2o186bo339b2o236b2o$
378b2o$378bobo4$370b2o406b2o$370b2o174b2o54b2o174b2o$546b2o54b2o7$486b
2o174b2o$486b2o174b2o3$378b2o390b2o$378b2o390b2o2$665bo$486b3o176b2o$
485b2o3bo164b2o3b2o3bobo47bo$486bobo165bo2b2o3bo3b2o7b2o38b2o$473b2o4b
o5b2o2b4o161b2ob2o4b3o7b2o2bo36bobo$472bobo3b3obo2b2o5b2o155bobo5b2o
13bo5bo$472bo3bo4b2o2b2o3bobo156b2o3bobo7b2o6bo2b2o2bo$439bo32b2o4b5o
7b2o158bo3bo10b2o5b3ob2ob2o$191b2o245b2o38bo2bo183b2o10bo2bo276b2o$
191b2o245bobo35bo188bo11b2obo276b2o$666bo11b2o5$370b2o114b2o174b2o114b
2o$370b2o114b2o58b2o54b2o58b2o114b2o$546b2o54b2o7$472bo$471bo$471b3o2$
378b2o98b2o190b2o98b2o$378b2o98b2o190b2o10bo87b2o$683bo$655bo25b3o$
655b2o$654bobo3$499bo$498b2o$498bobo$191b2o401b3o360b2o$191b2o402bo
361b2o$595b3o5$370b2o114b2o174b2o114b2o$370b2o114b2o66bo107b2o114b2o$
553b3o$553bob2o$544b2o58b2o$544b2o48b2o8b2o$594b2o3$545bobo$545b2o$
546bo59bo$605bobo$378b2o224bo3bo161b2o$378b2o224bo3bo161b2o$542b2o60bo
$542b2o61b3o7$546b2o54b2o$191b2o353b2o54b2o353b2o$191b2o764b2o6$370b2o
114b2o174b2o114b2o$370b2o114b2o174b2o114b2o4$554b2o38b2o$554b2o38b2o7$
378b2o390b2o$378b2o390b2o9$546b2o54b2o$191b2o353b2o54b2o353b2o$191b2o
764b2o6$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o114b2o6$412bo$411bo
$411b3o3$742bo$378b2o363bo26b2o$378b2o361b3o26b2o9$546b2o54b2o$191b2o
353b2o54b2o353b2o$191b2o764b2o6$370b2o114b2o174b2o114b2o$370b2o114b2o
174b2o114b2o12$378b2o390b2o$378b2o390b2o9$546b2o54b2o$191b2o353b2o54b
2o353b2o$191b2o764b2o6$486b2o174b2o114b2o$372bo113b2o174b2o114b2o$368b
5o4b2o$370b2o5bobo$779b2o$367bo2b2ob4o401bo4b3o$368b2o3b4o2bo394bo3bob
o4b2o$374bo398b3o3b2o2bo3bo$771b2o2bo9b2o$766bo4b3o$385bo2bo371b3o3bob
o5bo13b2o$385bo3bo376bob2ob4o12bo2bo$386bobo386bo11bobo$365b2o20bo383b
2ob2o9bo2b2o$356b2o7b2o403b2o2bo8b3o2b2o$358bo6bobo403b3o9bo$358b2obo
3bo2bo403bo10bobo$361b2o421b2o10bo$360b2o2bo432b2o$364bobo429b2o$365bo
2$348bo21b2o406b2o$346b2o22b2o174b2o54b2o174b2o$191b2o154b2o197b2o54b
2o353b2o$191b2o764b2o6$486b2o174b2o$486b2o174b2o3$378b2o390b2o$378b2o
390b2o6$753bo$753bobo$753b2o3$401bo$399bobo$400b2o4$370b2o406b2o$370b
2o174b2o54b2o174b2o$191b2o353b2o54b2o353b2o$191b2o764b2o5$480b3o2$480b
o183b3o$479b4o181b3o$478b5o5b2o172b2o$378b2o98b2o3bo4b2o170b2o4bo103b
2o$378b2o100b3o184bo102b2o$659bo9bo$659bo2bobo3bobo$671bo$664bo6bo$
664bo$666bo3bo$667b2o$477b2o$478bobo9b2o166b2o$479bo10b2o166b2o7$370b
2o114b2o174b2o114b2o$370b2o114b2o58b2o54b2o58b2o114b2o$191b2o352bob2o
4bo48b2o353b2o$191b2o351b2o2bo3b2o403b2o$544b2o3b5o$544bobo2bo53b5o$
544bobobobobo44b4obobo3b2o$544bobobob3o43bo5bo5b2o$545bo3b2o43b2o2b2o
2b4obo$590bo3b2obo2bo3bo$562b3o25bo2b2o3b2o12bo$584b3o3bo2b2ob2obo10b
3o$561bo3bo25b7o2bo8b3obo$378b2o98b2o81bo3bo26b7obo7b2o5b2o53b2o98b2o$
378b2o98b2o62bo53bo3bo6bob2o2bo56b2o98b2o$543bo18b3o31bo9bo4b3o10bo$
540bo2bo50b2o9b2o4b3o9bo$536b3ob3o52bo10b4o13b3o$536b2o3bo53bobo9b3o$
535b3o2b3o53bo11b2o11bo$537bobobo80b2o$539b2o80b2o$539bo$546b2o54b2o$
546b2o54b2o252bo$857b2o$856b2o3$288bo$286b2o$287b2o81b2o114b2o174b2o
114b2o$370b2o114b2o174b2o114b2o$191b2o764b2o$191b2o764b2o2$554b2o38b2o
$554b2o38b2o3$707bo$708b2o$707b2o2$378b2o98b2o96bo93b2o98b2o$378b2o57b
o40b2o96bobo91b2o98b2o$435b2o139b2o$436b2o2$578bo114bo$576bobo114bobo$
577b2o114b2o3$461bo84b2o54b2o$459bobo84b2o54b2o$460b2o6$370b2o114b2o
174b2o114b2o$370b2o114b2o174b2o114b2o$191b2o764b2o$191b2o764b2o2$554b
2o38b2o$554b2o38b2o7$378b2o98b2o190b2o98b2o$378b2o98b2o190b2o98b2o9$
546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b2o174b2o
114b2o$191b2o764b2o$191b2o764b2o10$378b2o390b2o$378b2o390b2o8$916bo$
546b2o54b2o313b2o$546b2o54b2o312b2o3$228bo$226b2o$227b2o2$370b2o114b2o
174b2o114b2o$370b2o114b2o174b2o114b2o$191b2o764b2o$191b2o764b2o4$767bo
$768b2o$378b3o386b2o$377bo3bo$377b2o3bo$377bo4bo$378bo3bo387b2o$770b2o
$379b2o8$546b2o54b2o$546b2o54b2o7$370b2o114b2o174b2o114b2o$370b2o114b
2o174b2o114b2o$191b2o764b2o$191b2o764b2o!
This example isn't actually useful, since it's just an R6L24F, and we already have 3R + R3L28F. There are quite a few variables in the design, though, including the construction location for the initial block, so maybe some variant can be found that's an improvement on the status quo.

Unfortunately this design doesn't match up well with chris_c's builder script, which assumes that all the Herschels will be added on the six pre-defined block trails.

EDIT: Aha, there's a way to do the same thing with only 5R, so I think this Rube Goldbergian rake is actually a nominal improvement:

Code: Select all

x = 1361, y = 5620, rule = B3/S23
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o
7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b
2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b
2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$
654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o
114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b
2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o
114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b
2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b2o54b2o
$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o22$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o
$478b2o114b2o174b2o114b2o22$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b
2o114b2o$478b2o114b2o174b2o114b2o22$485b3o166b2o54b2o$486bo167b2o54b2o
$484b3o6$594b2o174b2o107bo$594b2o174b2o106b3o$877b2obo$476b2o410b2o$
476b2o8b2o400b2o$486b2o3$886bobo$887b2o$475bo411bo$474bobo$473bo3bo$
473bo3bo$477bo412b2o$474b3o413b2o7$478b2o406b2o$478b2o174b2o54b2o174b
2o$654b2o54b2o7$594b2o174b2o$594b2o174b2o3$486b2o390b2o$486b2o390b2o$
592bo$590b2o2b2o174bo$595b2o172bobo$592bo3bo3b2ob2o167bo$592b4o4bo2bo
168b2o8bo$578b3o4b2o3bo9bob2o158b4o6b2o$584b2ob2obo12bo158bo3bo19b2o$
579bo8bobo2bo7b2o5bo153b2o2bo10b2o7b3o$579bobobo4bo4bo7bo7b2o153bo2bo
2bob3o2b2o7b2o$578bo8bo20b2o155b3o2bob3o11bo$578bo4b3o179b3o2bo$577bo
4bobo351bo$577bo3bo352bobo$577b4o354b2o3$424bo53b2o114b2o174b2o114b2o$
424bobo51b2o114b2o58b2o54b2o58b2o114b2o$424b2o228b2o54b2o9$787bo$785bo
bo$486b2o98b2o190b2o6b2o90b2o$486b2o98b2o190b2o98b2o2$573bo$573bobo$
573b2o2$830bobo$830b2o$662bo168bo$661b3o$660b5o$538bobo118b3ob2o$539b
2o118b2ob2o$539bo121bo3$703bo$478b2o114b2o106b3o65b2o114b2o$478b2o114b
2o105b2o2bo64b2o114b2o$701bo3bo$701bob2o$652b2o47b2o9b2o$652b2o8b2o48b
2o$662b2o4$650b3o58bobo$650bo2bo58b2o$648bo5bo57bo$486b2o98b2o60bobo4b
o122b2o98b2o$486b2o98b2o60b3o2bobo122b2o98b2o$654bo59b2o$714b2o7$654b
2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o
4$662b2o38b2o$662b2o38b2o7$486b2o98b2o190b2o98b2o$486b2o98b2o190b2o98b
2o9$654b2o54b2o$654b2o54b2o284bo$994bobo$995b2o3$364bo$364bobo$364b2o
112b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o8$847bo$845bobo$846b
2o2$486b2o390b2o$486b2o25bo364b2o$513bobo$513b2o7$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o12$486b2o390b
2o$486b2o390b2o9$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$
478b2o114b2o174b2o114b2o22$654b2o54b2o$307b2o345b2o54b2o345b2o$307b2o
748b2o5$476b3o407bo$476bo2bo114b2o174b2o113b4o$476b2ob2o113b2o174b2o
108bo7bo$480bo398bo3bo3b3o$473bo2b2ob2o398b5o3b4o$474bob4o400bo6bo3bo$
880b3o2bobo$883bobobob2o$486b3o395bo3bo3$869b3o$870bo$870bo$869b3o$
474b2o414b2o$474b2o414bo2bo2bo$361b3o528bo3bo$361bo530b4o$362bo532bo$
895bo$894bo$893b2o102b3o$478b2o406b2o111bo$478b2o174b2o54b2o174b2o110b
o$307b2o345b2o54b2o198bobo144b2o$307b2o602b2o144b2o$29b3o879bo$29bo$
30bo$448bobo$448b2o$449bo144b2o174b2o557b3o$594b2o174b2o559bo$1330bo2$
486b2o390b2o$486b2o390b2o9$421b3o$421bo$422bo$855bo$854bo$854b3o80b3o$
939bo$938bo$478b2o35bo370b2o$478b2o36bo137b2o54b2o174b2o$89b3o215b2o
205b3o137b2o54b2o345b2o$89bo217b2o748b2o$90bo3$1269b3o$1271bo$594b2o
174b2o498bo$594b2o174b2o3$486b2o390b2o$486b2o390b2o7$481b3o$481bo$482b
o3$877b3o$879bo$878bo3$149b3o326b2o406b2o$149bo328b2o174b2o54b2o174b2o
$150bo156b2o345b2o54b2o345b2o$307b2o748b2o2$1209b3o$1211bo$1210bo2$
594b2o174b2o$594b2o174b2o3$486b2o390b2o$486b2o390b2o2$592b2o$591bo4bo
172b2o$590bo5bo4b2o164b3ob2o$541b3o46b2ob2obo3bo2bo163b3obo7bo$541bo
38b4o15b2obo4bo157b2o4bo2bo3bo4bo$542bo37b2ob2o8bo6bobo5bo156bo5bo3bo
2b2o3b2o$578bo2bo2b2o7bo7b3o2b3o156bobo4bo3bo2bo4b2o$578b3o3bo7bo10bo
162b2o4bo3b2ob6o$577bo2bo2bo6b2o183bo4b3o34b3o$577bobo12bo226bo$578b2o
10b2o226bo3$209b3o$209bo$210bo267b2o114b2o174b2o114b2o82bobo$478b2o
114b2o58b2o54b2o58b2o114b2o83b2o$307b2o345b2o54b2o259bo85b2o$307b2o
748b2o90b3o$1151bo$388bobo759bo$388b2o$389bo2$784bo$785b2o$784b2o2$
486b2o98b2o190b2o98b2o$486b2o88bo9b2o190b2o98b2o$574b2o$575b2o$601b3o$
601bo$602bo$303b3o$302bo2bo$302b2o2bo450b3o$305b2o355bo96bo$662bo95bo
36bo268b3o$302bo358bobo130bo269b3o$300b2o492b3o266bo2bo$269b3o29b2o
357b2o401b3o$269bo794b2o$270bo304bo84b2o$576bo$478b2o94b3o17b2o174b2o
114b2o$478b2o114b2o174b2o114b2o201b3o$702b3o386bo$702bo2bo384bo$652b2o
48bo9b2o$652b2o8b2o48b2o341b2o$299b2o361b2o42bo348b2o8b2o$299b2o401bo
2bo359b2o$711bo$712bo$710b3o2$650b3o400b3o$486b2o98b2o62b3o125b2o98b2o
172bo3bo$486b2o98b2o61bob2o125b2o98b2o172b2o3bo$650b2obo60b2o336bo4bo$
651b2o61b2o337bo3bo2$1054b2o5$654b2o54b2o$307b2o345b2o54b2o345b2o$307b
2o20b3o725b2o$329bo$330bo3$1029b3o$478b2o114b2o174b2o114b2o143bo$478b
2o114b2o174b2o114b2o142bo4$662b2o38b2o$299b2o361b2o38b2o361b2o$299b2o
764b2o6$486b2o390b2o$486b2o390b2o9$654b2o54b2o$307b2o345b2o54b2o345b2o
$307b2o748b2o6$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o5$299b
2o764b2o$299b2o543bo220b2o$845b2o$844b2o3$516bo$486b2o26b2o362b2o$486b
2o27b2o361b2o4$1118bo$1119b2o$1118b2o3$242bo411b2o54b2o$240b2o65b2o
345b2o54b2o345b2o$241b2o64b2o748b2o6$478b2o114b2o174b2o114b2o$478b2o
114b2o174b2o114b2o5$299b2o764b2o$299b2o764b2o6$486b2o390b2o$486b2o390b
2o9$654b2o54b2o$307b2o345b2o54b2o345b2o$307b2o748b2o6$594b2o174b2o112b
3o$479b2o113b2o174b2o112b5o$476bob3o399b3o$475b2obo2bo398b2o7bo$479b3o
398bo3b2o3bo$474b2o2b3ob2o395b2obob2o2bo$299b2o174b2ob5obo397b6o177b2o
$299b2o173b4o2b2o2b2o393bo2bo3bo178b2o$474b2o7b2o384bo10bo$476b2ob2o
387bo2bo4bo$478bo389bobo6bo$478bo390b2o23b2o$875b3o15bo2bo$892b3ob2ob
3o$474b2o415b3o2bo3b2o$474b2o414bo2b2obob2o$886b12o$887bo5bo$891b2o$
888bo2bo$890bo$909bo$478b2o406b2o19bobo$478b2o174b2o54b2o174b2o20b2o$
307b2o345b2o54b2o345b2o$307b2o748b2o$451bo$451bobo$451b2o3$316bo277b2o
174b2o$315b2o277b2o174b2o$315bobo2$486b2o390b2o$486b2o390b2o164bo$299b
2o743b2o19b2o$299b2o742bobo19b2o8$857bobo$857b2o319bo$858bo320b2o$
1178b2o2$511bobo$182bo329b2o$180b2o296b2o32bo373b2o$181b2o295b2o174b2o
54b2o174b2o$654b2o54b2o5$376bo$375b2o$375bobo216b2o174b2o$594b2o174b2o
2$984bo$486b2o390b2o104b2o$486b2o390b2o103bobo$299b2o764b2o$299b2o764b
2o15$478b2o406b2o$478b2o174b2o54b2o174b2o$654b2o54b2o3$436bo$435b2o$
435bobo2$594b2o174b2o$594b2o174b2o152bo$924b2o$923bobo$486b2o390b2o$
486b2o390b2o$299b2o764b2o$299b2o764b2o12$969bo$967bobo$968b2o$478b2o
406b2o$478b2o174b2o54b2o174b2o$391bo262b2o54b2o$391bobo102bo$391b2o
102b2o$495bobo3$864bo$594b2o174b2o92b2o$594b2o174b2o91bobo3$486b2o390b
2o$486b2o390b2o$299b2o764b2o$299b2o764b2o6$797bobo$797b2o439bo$798bo
440b2o$1238b2o2$571bobo$122bo449b2o16b2o$120b2o450bo17bob2o$121b2o469b
2o$478b2o110b2o186bo107b2o$478b2o76bo31b2o64b2o54b2o66bo107b2o$555b2o
97b2o54b2o65bobo$555bobo30bobo$589bo186b2o2$776b2o26bo$804b2o$803bobo
4$768b2o$486b2o98b2o180b2o8b2o98b2o$486b2o98b2o190b2o98b2o$299b2o764b
2o$299b2o764b2o4$766b3o$766b3o$765bob2o$766b2obo$767b2o6$616bo$478b2o
114b2o19b2o153b2o114b2o$478b2o114b2o19bobo152b2o114b2o$657b2o$657bo$
652b2o2bo3bo44b2o37bo$652b2o3bo2b2o42b3o37b2o$662b2o39bo2b2o35bobo$
659b2ob2o42b3o$705b3o4b3o$660b2ob2o41bo$660b2ob2o$662bo2$486b2o390b2o$
486b2o390b2o$299b2o349b2o62b2o349b2o$299b2o349b2o62b2o349b2o7$654b2o
54b2o$654b2o54b2o2$1029bo$1027bobo$1028b2o3$331bo146b2o114b2o174b2o
114b2o$331bobo144b2o114b2o174b2o114b2o$331b2o3$662b2o38b2o$662b2o38b2o
7$486b2o390b2o$486b2o390b2o$299b2o764b2o$299b2o764b2o5$1298bo$1299b2o$
654b2o54b2o586b2o$654b2o54b2o119bo$832bo$62bo767b3o$60b2o$61b2o$529bo
138bobo$528bo139b2o$478b2o48b3o63b2o73bo100b2o114b2o$478b2o114b2o174b
2o114b2o4$662b2o$662b2o7$486b2o390b2o$486b2o390b2o$299b2o764b2o$299b2o
764b2o7$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o
174b2o114b2o12$486b2o390b2o$486b2o390b2o$299b2o764b2o$299b2o764b2o7$
654b2o54b2o$654b2o54b2o377bo$1087bobo$1088b2o3$271bo$271bobo$271b2o
205b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o14$299b2o764b2o$299b
2o764b2o3$1358bo$1359b2o$1358b2o2$654b2o54b2o$2bo651b2o54b2o$2o$b2o5$
478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o6$5b2o$5bobo$5bo3$
1354b2o$1353bobo$1355bo$299b2o764b2o$299b2o764b2o7$654b2o54b2o$654b2o
54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b2o114b2o4$65b2o$65bobo
$65bo3$1294b2o$1293bobo$1295bo3$299b2o764b2o$299b2o764b2o6$1149bo$654b
2o54b2o435bobo$654b2o54b2o436b2o3$211bo$211bobo$211b2o266bo$478bo$479b
o114b2o174b2o$478b3o113b2o174b2o114bo$478b2o401bob5o$125b2o349b2ob2o
399bo3bo2bo$125bobo348bo404bo$125bo349bo2bo3bo399bo2b3o$475bob2o2bobo
390b2o4b2o4bo$474b2o3bo4bo387bo7b2o$476b2o3bobo386b3o9bo351b2o$477bob
2obo386bo4b2o4bo352bobo$478bo389bo3b3obo358bo$869bobo4bo17b2o$873bo2bo
16bobo3bo$874bo10bo14b2o$474b2o415bo3bo$474b2o411b2o2b2ob2ob3o$887b2o
431bo$887b3o2bo427bobo$892bo427b2o$890b2o$907bo$50bo857b2o$48bobo285b
3o139b2o406b2o19b2o$49b2o285bo141b2o174b2o54b2o174b2o$337bo316b2o54b2o
$453bo$451b2o$452b2o568b3o$1024bo$1023bo2$594b2o174b2o$185b2o407b2o
174b2o$185bobo$185bo$486b2o390b2o$486b2o390b2o$1174b2o$1173bobo$1175bo
6$858bo$858bobo$858b2o3$512bo$396b3o111bobo$396bo114b2o$397bo80b2o406b
2o$478b2o174b2o54b2o174b2o$654b2o54b2o$962b3o$964bo$963bo3$245b2o$245b
obo346b2o174b2o$245bo348b2o174b2o3$486b2o390b2o234b2o$486b2o390b2o233b
obo$1115bo12$456b3o$456bo$457bo751bo$1207bobo$478b2o406b2o320b2o$478b
2o174b2o54b2o174b2o14b3o$654b2o54b2o192bo$151bo751bo$151bobo$151b2o$
305b2o$305bobo$305bo$594b2o174b2o$594b2o174b2o$1054b2o$1053bobo$486b2o
390b2o175bo$486b2o390b2o9$1260bo$1260bobo$516b3o741b2o$516bo$517bo449b
o$110bo857b2o$108bobo856b2o$109b2o731b3o$478b2o364bo41b2o$393bo84b2o
174b2o54b2o131bo42b2o$391b2o261b2o54b2o$392b2o$365b2o$365bobo399bo$
365bo400bo$765bo2bo2$994b2o$766bo5b2o219bobo$592bo179b3o220bo$591b2o
176bo3b2o$486b2o101b2obo174b2o5b2o102b2o$486b2o108bo171bo4b2o103b2o$
588bo2bo4b2o172b2o7bo$589b2obobo2b2o168b2o10bo$588bobo2b2o184bo$588bo
2bo$588bo$589bobo$590bo207bo$798bobo$576b3o19b2o166b2o30b2o$576bo21b2o
166b2o$577bo$572bo$570bobo$571b2o209b3o$784bo$783bo$478b2o114b2o174b2o
114b2o$478b2o114b2o58b2o54b2o58b2o114b2o$425b2o227b2o54b2o$425bobo$
425bo$649bo4bo$647bo2bo2bobo3bo$646bo3bob2obo2bob2o46b2o224b2o$646bo2b
o3b2o2b2ob2o45b3o223bobo$658bo3bo45bob2o5b2o19bo196bo$658b5ob4o41bo2b
2o3b3o17bo$644b2o16b2o3bo3b3o21bo12b3o8bo17b3o$643bo2b2o10bobobo2b2o
27bobo4b2o4bo4b2o2b2o$486b2o98b2o54b3o3bo8bo5bo37bobo3bo8b2o60b2o98b2o
$486b2o98b2o44bo10bo4b2o7bo2b2ob2o31bo6bo3bo2bo6bo5bobo52b2o98b2o$633b
o10b3obob2o6bo4b2o31bo3bob2o4bobo7bo5b2o$631b3o13b2ob2o8bo2bo28bo3bo2b
2o23bo$647b2ob2o8b3o33bo3b2o$648b2o11bo30bo3b2o$635bobo55b2obo$635b2o
58bo$636bo2$654b2o54b2o$654b2o54b2o3$1269bo$1267bobo$1268b2o2$478b2o5b
2o107b2o174b2o114b2o$91bo386b2o5bobo106b2o174b2o114b2o$91bobo391bo$91b
2o716bo$810b2o$662b2o38b2o105b2o63b2o$662b2o38b2o169bobo$690bo184bo$
551bo137bo$549b2o138b3o$550b2o2$680bo$486b2o193bo196b2o$486b2o191b3o
196b2o7$1200bo$1200bobo$654b2o54b2o488b2o$654b2o54b2o$1027bo$170bo857b
2o$168bobo856b2o$169b2o$545b2o$333bo211bobo$331b2o145b2o65bo48b2o174b
2o114b2o$332b2o144b2o114b2o174b2o114b2o2$814b2o$813bobo$662b2o38b2o
111bo$662b2o38b2o7$486b2o390b2o$486b2o390b2o9$654b2o54b2o$654b2o54b2o
3$605b2o$605bobo$605bo2$478b2o114b2o174b2o114b2o$478b2o114b2o158b2o14b
2o114b2o$753bobo$755bo10$93b2o391b2o390b2o$93bobo390b2o390b2o$93bo3$
1266b2o$1265bobo$1267bo3$654b2o54b2o$654b2o54b2o$665b2o$665bobo$665bo
3$694b2o$478b2o114b2o97bobo74b2o114b2o$478b2o114b2o99bo74b2o97bo16b2o$
870b2o$869b2o3$491bo$489b2o$490b2o3$153b2o$153bobo$153bo332b2o390b2o$
486b2o390b2o2$1206b2o$1205bobo$1207bo$1140bo$1140bobo$1140b2o2$654b2o
54b2o13b2o360bo$230bo423b2o54b2o13bobo360b2o$228bobo494bo361b2o$229b2o
2$273bo360b2o$271b2o360bobo$272b2o361bo$478b2o114b2o174b2o114b2o$478b
2o114b2o174b2o114b2o8$213b2o$213bobo$213bo3$1146b2o$1145bobo$1147bo5$
785b2o$785bobo$654b2o54b2o73bo$654b2o54b2o2$574b2o$573bobo$575bo3$478b
2o114b2o174b2o$478b2o114b2o174b2o$881bo3b3o$881b4o2bo$881b3o2bo$885b3o
$477b2o398b2o$469b2o6bobo393b10o$469bo2b2o3bobo392b4o3bo$472bob2ob2o4b
2o384b3o4bo2bo2bo$477b2obobob2o6b4o373b4o8bo$467bo2b2obobo2bo5b2ob3ob
2o3bo372bo3b4o18bo$468bo2b3o5bo4bo6bo3b2o376b3o10b2o6b2o4bo$469b3obo7b
o2bo7b2o390bo8b2o3bobo$473bo8bobo399bo7bob2o2bobo$462bo8b3o9bo8b3o394b
ob4o$462bobo26b2o393b3o8b2o$462b2o425b4o$890b2o$845b2o43bo$845bobo60bo
$845bo60bobo$478b2o406b2o19b2o$478b2o174b2o54b2o174b2o$514b2o138b2o54b
2o$513bobo$515bo5$594b2o174b2o$594b2o174b2o3$486b2o390b2o$486b2o390b2o
4$500bobo$501b2o$501bo3$858bobo$858b2o$859bo$905b2o$905bobo$905bo3$
454b2o22b2o406b2o$453bobo22b2o174b2o54b2o174b2o$455bo198b2o54b2o7$594b
2o174b2o$594b2o174b2o3$486b2o390b2o$486b2o390b2o9$911b2o$912b2o$911bo
3$458b2o$457b2o$459bo$478b2o406b2o$478b2o174b2o54b2o174b2o$654b2o54b2o
7$594b2o174b2o$594b2o174b2o3$486b2o390b2o$486b2o390b2o7$851b2o$852b2o$
851bo3$518b2o$517b2o$519bo3$478b2o406b2o$478b2o174b2o54b2o174b2o$654b
2o54b2o8$776bo$775b2o$768b2o4bobo$486b2o104bo175b2o4b2o102b2o$486b2o
103bobo185b2o97b2o$590b2ob2o2bo178bo$560bobo28bobo3bo176b3obobo$561b2o
25b2obo5bo176b2o4bo$561bo26b2ob2o181b2o2b2o$590bo185b2ob2o10b2o$776b2o
b2o11b2o$778bo12bo6bobo$798b2o$598b2o166b2o31bo$578b2o18b2o166b2o$577b
2o$579bo5$478b2o114b2o174b2o114b2o$478b2o114b2o58b2o51b3o60b2o114b2o$
654b2o49b4o2b2o$704bobob5o$705b2o6bo$653bo49b6o2b3o$653b2o48b2obobob2o
bo$649b2o3b2o47bo2bo$647b2obo8b2o43b4o2b2o$646bo4bo7bobo$659bo12bo21b
2o$645bo3bo12b2o2b3o3bo19bo2bo$644b2o13bo3b2o7bo20b3o23b2o$486b2o98b2o
42bo27bobo39b2o15b2o2b2obo53b2o98b2o$486b2o98b2o43b2o28bo53b2o5bo2bo
52b2o98b2o$630b2o12b6o8bo2bo7b2o48b2o4bo$647bobo10b2o48bo4bo4bob3o$
637bo10bo65bo4b2obo8b2o$636bo11bo61bo2bo2bo2b2o11b2o$636b3o77bo14bo$
714bobo$715bo2$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b
2o114b2o174b2o114b2o4$662b2o38b2o$662b2o38b2o$551bo$551bobo$551b2o2$
678bo$679b2o138bo$486b2o190b2o137bobo58b2o$486b2o330b2o58b2o2$682bo$
680b2o$681b2o5$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b
2o114b2o174b2o114b2o4$662b2o38b2o$662b2o38b2o7$486b2o390b2o$486b2o390b
2o9$654b2o54b2o$654b2o54b2o7$478b2o114b2o174b2o114b2o$478b2o114b2o174b
2o114b2o12$486b2o390b2o$486b2o390b2o9$654b2o54b2o$654b2o54b2o7$478b2o
114b2o174b2o114b2o$478b2o114b2o174b2o114b2o4$491bo$491bobo$491b2o2$
878bo$877bobo$876b2obo$876bo$486b2o389bobo$486b2o390bo!
EDIT2: Cut down the size by 93 rows -- replaced the pattern above.

EDIT3: I suspect that the height can be reduced a bit more, but it's hard to adjust all the variables correctly. The red diamonds show where there's a problem with the adjustment I tried:

Code: Select all

x = 1345, y = 5155, rule = LifeHistory
646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A
114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.
2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$
470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.
2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A
114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A
7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$
470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.
2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A
54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A
174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.
2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.
2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$
646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.
2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.
2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A
174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A7$470.2A114.
2A174.2A114.2A$470.2A114.2A174.2A114.2A22$646.2A54.2A$646.2A54.2A6$
476.A$476.A109.2A174.2A$476.A109.2A174.2A$872.3A$468.2A7.3A395.A4.2A$
468.2A7.A.A390.A4.A4.2A$472.A.A2.3A389.A4.A$472.2A396.A$473.A395.4A.A
$869.A4.2A$870.A3.A$869.2A.2A$870.A.A$871.A2$466.2A414.2A$466.2A414.
2A7$470.2A406.2A$470.2A174.2A54.2A174.2A$646.2A54.2A7$586.2A174.2A$
586.2A174.2A3$478.2A390.2A$478.2A390.2A3$585.2A$583.4A333.A$583.A2.A
331.A.A$577.2A3.2A4.2A329.2A$575.2A2.A3.3A3.2A$575.A2.3A2.A.2A.2A$
424.A150.A4.A4.4A177.A$424.A.A149.5A184.3A$424.2A152.2A184.A2.2A$763.
2A$762.2A.3A$762.2A2.A$765.3A$763.2A$470.2A114.2A175.2A113.2A$470.2A
114.2A58.2A54.2A174.2A$646.2A54.2A$771.A$769.A.A$770.2A3$573.A$573.A.
A$573.2A2$830.A.A$478.2A98.2A190.2A58.2A38.2A$478.2A98.2A190.2A59.A
38.2A3$522.A.A$523.2A$523.A12$470.2A114.2A174.2A114.2A$470.2A114.2A
109.A64.2A114.2A$653.2A41.2A$654.3A38.A$644.2A9.2A39.2A6.2A$644.2A10.
2A38.2A.2A3.2A$653.2A.A39.4A$647.A.A3.3A38.2A.3A$647.2A5.A39.2A.2A$
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290.3A97.2A$478.2A390.2A9$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
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54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A
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$478.2A390.2A323.A$1194.A3$583.2A$585.A$580.3A3.A$579.5A2.A$578.2A5.
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$299.2A467.2A32.A246.2A3$209.3A364.A$209.A364.2A$210.A364.2A3$1133.3A
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63.3A88.A19.2A114.2A175.A$290.2A763.A$294.A402.A359.A$269.3A21.2A349.
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2A98.2A$642.2A62.2A$302.A339.2A62.2A337.2A$303.2A740.2A6$646.2A54.2A$
299.2A345.2A54.2A345.2A$299.2A748.2A6$470.2A114.2A174.2A114.2A$470.2A
114.2A174.2A114.2A$329.3A$329.A$330.A$654.2A38.2A$291.2A361.2A38.2A
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222.2A540.2A$291.2A764.2A3$1102.A$1103.2A$1102.2A$478.2A390.2A$478.2A
390.2A$242.A$240.2A$241.2A6$646.2A54.2A$299.2A345.2A54.2A345.2A$299.
2A748.2A6$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A5$291.2A
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390.2A156.2A$1027.A.A8$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A
114.2A$470.2A114.2A174.2A114.2A3$470.A$465.5A.A3.2A$291.2A83.A85.2A.
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$460.3A4.A7.3A385.3A.5A5.A13.A.A$461.A6.A6.2A2.2A382.3A.A2.A21.2A$
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$451.2A2$470.2A406.2A$470.2A174.2A54.2A174.2A$646.2A54.2A7$586.2A174.
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24.A$478.2A98.2A148.2A40.2A98.2A$478.2A98.2A147.A.A40.2A25.A.A70.2A$
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2A7$470.2A114.2A174.2A114.2A$470.2A114.2A174.2A114.2A4$654.2A38.2A$
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470.2A114.2A174.2A114.2A12$478.2A390.2A410.A$478.2A390.2A411.2A$291.
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$470.2A406.2A$470.2A174.2A54.2A174.2A$646.2A54.2A4$334.3A$334.A$335.A
$586.2A174.2A$586.2A174.2A$1008.3A$1010.A$478.2A390.2A137.A$478.2A
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D370.D390.A.A$1252.2A$487.D3.D366.D3.D$646.2A54.2A$91.A393.D7.D152.2A
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114.2A174.2A114.2A$470.2A114.2A174.2A114.2A5$545.2A$545.A.A$545.A3$
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$737.A.A$739.A2$870.2A$870.2A7$93.2A$93.A.A$93.A552.2A54.2A$646.2A54.
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1189.A.A$1191.A5$470.2A114.2A137.2A35.2A114.2A$470.2A114.2A137.A.A34.
2A114.2A$725.A3$618.2A$617.A.A$619.A6$870.2A$870.2A3$213.2A$213.A.A$
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470.2A114.2A174.2A21.A92.2A$470.2A114.2A174.2A114.2A2$558.2A$557.A.A$
559.A2$470.A404.2A$470.3A403.2A$468.2A2.A401.A.A3.A3.3A$865.3A6.A3.3A
.2A3.A$464.5A8.3A3.2A379.5A6.4A3.A3.2A$464.A3.A.A2.A.A.3A2.2A.A377.5A
.A8.A4.A3.A4.A$464.2A.A3.2A.A5.A4.2A374.2A2.3A.2A4.3A6.A.A3.A.A$466.
2A10.3A3.2A375.2A.A2.3A16.A4.2A$475.2A2.2A379.2A6.A8.A$861.A2.A11.A$
862.3A5$470.2A406.2A$470.2A174.2A54.2A174.2A$646.2A54.2A3$845.2A$845.
A.A$845.A2$586.2A174.2A$484.A.A11.2A86.2A174.2A$485.2A10.A.A$485.A13.
A$478.2A390.2A$478.2A390.2A$858.A.A$858.2A$859.A14$470.2A406.2A$470.
2A174.2A54.2A174.2A$646.2A54.2A$905.2A$905.A.A$905.A3$438.2A$437.A.A
146.2A174.2A$439.A146.2A174.2A3$478.2A390.2A$478.2A390.2A17$470.2A
406.2A15.2A$470.2A174.2A54.2A174.2A16.2A$646.2A54.2A191.A3$458.2A$
457.2A$459.A2$586.2A174.2A$586.2A174.2A3$478.2A390.2A$478.2A390.2A15$
835.2A$836.2A$470.2A363.A42.2A$470.2A174.2A54.2A174.2A$646.2A54.2A$
518.2A$517.2A$519.A3$544.A.A40.A$545.2A39.4A$545.A39.A.A2.A$589.3A
168.A$586.A4.A168.A5.A$478.2A106.2A3.3A165.3A5.A30.A.A69.2A$478.2A
101.A3.3A177.A.A30.2A70.2A$579.5A.2A172.3A4.2A31.A$578.3A.5A173.A9.3A
$579.5A.2A3.2A$581.A4.A2.3A$588.3A$588.2A3$590.2A166.2A$590.2A166.2A
3$775.2A$776.2A$775.A2$470.2A114.2A174.2A114.2A$470.2A106.2A6.2A58.2A
54.2A58.2A114.2A$577.2A67.2A54.2A$579.A2$614.A$615.2A$614.2A83.A$646.
A52.A2.3A$646.2A51.A2.A.A$647.3A50.A3.A3.5A17.A$639.2A6.A39.A11.5A3.
2A19.2A$638.4A6.2A37.A4.4A.A.A.2A6.4A16.2A$478.2A98.2A57.A4.A19.A.A
21.A.A3.2A.2A.2A11.A58.2A98.2A$478.2A98.2A58.2A.3A5.A3.2A6.A2.A23.A3.
A3.A12.2A6.A52.2A98.2A$639.2A2.A4.A.A2.2A6.A2.A21.3A6.3A11.2A7.A$640.
A3.3A.A.A11.2A22.2A2.2A24.3A$641.A.A3.A.A35.2A4.3A$642.A42.2A3.A.2A$
684.2A.3A$685.4A$686.2A2$646.2A54.2A$646.2A54.2A6$551.A$470.2A79.A.A
32.2A174.2A114.2A$470.2A79.2A33.2A174.2A114.2A2$662.A$663.2A138.A$
654.2A6.2A30.2A105.A.A$654.2A38.2A106.2A2$682.A$680.2A$681.2A3$478.2A
390.2A$478.2A390.2A9$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.
2A$470.2A114.2A174.2A114.2A4$654.2A38.2A$654.2A38.2A7$478.2A390.2A$
478.2A390.2A9$646.2A54.2A$646.2A54.2A7$470.2A114.2A174.2A114.2A$470.
2A114.2A174.2A114.2A12$478.2A390.2A$478.2A390.2A9$646.2A54.2A$646.2A
54.2A4$491.A$491.A.A$491.2A$470.2A114.2A174.2A114.2A$470.2A114.2A174.
2A114.2A$863.A$861.A.A$862.2A9$478.2A390.2A$478.2A390.2A!
Another interesting idea would be to use a double back+fore rake at the end, instead of a standard forerake, and then do a quadruple-kickback cleanup instead of just a triple-kickback cleanup. Ugh, what a mess. I just want a nice artificially intelligent Python script to do all the experimenting for me.

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