dbell wrote: ↑March 20th, 2024, 5:06 am
Code: Select all
#C A diagonal c/4 period 76 sideways rake.
...
Thanks! I thought it must be possible, and now we've already justified the existence of this new and absurdly large puffer engine.
The
c/4 diagonal status table was starting to get a bit too green, which belies the fact that we don't know much above the low periods. I added another row to the table, but I don't have explicit constructions for period 156 = 52*3 or for period 180 = 20*9 = 36*5 = 60*3. Do we already have explicit methods of constructing these rakes, or is a custom build necessary?
Now I wonder what period K we can establish such that all periods K+4n have rakes (n a nonnegative integer). With current technology something on the order of K in the interval [10000,100000] might be possible by adapting the p4508+32n rake, but it would probably be too much effort. I'm hoping that something simpler and much lower period can be achieved.
The idea is to ignite a long boat fuse and get an output glider from the reaction caused by the fuse reaching the front of the wickstretcher. The simplest form of this seems to be the following:
Code: Select all
x = 97, y = 99, rule = B3/S23
8b2o$7b2o$9bo$11b2o$10bo2$9bo2bo$b2o5b2o$2o5bo$2bo4bobo$4b2o2bo$4b2o$
8bo$7bobo$8bobo$9bobo$10bobo$11bobo$12bobo$13bobo$14bobo$15bobo$16bobo
$17bobo$18bobo$19bobo$20bobo$21bobo$22bobo$23bobo$24bobo$25bobo$26bobo
$27bobo$28bobo$29bobo$30bobo$31bobo$32bobo$33bobo$34bobo$35bobo$36bobo
$37bobo$38bobo$39bobo$40bobo$41bobo$42bobo$43bobo$44bobo$45bobo$46bobo
$47bobo$48bobo$49bobo$50bobo$51bobo$52bobo$53bobo$54bobo$55bobo$56bobo
$57bobo$58bobo$59bobo$60bobo$61bobo$62bobo$63bobo$64bobo$65bobo$66bobo
$67bobo$68bobo$69bobo$70bobo$71bobo$72bobo$73bobo$74bobo$75bobo$76bobo
$77bobo$78bobo$79bobo$80bobo$81bobo$82bobo$83bobo$84bobo$85bobo$86bobo
$87bobo5bo$88bobo3bo$89bobo2b3o$90bobo$91bobo$92b2o!
The trick would then be to use that extra front debris to get a quick sideways glider which can then be manipulated to reignite the fuse.
The above reaction can potentially be reignited with period 108+16n, shown below at periods 108 and 124 with blinkers to suppress debris for demonstration purposes:
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x = 227, y = 130, rule = B3/S23
225bo$224bo$224b3o14$85bo$84bo$84b3o25$128b3o12$3o7$225bo$224bo$224b3o
6$85bo$84bo$84b3o2$159b3o8$27b3o12$201b2o$200b2o$202bo$64b2o138b2o$63b
2o138bo$65bo$67b2o133bo2bo$66bo127b2o5b2o$193b2o5bo$65bo2bo126bo4bobo$
57b2o5b2o131b2o2bo$56b2o5bo126b3o4b2o$58bo4bobo135bo$60b2o2bo135bobo$
60b2o139bobo$54b3o7bo137bobo$63bobo137bobo$64bobo137bobo$65bobo137bobo
$66bobo137bobo$67bobo137bobo$68bobo137bobo$69bobo137bobo$70bobo137bobo
$71bobo137bobo$72bobo137bobo$73bobo137bobo$74bobo137bobo$75bobo137bobo
$76bobo137bobo$77bobo5bo131bobo5bo$78bobo3bo133bobo3bo$79bobo2b3o132bo
bo2b3o$80bobo137bobo$81bobo137bobo$82b2o138b2o!
To get other timings mod 16 we would need to modify this somehow. For example, I think we could use gliders to shorten the fuse before the next ignition. Of course everything adds to the repeat time.
The p4508+32k example uses a two copies of the wick for stabilization, but it releases the glider far below the bottom of the wick, forcing a large number of conduits to raise the glider back to the position where it can reignite the fuse. This results in a very high base period. I'm hoping something faster can be found, maybe even with the single wick.
Edit: the absolute ideal is probably a fuse ignition by a passing p4 catalyst-type ship, but that seems like it's probably well beyond even Amling's abilities at the moment.
Edit 2: here are minor reductions to some of the branches of the new engine made by hand using known components (I also removed two disconnected gliders):
Code: Select all
x = 130, y = 79, rule = B3/S23
69bo$68b2o$45bo16bo5bobo$44b2o15b2o$44bobo14bobo3b2obobo$65bo7b2o$47b
2o15bo4bo5b2o$47b2o15bo2bo2b6o2$38bo6b2o3b2o$37b2o5bo2bobo3bo$37bobo3b
2obo3bo2bo$41bo9b2o21b2o$40bo14b2o16b2o$40bo2bo8bob2obo15bo$51b3obo16b
2o$51b2obo18bo$53bob2obo10b2o$56bob2o8b2obo2bo$53b4ob2o10bob2o$58bo9b
2o$58bobo7b2o2bobo$58bobo11bobo$57b3o9b2ob2o$56b3o9bob3o$58bo8b2o2b2o$
55bo2bo7b3o4bo$55bobo2b2o4b3o2b2o$55bob2o12b3o$56b2o10bobo$70bo$55b2o
7b2o4bob2o$53b2o5bo2b2o6bo3bo20bo$53bo3bobo5bo6bo2bo18b2obo4b2o4b2o$
53b3ob3o7bo5b2o18b2o2bo3b2o5bobob3o$55bobobo6bo11b2o11b2o2bo7bo4bo3b3o
$55b2o8b2o6bobo2bobo7bobob2o13b2o3bo$53b2ob2o7b3ob3o3bo2bo6b4o3b2o9bob
o2bo2bo$53bo5bo4bo2bob2o14b2o4b2o9bobobo$53bob4obo3b4o6bo7b2o4b2obobob
o5bo4b2o2bo5b3o$57b3o10bo3bo3b3ob2o11b2o3b2ob2o11bo2b3o$65bo5bo2b2o2b
3obo4b4o6bo3b2o5bobo9b2o$60bo3bo4b2o3b2obo5bo2bo6bo3bo7bo6b3o$58bo2bo
3b2o3bobo5bo2bo9bobo5bo4bo2bo2bo2bo2bo$57bo3bo2bobo5b2ob3o3bo3b3o4b3o
4bo5b2o5bo$57bo6b2o2bo6bo2b7ob2obo4bo$57b2o4bo4b3o6bo2bo6bobo$61bo7b2o
7b2o$57bob4o2bo33b2o$56bobobo2bo23b2o4b3o3bobo$56bo4bob2o22bobo3bo5bo
10b2o6b2o$47b2o2bo5bo2bob3o5b2o15bo6bo7bo6b2o4b2obo$46b2o4bo5bo2bobo6b
obo17bo5bo6bo6bobo2b2o$47bobo14bo5bo11b3o5b2o3b3ob2obobo5b3o2b2o$42b2o
2b5ob2o7b2o2b2o6bo8bo7b2o7b2o9b3o$41b2o2b3o5b2obo5b4o7b2o9bo6b3o2bo2b
2obob2o$36b2o4bobob2o3b2o9b4o7b2o5b4o7bo11b3o$2b2o32bobo3b2o2bo3b4o2b
2o5bobo8b2o2b2o2b2ob2o4bo2b2o11b4o$2bobo31bo6bob3o2bo6bo16bobo3bo6bo2b
o3b4o8b5o$2bo36bo6b2o17b3o5bo9bo5bo3bob2ob2o7b2o$5bo33b2o12b3ob2o13bo
3b2o2bobo2bo3b2o2bo5b2o3b2o$5b2o60b2o3b2ob2ob2o2b4o3b2o9bob4o$5b2o49bo
5b2o8bo4b2o2b2o2bo3b2o13bobo$4b2o18b4o27bo5b2o5bo6bo2bobobo7bo11b2o$2o
b2o15b2obo5bo20b2o2bo8bo2b3o2b2o4bo2b2o44bo$o4bo10b3ob3o6bo20bobobo2bo
7bob2o2b2o9bo13b2o14bob6o5b2o$ob4o10bo11b3o19bo3bo10bo6bo6bo2bobo11bob
o9b2ob3ob2ob3o4bobo$4b2o11bo4bobobo4bo25bo2b3o5b2o3bo3bo4bobobob2o6bo
10b2o7b2o$4b2o10b2o3bo2b3o3bobo22b3o2bo4bo3b2o2bo2b2o3bob2o3b2o18bo4b
3obo3b2o5b2o$4b2o7b5o2b2o5bo3b2o3bo19bo4bo3b3ob2o3b3ob2o5b2o4bo6b2ob3o
3bo5b2o8bo4b2o$6bo3bob2o3bo2b2o5bo3b2o3b2obo15b2o6bo2b2o5b2o11bob4o2b
2ob3o5b3o4bo4b3o2bo$5b2o4bo2bo17bo3bo3bo12bob2o3bo3bob2obo2b2o14b4o2bo
bo4b2obo4bob2o9bo3b2o$5bo6bo24bo3bo8bob2o6b2ob2o2bobo2b3o11bo17bob2o
15bo3bo$6bo28b2o2bo6b6o2b4obo5bo6b2o12b3ob3o2bo28bo$34b2o3bo10bo16b2o
19bob3o3b2o$36bo2bo5b2ob2obobob2o9b2o20b3obo$38b4ob2o2bo5bo3b9o27bo$
42bo$42b2o!
here is a quick p156 rake made by combining the p52 siderake and p12 backrake:
Code: Select all
x = 411, y = 332, rule = B3/S23
56bo$55b5o37b2o$55bo2b2o36b2o$57b2obo37bo$100b2o$60bobo36bo2$62b3o33bo
2bo$63b3o31b2o$60b6o30bo$92b2o2bobo$63bo28bobo2bo$63bo24bo3bobo$56b3o
4bo23b2o4b2o$56bo30bobo3b2o$57bo2b3o29b3o$59bo3b3o14b3o7bo3bo$60bob4o
12bo5bo4b2o2bo$62b2o13b2o9bo$60b2obo4b2o3b5ob4ob2ob4o$61bo6bo2bo4b2o
11b2o$61bo6bo2bo3b4o$61b2o6b2ob2obo4bo$63bo4bo4b3o4bo13b2o6b2o$66bo7b
2o3bo14bobo3b3obo$62bob3o2bo8b2o14bo4b2o$64bo4bo8bo16b2o$64bobo22bo5bo
4bo$62b2o2bo17bo3b6o5bo$62bo20b2o3bo8bo$62bo3bo4bo11bobo3b3ob3o$64b2o
4b5o13b3o$48b2o20bo2b2o5b2o4b3o$48bo2b3o10b2obo4b2obo3b2obo2bo$48bob4o
11b2o4bo4bo3bo2b3o2bo$43b2o4bo3bobo14b7o3b2o$43bo2b2o9bo8b2obobo8b2o5b
o$38bo4bo3bo7b3o8b2ob2o3b4ob2obo3bo$4bo32b2o5b2obo3b7obo7b3obobo2bob3o
3bo$3b2o32bobo3bo3b2o2bo13b3o2bob4o3bo$3bobo35bo10bo2bo3bo5b3o3b2o3bo$
40bo4bo2bo6bo3bo5b5obo2b2o$6b2o32bo2bo11bo2bo6bo4b2o2b2o$6b2o58bobob2o
28b2o37b3o$56bobo8b3o21b2o6b3o37bo$2bob2o16bob6o22bo3b2o10b2o21bobo3b
2o2bobo36bo$b4o13b2ob3ob2ob3o20b2o3b3o3b2o12b2o13bo3bo3bo4b2o36b2o$bo
3b2o10b2o7b2o23bobo2b2o4bo2bob2o6b2o17b2o7b2o36b2obo$6bo2bo8bo4b3obo3b
2o23b3o3bo3bo10bo6b3o5bo5bo37b2o2b2o2bo$17bo5b2o8bo23bo6bo2bo11b2o2b5o
2b2o4bo7bo30b2o2bo3bo$5b2o3bo4b3o4bo4b3o2bo3bo28b3obo9b4o6b2o5bo5b3o
30bob3o$5b2o3bo2b2o4bob2o9bo4b2o17bobo6b2obo12b5o2b5o2bo5b2o2bo26b3o4b
2o$6bo5bo3b2o15bo4b4o12b3o3bo5bo2bo33bo4b3o4b2o11b3ob2o4bo$6bo6b2o19bo
4b2obo7bo3b2o5b2o3bo9bob3o27bo6bobo9b2o$7b2o27bo3bo2bo4bo2b2o3bo6bo2bo
2bo4b2o9b2o4bo4b2o11bo5bo7bob2o2bo4bo$35b2obobo6b2o2bo5b3ob4obobo4b2o
5bo3bo4bobo3b2obobo10bob2o7b2ob4o5bo$38bobobo4b3obo3bob11o5bobob3o9bo
5bo4bo2b2o7bo2bo6bob8o$40b2o2b2o7b2o22bo2b2o6bo2bo2b2obo3b2obobo2b2obo
bo3b2o11bo$43b2o27b2obobo2b2o6b2o3b2o2bobob2obo2b3o8bo2bo2b3o$44bo21b
2o3bo3bobo2bo2bo2b2o8bo5bob3o2bo4b2obo2b2o$62bo2b3o3bo2b2o4b2obobo4bo
12b2o4bo9bo$55b3o3b3o2b2o2b2o4bo2bob2o4bo2bobobobob3obo6bo$47bo6bo4bo
2bobobo3b2obo5bob2o4b2o2b2ob8obo3bo$46b2o5bo3bobo3b3o4bo3bobobo2b2ob2o
2b2o2b2o5bo3bo10b2o$46bobo3b2obobo6bo6bo4bo11b2o10b3o3bo6b2o$50bo4b3o
15bo7bo3b2ob2o4bo11b2o7bo$49bo7b3o13bo2bob2o5b2o11bobob3obo10b2o$49bo
2bo4b2ob2o7bo4bob2o2b2obo2bobo2b2ob2o6bo2b3o2bo5bo$57bo4b2o6bo5bo2b2o
4bo4bo12b2o2b2obo$53b3o2bob3o5b3o4bo8b2o2b3o6b2o5b2o2bo3bo2bo2bo$50b2o
3bob3o17bo2bo9bobo4bobo3b2o5bo4bo$50bo2b3o23bo12bo4bo6bo7bobobo$50bobo
7b3o37bo13b2o$55b2o3b4o11bo24b2o11b2o$54b3o3bo15bo$55b2o6bo10b3o$54b3o
4b2ob2o$53b2o3bo6b2o$51b2o2bo2bo2bo3b2o$51b3o8bob2o15bo$50bo13bo17bo$
51bo6b2o20b3o$49bo8bobo2b2ob2o$42b3o3b2obo6bo3bo$42bo2b5obo9b3o3bo$43b
2ob2o14bo3bo20bo$42b3o18b3o22bo$35bo29bo20b3o$29bo4b6o25bobo$28b2o4bo
7b2o20bo$28bobo4bo6bo$37bobo2bo21bo28bo$31b2o5bo4bo20b3o27bo$31b2o10b
2o11b3o4bo2bo25b3o$43b2o11bo5b2o$27bob2o26bo4b3o$26b4o29b4o$26bo3b2o
28b2o37bo$31bo2bo65bo$98b3o$29b3o3bo$26b2o3bo$26bo2bobob2o$26bobo34bo
41bo$33bo17b2o9b2o42bo$33bo16b2o3bo6bobo39b3o$8b2o21bo20bob2o15b3o$7b
2o22bobo20b3o5bobo4b2ob2o$9bo21bobo20bo6b2obobobo$11b2o18bo24b3obo6bob
2o40bo$10bo21bo2bo21b2o7bo45bo$35b3o19b2o5b2o44b3o$9bo2bo19b2obobo21b
5o$b2o5b2o22b2o2b2o$2o5bo25b2o$2bo4bobo24bo10b2o6bo63bo$4b2o2bo24bo11b
obo4b2o6bo15b2o40bo$4b2o26b6o7bo6bobo4b2obo13bobo37b3o$8bo22bo3bobo10b
o9b2o2bo13bo$7bobo22bobo13b2o4bo24bo$7bo2bo2b2o35b3o2b2o3bo18b2o$10bob
3o16bo2bo13b2o4bo4bo19b2o42bo$8b2o3bobobo11b2ob2o3b2o4bob2obo7bo21b2o
44bo$12bobo2bo6b2obob2o3bob3o2b2o34b2o43b3o$11b3obobo6b2o3b5o3bo3b2o2b
o29b2o2bo$11bo3b3o4bo6bo4bo9b3obo4bo18bo2b3o$12bo8b7obobob8ob2o2bobo3b
2o17b2o$15b11o3bobob11o2bobo3bobo16bobo55bo$16b2o3bo13b6obo23b3o3bo57b
o$19b2o20b2o11b3o9bo6bo2bo51b3o$40b4o9b3o11bo4bo$39bobob2o10bobo11bob
2o3bo$25b2obo9b3ob3o12b6o5b5o$25bo3bo12bobo12b7obobo10b3o54bo$25bo4bo
11bob2o5b2o10b2o3bobo7bo2b4o51bo$27b2o16bo5bobo13bobo9b7o48b3o$21b3o5b
obo10b3o8b2o25bo6bo$21bo10bo9bo8bo3b2o23b2o5bo$24bo5bo20bobo2bo26bo$
21bo2bo6bob2o16bo3b2o22bo3bo57bo$22bo2bo6b4o18b2o26b3o57bo$23bo3bo8bo
33b2o7b2obobo55b3o$25bo2bo7b2o8b2o22bobo3bobo3b3obo$26bo2bo4b2o3bo9b3o
18bob3o3bob3o3b3o$28b2o4b2obobo7b2ob2o19b2obo5b2o$28b2o2b2o2b2obo7b2ob
2o19b2o4b4o6bo2bo56bo$29bo2b2o37b2o2b3obo8b2o58bo$30b2o2bo10b2o24b2o4b
3o7bo58b3o$31bob2o9bo2bo24bo16b2o2bo$44bobo9bo2bo19b2o8bo3bob2o$32b3o
10bo10bo2bo13b2o5bobobo5b2obobo$55bo3bo20bo2bo6bobo60bo$56b4o23bob2o5b
o2bo58bo$36b3o16bo2b2o22bo2bob2o3b2obo56b3o$36bo2b3o15b3o27bo6b3ob2o$
37bobo17b3o28b3o2bo5b2o$42bo11b2o29b3o2bobobobob3o$40bo12bo2bo34bobo2b
3o60bo$42bobo11bo29b2ob3o4b2o62bo$35b2obo6bo6bo33bo4bob3o62b3o$34b2o3b
o2bo2bo7bobo3b3o32b2o$28b3o4bo2bo2bo3bo13bob2o8b2o18bob2o$28bo6bo2bo2b
o3bo12bo2b2o8b2o18b3o$31bo3bo6bobo13bo2b2o2b2o25b2o71bo$28bo2bo8b2o12b
4o3bo3b3o59bo38bo$29bo2bo6b3o12b7o5b2o58b2o36b3o$30bo5bo3bo12b3o2bo8b
2o57bobo$32bobob2obo14b4o8b3ob2o$34b2o18b3o12bo2bo56b2o$38bo31b2o57b2o
40bo$172bo$35bo2bo88b2o41b3o$126bo2bo$125b2obo$84b2o16b3o16b3o$84b2o
16bo18bo55bo$71b2o32bo11b2o3bo55bo$71b2o29bo2bo10b2o5bob2o49b3o$103bo
2bo11bo5b3o$104bo15bob4o$106bobo2b2o6bo2b2o$96b3o9b2obo2bo3b2o63bo$77b
o17b2o2bo14bobob3o63bo$76bobo15bo4b2o13bobo65b3o$76bobo16b3o3b2o6bobo$
77bo18bob2ob2o$98b2obo$99bo89bo$110bo79bo$84b2o24b2o76b3o$84b2o22b2o2b
o$110b2o$110bo$101b3o91bo$101b3o92bo$90bo9bo3bo89b3o$89bobo9b2o2bo$89b
obo9b4o$90bo12bo$201bo$202bo$200b3o$97b2o$97b2o2$122bo84bo$123bo84bo$
122b3o81b3o$103bo18bo2bo$102bobo17bo2bo$102bobo14b2o4b2o$103bo21bo87bo
$120bo2b2o89bo$120b2o90b3o$144bo25bo25bo55b3o75b3o75b3o$110b2o32b2o24b
2o24b2o56bo77bo77bo$110b2o5b3o23bobo23bobo23bobo55bo77bo77bo$117b3o99b
o$104b3o11bo101bo116bo$104bo113b3o115b2o$107bo228bobo$104bo2bo8bo216bo
$105bo2bo6bobo179bo34b2o5b2o$106bo8bobo178b2o34bobo2bo3bo$108bobo5bo
15bo2bo160bobo38b2o2bo$110b2o19bo4bo198b2o27b2o$111bo24bo162b2o34bo27b
2o$110b2o22b3o162b2o36bo27bo$109b3o11b2o9bobo157b2o18b3o15b3o32b2o$
104b2ob2ob2o11b2o7b2ob2o94bo61b2o2b2o15bo16bo4bo29bo$104bo3bob2o23b2o
95bo9b2o51bo2b2o15bo15bo2bo$104bob3o2bo21b2o95b3o8bo2bo50bob3o6bo10bo
7b2o6bo31bo2bo$109b2o22bo108b2o54b3o4b2o8bob3o4b2o2b3o33b2o$108b3o178b
o15bobo2b2o2b3o7bobo2bo33bo$288b2o19b3o9b3o2bobobo28b2o2bobo$288bobo2b
5o11bobo2b2o5bo37bobo2bo$107b3o182b6o3b2o11bo7b2o31bo3bobo$107b3o138b
2o41bo3b2o3b2o6b3o2bo5b5o6bo23b2o4b2o$248b2o42bo9bo4bo3bob2o3b2o2bo6b
2o11b3o9bobo3b2o$106b2o186b4o9bo3bo3b3o2bobo6bobo3bo6bo16b3o$106bo196b
2ob2obo2b2obobo2bob2o9b2o2bo5bo2b4o7bo3bo$127b2o166b3o4b2o2b2obo3bobob
2ob3o9b2o5b2o4bo5bo4b2o2bo$127b2o168bo4b3o3bobo2bo17bo3bob4o5bo8bo$
297b3o2bobo2bo2b2obo6bo2b2o6bo3bo4bobobob4ob2ob4o$119b2o161b3o12bo2bob
3o3bo6bo3bobob3o4bo3bo2bo18b2o$119bo2b3o157bo22b2o7bo3b2o3bo4bob2obo6b
2obo$119bob5obo147b3o6bo11bobo7b6o6bobob3obobo3bob2ob5ob2o$120bo6b2o
118b3o25bo6bobo10b5obo3b5o7bo5b4o5b5ob2obo3bo$120bo5b3o118b3o26bo4b2ob
4o7bo5b4o13b2o6b2o3bobo12bo$120bo2bo2bo151b4ob5ob2o11bobo26bo12bobo$
123b4o152b2o7b2obo5bobo32bo$113b2obo2bo7bo2bo166b4o$113bob2o2b2obo3bo
2bobo169bo$113bob2o3bo5bo2bobo169bobo$114bo4bo5b2o159bo2bo9bobobo$114b
2o3bo3bobo159bo3bo8b2o$105b2o2bo4b2o6bob3o158bo3bob3o2b2o3bo56b2o$104b
2o4bo2b2o6b4o160bobo3bobo2bo2b3o55b2o$106b2obo2b3o7b2o3b2o162bob2obo6b
o7b2o46bo$108b2o2bo9bobo168b2o5bo9b2o49b2o$115bo6bobo2b2obo159b2ob2o2b
3o3bo7bobo46bo$112bo2bo3b2o6b2obo160bob2o7bo8b2obo$113bo4b2o9bo161bobo
3bo2bo11bob2o3bo36bo2bo2bo$114bo5bo8bobo160b2o2bo3b2o5b2o3bo3b2ob3ob3o
28b3o2bo$125b2o2bobo165bo2bob2o3bo2bobo8bo32bo3bo2bo$125bo171b2ob2o5bo
12b2o3bo28bo5bo$125bo174bo3bo3b2o4b3o32b2obobo$127b3o157b2o9bobo7bo3bo
6bo14bo13b2o$127b6o153b2o6b3o3bobobo5bobo20b2o14bobob3o$127bo153b2o5bo
2b2ob4o2b3ob3o3bobo20bobo10b3o3bo2bobo$127b2o3bo147bo2bo6b2o2bo3bob3o
2b2o6bo23bo8bo2bo$127b2o2bo149b2o7b3o2b2ob3o34bo2bo7bobo$128b3o2b3o
160bo5bo21b2o8b2o15b2o$130bo4bobo154b6obo15bo7b2o9b2o3bo7bobo2b2o$130b
4obobo153b2obo4bobob2o9b2o9bo4b2o2b4o8b2ob5o$130b4obobo155bo2bo2bo3bo
10bobo10bob3o2b2obo7bob2o2bo$133bo153b2o4bo4bob3o19bo3b2o2bo2b3o2bo5b
2o$279bo7b2o6bob2ob2o4b3o8bob3obo3bobo4b2o9bob2o$280bo14b3o3bo4b3obo5b
3obo5b2o$278b3o15b2o2bobo3bobo2b2o5bobo4b2o15b3o$301b2obo3bo3bob2obo2b
ob3ob2o2b3o8bo2bo$302b7o4b3obob2o6bob3o2bo2b2ob2o$304b2o3bo4bob2o4b2o
3b3o5b2ob2obobo$309bo4bobo4bobo3b2o3bo5b2o$309bobo2bobo2b2ob2o10b2o2b
2o$289b2o20bob2o4b2ob3o8bo$288bo2bo19b3o2b4o4bo8b2o4bo$289b2o22bobo3bo
4b3o6b2o$318bo6b2o2$324bo$324b3o13b2o$326bo12b2obo$340bo$326b2ob2o9bo
2bo$328b2obo8bo3bo$328b2obo8bo2bo2$329bobo$294b2o35bo3b2obo2b3o$294bo
2b3o31bo3bob2o2bo2b3o$294bob5obo32bob2o6b2o$295bo6b2o32bo$295bo5b3o32b
2o$295bo2bo2bo34b2o$298b4o26b2obo3b3o7b2o$288b2obo2bo7bo2bo22bo3bo2bo
2bo5b2o$288bob2o2b2obo3bo2bobo21bo4bo4b2o5b2o$288bob2o3bo5bo2bobo23bob
o2bo2bo3b3o$289bo4bo5b2o28b2ob4o3bob3o$289b2o3bo3bobo29b2obobo$280b2o
2bo4b2o6bob3o27bobo6b2o8b2o$279b2o4bo2b2o6b4o29bo2bobobobo9bo2b3o$281b
2obo2b3o7b2o3b2o30bo3b4o6bob4o$283b2o2bo9bobo29b2o3bo3bob2o2b2o3bo3bob
o$290bo6bobo2b2obo20b2o3bo11b2o2bo9bo$287bo2bo3b2o6b2obo20b2o7b2o7b4o
7b3o$288bo4b2o9bo30b2o9bo4b7obo$289bo5bo8bobo44bo$300b2o2bobo45bo2bo3b
o$300bo54bo3bo$300bo54bo2bo$302b3o$302b6o48bobo$302bo54bo$302b2o3bo$
302b2o2bo$303b3o2b3o$305bo4bobo$305b4obobo$305b4obobo$308bo!
