B34kz5e7c8/S23-a4ityz5k

[DroneBetter]

c/2 siderake of xq26_1rmc (the 10c/26 spaceship)/72 cells (144 iterations).

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x = 148, y = 41, rule = B34kz5e7c8/S23-a4ityz5k
60b2o$60bobo$62bo$60b3o$59bo$35b2o7bo$35b3o7b3o$35bob2o8bo88bo$35bobo
7bobo87b3o$35b2o8b2o88b2obo$26bo110b2o$27b3o106b2o$29bo27bo26bo18bo25b
o5bo9b3o$27bobo27bo26bo18bo10b3o12bo5bo3bo7bo$27b2o28bo26bo17bo26bo14b
o2bo$137b3o4b3o$102bo2b3o32b2o$54bo48b3ob3o$54bo48bo$o53bo17bo17b2o$o
25bo2bo42bo17bobo$o24bo46bo18b2o18b3o$25bobo83b3o21bo2bo5bo$25b4o54bo
20bo2b2o3bo22b4o6bo$83bo18b2obo2b2o17b2o6bo6bo2bo$83bo18bo2bo2bo18b3o
7bo6b2o$102bo23bo2bo$103bo2bo20b2o10b2ob2o$33b2o70bo21bo2bo$33bobo91bo
2bo$35bo92bo$33b3o35bo$32bo38bo$71bo3$41b2o$41bobo$43bo$41b3o$40bo!

Based on yl1872_2_1171_9131d187da1d805154cb67f72d6241e9, this is the highest-period naturally-occurring linear growth pattern by a factor of 8.666... times and the lowest common multiple of 26 (that of its emitted spaceship) and 144 (the period at which it emits them downwards and the LWSSs upwards (destroyed by a xq8_1qie) and leftwards (destroys itself and a blinker in the natural occurrence, I decided to leave it in)). The natural occurrence, like the yl144s and the zz_QUADRATIC, is rare because it's based on an interaction between two blinker-puffers' sparks, not only one's spark with another's blinker trail.

[yujh]

This rule is omniperiodic, thanks to some help from Drone_Better pointing out some important parts for the adjustable oscillators in this rule and inspiring me.

Edit by Sokwe: the construction below isn't quite a proof, as pointed out by actinophrys. However, the proof can be corrected as shown here.

Here is the thing.
On January 29th Drone_Better messaged me this thing:

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x = 22, y = 22, rule = B34kz5e7c8/S23-a4ityz5k
13bobo$13b3o2$13b3o$12bo3bo$12bob2obo$10b2obo2bobob2o$4bo5bobo3bobobo$
3bobo2b2obo3bo2bob2o$3bobo2bobo3bob2o$b2obob2obo3bobo$obobobobo3bob2o$
bo3bobo3bobo$6bo3bob2o$9bobo$8bob2o$9bo2b2o$10b2o2bo$12b2o$10b2o$9bobo
$10bo!

So my first reaction is that it can be reduced:

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x = 15, y = 15, rule = B34kz5e7c8/S23-a4ityz5k
8bo$8b3o$6b2o3bo$7bob2obo$6bobo2bobo$5bobo3bobo$4bobo3bo2b2o$3bobo3bob
2o$2bobo3bobobo$bobo3bobo$obo3bobo$bo3bobo$4bobo$3bobo$4bo!

It is actually a clever design that allow a cell to function as on and stay always on.

They also told me that it was Rule150, which I am unaware of (It didn't actually help)

They had a script that brute force through all possible periods, and I noticed putting no cells (except the always on end) gives the largest possible period of a specific length. This might not be true, it's just my personal assumption.
Well, according to OEIS we did nothing. This was done in 2011: http://oeis.org/A085595

I put these in a list:

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1		1
2		2
3		1
4		4
5		6
6		2
7		14
8		8
9		14
10		12
11		62
12		4
13		42
14		28
15		30
16		16
17		30
18		28
19		1022
20		24
21		126

(e.g. 7 14 is basically x = 8, y = 2, rule = B3r4ai/S1e2aei3aeir4ir5i o5bo$8o! this is a rule I used for easier analysis)

I found that if the first value is 2^n-1, the second value, the period, will be double the former. I noticed this because of the B2cS2c family of oscillators.

While trying to do something, I found this thing:

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x = 32, y = 22, rule = B3r4ai/S1e2aei3aeir4ir5i
o3b3o$8o9$o7b7o$16o9$o15b15o$32o!

This mechanism halves the period.

And the other part, getting rid of other prime factors, went very luckily because of the B2c/S2c inspiration.
Say you have a x = 16, y = 2, rule = B3r4ai/S1e2aei3aeir4ir5i o7b7o$16o! , which is p15. Now you want to make it p5. What you will have to do is just copy the cells in the first row, run 5 generations, paste it using xor mode, and another 5 gens, and then paste it. Then you are done. just like this:

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x = 46, y = 22, rule = B3r4ai/S1e2aei3aeir4ir5i
o7b7o$16o9$2o2bobobobob2o17bo2bobo2bobo2bo$16o14b16o8$30bob2o3bob3o2bo
$2b2o3b2o3b2o16b16o$16o!

Simmilarly, the rule is missing a p13. Doing this manually is too hard, but thanks to Freywa asking for the B2cS2c oscillators, I have the script modified and here is the thing I need to put into this rule. It will take some time before I can write the script, but this is the p13

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x = 4096, y = 2, rule = B3r4ai/S1e2aei3aeir4ir5i
2o3b2ob2ob5o3b2o2bobob2o2bobo2b2o6b2obo2b2o2b3o4b2ob4obo2bob2o6bo2b3ob
5obobob6o2b5obob2o2b4ob3ob2o2bobo4bobo3bo2bobob2ob2obo3bob2o3bo7bobob
3obo5b3obobo3b3o3b4obobobo2b2ob2ob2ob2obo2b2o2bobo6bo2bob5o2bo4bo2b4o
2bobo3b2o2bo9bo6bo4b2o6b3o3b2o2bo2bo2bobo4b3ob2obob2obob2ob2obobo2bobo
3b2obo4bob6obob3o5bob3ob5o2b2ob4o2b4o2bo2b2o3bo8b5o6b3obo2b2o4bo2b2o2b
obobobo2bo4b4ob3o2bo4bob2ob2o4b2o2bo2bobo4b4o5b3ob2o2bobo2bo3bobo4b3ob
3obob2ob2o2bo2b2obobo6b3obob2obo2bobobo2b3ob2o4bob2o4bob2obo4bob3ob5ob
ob4o2bob3obo2b2o2bo4b4ob3ob2o5bobob2o4bo3b2o3b2o4b4o3bobobob2o3bobob3o
bo2b2o2bo2b2obob2o7bob6obo2b3o5bobob4o2bobo7b4o2bob7obo3b2o3b2ob3ob2ob
o2bobobo2bobo2b4obo2bob3o3bo2b4o5bob2obo2bo3bo3b2o3bo4b2ob2obobob2o3b
2ob2o3b2obo4b3o2bob2ob2o2bo2bo3b2o2bobo3bo3bob3o2bo5b2o3bo2b5o7bobobob
o4b2ob3o3bo3b4ob3obob3obobob5o2bobob3o3b3obo7bo5b2obob3ob2obobo2b2obo
2b4ob2ob4obo3b4obo3bo2bobobob4obo4b2o5bo4b5o3b8o4bo2bo2b2obo2bob2ob2ob
3o3b4ob4ob2o5b2ob2ob4o7b3o2b5obobobo2b2o2b2ob3o2bo2bob2ob2o2b4o3bob2ob
4o2bo2bob3ob5ob2o2bobo2bo2bob2obob2ob2o3bo2bob2o4b2o2b2o4bobo2b2ob8obo
bo2bo2bobob3obo4b4o3b3ob4ob7o4bo4bo2b2o2bobob4o2b2o2bo2b3o2b2o2b4o4bob
o3bo3bob2o3b2obo2b4ob2o2b2ob3ob2ob6obob4o3b2o2b2ob2obo3bobo3b2o4b3obo
2b2ob3o4bo3b2o2bo2bobob2ob2ob3o2b4o4b2o2bobobob2o3b2o3bo4bo6b5obobobob
2ob2o2bob2o2b2o2bo2b2o3b3obo2b2obo3b2o9bobo5bo2bobo2b6o2b2o4b2o3bobobo
2bobo3bobo2b2ob2o2bob3o4bobo2b2o3bo4bobo2b2ob2ob2o2b3o4b4obobo2b9obo3b
o2b2o6bobo2bobobobo4b2o3b2ob5ob3obo11bob2ob2obob3o2b2ob4o3bobo2bob6ob
6ob2obo3bo2bobo2bo3b3o2b6obo2bo4b2o2bobo3b4obo2bob2o3bo3bob5ob4o2b3o2b
o3b2ob3o3b3o3b3o3b3o3bo2b3ob2o3b2o4bo5bob3ob3o2bob2obo4b3obob2o2b4ob2o
bo6b2o3b3ob2obob2ob3obo2bo6bo6bob2obob3o4bo2b2o3bobo2bo2bob11obo3bo5bo
2b3o2b4obobobob2obob6o2b2ob3obo9b2obobo4b4o3b2o2bo2bo2b2obob4ob3o2b2ob
ob4o3bob2o2bo2b2obob3obob2obobob3o2b4o2b2o6b2obob2ob5obob9o2b3obo2b2ob
o3b3o2b2ob2o2b2o2bob2o2bo2bobobobo5b6ob4ob3o2b3o2bobobob2o2b4o4b2o3bo
2bo2bobob2ob2o2b3ob4o3bo2b2obo3b4o2b3obob3obo2bo2b2o2b3o4bobo6bo2bo3bo
2b2o2bo4b2obo2b3o2bob3ob3obob4o4b2o2b2o3b2ob2o2b2o4bobob2o2b2ob4ob4o7b
o4bo3b3o4b4obo3bobob2ob2obobo8bo2b2obob4o2b2o2b4o2bob2ob3o2bo2bobo2bob
2ob2obob2o2bo5bo3bob2ob2o4bo2bob3o4b2o2bo2bob2ob2o3bo2b2o2b2obobobo5b
2o3b7o4bo2bo2b5o2bo4bo4b3o3bo2bo2bob2obo2b2ob2ob4o8b3o5b4ob5o2b4obo4bo
bobob2ob3obo4b3obo4bo2bo4b2obo2b2obobo2bo3bobo2b5ob7obo3b3o3bobob2o5bo
bobo3bobo3bo4b3ob3o3bo2b4obobobob7o5b2ob3o2b5ob2o3bob3ob3obob2o2b3ob2o
b2o2bo2bob2o3b4obo2b3o2bo2b3o2bobobo2bo2b4ob3o2b3ob3ob2obo2bob5o4b2ob
3o3bob2obo4b2obob2obobob2obo2bo3bo2b3o2b3obo7bob2o4b7obob2o4bobob5o3b
2obo6bob7o2bobo2b2ob2o2b2obo3bobob3o2bobobob3o4b4o2b3o2b3ob4o2bobob5o
2bo3bo4b4ob2o2b2obo3bob2o4bobo5bo3bob4obo2bob4o2bob4o2bo3b2obobob2obo
2bobo3b6obobo2b2ob2o2bo2bobo3bo3b4obob3ob2obob2o2bo3b5o4b4obob2ob2o2b
4o2bo2bob4ob2o3bo4b4ob2obobobob2o2b2ob4o2b2obo3b6o5b8ob3o2b2ob2o4b2o4b
o2b2o5bo3bob5o3bobo6bob4obo2b3obob2obobo2bo2bobo2bobo2bo3b4obob2ob2ob
2o2b3o3b6o2b4ob6ob9ob2o2b3obob2o4b2ob4ob2o5bob2ob6obob2o2b2obo2bo2bo2b
o2b2obobobo4b3o3b3obobo3b5obo3bobob7ob3o2bob3obo2bo2bobob2ob3obob4obob
2o2bo3bo4b2o2bobo5b2o6bobobo5bo3b2ob6o2bob2obo4bo2b4o3b2o2b2obo2b6o2b
2obob2o2bobob2o2b3o5bo2bo2b3o$4096o!

Edit: oops, wait, I didn't talk about doubling the period.
Say you have this, a p14

Code: Select all

x = 8, y = 2, rule = B3r4ai/S1e2aei3aeir4ir5i
o$8o!

Now you make it like this,

Code: Select all

x = 15, y = 2, rule = B3r4ai/S1e2aei3aeir4ir5i
o$15o!

, Done. I think this is very obvious.

Edit2: Here's the p13

Code: Select all

x = 4101, y = 4101, rule = B34kz5e7c8/S23-a4ityz5k
6bo$4b3o$3bo3b2o$2bob2obo$bobob2obo$bob2o2bobo$2o2bo3bobo$2b2obo3bobo$
2bobobo2b2obo$5bob2ob2obo$6bob2o2bobo$7bobo2b2obo$8bob2ob2obo$9bob2o2b
obo$10bobo2b2obo$11bob2ob2obo$12bob2ob2obo$13bob2ob2obo$14bob2ob2obo$
15bob2o2bobo$16bobo3bobo$17bobo3bobo$18bobo2b2obo$19bob2ob2obo$20bob2o
2bobo$21bobo3bobo$22bobo2b2obo$23bob2o2bobo$24bobo2b2obo$25bob2o2bobo$
26bobo2b2obo$27bob2ob2obo$28bob2o2bobo$29bobo3bobo$30bobo2b2obo$31bob
2o2bobo$32bobo2b2obo$33bob2o2bobo$34bobo3bobo$35bobo2b2obo$36bob2ob2ob
o$37bob2o2bobo$38bobo3bobo$39bobo3bobo$40bobo3bobo$41bobo3bobo$42bobo
3bobo$43bobo2b2obo$44bob2ob2obo$45bob2o2bobo$46bobo2b2obo$47bob2o2bobo
$48bobo3bobo$49bobo2b2obo$50bob2ob2obo$51bob2o2bobo$52bobo3bobo$53bobo
2b2obo$54bob2ob2obo$55bob2ob2obo$56bob2o2bobo$57bobo3bobo$58bobo3bobo$
59bobo3bobo$60bobo2b2obo$61bob2ob2obo$62bob2o2bobo$63bobo2b2obo$64bob
2ob2obo$65bob2ob2obo$66bob2ob2obo$67bob2o2bobo$68bobo2b2obo$69bob2o2bo
bo$70bobo3bobo$71bobo2b2obo$72bob2o2bobo$73bobo2b2obo$74bob2ob2obo$75b
ob2o2bobo$76bobo3bobo$77bobo3bobo$78bobo3bobo$79bobo3bobo$80bobo3bobo$
81bobo2b2obo$82bob2o2bobo$83bobo3bobo$84bobo2b2obo$85bob2ob2obo$86bob
2ob2obo$87bob2o2bobo$88bobo2b2obo$89bob2ob2obo$90bob2ob2obo$91bob2ob2o
bo$92bob2ob2obo$93bob2o2bobo$94bobo2b2obo$95bob2o2bobo$96bobo2b2obo$
97bob2o2bobo$98bobo2b2obo$99bob2ob2obo$100bob2ob2obo$101bob2ob2obo$
102bob2ob2obo$103bob2ob2obo$104bob2o2bobo$105bobo3bobo$106bobo2b2obo$
107bob2ob2obo$108bob2ob2obo$109bob2ob2obo$110bob2ob2obo$111bob2o2bobo$
112bobo2b2obo$113bob2o2bobo$114bobo2b2obo$115bob2ob2obo$116bob2o2bobo$
117bobo3bobo$118bobo2b2obo$119bob2ob2obo$120bob2ob2obo$121bob2ob2obo$
122bob2o2bobo$123bobo2b2obo$124bob2ob2obo$125bob2ob2obo$126bob2o2bobo$
127bobo2b2obo$128bob2ob2obo$129bob2o2bobo$130bobo3bobo$131bobo2b2obo$
132bob2o2bobo$133bobo2b2obo$134bob2o2bobo$135bobo3bobo$136bobo3bobo$
137bobo3bobo$138bobo2b2obo$139bob2o2bobo$140bobo2b2obo$141bob2o2bobo$
142bobo3bobo$143bobo3bobo$144bobo2b2obo$145bob2o2bobo$146bobo3bobo$
147bobo2b2obo$148bob2o2bobo$149bobo2b2obo$150bob2o2bobo$151bobo2b2obo$
152bob2ob2obo$153bob2o2bobo$154bobo2b2obo$155bob2ob2obo$156bob2o2bobo$
157bobo2b2obo$158bob2o2bobo$159bobo3bobo$160bobo3bobo$161bobo2b2obo$
162bob2o2bobo$163bobo2b2obo$164bob2ob2obo$165bob2o2bobo$166bobo3bobo$
167bobo3bobo$168bobo2b2obo$169bob2o2bobo$170bobo3bobo$171bobo3bobo$
172bobo3bobo$173bobo3bobo$174bobo3bobo$175bobo3bobo$176bobo2b2obo$177b
ob2o2bobo$178bobo2b2obo$179bob2o2bobo$180bobo2b2obo$181bob2ob2obo$182b
ob2ob2obo$183bob2o2bobo$184bobo2b2obo$185bob2o2bobo$186bobo3bobo$187bo
bo3bobo$188bobo3bobo$189bobo3bobo$190bobo2b2obo$191bob2ob2obo$192bob2o
b2obo$193bob2o2bobo$194bobo2b2obo$195bob2o2bobo$196bobo2b2obo$197bob2o
2bobo$198bobo3bobo$199bobo3bobo$200bobo2b2obo$201bob2ob2obo$202bob2ob
2obo$203bob2o2bobo$204bobo3bobo$205bobo3bobo$206bobo2b2obo$207bob2ob2o
bo$208bob2ob2obo$209bob2ob2obo$210bob2o2bobo$211bobo2b2obo$212bob2o2bo
bo$213bobo2b2obo$214bob2o2bobo$215bobo2b2obo$216bob2o2bobo$217bobo3bob
o$218bobo2b2obo$219bob2ob2obo$220bob2o2bobo$221bobo2b2obo$222bob2ob2ob
o$223bob2o2bobo$224bobo2b2obo$225bob2ob2obo$226bob2o2bobo$227bobo2b2ob
o$228bob2ob2obo$229bob2o2bobo$230bobo2b2obo$231bob2o2bobo$232bobo3bobo
$233bobo2b2obo$234bob2ob2obo$235bob2o2bobo$236bobo3bobo$237bobo2b2obo$
238bob2o2bobo$239bobo2b2obo$240bob2o2bobo$241bobo3bobo$242bobo3bobo$
243bobo3bobo$244bobo3bobo$245bobo3bobo$246bobo2b2obo$247bob2o2bobo$
248bobo3bobo$249bobo2b2obo$250bob2o2bobo$251bobo2b2obo$252bob2ob2obo$
253bob2ob2obo$254bob2ob2obo$255bob2ob2obo$256bob2o2bobo$257bobo3bobo$
258bobo2b2obo$259bob2o2bobo$260bobo3bobo$261bobo3bobo$262bobo3bobo$
263bobo2b2obo$264bob2o2bobo$265bobo3bobo$266bobo2b2obo$267bob2ob2obo$
268bob2ob2obo$269bob2ob2obo$270bob2o2bobo$271bobo3bobo$272bobo2b2obo$
273bob2o2bobo$274bobo2b2obo$275bob2o2bobo$276bobo3bobo$277bobo3bobo$
278bobo2b2obo$279bob2ob2obo$280bob2o2bobo$281bobo3bobo$282bobo2b2obo$
283bob2o2bobo$284bobo3bobo$285bobo3bobo$286bobo3bobo$287bobo3bobo$288b
obo3bobo$289bobo3bobo$290bobo3bobo$291bobo3bobo$292bobo2b2obo$293bob2o
2bobo$294bobo3bobo$295bobo3bobo$296bobo3bobo$297bobo3bobo$298bobo3bobo
$299bobo2b2obo$300bob2o2bobo$301bobo3bobo$302bobo3bobo$303bobo3bobo$
304bobo2b2obo$305bob2ob2obo$306bob2o2bobo$307bobo3bobo$308bobo3bobo$
309bobo3bobo$310bobo3bobo$311bobo3bobo$312bobo2b2obo$313bob2ob2obo$
314bob2ob2obo$315bob2o2bobo$316bobo3bobo$317bobo3bobo$318bobo2b2obo$
319bob2ob2obo$320bob2o2bobo$321bobo3bobo$322bobo2b2obo$323bob2o2bobo$
324bobo3bobo$325bobo2b2obo$326bob2o2bobo$327bobo3bobo$328bobo2b2obo$
329bob2o2bobo$330bobo2b2obo$331bob2o2bobo$332bobo3bobo$333bobo3bobo$
334bobo3bobo$335bobo2b2obo$336bob2ob2obo$337bob2ob2obo$338bob2o2bobo$
339bobo2b2obo$340bob2ob2obo$341bob2o2bobo$342bobo2b2obo$343bob2o2bobo$
344bobo2b2obo$345bob2ob2obo$346bob2o2bobo$347bobo2b2obo$348bob2o2bobo$
349bobo2b2obo$350bob2ob2obo$351bob2o2bobo$352bobo2b2obo$353bob2ob2obo$
354bob2o2bobo$355bobo2b2obo$356bob2o2bobo$357bobo2b2obo$358bob2o2bobo$
359bobo3bobo$360bobo2b2obo$361bob2o2bobo$362bobo2b2obo$363bob2o2bobo$
364bobo3bobo$365bobo3bobo$366bobo2b2obo$367bob2ob2obo$368bob2o2bobo$
369bobo2b2obo$370bob2o2bobo$371bobo3bobo$372bobo3bobo$373bobo3bobo$
374bobo2b2obo$375bob2o2bobo$376bobo2b2obo$377bob2ob2obo$378bob2ob2obo$
379bob2ob2obo$380bob2ob2obo$381bob2ob2obo$382bob2o2bobo$383bobo2b2obo$
384bob2o2bobo$385bobo2b2obo$386bob2ob2obo$387bob2ob2obo$388bob2o2bobo$
389bobo3bobo$390bobo3bobo$391bobo3bobo$392bobo3bobo$393bobo2b2obo$394b
ob2o2bobo$395bobo2b2obo$396bob2ob2obo$397bob2ob2obo$398bob2o2bobo$399b
obo2b2obo$400bob2ob2obo$401bob2ob2obo$402bob2ob2obo$403bob2ob2obo$404b
ob2o2bobo$405bobo3bobo$406bobo2b2obo$407bob2ob2obo$408bob2o2bobo$409bo
bo2b2obo$410bob2ob2obo$411bob2ob2obo$412bob2ob2obo$413bob2o2bobo$414bo
bo3bobo$415bobo2b2obo$416bob2ob2obo$417bob2ob2obo$418bob2ob2obo$419bob
2o2bobo$420bobo3bobo$421bobo2b2obo$422bob2o2bobo$423bobo3bobo$424bobo
2b2obo$425bob2ob2obo$426bob2o2bobo$427bobo3bobo$428bobo3bobo$429bobo2b
2obo$430bob2o2bobo$431bobo3bobo$432bobo3bobo$433bobo3bobo$434bobo3bobo
$435bobo3bobo$436bobo3bobo$437bobo3bobo$438bobo2b2obo$439bob2ob2obo$
440bob2ob2obo$441bob2ob2obo$442bob2ob2obo$443bob2o2bobo$444bobo3bobo$
445bobo3bobo$446bobo3bobo$447bobo3bobo$448bobo3bobo$449bobo2b2obo$450b
ob2ob2obo$451bob2ob2obo$452bob2o2bobo$453bobo2b2obo$454bob2o2bobo$455b
obo3bobo$456bobo2b2obo$457bob2ob2obo$458bob2o2bobo$459bobo3bobo$460bob
o3bobo$461bobo3bobo$462bobo2b2obo$463bob2o2bobo$464bobo3bobo$465bobo2b
2obo$466bob2ob2obo$467bob2o2bobo$468bobo3bobo$469bobo2b2obo$470bob2o2b
obo$471bobo2b2obo$472bob2o2bobo$473bobo2b2obo$474bob2o2bobo$475bobo2b
2obo$476bob2o2bobo$477bobo3bobo$478bobo2b2obo$479bob2o2bobo$480bobo3bo
bo$481bobo3bobo$482bobo3bobo$483bobo2b2obo$484bob2ob2obo$485bob2ob2obo
$486bob2ob2obo$487bob2o2bobo$488bobo2b2obo$489bob2ob2obo$490bob2ob2obo
$491bob2o2bobo$492bobo3bobo$493bobo2b2obo$494bob2o2bobo$495bobo3bobo$
496bobo3bobo$497bobo3bobo$498bobo2b2obo$499bob2o2bobo$500bobo2b2obo$
501bob2ob2obo$502bob2o2bobo$503bobo2b2obo$504bob2ob2obo$505bob2o2bobo$
506bobo3bobo$507bobo3bobo$508bobo3bobo$509bobo2b2obo$510bob2ob2obo$
511bob2o2bobo$512bobo3bobo$513bobo2b2obo$514bob2o2bobo$515bobo3bobo$
516bobo2b2obo$517bob2o2bobo$518bobo2b2obo$519bob2o2bobo$520bobo3bobo$
521bobo3bobo$522bobo3bobo$523bobo2b2obo$524bob2ob2obo$525bob2ob2obo$
526bob2ob2obo$527bob2o2bobo$528bobo3bobo$529bobo3bobo$530bobo3bobo$
531bobo3bobo$532bobo2b2obo$533bob2ob2obo$534bob2ob2obo$535bob2o2bobo$
536bobo2b2obo$537bob2ob2obo$538bob2o2bobo$539bobo3bobo$540bobo2b2obo$
541bob2o2bobo$542bobo2b2obo$543bob2o2bobo$544bobo3bobo$545bobo2b2obo$
546bob2o2bobo$547bobo3bobo$548bobo3bobo$549bobo2b2obo$550bob2o2bobo$
551bobo2b2obo$552bob2o2bobo$553bobo3bobo$554bobo3bobo$555bobo3bobo$
556bobo2b2obo$557bob2ob2obo$558bob2ob2obo$559bob2o2bobo$560bobo2b2obo$
561bob2ob2obo$562bob2ob2obo$563bob2o2bobo$564bobo2b2obo$565bob2o2bobo$
566bobo2b2obo$567bob2ob2obo$568bob2o2bobo$569bobo2b2obo$570bob2ob2obo$
571bob2o2bobo$572bobo3bobo$573bobo2b2obo$574bob2o2bobo$575bobo3bobo$
576bobo2b2obo$577bob2ob2obo$578bob2o2bobo$579bobo2b2obo$580bob2o2bobo$
581bobo2b2obo$582bob2o2bobo$583bobo3bobo$584bobo3bobo$585bobo3bobo$
586bobo3bobo$587bobo3bobo$588bobo2b2obo$589bob2ob2obo$590bob2ob2obo$
591bob2o2bobo$592bobo2b2obo$593bob2o2bobo$594bobo2b2obo$595bob2ob2obo$
596bob2o2bobo$597bobo2b2obo$598bob2o2bobo$599bobo3bobo$600bobo2b2obo$
601bob2o2bobo$602bobo2b2obo$603bob2o2bobo$604bobo2b2obo$605bob2o2bobo$
606bobo3bobo$607bobo2b2obo$608bob2ob2obo$609bob2ob2obo$610bob2o2bobo$
611bobo2b2obo$612bob2ob2obo$613bob2o2bobo$614bobo3bobo$615bobo3bobo$
616bobo3bobo$617bobo2b2obo$618bob2o2bobo$619bobo2b2obo$620bob2ob2obo$
621bob2o2bobo$622bobo3bobo$623bobo3bobo$624bobo3bobo$625bobo2b2obo$
626bob2o2bobo$627bobo2b2obo$628bob2ob2obo$629bob2o2bobo$630bobo2b2obo$
631bob2o2bobo$632bobo3bobo$633bobo3bobo$634bobo3bobo$635bobo2b2obo$
636bob2o2bobo$637bobo2b2obo$638bob2ob2obo$639bob2ob2obo$640bob2o2bobo$
641bobo2b2obo$642bob2ob2obo$643bob2ob2obo$644bob2ob2obo$645bob2ob2obo$
646bob2o2bobo$647bobo2b2obo$648bob2o2bobo$649bobo2b2obo$650bob2ob2obo$
651bob2ob2obo$652bob2ob2obo$653bob2o2bobo$654bobo3bobo$655bobo2b2obo$
656bob2o2bobo$657bobo2b2obo$658bob2ob2obo$659bob2ob2obo$660bob2o2bobo$
661bobo2b2obo$662bob2o2bobo$663bobo3bobo$664bobo2b2obo$665bob2ob2obo$
666bob2o2bobo$667bobo3bobo$668bobo2b2obo$669bob2o2bobo$670bobo3bobo$
671bobo3bobo$672bobo3bobo$673bobo2b2obo$674bob2ob2obo$675bob2ob2obo$
676bob2ob2obo$677bob2o2bobo$678bobo2b2obo$679bob2ob2obo$680bob2ob2obo$
681bob2o2bobo$682bobo2b2obo$683bob2ob2obo$684bob2o2bobo$685bobo3bobo$
686bobo3bobo$687bobo3bobo$688bobo3bobo$689bobo2b2obo$690bob2o2bobo$
691bobo2b2obo$692bob2o2bobo$693bobo2b2obo$694bob2ob2obo$695bob2o2bobo$
696bobo3bobo$697bobo3bobo$698bobo3bobo$699bobo2b2obo$700bob2o2bobo$
701bobo3bobo$702bobo3bobo$703bobo2b2obo$704bob2ob2obo$705bob2o2bobo$
706bobo3bobo$707bobo3bobo$708bobo2b2obo$709bob2ob2obo$710bob2o2bobo$
711bobo3bobo$712bobo3bobo$713bobo3bobo$714bobo2b2obo$715bob2ob2obo$
716bob2ob2obo$717bob2ob2obo$718bob2o2bobo$719bobo3bobo$720bobo3bobo$
721bobo2b2obo$722bob2o2bobo$723bobo2b2obo$724bob2o2bobo$725bobo2b2obo$
726bob2o2bobo$727bobo2b2obo$728bob2ob2obo$729bob2o2bobo$730bobo3bobo$
731bobo3bobo$732bobo2b2obo$733bob2o2bobo$734bobo2b2obo$735bob2o2bobo$
736bobo2b2obo$737bob2ob2obo$738bob2ob2obo$739bob2o2bobo$740bobo2b2obo$
741bob2o2bobo$742bobo3bobo$743bobo2b2obo$744bob2ob2obo$745bob2o2bobo$
746bobo3bobo$747bobo2b2obo$748bob2o2bobo$749bobo3bobo$750bobo2b2obo$
751bob2ob2obo$752bob2o2bobo$753bobo2b2obo$754bob2o2bobo$755bobo2b2obo$
756bob2ob2obo$757bob2o2bobo$758bobo3bobo$759bobo3bobo$760bobo3bobo$
761bobo3bobo$762bobo3bobo$763bobo3bobo$764bobo2b2obo$765bob2o2bobo$
766bobo2b2obo$767bob2ob2obo$768bob2ob2obo$769bob2ob2obo$770bob2ob2obo$
771bob2ob2obo$772bob2o2bobo$773bobo2b2obo$774bob2o2bobo$775bobo3bobo$
776bobo2b2obo$777bob2ob2obo$778bob2ob2obo$779bob2o2bobo$780bobo3bobo$
781bobo3bobo$782bobo3bobo$783bobo3bobo$784bobo2b2obo$785bob2o2bobo$
786bobo2b2obo$787bob2o2bobo$788bobo2b2obo$789bob2ob2obo$790bob2ob2obo$
791bob2ob2obo$792bob2o2bobo$793bobo3bobo$794bobo2b2obo$795bob2o2bobo$
796bobo2b2obo$797bob2o2bobo$798bobo3bobo$799bobo3bobo$800bobo3bobo$
801bobo3bobo$802bobo3bobo$803bobo3bobo$804bobo2b2obo$805bob2ob2obo$
806bob2ob2obo$807bob2ob2obo$808bob2o2bobo$809bobo3bobo$810bobo2b2obo$
811bob2o2bobo$812bobo2b2obo$813bob2ob2obo$814bob2ob2obo$815bob2ob2obo$
816bob2ob2obo$817bob2ob2obo$818bob2ob2obo$819bob2o2bobo$820bobo2b2obo$
821bob2o2bobo$822bobo3bobo$823bobo3bobo$824bobo2b2obo$825bob2ob2obo$
826bob2o2bobo$827bobo3bobo$828bobo3bobo$829bobo2b2obo$830bob2ob2obo$
831bob2o2bobo$832bobo2b2obo$833bob2ob2obo$834bob2ob2obo$835bob2o2bobo$
836bobo2b2obo$837bob2ob2obo$838bob2o2bobo$839bobo2b2obo$840bob2o2bobo$
841bobo3bobo$842bobo2b2obo$843bob2o2bobo$844bobo2b2obo$845bob2o2bobo$
846bobo2b2obo$847bob2o2bobo$848bobo3bobo$849bobo2b2obo$850bob2o2bobo$
851bobo2b2obo$852bob2o2bobo$853bobo3bobo$854bobo2b2obo$855bob2ob2obo$
856bob2ob2obo$857bob2ob2obo$858bob2o2bobo$859bobo2b2obo$860bob2o2bobo$
861bobo3bobo$862bobo2b2obo$863bob2o2bobo$864bobo2b2obo$865bob2ob2obo$
866bob2ob2obo$867bob2o2bobo$868bobo3bobo$869bobo3bobo$870bobo2b2obo$
871bob2o2bobo$872bobo3bobo$873bobo2b2obo$874bob2ob2obo$875bob2ob2obo$
876bob2ob2obo$877bob2o2bobo$878bobo3bobo$879bobo3bobo$880bobo3bobo$
881bobo3bobo$882bobo2b2obo$883bob2o2bobo$884bobo2b2obo$885bob2ob2obo$
886bob2o2bobo$887bobo2b2obo$888bob2o2bobo$889bobo3bobo$890bobo2b2obo$
891bob2o2bobo$892bobo3bobo$893bobo3bobo$894bobo2b2obo$895bob2o2bobo$
896bobo3bobo$897bobo3bobo$898bobo2b2obo$899bob2ob2obo$900bob2o2bobo$
901bobo3bobo$902bobo3bobo$903bobo2b2obo$904bob2o2bobo$905bobo3bobo$
906bobo3bobo$907bobo3bobo$908bobo2b2obo$909bob2ob2obo$910bob2o2bobo$
911bobo2b2obo$912bob2ob2obo$913bob2o2bobo$914bobo2b2obo$915bob2o2bobo$
916bobo2b2obo$917bob2o2bobo$918bobo2b2obo$919bob2ob2obo$920bob2o2bobo$
921bobo3bobo$922bobo3bobo$923bobo2b2obo$924bob2ob2obo$925bob2o2bobo$
926bobo2b2obo$927bob2ob2obo$928bob2o2bobo$929bobo3bobo$930bobo3bobo$
931bobo2b2obo$932bob2ob2obo$933bob2o2bobo$934bobo2b2obo$935bob2o2bobo$
936bobo3bobo$937bobo3bobo$938bobo3bobo$939bobo2b2obo$940bob2ob2obo$
941bob2ob2obo$942bob2o2bobo$943bobo3bobo$944bobo2b2obo$945bob2o2bobo$
946bobo2b2obo$947bob2ob2obo$948bob2o2bobo$949bobo2b2obo$950bob2ob2obo$
951bob2o2bobo$952bobo3bobo$953bobo2b2obo$954bob2o2bobo$955bobo3bobo$
956bobo2b2obo$957bob2o2bobo$958bobo3bobo$959bobo3bobo$960bobo2b2obo$
961bob2ob2obo$962bob2o2bobo$963bobo3bobo$964bobo2b2obo$965bob2o2bobo$
966bobo2b2obo$967bob2o2bobo$968bobo3bobo$969bobo3bobo$970bobo2b2obo$
971bob2o2bobo$972bobo3bobo$973bobo3bobo$974bobo2b2obo$975bob2o2bobo$
976bobo2b2obo$977bob2ob2obo$978bob2ob2obo$979bob2o2bobo$980bobo3bobo$
981bobo2b2obo$982bob2o2bobo$983bobo3bobo$984bobo3bobo$985bobo3bobo$
986bobo3bobo$987bobo2b2obo$988bob2ob2obo$989bob2o2bobo$990bobo3bobo$
991bobo3bobo$992bobo2b2obo$993bob2o2bobo$994bobo3bobo$995bobo2b2obo$
996bob2ob2obo$997bob2ob2obo$998bob2ob2obo$999bob2ob2obo$1000bob2o2bobo
$1001bobo3bobo$1002bobo3bobo$1003bobo3bobo$1004bobo3bobo$1005bobo3bobo
$1006bobo3bobo$1007bobo2b2obo$1008bob2o2bobo$1009bobo2b2obo$1010bob2o
2bobo$1011bobo2b2obo$1012bob2o2bobo$1013bobo2b2obo$1014bob2o2bobo$
1015bobo3bobo$1016bobo3bobo$1017bobo3bobo$1018bobo2b2obo$1019bob2ob2ob
o$1020bob2o2bobo$1021bobo2b2obo$1022bob2ob2obo$1023bob2ob2obo$1024bob
2o2bobo$1025bobo3bobo$1026bobo3bobo$1027bobo2b2obo$1028bob2o2bobo$
1029bobo3bobo$1030bobo3bobo$1031bobo2b2obo$1032bob2ob2obo$1033bob2ob2o
bo$1034bob2ob2obo$1035bob2o2bobo$1036bobo2b2obo$1037bob2ob2obo$1038bob
2ob2obo$1039bob2o2bobo$1040bobo2b2obo$1041bob2o2bobo$1042bobo2b2obo$
1043bob2ob2obo$1044bob2ob2obo$1045bob2o2bobo$1046bobo2b2obo$1047bob2o
2bobo$1048bobo2b2obo$1049bob2o2bobo$1050bobo2b2obo$1051bob2ob2obo$
1052bob2ob2obo$1053bob2ob2obo$1054bob2ob2obo$1055bob2o2bobo$1056bobo3b
obo$1057bobo2b2obo$1058bob2o2bobo$1059bobo2b2obo$1060bob2o2bobo$1061bo
bo2b2obo$1062bob2ob2obo$1063bob2ob2obo$1064bob2o2bobo$1065bobo3bobo$
1066bobo3bobo$1067bobo2b2obo$1068bob2ob2obo$1069bob2ob2obo$1070bob2o2b
obo$1071bobo2b2obo$1072bob2o2bobo$1073bobo3bobo$1074bobo3bobo$1075bobo
3bobo$1076bobo3bobo$1077bobo3bobo$1078bobo3bobo$1079bobo2b2obo$1080bob
2o2bobo$1081bobo3bobo$1082bobo3bobo$1083bobo3bobo$1084bobo3bobo$1085bo
bo2b2obo$1086bob2ob2obo$1087bob2o2bobo$1088bobo2b2obo$1089bob2o2bobo$
1090bobo2b2obo$1091bob2ob2obo$1092bob2ob2obo$1093bob2o2bobo$1094bobo2b
2obo$1095bob2ob2obo$1096bob2o2bobo$1097bobo2b2obo$1098bob2o2bobo$1099b
obo2b2obo$1100bob2o2bobo$1101bobo3bobo$1102bobo2b2obo$1103bob2ob2obo$
1104bob2o2bobo$1105bobo2b2obo$1106bob2o2bobo$1107bobo3bobo$1108bobo2b
2obo$1109bob2ob2obo$1110bob2ob2obo$1111bob2ob2obo$1112bob2o2bobo$1113b
obo2b2obo$1114bob2ob2obo$1115bob2o2bobo$1116bobo2b2obo$1117bob2ob2obo$
1118bob2ob2obo$1119bob2ob2obo$1120bob2o2bobo$1121bobo2b2obo$1122bob2o
2bobo$1123bobo3bobo$1124bobo3bobo$1125bobo2b2obo$1126bob2ob2obo$1127bo
b2ob2obo$1128bob2ob2obo$1129bob2o2bobo$1130bobo2b2obo$1131bob2o2bobo$
1132bobo3bobo$1133bobo3bobo$1134bobo2b2obo$1135bob2o2bobo$1136bobo3bob
o$1137bobo2b2obo$1138bob2o2bobo$1139bobo2b2obo$1140bob2o2bobo$1141bobo
2b2obo$1142bob2o2bobo$1143bobo2b2obo$1144bob2ob2obo$1145bob2ob2obo$
1146bob2ob2obo$1147bob2o2bobo$1148bobo2b2obo$1149bob2o2bobo$1150bobo3b
obo$1151bobo3bobo$1152bobo3bobo$1153bobo2b2obo$1154bob2ob2obo$1155bob
2o2bobo$1156bobo3bobo$1157bobo3bobo$1158bobo3bobo$1159bobo3bobo$1160bo
bo2b2obo$1161bob2o2bobo$1162bobo3bobo$1163bobo3bobo$1164bobo3bobo$
1165bobo2b2obo$1166bob2ob2obo$1167bob2ob2obo$1168bob2ob2obo$1169bob2ob
2obo$1170bob2o2bobo$1171bobo3bobo$1172bobo3bobo$1173bobo2b2obo$1174bob
2ob2obo$1175bob2ob2obo$1176bob2ob2obo$1177bob2ob2obo$1178bob2ob2obo$
1179bob2ob2obo$1180bob2ob2obo$1181bob2o2bobo$1182bobo3bobo$1183bobo3bo
bo$1184bobo3bobo$1185bobo2b2obo$1186bob2o2bobo$1187bobo3bobo$1188bobo
2b2obo$1189bob2o2bobo$1190bobo3bobo$1191bobo2b2obo$1192bob2ob2obo$
1193bob2o2bobo$1194bobo2b2obo$1195bob2o2bobo$1196bobo3bobo$1197bobo2b
2obo$1198bob2o2bobo$1199bobo2b2obo$1200bob2ob2obo$1201bob2o2bobo$1202b
obo2b2obo$1203bob2ob2obo$1204bob2o2bobo$1205bobo2b2obo$1206bob2ob2obo$
1207bob2ob2obo$1208bob2o2bobo$1209bobo3bobo$1210bobo3bobo$1211bobo2b2o
bo$1212bob2ob2obo$1213bob2ob2obo$1214bob2ob2obo$1215bob2o2bobo$1216bob
o2b2obo$1217bob2ob2obo$1218bob2ob2obo$1219bob2ob2obo$1220bob2o2bobo$
1221bobo2b2obo$1222bob2ob2obo$1223bob2o2bobo$1224bobo3bobo$1225bobo3bo
bo$1226bobo3bobo$1227bobo3bobo$1228bobo2b2obo$1229bob2ob2obo$1230bob2o
2bobo$1231bobo2b2obo$1232bob2ob2obo$1233bob2o2bobo$1234bobo2b2obo$
1235bob2ob2obo$1236bob2ob2obo$1237bob2ob2obo$1238bob2o2bobo$1239bobo3b
obo$1240bobo3bobo$1241bobo3bobo$1242bobo3bobo$1243bobo3bobo$1244bobo3b
obo$1245bobo2b2obo$1246bob2ob2obo$1247bob2ob2obo$1248bob2o2bobo$1249bo
bo3bobo$1250bobo2b2obo$1251bob2ob2obo$1252bob2ob2obo$1253bob2ob2obo$
1254bob2ob2obo$1255bob2o2bobo$1256bobo2b2obo$1257bob2o2bobo$1258bobo2b
2obo$1259bob2o2bobo$1260bobo2b2obo$1261bob2o2bobo$1262bobo3bobo$1263bo
bo2b2obo$1264bob2ob2obo$1265bob2o2bobo$1266bobo3bobo$1267bobo2b2obo$
1268bob2ob2obo$1269bob2o2bobo$1270bobo2b2obo$1271bob2ob2obo$1272bob2ob
2obo$1273bob2o2bobo$1274bobo3bobo$1275bobo2b2obo$1276bob2o2bobo$1277bo
bo3bobo$1278bobo2b2obo$1279bob2o2bobo$1280bobo2b2obo$1281bob2ob2obo$
1282bob2o2bobo$1283bobo2b2obo$1284bob2ob2obo$1285bob2o2bobo$1286bobo3b
obo$1287bobo2b2obo$1288bob2ob2obo$1289bob2ob2obo$1290bob2ob2obo$1291bo
b2o2bobo$1292bobo3bobo$1293bobo3bobo$1294bobo2b2obo$1295bob2o2bobo$
1296bobo2b2obo$1297bob2ob2obo$1298bob2o2bobo$1299bobo2b2obo$1300bob2ob
2obo$1301bob2ob2obo$1302bob2ob2obo$1303bob2o2bobo$1304bobo3bobo$1305bo
bo2b2obo$1306bob2o2bobo$1307bobo3bobo$1308bobo2b2obo$1309bob2o2bobo$
1310bobo2b2obo$1311bob2ob2obo$1312bob2ob2obo$1313bob2o2bobo$1314bobo2b
2obo$1315bob2ob2obo$1316bob2ob2obo$1317bob2ob2obo$1318bob2ob2obo$1319b
ob2o2bobo$1320bobo2b2obo$1321bob2ob2obo$1322bob2o2bobo$1323bobo3bobo$
1324bobo2b2obo$1325bob2o2bobo$1326bobo2b2obo$1327bob2o2bobo$1328bobo3b
obo$1329bobo2b2obo$1330bob2o2bobo$1331bobo3bobo$1332bobo2b2obo$1333bob
2o2bobo$1334bobo2b2obo$1335bob2ob2obo$1336bob2o2bobo$1337bobo2b2obo$
1338bob2o2bobo$1339bobo2b2obo$1340bob2ob2obo$1341bob2o2bobo$1342bobo2b
2obo$1343bob2ob2obo$1344bob2o2bobo$1345bobo3bobo$1346bobo3bobo$1347bob
o2b2obo$1348bob2o2bobo$1349bobo3bobo$1350bobo2b2obo$1351bob2o2bobo$
1352bobo2b2obo$1353bob2ob2obo$1354bob2o2bobo$1355bobo3bobo$1356bobo3bo
bo$1357bobo3bobo$1358bobo2b2obo$1359bob2ob2obo$1360bob2o2bobo$1361bobo
3bobo$1362bobo2b2obo$1363bob2ob2obo$1364bob2o2bobo$1365bobo3bobo$1366b
obo3bobo$1367bobo3bobo$1368bobo2b2obo$1369bob2o2bobo$1370bobo2b2obo$
1371bob2o2bobo$1372bobo3bobo$1373bobo2b2obo$1374bob2ob2obo$1375bob2o2b
obo$1376bobo2b2obo$1377bob2ob2obo$1378bob2ob2obo$1379bob2ob2obo$1380bo
b2ob2obo$1381bob2ob2obo$1382bob2ob2obo$1383bob2ob2obo$1384bob2o2bobo$
1385bobo2b2obo$1386bob2o2bobo$1387bobo2b2obo$1388bob2o2bobo$1389bobo3b
obo$1390bobo2b2obo$1391bob2o2bobo$1392bobo3bobo$1393bobo2b2obo$1394bob
2o2bobo$1395bobo2b2obo$1396bob2o2bobo$1397bobo2b2obo$1398bob2ob2obo$
1399bob2ob2obo$1400bob2o2bobo$1401bobo2b2obo$1402bob2o2bobo$1403bobo3b
obo$1404bobo3bobo$1405bobo3bobo$1406bobo2b2obo$1407bob2ob2obo$1408bob
2ob2obo$1409bob2ob2obo$1410bob2o2bobo$1411bobo3bobo$1412bobo3bobo$
1413bobo2b2obo$1414bob2ob2obo$1415bob2ob2obo$1416bob2o2bobo$1417bobo2b
2obo$1418bob2ob2obo$1419bob2ob2obo$1420bob2ob2obo$1421bob2o2bobo$1422b
obo2b2obo$1423bob2ob2obo$1424bob2ob2obo$1425bob2ob2obo$1426bob2ob2obo$
1427bob2ob2obo$1428bob2ob2obo$1429bob2o2bobo$1430bobo3bobo$1431bobo3bo
bo$1432bobo3bobo$1433bobo2b2obo$1434bob2o2bobo$1435bobo3bobo$1436bobo
3bobo$1437bobo3bobo$1438bobo2b2obo$1439bob2o2bobo$1440bobo3bobo$1441bo
bo2b2obo$1442bob2ob2obo$1443bob2o2bobo$1444bobo3bobo$1445bobo2b2obo$
1446bob2o2bobo$1447bobo2b2obo$1448bob2o2bobo$1449bobo2b2obo$1450bob2ob
2obo$1451bob2ob2obo$1452bob2ob2obo$1453bob2o2bobo$1454bobo3bobo$1455bo
bo2b2obo$1456bob2ob2obo$1457bob2o2bobo$1458bobo3bobo$1459bobo2b2obo$
1460bob2o2bobo$1461bobo3bobo$1462bobo2b2obo$1463bob2ob2obo$1464bob2ob
2obo$1465bob2o2bobo$1466bobo3bobo$1467bobo2b2obo$1468bob2ob2obo$1469bo
b2o2bobo$1470bobo3bobo$1471bobo2b2obo$1472bob2ob2obo$1473bob2ob2obo$
1474bob2ob2obo$1475bob2o2bobo$1476bobo3bobo$1477bobo3bobo$1478bobo3bob
o$1479bobo2b2obo$1480bob2o2bobo$1481bobo2b2obo$1482bob2o2bobo$1483bobo
3bobo$1484bobo3bobo$1485bobo2b2obo$1486bob2o2bobo$1487bobo3bobo$1488bo
bo3bobo$1489bobo2b2obo$1490bob2o2bobo$1491bobo2b2obo$1492bob2ob2obo$
1493bob2o2bobo$1494bobo3bobo$1495bobo3bobo$1496bobo2b2obo$1497bob2ob2o
bo$1498bob2o2bobo$1499bobo2b2obo$1500bob2o2bobo$1501bobo3bobo$1502bobo
2b2obo$1503bob2ob2obo$1504bob2ob2obo$1505bob2ob2obo$1506bob2o2bobo$
1507bobo2b2obo$1508bob2ob2obo$1509bob2o2bobo$1510bobo3bobo$1511bobo2b
2obo$1512bob2ob2obo$1513bob2o2bobo$1514bobo2b2obo$1515bob2ob2obo$1516b
ob2ob2obo$1517bob2o2bobo$1518bobo2b2obo$1519bob2ob2obo$1520bob2o2bobo$
1521bobo2b2obo$1522bob2ob2obo$1523bob2ob2obo$1524bob2ob2obo$1525bob2ob
2obo$1526bob2ob2obo$1527bob2o2bobo$1528bobo2b2obo$1529bob2o2bobo$1530b
obo2b2obo$1531bob2ob2obo$1532bob2ob2obo$1533bob2ob2obo$1534bob2o2bobo$
1535bobo3bobo$1536bobo3bobo$1537bobo2b2obo$1538bob2ob2obo$1539bob2o2bo
bo$1540bobo3bobo$1541bobo2b2obo$1542bob2ob2obo$1543bob2o2bobo$1544bobo
2b2obo$1545bob2ob2obo$1546bob2o2bobo$1547bobo2b2obo$1548bob2o2bobo$
1549bobo3bobo$1550bobo3bobo$1551bobo2b2obo$1552bob2o2bobo$1553bobo2b2o
bo$1554bob2o2bobo$1555bobo3bobo$1556bobo3bobo$1557bobo2b2obo$1558bob2o
b2obo$1559bob2o2bobo$1560bobo3bobo$1561bobo3bobo$1562bobo3bobo$1563bob
o2b2obo$1564bob2ob2obo$1565bob2ob2obo$1566bob2o2bobo$1567bobo2b2obo$
1568bob2o2bobo$1569bobo3bobo$1570bobo2b2obo$1571bob2ob2obo$1572bob2o2b
obo$1573bobo2b2obo$1574bob2ob2obo$1575bob2ob2obo$1576bob2o2bobo$1577bo
bo3bobo$1578bobo3bobo$1579bobo3bobo$1580bobo2b2obo$1581bob2o2bobo$
1582bobo3bobo$1583bobo3bobo$1584bobo2b2obo$1585bob2ob2obo$1586bob2o2bo
bo$1587bobo3bobo$1588bobo2b2obo$1589bob2o2bobo$1590bobo3bobo$1591bobo
2b2obo$1592bob2o2bobo$1593bobo2b2obo$1594bob2o2bobo$1595bobo2b2obo$
1596bob2ob2obo$1597bob2o2bobo$1598bobo2b2obo$1599bob2ob2obo$1600bob2o
2bobo$1601bobo2b2obo$1602bob2ob2obo$1603bob2ob2obo$1604bob2o2bobo$
1605bobo3bobo$1606bobo2b2obo$1607bob2ob2obo$1608bob2ob2obo$1609bob2ob
2obo$1610bob2o2bobo$1611bobo3bobo$1612bobo3bobo$1613bobo3bobo$1614bobo
2b2obo$1615bob2ob2obo$1616bob2o2bobo$1617bobo3bobo$1618bobo2b2obo$
1619bob2o2bobo$1620bobo2b2obo$1621bob2o2bobo$1622bobo2b2obo$1623bob2o
2bobo$1624bobo2b2obo$1625bob2ob2obo$1626bob2o2bobo$1627bobo3bobo$1628b
obo3bobo$1629bobo2b2obo$1630bob2ob2obo$1631bob2o2bobo$1632bobo3bobo$
1633bobo3bobo$1634bobo2b2obo$1635bob2o2bobo$1636bobo3bobo$1637bobo3bob
o$1638bobo3bobo$1639bobo2b2obo$1640bob2o2bobo$1641bobo3bobo$1642bobo3b
obo$1643bobo3bobo$1644bobo3bobo$1645bobo3bobo$1646bobo2b2obo$1647bob2o
b2obo$1648bob2ob2obo$1649bob2ob2obo$1650bob2ob2obo$1651bob2o2bobo$
1652bobo2b2obo$1653bob2o2bobo$1654bobo2b2obo$1655bob2o2bobo$1656bobo2b
2obo$1657bob2o2bobo$1658bobo2b2obo$1659bob2ob2obo$1660bob2o2bobo$1661b
obo2b2obo$1662bob2ob2obo$1663bob2o2bobo$1664bobo3bobo$1665bobo2b2obo$
1666bob2o2bobo$1667bobo2b2obo$1668bob2ob2obo$1669bob2o2bobo$1670bobo3b
obo$1671bobo2b2obo$1672bob2ob2obo$1673bob2o2bobo$1674bobo3bobo$1675bob
o2b2obo$1676bob2o2bobo$1677bobo3bobo$1678bobo2b2obo$1679bob2ob2obo$
1680bob2o2bobo$1681bobo3bobo$1682bobo3bobo$1683bobo2b2obo$1684bob2ob2o
bo$1685bob2ob2obo$1686bob2o2bobo$1687bobo2b2obo$1688bob2o2bobo$1689bob
o3bobo$1690bobo2b2obo$1691bob2ob2obo$1692bob2o2bobo$1693bobo2b2obo$
1694bob2o2bobo$1695bobo3bobo$1696bobo3bobo$1697bobo2b2obo$1698bob2ob2o
bo$1699bob2o2bobo$1700bobo3bobo$1701bobo3bobo$1702bobo3bobo$1703bobo3b
obo$1704bobo3bobo$1705bobo3bobo$1706bobo3bobo$1707bobo3bobo$1708bobo2b
2obo$1709bob2o2bobo$1710bobo2b2obo$1711bob2o2bobo$1712bobo3bobo$1713bo
bo3bobo$1714bobo3bobo$1715bobo3bobo$1716bobo2b2obo$1717bob2o2bobo$
1718bobo3bobo$1719bobo2b2obo$1720bob2o2bobo$1721bobo2b2obo$1722bob2o2b
obo$1723bobo3bobo$1724bobo2b2obo$1725bob2ob2obo$1726bob2ob2obo$1727bob
2ob2obo$1728bob2ob2obo$1729bob2ob2obo$1730bob2o2bobo$1731bobo3bobo$
1732bobo2b2obo$1733bob2ob2obo$1734bob2o2bobo$1735bobo3bobo$1736bobo3bo
bo$1737bobo3bobo$1738bobo2b2obo$1739bob2ob2obo$1740bob2o2bobo$1741bobo
3bobo$1742bobo3bobo$1743bobo2b2obo$1744bob2o2bobo$1745bobo2b2obo$1746b
ob2o2bobo$1747bobo2b2obo$1748bob2o2bobo$1749bobo3bobo$1750bobo2b2obo$
1751bob2o2bobo$1752bobo2b2obo$1753bob2o2bobo$1754bobo3bobo$1755bobo3bo
bo$1756bobo2b2obo$1757bob2o2bobo$1758bobo2b2obo$1759bob2o2bobo$1760bob
o3bobo$1761bobo2b2obo$1762bob2ob2obo$1763bob2o2bobo$1764bobo2b2obo$
1765bob2ob2obo$1766bob2o2bobo$1767bobo3bobo$1768bobo2b2obo$1769bob2o2b
obo$1770bobo2b2obo$1771bob2ob2obo$1772bob2ob2obo$1773bob2o2bobo$1774bo
bo3bobo$1775bobo3bobo$1776bobo3bobo$1777bobo2b2obo$1778bob2o2bobo$
1779bobo2b2obo$1780bob2o2bobo$1781bobo3bobo$1782bobo2b2obo$1783bob2ob
2obo$1784bob2o2bobo$1785bobo3bobo$1786bobo3bobo$1787bobo2b2obo$1788bob
2o2bobo$1789bobo3bobo$1790bobo3bobo$1791bobo3bobo$1792bobo2b2obo$1793b
ob2o2bobo$1794bobo2b2obo$1795bob2o2bobo$1796bobo3bobo$1797bobo2b2obo$
1798bob2ob2obo$1799bob2o2bobo$1800bobo2b2obo$1801bob2ob2obo$1802bob2o
2bobo$1803bobo2b2obo$1804bob2ob2obo$1805bob2o2bobo$1806bobo3bobo$1807b
obo2b2obo$1808bob2ob2obo$1809bob2ob2obo$1810bob2o2bobo$1811bobo3bobo$
1812bobo3bobo$1813bobo3bobo$1814bobo2b2obo$1815bob2ob2obo$1816bob2ob2o
bo$1817bob2ob2obo$1818bob2o2bobo$1819bobo2b2obo$1820bob2o2bobo$1821bob
o2b2obo$1822bob2o2bobo$1823bobo3bobo$1824bobo2b2obo$1825bob2ob2obo$
1826bob2ob2obo$1827bob2ob2obo$1828bob2ob2obo$1829bob2ob2obo$1830bob2ob
2obo$1831bob2ob2obo$1832bob2ob2obo$1833bob2o2bobo$1834bobo2b2obo$1835b
ob2o2bobo$1836bobo3bobo$1837bobo3bobo$1838bobo2b2obo$1839bob2o2bobo$
1840bobo3bobo$1841bobo2b2obo$1842bob2ob2obo$1843bob2o2bobo$1844bobo3bo
bo$1845bobo3bobo$1846bobo3bobo$1847bobo3bobo$1848bobo3bobo$1849bobo2b
2obo$1850bob2o2bobo$1851bobo2b2obo$1852bob2o2bobo$1853bobo3bobo$1854bo
bo2b2obo$1855bob2o2bobo$1856bobo2b2obo$1857bob2o2bobo$1858bobo2b2obo$
1859bob2o2bobo$1860bobo2b2obo$1861bob2o2bobo$1862bobo3bobo$1863bobo3bo
bo$1864bobo3bobo$1865bobo2b2obo$1866bob2ob2obo$1867bob2o2bobo$1868bobo
3bobo$1869bobo3bobo$1870bobo2b2obo$1871bob2ob2obo$1872bob2o2bobo$1873b
obo2b2obo$1874bob2ob2obo$1875bob2ob2obo$1876bob2ob2obo$1877bob2ob2obo$
1878bob2o2bobo$1879bobo2b2obo$1880bob2ob2obo$1881bob2ob2obo$1882bob2o
2bobo$1883bobo2b2obo$1884bob2o2bobo$1885bobo3bobo$1886bobo3bobo$1887bo
bo3bobo$1888bobo3bobo$1889bobo3bobo$1890bobo3bobo$1891bobo3bobo$1892bo
bo3bobo$1893bobo3bobo$1894bobo3bobo$1895bobo2b2obo$1896bob2o2bobo$
1897bobo2b2obo$1898bob2ob2obo$1899bob2o2bobo$1900bobo2b2obo$1901bob2ob
2obo$1902bob2o2bobo$1903bobo2b2obo$1904bob2o2bobo$1905bobo2b2obo$1906b
ob2ob2obo$1907bob2ob2obo$1908bob2o2bobo$1909bobo3bobo$1910bobo2b2obo$
1911bob2ob2obo$1912bob2o2bobo$1913bobo2b2obo$1914bob2ob2obo$1915bob2ob
2obo$1916bob2ob2obo$1917bob2o2bobo$1918bobo3bobo$1919bobo3bobo$1920bob
o2b2obo$1921bob2o2bobo$1922bobo2b2obo$1923bob2o2bobo$1924bobo3bobo$
1925bobo2b2obo$1926bob2o2bobo$1927bobo2b2obo$1928bob2ob2obo$1929bob2ob
2obo$1930bob2ob2obo$1931bob2ob2obo$1932bob2ob2obo$1933bob2o2bobo$1934b
obo2b2obo$1935bob2ob2obo$1936bob2ob2obo$1937bob2ob2obo$1938bob2ob2obo$
1939bob2ob2obo$1940bob2o2bobo$1941bobo2b2obo$1942bob2ob2obo$1943bob2o
2bobo$1944bobo2b2obo$1945bob2o2bobo$1946bobo3bobo$1947bobo3bobo$1948bo
bo2b2obo$1949bob2o2bobo$1950bobo3bobo$1951bobo2b2obo$1952bob2o2bobo$
1953bobo2b2obo$1954bob2o2bobo$1955bobo3bobo$1956bobo2b2obo$1957bob2o2b
obo$1958bobo3bobo$1959bobo3bobo$1960bobo2b2obo$1961bob2ob2obo$1962bob
2ob2obo$1963bob2o2bobo$1964bobo3bobo$1965bobo2b2obo$1966bob2ob2obo$
1967bob2ob2obo$1968bob2ob2obo$1969bob2ob2obo$1970bob2ob2obo$1971bob2o
2bobo$1972bobo2b2obo$1973bob2o2bobo$1974bobo3bobo$1975bobo2b2obo$1976b
ob2o2bobo$1977bobo3bobo$1978bobo3bobo$1979bobo3bobo$1980bobo2b2obo$
1981bob2ob2obo$1982bob2o2bobo$1983bobo3bobo$1984bobo2b2obo$1985bob2o2b
obo$1986bobo2b2obo$1987bob2o2bobo$1988bobo3bobo$1989bobo3bobo$1990bobo
2b2obo$1991bob2ob2obo$1992bob2ob2obo$1993bob2ob2obo$1994bob2o2bobo$
1995bobo2b2obo$1996bob2o2bobo$1997bobo3bobo$1998bobo2b2obo$1999bob2o2b
obo$2000bobo2b2obo$2001bob2ob2obo$2002bob2o2bobo$2003bobo3bobo$2004bob
o3bobo$2005bobo2b2obo$2006bob2o2bobo$2007bobo3bobo$2008bobo3bobo$2009b
obo2b2obo$2010bob2o2bobo$2011bobo2b2obo$2012bob2ob2obo$2013bob2ob2obo$
2014bob2ob2obo$2015bob2ob2obo$2016bob2o2bobo$2017bobo2b2obo$2018bob2ob
2obo$2019bob2ob2obo$2020bob2ob2obo$2021bob2o2bobo$2022bobo3bobo$2023bo
bo2b2obo$2024bob2ob2obo$2025bob2ob2obo$2026bob2o2bobo$2027bobo3bobo$
2028bobo2b2obo$2029bob2o2bobo$2030bobo3bobo$2031bobo3bobo$2032bobo2b2o
bo$2033bob2ob2obo$2034bob2o2bobo$2035bobo2b2obo$2036bob2ob2obo$2037bob
2ob2obo$2038bob2o2bobo$2039bobo3bobo$2040bobo3bobo$2041bobo2b2obo$
2042bob2ob2obo$2043bob2ob2obo$2044bob2o2bobo$2045bobo3bobo$2046bobo3bo
bo$2047bobo2b2obo$2048bob2ob2obo$2049bob2ob2obo$2050bob2o2bobo$2051bob
o3bobo$2052bobo3bobo$2053bobo2b2obo$2054bob2ob2obo$2055bob2ob2obo$
2056bob2o2bobo$2057bobo3bobo$2058bobo3bobo$2059bobo2b2obo$2060bob2o2bo
bo$2061bobo3bobo$2062bobo2b2obo$2063bob2ob2obo$2064bob2ob2obo$2065bob
2o2bobo$2066bobo2b2obo$2067bob2ob2obo$2068bob2o2bobo$2069bobo3bobo$
2070bobo3bobo$2071bobo2b2obo$2072bob2ob2obo$2073bob2o2bobo$2074bobo3bo
bo$2075bobo3bobo$2076bobo3bobo$2077bobo2b2obo$2078bob2o2bobo$2079bobo
3bobo$2080bobo3bobo$2081bobo3bobo$2082bobo3bobo$2083bobo2b2obo$2084bob
2o2bobo$2085bobo2b2obo$2086bob2ob2obo$2087bob2ob2obo$2088bob2o2bobo$
2089bobo2b2obo$2090bob2ob2obo$2091bob2ob2obo$2092bob2o2bobo$2093bobo3b
obo$2094bobo2b2obo$2095bob2o2bobo$2096bobo2b2obo$2097bob2ob2obo$2098bo
b2o2bobo$2099bobo2b2obo$2100bob2o2bobo$2101bobo3bobo$2102bobo3bobo$
2103bobo3bobo$2104bobo2b2obo$2105bob2ob2obo$2106bob2ob2obo$2107bob2o2b
obo$2108bobo2b2obo$2109bob2o2bobo$2110bobo2b2obo$2111bob2ob2obo$2112bo
b2o2bobo$2113bobo3bobo$2114bobo2b2obo$2115bob2ob2obo$2116bob2ob2obo$
2117bob2ob2obo$2118bob2o2bobo$2119bobo2b2obo$2120bob2ob2obo$2121bob2o
2bobo$2122bobo2b2obo$2123bob2o2bobo$2124bobo3bobo$2125bobo3bobo$2126bo
bo3bobo$2127bobo3bobo$2128bobo3bobo$2129bobo2b2obo$2130bob2ob2obo$
2131bob2o2bobo$2132bobo3bobo$2133bobo3bobo$2134bobo2b2obo$2135bob2ob2o
bo$2136bob2ob2obo$2137bob2o2bobo$2138bobo2b2obo$2139bob2ob2obo$2140bob
2o2bobo$2141bobo2b2obo$2142bob2o2bobo$2143bobo2b2obo$2144bob2ob2obo$
2145bob2o2bobo$2146bobo2b2obo$2147bob2ob2obo$2148bob2ob2obo$2149bob2o
2bobo$2150bobo2b2obo$2151bob2o2bobo$2152bobo3bobo$2153bobo2b2obo$2154b
ob2o2bobo$2155bobo3bobo$2156bobo3bobo$2157bobo3bobo$2158bobo3bobo$
2159bobo3bobo$2160bobo2b2obo$2161bob2o2bobo$2162bobo3bobo$2163bobo3bob
o$2164bobo3bobo$2165bobo3bobo$2166bobo3bobo$2167bobo2b2obo$2168bob2o2b
obo$2169bobo2b2obo$2170bob2ob2obo$2171bob2o2bobo$2172bobo2b2obo$2173bo
b2o2bobo$2174bobo2b2obo$2175bob2ob2obo$2176bob2ob2obo$2177bob2o2bobo$
2178bobo3bobo$2179bobo3bobo$2180bobo3bobo$2181bobo2b2obo$2182bob2o2bob
o$2183bobo3bobo$2184bobo2b2obo$2185bob2ob2obo$2186bob2o2bobo$2187bobo
3bobo$2188bobo3bobo$2189bobo2b2obo$2190bob2o2bobo$2191bobo2b2obo$2192b
ob2o2bobo$2193bobo3bobo$2194bobo2b2obo$2195bob2o2bobo$2196bobo3bobo$
2197bobo2b2obo$2198bob2o2bobo$2199bobo2b2obo$2200bob2ob2obo$2201bob2ob
2obo$2202bob2ob2obo$2203bob2ob2obo$2204bob2ob2obo$2205bob2ob2obo$2206b
ob2ob2obo$2207bob2ob2obo$2208bob2ob2obo$2209bob2ob2obo$2210bob2o2bobo$
2211bobo2b2obo$2212bob2o2bobo$2213bobo3bobo$2214bobo3bobo$2215bobo2b2o
bo$2216bob2o2bobo$2217bobo3bobo$2218bobo3bobo$2219bobo3bobo$2220bobo3b
obo$2221bobo2b2obo$2222bob2o2bobo$2223bobo3bobo$2224bobo2b2obo$2225bob
2ob2obo$2226bob2ob2obo$2227bob2o2bobo$2228bobo3bobo$2229bobo2b2obo$
2230bob2ob2obo$2231bob2ob2obo$2232bob2ob2obo$2233bob2o2bobo$2234bobo2b
2obo$2235bob2o2bobo$2236bobo2b2obo$2237bob2o2bobo$2238bobo2b2obo$2239b
ob2o2bobo$2240bobo2b2obo$2241bob2ob2obo$2242bob2o2bobo$2243bobo2b2obo$
2244bob2o2bobo$2245bobo2b2obo$2246bob2ob2obo$2247bob2ob2obo$2248bob2ob
2obo$2249bob2ob2obo$2250bob2ob2obo$2251bob2o2bobo$2252bobo3bobo$2253bo
bo2b2obo$2254bob2ob2obo$2255bob2o2bobo$2256bobo2b2obo$2257bob2ob2obo$
2258bob2ob2obo$2259bob2o2bobo$2260bobo2b2obo$2261bob2o2bobo$2262bobo3b
obo$2263bobo3bobo$2264bobo3bobo$2265bobo3bobo$2266bobo3bobo$2267bobo3b
obo$2268bobo3bobo$2269bobo3bobo$2270bobo2b2obo$2271bob2ob2obo$2272bob
2o2bobo$2273bobo2b2obo$2274bob2o2bobo$2275bobo2b2obo$2276bob2o2bobo$
2277bobo3bobo$2278bobo3bobo$2279bobo3bobo$2280bobo2b2obo$2281bob2ob2ob
o$2282bob2ob2obo$2283bob2ob2obo$2284bob2o2bobo$2285bobo3bobo$2286bobo
3bobo$2287bobo2b2obo$2288bob2ob2obo$2289bob2o2bobo$2290bobo3bobo$2291b
obo2b2obo$2292bob2o2bobo$2293bobo3bobo$2294bobo2b2obo$2295bob2o2bobo$
2296bobo3bobo$2297bobo2b2obo$2298bob2ob2obo$2299bob2o2bobo$2300bobo2b
2obo$2301bob2o2bobo$2302bobo2b2obo$2303bob2ob2obo$2304bob2ob2obo$2305b
ob2ob2obo$2306bob2o2bobo$2307bobo2b2obo$2308bob2ob2obo$2309bob2ob2obo$
2310bob2o2bobo$2311bobo3bobo$2312bobo2b2obo$2313bob2ob2obo$2314bob2o2b
obo$2315bobo2b2obo$2316bob2o2bobo$2317bobo2b2obo$2318bob2ob2obo$2319bo
b2ob2obo$2320bob2ob2obo$2321bob2o2bobo$2322bobo3bobo$2323bobo3bobo$
2324bobo2b2obo$2325bob2o2bobo$2326bobo2b2obo$2327bob2ob2obo$2328bob2o
2bobo$2329bobo3bobo$2330bobo2b2obo$2331bob2o2bobo$2332bobo3bobo$2333bo
bo2b2obo$2334bob2ob2obo$2335bob2o2bobo$2336bobo2b2obo$2337bob2o2bobo$
2338bobo2b2obo$2339bob2ob2obo$2340bob2ob2obo$2341bob2o2bobo$2342bobo2b
2obo$2343bob2o2bobo$2344bobo2b2obo$2345bob2ob2obo$2346bob2o2bobo$2347b
obo2b2obo$2348bob2o2bobo$2349bobo2b2obo$2350bob2o2bobo$2351bobo2b2obo$
2352bob2ob2obo$2353bob2ob2obo$2354bob2o2bobo$2355bobo3bobo$2356bobo2b
2obo$2357bob2ob2obo$2358bob2ob2obo$2359bob2ob2obo$2360bob2o2bobo$2361b
obo3bobo$2362bobo2b2obo$2363bob2ob2obo$2364bob2o2bobo$2365bobo3bobo$
2366bobo3bobo$2367bobo3bobo$2368bobo3bobo$2369bobo3bobo$2370bobo2b2obo
$2371bob2ob2obo$2372bob2o2bobo$2373bobo2b2obo$2374bob2o2bobo$2375bobo
2b2obo$2376bob2ob2obo$2377bob2o2bobo$2378bobo2b2obo$2379bob2ob2obo$
2380bob2ob2obo$2381bob2ob2obo$2382bob2ob2obo$2383bob2o2bobo$2384bobo2b
2obo$2385bob2o2bobo$2386bobo2b2obo$2387bob2ob2obo$2388bob2ob2obo$2389b
ob2ob2obo$2390bob2ob2obo$2391bob2ob2obo$2392bob2ob2obo$2393bob2ob2obo$
2394bob2ob2obo$2395bob2o2bobo$2396bobo3bobo$2397bobo2b2obo$2398bob2ob
2obo$2399bob2ob2obo$2400bob2o2bobo$2401bobo2b2obo$2402bob2o2bobo$2403b
obo3bobo$2404bobo2b2obo$2405bob2ob2obo$2406bob2o2bobo$2407bobo2b2obo$
2408bob2o2bobo$2409bobo3bobo$2410bobo3bobo$2411bobo2b2obo$2412bob2ob2o
bo$2413bob2ob2obo$2414bob2o2bobo$2415bobo3bobo$2416bobo2b2obo$2417bob
2ob2obo$2418bob2o2bobo$2419bobo2b2obo$2420bob2ob2obo$2421bob2o2bobo$
2422bobo3bobo$2423bobo2b2obo$2424bob2ob2obo$2425bob2o2bobo$2426bobo3bo
bo$2427bobo2b2obo$2428bob2o2bobo$2429bobo2b2obo$2430bob2ob2obo$2431bob
2o2bobo$2432bobo3bobo$2433bobo2b2obo$2434bob2o2bobo$2435bobo3bobo$
2436bobo2b2obo$2437bob2o2bobo$2438bobo2b2obo$2439bob2o2bobo$2440bobo2b
2obo$2441bob2o2bobo$2442bobo2b2obo$2443bob2o2bobo$2444bobo3bobo$2445bo
bo3bobo$2446bobo3bobo$2447bobo3bobo$2448bobo2b2obo$2449bob2ob2obo$
2450bob2ob2obo$2451bob2ob2obo$2452bob2ob2obo$2453bob2ob2obo$2454bob2o
2bobo$2455bobo2b2obo$2456bob2ob2obo$2457bob2ob2obo$2458bob2ob2obo$
2459bob2o2bobo$2460bobo2b2obo$2461bob2ob2obo$2462bob2ob2obo$2463bob2o
2bobo$2464bobo3bobo$2465bobo2b2obo$2466bob2ob2obo$2467bob2ob2obo$2468b
ob2o2bobo$2469bobo3bobo$2470bobo2b2obo$2471bob2o2bobo$2472bobo2b2obo$
2473bob2o2bobo$2474bobo2b2obo$2475bob2o2bobo$2476bobo2b2obo$2477bob2ob
2obo$2478bob2o2bobo$2479bobo3bobo$2480bobo2b2obo$2481bob2ob2obo$2482bo
b2ob2obo$2483bob2ob2obo$2484bob2o2bobo$2485bobo3bobo$2486bobo3bobo$
2487bobo3bobo$2488bobo2b2obo$2489bob2ob2obo$2490bob2o2bobo$2491bobo3bo
bo$2492bobo3bobo$2493bobo2b2obo$2494bob2o2bobo$2495bobo3bobo$2496bobo
2b2obo$2497bob2o2bobo$2498bobo3bobo$2499bobo2b2obo$2500bob2o2bobo$
2501bobo2b2obo$2502bob2o2bobo$2503bobo2b2obo$2504bob2ob2obo$2505bob2o
2bobo$2506bobo2b2obo$2507bob2ob2obo$2508bob2o2bobo$2509bobo3bobo$2510b
obo2b2obo$2511bob2ob2obo$2512bob2ob2obo$2513bob2o2bobo$2514bobo2b2obo$
2515bob2ob2obo$2516bob2ob2obo$2517bob2ob2obo$2518bob2o2bobo$2519bobo3b
obo$2520bobo3bobo$2521bobo2b2obo$2522bob2o2bobo$2523bobo3bobo$2524bobo
2b2obo$2525bob2ob2obo$2526bob2o2bobo$2527bobo2b2obo$2528bob2o2bobo$
2529bobo3bobo$2530bobo3bobo$2531bobo2b2obo$2532bob2ob2obo$2533bob2ob2o
bo$2534bob2ob2obo$2535bob2o2bobo$2536bobo3bobo$2537bobo2b2obo$2538bob
2ob2obo$2539bob2ob2obo$2540bob2o2bobo$2541bobo2b2obo$2542bob2o2bobo$
2543bobo2b2obo$2544bob2ob2obo$2545bob2ob2obo$2546bob2o2bobo$2547bobo2b
2obo$2548bob2o2bobo$2549bobo3bobo$2550bobo2b2obo$2551bob2o2bobo$2552bo
bo3bobo$2553bobo2b2obo$2554bob2ob2obo$2555bob2o2bobo$2556bobo3bobo$
2557bobo2b2obo$2558bob2ob2obo$2559bob2ob2obo$2560bob2o2bobo$2561bobo3b
obo$2562bobo3bobo$2563bobo3bobo$2564bobo2b2obo$2565bob2o2bobo$2566bobo
2b2obo$2567bob2o2bobo$2568bobo3bobo$2569bobo3bobo$2570bobo3bobo$2571bo
bo3bobo$2572bobo3bobo$2573bobo2b2obo$2574bob2o2bobo$2575bobo3bobo$
2576bobo2b2obo$2577bob2o2bobo$2578bobo3bobo$2579bobo3bobo$2580bobo2b2o
bo$2581bob2o2bobo$2582bobo3bobo$2583bobo2b2obo$2584bob2ob2obo$2585bob
2o2bobo$2586bobo3bobo$2587bobo2b2obo$2588bob2o2bobo$2589bobo3bobo$
2590bobo3bobo$2591bobo3bobo$2592bobo2b2obo$2593bob2ob2obo$2594bob2o2bo
bo$2595bobo2b2obo$2596bob2o2bobo$2597bobo3bobo$2598bobo2b2obo$2599bob
2ob2obo$2600bob2ob2obo$2601bob2o2bobo$2602bobo3bobo$2603bobo2b2obo$
2604bob2o2bobo$2605bobo2b2obo$2606bob2ob2obo$2607bob2ob2obo$2608bob2o
2bobo$2609bobo2b2obo$2610bob2ob2obo$2611bob2ob2obo$2612bob2o2bobo$
2613bobo2b2obo$2614bob2o2bobo$2615bobo2b2obo$2616bob2ob2obo$2617bob2ob
2obo$2618bob2ob2obo$2619bob2o2bobo$2620bobo3bobo$2621bobo3bobo$2622bob
o3bobo$2623bobo2b2obo$2624bob2ob2obo$2625bob2o2bobo$2626bobo3bobo$
2627bobo2b2obo$2628bob2ob2obo$2629bob2o2bobo$2630bobo3bobo$2631bobo3bo
bo$2632bobo2b2obo$2633bob2ob2obo$2634bob2o2bobo$2635bobo2b2obo$2636bob
2ob2obo$2637bob2o2bobo$2638bobo3bobo$2639bobo2b2obo$2640bob2ob2obo$
2641bob2o2bobo$2642bobo3bobo$2643bobo3bobo$2644bobo3bobo$2645bobo2b2ob
o$2646bob2o2bobo$2647bobo2b2obo$2648bob2o2bobo$2649bobo2b2obo$2650bob
2ob2obo$2651bob2o2bobo$2652bobo3bobo$2653bobo2b2obo$2654bob2ob2obo$
2655bob2o2bobo$2656bobo2b2obo$2657bob2ob2obo$2658bob2ob2obo$2659bob2ob
2obo$2660bob2o2bobo$2661bobo2b2obo$2662bob2ob2obo$2663bob2ob2obo$2664b
ob2ob2obo$2665bob2o2bobo$2666bobo3bobo$2667bobo3bobo$2668bobo3bobo$
2669bobo3bobo$2670bobo3bobo$2671bobo3bobo$2672bobo2b2obo$2673bob2o2bob
o$2674bobo3bobo$2675bobo3bobo$2676bobo3bobo$2677bobo2b2obo$2678bob2o2b
obo$2679bobo3bobo$2680bobo3bobo$2681bobo2b2obo$2682bob2ob2obo$2683bob
2ob2obo$2684bob2o2bobo$2685bobo3bobo$2686bobo3bobo$2687bobo3bobo$2688b
obo2b2obo$2689bob2ob2obo$2690bob2ob2obo$2691bob2ob2obo$2692bob2o2bobo$
2693bobo2b2obo$2694bob2o2bobo$2695bobo3bobo$2696bobo3bobo$2697bobo2b2o
bo$2698bob2o2bobo$2699bobo2b2obo$2700bob2o2bobo$2701bobo2b2obo$2702bob
2ob2obo$2703bob2o2bobo$2704bobo2b2obo$2705bob2ob2obo$2706bob2o2bobo$
2707bobo2b2obo$2708bob2o2bobo$2709bobo2b2obo$2710bob2o2bobo$2711bobo3b
obo$2712bobo3bobo$2713bobo3bobo$2714bobo3bobo$2715bobo3bobo$2716bobo3b
obo$2717bobo3bobo$2718bobo2b2obo$2719bob2o2bobo$2720bobo3bobo$2721bobo
2b2obo$2722bob2ob2obo$2723bob2o2bobo$2724bobo2b2obo$2725bob2o2bobo$
2726bobo2b2obo$2727bob2ob2obo$2728bob2ob2obo$2729bob2ob2obo$2730bob2o
2bobo$2731bobo3bobo$2732bobo2b2obo$2733bob2ob2obo$2734bob2o2bobo$2735b
obo3bobo$2736bobo2b2obo$2737bob2ob2obo$2738bob2ob2obo$2739bob2ob2obo$
2740bob2o2bobo$2741bobo3bobo$2742bobo2b2obo$2743bob2o2bobo$2744bobo2b
2obo$2745bob2ob2obo$2746bob2o2bobo$2747bobo2b2obo$2748bob2ob2obo$2749b
ob2ob2obo$2750bob2o2bobo$2751bobo3bobo$2752bobo2b2obo$2753bob2o2bobo$
2754bobo3bobo$2755bobo2b2obo$2756bob2o2bobo$2757bobo2b2obo$2758bob2o2b
obo$2759bobo3bobo$2760bobo2b2obo$2761bob2o2bobo$2762bobo2b2obo$2763bob
2ob2obo$2764bob2o2bobo$2765bobo2b2obo$2766bob2ob2obo$2767bob2o2bobo$
2768bobo2b2obo$2769bob2o2bobo$2770bobo2b2obo$2771bob2ob2obo$2772bob2o
2bobo$2773bobo3bobo$2774bobo2b2obo$2775bob2o2bobo$2776bobo3bobo$2777bo
bo3bobo$2778bobo3bobo$2779bobo3bobo$2780bobo2b2obo$2781bob2o2bobo$
2782bobo3bobo$2783bobo3bobo$2784bobo2b2obo$2785bob2o2bobo$2786bobo2b2o
bo$2787bob2ob2obo$2788bob2o2bobo$2789bobo2b2obo$2790bob2ob2obo$2791bob
2o2bobo$2792bobo3bobo$2793bobo3bobo$2794bobo3bobo$2795bobo2b2obo$2796b
ob2o2bobo$2797bobo3bobo$2798bobo2b2obo$2799bob2o2bobo$2800bobo2b2obo$
2801bob2ob2obo$2802bob2ob2obo$2803bob2o2bobo$2804bobo3bobo$2805bobo3bo
bo$2806bobo3bobo$2807bobo2b2obo$2808bob2ob2obo$2809bob2o2bobo$2810bobo
3bobo$2811bobo2b2obo$2812bob2o2bobo$2813bobo3bobo$2814bobo2b2obo$2815b
ob2o2bobo$2816bobo2b2obo$2817bob2ob2obo$2818bob2o2bobo$2819bobo2b2obo$
2820bob2ob2obo$2821bob2o2bobo$2822bobo3bobo$2823bobo3bobo$2824bobo2b2o
bo$2825bob2o2bobo$2826bobo3bobo$2827bobo2b2obo$2828bob2ob2obo$2829bob
2o2bobo$2830bobo3bobo$2831bobo2b2obo$2832bob2ob2obo$2833bob2o2bobo$
2834bobo2b2obo$2835bob2o2bobo$2836bobo2b2obo$2837bob2o2bobo$2838bobo2b
2obo$2839bob2o2bobo$2840bobo3bobo$2841bobo3bobo$2842bobo3bobo$2843bobo
3bobo$2844bobo2b2obo$2845bob2ob2obo$2846bob2o2bobo$2847bobo3bobo$2848b
obo3bobo$2849bobo2b2obo$2850bob2ob2obo$2851bob2ob2obo$2852bob2ob2obo$
2853bob2ob2obo$2854bob2ob2obo$2855bob2ob2obo$2856bob2o2bobo$2857bobo3b
obo$2858bobo3bobo$2859bobo3bobo$2860bobo2b2obo$2861bob2o2bobo$2862bobo
3bobo$2863bobo2b2obo$2864bob2o2bobo$2865bobo3bobo$2866bobo2b2obo$2867b
ob2ob2obo$2868bob2ob2obo$2869bob2ob2obo$2870bob2ob2obo$2871bob2o2bobo$
2872bobo3bobo$2873bobo2b2obo$2874bob2o2bobo$2875bobo3bobo$2876bobo3bob
o$2877bobo3bobo$2878bobo2b2obo$2879bob2o2bobo$2880bobo3bobo$2881bobo3b
obo$2882bobo3bobo$2883bobo2b2obo$2884bob2ob2obo$2885bob2ob2obo$2886bob
2o2bobo$2887bobo3bobo$2888bobo3bobo$2889bobo2b2obo$2890bob2o2bobo$
2891bobo3bobo$2892bobo2b2obo$2893bob2o2bobo$2894bobo3bobo$2895bobo2b2o
bo$2896bob2o2bobo$2897bobo2b2obo$2898bob2ob2obo$2899bob2o2bobo$2900bob
o2b2obo$2901bob2o2bobo$2902bobo3bobo$2903bobo2b2obo$2904bob2ob2obo$
2905bob2o2bobo$2906bobo2b2obo$2907bob2ob2obo$2908bob2o2bobo$2909bobo2b
2obo$2910bob2ob2obo$2911bob2ob2obo$2912bob2ob2obo$2913bob2o2bobo$2914b
obo3bobo$2915bobo3bobo$2916bobo3bobo$2917bobo3bobo$2918bobo3bobo$2919b
obo3bobo$2920bobo3bobo$2921bobo2b2obo$2922bob2ob2obo$2923bob2ob2obo$
2924bob2o2bobo$2925bobo3bobo$2926bobo3bobo$2927bobo3bobo$2928bobo3bobo
$2929bobo2b2obo$2930bob2ob2obo$2931bob2ob2obo$2932bob2ob2obo$2933bob2o
2bobo$2934bobo2b2obo$2935bob2ob2obo$2936bob2ob2obo$2937bob2ob2obo$
2938bob2ob2obo$2939bob2o2bobo$2940bobo3bobo$2941bobo2b2obo$2942bob2ob
2obo$2943bob2ob2obo$2944bob2ob2obo$2945bob2o2bobo$2946bobo2b2obo$2947b
ob2o2bobo$2948bobo3bobo$2949bobo3bobo$2950bobo3bobo$2951bobo2b2obo$
2952bob2o2bobo$2953bobo2b2obo$2954bob2o2bobo$2955bobo2b2obo$2956bob2o
2bobo$2957bobo2b2obo$2958bob2ob2obo$2959bob2o2bobo$2960bobo2b2obo$
2961bob2ob2obo$2962bob2ob2obo$2963bob2o2bobo$2964bobo2b2obo$2965bob2o
2bobo$2966bobo3bobo$2967bobo3bobo$2968bobo3bobo$2969bobo2b2obo$2970bob
2ob2obo$2971bob2ob2obo$2972bob2o2bobo$2973bobo2b2obo$2974bob2o2bobo$
2975bobo3bobo$2976bobo3bobo$2977bobo3bobo$2978bobo2b2obo$2979bob2o2bob
o$2980bobo3bobo$2981bobo2b2obo$2982bob2o2bobo$2983bobo3bobo$2984bobo3b
obo$2985bobo3bobo$2986bobo2b2obo$2987bob2ob2obo$2988bob2o2bobo$2989bob
o2b2obo$2990bob2o2bobo$2991bobo3bobo$2992bobo2b2obo$2993bob2ob2obo$
2994bob2o2bobo$2995bobo2b2obo$2996bob2o2bobo$2997bobo2b2obo$2998bob2o
2bobo$2999bobo3bobo$3000bobo2b2obo$3001bob2o2bobo$3002bobo3bobo$3003bo
bo3bobo$3004bobo2b2obo$3005bob2o2bobo$3006bobo2b2obo$3007bob2o2bobo$
3008bobo3bobo$3009bobo2b2obo$3010bob2ob2obo$3011bob2ob2obo$3012bob2ob
2obo$3013bob2ob2obo$3014bob2o2bobo$3015bobo2b2obo$3016bob2ob2obo$3017b
ob2ob2obo$3018bob2ob2obo$3019bob2ob2obo$3020bob2ob2obo$3021bob2ob2obo$
3022bob2o2bobo$3023bobo2b2obo$3024bob2o2bobo$3025bobo3bobo$3026bobo3bo
bo$3027bobo2b2obo$3028bob2ob2obo$3029bob2ob2obo$3030bob2o2bobo$3031bob
o3bobo$3032bobo3bobo$3033bobo2b2obo$3034bob2o2bobo$3035bobo2b2obo$
3036bob2o2bobo$3037bobo2b2obo$3038bob2ob2obo$3039bob2o2bobo$3040bobo3b
obo$3041bobo3bobo$3042bobo3bobo$3043bobo3bobo$3044bobo2b2obo$3045bob2o
2bobo$3046bobo2b2obo$3047bob2o2bobo$3048bobo2b2obo$3049bob2o2bobo$
3050bobo3bobo$3051bobo3bobo$3052bobo2b2obo$3053bob2o2bobo$3054bobo2b2o
bo$3055bob2o2bobo$3056bobo3bobo$3057bobo3bobo$3058bobo2b2obo$3059bob2o
2bobo$3060bobo3bobo$3061bobo3bobo$3062bobo3bobo$3063bobo2b2obo$3064bob
2ob2obo$3065bob2ob2obo$3066bob2o2bobo$3067bobo2b2obo$3068bob2ob2obo$
3069bob2ob2obo$3070bob2o2bobo$3071bobo3bobo$3072bobo3bobo$3073bobo2b2o
bo$3074bob2o2bobo$3075bobo3bobo$3076bobo2b2obo$3077bob2ob2obo$3078bob
2ob2obo$3079bob2ob2obo$3080bob2o2bobo$3081bobo2b2obo$3082bob2o2bobo$
3083bobo2b2obo$3084bob2o2bobo$3085bobo2b2obo$3086bob2o2bobo$3087bobo2b
2obo$3088bob2ob2obo$3089bob2ob2obo$3090bob2ob2obo$3091bob2ob2obo$3092b
ob2ob2obo$3093bob2ob2obo$3094bob2o2bobo$3095bobo3bobo$3096bobo3bobo$
3097bobo3bobo$3098bobo3bobo$3099bobo2b2obo$3100bob2ob2obo$3101bob2o2bo
bo$3102bobo2b2obo$3103bob2ob2obo$3104bob2ob2obo$3105bob2o2bobo$3106bob
o3bobo$3107bobo2b2obo$3108bob2ob2obo$3109bob2ob2obo$3110bob2ob2obo$
3111bob2ob2obo$3112bob2o2bobo$3113bobo2b2obo$3114bob2ob2obo$3115bob2o
2bobo$3116bobo3bobo$3117bobo3bobo$3118bobo2b2obo$3119bob2o2bobo$3120bo
bo2b2obo$3121bob2ob2obo$3122bob2ob2obo$3123bob2o2bobo$3124bobo2b2obo$
3125bob2ob2obo$3126bob2ob2obo$3127bob2o2bobo$3128bobo2b2obo$3129bob2o
2bobo$3130bobo2b2obo$3131bob2ob2obo$3132bob2o2bobo$3133bobo3bobo$3134b
obo2b2obo$3135bob2ob2obo$3136bob2ob2obo$3137bob2o2bobo$3138bobo2b2obo$
3139bob2ob2obo$3140bob2o2bobo$3141bobo2b2obo$3142bob2ob2obo$3143bob2o
2bobo$3144bobo3bobo$3145bobo2b2obo$3146bob2o2bobo$3147bobo3bobo$3148bo
bo2b2obo$3149bob2o2bobo$3150bobo2b2obo$3151bob2ob2obo$3152bob2o2bobo$
3153bobo3bobo$3154bobo3bobo$3155bobo2b2obo$3156bob2ob2obo$3157bob2ob2o
bo$3158bob2ob2obo$3159bob2o2bobo$3160bobo2b2obo$3161bob2o2bobo$3162bob
o3bobo$3163bobo2b2obo$3164bob2ob2obo$3165bob2ob2obo$3166bob2o2bobo$
3167bobo3bobo$3168bobo2b2obo$3169bob2o2bobo$3170bobo3bobo$3171bobo2b2o
bo$3172bob2ob2obo$3173bob2ob2obo$3174bob2o2bobo$3175bobo3bobo$3176bobo
2b2obo$3177bob2o2bobo$3178bobo2b2obo$3179bob2o2bobo$3180bobo2b2obo$
3181bob2o2bobo$3182bobo3bobo$3183bobo2b2obo$3184bob2o2bobo$3185bobo3bo
bo$3186bobo2b2obo$3187bob2ob2obo$3188bob2ob2obo$3189bob2ob2obo$3190bob
2o2bobo$3191bobo2b2obo$3192bob2ob2obo$3193bob2ob2obo$3194bob2o2bobo$
3195bobo3bobo$3196bobo2b2obo$3197bob2ob2obo$3198bob2ob2obo$3199bob2o2b
obo$3200bobo2b2obo$3201bob2ob2obo$3202bob2ob2obo$3203bob2o2bobo$3204bo
bo2b2obo$3205bob2ob2obo$3206bob2o2bobo$3207bobo2b2obo$3208bob2o2bobo$
3209bobo3bobo$3210bobo2b2obo$3211bob2o2bobo$3212bobo2b2obo$3213bob2ob
2obo$3214bob2ob2obo$3215bob2ob2obo$3216bob2ob2obo$3217bob2o2bobo$3218b
obo3bobo$3219bobo3bobo$3220bobo3bobo$3221bobo2b2obo$3222bob2ob2obo$
3223bob2o2bobo$3224bobo2b2obo$3225bob2ob2obo$3226bob2ob2obo$3227bob2o
2bobo$3228bobo3bobo$3229bobo3bobo$3230bobo2b2obo$3231bob2o2bobo$3232bo
bo2b2obo$3233bob2ob2obo$3234bob2o2bobo$3235bobo2b2obo$3236bob2o2bobo$
3237bobo3bobo$3238bobo3bobo$3239bobo3bobo$3240bobo2b2obo$3241bob2ob2ob
o$3242bob2o2bobo$3243bobo2b2obo$3244bob2o2bobo$3245bobo2b2obo$3246bob
2ob2obo$3247bob2o2bobo$3248bobo2b2obo$3249bob2o2bobo$3250bobo2b2obo$
3251bob2o2bobo$3252bobo2b2obo$3253bob2ob2obo$3254bob2o2bobo$3255bobo2b
2obo$3256bob2o2bobo$3257bobo3bobo$3258bobo2b2obo$3259bob2o2bobo$3260bo
bo3bobo$3261bobo3bobo$3262bobo2b2obo$3263bob2o2bobo$3264bobo3bobo$
3265bobo2b2obo$3266bob2ob2obo$3267bob2ob2obo$3268bob2o2bobo$3269bobo3b
obo$3270bobo2b2obo$3271bob2ob2obo$3272bob2ob2obo$3273bob2o2bobo$3274bo
bo2b2obo$3275bob2o2bobo$3276bobo3bobo$3277bobo3bobo$3278bobo3bobo$
3279bobo3bobo$3280bobo3bobo$3281bobo3bobo$3282bobo2b2obo$3283bob2o2bob
o$3284bobo2b2obo$3285bob2ob2obo$3286bob2o2bobo$3287bobo3bobo$3288bobo
3bobo$3289bobo3bobo$3290bobo2b2obo$3291bob2ob2obo$3292bob2ob2obo$3293b
ob2ob2obo$3294bob2ob2obo$3295bob2ob2obo$3296bob2ob2obo$3297bob2o2bobo$
3298bobo2b2obo$3299bob2o2bobo$3300bobo2b2obo$3301bob2ob2obo$3302bob2o
2bobo$3303bobo3bobo$3304bobo3bobo$3305bobo3bobo$3306bobo2b2obo$3307bob
2o2bobo$3308bobo2b2obo$3309bob2o2bobo$3310bobo2b2obo$3311bob2ob2obo$
3312bob2ob2obo$3313bob2ob2obo$3314bob2ob2obo$3315bob2o2bobo$3316bobo3b
obo$3317bobo3bobo$3318bobo2b2obo$3319bob2ob2obo$3320bob2o2bobo$3321bob
o2b2obo$3322bob2o2bobo$3323bobo3bobo$3324bobo3bobo$3325bobo3bobo$3326b
obo3bobo$3327bobo3bobo$3328bobo2b2obo$3329bob2o2bobo$3330bobo2b2obo$
3331bob2ob2obo$3332bob2ob2obo$3333bob2ob2obo$3334bob2ob2obo$3335bob2ob
2obo$3336bob2ob2obo$3337bob2o2bobo$3338bobo3bobo$3339bobo2b2obo$3340bo
b2o2bobo$3341bobo2b2obo$3342bob2o2bobo$3343bobo3bobo$3344bobo2b2obo$
3345bob2ob2obo$3346bob2o2bobo$3347bobo2b2obo$3348bob2ob2obo$3349bob2o
2bobo$3350bobo3bobo$3351bobo2b2obo$3352bob2ob2obo$3353bob2o2bobo$3354b
obo2b2obo$3355bob2o2bobo$3356bobo3bobo$3357bobo3bobo$3358bobo2b2obo$
3359bob2o2bobo$3360bobo2b2obo$3361bob2o2bobo$3362bobo2b2obo$3363bob2ob
2obo$3364bob2ob2obo$3365bob2o2bobo$3366bobo3bobo$3367bobo2b2obo$3368bo
b2o2bobo$3369bobo2b2obo$3370bob2o2bobo$3371bobo2b2obo$3372bob2o2bobo$
3373bobo2b2obo$3374bob2ob2obo$3375bob2ob2obo$3376bob2o2bobo$3377bobo3b
obo$3378bobo3bobo$3379bobo3bobo$3380bobo2b2obo$3381bob2ob2obo$3382bob
2ob2obo$3383bob2ob2obo$3384bob2o2bobo$3385bobo3bobo$3386bobo2b2obo$
3387bob2ob2obo$3388bob2ob2obo$3389bob2o2bobo$3390bobo3bobo$3391bobo2b
2obo$3392bob2ob2obo$3393bob2ob2obo$3394bob2o2bobo$3395bobo2b2obo$3396b
ob2ob2obo$3397bob2ob2obo$3398bob2ob2obo$3399bob2o2bobo$3400bobo3bobo$
3401bobo2b2obo$3402bob2o2bobo$3403bobo2b2obo$3404bob2o2bobo$3405bobo2b
2obo$3406bob2ob2obo$3407bob2ob2obo$3408bob2ob2obo$3409bob2ob2obo$3410b
ob2o2bobo$3411bobo3bobo$3412bobo2b2obo$3413bob2o2bobo$3414bobo3bobo$
3415bobo3bobo$3416bobo2b2obo$3417bob2o2bobo$3418bobo3bobo$3419bobo3bob
o$3420bobo3bobo$3421bobo2b2obo$3422bob2ob2obo$3423bob2ob2obo$3424bob2o
b2obo$3425bob2o2bobo$3426bobo2b2obo$3427bob2ob2obo$3428bob2o2bobo$
3429bobo3bobo$3430bobo2b2obo$3431bob2ob2obo$3432bob2o2bobo$3433bobo2b
2obo$3434bob2o2bobo$3435bobo3bobo$3436bobo3bobo$3437bobo2b2obo$3438bob
2o2bobo$3439bobo2b2obo$3440bob2ob2obo$3441bob2o2bobo$3442bobo3bobo$
3443bobo3bobo$3444bobo3bobo$3445bobo2b2obo$3446bob2o2bobo$3447bobo2b2o
bo$3448bob2o2bobo$3449bobo3bobo$3450bobo3bobo$3451bobo3bobo$3452bobo3b
obo$3453bobo2b2obo$3454bob2o2bobo$3455bobo3bobo$3456bobo3bobo$3457bobo
2b2obo$3458bob2o2bobo$3459bobo2b2obo$3460bob2ob2obo$3461bob2ob2obo$
3462bob2ob2obo$3463bob2o2bobo$3464bobo2b2obo$3465bob2o2bobo$3466bobo3b
obo$3467bobo2b2obo$3468bob2o2bobo$3469bobo2b2obo$3470bob2ob2obo$3471bo
b2ob2obo$3472bob2ob2obo$3473bob2o2bobo$3474bobo3bobo$3475bobo2b2obo$
3476bob2o2bobo$3477bobo2b2obo$3478bob2ob2obo$3479bob2ob2obo$3480bob2ob
2obo$3481bob2o2bobo$3482bobo3bobo$3483bobo2b2obo$3484bob2o2bobo$3485bo
bo3bobo$3486bobo3bobo$3487bobo2b2obo$3488bob2ob2obo$3489bob2o2bobo$
3490bobo2b2obo$3491bob2o2bobo$3492bobo2b2obo$3493bob2o2bobo$3494bobo2b
2obo$3495bob2ob2obo$3496bob2o2bobo$3497bobo2b2obo$3498bob2o2bobo$3499b
obo3bobo$3500bobo2b2obo$3501bob2o2bobo$3502bobo2b2obo$3503bob2o2bobo$
3504bobo3bobo$3505bobo3bobo$3506bobo2b2obo$3507bob2ob2obo$3508bob2ob2o
bo$3509bob2ob2obo$3510bob2ob2obo$3511bob2ob2obo$3512bob2o2bobo$3513bob
o2b2obo$3514bob2o2bobo$3515bobo2b2obo$3516bob2o2bobo$3517bobo3bobo$
3518bobo2b2obo$3519bob2ob2obo$3520bob2o2bobo$3521bobo2b2obo$3522bob2ob
2obo$3523bob2o2bobo$3524bobo3bobo$3525bobo2b2obo$3526bob2o2bobo$3527bo
bo3bobo$3528bobo2b2obo$3529bob2o2bobo$3530bobo2b2obo$3531bob2o2bobo$
3532bobo3bobo$3533bobo3bobo$3534bobo2b2obo$3535bob2o2bobo$3536bobo3bob
o$3537bobo3bobo$3538bobo2b2obo$3539bob2ob2obo$3540bob2ob2obo$3541bob2o
b2obo$3542bob2o2bobo$3543bobo2b2obo$3544bob2o2bobo$3545bobo2b2obo$
3546bob2ob2obo$3547bob2ob2obo$3548bob2o2bobo$3549bobo2b2obo$3550bob2ob
2obo$3551bob2o2bobo$3552bobo2b2obo$3553bob2o2bobo$3554bobo2b2obo$3555b
ob2ob2obo$3556bob2o2bobo$3557bobo3bobo$3558bobo2b2obo$3559bob2o2bobo$
3560bobo3bobo$3561bobo3bobo$3562bobo2b2obo$3563bob2ob2obo$3564bob2ob2o
bo$3565bob2ob2obo$3566bob2ob2obo$3567bob2o2bobo$3568bobo3bobo$3569bobo
3bobo$3570bobo3bobo$3571bobo2b2obo$3572bob2ob2obo$3573bob2ob2obo$3574b
ob2ob2obo$3575bob2o2bobo$3576bobo2b2obo$3577bob2o2bobo$3578bobo2b2obo$
3579bob2ob2obo$3580bob2o2bobo$3581bobo2b2obo$3582bob2ob2obo$3583bob2o
2bobo$3584bobo3bobo$3585bobo2b2obo$3586bob2ob2obo$3587bob2ob2obo$3588b
ob2ob2obo$3589bob2o2bobo$3590bobo3bobo$3591bobo2b2obo$3592bob2o2bobo$
3593bobo3bobo$3594bobo2b2obo$3595bob2o2bobo$3596bobo2b2obo$3597bob2ob
2obo$3598bob2ob2obo$3599bob2ob2obo$3600bob2o2bobo$3601bobo2b2obo$3602b
ob2ob2obo$3603bob2o2bobo$3604bobo3bobo$3605bobo3bobo$3606bobo2b2obo$
3607bob2o2bobo$3608bobo3bobo$3609bobo3bobo$3610bobo3bobo$3611bobo2b2ob
o$3612bob2ob2obo$3613bob2ob2obo$3614bob2ob2obo$3615bob2o2bobo$3616bobo
2b2obo$3617bob2ob2obo$3618bob2o2bobo$3619bobo2b2obo$3620bob2o2bobo$
3621bobo2b2obo$3622bob2o2bobo$3623bobo2b2obo$3624bob2o2bobo$3625bobo2b
2obo$3626bob2ob2obo$3627bob2o2bobo$3628bobo3bobo$3629bobo2b2obo$3630bo
b2ob2obo$3631bob2o2bobo$3632bobo2b2obo$3633bob2ob2obo$3634bob2ob2obo$
3635bob2ob2obo$3636bob2o2bobo$3637bobo3bobo$3638bobo2b2obo$3639bob2ob
2obo$3640bob2o2bobo$3641bobo2b2obo$3642bob2o2bobo$3643bobo3bobo$3644bo
bo3bobo$3645bobo2b2obo$3646bob2ob2obo$3647bob2ob2obo$3648bob2ob2obo$
3649bob2ob2obo$3650bob2ob2obo$3651bob2o2bobo$3652bobo3bobo$3653bobo3bo
bo$3654bobo3bobo$3655bobo3bobo$3656bobo2b2obo$3657bob2ob2obo$3658bob2o
b2obo$3659bob2ob2obo$3660bob2ob2obo$3661bob2ob2obo$3662bob2ob2obo$
3663bob2ob2obo$3664bob2o2bobo$3665bobo2b2obo$3666bob2ob2obo$3667bob2ob
2obo$3668bob2o2bobo$3669bobo3bobo$3670bobo2b2obo$3671bob2ob2obo$3672bo
b2o2bobo$3673bobo2b2obo$3674bob2ob2obo$3675bob2o2bobo$3676bobo3bobo$
3677bobo3bobo$3678bobo3bobo$3679bobo2b2obo$3680bob2ob2obo$3681bob2o2bo
bo$3682bobo3bobo$3683bobo3bobo$3684bobo3bobo$3685bobo2b2obo$3686bob2o
2bobo$3687bobo3bobo$3688bobo2b2obo$3689bob2ob2obo$3690bob2o2bobo$3691b
obo3bobo$3692bobo3bobo$3693bobo3bobo$3694bobo3bobo$3695bobo2b2obo$
3696bob2o2bobo$3697bobo3bobo$3698bobo3bobo$3699bobo2b2obo$3700bob2o2bo
bo$3701bobo2b2obo$3702bob2ob2obo$3703bob2ob2obo$3704bob2ob2obo$3705bob
2ob2obo$3706bob2o2bobo$3707bobo3bobo$3708bobo3bobo$3709bobo2b2obo$
3710bob2o2bobo$3711bobo2b2obo$3712bob2o2bobo$3713bobo3bobo$3714bobo3bo
bo$3715bobo3bobo$3716bobo3bobo$3717bobo3bobo$3718bobo2b2obo$3719bob2o
2bobo$3720bobo2b2obo$3721bob2ob2obo$3722bob2ob2obo$3723bob2ob2obo$
3724bob2o2bobo$3725bobo2b2obo$3726bob2o2bobo$3727bobo3bobo$3728bobo2b
2obo$3729bob2ob2obo$3730bob2ob2obo$3731bob2o2bobo$3732bobo2b2obo$3733b
ob2o2bobo$3734bobo2b2obo$3735bob2ob2obo$3736bob2o2bobo$3737bobo2b2obo$
3738bob2o2bobo$3739bobo2b2obo$3740bob2o2bobo$3741bobo3bobo$3742bobo2b
2obo$3743bob2o2bobo$3744bobo3bobo$3745bobo2b2obo$3746bob2o2bobo$3747bo
bo2b2obo$3748bob2o2bobo$3749bobo3bobo$3750bobo2b2obo$3751bob2o2bobo$
3752bobo2b2obo$3753bob2o2bobo$3754bobo3bobo$3755bobo2b2obo$3756bob2o2b
obo$3757bobo3bobo$3758bobo3bobo$3759bobo2b2obo$3760bob2ob2obo$3761bob
2ob2obo$3762bob2ob2obo$3763bob2o2bobo$3764bobo2b2obo$3765bob2o2bobo$
3766bobo2b2obo$3767bob2ob2obo$3768bob2o2bobo$3769bobo2b2obo$3770bob2ob
2obo$3771bob2o2bobo$3772bobo2b2obo$3773bob2ob2obo$3774bob2o2bobo$3775b
obo3bobo$3776bobo2b2obo$3777bob2ob2obo$3778bob2ob2obo$3779bob2o2bobo$
3780bobo3bobo$3781bobo3bobo$3782bobo2b2obo$3783bob2ob2obo$3784bob2ob2o
bo$3785bob2ob2obo$3786bob2ob2obo$3787bob2ob2obo$3788bob2o2bobo$3789bob
o3bobo$3790bobo2b2obo$3791bob2ob2obo$3792bob2ob2obo$3793bob2ob2obo$
3794bob2o2bobo$3795bobo2b2obo$3796bob2ob2obo$3797bob2ob2obo$3798bob2ob
2obo$3799bob2ob2obo$3800bob2ob2obo$3801bob2o2bobo$3802bobo2b2obo$3803b
ob2ob2obo$3804bob2ob2obo$3805bob2ob2obo$3806bob2ob2obo$3807bob2ob2obo$
3808bob2ob2obo$3809bob2ob2obo$3810bob2ob2obo$3811bob2o2bobo$3812bobo2b
2obo$3813bob2ob2obo$3814bob2o2bobo$3815bobo3bobo$3816bobo2b2obo$3817bo
b2ob2obo$3818bob2ob2obo$3819bob2o2bobo$3820bobo2b2obo$3821bob2o2bobo$
3822bobo2b2obo$3823bob2ob2obo$3824bob2o2bobo$3825bobo3bobo$3826bobo3bo
bo$3827bobo3bobo$3828bobo2b2obo$3829bob2ob2obo$3830bob2o2bobo$3831bobo
2b2obo$3832bob2ob2obo$3833bob2ob2obo$3834bob2ob2obo$3835bob2o2bobo$
3836bobo2b2obo$3837bob2ob2obo$3838bob2o2bobo$3839bobo3bobo$3840bobo3bo
bo$3841bobo3bobo$3842bobo3bobo$3843bobo2b2obo$3844bob2o2bobo$3845bobo
2b2obo$3846bob2ob2obo$3847bob2o2bobo$3848bobo2b2obo$3849bob2ob2obo$
3850bob2ob2obo$3851bob2ob2obo$3852bob2ob2obo$3853bob2ob2obo$3854bob2o
2bobo$3855bobo2b2obo$3856bob2o2bobo$3857bobo2b2obo$3858bob2ob2obo$
3859bob2o2bobo$3860bobo3bobo$3861bobo2b2obo$3862bob2ob2obo$3863bob2o2b
obo$3864bobo2b2obo$3865bob2o2bobo$3866bobo3bobo$3867bobo2b2obo$3868bob
2o2bobo$3869bobo3bobo$3870bobo2b2obo$3871bob2o2bobo$3872bobo3bobo$
3873bobo2b2obo$3874bob2o2bobo$3875bobo3bobo$3876bobo2b2obo$3877bob2ob
2obo$3878bob2o2bobo$3879bobo2b2obo$3880bob2o2bobo$3881bobo2b2obo$3882b
ob2o2bobo$3883bobo2b2obo$3884bob2o2bobo$3885bobo3bobo$3886bobo3bobo$
3887bobo3bobo$3888bobo2b2obo$3889bob2ob2obo$3890bob2ob2obo$3891bob2o2b
obo$3892bobo3bobo$3893bobo3bobo$3894bobo2b2obo$3895bob2ob2obo$3896bob
2ob2obo$3897bob2o2bobo$3898bobo2b2obo$3899bob2o2bobo$3900bobo2b2obo$
3901bob2o2bobo$3902bobo3bobo$3903bobo3bobo$3904bobo2b2obo$3905bob2ob2o
bo$3906bob2ob2obo$3907bob2ob2obo$3908bob2ob2obo$3909bob2o2bobo$3910bob
o2b2obo$3911bob2o2bobo$3912bobo3bobo$3913bobo3bobo$3914bobo2b2obo$
3915bob2o2bobo$3916bobo2b2obo$3917bob2o2bobo$3918bobo2b2obo$3919bob2ob
2obo$3920bob2ob2obo$3921bob2ob2obo$3922bob2ob2obo$3923bob2ob2obo$3924b
ob2ob2obo$3925bob2o2bobo$3926bobo2b2obo$3927bob2ob2obo$3928bob2ob2obo$
3929bob2o2bobo$3930bobo3bobo$3931bobo2b2obo$3932bob2o2bobo$3933bobo2b
2obo$3934bob2ob2obo$3935bob2ob2obo$3936bob2o2bobo$3937bobo2b2obo$3938b
ob2o2bobo$3939bobo3bobo$3940bobo2b2obo$3941bob2o2bobo$3942bobo3bobo$
3943bobo2b2obo$3944bob2o2bobo$3945bobo2b2obo$3946bob2o2bobo$3947bobo2b
2obo$3948bob2ob2obo$3949bob2o2bobo$3950bobo2b2obo$3951bob2ob2obo$3952b
ob2ob2obo$3953bob2o2bobo$3954bobo2b2obo$3955bob2o2bobo$3956bobo2b2obo$
3957bob2ob2obo$3958bob2ob2obo$3959bob2ob2obo$3960bob2o2bobo$3961bobo2b
2obo$3962bob2o2bobo$3963bobo2b2obo$3964bob2ob2obo$3965bob2o2bobo$3966b
obo3bobo$3967bobo2b2obo$3968bob2o2bobo$3969bobo3bobo$3970bobo3bobo$
3971bobo2b2obo$3972bob2o2bobo$3973bobo3bobo$3974bobo3bobo$3975bobo3bob
o$3976bobo2b2obo$3977bob2ob2obo$3978bob2o2bobo$3979bobo3bobo$3980bobo
2b2obo$3981bob2o2bobo$3982bobo2b2obo$3983bob2o2bobo$3984bobo3bobo$
3985bobo3bobo$3986bobo3bobo$3987bobo3bobo$3988bobo2b2obo$3989bob2ob2ob
o$3990bob2o2bobo$3991bobo3bobo$3992bobo3bobo$3993bobo3bobo$3994bobo3bo
bo$3995bobo3bobo$3996bobo2b2obo$3997bob2o2bobo$3998bobo2b2obo$3999bob
2o2bobo$4000bobo2b2obo$4001bob2o2bobo$4002bobo3bobo$4003bobo3bobo$
4004bobo3bobo$4005bobo3bobo$4006bobo2b2obo$4007bob2o2bobo$4008bobo3bob
o$4009bobo3bobo$4010bobo2b2obo$4011bob2ob2obo$4012bob2o2bobo$4013bobo
2b2obo$4014bob2ob2obo$4015bob2ob2obo$4016bob2ob2obo$4017bob2ob2obo$
4018bob2ob2obo$4019bob2o2bobo$4020bobo3bobo$4021bobo2b2obo$4022bob2o2b
obo$4023bobo2b2obo$4024bob2ob2obo$4025bob2o2bobo$4026bobo2b2obo$4027bo
b2o2bobo$4028bobo3bobo$4029bobo3bobo$4030bobo3bobo$4031bobo2b2obo$
4032bob2o2bobo$4033bobo3bobo$4034bobo2b2obo$4035bob2ob2obo$4036bob2ob
2obo$4037bob2ob2obo$4038bob2o2bobo$4039bobo3bobo$4040bobo3bobo$4041bob
o2b2obo$4042bob2ob2obo$4043bob2o2bobo$4044bobo3bobo$4045bobo2b2obo$
4046bob2ob2obo$4047bob2o2bobo$4048bobo2b2obo$4049bob2o2bobo$4050bobo3b
obo$4051bobo2b2obo$4052bob2ob2obo$4053bob2ob2obo$4054bob2ob2obo$4055bo
b2ob2obo$4056bob2ob2obo$4057bob2o2bobo$4058bobo3bobo$4059bobo2b2obo$
4060bob2ob2obo$4061bob2o2bobo$4062bobo2b2obo$4063bob2o2bobo$4064bobo2b
2obo$4065bob2ob2obo$4066bob2o2bobo$4067bobo3bobo$4068bobo2b2obo$4069bo
b2o2bobo$4070bobo2b2obo$4071bob2o2bobo$4072bobo2b2obo$4073bob2ob2obo$
4074bob2o2bobo$4075bobo3bobo$4076bobo2b2obo$4077bob2ob2obo$4078bob2ob
2obo$4079bob2o2bobo$4080bobo3bobo$4081bobo3bobo$4082bobo3bobo$4083bobo
3bobo$4084bobo2b2obo$4085bob2o2bobo$4086bobo3bobo$4087bobo2b2obo$4088b
ob2o2bobo$4089bobo3bobo$4090bobo2b2obo$4091bob2ob2obo$4092bob2ob2obo$
4093bob2o2bo$4094bobo$4095bobo$4096bo!

Edit: no c/5d at diagonal width 5b according to rlifesrc. max partial:

Code: Select all

x = 60, y = 60, rule = B34kz5e7c8/S23-a4ityz5k
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.....................................oo.....................$
...............................ooo...ooo....................$
...............................o.o.o.o.ooo..................$
..............................oooo.......??.................$
.................................ooooo.?????................$
....................................?????????...............$
..................................o???????????..............$
..................................o????????????.............$
..................................o?????????????............$
...................................??????????????...........$
...................................???????????????..........$
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.....................................???????????????........$
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...........................................???????????????..$
............................................???????????????.$
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................................................????????????$
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..................................................??????????$
...................................................?????????$
....................................................????????!

here's width 8 max for flip\

Code: Select all

x = 60, y = 60, rule = B34kz5e7c8/S23-a4ityz5k
............................................................$
...o...oo...................................................$
..oooooo.o..................................................$
.o..o.oo....................................................$
oo..o.oo....................................................$
.o.ooooo....................................................$
.o..o..o....................................................$
..o.ooo..o.o................................................$
...oo.o.oo.o................................................$
.....oo.o.....oo............................................$
.....oo.......oo............................................$
.........o..oo.o............................................$
.........ooo.ooo..o.........................................$
.............oo....o........................................$
.................oo.........................................$
..........oo....o..o........................................$
...........o....o...oo......................................$
............oo..o...........................................$
.............oo.o.o.o.oo??..................................$
..............oo.....oo????.................................$
................oo..ooo?????................................$
................ooo??????????...............................$
..................????????????..............................$
..................?????????????.............................$
.................???????????????............................$
..................???????????????...........................$
...................???????????????..........................$
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...........................................???????????????..$
............................................???????????????.$
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................................................????????????$
.................................................???????????$
..................................................??????????$
...................................................?????????$
....................................................????????!

[yujh]

Sorry for double post, but here is a c/5d from rlifesrc, minpop 41

Code: Select all

x = 14, y = 19, rule = B34kz5e7c8/S23-a4ityz5k
4bo$2bob2o$b2obo$bob2o$o4b2o4b3o$9b2ob2o$3bo8bo$7bo3bo$5b2o$5bo2bo$4b
2o2bo$7bo$8bo$8bo$9b2o2$11bo$11b2o$11b2o!

[DroneBetter]

This rule is omniperiodic, thanks to some help from Drone_Better pointing out some important parts for the adjustable oscillators in this rule and inspiring me. Here is the thing.
On January 29th Drone_Better messaged me this thing:

Code: Select all

x = 22, y = 22, rule = B34kz5e7c8/S23-a4ityz5k
13bobo$13b3o2$13b3o$12bo3bo$12bob2obo$10b2obo2bobob2o$4bo5bobo3bobobo$
3bobo2b2obo3bo2bob2o$3bobo2bobo3bob2o$b2obob2obo3bobo$obobobobo3bob2o$
bo3bobo3bobo$6bo3bob2o$9bobo$8bob2o$9bo2b2o$10b2o2bo$12b2o$10b2o$9bobo
$10bo!

I actually found it in the xp4_g8gidrk4o0o4krdig8gz1169ba5210125ab9611zo8mpdlq4o0o4qldpm8oz0104bd2210122db401 radially-symmetrical oscillator.

Regarding the p13 (of which yujh's example is extremely large), after an exhaustive search with a Python script, I found that no p13s exist in tapes of up to width 26 (after which I had a memory error because it currently takes exponential space complexity).

Also, based on the LWSS/36 iterations siderake and some other interesting-looking ones found by searching the C1 yl72 list (and eliminating reactions between them found by accident when arranging them next to each other), about a week ago I began an incompact but interesting c/2 LWSS/72 iterations backrake. I thought it would be impossible to complete, due to the stags with their 'antlers' facing in the opposite direction from that of the eater spaceships' travel, but they can be converted to blinkers by the xq16_e9bgzz79d6, which also destroys the out-of-phase LWSSs (the in-phase ones destroy themselves and the blinkers) and the blinkers on the opposite side, so I couldn't have completed this design if the input to the hash for the haul in which the xq16 was found was slightly different, if it had been slightly earlier or later. I like it most out of all those I've made so far.

Code: Select all

x = 384, y = 121, rule = B34kz5e7c8/S23-a4ityz5k
34bo$31bo3bo$31b2o2bo$31b2ob2o$32b2o3$43bo17bo17bo17bo17bo10b3o$43bo
17bo17bo17bo17bo9b2obo10bo$43bo17bo17bo17bo17bo9bo2bo10bo$125b3o$121b
3o$120bo3bo$120bo3bo14b2o$121bo17bo4bo$64b2o3b2o51b2o15bo5b2o$63b3o4b
2o41b3o6b3o6b3o7b3o2b2o$62b2o29bob4o43b3obo$63bo29b3ob2o44b3o$64bo30b
2obo2$69b2o4b2o120b4o$68bo2bo128bo$68bo2bo122b2o$68b3ob2o119bo4b2o$71b
o2bo117b2o2bobo$71bo2bo118b3o2bo$71b3o120b3o3$201bo$201bo$201bo$195b3o
6$377bo$376b3o$56bo5bo5bo29bo5bo32bo35bo35bo165b2ob2o$53bo8b3ob3o29b3o
b3o32bo35bo35bo167bo$53b2o8b2ob2o31b2ob2o32b2o34b2o34b2o19b2o150bo$53b
o2bo8bo35bo127bo3bo2b2o142b3o$53b3o78b3o33b3o33b3o7b3o2b2o9b3o2b2o4b3o
6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o8bob2o$220b2ob
o5bo6b2o143b2o$136b2o34b2o34b2o11b2obo4bo6bo$137bo35bo35bo12b2o5bo3bo$
137bo35bo28bo6bo19bo3bo$202bo28bo135bo$200bobobo165bo$58b3o33b3o33b3o
33b3o29b3o3b3o$36bo328b4o$39bo324b3o$38b2o323bobobo$36bo2bo9b2o312bobo
bo$37b3o9bobo87bo224b6o$49bob2o85b3o224bob4o$49b3o86bob2o225b2o2bo$49b
2o88b3o226bo2b2o$139b2o136b3o88b4o$46bo71bo158bo7b2o83bo$44b3o69bobo
159bo3b5o27b2o34b3o$45b4o68b2o164b2obo27bob2o19bo10bobobo$45b3o234b2o
2bo23b2o2bo22bo10b2o2bo$48b4o229b2o4bo21bobo3bo21bo10bo2bo$48b2ob2o
227b2o3bo23bo2bo6bo11b3o15b3o$48b2obo98bo5bo29bo5bo29bo5bo52b2ob2o23bo
2b3o$49b2o99bo5bo29bo5bo29bo5bo53b3o25bo3b2o2bo$150bo5bo29bo5bo29bo5bo
88bo$152b3o33b3o33b3o85bo2bo16b3o$313b3o19b2o$73b3o33b3o20bo12b3o20bo
12b3o20bo12b3o20bo35bo29b3o21bo5bo$132bo35bo35bo35bo35bo53bo4b2o$76bo
35bo19bo15bo8bo10bo15bo19bo15bo19bo20b2o13bo53bo$76bo35bo35bo7b3o25bo
35bo39b2obo67bobo$76bo35bo35bo7bob2o24bo35bo40b2o68b3o$157b3o102bo$73b
3o33b3o33b3o9b2o22b3o33b3o2$331b3o$42b2o$42b4o$41bo2bobo$41b3o2bo$41b
6o3$o$3bo$2b2o$o2bo$b3o171bo$174b3o$174bob2o$172b2obo$171b2obo$172b2o
4bo$173bo5bo$179bo$167b2o29bobo$166bo29b3o2b2o44b2o$166bo4bo2bo21bo3bo
16bo8bo8bo9b2o2bo$166b2obo3bo25bo17bo8bo8bo9bo3bo$168bo3b2o43bo8bo8bo
7bo4b2o$225bo15b2o4bo$205b2o17b3o20bo$205b2o16b2ob2o12bobobo$225bo14bo
bobo$229bo$228b3o10b3o$b3o33b3o33b3o33b3o33b3o15b3o15b3o15b3o15b3o8bob
2o$229b2o4$215bo$218bo2$216bo!

Other discoveries:
yl60_1_12_a2dc92766b1fcf5f56a14730fb3fcb35, the first p60 linear growth pattern, an extremely sparky xs12_2570752 puffer stabilised by two LWSSs.

Code: Select all

x = 8, y = 25, rule = B34kz5e7c8/S23-a4ityz5k
2b2o$2ob2o$4o$b2o4$3bo$2b5o$7bo$2b2o3bo$2b6o2$2b6o$2b2o3bo$7bo$2b5o$3b
o4$b2o$4o$2ob2o$2b2o!

xp180_yh25d707d52zzzzsis8yc8kq56065qk8yc8siszeie4yc4am8o0o8ma4yc4eiezyj1x1zzzyhg8co0oc8gzyi1110111, a p180 oscillator based on a flip-flop reaction between the p90 shuttle and a still life, is now seminatural.

Code: Select all

x = 31, y = 31, rule = B34kz5e7c8/S23-a4ityz5k
ooooobbobobooboooboobobobbooooo$
obbboobbbbbbbbbobbbbbbbbboobbbo$
obboobboooobbooboobboooobboobbo$
oboobbbbobobobbbbbobobobbbboobo$
ooobbbobobobooooooobobobobbbooo$
bobbbbboobobbobbbobboboobbbbbob$
bbbbobbbobbbbooboobbbbobbbobbbb$
obobbobbooooooooooooooobbobbobo$
bboooooobobbobobobobboboooooobb$
obobbbbooooobbooobbooooobbbbobo$
bbooooboboooobbbbbooooboboooobb$
obbbbbboboooobbbbboooobobbbbbbo$
obboobbooboobobbbobooboobboobbo$
bboboooobbbbooobooobbbboooobobb$
oboboboooobbbooboobbboooobobobo$
oobbobbobobbbbbobbbbbobobbobboo$
oboboboooobbbooboobbboooobobobo$
bboboooobbbbooobooobbbboooobobb$
obboobbooboobobbbobooboobboobbo$
obbbbbboboooobbbbboooobobbbbbbo$
bbooooboboooobbbbbooooboboooobb$
obobbbbooooobbooobbooooobbbbobo$
bboooooobobbobobobobboboooooobb$
obobbobbooooooooooooooobbobbobo$
bbbbobbbobbbbooboobbbbobbbobbbb$
bobbbbboobobbobbbobboboobbbbbob$
ooobbbobobobooooooobobobobbbooo$
oboobbbbobobobbbbbobobobbbboobo$
obboobboooobbooboobboooobboobbo$
obbboobbbbbbbbbobbbbbbbbboobbbo$
ooooobbobobooboooboobobobbooooo!

Edit (2023-02-03): Note that the aforementioned Python script is now superseded by my new one, that is six times faster (with SWAR computation with bitwise operators and searching only states nonequivalent under action of reflection, as explained in User:DroneBetter/miscellaneous curiosities#twofold reducer) and much nicer

[FWKnightship]

New p5:

Code: Select all

x = 40, y = 21, rule = B34kz5ae7c8/S23-a4ityz5k
6bob2ob2obo15b2o$6b2obobob2o16bo$29bo$6b3o3b3o14b5o$5bo3bobo3bo17bo$4b
obo2bobo2bobo8b2o2b3o$2obobo3bobo3bobob2o4bo2bo6b2o$bobo13bobo6bobo7bo
$o2bo13bo2bo4b2obobo3bobob2o$2o2b3o7b3o2b2o8bobo2bobo2bo$30bo3bob2o$2o
2b3o7b3o2b2o10b3o$o2bo13bo2bo$bobo13bobo11b2obo$2obobo3bobo3bobob2o10b
ob2o$4bobo2bobo2bobo$5bo3bobo3bo$6b3o3b3o2$6b2obobob2o$6bob2ob2obo!

6c/12:

Code: Select all

x = 35, y = 14, rule = B34kz5e7c8/S23-a4ityz5k
15bo3bo$10bo3b3ob3o3bo$b3o5b3o4bobo4b3o5b3o$o2bo4b2o4bobobobo4b2o4bo2b
o$2b2o4bo7bobo7bo4b2o$3bo3bo19bo3bo$o6bo19bo6bo$6bo2bo15bo2bo$6b3o6b2o
b2o6b3o$15b2ob2o4$6b3o17b3o!

[yujh]

This is a reduction to the synthesis of the xq26, thanks to cyclotron's script

Code: Select all

x = 23, y = 24, rule = B34kz5e7c8/S23-a4ityz5k
obo$b2o$bo19$b2o18bo$obo17b2o$2bo17bobo!

There is also this 3g p4

Code: Select all

x = 18, y = 18, rule = B34kz5e7c8/S23-a4ityz5k
2bo$obo$b2o13$4b3o9b2o$6bo8b2o$5bo11bo!

Also, I don't know why Drone better didn't edit their post yet, but the p180 is found by FWK back in 2020

Here are some synthesis, note all other are known

Code: Select all

x = 72, y = 65, rule = B34kz5e7c8/S23-a4ityz5k
obo28bo3bobo4bob2o$2o29b2o2b2o4bob2obo$bo8b2o18bobo3bo5b2obo$10bo2bo$
2bo9b2o$2b2o$bobo24$2bo4bo23bo30bo$obo2b2o25bo27bobo$b2o3b2o22b3o28b2o
5$6b2o$6bobo25b2o3bo21bo$6bo26bobo2b2o21bobo$35bo2bobo20b2o$65b2o$64b
2o$66bo7$5bo$2b4o30b2o$2bo2bo30b2o$2b3ob3o27b2o$6b3o27b2o$7bo28b2o$36b
2o$67b2o$66bo2bo$65bo4bo$64bo6bo$64bo6bo$65bo4bo$66bo2bo$67b2o!

Edit: a lot ore, hopefully everyone understand the Fake LWSS is 3g and the rarer is 4g

Code: Select all

x = 549, y = 142, rule = B34kz5e7c8/S23-a4ityz5k
obo28bo3bobo4bob2o$2o29b2o2b2o4bob2obo$bo8b2o18bobo3bo5b2obo$10bo2bo$
2bo9b2o$2b2o$bobo24$2bo4bo23bo30bo36bo24bo26bo38bo19bo21bo3bobo11bobo
37bo21bo17bo45bo35bo29bo27b3o5b2o25b2o24bo6bobo$obo2b2o25bo27bobo35bo
25bobo25bo38bo19b2o20bo2b2o13b2o35b2o20b2o19b2o43b2o2b2o31b2o28b2o27bo
4b2o26bobo24bo5b2o$b2o3b2o22b3o28b2o35b3o23b2o24b3o36b3o18b2o3bo15b3o
3bo13bo37b2o20b2o17b2o43bobo2bobo29b2o28b2o2b3o22bo7bo20b3o2bo24b3o6bo
$215b2o98bo4b2o58bo67bo53bo$154bo59bobo45bobo49b2o4bobo124bo27b2o24bo$
91bo3bo29b2o26b2o36b2o69b2o25b3o22bobo3bo92b3o5bobo16b2o34b2o53b2o$92b
o2bobo22b2o2b2o27bobo8b3o23bobo18b2o50bo25bo125bo5b2o18b2o32bo27b2o27b
2o$6b2o82b3o2b2o24b2o3bo37bo27bo17bobo77bo123bo7bo17bo63b2o25bo$6bobo
25b2o3bo21bo58bo44bo46bo46b3o80bo160bo$6bo26bobo2b2o21bobo197bo78b2o$
35bo2bobo20b2o197bo80b2o$65b2o$64b2o$66bo270b3o$180b3o156bo$182bo155bo
$181bo266bo26b2o$370b2o75bobo24bobo$191b2o178b2o75bo25bob2o$191bo21bo
56b2o82b3o13bo42bo35b3o21b2obo$5bo186bo19bobo56b2o81bo2bo54bobo36bo22b
obo70b2o$2b4o30b2o85bo29b2o36b2o20bobo54bo46b3o33bo57bobo60b2o28b2o40b
obo$2bo2bo30b2o85b3o26bobo59bo26b3o72b3o34b3o54bobo90bo2bo38bobo$2b3ob
3o27b2o87bo26b2o87bo112b3o54bo92b2o40bo$6b3o27b2o60b2o25b2o115bo42bo$
7bo28b2o60bo185bobo103b2o$36b2o58bobo186bo103bo2bo$67b2o27b2o133bo24b
2o131bo2bo$66bo2bo160bobo24bo132b2o$65bo4bo159b2o25b2o$64bo6bo$64bo6bo
$65bo4bo$66bo2bo$67b2o16$2bo80bobo29bo25bo24bo$obo80b2o28b2o24b2o25bob
o$b2o81bo29b2o24b2o24b2o2$110b3o51bo$4b2o104bo5bo19bo28b2o$3b2ob2o103b
o4bobo15bobo2bobo22b2o$4b4o108b2o17b2o2b2o$5b2o93b2o38bo$101b2o$100bo
60b2o$160bobo$162bo$131b2o$130bobo$4b2obo124bo$3b2obo$4b4o$5b2o6$137b
2o$136bo2bo24b2o$67bo68bobo26bo$60bo5b2o69bo26bo$59bo6bobo43bo50bo$59b
3o50b3o48b2o$115bo$114bobo$61bo53b2o$61b2o$60bobo23$40bobo$40b3o2$40b
3o$40bobo!

(some 4gs might be reduced)Edit3: added a bit more

[FWKnightship]

P8 B track, repeat time 64:

Code: Select all

x = 85, y = 91, rule = B34kz5e7c8/S23-a4ityz5k
82bo$83bo$84bo$80b2ob2o$80bo$81bo$82bo12$79b2o$79bobo$62bo13bo5bo$63bo
13bobo$64bo13b2o$60b2ob2o$60bo$61bo$62bo12$59b2o$59bobo$42bo13bo5bo$
43bo13bobo$44bo13b2o$40b2ob2o$40bo$41bo$42bo7$29bo$28b3o$27bo2b2o$26bo
3bo$29b3o$28bo2b3o5b2o$30bo8bobo$22bo13bo5bo$23bo9bo3bobo$24bo5b3o5b2o
$20b2ob2o$20bo$21bo$22bo6bo$27b3o$27bo2bo$27bo3b3o$28bo2b3o$3bo11bo16b
2o$2b2o11b2o$b2o13b2o$2b2o11b2o$32b2o$28bo2b3o$27bo3b3o$19b2o6bo2bo$
19bobo5b3o$2bo13bo5bo6bo$3bo13bobo$4bo13b2o$2ob2o21b2o$o25b2o$bo$2bo
28bo2$27b2o$26b3o3bo$27bob3o!

EDIT:P50:

Code: Select all

x = 50, y = 41, rule = B34kz5e7c8/S23-a4ityz5k
37bo5bo2$35bo3bobo3bo$35bobobobobobo$33b2obob2ob2obob2o$35bo9bo$31bo2b
o11bo2bo$35bo9bo$33b3o9b3o2$33b3o9b3o$35bo9bo$31bo2bo11bo2bo$35bo9bo$
33b2obob2ob2obob2o$25b3o7bobobobobobo$25bo2bo6bo3bobo3bo$25bo$26bo10bo
5bo$29bo$28bo2$6bo5bo2$4bo3bobo3bo$4bobobobobobo$2b2obob2ob2obob2o$4bo
9bo$o2bo11bo2bo$4bo9bo$2b3o9b3o2$2b3o9b3o$4bo9bo$o2bo11bo2bo$4bo9bo$2b
2obob2ob2obob2o$4bobobobobobo$4bo3bobo3bo2$6bo5bo!

[DroneBetter]

I began apgsearching the D8_4 symmetry. yujh said I most likely wouldn't find anything useful in it, but I found some new elementary c/2 spaceships and puffer tagalongs (which yujh thinks are uninteresting) in D8_1, and thought increasing (so far decupling) the search volume would be good in any case, to prove there are no interesting/useful things and confirm yujh's suspicions.

However, the suspicions were incorrect.

Most interesting is yl144_3_216_8fad73491ed7215cfdce0c924dbdcedc, there are several yl144s in C1 (based on uninteresting period-doubling mechanisms in yl72 dirty puffers (of which there are many)) so I wasn't too interested when I saw the category appear. However, this one is a puffer comprised of two blinker-puffers in a xq24_75piicwciip57 (which, incidentally, now has two natural occurrences in C1) with two LWSSs on either side. But what's very interesting is that it produces xq8_4197z4giss behind it that are subsequently destroyed in a collision with two tubs.

Code: Select all

x = 32, y = 32, rule = B34kz5e7c8/S23-a4ityz5k
bbobooobobobboobboobbobobooobobb$
bbbbobobbbooobobbobooobbbobobbbb$
oboobbboboobooobboooboobobbboobo$
bbobobbbbbbobbboobbbobbbbbbobobb$
oobobbooboboobobbobooboboobboboo$
obbbbooobbboobobboboobbbooobbbbo$
oobbooooobbbbboooobbbbbooooobboo$
bboboooobobooboooobooboboooobobb$
obbbbboboobooooooooooboobobbbbbo$
bbobobboooobbbboobbbboooobbobobb$
ooobbbbbboboooooooooobobbbbbbooo$
bobooobooboobboooobbooboobooobob$
boobooboobobboobboobboboobooboob$
obobbbbboboboobooboobobobbbbbobo$
oooboooooboooboooobooobooooobooo$
bbbobboooooobooooooboooooobbobbb$
bbbobboooooobooooooboooooobbobbb$
oooboooooboooboooobooobooooobooo$
obobbbbboboboobooboobobobbbbbobo$
boobooboobobboobboobboboobooboob$
bobooobooboobboooobbooboobooobob$
ooobbbbbboboooooooooobobbbbbbooo$
bbobobboooobbbboobbbboooobbobobb$
obbbbboboobooooooooooboobobbbbbo$
bboboooobobooboooobooboboooobobb$
oobbooooobbbbboooobbbbbooooobboo$
obbbbooobbboobobboboobbbooobbbbo$
oobobbooboboobobbobooboboobboboo$
bbobobbbbbbobbboobbbobbbbbbobobb$
oboobbboboobooobboooboobobbboobo$
bbbbobobbbooobobbobooobbbobobbbb$
bbobooobobobboobboobbobobooobobb!

To make it a backrake, I needed to remove the stag oscillators on the outside (which is quite easy (I discovered the xq16_e9bgzz79d6 can do so without any xq8_1qies for the two orientations)), and destroy the blinkers and tubs with the outputs of period-144 rakes (I couldn't use xq8_1qie's or other eaters because they would collide with the xq8_4197z4gis). I began making a period-quadrupler for the glider frontrake with the xq16_e9bgzz79d6, but could only make LWSSs (and couldn't convert them, so gave up).

Code: Select all

x = 134, y = 42, rule = B34kz5e7c8/S23-a4ityz5k
22b2o3b3o26bo$29bo26b2o$29bo27b2o$25bo2bo27b2o$25b2o26b2o$53b2o$24b3o
25bo$23bo2bo25b3o$22bo3bo24b2ob2o$27b3o24bobo$24bo4bo25b3o$25bo3bo27b
2o$28bo27b2o$o2bo23bo28bo$4bo$2bobo$b4o2$85bo16bo10b3o$86b2o14bo9b2obo
$85b2o15bo9bo2bo$12bo3bo38b2o55b3o$12bo4bo38b2o50b3o$11bo5b2o36bo51bo
3bo$15b3o89bo3bo$13b4o91b3o$130b3o$47b2o27bo22bo8bo8bo7b5o3bo$47b3o27b
2o20bo8bo8bo6bo2bo5bo$47bob2o25b2o21bo8bo8bo6bo6b3o$47bobo14b2o11bo45b
o4bobo$47b2o16b2o56b3o$64bo59bo3$79b3o15b3o$78bo4bo8b5o3bo$77bo5bo7bo
2bo5bo$77bo13bo6b3o$77bo5bo6bo4bobo$78bo2b3o6b3o$80b2o9bo!

(Gliders were necessary because LWSSs don't work for destroying them, because either the stag-eaters are in the way, or I move them back and the stags are in the way (and it's less compact unnecessarily), or I move the LWSS rakes back and the puffings they attempt to destroy have destroyed the xq8_4197z4gis's already.)

I ended up using three of this already-p144 one (converting its to xq26_1rmcs to gliders), one for the tubs (for which I found a single-glider elimination reaction by sheer luck) and two for the blinkers.

c/2 siderake of xq26_1rmc (the 10c/26 spaceship)/72 cells (144 iterations).

Code: Select all

x = 148, y = 41, rule = B34kz5e7c8/S23-a4ityz5k
60b2o$60bobo$62bo$60b3o$59bo$35b2o7bo$35b3o7b3o$35bob2o8bo88bo$35bobo
7bobo87b3o$35b2o8b2o88b2obo$26bo110b2o$27b3o106b2o$29bo27bo26bo18bo25b
o5bo9b3o$27bobo27bo26bo18bo10b3o12bo5bo3bo7bo$27b2o28bo26bo17bo26bo14b
o2bo$137b3o4b3o$102bo2b3o32b2o$54bo48b3ob3o$54bo48bo$o53bo17bo17b2o$o
25bo2bo42bo17bobo$o24bo46bo18b2o18b3o$25bobo83b3o21bo2bo5bo$25b4o54bo
20bo2b2o3bo22b4o6bo$83bo18b2obo2b2o17b2o6bo6bo2bo$83bo18bo2bo2bo18b3o
7bo6b2o$102bo23bo2bo$103bo2bo20b2o10b2ob2o$33b2o70bo21bo2bo$33bobo91bo
2bo$35bo92bo$33b3o35bo$32bo38bo$71bo3$41b2o$41bobo$43bo$41b3o$40bo!

It can also work as a period-144 glider backrake simultaneously on the same side, if you remove the blinker and LWSS early instead of letting them collide cleanly.

Anyway, here's the first xq8_4197z4gis backrake.

Code: Select all

x = 265, y = 312, rule = B34kz5e7c8/S23-a4ityz5k
112bo$112b2o$113b2o$112b2o$109b2o$109b2o$74b2ob2o$73bo2bob2o$77b2o$74b
4o$70bo41b2o$67bo3bo38bo2b2o$67b2o2bo40b2o$67b2ob2o40bo$68b2o11$95b6o$
95b3o2bo$95bo2bobo$96b4o79bo$96b2o80b3o$39bo137b2ob2o$38bo71bo$38b3o
69bo$87b6o17bo$87b3o2bo$87bo2bobo36bo3bo45bo$88b4o36bo4bo46bo$73bo14b
2o37b2o2bo2bo19bob4o13bo5bo15b3ob2o$74b2o52bo24bo3b4o7b3o2bo19bo$73b2o
47bo6b4o25bob2o31bo7b2o$122bo7bo25bo3bo10bo19b2o2bobobo2bo$46b4o72bo
34b3o11bo19bobo8bo$46bobo88bo20bo12bo18b2obo7bo$39bo6bo64bo24b3o51b2ob
2o$39bo7bo2bo60bo23b2obo29b3o6b5o9b3o$39bo53bo17bo23bo46b2o8bo$93bo40b
2o47bo$93bo39b2o4bo36bo6bo$132b3o2b4o37b2o2bo14b2o$82b2o50bo40bob4o13b
3o4b3o$82b4o37bo7bo4b3o29bo6bobobo6bo14bo2bo$81bo2bobo36bo10bo33bo10bo
6bo5bo3bo7bo$81b3o2bo36bo10bo33bo7b3o7bo5bo9b3o$81b6o47bo42bo15b2o$
100b2o29bo2bo59b2o$89bo3bo6b4o28bo2bo56b2obo$89bo4bo4bo2bobo28bobo56b
3o$88bo5b2o3b3o2bo28b3o57bo$92b3o4b6o$90b4o2$114b6o$114b3o2bo$114bo2bo
bo$115b4o$115b2o8$37bo$38b2o$37b2o6$68b2o$68bobo$70bo$68b3o$67bo$64bo$
64bo$66b2o$63b2o$65b2o2bo$67bo2bo$67bo2bo$68bobo$68b2o4$41b2o$40b2ob2o
$40b2o2bo$40bo3bo$21bo21bo$21b2o$22b2o14bo$21b2o13bo$18b2o20bo$18b2o
22bo$38bo3b3o$bo37bo4bo$2b2o39b2o$b2o37b3o$21b2o$19bo2b2o$21b2o$21bo
40bo5bo$62b3ob3o$63b2ob2o$65bo25b2o$54b3o33b3o3bo10bo$85bo3b2obo2bo10b
3o$57bo27bo4b2o2bo2b3o4b6o$57bo27bo13b2o4bo4bo11bo$57bo35bo2bo2b2o4bo
15b3o14bo2bo$99b2o2b2o15b2ob2o17bo$54b3o37b2obob2o5b3o10bobo18bobo$96b
4o3b2o2b2o9b3o18b4o$96b2o4b3ob2o9b2o$102bo15b2o14bo$100b3o16bo13bo2bo$
129bo3bobobo$125b2o3bo3b6o$124b2o9bob4o$21bo71bo9bo21b2o10b2o2bo$21bo
40bobo28bo7b4o22bobo8bo2b2o$21bo38b2obobo27bo5b2obobo22b3o8b4o$62bobo
35bobo22b4o11bo3$64bo35bobo22b4o11bo$21bo41bobo27bo5b2obobo22b3o8b4o$
21bo42bo28bo7b4o22bobo8bo2b2o$21bo71bo9bo21b2o10b2o2bo$124b2o9bob4o$
125b2o3bo3b6o$129bo3bobobo$100b3o16bo13bo2bo$102bo15b2o14bo$96b2o4b3ob
2o9b2o$96b4o3b2o2b2o9b3o18b4o$54b3o37b2obob2o5b3o10bobo18bobo$99b2o2b
2o15b2ob2o17bo$57bo35bo2bo2b2o4bo15b3o14bo2bo$57bo27bo13b2o4bo4bo11bo$
57bo27bo4b2o2bo2b3o4b6o$85bo3b2obo2bo10b3o$54b3o33b3o3bo10bo$65bo25b2o
$63b2ob2o$62b3ob3o$21bo40bo5bo$21b2o$19bo2b2o$21b2o$2o38b3o$b2o40b2o$o
38bo4bo$38bo3b3o$18b2o22bo$18b2o20bo$21b2o13bo$22b2o14bo58b2o$21b2o75b
2o$21bo21bo53bo$40bo3bo$40b2o2bo$40b2ob2o$41b2o4$68b2o105b2o$68bobo
104b4o$67bo2bo103bo2bobo$67bo2bo103b3o2bo$65b2o2bo104b6o$63b2o$66b2o
82b4o$64bo87b3o4b6o$64bo83bo5b2o3b3o2bo28b3o57bo$67bo81bo4bo4bo2bobo
28bobo56b3o$68b3o78bo3bo6b4o28bo2bo56b2obo$70bo89b2o29bo2bo59b2o$68bob
o70b6o47bo42bo15b2o$68b2o71b3o2bo36bo10bo33bo7b3o7bo5bo9b3o$141bo2bobo
36bo10bo33bo10bo6bo5bo3bo7bo$142b4o37bo7bo4b3o29bo6bobobo6bo14bo2bo$
142b2o50bo40bob4o13b3o4b3o$192b3o2b4o37b2o2bo14b2o$153bo39b2o4bo36bo6b
o$36b2o115bo40b2o47bo$37b2o60bo53bo17bo23bo46b2o8bo$36bo62bo7bo2bo60bo
23b2obo29b3o6b5o9b3o$99bo6bo64bo24b3o51b2ob2o$106bobo88bo20bo12bo18b2o
bo7bo$106b4o72bo34b3o11bo19bobo8bo$182bo7bo25bo3bo10bo19b2o2bobobo2bo$
133b2o47bo6b4o25bob2o31bo7b2o$134b2o52bo24bo3b4o7b3o2bo19bo$133bo14b2o
37b2o2bo2bo19bob4o13bo5bo15b3ob2o$148b4o36bo4bo46bo$147bo2bobo36bo3bo
45bo$147b3o2bo$147b6o17bo$98b3o69bo$98bo71bo$99bo137b2ob2o$156b2o80b3o
$156b4o79bo$155bo2bobo$155b3o2bo$155b6o11$128b2o$127b2ob2o40bo$127b2o
2bo40b2o$127bo3bo38bo2b2o$72b2o56bo41b2o$73b2o59b4o$72bo64b2o$133bo2bo
b2o$134b2ob2o$169b2o$169b2o$172b2o$173b2o$172b2o$150b2o20bo$150b4o$
149bo2bobo$149b3o2bo$149b6o2$125b4o$127b3o4b6o$123bo5b2o3b3o2bo28b3o
57bo$124bo4bo4bo2bobo28bobo56b3o$124bo3bo6b4o28bo2bo56b2obo$135b2o29bo
2bo59b2o$116b6o47bo42bo15b2o$116b3o2bo36bo10bo33bo7b3o7bo5bo9b3o$116bo
2bobo36bo10bo33bo10bo6bo5bo3bo7bo$117b4o37bo7bo4b3o29bo6bobobo6bo14bo
2bo$117b2o50bo40bob4o13b3o4b3o$167b3o2b4o37b2o2bo14b2o$128bo39b2o4bo
36bo6bo$128bo40b2o47bo$74bo53bo17bo23bo46b2o8bo$74bo7bo2bo60bo23b2obo
29b3o6b5o9b3o$74bo6bo64bo24b3o51b2ob2o$81bobo88bo20bo12bo18b2obo7bo$
81b4o72bo34b3o11bo19bobo8bo$157bo7bo25bo3bo10bo19b2o2bobobo2bo$108b2o
47bo6b4o25bob2o31bo7b2o$109b2o52bo24bo3b4o7b3o2bo19bo$108bo14b2o37b2o
2bo2bo19bob4o13bo5bo15b3ob2o$123b4o36bo4bo46bo$122bo2bobo36bo3bo45bo$
122b3o2bo$122b6o17bo$73b3o69bo$73bo71bo$74bo137b2ob2o$131b2o80b3o$131b
4o79bo$130bo2bobo$130b3o2bo$130b6o11$103b2o$102b2ob2o40bo$102b2o2bo40b
2o$102bo3bo38bo2b2o$105bo41b2o$109b4o$112b2o$108bo2bob2o$109b2ob2o$
144b2o$144b2o$147b2o$148b2o$147b2o$147bo!

[DroneBetter]

Here's my collection of c/2 spaceships and puffers found in symmetric soups, each is either itself elementary, comprised partially of novel tagalongs for elementary spaceships, or (in the cases of periods 24 and 144) comprised entirely of elementary parts interacting in a nontrivial way, none of the common period-18 blinker-puffer except for where it's part of a period-24 pair (which I'd say is a separate object). From left to right, yl24_1_6_5b974d3f4e337cea7d866e0d42a505bc, yl32_1_6_09f679d7134ae972bf145bad75cc9e59, yl32_1_6_47b3cdb8e6d5ea3a32b4853b75b376a7, xq32_f51ixcr9960699rcxi15fzy0ggy9ggzzy36186x6816 (my favourite), xq48_y3i97yr79izokg84y1gokmk8yf8kmkogy148gkozy63yp3zzzzy5go4e4q201h1y71h102q4e4ogzy6113x231y9132x311zzzzzyg2754x4572zyggggy1gggzyfmh0gpxpg0hmzyagw8j7cg5fu0uf5gc7j8wgzya7542x131x131x2457, yl60_1_12_a2dc92766b1fcf5f56a14730fb3fcb35, yl84_1_24_bb51cbecdd4a14e2277de883ecc0d77e, yl96_1_6_87873349e471ea59ef7fcba964828304, yl144_3_216_8fad73491ed7215cfdce0c924dbdcedc

Code: Select all

x = 455, y = 132, rule = B34kz5e7c8/S23-a4ityz5k
81b3o5b3o3b3o5b3o$81bo2bo4bo2bobo2bo4bo2bo$81b2o5bo3bobo3bo5b2o$81bo6b
4o3b4o6bo$84bo4bo7bo4bo5$85b2o13b2o6$89bo7bo$88bo2bo3bo2bo$88bo2bo3bo
2bo$90bo5bo5$8bobobo3bo3bo66bobobo3bobobo40bo3bo3bobobo39bobobo3bobobo
44bobobo3bo3bo72bobobo3bobobo78bo3bo3bo3bo3bo2$12bo3bo3bo70bo7bo40bo3b
o3bo3bo39bo7bo3bo44bo3bo3bo3bo72bo3bo3bo82bo3bo3bo3bo3bo2$8bobobo3bobo
bo66bobobo3bobobo40bobobo3bobobo39bobobo3bo3bo44bobobo3bobobo72bobobo
3bobobo78bo3bobobo3bobobo2$8bo11bo70bo3bo48bo3bo3bo39bo3bo3bo3bo44bo3b
o7bo76bo3bo3bo78bo7bo7bo2$8bobobo7bo66bobobo3bobobo44bo3bobobo39bobobo
3bobobo44bobobo7bo72bobobo3bobobo78bo7bo7bo14$196bo3bo$9b3o4b3o176b3ob
3o$9bobo4bobo175bo2bobo2bo$12bo2bo177b5ob5o47b3o3b3o77b3ob3o$3o3b2o4bo
2bo4b2o3b3o16b3o22b3o8b3o21b3o28b3o17b3o28b3o4bo2b2ob2o2bo4b3o32b3o5bo
2bobo2bo5b3o64b3obo2bobo2bob3o71b3o7bo6bo7b3o$o2bo2bobo10bobo2bo2bo16b
o2bo20bo2bo8bo2bo19bo2bo28bo2bo4bo5bo4bo2bo28bo2bo3bo3bobo3bo3bo2bo32b
o2bo3b3o5b3o3bo2bo64bob4obobob4obo71bo2bo5b3o4b3o5bo2bo$2o4bo4bo4bo4bo
4b2o16b2o5b3o8b3o5b2o8b2o5b3o7b3o5b2o28b2o5b3o3b3o5b2o28b2o4b2o2bo3bo
2b2o4b2o32b2o5bo9bo5b2o64bob2obobobobob2obo71b2o6b2obo4bob2o6b2o$o6b2o
10b2o6bo16bo5bo2bo8bo2bo5bo8bo5bo2bo7bo2bo5bo28bo3bo2bo2bobo2bo2bo3bo
28bo5b3o7b3o5bo32bo5b2obobobobob2o5bo70b2ob2o77bo7b2o8b2o7bo$3bo20bo
22bo2b2obo8bob2o2bo14bo2b2obo7bob2o2bo34bo2bo2b2ob2o2bo2bo34bo3b2o7b2o
3bo38bo7bobo7bo74bobo81bo20bo$140b2ob3ob3ob2o100b2ob2o80b2ob2o88b2o2b
2o$139b2o3b2ob2o3b2o99bo3bo$139b2o2b2o3b2o2b2o97b3o3b3o170bo6bo$140b2o
b2o3b2ob2o97b3o5b3o165b3o2bo4bo2b3o$144bo3bo102bo7bo166bob2obo4bob2obo
$140bo11bo96b4o5b4o163b2ob3o6b3ob2o$140bo11bo97b3o5b3o164bobo12bobo$
141bo2bo3bo2bo272b2o16b2o$141b3o5b3o273b2o14b2o2$251bo7bo$249b2o9b2o$
248b2o4bobo4b2o167bo6bo$249bo4bobo4bo165b5o4b5o$252b2o3b2o167b2o2b2o4b
2o2b2o$142b3o3b3o274b2o3b3o2b3o3b2o$141b2o7b2o274b2o2b2o4b2o2b2o$142b
2o5b2o265b2o8b2ob2o6b2ob2o8b2o$415b2o10b3o8b3o10b2o$251bo7bo156b2o10bo
10bo10b2o$250bo2bo3bo2bo$250bo2bo3bo2bo$252bo5bo2$422bobo18bobo$422b3o
18b3o$423bo20bo2$417bo32bo$416b3o30b3o$415bo2b2o28b2o2bo$414bob4o28b4o
bo$413b2ob2o32b2ob2o$413bo2bo13bo6bo13bo2bo$413bo3bo2b2o7b3o4b3o7b2o2b
o3bo$414bo2bo2b2o7b2obo2bob2o7b2o2bo2bo$417bo3bo9b2o2b2o9bo3bo$427b2o
4b2o4b2o$422bo4b2o2b2o2b2o2b2o4bo$423bo20bo2$133bo3b2o15b2o3bo$131b3o
4b2o13b2o4b3o$130b2o3bo3bo13bo3bo3b2o$131bobobo21bobobo$132b3o23b3o$
133bob2o19b2obo$138b3o11b3o274b3o4b3o$414bo38bo$414bo3b2o28b2o3bo$414b
obo34bobo$415b2o34b2o$416bo2bo28bo2bo2$416bobo30bobo$416b3o30b3o11$
131bo29bo$131bo29bo$121b3o7b5o21b5o7b3o$121bo2bo7bo3bo19bo3bo7bo2bo$
122bo2bo7b3o21b3o7bo2bo$134bo23bo2$128bo35bo$129bo33bo$130bo31bo$128bo
bo31bobo$129b2o31b2o!

Miscellaneous discoveries:
On 2022-01-21, when searching for a c/7 spaceship in ikpx2 (despite a c/6 one not having been found yet), I found xp6_wglv0vlgz7y57, a 22-to-32-cell period-6 oscillator that beats the smallest in yujh's original post, xp6_ks0v1gg0lv0skz230f8xaf032, by 21 cells. During my D8_1 search, I found a semi-natural occurrence on 2022-02-07, but I had found xp6_gsiif84ogzw25c, a 20-to-26-cell one, the previous day.
This D8_1 soup is a 26-cell predecessor for the xq3_3cq8e0e8qc3, its first semi-natural occurrence. Here is a reduction of its initial state and another 2-cell one of that after 18 iterations (where large sparks act upon a pair of boats).

Code: Select all

x = 25, y = 31, rule = B34kz5e7c8/S23-a4ityz5k
3obo2b2o$5b2obo$5bob4o12bo$6bobobo$2b3o2bobo10bob2o$2bo2bo2b2o9b3o$2bo
3bo3bo9b2o$bo4bo12bo$4b3o3bo8bobo$3bo6bo10b2o$10bo9b2o2$20bo2bo$22bobo
$23b2o2$23b2o$22bobo$20bo2bo2$10bo9b2o$3bo6bo10b2o$4b3o3bo8bobo$bo4bo
12bo$2bo3bo3bo9b2o$2bo2bo2b2o9b3o$2b3o2bobo10bob2o$6bobobo$5bob4o12bo$
5b2obo$3obo2b2o!

Finally, b34ikz5e7c8s23-a4ityz5k (only the b4i transition away from this one) is interesting also, and may warrant a thread.
The blinker-puffer creates two lines of blinkers two cells apart instead of a single straight line.

Code: Select all

x = 4, y = 4, rule = B34ikz5e7c8/S23-a4ityz5k
2o$b2o$2b2o$b2o!

Much more interestingly, instead of being a predecessor to the common perpendicular stag-pair, the b-heptomino becomes a 2c/42 glide-symmetric orthogonal spaceship more common than the blinker-puffer (after 21 iterations, its reflected state is a b-heptomino with decaying exhaust far from it).

Code: Select all

x = 4, y = 3, rule = B34ikz5e7c8/S23-a4ityz5k
bo$3o$ob2o!

It can convert two offset blinkers from the trail to a boat.

Code: Select all

x = 38, y = 44, rule = B34ikz5e7c8/S23-a4ityz5k
3b3o$2bo2bo$2bo3b2o$3b2o2bo$5b3o4$6b3o$6b3o2$3b2o$2o2b2o$2o2bo$bo2bo6$
5bo$5bo$5bo7$3bo$3bo$3bo6$16b4o$15b2o2bo15b2o$14b2o2bo6bo9b3o$15bo2bo
7bo9bo$16b2o5bo5b3o$31bo4bo$29b3o2b3o!

Two can interact to create two blinker-puffers, two gliders, two boats, four blinkers offset from the puffers' trails, and two new 2c/42s.

Code: Select all

x = 11, y = 18, rule = B34ikz5e7c8/S23-a4ityz5k
8b2o$9b2o$8b2o$8bo11$2bo$b2o$2o$b2o!

It also has a LWSS-producing (11,11)c/280 blinker puffer that appeared in my manual searches in Golly (while this rule only has gliders and the (1,1)c/6).

Code: Select all

x = 38, y = 39, rule = B34ikz5e7c8/S23-a4ityz5k
23b3o$22bo$22bo2bo$22b3o2$9b2o$9bo4b2o$3bo9b4o$4o9b2ob2o$o2b2o3b2o4bob
o$2obobo2b3o4bo$6bo3bo9bo$2b2ob2o12b3o$18bo2b2o$19b4o$20b2o3$17b2o4bo$
18b2o2b2o9bo$18b2o12b3o$32bo2bo$16b2o17b2o$16bobo15b2o$19bo$16bob4o$
16bo3bo$18bobo$18b3o$32bo$31b2ob2o$32bo3b2o$34bob2o$36bo$31b2o2b2o$30b
2o4b2o$30bo3b3o$30bo2b2o$30b5o!

[FWKnightship]

Some p4 and p5 sparkers:

Code: Select all

x = 56, y = 45, rule = B34kz5e7c8/S23-a4ityz5k
5bob2o34b2o4b2o$3b3obobo34bo4bobobo$3bo2bobobo32b2ob2obobob3o$2b2o2bob
obo31bo2bo2bobobo2bo$2bo4bobo33bobo2bobo2b2o$3bo2bo37bo5b2o$2bo4bobo
34bo5b2o$2b2o2bobobo32bobo2bobo2b2o$3bo2bobobo31bo2bo2bobobo2bo$3b3obo
bo33b2ob2obobob3o$5bob2o35bo4bobobo$43b2o4b2o6$2b2ob2o$5b2o$bo5bo2b2ob
2o$2bo3b2o6bo$3bo3bo3b2obob2o$3b2obobobobobobo$3b2obobobobobobo$3bo3bo
3b2obob2o$2bo3b2o6bo$bo5bo2b2ob2o$5b2o$2b2ob2o6$5bobo3b2ob2o2b2o2b2obo
$12bobo2bobo3bob3obo$3bo2bobo3bob4ob4obo2b3o$2b2obo2bobobobo2bobo2bobo
$4bobobo3bo6b2o2bob2ob2o$o2bob2obo4bo4bo5bobobo$4bobobo3bo6b2o2bob2ob
2o$2b2obo2bobobobo2bobo2bobo$3bo2bobo3bob4ob4obo2b3o$12bobo2bobo3bob3o
bo$5bobo3b2ob2o2b2o2b2obo!

[FWKnightship]

P25 partial:

Code: Select all

x = 24, y = 71, rule = B34kz5e7c8/S23-a4ityz5k
7b2ob2o$2b2o3bo3bo3b2o$2bo2b2obobob2o2bo$3bobob2ob2obobo$4bob2o3b2obo$
5b2obobob2o$7b2ob2o$7bobobo$5bob2ob2obo$3bo2bo5bo2bo$b4obob3obob4o$bo
3bob5obo3bo$2b2ob2o2bo2b2ob2o$4bo2b2ob2o2bo$o3bo2bobobo2bo3bo$3obo4bo
4bob3o$2b2o5bo5b2o$2ob3o7b3ob2o$bo7bo7bo$b6ob3ob6o$7b5o$3b3o7b3o$3bo
11bo$5bo7bo$7b5o6$7b3o$5bo2b3o$2bo2bobo2b2o$2bob2o4bo$5bo2b2o$5bo12bo$
14b2o2bo$13bo4b2obo$12b2o2bobo2bo$13b3o2bo$14b3o6$12b5o$10bo7bo$8bo11b
o$8b3o7b3o$12b5o$6b6ob3ob6o$6bo7bo7bo$5b2ob3o7b3ob2o$7b2o5bo5b2o$5b3ob
o4bo4bob3o$5bo3bo2bobobo2bo3bo$9bo2b2ob2o2bo$7b2ob2o2bo2b2ob2o$6bo3bob
5obo3bo$6b4obob3obob4o$8bo2bo5bo2bo$10bob2ob2obo$12bobobo$12b2ob2o$10b
2obobob2o$9bob2o3b2obo$8bobob2ob2obobo$7bo2b2obobob2o2bo$7b2o3bo3bo3b
2o$12b2ob2o!
[[ STOP 25 ]]

P30 partial:

Code: Select all

x = 31, y = 25, rule = B34kz5e7c8/S23-a4ityz5k
4b4o$3b2o2bo17b2o$ob2o2bo17bo2bo2bo$o2bo2bo17bo2b2obo$4b2o17bo2b2o$23b
4o12$4b4o$3b2o2bo$ob2o2bo$o2bo2bo15b2o$4b2o15bo2bo2bo$21bo2b2obo$20bo
2b2o$20b4o!
[[ STOP 30 ]]

P62 partial:

Code: Select all

x = 86, y = 79, rule = B34kz5e7c8/S23-a4ityz5k
54bo$53b3o$5b3o44bo2bo4bo$5bo2bo42b3o2b2o2bo$4bo47bo4b2o$4bo6bo38b2ob
3obo$4bo2bobobo37bobobob2o$9bo39b2ob4o$7b2o39b4ob2o$47b2obobobo$46bob
3ob2o$45b2o4bo$43bo2b2o2b3o$43bo4bo2bo$48b3o$3b2o44bo$2bo$obobo2bo$o6b
o$7bo$3bo2bo$4b3o40$65b3o14b2o$65bo2bo13bobo$10bo52b2o19bo$9b3o49bobo
20b2o$8b2ob2o50b4o2bo$7bobo4bo53bo$7b2o5bo$6b2o56bo$63bo2b4o$47b2o20bo
bo$48bo19b2o$48bobo13bo2bo$8b2o39b2o14b3o$bo5b2o$bo4bobo$3b2ob2o$4b3o$
5bo!
[[ STOP 62 ]]

P256 partial:

Code: Select all

x = 52, y = 57, rule = B34kz5e7c8/S23-a4ityz5k
50bo$49bo$49b3o16$31bo$20bo9bob2o$19b5o6bo2bo$18b2ob4o6b3o$16bo2b3o2b
2o$16bo2b2o2b2o10$27b2o2b2o2bo$26b2o2b3o2bo$18b3o6b4ob2o$18bo2bo6b5o$
18b2obo9bo$20bo16$3o$2bo$bo!
[[ STOP 128 ]]

P74 partial:

Code: Select all

x = 38, y = 30, rule = B34kz5e7c8/S23-a4ityz5k
14b2o$14b2o$14b2o19bo$14b2o17b3o$14b2o16bo$14b2o16b2o6$29b2o2bo$28b2o
2bob2o$5bo23bo2bo2bobo$3bo2bo28bo$2bo28bo2bo$obo2bo2bo23bo$2b2obo2b2o$
4bo2b2o6$4b2o16b2o$5bo16b2o$2b3o17b2o$2bo19b2o$22b2o$22b2o!
[[ STOP 74 ]]

P4 partial:

Code: Select all

x = 11, y = 5, rule = B34kz5e7c8/S23-a4ityz5k
6b2o$o5bo3bo$2b3ob3o$o3bo5bo$3b2o!
[[ STOP 4 ]]

[AbhpzTa]

P30 partial:

Code: Select all

x = 31, y = 25, rule = B34kz5e7c8/S23-a4ityz5k
4b4o$3b2o2bo17b2o$ob2o2bo17bo2bo2bo$o2bo2bo17bo2b2obo$4b2o17bo2b2o$23b
4o12$4b4o$3b2o2bo$ob2o2bo$o2bo2bo15b2o$4b2o15bo2bo2bo$21bo2b2obo$20bo
2b2o$20b4o!
[[ STOP 30 ]]

Monomer(stabilized)
....................................................................................................................................................................................

P74 partial:

Code: Select all

x = 38, y = 30, rule = B34kz5e7c8/S23-a4ityz5k
14b2o$14b2o$14b2o19bo$14b2o17b3o$14b2o16bo$14b2o16b2o6$29b2o2bo$28b2o
2bob2o$5bo23bo2bo2bobo$3bo2bo28bo$2bo28bo2bo$obo2bo2bo23bo$2b2obo2b2o$
4bo2b2o6$4b2o16b2o$5bo16b2o$2b3o17b2o$2bo19b2o$22b2o$22b2o!
[[ STOP 74 ]]

Code: Select all

x = 87, y = 43, rule = B34kz5e7c8/S23-a4ityz5k
25bo9bo15bo9bo$23b3o8bobo13bobo8b3o$23bo11bo15bo11bo4$41b2ob2o$42bobo$
41b2ob2o$26b3o29b3o$2ob2o21bo33bo21b2ob2o$bobo22bo33bo22bobo$bob2o11bo
10bo31bo10bo11b2obo$2o16bo10bo11b2ob2o11bo10bo16b2o$bo17bo22bobo22bo
17bo$b2o16bo21b2ob2o21bo16b2o$17b3o47b3o$9bo67bo$9bo67bo$10b2o63b2o$
12bo61bo$9bo3bo59bo3bo$10bob2o59b2obo5$b2o15b2o21b2ob2o21b2o15b2o$bo
16bobo21bobo21bobo16bo$2o18bo4b3o13b2ob2o13b3o4bo18b2o$bob2o13b3o4bo
35bo4b3o13b2obo$bobo21bobo31bobo21bobo$2ob2o21b2o31b2o21b2ob2o2$41b2ob
2o$42bobo$41b2ob2o4$23bo11bo15bo11bo$23b3o8bobo13bobo8b3o$25bo9bo15bo
9bo!

p74 glider gun:

Code: Select all

x = 87, y = 45, rule = B34kz5e7c8/S23-a4ityz5k
25bo9bo15bo9bo$23b3o8bobo13bobo8b3o$23bo11bo15bo11bo4$41b2ob2o$42bobo$
41b2ob2o2$2ob2o21b2o31b2o21b2ob2o$bobo21bobo31bobo21bobo$bob2o13b3o4bo
35bo4b3o13b2obo$2o18bo4b3o13b2ob2o13b3o4bo18b2o$bo16bobo21bobo21bobo
16bo$b2o15b2o21b2ob2o21b2o15b2o5$10bob2o59b2obo$9bo3bo59bo3bo$12bo61bo
$10b2o63b2o$9bo67bo$9bo67bo$17b3o47b3o$b2o16bo21b2ob2o21bo16b2o$bo17bo
22bobo22bo17bo$2o16bo10bo11b2ob2o11bo10bo16b2o$bob2o11bo10bo31bo10bo
11b2obo$bobo22bo33bo22bobo$2ob2o21bo33bo21b2ob2o$26b3o29b3o$41b2ob2o$
42bobo$41b2ob2o4$23bo11bo15bo7bobo$23b3o8bobo13bobo6b3o$25bo9bo15bo12b
o$59b6o$59bo2bo!

[FWKnightship]

P84 partial:

Code: Select all

x = 41, y = 41, rule = B34kz5e7c8/S23-a4ityz5k
30bo$28b3o$27bo$27b2o3$16bobo2$17bo$16b3o$2o14bob2o$bo12bo2b3o$bobo13b
4o5bo$2b2o9b2o2bob3o5bo$12bo2bo4b3obo2bobo$15bo6bob3o$14b2o6bo7b2o2bo$
27b3ob2o$14b3o11b4o2bo$13b2o12b4o$12b3o11b3o$10b4o12b2o$6bo2b4o11b3o$
8b2ob3o$6bo2b2o7bo6b2o$14b3obo6bo$11bobo2bob3o4bo2bo$13bo5b3obo2b2o9b
2o$14bo5b4o13bobo$21b3o2bo12bo$21b2obo14b2o$22b3o$23bo2$22bobo3$12b2o$
13bo$10b3o$10bo!
[[ STOP 84 ]]

P85 partial:

Code: Select all

x = 49, y = 49, rule = B34kz5e7c8/S23-a4ityz5k
34bo$34bobo$26b2o6b2o2$22bo3bo$21b3ob3o$20bo2bobo2bo$19b5ob5o$21bobobo
bo$22b2ob2o$23bobo$23bobo$bo20b2ob2o$2bo$3o18bo5bo$20b3o3b3o$19b2o2bob
o2b2o$22b2ob2o$22b2ob2o$7bo8bo6bobo6bo8bo$6b2o7b2o15b2o7b2o$2bo2bob2o
5b2o17b2o5b2obo$2bob2obobo2bo2bob2o11b2obo2bo2bobob2o$5b8o3b4o9b4o3b8o
2$5b8o3b4o9b4o3b8o$4b2obobo2bo2bob2o11b2obo2bo2bobob2obo$5bob2o5b2o17b
2o5b2obo2bo$6b2o7b2o15b2o7b2o$7bo8bo6bobo6bo8bo$22b2ob2o$22b2ob2o$19b
2o2bobo2b2o$20b3o3b3o$21bo5bo18b3o$46bo$22b2ob2o20bo$23bobo$23bobo$22b
2ob2o$21bobobobo$19b5ob5o$20bo2bobo2bo$21b3ob3o$22bo3bo2$13b2o6b2o$12b
obo$14bo!
[[ STOP 85 ]]

EDIT:P104 partial:

Code: Select all

x = 37, y = 37, rule = B34kz5e7c8/S23-a4ityz5k
15b2o2$17b2o$17bobo$19bo$17b3o10$36bo$36bo$3b3o25bob2o$2bo2bo25bo2bo$
2b2obo25b3o$o$o10$17b3o$17bo$17bobo$18b2o2$20b2o!
[[ STOP 52 ]]

[FWKnightship]

My qfind c/6o w10o and w10e search returned negative. Longest partial:

Code: Select all

x = 53, y = 132, rule = B34kz5e7c8/S23-a4ityz5k
7bobobo21b3o3b3o2b3o3b3o$7b5o2$9bo25b2ob2o6b2ob2o$7bobobo22b2o3b2o4b2o
3b2o$5b3o3b3o20b2o3b2o4b2o3b2o$4bo3b3o3bo19b7o4b7o$4b11o21bob2o6b2obo$
5b2o5b2o23b3o6b3o$38bo8bo$7bo3bo2$8bobo28bo6bo$6b2obob2o25b2ob4ob2o$6b
o5bo28b4o$6b2o3b2o25bob6obo$37b2obo4bob2o$4bo2b2ob2o2bo24bo6bo$2b3o3bo
bo3b3o22b2o4b2o$bobo3b2ob2o3bobo15b3obo10bob3o$b2o5bobo5b2o19bo3bo2bo
3bo$b2ob2o2bobo2b2ob2o18b2obob4obob2o$2b7ob7o19b2o3bo2bo3b2o$3bo3bo3bo
3bo20bo5b2o5bo$6b3ob3o21b5o8b5o$2bo3b2o3b2o3bo21b2o6b2o$2bo4bobobo4bo
18bob2o8b2obo$2bo13bo16b5obobo2bobob5o$7bo3bo24b4o6b4o$bobob2ob3ob2obo
bo19b3o6b3o$2b5o5b5o$o3bobo5bobo3bo17b2o10b2o$obo2b2o5b2o2bobo16b3o10b
3o$2b2o2bo5bo2b2o18b2obob2o2b2obob2o$3b4o5b4o20b2o3bo2bo3b2o$2bo3b2o3b
2o3bo19bobo8bobo$2bo2bob2ob2obo2bo19bo3b2o2b2o3bo$4bo3bobo3bo26bo2bo$
2b2ob2obobob2ob2o23bo4bo$4bo3bobo3bo19bo3b2o6b2o3bo$4bo4bo4bo19bo2bo
10bo2bo$3bo3b5o3bo19bob2o8b2obo$3b3obo3bob3o23b2o4b2o$2b2o11b2o19b2obo
b4obob2o$b2o6bo6b2o15bo2bob2o6b2obo2bo$4o11b4o15b2o2b2o6b2o2b2o$bob4o
5b4obo16bo3b10o3bo$b3o11b3o16b2o2bob6obo2b2o$bobo4bobo4bobo18bob3o4b3o
bo$o3bobo5bobo3bo$3bo2bobobobo2bo$8bobo$6bobobobo$3b2ob2o3b2ob2o$5b3o
3b3o$6b2obob2o$8b3o$6bo2bo2bo$6bobobobo$7b2ob2o$8bobo$8bobo$5b2obobob
2o$4bobobobobobo$5b2obobob2o$3bo2b3ob3o2bo$3bo2bo5bo2bo2$2bo2bo7bo2bo$
2bo2bob2ob2obo2bo$3bo2bobobobo2bo$5bo7bo$6bo5bo$5bo7bo$4b3obobob3o$5b
2o2bo2b2o$4bobob3obobo$8bobo$3bo2b3ob3o2bo$3bo4bobo4bo$5b2obobob2o$2b
2ob4ob4ob2o$6bobobobo$6b2o3b2o$4b2ob5ob2o$3bo5bo5bo$4b2o7b2o$2b2o11b2o
$3bo3bo3bo3bo$3bo11bo$b3obo7bob3o$2obo11bob2o$2bo13bo$2bo3b2o3b2o3bo$
3bobo7bobo$5bo2bobo2bo$7b2ob2o$6b2o3b2o$7b2ob2o$6bo5bo$6b2o3b2o$5bo7bo
$5b3o3b3o$6bobobobo2$6bo5bo$6b3ob3o$5b2obobob2o$3bo11bo$3bo4b3o4bo$2b
2o4b3o4b2o$4bo2bo3bo2bo$4b4o3b4o$2b2obo7bob2o$2bobo9bobo$2bo6bo6bo$bo
2bo3b3o3bo2bo$3b3ob2ob2ob3o$o6b2ob2o6bo$4b3o5b3o$2bob3o2bo2b3obo$b2ob
11ob2o$2bo4bobobo4bo$bob2o2bo3bo2b2obo$2bo2b3obob3o2bo$3bo4b3o4bo$2bo
4bobobo4bo$bob2ob2obob2ob2obo$4bobob3obobo$2o3b9o3b2o$2o5bo3bo5b2o$bob
o4bobo4bobo!

[d/dx]

prolly known

Code: Select all

x = 9, y = 7, rule = B34kz5e7c8/S23-a4ityz5k
2$4bo$bob2o$b3o$2bo!

[confocaloid]

prolly known

Code: Select all

x = 9, y = 7, rule = B34kz5e7c8/S23-a4ityz5k
2$4bo$bob2o$b3o$2bo!

Please add meaningful human-readable descriptions to patterns you post. The above doesn't communicate anything about the posted pattern.

This puffer is known, it appears in viewtopic.php?p=91372#p91372

Readers of your post should have a rough idea of what to expect when they open your RLE in LifeViewer or copy it into another program. Outside of the Sandbox forum, at least briefly describe (or quote another post that describes) what pattern(s) you're posting. Descriptions also make it much easier to find patterns by searching the forums.

[I6_I6]

Sorry for the necropost!

(Some stuff about B34ikz5e7c8/S23-a4ityz5k)

Here's an endemic 4c/84, found using a partial spaceship reaction in a manual soup:

Code: Select all

x = 20, y = 57, rule = B34ikz5e7c8/S23-a4ityz5k
2bo$b3o$2obo$obo$bo$bo$o$obo$3o13$5bo$5bo$2bob3o$b3o$2bob3o$5bo$5bo3$
14b3o$13bo2bo$13b2obo$13bobo$13b3o$13b2o$13b2o$12b2obo$13b3o$14bo$3o$
obo$o$bo$bo$obo15bo$2obo14bo$b3o$2bo14bobo$17bobo2$18bo$17b3o$19bo$17b
2o$15b4o$15bobo!

EDIT:
Blinker pull:

Code: Select all

x = 6, y = 10, rule = B34ikz5e7c8/S23-a4ityz5k
2bo$5bo$4b2o$2bo2bo$3b3o5$3o!

[yujh]

2c/5o

Code: Select all

x = 25, y = 54, rule = B34kz5e7c8/S23-a4ityz5k
5bo13bo$4b3o11b3o$4bo2b2o7b2o2bo$3bo2bo2bo5bo2bo2bo$2b2obob2ob2ob2ob2o
bob2o$2bob2o3bo5bo3b2obo$bob3o2b2o5b2o2b3obo$2b3o6bobo6b3o$3bo17bo$6bo
bo7bobo$5b4o7b4o$6b3o7b3o2$6b3o7b3o$6bo3b2ob2o3bo$7bobobobobobo$5bob3o
bobob3obo$5bo5bobo5bo$7b5ob5o$6b2ob3ob3ob2o$5b2o11b2o$4b2o13b2o$5bobo
9bobo$5bo2bo7bo2bo$2b2o17b2o$5b2o11b2o$2bo19bo$2o4b2o9b2o4b2o$2b2o2bob
2o5b2obo2b2o$7bobo5bobo$3b2obo2bo5bo2bob2o$6bo4b3o4bo$9b3ob3o$7b3o5b3o
$7b2obo3bob2o$7b3obobob3o$6bo2bo5bo2bo$6b3o7b3o$10bo3bo$6b3o7b3o$6bo2b
o5bo2bo$7bo9bo$8b2o5b2o$7b2o7b2o$6bobo3bo3bobo$6bo3b5o3bo$3bobo13bobo$
2b3obo11bob3o$2bo19bo$bobo2b2o9b2o2bobo$b4o3bo7bo3b4o$bo2bo15bo2bo$8bo
7bo$5bo13bo!

[actinophrys]

And the other part, getting rid of other prime factors, went very luckily because of the B2c/S2c inspiration.
Say you have a x = 16, y = 2, rule = B3r4ai/S1e2aei3aeir4ir5i o7b7o$16o! , which is p15. Now you want to make it p5. What you will have to do is just copy the cells in the first row, run 5 generations, paste it using xor mode, and another 5 gens, and then paste it. Then you are done.

This method does not work in general though. It gives a pattern that repeats after that many generations, but the actual period can be smaller. For instance look at 2^6-1 = 63 = 7*9. Your method gives the desired p63, and if you add up every 7th generation you get a p7. However, if you add up every 9th generation, you do not get a p9 or even p3 but a p1.

Code: Select all

x = 64, y = 18, rule = B3r4ai/S1e2aei3aeir4ir5i
o31b31o$64o4$
obo3b6obo2bob2o4b2o2b2obobo2b2o2b4o2bob2obo6b3obo$64o4$
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$64o!

Unfortunately I think this difference breaks any attempt to prove rule 150 (or rule 90) is omniperiodic with this kind of cyclic addition. It would take a stronger algebraic approach to show the actual periods exist.