B3/S345

For discussion of other cellular automata.
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velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

B3/S345

Post by velcrorex » September 15th, 2013, 10:31 am

Below is my pattern collection for B3/S345.
Included are a c/4 diagonal ship and wickstretcher, c/5 diagonal ships and wickstetcher, 2c/5 ships and blocklayer, 3c/7 ships and some sort of stretcher, and (the best for last) a p6 knighship wickstretcher.

Code: Select all

x = 150, y = 191, rule = B3/S345
13b3o$13boo56boobboo$13bobbo54booboo$15boo55bo3boo$14b4o$16boo51boo37b
o$14b3o52boo35b5o$13b4o50booboboo31b5o$12boobbo50b3obobo32bo3boo$11bob
o8boo39boo5bobobo30boo3bo$3b3o4b3obobo5boobo37b3o3bobobobo28bo$3boobbo
boobboboo8bo43boobobobo27b3o$3bobbooboo3bob3o4booboo36bo6bobobobo26b3o
$5b7ob3oboo5b4o35boo7boboboboo21b3ob3o$7boo6boo4b6o36bobo7bobobobo18bo
bob3obobo$15boobbob7o37bo8boboboboo15b4ob4obobo$18b3o3booboo46bobobo
17boo5bobobobo$19b3obo51boobobo15b3o6bobobobo$17booboobo3boo48bobo17b
oo7bobobobo$12boo3boo9b3o46bo19boboo6bobobobo$12boobobooboo4bo3boo67bo
8boboboboo$15b5o6b3o80bobobobo$13boob4o6boboo80boboboboo$15b4o4b3obo
83bobobobo$15booboobobbobo84boobobobo$19bobooboo87bobobobo4b4o$22bobbo
87boobobo5bobbo$22boo91boboboboobboo$23bo49bo42bobobbobobo$71b5o45boo$
70b5o43b3oboobo$71bo3boo41boboo4boo7bo$70boo3bo43bobo3bo9bobo$69bo46b
oo7boboo5bobo$69b3o44boboobob3obb3obooboo$69b3o44bobo3bo4bobooboo$66b
3ob3o43boo4bobobobooboboobo$63bobob3obobo50boobo4boboo$19bo42b4ob4obob
o50b3o4booboobo$18boo42boo5bobobobo49boo7boboo$17b3o41b3o6bobobobo50bo
5boboboobo$62boo7bobobobo47booboo3booboboo$20boo40boboo6bobobobo46b3ob
oboobooboboobo$20bobo41bo8boboboboo43bobbooboboobooboboo$22bo51bobobob
o41boobobboobobooboobob3o$18boobo53boboboboo41booboboobobooboobobbo$
17b3oboo53bobobobo40bo6booboboobooboo$17boo57boobobobo45bobooboboobobo
bo$9bo5boob3o57bobobobo47boobobooboo$8boo4b4o10boo48booboboboo44boboob
obbo$7b3o4boobobobo4b4o50bobobobo47boob3o$11boo4bo3bo4boo53bobobobo45b
obobo$11bobboo3boo6bo54bobobobo46boobo$12boobo6boo3boo53booboboboo$22b
obobobo55bobobobo$23bo3b3o55bobobobo$25bobboo56bobobobo$19boobbobboo
58boobobobo$19b4oboboo60bobo$18boobb4o63bo$18boo4boo64bo19$5b3o$4b4o$
3bo$b3obbo$oob3o4boo$oo3b3obboo$boboobb4o$bobbobboboo$3b3o4boo$10boo7$
46b4o43boo$45boo32boo6b3o3boo$46bo24bo7boobboob3o4b4o$46b3o19b3o8b3ob
3o4bo4bobo$49boo16boo4b3o8b6o4bobbo$49bobbobboo11bobo3boo3bobo3bobobob
o4booboo$46b4obo3b3o10b4obb4o4bobobo5bo3b3obbo$46boobobo3bo14bobob4o4b
oobo6boo4b5o$46boobobo3bo14bobob4o4boobo6boo4b5o$46b4obo3b3o10b4obb4o
4bobobo5bo3b3obbo$49bobbobboo11bobo3boo3bobo3bobobobo4booboo$49boo16b
oo4b3o8b6o4bobbo$46b3o19b3o8b3ob3o4bo4bobo$46bo24bo7boobboob3o4b4o$45b
oo32boo6b3o3boo$46b4o43boo5$82boo$68boo6b3o3boo10bo$60bo7boobboob3o4b
4o6boo$57b3o8b3ob3o4bo4bobo5boobbo$56boo4b3o8b6o4bobbo5b3o$57bobo3boo
3bobo3bobobobo4booboo5boboo$57b4obb4o4bobobo5bo3b3obbo4b3o$59bobob4o4b
oobo6boo4b5o3boobo$59bobob4o4boobo6boo4b5o3boobo$57b4obb4o4bobobo5bo3b
3obbo4b3o$57bobo3boo3bobo3bobobobo4booboo5boboo$56boo4b3o8b6o4bobbo5b
3o$57b3o8b3ob3o4bo4bobo5boobbo$60bo7boobboob3o4b4o6boo$68boo6b3o3boo
10bo$82boo19$62b4obobo7bobob4o$61boo4boobobbobboboo4boo$61boobobb13obb
oboo$62bo3bo13bo3bo$62b23o$64bobbobbobbobbobbobbo$62boobobo3bobobo3bob
oboo$62bobbobo3bobobo3bobobbo$62bobbobo3bobobo3bobobbo$62boobobo3bobob
o3boboboo$64bobbobbobbobbobbobbo$62b23o$62bo3bo13bo3bo$61boobobb13obbo
boo$61boo4boobobbobboboo4boo$62b4obobo7bobob4o9$5bo3bo8bo124bobbo$5boo
4bo3booboobobo17b4obobo91boboobbo$5bo4bobobb3oboo19boo4boobobbobbobbo
bbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbo
bbobbobbobb3oboobbo$5b3ob7ob3ob3o16boobobb94ob3oboo$5boo12bobbobo16bo
3bo97bobbo$5b19o17b109o$6bobbobbobbobbobbobbo18bobbobbobbobbobbobbobbo
bbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbo
bbobbobbobbo$5bobo7bobo3bo19boobobobo3bo7bobo13bobobo5bo3bo11bo5bo3bob
obobo9bobo3bobobo7bo$5boo8bobo3bobo17bobbobobo3bo7bobo13bobobo5bo3bo
11bo5bo3bobobobo9bobo3bobobo7bo$5boo8bobo3bobo17bobbobobo3bo7bobo13bob
obo5bo3bo11bo5bo3bobobobo9bobo3bobobo7bo$5bobo7bobo3bo19boobobobo3bo7b
obo13bobobo5bo3bo11bo5bo3bobobobo9bobo3bobobo7bo$6bobbobbobbobbobbobbo
18bobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbo
bbobbobbobbobbobbobbobbobbobbobbobbo$5b19o17b109o$5boo12bobbobo16bo3bo
97bobbo$5b3ob7ob3ob3o16boobobb94ob3oboo$5bo4bobobb3oboo19boo4boobobbo
bbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbobbo
bbobbobbobbobbobb3oboobbo$5boo4bo3booboobobo17b4obobo91boboobbo$5bo3bo
8bo124bobbo!
I'm sure there's more to be found, post your discoveries here.
-Josh Ball.

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Lewis
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Re: B3/S345

Post by Lewis » September 15th, 2013, 11:48 am

P21 oscillator:

Code: Select all

x = 7, y = 7, rule = 345/3
3bo$2b3o$bobobo$3ob3o$bobobo$2b3o$3bo!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: B3/S345

Post by knightlife » September 15th, 2013, 4:20 pm

Natural c/2 and less common c/4 (2c/8) spaceships:

Code: Select all

x = 4, y = 13, rule = B3/S345
3o$2b2o$3o8$2o$2b2o$4o!
p6 oscillator:

Code: Select all

x = 4, y = 4, rule = B3/S345
b2o$2obo$2b2o$2bo!
Stabilized knightship wickstretcher! Nice.

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velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: B3/S345

Post by velcrorex » September 15th, 2013, 6:21 pm

p6 knightship:

Code: Select all

x = 23, y = 12, rule = B3/S345
4b3o$4b3o10b3o$bbo9boo4b5o$bbobboo3b3obobboobbo$bo4bo3boob3obobobo$oo
4b3obbobo5bo$boo4bo$bob4obb3o3bo$bbobb4obbobbo$bb3obboboobbobo$3b3obbo
3bobbo$15bo!
-Josh Ball.

hobbyprogrammer77
Posts: 25
Joined: June 12th, 2013, 10:47 am

Re: B3/S345

Post by hobbyprogrammer77 » September 16th, 2013, 8:38 am

Using gfind I found c/2 and c/3:

Code: Select all

x = 20, y = 17, rule = B3/S345
o2bo8b4o$o2bo4bob2ob2ob2obo$4o4b2o8b2o$b2o5b2obo4bob2o$11b2o2b2o2$9bob
o4bobo2$9b2o6b2o2$10bo6bo$8bobo6bobo$8b4o4b4o$8b2o8b2o$12bo2bo$13b2o$
13b2o!

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Lewis
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Re: B3/S345

Post by Lewis » September 16th, 2013, 10:16 am

More oscillators (P4, 6, 14 and 15):

Code: Select all

x = 47, y = 56, rule = 345/3
3bo3bo19b5o8b6o$15b5o6bob3obo6bob4obo$3bo3bo6bob3obo5b2obob2o
6b2ob2ob2o$14b2obob2o5b3ob3o6b3o2b3o$3bobobo6b3ob3o5b3ob3o6b3o
2b3o$14b2obob2o5b2obob2o6b2ob2ob2o$7bo6bob3obo5bob3obo6bob4ob
o$15b5o7b5o8b6o$7bo8$3bobobo18bobo$16bo3bo3b3ob3o$3bo12b2ob2o
4b2ob2o$16b2ob2o5bobo$3bobobo9bobo6bobo$16b2ob2o4b2ob2o$3bo3b
o8b2ob2o3b3ob3o$16bo3bo5bobo$3bobobo4$36bo$32b2ob2o$o3bo3bo18b
3o2b2ob2o$28b4o2b2o$o3bo3bo7b3o11b2o2b2o$17b2o9b2o6b2o$o3bobo
bo19b2o6b2o$17b2o11b2o2b2o$o7bo7b3o11b2o2b4o$29b2ob2o2b3o$o7b
o20b2ob2o$29bo8$o3bobobo2$o3bo$17bo7bo$o3bobobo7b2ob2ob2ob2o$
16b2ob2ob2ob2o$o7bo8bo7bo2$o3bobobo!

Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: B3/S345

Post by Sphenocorona » September 16th, 2013, 7:58 pm

Natural billiard tables of odd or otherwise uncommon periods (the rotors are natural at least...):

Code: Select all

x = 96, y = 54, rule = B3/S345
19bo28bo33bo2$6bobobo7bo11bobobo12bo12bobobo16bo6bobobo2$10bo8bo10bo
17bo15bo17bo5bo3bo2$6bobobo7bo11bobobo12bo14bobo16bo6bobobo2$10bo8bo
14bo13bo15bo17bo9bo2$6bobobo7bo11bobobo12bo16bo16bo10bo7$7b2ob2o$3b2o
2b2ob2o10b2ob2o$3b2o5bo11b5o40b2ob2ob2o$2b2ob4ob2o15b2o7b2ob2o2b2o5b2o
7b2o6b2ob2ob2o19b2o$2b2obobob3o12b5o2b2o3b2ob2o2b2o5b2o2bobo2b2o7bo2bo
2bob2o9b2ob2o2b2o$5bo2b2o14b2obob4o7b4ob2o5b7o8b2ob5ob2o9b2ob4o$6o4b2o
17bo6b2obo4b3o5bo5bo4b2o2b3obo3bo13bobobo$2o2b4ob3o12b2o3bob2o3b2ob2o
2bobo7bo3bob2o2b4o2bob2ob6o9bo3b2o$6bo3bo13b2ob6o4bobo3b3o6b2obobob2o
5bo2b2o5bob2o8b2o3b2o$6b2o2b2o13bobo9bo2b2o3b3o5bo2b3o4b2ob3ob4ob2o11b
obo2bo$3b2obo2b3o12b2ob6o3b2ob2ob3ob2o4b3o2bob2o2b4obobobo3b6o5b2o2bob
2o$3b6o15b3ob2ob2o3b2ob2ob2o8b2ob3ob2o6b2obob4ob2ob2o5bob4obo$9b5o30b
6o4b2ob2o6b2o2b2o2b2o13b2o2b2o$5b2o2b2ob2o10b11o9b2o2b2o4b2ob2o6b2o2b
3o4b6o$5b2o17b2ob2ob2ob2o31b2obo2b6o2b2o$66b2o2b3ob2o$68b2o$68b2ob2ob
2o$69bob2ob2o$68b2o$68b2o4$44b2ob2ob2o$44b2ob2ob2o$41b2obo15bobobo$41b
2ob2ob2ob2o$44b2ob2ob2o8bo3bo$41b3o2bo2bo$41b2ob5ob2o8bobobo$43b2o3bob
2o$43bob5o10bo3bo$42b2obobobo$43bo5b2ob2o6bobobo$42b2obobo2b4o$42bob6o
bo!
I've declined to add p2, p4 and p6 oscillators.

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Lewis
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Re: B3/S345

Post by Lewis » September 17th, 2013, 12:35 pm

P13 billiard table (I'm sure this can be reduced by a lot):

Code: Select all

x = 32, y = 32, rule = 345/3
9b2ob2o4b2ob2o$9b5o4b5o2$11b3o4b3o$6b2o2bobobo2bobobo2b2o$6b6o
2b4o2b6o$4b2obo6bo2bo6bob2o$4b3ob16ob3o$5bobobobo8bobobobo$2o
3bob2ob2o8b2ob2obo3b2o$2o2b2obobob2o6b2obobob2o2b2o$bobobob4o
b3o2b3ob4obobobo$2ob2o2bo2b2o2b4o2b2o2bo2b2ob2o$2obo3bo3bo2bo
2bo2bo3bo3bob2o$4b4o3b3ob2ob3o3b4o$5bobo4bobo2bobo4bobo$5bobo
4bobo2bobo4bobo$4b4o3b3ob2ob3o3b4o$2obo3bo3bo2bo2bo2bo3bo3bob
2o$2ob2o2bo2b2o2b4o2b2o2bo2b2ob2o$bobobob4ob3o2b3ob4obobobo$2o
2b2obobob2o6b2obobob2o2b2o$2o3bob2ob2o8b2ob2obo3b2o$5bobobobo
8bobobobo$4b3ob16ob3o$4b2obo6bo2bo6bob2o$6b6o2b4o2b6o$6b2o2bo
bobo2bobobo2b2o$11b3o4b3o2$9b5o4b5o$9b2ob2o4b2ob2o!

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velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: B3/S345

Post by velcrorex » September 17th, 2013, 6:04 pm

Period 11 and 13 billiard tables:

Code: Select all

x = 35, y = 39, rule = 345/3
bbo3bo20bobbobobo$$bbo3bo20bo6bo$30bobo$bbo3bo20bo6bo$$bbo3bo20bobbobo
bo5$oo6boo$oobbob4o19bobboo$b5obo16boob7o$bo3booboo14b4o4bo$bbo3boboo
13boo5b3o$boobboo17boo3booboo$bbo3b4o13boo5b3o$booboboboo14b4o4bo$b5o
18boob7o$3bo25bobboo8$3booboo$3booboo18boo$bboobo20boobboboo$bbo3boobb
oo13boob6o$3b3ob5o13bobobobo$4obboo16b5obbo$oobo3bob3o12bo6b3o$3bobob
ooboo13b3obooboo$7o17boobobbo$oobbobbooboo12bob8o$7booboo13boobbobboo!
-Josh Ball.

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Lewis
Posts: 337
Joined: March 17th, 2009, 5:26 pm
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Re: B3/S345

Post by Lewis » September 18th, 2013, 2:14 am

Another P13 (I'm having a hard time stabilising these compared to in rules like b3/s234 mind):

Code: Select all

x = 23, y = 13, rule = 345/3
5b2ob2o3b2ob2o$5b2ob2o3b2ob2o$6bobo5bobo$6bobo5bobo$2o2b3ob2o
3b2ob3o2b2o$5ob3o5b3ob5o$4bo3b2o3b2o3bo$5ob2o7b2ob5o$2o2b4obo
3bob4o2b2o$8b3ob3o$4b4o2bobo2b4o$4b2ob4ob4ob2o$9b2ob2o!
EDIT: and a P9:

Code: Select all

x = 15, y = 11, rule = 345/3
4b2o3b2o$2o2b2o3b2o2b2o$5o5b5o$4bo5bo$4o7b4o$2o2bo5bo2b2o$2b2o
2bobo2b2o$2b4o3b4o$6bobo$2b5ob5o$2b2ob2ob2ob2o!
EDIT again: loads this time, including periods 5, 7, 8, 9, 11, 12, 13, 15, 16, 18, 27 and 62 (I think I've finally got the hang of stabilising these, just about):

Code: Select all

x = 173, y = 98, rule = 345/3
obobo8b2o8b2o$13b2o8b2o$o13bob2o2b2obo$13b2ob2o2b2ob2o$obobo8b
2obo4bob2o$15b2o4b2o51b2ob2ob2ob2ob2ob2o$4bo10bo2b2o2bo51b2ob
2ob2ob2ob2ob2o$12b2ob2ob2ob2ob2o31bo3bobobo$obobo7b2ob2ob2ob2o
b2o48b2ob5ob5ob2o$57bo7bo8b2ob2ob2ob2ob2ob2o$75bo2bobo3bobo2b
o$57bo3bobobo9bob2o7b2obo$74b2obo9bob2o$57bo3bo12b2ob4o3b4ob2o
49bo3bobobo7b2ob2obo2bo2bo$18b2o2b2o53bob2o3b2obo68b3ob11o$ob
obo13b2o2b2o33bo3bobobo8b2obo9bob2o49bo3bo3bo9bo6bobob2o$12b2o
2bobob2obobo2b2o44b4o9b4o67b5o2b2o$4bo7b8o2b8o46bo11bo51bo3bo
bobo10bobobobo$17bo2b2o2bo51bo11bo70bobobobo$4bo9b2o10b2o45b2o
b2o9b2ob2o48bo3bo3bo9b5o2b2o$14b2o10b2o45b2ob2o9b2ob2o66bo6bo
bob2o$4bo12bo2b2o2bo115bo3bobobo7b3ob11o$12b8o2b8o126b2ob2obo
2bo2bo$4bo7b2o2bobob2obobo2b2o$18b2o2b2o$18b2o2b2o4$12b2ob2o6b
2ob2o$12b2ob4o2b4ob2o$15bo2b4o2bo33bo3bobobo13b2ob2o$12b3ob2o
4b2ob3o52b2ob2o$bobobo6b2obobo4bobob2o30bo7bo10b2ob2ob2ob2o49b
obobo3bobobo6b2ob2ob2ob2ob2ob2o$13bob2o6b2obo50b2o2bobo2b2o68b
2ob2ob2ob2ob2ob2o$bo3bo7b2o10b2o31bo3bobobo7b2obobobobobobob2o
50bo7bo7bo2bo2bobo2bo2bo$14bo10bo48b8ob8o66bob3o5b3obo$bobobo
8bo10bo32bo7bo70bobobo7bo6b2o2bobo3bobo2b2o$13b2o10b2o47b8ob8o
65b2o2b2o5b2o2b2o$bo3bo7bob2o6b2obo31bo3bobobo7b2obobobobobob
ob2o46bo11bo11bo5bo$12b2obobo4bobob2o49b2o2bobo2b2o68b5ob2ob2o
b5o$bobobo6b3ob2o4b2ob3o49b2ob2ob2ob2o49bobobo7bo6b2ob2ob2ob2o
b2ob2o$15bo2b4o2bo55b2ob2o$12b2ob4o2b4ob2o52b2ob2o$12b2ob2o6b
2ob2o3$137bobobo3bobobo2$137bo11bo$74b2o2b2o9b2o2b2o$74b6o9b6o
15b2o25bobobo3bobobo8b2o5b2o$75bo2bo11bo2bo16b2o46b2o5b2o$bob
obo12bo56bo2bo11bo2bo16b2o25bo3bo3bo12bob2ob2obo$13bo3bobo54b
6o9b6o65b2ob2o$bo3bo5b6obo55b2o2b2o9b2o2b2o14b4o24bobobo3bobo
bo$11b2obo2bo40bo3bobobo43b2o$bobobo8bo2bo90b2o2b2o$11b7o40bo
3bo20b3o21bobo2bobo$5bo5b2obo2b2o63bobobo18bob2ob2ob2obo$13b2o
b2o40bo3bobobo15b2ob2o14b3ob2o2bo2bo2b2ob3o$bobobo7b2ob2o64bo
bobo14b3ob2o2bo2bo2b2ob3o$58bo7bo16b3o19bob2ob2ob2obo$107bobo
2bobo$58bo3bobobo41b2o2b2o$74b2o2b2o9b2o2b2o15b2o$74b6o9b6o14b
4o$75bo2bo11bo2bo$75bo2bo11bo2bo16b2o$10b2o25b2o35b6o9b6o15b2o
$10b2o2b2o17b2o2b2o35b2o2b2o9b2o2b2o15b2o$12b4o5b2o3b2o5b4o$12b
o8b2o3b2o8bo$11b2o2b3obobo5bobob3o2b2o$11b2obobob4o5b4obobob2o
$14b2ob2o2b2o3b2o2b2ob2o$14bobobob2o5b2obobobo$15b3obo2bo3bo2b
ob3o$14b2o2bob3o3b3obo2b2o37b2ob2o13b2ob2o$o3bo10bobobobo5bob
obobo23bo3bobobo6b2ob2o13b2ob2o$12b6ob2o7b2ob6o36bob2ob2ob2ob
2ob2ob2obo$o3bo7b2o2bob2o9b2obo2b2o20bo3bo10b2o2b4ob2ob2ob4o2b
2o$72b2obo2bobobobobobo2bob2o$o3bo52bo3bobobo9b2ob2ob2ob2ob2o
b2o$72b2obobobobo3bobobobob2o$o3bo7b2o2bob2o9b2obo2b2o20bo3bo
3bo6b3ob2o2bo5bo2b2ob3o$12b6ob2o7b2ob6o38bob3obo3bob3obo$o3bo
10bobobobo5bobobobo23bo3bobobo6b2ob2o2b2o5b2o2b2ob2o$14b2o2bo
b3o3b3obo2b2o37b3o2bobo7bobo2b3o$15b3obo2bo3bo2bob3o40b2ob3o7b
3ob2o$14bobobob2o5b2obobobo41bobo9bobo$14b2ob2o2b2o3b2o2b2ob2o
41bobo9bobo$11b2obobob4o5b4obobob2o37b2ob2o7b2ob2o$11b2o2b3ob
obo5bobob3o2b2o37b2ob2o7b2ob2o$12bo8b2o3b2o8bo$12b4o5b2o3b2o5b
4o$10b2o2b2o17b2o2b2o$10b2o25b2o!
EDIT: More! (I find stabilizing these a nice sort of puzzle).
Includes periods 10, 14, 23, 25, 27, 29, 31, 35, 38 and 47.

Code: Select all

x = 142, y = 163, rule = 345/3
3bo3bobobo5b2o2bo2b2o$17b9o$3bo3bo3bo6bo5bo$18b3o2b2o$3bo3bo3b
o5b2obobob2o$17b2obobob2o$3bo3bo3bo6b3o2b2o$18bo5bo$3bo3bobob
o5b9o$17b2o2bo2b2o4$117b2ob2o2bo2b2ob2o$117b2ob9ob2o$29b2ob2o
b2o$29b2ob2ob2o80b2ob2ob3ob2ob2o$26b2obo6bob2o77b2ob4ob4ob2o$
26b2ob2ob2ob2ob2o76b2o2bo2bobo2bo2b2o$30bob2obo20b2o59b6o3b6o
$26b5o4b5o16b2o59bobo3bobo3bobo$22b2obobo3b4o3bobob2o72b2ob3o
5b3ob2o$22b2ob2ob3ob2ob3ob2ob2o12b4o52bo2bo2b2obo5bob2o2bo2bo
$5bo3bo3bo11bobo10bobo15b4o47b2ob6o2bob2o5b2obo2b6ob2o$20b4ob
obo10bobob4o6b2o8b2o43b2ob2obo2b2ob2ob2ob2ob2ob2o2bob2ob2o$5b
o3bo3bo6b2ob3obo10bob3ob2o6b5o2b5o49b4obobo2bobo2bobob4o$26bo
12bo13bo2b4o2bo30bobobo3bo5b2ob4obob3ob3ob3ob3obob4ob2o$5bo3b
obobo6b2ob2ob2o10b2ob2ob2o7b4o2b4o44b2ob2obob3o2bob2ob2obo2b3o
bob2ob2o$20b2ob2ob2o10b2ob2ob2o6b2o8b2o33bo3bo6bo2bobo4bob2o5b
2obo4bobo2bo$5bo7bo12bo12bo13bob6obo45bob3obo3b4o5b4o3bob3obo
$20b2ob3obo10bob3ob2o7b2ob4ob2o30bobobo3bo5b2obo27bob2o$5bo7b
o6b4obobo10bobob4o6b2obob2obob2o44bob3obo3b4o5b4o3bob3obo$25b
obo10bobo12bo2bo2bo2bo34bo3bo6bo2bobo4bob2o5b2obo4bobo2bo$22b
2ob2ob3ob2ob3ob2ob2o9b2obo2bob2o44b2ob2obob3o2bob2ob2obo2b3ob
ob2ob2o$22b2obobo3b4o3bobob2o10bobo2bobo31bobobo3bo5b2ob4obob
3ob3ob3ob3obob4ob2o$26b5o4b5o13b10o50b4obobo2bobo2bobob4o$30b
ob2obo17b2o6b2o44b2ob2obo2b2ob2ob2ob2ob2ob2o2bob2ob2o$26b2ob2o
b2ob2ob2o17b2o48b2ob6o2bob2o5b2obo2b6ob2o$26b2obo6bob2o17b2o53b
o2bo2b2obo5bob2o2bo2bo$29b2ob2ob2o79b2ob3o5b3ob2o$29b2ob2ob2o
80bobo3bobo3bobo$117b6o3b6o$116b2o2bo2bobo2bo2b2o$117b2ob4ob4o
b2o$117b2ob2ob3ob2ob2o2$21b2o13b2o79b2ob9ob2o$bobobo3bobobo6b
ob4o7b4obo78b2ob2o2bo2b2ob2o$20b2obo11bob2o$5bo7bo7b2ob3o5b3o
b2o14b2ob2o$21bobo2b2o3b2o2bobo14b2ob2o$bobobo3bobobo7bobo2b2o
3b2o2bobo8b2obob2o3b2obob2o$23b3o7b3o10b5ob2ob2ob5o$bo11bo10b
2o7b2o15bo2bobo2bo65b2o$46b2obob2o3b2obob2o61b2o$bobobo3bobob
o32b7o3b7o54b2ob2o8b2ob2o$117b5o2b4o2b5o$24b2o7b2o11b7o3b7o30b
obobo3bobobo6b2ob2obo3b3o2b3o3bob2ob2o$23b3o7b3o10b2obob2o3b2o
bob2o49b2ob2ob5ob4ob5ob2ob2o$21bobo2b2o3b2o2bobo12bo2bobo2bo38b
o3bo14b2obo2bobo2bobo2bob2o$21bobo2b2o3b2o2bobo8b5ob2ob2ob5o49b
4obo6b4o6bob4o$21b2ob3o5b3ob2o8b2obob2o3b2obob2o30bobobo3bobo
bo6b2obobo5b2o2b2o5bobob2o$20b2obo11bob2o13b2ob2o56bob3o5bo4b
o5b3obo$20bob4o7b4obo13b2ob2o40bo7bo6b2obo20bob2o$21b2o13b2o75b
ob3o5bo4bo5b3obo$93bobobo3bobobo6b2obobo5b2o2b2o5bobob2o$112b
4obo6b4o6bob4o$116b2obo2bobo2bobo2bob2o$112b2ob2ob5ob4ob5ob2o
b2o$112b2ob2obo3b3o2b3o3bob2ob2o$117b5o2b4o2b5o$117b2ob2o8b2o
b2o$126b2o$29b2o3b2o90b2o$25b2o2b2o3b2o2b2o$24bob4o5b4obo$24b
2obob2o3b2obob2o$bobobo3bobobo6b2o3bobobo5bobobo3b2o$20b2o2bo
b2obo5bob2obo2b2o$5bo3bo11b4obo3bo3bo3bob4o74b2o11b2o$21b2ob3o
b3o3b3ob3ob2o74b2o11b2o$bobobo3bobobo102b2o2b2o7b2o2b2o$21b2o
b3ob3o3b3ob3ob2o71bobo2bobo5bobo2bobo$bo11bo7b4obo3bo3bo3bob4o
71b2ob2ob2o5b2ob2ob2o$20b2o2bob2obo5bob2obo2b2o68b2o2b2obob2o
3b2obob2o2b2o$bobobo3bobobo6b2o3bobobo5bobobo3b2o68b2o2bob2ob
obobobob2obo2b2o$24b2obob2o3b2obob2o52bobobo3bobobo9b2ob2o2b2o
3b2o2b2ob2o$24bob4o5b4obo74bobo2b3obobob3o2bobo$25b2o2b2o3b2o
2b2o57bo3bo3bo10b5o9b5o$29b2o3b2o82bo13bo$93bobobo3bobobo2$97b
o3bo3bo$118bo13bo$93bobobo3bobobo10b5o9b5o$115bobo2b3obobob3o
2bobo$27b2o2b2ob2o2b2o75b2ob2o2b2o3b2o2b2ob2o$27b6ob6o73b2o2b
ob2obobobobob2obo2b2o$113b2o2b2obob2o3b2obob2o2b2o$27b3ob2ob2o
b3o75b2ob2ob2o5b2ob2ob2o$27b3ob2ob2ob3o75bobo2bobo5bobo2bobo$
30bo5bo79b2o2b2o7b2o2b2o$27b5o3b5o78b2o11b2o$20b2ob2obobo2bo3b
o2bobob2ob2o71b2o11b2o$obobo3bobobo7b2ob2ob2ob3o3b3ob2ob2ob2o
$21bob2obobob2o3b2obobob2obo$4bo7bo8bo3b2ob2o7b2ob2o3bo$20b2o
b2ob4o7b4ob2ob2o$obobo7bo7b2ob2o17b2ob2o2$o11bo7b2ob2o17b2ob2o
$20b2ob2ob4o7b4ob2ob2o$obobo7bo8bo3b2ob2o7b2ob2o3bo72b2ob2ob2o
b2ob2ob2o$21bob2obobob2o3b2obobob2obo72b2ob2ob2ob2ob2ob2o$20b
2ob2ob2ob3o3b3ob2ob2ob2o72bobobo5bobobo$20b2ob2obobo2bo3bo2bo
bob2ob2o72bob3o5b3obo$27b5o3b5o78b3o2b2o3b2o2b3o$30bo5bo76b2o
2bobob3obobob3obobo2b2o$27b3ob2ob2ob3o73b6ob2ob3ob3ob2ob6o$27b
3ob2ob2ob3o77bobobo3bobo3bobobo$113b4ob3ob2obobob2ob3ob4o$27b
6ob6o73b2obobo2bob3ob3obo2bobob2o$27b2o2b2ob2o2b2o50bo3bo3bob
obo12b5ob2o7b2ob5o$113b2o2bobo2bo7bo2bobo2b2o$90bo3bo7bo10b2o
3b5o7b5o3b2o2$90bobobo7bo10b2o3b5o7b5o3b2o$113b2o2bobo2bo7bo2b
obo2b2o$94bo7bo12b5ob2o7b2ob5o$113b2obobo2bob3ob3obo2bobob2o$
94bo7bo10b4ob3ob2obobob2ob3ob4o$117bobobo3bobo3bobobo$35b2ob2o
73b6ob2ob3ob3ob2ob6o$35b2ob2o73b2o2bobob3obobob3obobo2b2o$29b
2ob2ob2ob2ob2ob2o72b3o2b2o3b2o2b3o$29b2ob2o3bo3b2ob2o73bob3o5b
3obo$27b2obo2bob2ob2obo2bob2o71bobobo5bobobo$26bobob5obobob5o
bobo69b2ob2ob2ob2ob2ob2o$26b2ob2obo2b2ob2o2bob2ob2o69b2ob2ob2o
b2ob2ob2o$24b2o2bobob2o2bobo2b2obobo2b2o$24b6ob2o3bobo3b2ob6o
$27bo2bob5ob5obo2bo$2bobobo3bobobo9b2ob5o2bobobobo2b5ob2o$24b
4obobo2bobobobo2bobob4o$6bo3bo3bo12bo3b3obo3bob3o3bo$22b3obob
o2bo2bo5bo2bo2bobob3o$2bobobo3bobobo7b3ob8o7b8ob3o$25bo23bo$2b
o11bo7b3ob8o7b8ob3o$22b3obobo2bo2bo5bo2bo2bobob3o$2bobobo3bob
obo12bo3b3obo3bob3o3bo$24b4obobo2bobobobo2bobob4o$24b2ob5o2bo
bobobo2b5ob2o$27bo2bob5ob5obo2bo$24b6ob2o3bobo3b2ob6o$24b2o2b
obob2o2bobo2b2obobo2b2o$26b2ob2obo2b2ob2o2bob2ob2o$26bobob5ob
obob5obobo$27b2obo2bob2ob2obo2bob2o$29b2ob2o3bo3b2ob2o$29b2ob
2ob2ob2ob2ob2o$35b2ob2o$35b2ob2o!
And the P62 I posted above is extensible, as shown below:

Code: Select all

x = 49, y = 56, rule = 345/3
12bobobo3bobobo$32bo9bo$16bo3bo3bo5b3o9b3o$31b2obo5bob2o$12bo
bobo3bo3bo6bob2o5b2obo$33b2obobob2o$16bo3bo3bo10b2ob2o$35b2ob
2o$12bobobo3bobobo10bo3bo7$12bobobo3bobobo2$12bo11bo8b2o5b2o$
33b2o5b2o$12bobobo3bobobo8bob2ob2obo$35b2ob2o$12bo3bo3bo2$12b
obobo3bobobo7$8bo3bobobo3bobobo17bo$40b3o$8bo7bo3bo11bo8b3o$32b
3o4b2o$8bo3bobobo3bobobo7b2o2bo2b2o$34b2ob2o$8bo3bo7bo3bo9b2o
b2o$35bobo$8bo3bobobo3bobobo7$46b3o$o3bobobo3bobobo3bobobo22b
2o$44b3o$o3bo3bo7bo7bo20b3o$32b3o8b2o$o3bo3bo3bobobo3bobobo7b
2o9b3o$34b2o4b3o$o3bo3bo3bo7bo13b2o2bo2b2o$36b2ob2o$o3bobobo3b
obobo3bobobo10b3ob3o$39bo!

Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: B3/S345

Post by Sphenocorona » September 18th, 2013, 6:29 pm

Yesterday I discovered a fair amount of billiard oscillators but then golly crashed (they have not been posted yet by anyone still). I remembered a p3 because of its simplicity, but I cannot find my favorite one (a p20) because it was very rare :cry: Here is the p3:

Code: Select all

x = 9, y = 9, rule = B3/S345
b2obob2o$ob5obo$2obobob2o$bo5bo$2o5b2o$b7o$2o5b2o$ob5obo$b2obob2o!
EDIT(s): In the mean time I found p38 and p9 billiard tables, and I think I re-found one of my other billiard tables:

Code: Select all

x = 57, y = 13, rule = B3/S345
3b2ob2ob2ob2o32b2ob2ob2ob2o$3b2ob2ob2ob2o32b2ob2ob2ob2o$4bo2bobo2bo6b
2ob2ob2ob2o17bo2bobo2bo$b6o3b6o3b2ob2ob2ob2o16b2ob2ob2ob2o$b2obo2bobo
2bob2o5bo5bo19bo7bo$2o2b4ob4o2b2o4bo5bo4b2ob2o2b2ob2o3b2o5b2o$2o2bob2o
b2obo2b2o3b2o5b2o3b2ob2o2b2ob2o2b2o7b2o$2b2obo5bob2o5bob2ob2obo6bo4bo
6b2o5b2o$2bo2bo5bo2bo4b2o2bobo2b2o2b2obo4bob2o3bo7bo$3b3o5b3o6b4ob4o3b
4o4b4o2b2ob2ob2ob2o$4bob2ob2obo7bo2bobo2bo18bo2bobo2bo$3b2ob2ob2ob2o5b
2ob2ob2ob2o2b12o2b2ob2ob2ob2o$3b2ob2ob2ob2o5b2ob2ob2ob2o2b2o2bo2bo2b2o
2b2ob2ob2ob2o!
Also the p62 oscillator posted is one of a huge family of 1D XOR automaton emulating oscillators. (the one that looks like a ship, the ones with a bit added to the block, and the extremely common 2 cell flip-flop billiard rotors are all examples of this)

In addition, here's a small c/2 wickstretcher:

Code: Select all

x = 8, y = 6, rule = B3/S345
bo4bo$3o2b3o$obo2bobo$2b4o$b2o2b2o$bo4bo!
Taking off the bottom two live cells will make the pattern become what would appear to be possibly a messy but still periodic quadratic growth pattern.

User avatar
Lewis
Posts: 337
Joined: March 17th, 2009, 5:26 pm
Location: UK
Contact:

Re: B3/S345

Post by Lewis » September 19th, 2013, 5:17 am

New oscillators, periods included are 3, 4, 6, 7, 9, 19, 23, 49 and 126.

Code: Select all

x = 132, y = 97, rule = 345/3
2bobobo$11b2ob2ob2o$6bo3bob6obo$10b2obo2bob2o$2bobobo4bobo2bo
bo$11bobo2bobo$6bo3b2obo2bob2o$10bob6obo$2bobobo4b2ob2ob2o3$15b
2o92b2ob2ob2ob2o$13bo4bo90b2ob2ob2ob2o$2bo3bo5b2o4b2o88b2obob
obobob2o$11bob6obo5b2ob2ob2o73bobob2o3b2obobo$2bo3bo3b3obo2bo
b3o4b2ob2ob2o68b2o2bob2obo5bob2obo2b2o$12b2ob2ob2o9bo2bo68bob
4obob2o5b2obob4obo$2bobobo2bo2bobo2bobo2bo6b4o68b2o2b2obobobo
3bobobob2o2b2o$9bo2bobo2bobo2bo4b2o4b2o67bo2bobob4o3b4obobo2b
o$6bo5b2ob2ob2o7b2o4b2o67b3ob2obob2o3b2obob2ob3o$10b3obo2bob3o
6b2o2b2o67b3obobobo2bo3bo2bobobob3o$6bo4bob6obo7b2o2b2o66bo3b
3ob2obo5bob2ob3o3bo$12b2o4b2o79bob3o3bob2o7b2obo3b3obo$13bo4b
o78b5o2b5obob2ob2obob5o2b5o$15b2o80b2o3b3o3b2ob2o3b2ob2o3b3o3b
2o$99b4ob2obo2bo7bo2bob2ob4o$32b2o8b2ob2o5b2o2b2o18bobobo3bob
obo8b2obo2b4o2b2o7b2o2b4o2bob2o$27b2ob4o8b2ob2o5b6o39b3o9bo9b
o9b3o$2bobobo20b2ob2o11bobo7bo2bo23bo7bo$25b2obo2bob3o7b3o7b4o
40b3o9bo9bo9b3o$2bo22b2ob4ob3o5b2o3b2o3b2o4b2o17bobobo3bobobo
8b2obo2b4o2b2o7b2o2b4o2bob2o$12b2ob2o6b2o2bo4bo8b2o3b2o3b2o4b
2o40b4ob2obo2bo7bo2bob2ob4o$2bobobo4b3ob3o5b2ob2o4b2o42bo11bo
8b2o3b3o3b2ob2o3b2ob2o3b3o3b2o$26bo6bo7b2o3b2o3b2o4b2o38b5o2b
5obob2ob2obob5o2b5o$2bo3bo4b3ob3o8b2o4b2ob2o4b2o3b2o3b2o4b2o17b
obobo3bobobo10bob3o3bob2o7b2obo3b3obo$12b2ob2o10bo4bo2b2o6b3o
7b4o43bo3b3ob2obo5bob2ob3o3bo$2bobobo17b3ob4ob2o8bobo7bo2bo44b
3obobobo2bo3bo2bobobob3o$24b3obo2bob2o7b2ob2o5b6o44b3ob2obob2o
3b2obob2ob3o$28b2ob2o9b2ob2o5b2o2b2o44bo2bobob4o3b4obobo2bo$26b
4ob2o68b2o2b2obobobo3bobobob2o2b2o$26b2o73bob4obob2o5b2obob4o
bo$102b2o2bob2obo5bob2obo2b2o$107bobob2o3b2obobo$108b2obobobo
bob2o$109b2ob2ob2ob2o$109b2ob2ob2ob2o$3bobobo13b2o2b2o$20bob4o
bo$7bo11bob2o2b2obo$17b3o2bo2bo2b3o$7bo5b2obob5o2b5obob2o$13b
2ob2o2bo6bo2b2ob2o69b2ob2o7b2ob2o$7bo8b2o2bo6bo2b2o72b2ob2o7b
2ob2o$16bob5o2b5obo73bob2ob2ob2ob2obo$7bo9b3o2bo2bo2b3o74bo2b
ob2ob2obo2bo$19bob2o2b2obo75b4obo5bob4o$20bob4obo72b2o2bobob2o
5b2obobo2b2o$21b2o2b2o73b5obobo7bobob5o$78bo3bo3bobobo14b4o7b
4o$102b4obo9bob4o$78bo3bo3bo3bo11b2o17b2o2$78bobobo3bobobo11b
2o17b2o$102b4obo9bob4o$82bo7bo14b4o7b4o$100b5obobo7bobob5o$82b
o3bobobo9b2o2bobob2o5b2obobo2b2o$13b2o2bo2bo2b2o79b4obo5bob4o
$bobobo7b12o80bo2bob2ob2obo2bo$14bobob2obobo81bob2ob2ob2ob2ob
o$bo3bo7b2o2bo2bo2b2o79b2ob2o7b2ob2o$14bo8bo80b2ob2o7b2ob2o$b
obobo8bo8bo$13b2o2bo2bo2b2o$5bo8bobob2obobo$13b12o$bobobo7b2o
2bo2bo2b2o8$20b2o2b2o$16b2obob4obob2o50bo3bobobo3bobobo$o3bob
obo7b3obo4bob3o$18bobo4bobo52bo7bo3bo$o3bo3bo5b5obo4bob5o$14b
2o2bobo4bobo2b2o48bo3bobobo3bobobo6b2ob2ob2ob2o$o3bobobo9b2o6b
2o75b2ob2ob2ob2o$19b3o2b3o53bo3bo7bo3bo7bo7bo$o7bo7b3o2b4o2b3o
$16b3o8b3o50bo3bobobo3bobobo$o3bobobo14b2o$16b5o2b7o$16b2ob2o
4b2ob2o!
So far, the lowest periods with no known oscillator are 17, 22, 24 and 26.

Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: B3/S345

Post by Sphenocorona » September 19th, 2013, 9:57 pm

Here's a p32766:

Code: Select all

x = 47, y = 14, rule = B3/S345
39bo$37b3ob2o$38b2ob2o$35b3o5b2o$35bobo4b3o$33bob2o8bo$33b2o7b3o$33b2o
8b2o$41bo$32b3o6b6o$4bobobobobo5bo11bo2b2o5b3o2b2o$3ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2o9bo$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$13bo3bobobobobobo!
(in all serirousness, it worth noting that oscillators of arbitrarily large periods can be created from such emulation of the 1D XOR automaton, but I think this is enough to show how it is so easy to create such oscillators. Cases where such an oscillator can be hooked up to something else that oscillates by a different mechanism, that is something worth posting though.)

EDIT: P5 and a P10 variant, as well as a P13 (P5's and p13's seem to be the most common odd periods for billiard table oscillators):

Code: Select all

x = 27, y = 32, rule = B3/S345
2b2o14b2o$2b2o2b2o10b2o2b2o$2o2b3obo4b2ob2o2b3obo$2obobob4o2b5obobob4o
$2b2o3bob2o7b2o3bob2o$2bo4bo7b2obo4bo$2ob2ob2o7b2ob3ob2o$2o2bobo10bo2b
obo$bob2ob2o9bo2bobo$bob2ob2o8b2ob2ob2o$2o14b2ob2ob2o$2o6$9b2o2b2ob2o$
9b2o2b2ob2o$4b2ob2ob3o3bob2o$4b2ob2obob8o$7bo2bo3bobo$7b4o2bo2bob2o$4b
2obo2bo2bo2b4o$4b2obo2bo3b2obo2b2o$7b4ob3ob2o2b2o$7b2obobo3bo$10bob4ob
5o$7b2ob2o2b2ob2ob2o$7b2ob2o5bo$14b2ob2ob2o$14b2ob2ob2o!
Maybe oscillators that carve out a bit from a corner like this can be made to create p(2^n) oscillators for arbitrary n, for the base oscillator's period p.

User avatar
velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: B3/S345

Post by velcrorex » September 20th, 2013, 8:31 am

These oscillators are fantastic. Are you both finding these by running the rule from a random configuration and seeing what oscillators remain in the growing 'stable' area? Or do you have other methods?

Meanwhile, here's a 2c/6 spaceship, two 2c/7 spacehips, and a 2c/7 wickstretcher:

Code: Select all

x = 52, y = 128, rule = 345/3
26boo6bo$25bobo4b3o$15b3o7b5obobbo$17bobo9bo3boo$17bob4obb4o4bo$17bobo
bo4boo8boo$17bobboboo11bobo$17bobboboo11bobo$17bobobo4boo8boo$17bob4o
bb4o4bo$17bobo9bo3boo$15b3o7b5obobbo$25bobo4b3o$26boo6bo45$19bobobobob
o15boo$10boo5bob11obbobobobobobboo$10b3obbobobo4bobobobob13o5bo$10bobo
bboobo3boobbob4o3bobobobo6boboo$13bo5bobobob3obobbobobo10bobboo$3bo8b
15obbobo3bo8b5obo$3boobobo3bobobobobobobo3boobo12bobo$bobob4obo11b3o8b
oobo7boboo$oobobobboo13boo7boobobob3o4boo$oobobobboo13boo7boobobob3o4b
oo$bobob4obo11b3o8boobo7boboo$3boobobo3bobobobobobobo3boobo12bobo$3bo
8b15obbobo3bo8b5obo$13bo5bobobob3obobbobobo10bobboo$10bobobboobo3boobb
ob4o3bobobobo6boboo$10b3obbobobo4bobobobob13o5bo$10boo5bob11obbobobobo
bobboo$19bobobobobo15boo9$17bo4bo4boo3bo$21boo3boo4boo$16boo3boboo6bob
oo4boo$17boobbobboobbobob4ob5o$18boo3b3obobbo4b7o$13boobobobboobboobob
obob3obboo$14b4o3boobb11o$$14b4o3boobb11o$13boobobobboobboobobobob3obb
oo$18boo3b3obobbo4b7o$17boobbobboobbobob4ob5o$16boo3boboo6boboo4boo$
21boo3boo4boo$17bo4bo4boo3bo12$42boo$17bobobobobobobobobobobobobboo$5b
obobobobobob27o5bo$5b12obobobobobobobobobobobobo6boboo$6bobobobobobb3o
26bobboo$14b3oboo23b5obo$14boobb3o22bobo$18boo4bo18boboo$14bobobobboob
oo19boo$14bobobobbooboo19boo$18boo4bo18boboo$14boobb3o22bobo$14b3oboo
23b5obo$6bobobobobobb3o26bobboo$5b12obobobobobobobobobobobobo6boboo$5b
obobobobobob27o5bo$17bobobobobobobobobobobobobboo$42boo!
-Josh Ball.

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Lewis
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Re: B3/S345

Post by Lewis » September 20th, 2013, 12:44 pm

velcrorex wrote:Are you both finding these by running the rule from a random configuration and seeing what oscillators remain in the growing 'stable' area? Or do you have other methods?
Similar to this, running lots of small symmetrical random grids inside a confined square area, and filtering to find the ones with interesting periods. (That's how I haven't found many with even periods, something like p42 turns up too many false positives made of a p7 and a p6 that just happen to be near each other).
Then it's a case of (attempting to) stabilise them by hand.

Another question, what are the best induction coils (in terms of size or population) for this rule? I've been mainly using combinations blocks (and 2x3 or 2x4 rectangles) for everything but this becomes a problem with width 3 spaces.

EDIT: in the mean time, here's some more oscillators (p4, 6 and 14). They might've been posted before because they're all quite small and simple-ish:

Code: Select all

x = 45, y = 47, rule = 345/3
4bo3bo5b2o2bo2b2o$14b9o$4bo3bo7bo3bo$16bo3bo$4bobobo6b2o3b2o$
16bobobo$8bo7b5o$15b2o4b2o$8bo6b2o2b4o$19b2o6$17b2o$17b2o$5bo
bobo5b2o4b2o$15b8o$5bo11bobobo$17bo3bo$5bobobo6b2o3b2o$17bo3b
o$5bo3bo6b2obob2o$16bob2obo$5bobobo7b2ob2o$22b2o$22b2o6$20b2o
2b2o12b2o$20b2o2b4o6b2o2b2o$o3bo3bo9bobob2o2b2o6b4o2b2o$16b4o
bobo13bo2b2o$o3bo3bo7b2ob3ob5o8bob3ob2o$18bobob2ob3o8b2o4b2o$
o3bobobo9bo3bo14b2o3bo$17b2o3b2ob3o8b2o4bo$o7bo8bo4bob4o8bob3o
b2o$16b2o5bo9b2obobobobo$o7bo8bob7o7b2ob5obo$17b3o2bob2o9b2o2b
ob4o$16b2o17b2o6b2o$16b2o!
EDIT 2: p25, 27, 61 and 64:

Code: Select all

x = 77, y = 121, rule = 345/3
35b2o29b2o$35b2o2b2o21b2o2b2o$37b4o5b2o7b2o5b4o$37bo8b2o7b2o8b
o$36b2o2b3obob2ob2ob2ob2obob3o2b2o$36b2obobob3obob2ob2obob3ob
obob2o$39b2ob2o3b2obobob2o3b2ob2o$39bobob4o9b4obobo$3b2o2b2o2b
2o5b2o2b2o2b2o12b3o2bobobo3bobobo2b3o$3b2o2b2o2b2o5b2o2b2o2b2o
11b2obo2b6ob6o2bob2o$40bob3obo2b2ob2o2bob3obo$11b2o5b2o17b3o2b
ob2ob2obobob2ob2obo2b3o$11b2o5b2o17b5ob2obobobobobobob2ob5o$41b
o2bob2obo3bob2obo2bo$3b2o2b2o2b2o5b2o2b2o2b2o11b2o2b3o2bo5bo2b
3o2b2o$3b2o2b2o2b2o5b2o2b2o2b2o11b3o2b4o7b4o2b3o2$3b2o21b2o11b
3o2b4o7b4o2b3o$3b2o21b2o11b2o2b3o2bo5bo2b3o2b2o$41bo2bob2obo3b
ob2obo2bo$3b2o2b2o2b2o5b2o2b2o2b2o9b5ob2obobobobobobob2ob5o$3b
2o2b2o2b2o5b2o2b2o2b2o9b3o2bob2ob2obobob2ob2obo2b3o$40bob3obo
2b2ob2o2bob3obo$39b2obo2b6ob6o2bob2o$40b3o2bobobo3bobobo2b3o$
39bobob4o9b4obobo$39b2ob2o3b2obobob2o3b2ob2o$36b2obobob3obob2o
b2obob3obobob2o$36b2o2b3obob2ob2ob2ob2obob3o2b2o$37bo8b2o7b2o
8bo$37b4o5b2o7b2o5b4o$35b2o2b2o21b2o2b2o$35b2o29b2o11$45b2o$45b
2o$5b2o2b2o2b2o5b2o2b2o2b2o8b2ob2o3b3o$5b2o2b2o2b2o5b2o2b2o2b
2o8b2ob5obobo$45b2ob2o$13b2o13b2o8b4obo3bobob2o$13b2o13b2o8b6o
3b2o2b2o$48b3o$5b2o2b2o2b2o13b2o8b6o3b2o2b2o$5b2o2b2o2b2o13b2o
8b4obo3bobob2o$45b2ob2o$5b2o21b2o8b2ob5obobo$5b2o21b2o8b2ob2o
3b3o$45b2o$5b2o2b2o2b2o13b2o15b2o$5b2o2b2o2b2o13b2o10$42b2o2b
2ob2o2b2o$38b2o2b2o2b2ob2o2b2o2b2o$7b2o2b2o2b2o5b2o14b2o4b2ob
obob2o4b2o$7b2o2b2o2b2o5b2o16b5ob2ob2ob5o$40bobo4bobo4bobo$7b
2o13b2o11b2ob3obob4ob4obob3ob2o$7b2o13b2o11b3ob6o2bobo2b6ob3o
$44b4ob4o$7b2o2b2o2b2o5b2o13b2ob2obobo5bobob2ob2o$7b2o2b2o2b2o
5b2o13b3ob2o11b2ob3o2$7b2o6b2o5b2o13b3ob2o11b2ob3o$7b2o6b2o5b
2o13b2ob2obobo5bobob2ob2o$44b4ob4o$7b2o2b2o2b2o5b2o11b3ob6o2b
obo2b6ob3o$7b2o2b2o2b2o5b2o11b2ob3obob4ob4obob3ob2o$40bobo4bo
bo4bobo$40b5ob2ob2ob5o$38b2o4b2obobob2o4b2o$38b2o2b2o2b2ob2o2b
2o2b2o$42b2o2b2ob2o2b2o12$39b2ob2o28b2ob2o$39b2ob2o28b2ob2o$40b
ob2ob2o2b2ob2o8b2ob2o2b2ob2obo$2o2b2o2b2o5b2o6b2o14b2o4b2o2b2o
b2o8b2ob2o2b2o4b2o$2o2b2o2b2o5b2o6b2o14b2o4b2ob2obobobob2obob
obob2ob2o4b2o$43b2o2bob4ob8ob4obo2b2o$2o13b2o6b2o18b2o2bobo2b
o3bo2bo3bo2bobo2b2o$2o13b2o6b2o17b2ob3o2b3o2bo4bo2b3o2b3ob2o$
42bobo2bo2bobobo6bobobo2bo2bobo$2o2b2o2b2o5b2o2b2o2b2o18b2obo
bo4b3o4b3o4bobob2o$2o2b2o2b2o5b2o2b2o2b2o17b2o28b2o$43b2obobo
4b3o4b3o4bobob2o$2o6b2o13b2o17bobo2bo2bobobo6bobobo2bo2bobo$2o
6b2o13b2o17b2ob3o2b3o2bo4bo2b3o2b3ob2o$43b2o2bobo2bo3bo2bo3bo
2bobo2b2o$2o2b2o2b2o13b2o18b2o2bob4ob8ob4obo2b2o$2o2b2o2b2o13b
2o14b2o4b2ob2obobobob2obobobob2ob2o4b2o$39b2o4b2o2b2ob2o8b2ob
2o2b2o4b2o$40bob2ob2o2b2ob2o8b2ob2o2b2ob2obo$39b2ob2o28b2ob2o
$39b2ob2o28b2ob2o!

Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: B3/S345

Post by Sphenocorona » September 20th, 2013, 2:54 pm

velcrorex wrote:These oscillators are fantastic. Are you both finding these by running the rule from a random configuration and seeing what oscillators remain in the growing 'stable' area? Or do you have other methods?
Yeah, this is mainly what I use. Whenever I try to use WLS anymore it just keeps trying the same things over and over again in the same small space. I only found one thing with that program, a large bulky c/3 ship that had an interesting back spark that was good at perturbing objects, but it would have needed to be shrunk to be useful.

I have seen that p4 and p6, but I didn't post them because I was more interested in large period or odd period oscillators. In addition, I found that the knightwick featured in the initial collection is excellent as a barrier, as no object can pass through the middle of it. However this does limit search space...

EDIT: Something discovered by hand, a common spaceship pulls a p14 oscillator cleanly and offsets its period or just offsets the period, or delete it:

Code: Select all

x = 30, y = 9, rule = B3/S345
2bobo7bobo10bobo$2bobo7bobo10bobo$2b3o7b3o10b3o$3bo9bo12bo2$bo3bo$b2ob
2o5b2ob2o7b3ob3o$b2ob2o5b2ob2o8b2ob2o$12bobo!
MORE EDITS: Here's a p54 oscillator resulting from combining a p6 with a p13 (note that 6*13 is 78, but the interaction offsets the p13's period):

Code: Select all

x = 15, y = 18, rule = B3/S345
5b2ob2o$5b2ob2o$6bobo$2ob4ob4ob2o$4obo3bob4o$3bobo3bobo$2bobo5bobo$2b
3o5b3o$2o2b2o3b2o2b2o$2o2bo5bo2b2o$bob4ob4obo$2o2b3ob3o2b2o$ob2o2bobo
2b2obo$b3ob2ob2ob3o$3bob2ob2obo$3b2o5b2o$b4o5b4o$b2o9b2o!
And here's another p3 oscillator:

Code: Select all

x = 10, y = 10, rule = B3/S345
2b2o2b2o$2b2o2b2o$2ob4ob2o$2obo2bob2o$2bo4bo$2bo4bo$2obo2bob2o$2ob4ob
2o$2b2o2b2o$2b2o2b2o!
Last edited by Sphenocorona on September 21st, 2013, 3:02 pm, edited 1 time in total.

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calcyman
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Re: B3/S345

Post by calcyman » September 21st, 2013, 6:31 am

note that 6*13 is 72
In which nonstandard model of arithmetic?
What do you do with ill crystallographers? Take them to the mono-clinic!

towerator
Posts: 328
Joined: September 2nd, 2013, 3:03 pm

Re: B3/S345

Post by towerator » September 21st, 2013, 9:52 am

yeah:
6*13 = 78
72 is 6*12
However, it doesn't prevent the oscillator to work.
This is game of life, this is game of life!
Loafin' ships eaten with a knife!

Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: B3/S345

Post by Sphenocorona » September 21st, 2013, 3:02 pm

Oops, that was a stupid mistake. I'll correct it.

Also, I found another p5 based off a common p6 and the generic p2:

Code: Select all

x = 11, y = 7, rule = B3/S345
b2o2b2ob2o$ob7obo$2o2bo2bob2o$b2o4bobo$2o2bo2bob2o$ob7obo$b2o2b2ob2o!
EDIT: I found a p24:

Code: Select all

x = 11, y = 15, rule = B3/S345
2o7b2o$4o3b4o$2b2o3b2o$2bo5bo$b3o3b3o$2bo5bo$2bo2bo2bo$b2o5b2o$2bo5bo$
2b7o$b2obobob2o$2b2o3b2o$b2o5b2o$2b2o3b2o$2b2o3b2o!
... and p5/p10:

Code: Select all

x = 30, y = 12, rule = B3/S345
19b2ob2o$19b2ob2o$5bo14bobo$3b5o5b2ob2o2bobo2b2ob2o$2bobobobo4b2ob5ob
5ob2o$bobo3bobo5bo4bobo4bo$b9o3b2ob2obo3bob2ob2o$2o7b2o2b2obob7obob2o$
ob7obo4b2o9b2o$b2o2bo2b2o5bob9obo$16b2o2bobo2b2o!

User avatar
Lewis
Posts: 337
Joined: March 17th, 2009, 5:26 pm
Location: UK
Contact:

Re: B3/S345

Post by Lewis » September 22nd, 2013, 4:48 am

P19, P32 and P41:

Code: Select all

x = 45, y = 78, rule = 345/3
22b2o10b2o$22b2o10b2o$23bob2ob2ob2obo$20b4ob2ob2ob2ob2o$20b2o
bo2bo2bob2ob2o$22b5ob3ob2o$4bo3bobobo9bo3bobobob2o$19b2ob2o3b
2o2bo$4bo3bo3bo6b4o2b2ob6o$22bo3b2ob2ob2o$4bo3bobobo6b2ob2ob2o
3bo$19b6ob2o2b4o$4bo7bo8bo2b2o3b2ob2o$19b2obobobo3bo$4bo3bobo
bo6b2ob3ob5o$17b2ob2obo2bo2bob2o$17b2ob2ob2ob2ob4o$18bob2ob2o
b2obo$17b2o10b2o$17b2o10b2o5$20b2o2b2ob2ob2ob2o2b2o$20b2o2b2o
b2ob2ob2o2b2o$21b3obob2ob2obob3o$21bo2b2o2bobo2b2o2bo$obobo3b
obobo7b5o2b2ob2o2b5o$20bo3b2ob2ob2ob2o3bo$4bo7bo4b2ob3ob4o3b4o
b3ob2o$17b2ob2o15b2ob2o$obobo3bobobo$17b2ob2o15b2ob2o$4bo3bo8b
2ob3ob4o3b4ob3ob2o$20bo3b2ob2ob2ob2o3bo$obobo3bobobo7b5o2b2ob
2o2b5o$21bo2b2o2bobo2b2o2bo$21b3obob2ob2obob3o$20b2o2b2ob2ob2o
b2o2b2o$20b2o2b2ob2ob2ob2o2b2o7$28b2ob2o$28b5o2$30b3o$20b2o8b
3o8b2o$20b2o19b2o$22b2ob2ob7ob2ob2o$22bob2ob2obobob2ob2obo$20b
2obobobob2ob2obobobob2o$20b2o2b2obo2bobo2bob2o2b2o$2bo3bo3bo10b
o4b3obobob3o4bo$21b6ob3ob3ob6o$2bo3bo3bo11bobobo2b2ob2o2bobob
o$22bo17bo$2bobobo3bo7b2ob3o15b3ob2o$18b2obo19bob2o$6bo3bo8bo
b3o15b3obo$18b2o2bo17bo2b2o$6bo3bo8bo2bobobo2b2ob2o2bobobo2bo
$18b2ob6ob3ob3ob6ob2o$18b2obo4b3obobob3o4bob2o$20b2o2b2obo2bo
bo2bob2o2b2o$20b2obobobob2ob2obobobob2o$22bob2ob2obobob2ob2ob
o$22b2ob2ob7ob2ob2o$20b2o19b2o$20b2o8b3o8b2o$30b3o2$30b5o$30b
2ob2o!
EDIT: Loads more, including periods 11, 17, 22, 24, 27, 31, 35, 37, 41, 43, 59, 83, 97, 107 and 109.

Code: Select all

x = 286, y = 168, rule = 345/3
24b2ob2o3b2ob2o$24b2ob2o3b2ob2o11b2o2b2o$27bo5bo14b2o2b2o3b2o
$27b2o3b2o15b2ob2ob4o$22b2o2b2obobob2o2b2o6b2o2bobo2b2obo67b2o
25b2o$22b5obo3bob5o6b10ob2o2b2o63b2o5b2o11b2o5b2o$8bo3bo10bob
ob2o3b2obobo8bobo3bo4b5o64bob2o2b2o11b2o2b2obo$22b2ob3o5b3ob2o
7b2o9bobo65b2ob5o13b5ob2o$8bo3bo9b5o7b5o8b2o8b2o66b2obo4bo2b2o
3b2o2bo4bob2o$44b3obo7b2ob3o65b2o2b3o2b2o3b2o2b3o2b2o$8bo3bo9b
5o7b5o5b3ob2o7bob3o65b2obobob3o5b3obobob2o$22b2ob3o5b3ob2o8b2o
8b2o71b2ob2ob2o3b2ob2ob2o$8bo3bo10bobob2o3b2obobo8bobo9b2o70b
obobobo5bobobobo$22b5obo3bob5o5b5o4bo3bobo71b4o9b4o$8bo3bo9b2o
2b2obobob2o2b2o5b2o2b2ob10o44bobobo3bobobo16b2o7b2o$27b2o3b2o
14bob2o2bobo2b2o70b2ob2o7b2ob2o109b2ob2ob2ob2ob2ob2o$27bo5bo13b
4ob2ob2o52bo3bo17b4o9b4o109b2ob2ob2ob2ob2ob2o$24b2ob2o3b2ob2o
10b2o3b2o2b2o196b2ob2ob2ob2ob2ob2ob2ob2o$24b2ob2o3b2ob2o15b2o
2b2o47bobobo3bobobo13b4o9b4o102b2o2b2ob2o4bobobo4b2ob2o2b2o$131b
2ob2o7b2ob2o102b5obob15obob5o$109bo7bo16b2o7b2o108bobob2obo3b
obo3bob2obobo$131b4o9b4o102b2ob2obobob2ob2ob2ob2obobob2ob2o$105b
obobo3bobobo12bobobobo5bobobobo101b4obob2obo3bobo3bob2obob4o$
130b2ob2ob2o3b2ob2ob2o104b5ob5o3b5ob5o$127b2obobob3o5b3obobob
2o96b5obo2bobo3b2ob2o3bobo2bob5o$127b2o2b3o2b2o3b2o2b3o2b2o96b
2o2bob3ob5obobob5ob3obo2b2o$125b2obo4bo2b2o3b2o2bo4bob2o72bob
obo3bobobo13bobobobobob2o3b2obobobobobo$125b2ob5o13b5ob2o97b2o
bo2b3obo7bob3o2bob2o$126bob2o2b2o11b2o2b2obo73bo3bo7bo12b7obo
11bob7o$125b2o5b2o11b2o5b2o$125b2o25b2o72bobobo3bobobo12b7obo
11bob7o$22b2o13b2o212b2obo2b3obo7bob3o2bob2o$22b2o13b2o187bo3b
o7bo13bobobobobob2o3b2obobobobobo$23bob2o7b2obo210b2o2bob3ob5o
bobob5ob3obo2b2o$19b2o2bob2o7b2obo2b2o184bobobo3bobobo9b5obo2b
obo3b2ob2o3bobo2bob5o$19b5ob2ob2ob2ob2ob5o211b5ob5o3b5ob5o$24b
o2b3ob3o2bo213b4obob2obo3bobo3bob2obob4o$21b6obo3bob6o96b2ob2o
b2ob2o103b2ob2obobob2ob2ob2ob2obobob2ob2o$21b3o2bob2ob2obo2b3o
96b2ob2ob2ob2o106bobob2obo3bobo3bob2obobo$24b3o2bobo2b3o68bob
obo3bobobo16b2obo2bobo2bob2o101b5obob15obob5o$3bo3bobobo7b6ob
o2bobo2bob6o88b2o2b2obo2bobo2bob2o2b2o97b2o2b2ob2o4bobobo4b2o
b2o2b2o$19b2obobob4ob4obobob2o67bo7bo12b2o3bob4ob4obo3b2o101b
2ob2ob2ob2ob2ob2ob2ob2o$3bo7bo11bo13bo94b4obo2bobo2bob4o106b2o
b2ob2ob2ob2ob2o$105bobobo7bo10b5obo2b4ob4o2bob5o102b2ob2ob2ob
2ob2ob2o$3bo7bo11bo13bo90b2obo2b4o2bobo2b4o2bob2o$19b2obobob4o
b4obobob2o67bo7bo12bob3o3bo5bo3b3obo$3bo7bo7b6obo2bobo2bob6o88b
obob4o7b4obobo$24b3o2bobo2b3o68bobobo7bo10b4o4b2o7b2o4b4o$3bo
7bo9b3o2bob2ob2obo2b3o84b2o2b2o23b2o2b2o$21b6obo3bob6o84b4o2b
2o4b2o7b2o4b2o2b4o$24bo2b3ob3o2bo90b2obobob4o7b4obobob2o$19b5o
b2ob2ob2ob2ob5o82b4o2bob3o3bo5bo3b3obo2b4o$19b2o2bob2o7b2obo2b
2o82b2o2b2obo2b4o2bobo2b4o2bob2o2b2o$23bob2o7b2obo90b5obo2b4o
b4o2bob5o$22b2o13b2o93b4obo2bobo2bob4o$22b2o13b2o91b2o3bob4ob
4obo3b2o$130b2o2b2obo2bobo2bob2o2b2o$134b2obo2bobo2bob2o115b2o
b2o$136b2ob2ob2ob2o117b2ob2o$136b2ob2ob2ob2o110b2o15b2o$257b4o
b9ob4o$259bob2o2bobo2b2obo$259b2ob4ob4ob2o$256b2obobo3bobo3bo
bob2o$255bob2ob2ob2o3b2ob2ob2obo$21b2o10b2o216b2o2b2ob3ob2o5b
2ob3ob2o2b2o$21b4ob2o2bo2b2o133b2ob2ob2o5b2ob2ob2o62b2o3b2obo
bobo5bobobob2o3b2o$3bobobo3bobobo6bob2ob7ob2o131b2ob2ob2o5b2o
b2ob2o63b4ob2ob2ob2o3b2ob2ob2ob4o$22b2obobobo3bob2o102b2obob2o
25b2obob2ob2obob2o66bobob2obobob2o3b2obobob2obobo$7bo7bo4b2ob
ob2o2bob3o105b7o22b2o3bob3ob3obo3b2o64bob2ob3obo7bob3ob2obo$20b
2obob2o3b2obob2o97b2o6bo6b2o15b4ob2obo2bobo2bob2ob4o38bobobo3b
obobo10b3o2bo3bo9bo3bo2b3o$3bobobo3bobobo7b3obo2b2obob2o97b2o
3b3ob3o3b2o15b2o2b2obob3ob3obob2o2b2o61bobob5o11b5obobo$20b2o
bo3bobobob2o100bob3obobob3obo17bo2bob2obobobobob2obo2bo39bo3b
o7bo7b2obobobo2b2o11b2o2bobobob2o$3bo7bo8b2ob7ob2obo94b2ob5ob
ob2ob2obob5ob2o10b4ob2obob2ob2obob2ob4o58b2ob4o21b4ob2o$22b2o
2bo2b2ob4o93b4obobobob2ob2obobobob4o11bo2bobobob2ob2obobobo2b
o39bobobo7bo10bo27bo$3bobobo3bobobo6b2o10b2o73bo3bo3bo16bob4o
bobob4obo15b2o2b6o5b6o2b2o58b2ob4o21b4ob2o$127b8obo3b2ob2o3bo
b8o8bob3o2bobo5bobo2b3obo42bo7bo7b2obobobo2b2o11b2o2bobobob2o
$109bo3bo3bo9b2obobo2b7ob7o2bobob2o9b2o6bo5bo6b2o62bobob5o11b
5obobo$129b2obobo2bob2o3b2obo2bobob2o73bobobo7bo10b3o2bo3bo9b
o3bo2b3o$109bobobo3bo11b5o17b5o97bob2ob3obo7bob3ob2obo$252bob
ob2obobob2o3b2obobob2obobo$113bo3bo11b5o17b5o96b4ob2ob2ob2o3b
2ob2ob2ob4o$129b2obobo2bob2o3b2obo2bobob2o95b2o3b2obobobo5bob
obob2o3b2o$113bo3bo9b2obobo2b7ob7o2bobob2o9b2o6bo5bo6b2o61b2o
2b2ob3ob2o5b2ob3ob2o2b2o$127b8obo3b2ob2o3bob8o8bob3o2bobo5bob
o2b3obo64bob2ob2ob2o3b2ob2ob2obo$134bob4obobob4obo15b2o2b6o5b
6o2b2o65b2obobo3bobo3bobob2o$129b4obobobob2ob2obobobob4o11bo2b
obobob2ob2obobobo2bo69b2ob4ob4ob2o$129b2ob5obob2ob2obob5ob2o10b
4ob2obob2ob2obob2ob4o68bob2o2bobo2b2obo$135bob3obobob3obo17bo
2bob2obobobobob2obo2bo67b4ob9ob4o$20b2ob2ob2ob2o7b2ob2ob2ob2o
85b2o3b3ob3o3b2o15b2o2b2obob3ob3obob2o2b2o66b2o15b2o$20b2ob2o
b2ob2o7b2ob2ob2ob2o85b2o6bo6b2o15b4ob2obo2bobo2bob2ob4o73b2ob
2o$21bo3bo2bobob2ob2obobo2bo3bo91b7o22b2o3bob3ob3obo3b2o75b2o
b2o$21bob2ob3ob4ob4ob3ob2obo91b2obob2o25b2obob2ob2obob2o$20b2o
b2obo2b2o7b2o2bob2ob2o119b2ob2ob2o5b2ob2ob2o$20b2ob2ob3o2b2o3b
2o2b3ob2ob2o119b2ob2ob2o5b2ob2ob2o$obobo3bo3bo10bob2o2b3o5b3o
2b2obo$23bobob3obo5bob3obobo$4bo3bo3bo9b2obobo2bo7bo2bobob2o$
22b9o7b9o$obobo3bobobo$22b9o7b9o$o11bo9b2obobo2bo7bo2bobob2o213b
2ob2ob2ob2o$23bobob3obo5bob3obobo85b2o2b2o9b2o2b2o108b2ob2ob2o
b2o$obobo7bo10bob2o2b3o5b3o2b2obo85b2o2b2o9b2o2b2o106b2obo2bo
bo2bob2o$20b2ob2ob3o2b2o3b2o2b3ob2ob2o80b2ob3ob2ob2ob2ob2ob3o
b2o104b2ob4ob4ob2o$20b2ob2obo2b2o7b2o2bob2ob2o79bobobo2bobob2o
b2obobo2bobobo102b2o2bo2bobo2bo2b2o$21bob2ob3ob4ob4ob3ob2obo80b
2ob5obobo3bobob5ob2o102b2ob5ob5ob2o$21bo3bo2bobob2ob2obobo2bo
3bo78b2o2bob2o2b2ob2ob2ob2o2b2obo2b2o98b2ob3o3bobo3b3ob2o$20b
2ob2ob2ob2o7b2ob2ob2ob2o77b6o3b2obobobobob2o3b6o98b2obo2b4ob4o
2bob2o$20b2ob2ob2ob2o7b2ob2ob2ob2o79bob2o4bob3ob3obo4b2obo98b
2o3b4ob2ob2ob4o3b2o$128bobo4b3obo3bob3o4bobo71bo3bobobo3bobob
o10b5obobobo3bobobob5o$126b2ob2obobobo9bobobob2ob2o94b2o4bo3b
ob2ob2obo3bo4b2o$105bo3bo3bobobo8b3o2b5ob3obob3ob5o2b3o69bo3b
o3bo7bo8b2ob2obo3bo2bobo2bo3bob2ob2o$128b4o2bobobob3obobobo2b
4o97bob2ob2o2b4ob4o2b2ob2obo$105bo3bo7bo14b2o2b2ob5ob2o2b2o75b
o3bo3bo7bo8b2o4bo15bo4b2o$128b4ob2obobo5bobob2ob4o97bob2ob2o2b
4ob4o2b2ob2obo$105bobobo3bobobo10b2ob3o3b2o5b2o3b3ob2o71bo3bo
3bo7bo8b2ob2obo3bo2bobo2bo3bob2ob2o$136b3o5b3o104b2o4bo3bob2o
b2obo3bo4b2o$109bo7bo10b2ob3o3b2o5b2o3b3ob2o71bo3bobobo7bo10b
5obobobo3bobobob5o$28b2ob2ob2ob2o17b2o7b2o61b4ob2obobo5bobob2o
b4o98b2o3b4ob2ob2ob4o3b2o$28b2ob2ob2ob2o17b2o7b2o42bo3bobobo14b
2o2b2ob5ob2o2b2o104b2obo2b4ob4o2bob2o$29bo2bobo2bo15b2ob2ob2o
b2ob2ob2o58b4o2bobobob3obobobo2b4o100b2ob3o3bobo3b3ob2o$23b2o
bo2b4ob4o2bob2o9b2o2bob2ob2obo2b2o56b3o2b5ob3obob3ob5o2b3o100b
2ob5ob5ob2o$23b6o3bobo3b6o10b4o2bobo2b4o57b2ob2obobobo9bobobo
b2ob2o100b2o2bo2bobo2bo2b2o$28b4o3b4o11b2o2bobob2o3b2obobo2b2o
55bobo4b3obo3bob3o4bobo103b2ob4ob4ob2o$23b3ob2obo5bob2ob3o6b6o
2bo5bo2b6o55bob2o4bob3ob3obo4b2obo103b2obo2bobo2bob2o$bobobo3b
obobo9b2ob2o2b3ob3o2b2ob2o12b2o7b2o59b6o3b2obobobobob2o3b6o103b
2ob2ob2ob2o$26bob2ob2ob2ob2obo11b5o2bo3bo2b5o55b2o2bob2o2b2ob
2ob2ob2o2b2obo2b2o103b2ob2ob2ob2o$5bo7bo9b2obobob3ob3obobob2o
8b2o2b5ob5o2b2o57b2ob5obobo3bobob5ob2o$23b5o11b5o12b2ob2ob2ob
2o61bobobo2bobob2ob2obobo2bobobo$bobobo7bo115b2ob3ob2ob2ob2ob
2ob3ob2o$23b5o11b5o12b2ob2ob2ob2o64b2o2b2o9b2o2b2o$bo11bo9b2o
bobob3ob3obobob2o8b2o2b5ob5o2b2o60b2o2b2o9b2o2b2o$26bob2ob2ob
2ob2obo11b5o2bo3bo2b5o$bobobo7bo9b2ob2o2b3ob3o2b2ob2o12b2o7b2o
$23b3ob2obo5bob2ob3o6b6o2bo5bo2b6o$28b4o3b4o11b2o2bobob2o3b2o
bobo2b2o$23b6o3bobo3b6o10b4o2bobo2b4o$23b2obo2b4ob4o2bob2o9b2o
2bob2ob2obo2b2o$29bo2bobo2bo15b2ob2ob2ob2ob2ob2o186b2ob2o16b2o
b2o$28b2ob2ob2ob2o17b2o7b2o189b2ob2o6b2o8b2ob2o$28b2ob2ob2ob2o
17b2o7b2o62b2o20b2o99b2ob2o2bo5b4o2b2o5bo2b2ob2o$129b2o20b2o99b
2ob2o2bo5b2o4b2o5bo2b2ob2o$131b2obobob2o2b2obobob2o104bob2ob2o
b2o2b4o2b2ob2ob2obo$131bob5ob4ob5obo104bobobob3ob3o2b3ob3obob
obo$130b2obobobobo2bobobobob2o74bo3bobobo3bobobo11b3ob3o4bobo
2bobo4b3ob3o$130b4obo2b2o2b2o2bob4o102bo2bo2b6ob4ob6o2bo2bo$132b
ob5ob2ob5obo76bo3bo3bo3bo3bo9b3o2bobo2bo3bob2obo3bo2bobo2b3o$
110bobobo3bobobo10bo2bo3b2o3bo2bo103b2ob3o7b8o7b3ob2o$226bo3b
o3bo3bobobo11b2o26b2o$110bo7bo3bo129b2ob3o7b8o7b3ob2o$25b2o7b
2o190bo3bo3bo7bo9b3o2bobo2bo3bob2obo3bo2bobo2b3o$25b2o2bobo2b
2o74bobobo3bobobo131bo2bo2b6ob4ob6o2bo2bo$26b9o191bo3bobobo3b
obobo11b3ob3o4bobo2bobo4b3ob3o$22b2o2bo3bo3bo2b2o75bo7bo10bo2b
o3b2o3bo2bo106bobobob3ob3o2b3ob3obobobo$3bobobo5bo8b5o7b5o93b
ob5ob2ob5obo105bob2ob2ob2o2b4o2b2ob2ob2obo$110bobobo3bobobo7b
4obo2b2o2b2o2bob4o100b2ob2o2bo5b2o4b2o5bo2b2ob2o$7bo5bo10b2o9b
2o93b2obobobobo2bobobobob2o100b2ob2o2bo5b2o2b4o5bo2b2ob2o$24b
2o9b2o94bob5ob4ob5obo105b2ob2o8b2o6b2ob2o$3bobobo5bo117b2obob
ob2o2b2obobob2o105b2ob2o16b2ob2o$24b2o9b2o92b2o20b2o$7bo5bo10b
2o9b2o92b2o20b2o2$3bobobo5bo8b5o7b5o$22b2o2bo3bo3bo2b2o$26b9o
$25b2o2bobo2b2o$25b2o7b2o!

User avatar
Extrementhusiast
Posts: 1966
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: B3/S345

Post by Extrementhusiast » September 22nd, 2013, 1:28 pm

Asymmetric p19:

Code: Select all

x = 18, y = 22, rule = B3/S345
12b2o$10b4o$10b2o$11bo$5b2o4b2o$5b2o2b2obo$7b4ob2o$7bo2b3o2b2o$8b3o2b
3obo$7b2ob3obob2o$2o4bobo3bob3o$4obob2o4bo2bo$3b2obobo5b2o$4obob2ob4ob
2o$2o4bobobo2bob2o$7b2ob4obo$6b2obobobobo$7b4obob3o$6b2o2b2o2bobo$6b2o
6b2o$15b2o$15b2o!
I Like My Heisenburps! (and others)

User avatar
Lewis
Posts: 337
Joined: March 17th, 2009, 5:26 pm
Location: UK
Contact:

Re: B3/S345

Post by Lewis » September 23rd, 2013, 2:11 am

p79:

Code: Select all

x = 32, y = 19, rule = 345/3
2ob2o3b2o2b2o4b2o2b2o3b2ob2o$2ob2o3b2o2b2o4b2o2b2o3b2ob2o$3b2o
b2o2b2ob2o2b2ob2o2b2ob2o$3bo2b2obobob2o2b2obobob2o2bo$2ob3o3b
4ob4ob4o3b3ob2o$3o2b5o2bobo2bobo2b5o2b3o$4bo2bob4o2b2o2b4obo2b
o$2ob5obo2bob4obo2bob5ob2o$4ob4obobo6bobob4ob4o2$4ob4obobo6bo
bob4ob4o$2ob5obo2bob4obo2bob5ob2o$4bo2bob4o2b2o2b4obo2bo$3o2b
5o2bobo2bobo2b5o2b3o$2ob3o3b4ob4ob4o3b3ob2o$3bo2b2obobob2o2b2o
bobob2o2bo$3b2ob2o2b2ob2o2b2ob2o2b2ob2o$2ob2o3b2o2b2o4b2o2b2o
3b2ob2o$2ob2o3b2o2b2o4b2o2b2o3b2ob2o!
And another one:

Code: Select all

x = 29, y = 25, rule = 345/3
8b2o2b2ob2o2b2o$2b2o4b2o2b2ob2o2b2o4b2o$2b2o2b2o2b3o3b3o2b2o2b
2o$b2ob4o2bob2ob2obo2b4ob2o$b2obobob3ob2ob2ob3obobob2o$2bob2o
b2obo2bobo2bob2ob2obo$2b3obob2ob3ob3ob2obob3o$2obob4obo2bobo2b
ob4obob2o$3ob2o2bobob2ob2obobo2b2ob3o$3bob4ob2obobob2ob4obo$2b
2obobobo2bo3bo2bobobob2o$2b3o4bo2bo3bo2bo4b3o2$2b3o4bo2bo3bo2b
o4b3o$2b2obobobo2bo3bo2bobobob2o$3bob4ob2obobob2ob4obo$3ob2o2b
obob2ob2obobo2b2ob3o$2obob4obo2bobo2bob4obob2o$2b3obob2ob3ob3o
b2obob3o$2bob2ob2obo2bobo2bob2ob2obo$b2obobob3ob2ob2ob3obobob
2o$b2ob4o2bob2ob2obo2b4ob2o$2b2o2b2o2b3o3b3o2b2o2b2o$2b2o4b2o
2b2ob2o2b2o4b2o$8b2o2b2ob2o2b2o!

User avatar
velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: B3/S345

Post by velcrorex » September 23rd, 2013, 6:56 pm

Here are some more 2c/7 ships:

Code: Select all

x = 96, y = 120, rule = B3/S345
83boo4boo$82boobobboboo$83bobobbobo$82boob4oboo$83b8o$82boo6boo$83boo
4boo$83boo4boo3$85b4o$84boboobo$84boboobo$83boobooboo$83boobooboo$86b
oo$84bo4bo$82bobo4bobo$83bo6bo$81boboo4boobo$80b5o4b5o$84boobboo$80b6o
bb6o$80bobbob4obobbo$81b5obb5o$61boo17boo10boo$60b4o17b12o$81bobbo4bo
bbo$58b8o15b3o6b3o$59bo4bo18b8o$60b4o20boobboo$59boobboo20bobbo$60b4o
21b4o$58boo4boo20boo$59boboobo19boboobo$32boo4boo19b6o18b3obb3o$31boob
obboboo20boo19boobboobboo$32bobobbobo42b10o$31boob4oboo18bo4bo$32b8o
18b3obb3o15boo8boo$31boo6boo17boo4boo14boobb6obboo$3bo10bo17boo4boo19b
oobboo14bobbo8bobbo$bboo10boo16boo4boo18boo4boo13bobbo8bobbo$3bobo6bob
o41bobbo4bobbo11booboo6booboo$3bob3obb3obo20boo19boboo4boobo12bob3o4b
3obo$3b3o6b3o20boo17boo3boboobo3boo10boboo6boobo$5b3obb3o21bobbo18bob
3obb3obo11bobob8obobo$4boob4oboo21boo19bobboboobobbo17bobbo$bbobb8obbo
18bobbo20boo4boo15boob6oboo$bb4o6b4o17boobboo18boobboobboo12b3o3bobbo
3b3o$bbo12bo16bobobbobo18b8o14boobobobboboboo$boobo8boboo16boobboo19bo
6bo14b3ob6ob3o$bb3o8b3o14b4o4b4o17b6o$booboboobbooboboo16boobboo21bobb
o20b6o$3boobo4boboo15boobo4boboo15bobb4obbo18bobbo$4boboobboobo17boboo
bboobo16boobobboboo14boobo4boboo$3boobo4boboo15boobo4boboo14b5obb5o12b
oboboobboobobo$4bob6obo17bob6obo17bobobbobo15boobo4boboo$3booboboobob
oo15boobobooboboo18b4o15boob10oboo$3b12o15b12o19boo21boboobo$3bobbo4bo
bbo15bobbo4bobbo13bo5boo5bo11bobboo4boobbo$3b3o6b3o15b3o6b3o11b3o5boo
5b3o9booboo4booboo$4b3o4b3o17b3o4b3o12boobb3oboob3obboo11boo6boo$8boo
25boo17b5o6b5o15b4o$5bo6bo19bo6bo13bo4bobobbobo4bo$6boboobo21boboobo
15b3obob4obob3o14b6o$7b4o23b4o17boobobobboboboo16bobbo$4boobobboboo17b
oobobboboo14bobbob4obobbo16b4o$7b4o23b4o19boobobboboo15boobobboboo$4b
oobobboboo17boobobboboo16boob4oboo14b3ob4ob3o$4boob4oboo17boob4oboo17b
3obb3o$6bo4bo21bo4bo21bobbo22boo$6boboobo21boboobo20bo4bo20b4o$4bobb4o
bbo17bobb4obbo18bo4bo19boobboo$3bobobobbobobo15bobobobbobobo18b4o18bo
bb4obbo$6ob4ob6o9b6ob4ob6o11bob3obb3obo13bo3bobbo3bo$bobobobobbobobobo
11bobobobobbobobobo9b6ob4ob6o7b5obb4obb5o$3obb3obb3obb3o9b3obb3obb3obb
3o9bo3bobobbobo3bo9bo3b3obb3o3bo$bo5bobbo5bo11bo5bobbo5bo9boobboboobb
oobobboo7booboobo4bobooboo$oobb3o4b3obboo9boobb3o4b3obboo9bobobbo4bobb
obo9bob3o6b3obo$b3o10b3o11b3o10b3o9booboboo4booboboo7booboo8booboo$bob
oboo4boobobo11boboboo4boobobo11boo10boo11boob3obb3oboo$bboobbo4bobboo
13boobbo4bobboo11bobobo6bobobo11boboo4boobo$3boboo4boobo15boboo4boobo
13boobo6boboo11boobobobboboboo$b3obo6bob3o11b3obo6bob3o12boboo4boobo
10bobboboo4boobobbo$3boboo4boobo15boboo4boobo12boobbo6bobboo9b3obo6bob
3o$4obo6bob4o9b4obo6bob4o11boboo4boobo11bo3boo4boo3bo$boboboo4boobobo
11boboboo4boobobo9b3oboo6boob3o7boo3bo6bo3boo$oob3obobbob3oboo9boob3ob
obbob3oboo9bo3boo4boo3bo9bo3boo4boo3bo$boboboo4boobobo11boboboo4boobob
o9boobboo6boobboo7boob3obboobb3oboo$oob3o6b3oboo9boob3o6b3oboo9bobob3o
bb3obobo9b3ob8ob3o$boobb8obboo11boobb8obboo9boob3ob4ob3oboo7booboobb4o
bbooboo$oobboob4oboobboo9boobboob4oboobboo9boobb8obboo9boo12boo$b6oboo
b6o11b6oboob6o9boobboo6boobboo7boobboo6boobboo$oobboo6boobboo9boobboo
6boobboo9b5o6b5o9b4o8b4o$b3obo6bob3o11b3obo6bob3o9boobbo8bobboo7booboo
8booboo$boboo8boobo11boboo8boobo10b3obbo4bobb3o10boo10boo$b3o10b3o11b
3o10b3o10bob4o4b4obo9bob4oboob4obo$3boo8boo15boo8boo13boo10boo11booboo
4booboo$b3o4boo4b3o11b3o4boo4b3o12boboo4boobo13bobobboobbobo$bboobob4o
boboo13boobob4oboboo11boobo3boo3boboo9boobo8boboo$boo3bo4bo3boo11boo3b
o4bo3boo11bo4b4o4bo11b14o$bboob8oboo13boob8oboo11boobobbobbobboboo9boo
b4obb4oboo$boo4b4o4boo11boo4b4o4boo11boobobboobboboo11boobbo4bobboo$bb
oo10boo13boo10boo11boobobbobbobboboo9boo5boo5boo$boo12boo11boo12boo11b
oo4boo4boo11boo4boo4boo$bboo3b4o3boo13boo3b4o3boo11boo12boo9boo12boo$b
oo4bobbo4boo11boo4bobbo4boo11boo4boo4boo11boo3b4o3boo$bboo3b4o3boo13b
oo3b4o3boo11boo5boo5boo9boo5boo5boo$bbo12bo13bo12bo12boo4boo4boo11boo
10boo$bboo10boo13boo10boo12bo12bo11bo12bo$3obo8bob3o9b3obo8bob3o8b3o
12b3o7b4obboboobobb4o$3obbobboobbobb3o9b3obbobboobbobb3o8b3obb3obb3obb
3o7boo4boobboo4boo$5b8o19b8o18bo6bo15b3ob4ob3o$5bo6bo19bo6bo18b8o16boo
bboobboo$4boboboobobo17boboboobobo16boob4oboo14boo8boo$3boo8boo15boo8b
oo14bobo6bobo$3boo8boo15boo8boo37boobboo4boobboo$3boo8boo15boo8boo13b
4o6b4o12boo8boo$3boo8boo15boo8boo14boo8boo13boo8boo!
-Josh Ball.

Naszvadi
Posts: 1244
Joined: May 7th, 2016, 8:53 am
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Re: B3/S345

Post by Naszvadi » February 5th, 2017, 6:09 pm

Sphenocorona wrote:Natural billiard tables of odd or otherwise uncommon periods (the rotors are natural at least...):

Code: Select all

x = 96, y = 54, rule = B3/S345
19bo28bo33bo2$6bobobo7bo11bobobo12bo12bobobo16bo6bobobo2$10bo8bo10bo
17bo15bo17bo5bo3bo2$6bobobo7bo11bobobo12bo14bobo16bo6bobobo2$10bo8bo
14bo13bo15bo17bo9bo2$6bobobo7bo11bobobo12bo16bo16bo10bo7$7b2ob2o$3b2o
2b2ob2o10b2ob2o$3b2o5bo11b5o40b2ob2ob2o$2b2ob4ob2o15b2o7b2ob2o2b2o5b2o
7b2o6b2ob2ob2o19b2o$2b2obobob3o12b5o2b2o3b2ob2o2b2o5b2o2bobo2b2o7bo2bo
2bob2o9b2ob2o2b2o$5bo2b2o14b2obob4o7b4ob2o5b7o8b2ob5ob2o9b2ob4o$6o4b2o
17bo6b2obo4b3o5bo5bo4b2o2b3obo3bo13bobobo$2o2b4ob3o12b2o3bob2o3b2ob2o
2bobo7bo3bob2o2b4o2bob2ob6o9bo3b2o$6bo3bo13b2ob6o4bobo3b3o6b2obobob2o
5bo2b2o5bob2o8b2o3b2o$6b2o2b2o13bobo9bo2b2o3b3o5bo2b3o4b2ob3ob4ob2o11b
obo2bo$3b2obo2b3o12b2ob6o3b2ob2ob3ob2o4b3o2bob2o2b4obobobo3b6o5b2o2bob
2o$3b6o15b3ob2ob2o3b2ob2ob2o8b2ob3ob2o6b2obob4ob2ob2o5bob4obo$9b5o30b
6o4b2ob2o6b2o2b2o2b2o13b2o2b2o$5b2o2b2ob2o10b11o9b2o2b2o4b2ob2o6b2o2b
3o4b6o$5b2o17b2ob2ob2ob2o31b2obo2b6o2b2o$66b2o2b3ob2o$68b2o$68b2ob2ob
2o$69bob2ob2o$68b2o$68b2o4$44b2ob2ob2o$44b2ob2ob2o$41b2obo15bobobo$41b
2ob2ob2ob2o$44b2ob2ob2o8bo3bo$41b3o2bo2bo$41b2ob5ob2o8bobobo$43b2o3bob
2o$43bob5o10bo3bo$42b2obobobo$43bo5b2ob2o6bobobo$42b2obobo2b4o$42bob6o
bo!
I've declined to add p2, p4 and p6 oscillators.
The pattern at the bottom explodes. Maybe a typo?

User avatar
BlinkerSpawn
Posts: 1992
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: B3/S345

Post by BlinkerSpawn » April 28th, 2017, 10:23 pm

(Advanced apologies for bump)
So I stumbled upon this thread and looked through and decided to take up the task of piecing together all these scattered oscillators and reducing as many as possible.
Lots of these higher-period oscillators had major reduction potential, almost to the point of unrecognizability.
The biggest reduction was over 300 cells from this quadrimer to its current monomer form (second p13)
The collection (last updated 23 Jul 2017):

Code: Select all

x = 958, y = 586, rule = B3/S345
458b2ob2o470b2obobobob2o$458b2ob2o469bob9obo$388b2ob2o25b2o2b2ob2o2b2o
24b2ob2ob2ob2o101b2ob2o360b2o3bobo3b2o$384b2o2b2ob2o2b2o21b2o2b2ob2o2b
2o24b2o2bobo2b2o101b2ob2o361b2o7b2o$384b4obobob4o23b2obobob2o28b3ob3o
101b2obobob2o359bo9bo$386bob2ob2obo25bob2ob2obo28bobobobo99b3ob2ob2ob
3o353b2ob6ob6ob2o$8bobo169bobobo3bobo169bo3bo3bobo15bo2bobo2bo17b2o3b
2obob2ob2obob2o3b2o18b2ob2ob2ob2o74bobobo3bobo12b2o3bobo3b2o144bobobo
3bobo161bobo5bobobo3bobobo16b2obo4bobo4bob2o$180bobobo3bobo169bo3bo3bo
bo7b2ob2o2b3obobob3o2b2ob2o9b2o2bob4obobob4obo2b2o17bobob2ob2obobo73bo
bobo3bobo10b2o2b4ob4o2b2o142bobobo3bobo196b2obob4obobob4obob2o$10bo
173bo5bo20bo148bo3bo5bo7b3ob4ob3ob3ob4ob3o11b3obo3b2ob2o3bob3o13b2o2b
6o5b6o2b2o67bo9bo10b5o2bobo2b5o142bo3bo5bo163bo5bo3bo7bo14b7ob3ob3ob7o
$184bo5bo19b3o147bo3bo5bo10bobobo2b2ob2o2bobobo14bo2b7ob7o2bo13b5o2bob
o5bobo2b5o67bo9bo14b4ob4o146bo3bo5bo$10bo169bobobo5bo18bobobo146bobobo
5bo9b2o17b2o10b2obobo2bob2o3b2obo2bobob2o12bo6bo5bo6bo69bobobo5bo10b2o
bobo5bobob2o142bobobo5bo163bo5bo3bo7bo14b7ob3ob3ob7o$180bobobo5bo17b3o
b3o145bobobo5bo9b3o15b3o10b5o17b5o102bobobo5bo10b3o11b3o142bobobo5bo
196b2obob4obobob4obob2o$10bo169bo9bo18bobobo150bo5bo169bo3bo5bo169bo3b
o5bo163bo5bo3bo7bo16b2obo4bobo4bob2o$180bo9bo19b3o151bo5bo9b3o15b3o10b
5o17b5o102bo3bo5bo10b3o11b3o142bo3bo5bo198b2ob6ob6ob2o$8bobobo167bobob
o3bobobo18bo152bo3bobobo7b2o17b2o10b2obobo2bob2o3b2obo2bobob2o102bobob
o3bobobo8b2obobo5bobob2o142bobobo3bobobo159bobobo3bobobo7bo20bo9bo$
180bobobo3bobobo171bo3bobobo8bobobo2b2ob2o2bobobo14bo2b7ob7o2bo105bobo
bo3bobobo12b4ob4o146bobobo3bobobo200b2o7b2o$378b3ob4ob3ob3ob4ob3o11b3o
bo3b2ob2o3bob3o15bo6bo5bo6bo90b5o2bobo2b5o354b2o3bobo3b2o$378b2ob2o2b
3obobob3o2b2ob2o9b2o2bob4obobob4obo2b2o11b5o2bobo5bobo2b5o88b2o2b4ob4o
2b2o354bob9obo$386bo2bobo2bo17b2o3b2obob2ob2obob2o3b2o11b2o2b6o5b6o2b
2o90b2o3bobo3b2o357b2obobobob2o$386bob2ob2obo25bob2ob2obo25bobob2ob2ob
obo96b3ob2ob2ob3o$384b4obobob4o23b2obobob2o26b2ob2ob2ob2o99b2obobob2o$
384b2o2b2ob2o2b2o21b2o2b2ob2o2b2o26bobobobo103b2ob2o$388b2ob2o25b2o2b
2ob2o2b2o26b3ob3o103b2ob2o$455b2o2bobo2b2o$455b2ob2ob2ob2o$458b2ob2o$
458b2ob2o8$937b2o2b2o2b2o$204b2ob2o2bo2b2o721b2o2b2o2b2o$8bobobo167bob
obo3bobobo10bob2ob8o144bo3bo3bobobo167bobobo3bobobo167bobobo3bobobo
159bobo5bobobo3bobobo15b2ob2o5b3o2b3o5b2ob2o$180bobobo3bobobo10b2obobo
bo3bo145bo3bo3bobobo167bobobo3bobobo167bobobo3bobobo195b2ob2o2bo2bobo
2bobo2bo2b2ob2o$12bo171bo7bo11bob2o2bob3o145bo3bo7bo167bo11bo167bo3bo
7bo161bo5bo3bo3bo3bo17bo2b6ob4ob6o2bo$184bo7bo10b2ob2o3b2ob2o144bo3bo
7bo167bo11bo167bo3bo7bo193b3obobo2bo3bob2obo3bo2bobob3o$8bobobo167bobo
bo3bobobo11b3obo2b2obo145bobobo3bobobo167bobobo3bobobo16b2o5b2o142bobo
bo3bobobo161bo5bo3bo3bobobo13b5o7b8o7b5o$180bobobo3bobobo11bo3bobobob
2o144bobobo3bobobo167bobobo3bobobo16b2o5b2o142bobobo3bobobo$8bo171bo7b
o14b8ob2obo148bo3bo171bo3bo3bo20bob2ob2obo142bo3bo3bo165bo5bo3bo7bo13b
5o7b8o7b5o$180bo7bo14b2o2bo2b2ob2o149bo3bo171bo3bo3bo22b2ob2o144bo3bo
3bo197b3obobo2bo3bob2obo3bo2bobob3o$8bobobo167bobobo3bobobo171bo3bobob
o167bobobo3bobobo167bobobo3bobobo159bobobo3bobobo3bobobo17bo2b6ob4ob6o
2bo$180bobobo3bobobo171bo3bobobo167bobobo3bobobo167bobobo3bobobo195b2o
b2o2bo2bobo2bobo2bo2b2ob2o$928b2ob2o5b3o2b3o5b2ob2o$937b2o2b2o2b2o$
937b2o2b2o2b2o4$244b2o5b2o$244b2o5b2o$245b2o3b2o$245bo5bo$244b2o5b2o$
244bobo3bobo141b2ob2ob2ob2o$203b2o13b2o23b4o3b4o140b2ob2ob2ob2o$202bob
4o7b4obo22bob2o3b2obo141bobo3bobo343b2o2bobobo2b2o$202b2obo11bob2o21b
2o2bo3bo2b2o139b2ob2ob2ob2o342b13o$203b2ob3o5b3ob2o23bobo5bobo140bobob
obobobo343bo3bobo3bo$203bobo2b2o3b2o2bobo20bo2b2o7b2o2bo136b2ob3ob3ob
2o342b2ob2ob2ob2o$203bobo2b2o3b2o2bobo18b5obob2ob2obob5o24b2ob2o106b2o
bo3bob2o336b2o2b2obo3bobo3bob2o2b2o$205b3o7b3o14b2o2b3o3b2ob2o3b2ob2o
3b3o2b2o18b2ob2o103bo2bo9bo2bo333b5ob5o3b5ob5o$206b2o7b2o15b5ob2obo2bo
7bo2bob2ob5o14b2ob2o3b2ob2o94b2ob5ob3obob3ob5ob2o329bo2bobo3b2ob2o3bob
o2bo$8bobobo33b2o2b2o16b2o10b2o98bobobo3bobobo41bo2b4o2b2o7b2o2b4o2bo
16b3ob2ob2ob3o68bo3bo3bobobo13b4o2bobobob3obobobo2b4o127bobobo3bobobo
167bobobo3bobobo9b3ob5obobob5ob3o127bobo5bobobo3bobobo$19b2ob2ob2o7b2o
2b2o6b2o2b2o12b2o2b2o10b2o98bobobo3bobobo50bo9bo23b2o2bo2bobo2bo2b2o
66bo3bo3bobobo17b2o2b2ob5ob2o2b2o131bobobo3bobobo167bobobo3bobobo6b2ob
obobobob2o3b2obobobobob2o$12bo5bob6obo6b5obo3b2ob4ob2o10b5o9b2ob2o101b
o7bo84b2obob2o3b2obob2o66bo3bo7bo13b4ob2obobo5bobob2ob4o127bo11bo167bo
3bo7bo6b2obo2b3obo7bob3o2bob2o126bo9bo3bo$18b2obo2bob2o4b2obobob2o3b2o
bo2bob2o8b2obo2bo9b2obo102bo7bo13b2o7b2o26bo9bo24b6o3b6o67bo3bo7bo13b
2ob3o3b2o5b2o3b3ob2o127bo11bo167bo3bo7bo7b6obo11bob6o161b2ob2ob2ob2o$
8bobobo6bobo2bobo5b2o5bo6bo4bo9bobo5b2o4b2obo2b2o97bobobo3bobobo12b3o
7b3o16bo2b4o2b2o7b2o2b4o2bo14b2o13b2o66bobobo3bobobo21b3o5b3o135bobobo
3bobobo167bobobo3bobobo6b2o25b2o126bo5bobobo3bobobo15b2ob2ob2ob2o$18b
2obo2bob2o5bo5bo6bo4bo9b2o2bobob2o4b5o3bo96bobobo3bobobo10bobo2b2o3b2o
2bobo12b5ob2obo2bo7bo2bob2ob5o13b6o3b6o67bobobo3bobobo13b2ob3o3b2o5b2o
3b3ob2o127bobobo3bobobo167bobobo3bobobo7b6obo11bob6o162bo7bo$12bo5b2ob
o2bob2o4b9o3b2obo2bob2o6b2o3b4o13b2o96bo11bo10bobo2b2o3b2o2bobo12b2o2b
3o3b2ob2o3b2ob2o3b3o2b2o12b2obob2o3b2obob2o70bo7bo13b4ob2obobo5bobob2o
b4o127bo3bo7bo167bo3bo7bo6b2obo2b3obo7bob3o2bob2o126bo5bo7bo3bo$20b6o
6b2o5b2o3b2ob4ob2o6bob3obo2b2o4b6obo97bo11bo10b2ob3o5b3ob2o18b5obob2ob
2obob5o18b2o2bo2bobo2bo2b2o70bo7bo17b2o2b2ob5ob2o2b2o131bo3bo7bo167bo
3bo7bo6b2obobobobob2o3b2obobobobob2o$8bobobo7b2o2b2o8b5o7b2o2b2o9b2ob
2o3b2o4b2o2b2obo97bobobo3bobobo9b2obo11bob2o19bo2b2o7b2o2bo22b3ob2ob2o
b3o72bo3bobobo13b4o2bobobob3obobobo2b4o127bobobo3bobobo167bobobo3bobob
o9b3ob5obobob5ob3o127bobobo3bobobo3bobobo$34b2ob2o7b2o2b2o30b2o96bobob
o3bobobo9bob4o7b4obo22bobo5bobo25b2ob2o3b2ob2o72bo3bobobo13b2ob5ob3obo
b3ob5ob2o127bobobo3bobobo167bobobo3bobobo9bo2bobo3b2ob2o3bobo2bo$82b2o
119b2o13b2o22b2o2bo3bo2b2o28b2ob2o103bo2bo9bo2bo333b5ob5o3b5ob5o$243bo
b2o3b2obo29b2ob2o106b2obo3bob2o336b2o2b2obo3bobo3bob2o2b2o$243b4o3b4o
139b2ob3ob3ob2o342b2ob2ob2ob2o$244bobo3bobo141bobobobobobo343bo3bobo3b
o$244b2o5b2o141b2ob2ob2ob2o342b13o$245bo5bo143bobo3bobo343b2o2bobobo2b
2o$245b2o3b2o142b2ob2ob2ob2o$244b2o5b2o141b2ob2ob2ob2o$244b2o5b2o6$
205bo2bo2bo$203b11o$203b2o2bobo2b2o$205b3ob3o$205bobobobo$201b2ob2obob
ob2ob2o$8bo3bo167bobobo3bo3bo8b2obob2ob2obob2o144bo3bo3bo3bo167bobobo
3bo3bo13b2ob2ob2o2b2o2b2ob2ob2o132bobobo3bo3bo$35b5o8b6o126bobobo3bo3b
o10b3o5b3o20b2o5b2o117bo3bo3bo3bo167bobobo3bo3bo12bob2ob2ob8ob2ob2obo
131bobobo3bo3bo$8bo3bo9b5o7bob3obo6bob4obo11b2o12b2o2b2o8b2ob2o7b2ob2o
73bo3bo3bo6b3obo9bob3o16b2o5b2o117bo3bo3bo3bo167bo7bo3bo11bobobo2bo3bo
2bo3bo2bobobo130bo3bo3bo3bo$21bob3obo6b2obob2o6b2ob2ob2o9bo4bo10b6o7bo
b3obo6b2ob2o73bo3bo3bo6b3o13b3o17b2o3b2o118bo3bo3bo3bo167bo7bo3bo11b3o
2b3o2bo4bo2b3o2b3o130bo3bo3bo3bo$8bobobo8b2obob2o6b3ob3o6b3o2b3o8b2o4b
2o10bo2bo8b2o3b2o4b2o4b2o68bobobo3bobobo42bo5bo118bobobo3bobobo167bobo
bo3bobobo9b2o2bo2bobobo6bobobo2bo2b2o128bobobo3bobobo$21b3ob3o6b3ob3o
6b3o2b3o6b3ob4ob3o8b4o9bo3bo5b2o4b2o68bobobo3bobobo6b3o13b3o16b2o2bo2b
2o117bobobo3bobobo167bobobo3bobobo9b2obobo4b3o4b3o4bobob2o128bobobo3bo
bobo$12bo8b2obob2o6b2obob2o6b2ob2ob2o6b2ob2o2b2ob2o6b2o4b2o7bo3bo8bob
2o69bo11bo6b3obo9bob3o17bo5bo122bo7bo167bo3bo7bo167bo3bo7bo$21bob3obo
6bob3obo6bob4obo24b2o4b2o6b2obob2o4b4o2b2o68bo11bo10b3o5b3o21bo5bo122b
o7bo167bo3bo7bo9b2obobo4b3o4b3o4bobob2o128bo3bo7bo$12bo9b5o8b5o8b6o26b
2o2b2o7bob3obo4b2ob3obo68bobobo7bo8b2obob2ob2obob2o18b9o121bo7bo167bob
obo7bo9b2o2bo2bobobo6bobobo2bo2b2o128bobobo7bo$80b2o2b2o8b2ob2o10b2o
69bobobo7bo8b2ob2obobob2ob2o19bobobobo122bo7bo167bobobo7bo11b3o2b3o2bo
4bo2b3o2b3o130bobobo7bo$205bobobobo23b2o3b2o322bobobo2bo3bo2bo3bo2bobo
bo$205b3ob3o22b2o5b2o322bob2ob2ob8ob2ob2obo$203b2o2bobo2b2o20b2o5b2o
323b2ob2ob2o2b2o2b2ob2ob2o$203b11o$205bo2bo2bo10$206b2ob2ob2ob2o$206b
2ob2ob2ob2o$204b2ob2obobob2ob2o$204b3o9b3o$207bobo3bobo25b2ob2o5b2ob2o
$32b2o167b2o3b5ob5o3b2o19b2ob2o5b2ob2o127b2o$8bobobo18bob3o144bobobo3b
obobo8b2o3bo2b2ob2o2bo3b2o21bob2o3b2obo106bo3bo3bobobo10b2o155bobobo3b
obobo167bobobo3bobobo$20bob2o7b2obobo143bobobo3bobobo6b2obob2ob2obobob
2ob2obob2o19bobo5bobo106bo3bo3bobobo11b2o154bobobo3bobobo167bobobo3bob
obo$8bo9b5obo7bo3b3o57b2o86bo3bo10b3ob2obobobobobobob2ob3o15b2ob2obo5b
ob2ob2o102bo3bo3bo15b2o3bo3bo146bo7bo171bo3bo3bo$18b2obob2o6b2o4b2o5b
2obobob2o28bo14b2o2b2o82bo3bo12bo2bob2obo3bob2obo2bo17b2obo3bo3bo3bob
2o102bo3bo3bo17b2ob2ob2o146bo7bo171bo3bo3bo$8bobobo10bo7b2ob2obo5bob7o
bo25b5o13b5o78bobobo3bobobo6b2o2b3o2bo5bo2b3o2b2o16b3ob3o3b3ob3o103bob
obo3bobobo13b2ob2ob2o146bobobo3bobobo167bobobo3bobobo$18b2o3b2o7b2obob
2o4b2o2bo2bob2o8b2o2b2o10bobobobo9b3obobo79bobobo3bobobo6b3o2b4o7b4o2b
3o15b2o15b2o102bobobo3bobobo11b2o3bo3bo146bobobo3bobobo167bobobo3bobob
o$12bo5b2ob4o7bob3obo5b2o4bobo9b2o2b2o9bobo3bobo8b3o3bo79bo11bo47b3ob
3o3b3ob3o107bo7bo11b2o154bo3bo7bo167bo3bo7bo$21bo11b2ob2o5b2o2bo2bob2o
7b2o4b2o8b9o14b2o78bo11bo6b3o2b4o7b4o2b3o15b2obo3bo3bo3bob2o106bo7bo
10b2o9b3o143bo3bo7bo167bo3bo7bo$8bobobo5b2ob2o20bob7obo8bo4bo8b2o7b2o
7b4ob2o79bobobo3bobobo6b2o2b3o2bo5bo2b3o2b2o15b2ob2obo5bob2ob2o106bo3b
obobo10b2o10b3o142bobobo3bobobo167bobobo3bobobo$18b2ob2o21b2obobob2o8b
o2b2o2bo7bob7obo7b2obob2o79bobobo3bobobo8bo2bob2obo3bob2obo2bo21bobo5b
obo110bo3bobobo19bo3bobo141bobobo3bobobo167bobobo3bobobo$61b2ob2ob2o8b
2o2bo2b2o10b2o101b3ob2obobobobobobob2ob3o19bob2o3b2obo136b6ob3o$60b2ob
2ob2o28b2o101b2obob2ob2obobob2ob2obob2o17b2ob2o5b2ob2o134b2obo2bob2o$
60b2ob2ob2o133b2o3bo2b2ob2o2bo3b2o19b2ob2o5b2ob2o140bo2bo$201b2o3b5ob
5o3b2o173b2o$207bobo3bobo180b2o$204b3o9b3o176b2o$204b2ob2obobob2ob2o
176b2o$206b2ob2ob2ob2o$206b2ob2ob2ob2o9$47b2ob2o5b2o2b2o$47b2ob2o5b6o$
48bobo7bo2bo7b2o2b2o$8bobobo8b2o2b2o21b3o7b4o6bob5o105bobobo3bobobo
167bo3bo3bobobo167bobobo3bobobo167bobobo3bobobo$21b6o19b2o3b2o3b2o4b2o
4b2obobo106bobobo3bobobo167bo3bo3bobobo167bobobo3bobobo167bobobo3bobob
o$8bo10b2obobo9b2ob2o7b2o3b2o3b2o4b2o5bo3b2o6b2o101bo3bo171bo3bo3bo
171bo7bo171bo3bo3bo$19b2o3bo8b3ob3o29bo3bo6b2obo100bo3bo171bo3bo3bo
171bo7bo171bo3bo3bo$8bobobo7bo3b2o20b2o3b2o3b2o4b2o4b2o3bo8b2o96bobobo
3bobobo167bobobo3bobobo167bobobo3bobobo167bobobo3bobobo$20bo3b2o7b3ob
3o6b2o3b2o3b2o4b2o5bob2ob2o6bo97bobobo3bobobo167bobobo3bobobo167bobobo
3bobobo167bobobo3bobobo$8bo3bo6b2obobo9b2ob2o9b3o7b4o7b2o2b3o104bo7bo
3bo171bo3bo3bo167bo3bo3bo3bo167bo3bo3bo3bo$19bob2obo23bobo7bo2bo8b4o
106bo7bo3bo171bo3bo3bo167bo3bo3bo3bo167bo3bo3bo3bo$8bobobo7b2ob4o20b2o
b2o5b6o7b2o108bobobo3bobobo171bo3bobobo167bobobo3bobobo167bobobo3bobob
o$25b2o20b2ob2o5b2o2b2o117bobobo3bobobo171bo3bobobo167bobobo3bobobo
167bobobo3bobobo12$391b2ob2ob2ob2o$391b2ob2ob2ob2o$390b2obo5bob2o$391b
3o5b3o$390bo2b2o3b2o2bo$223b2ob2ob2ob2o156b4obobob4o$223b2ob2ob2ob2o
17b2ob2o16b2obob2o112bob3ob3obo$221b2o2bo5bo2b2o15b2ob2o12b2o2b7o2b2o
102bob2o2bo3bobo3bo2b2obo$220bob5o3b5obo12b2obobob2o10b4o2bobo2b4o100b
4ob3ob2obobob2ob3ob4o$8bobobo13b2o2b2o148bobobo3bobobo27b2obo2bo3bo2bo
b2o10b3obo3bob3o10bob2o3b2obo79bo3bo3bobobo10b2obobo2bob3ob3obo2bobob
2o130bobobo3bobobo167bobobo3bobobo$25bob4obo147bobobo3bobobo25b2ob2ob
3o3b3ob2ob2o7bobobo5bobobo9bobo5bobo79bo3bo3bobobo12b5ob2o7b2ob5o132bo
bobo3bobobo167bobobo3bobobo$12bo12b3o2b3o151bo7bo16b2o7b2obobob2o3b2ob
obob2o7b2o2b3ob3o2b2o7b2obo7bob2o77bo3bo7bo10b2o2bobo2bo7bo2bobo2b2o
130bo11bo167bo3bo7bo$23b2o2bo2bo2b2o32b2o115bo7bo9b2obo3b2o9b2ob2o7b2o
b2o8b2ob2ob2ob2ob2ob2o6b3o2bo3bo2b3o77bo3bo7bo10b2o3b5o7b5o3b2o130bo
11bo167bo3bo7bo$12bo10b5o2b5o9b2ob2o11b2o2bo2b2o18b2o2b2o87bobobo7bo9b
6obo8b2ob4o7b4ob2o7bobob3ob3obobo9b5ob5o79bobobo7bo167bobobo7bo167bobo
bo7bo$25bo6bo11b7ob2o6b8o19b2o2b2o13b2o2b2o68bobobo7bo14b2obo7b2o17b2o
7b2o11b2o9b2ob2ob2ob2o79bobobo7bo10b2o3b5o7b5o3b2o130bobobo7bo167bobob
o7bo$12bo12bo6bo17b4o9bo3bo13b2o2bobob2obobo2b2o7b2o2b2o68bo11bo9b2obo
3bobo33b2o13b2o102bo7bo10b2o2bobo2bo7bo2bobo2b2o130bo3bo7bo167bo3bo7bo
$23b5o2b5o9b2o3bobo8b2ob2ob3o12b8o2b8o4b2obo4bob2o65bo11bo9b4o3b3o6b2o
17b2o7b2o11b2o9b2ob2ob2ob2o83bo7bo12b5ob2o7b2ob5o132bo3bo7bo167bo3bo7b
o$12bo10b2o2bo2bo2b2o9b2obobo10b3o5bo17bo2b2o2bo9b2obo4bob2o65bobobo7b
o17bo7b2ob4o7b4ob2o7bobob3ob3obobo9b5ob5o83bo7bo10b2obobo2bob3ob3obo2b
obob2o130bobobo7bo167bobobo7bo$25b3o2b3o12bo2b3o11b4ob3o13b2o10b2o8b2o
4b2o67bobobo7bo9b4o3b2o9b2ob2o7b2ob2o8b2ob2ob2ob2ob2ob2o6b3o2bo3bo2b3o
81bo7bo10b4ob3ob2obobob2ob3ob4o130bobobo7bo167bobobo7bo$25bob4obo12b2o
2b2o13bo3b2o13b2o10b2o6b2o8b2o87b2obo3bo8b2obobob2o3b2obobob2o7b2o2b3o
b3o2b2o7b2obo7bob2o102bob2o2bo3bobo3bo2b2obo$26b2o2b2o12b2ob2o15b4o18b
o2b2o2bo9b12o92b3o8b2ob2ob3o3b3ob2ob2o7bobobo5bobobo9bobo5bobo110bob3o
b3obo$44b2ob2o13b2o2b2o13b8o2b8o6bobo2bobo89b6o2b2o8b2obo2bo3bo2bob2o
10b3obo3bob3o10bob2o3b2obo109b4obobob4o$62b2o17b2o2bobob2obobo2b2o103b
2obo4b2o8bob5o3b5obo12b2obobob2o10b4o2bobo2b4o107bo2b2o3b2o2bo$87b2o2b
2o128b2o2bo5bo2b2o15b2ob2o12b2o2b7o2b2o108b3o5b3o$87b2o2b2o130b2ob2ob
2ob2o17b2ob2o16b2obob2o111b2obo5bob2o$223b2ob2ob2ob2o157b2ob2ob2ob2o$
391b2ob2ob2ob2o9$24b2o2b2o$20b2o2b2o2b2o2b2o$20b2o3b4o3b2o$22b3o4b3o$
8bobobo9bobo4bobo34b2o112bobobo3bobobo167bo3bo3bobobo167bobobo3bobobo
167bobobo3bobobo$19b2ob2o6b2ob2o18b2o11b2o16b2o94bobobo3bobobo167bo3bo
3bobobo167bobobo3bobobo167bobobo3bobobo$8bo3bo6b3o10b3o15bo2b2o8b2obo
3b2o12b2o2b2o94bo3bo3bo167bo3bo3bo3bo167bo7bo3bo167bo3bo3bo3bo$21bo10b
o12b2ob5o10b2o2b5o7b2o2b2ob4o94bo3bo3bo167bo3bo3bo3bo167bo7bo3bo167bo
3bo3bo3bo$8bobobo8bo10bo12b4o3bo11bo3bo10b6obobob2o88bobobo3bobobo167b
obobo3bobobo167bobobo3bobobo167bobobo3bobobo$19b3o10b3o12bob5o9b2o3b6o
7bo4bobob2o88bobobo3bobobo167bobobo3bobobo167bobobo3bobobo167bobobo3bo
bobo$8bo3bo6b2ob2o6b2ob2o12bobobobo10b5obob2o7b2o2b3obo90bo7bo3bo171bo
3bo3bo167bo3bo3bo3bo167bo3bo3bo3bo$22bobo4bobo14b2o5b3o7b2obobobobo7b
2o6b2o90bo7bo3bo171bo3bo3bo167bo3bo3bo3bo167bo3bo3bo3bo$8bobobo9b3o4b
3o14b2obobo2b2o7bob2obobob2o6bob7o91bobobo3bobobo171bo3bobobo167bobobo
3bobobo167bobobo3bobobo$20b2o3b4o3b2o14b6o10b2ob5obo7b2o2bo2b2o90bobob
o3bobobo171bo3bobobo167bobobo3bobobo167bobobo3bobobo$20b2o2b2o2b2o2b2o
14b2o2b2o15bob2o15b2o$24b2o2b2o10$209b2o7b2o$209b2o7b2o$210bob2ob2obo$
209bo2b2ob2o2bo$209b2o2bobo2b2o$208b2o3bobo3b2o165b2ob2ob2ob2o$207bob
5ob5obo164b2ob2ob2ob2o$202b2ob4o2bobobobo2b4ob2o157b3obo5bob3o$72b2ob
2ob2ob2o119b3obobo2bobobobo2bobob3o157b2ob2o5b2ob2o$8bobobo10b2o2bo2bo
2b2o30bo6b2ob2ob2ob2o6b2o3b2o84bobobo3bobobo15b3obo3bob3o139bo3bo3bobo
bo12bobo7bobo142bobobo3bobobo167bobobo3bobobo$23b12o10b2ob2o10bo3bobo
7bo5bo8b2o3b2o84bobobo3bobobo11b2o2bo2bo5bo2bo2b2o135bo3bo3bobobo7b2o
2b4o7b4o2b2o137bobobo3bobobo167bobobo3bobobo$8bo3bo11bobob2obobo10bob
3obo7b6obo8bo5bo7b2o5b2o10b2o2b2o71bo3bo3bo11b7o7b7o135bo3bo3bo3bo7b5o
bo9bob5o137bo7bo3bo167bo3bo3bo3bo$23b2o2bo2bo2b2o9b2obob2o7b2obo2bo8b
2o5b2o7bo5bo11b5obo70bo3bo3bo167bo3bo3bo3bo9bo17bo139bo7bo3bo167bo3bo
3bo3bo$8bobobo11bo8bo11bo3bo14bo8bob2ob2obo6bo7bo11bobob2o66bobobo3bob
obo11b7o7b7o135bobobo3bobobo167bobobo3bobobo167bobobo3bobobo$24bo8bo
11bo3b2o12b2o7b2o2bobo2b2o4bobo5bobo10bo3bo67bobobo3bobobo11b2o2bo2bo
5bo2bo2b2o135bobobo3bobobo9bo17bo139bobobo3bobobo167bobobo3bobobo$12bo
10b2o2bo2bo2b2o8b2obo2bo14b2o6b5ob5o2b4o2bobo2b4o6b3o3b2o66bo11bo15b3o
bo3bob3o143bo7bo7b5obo9bob5o137bo3bo7bo167bo3bo7bo$24bobob2obobo9b2o2b
ob2o12b2o11bobo6b2ob3o3b3ob2o6b2obo2bo67bo11bo9b3obobo2bobobobo2bobob
3o137bo7bo7b2o2b4o7b4o2b2o137bo3bo7bo167bo3bo7bo$8bobobo10b12o10b4obo
12b2o9b7o10bobo14bo2b2o67bobobo3bobobo9b2ob4o2bobobobo2b4ob2o137bo3bob
obo12bobo7bobo142bobobo3bobobo167bobobo3bobobo$23b2o2bo2bo2b2o10b2ob2o
24b2obob2o9b2ob2o13b2obo68bobobo3bobobo14bob5ob5obo142bo3bobobo11b2ob
2o5b2ob2o141bobobo3bobobo167bobobo3bobobo$90b2ob2o12b2o2b2o95b2o3bobo
3b2o163b3obo5bob3o$107b2o2b2o96b2o2bobo2b2o166b2ob2ob2ob2o$209bo2b2ob
2o2bo166b2ob2ob2ob2o$210bob2ob2obo$209b2o7b2o$209b2o7b2o14$56b2o2b2o$o
bo5bobobo24b2o2bo2b2o9bob5o118bobobo3bobobo167bobobo3bobobo167bobobo3b
obobo167bobobo3bobobo$22b2ob2o10b9o9b2obobo119bobobo3bobobo167bobobo3b
obobo167bobobo3bobobo167bobobo3bobobo$2bo5bo3bo9b5o13bobo13bo3b2o122bo
3bo3bo167bo7bo3bo171bo3bo3bo167bo3bo3bo3bo$20b2o5b2o6b3obo3bob3o7bo4bo
123bo3bo3bo167bo7bo3bo171bo3bo3bo167bo3bo3bo3bo$2bo5bo3bo7b4o2b3o6b2ob
7ob2o7b3ob2o119bobobo3bo3bo167bobobo3bo3bo171bo3bo3bo167bobobo3bo3bo$
21bobobobo25b2o2bobo120bobobo3bo3bo167bobobo3bo3bo171bo3bo3bo167bobobo
3bo3bo$2bo5bo3bo8bobobobo7b13o5b2o2bobo124bo3bo3bo171bo3bo3bo171bo3bo
3bo171bo3bo3bo$20b4o2b3o6b2obo2bo2bob2o6b2ob2ob2o122bo3bo3bo171bo3bo3b
o171bo3bo3bo171bo3bo3bo$obobo3bobobo7b2o5b2o25b2ob2ob2o118bobobo3bobob
o167bobobo3bobobo171bo3bobobo167bobobo3bobobo$22b5o153bobobo3bobobo
167bobobo3bobobo171bo3bobobo167bobobo3bobobo$22b2ob2o9$208b2obob2o$
208b7o$206b2o2bobo2b2o$205bob3o3b3obo$205b2o3bobo3b2o$206b3o5b3o$64b2o
3b2o135bobo5bobo$64b2o3b2o36b2o5b2o91b2o5b2o18b2o7b2o$63b2o5b2o35b2o5b
2o84b2o4b2ob2ob2ob2o4b2o11b2o2bobo2b2o$60b2o2b2o3b2o2b2o33b2o3b2o84bob
3obobo2bobo2bobob3obo11b9o$60b2ob2obobob2ob2o9b2o2bo2b2ob2o11b2o5b2o
83b2obob3ob3ob3ob3obob2o7b2o2bo3bo3bo2b2o$obo5bobo51b2obo3bob2o11b8ob
3o10bo2bo3bo2bo63bobobo3bobo6b2obob3o2bob2ob2obo2b3obob2o5b5o7b5o112bo
bobo3bobo169bobobo3bobo169bobobo3bobo$62bob2o3b2obo12bo3bo4bo10bob3o3b
3obo62bobobo3bobo6b2obo4bob2o5b2obo4bob2o134bobobo3bobo169bobobo3bobo
169bobobo3bobo$2bo7bo15b2o2b2o10b2o2b2o11b2ob3o5b3ob2o8bo9bo6b2obobobo
5bobobob2o62bo5bo7b2obo3b4o5b4o3bob2o8b2o9b2o114bo9bo173bo5bo169bo3bo
5bo$24b8o10b6o11b5o7b5o8b2o8b2o5b4ob2o7b2ob4o62bo5bo6b2o25b2o7b2o9b2o
114bo9bo173bo5bo169bo3bo5bo$2bo7bo11b3obo2bo13bobo2b2o35bo7b2o8bob2o9b
2obo60bobobo5bo7b2obo3b4o5b4o3bob2o135bobobo5bo173bo5bo169bobobo5bo$
22b2o4b2o10b3obo2b3o9b5o7b5o9b2o7bo85bobobo5bo6b2obo4bob2o5b2obo4bob2o
7b2o9b2o114bobobo5bo173bo5bo169bobobo5bo$2bo7bo12bo5b2o9b2o2bo3bo10b2o
b3o5b3ob2o8b2o8b2o88bo5bo6b2obob3o2bob2ob2obo2b3obob2o7b2o9b2o118bo5bo
173bo5bo173bo5bo$23bob5o12bob5o13bob2o3b2obo12bo9bo88bo5bo8b2obob3ob3o
b3ob3obob2o140bo5bo173bo5bo173bo5bo$obobo3bobobo8b4obob2o12b2obo3b2o
11b2obo3bob2o12bo4bo3bo8bob2o9b2obo60bobobo3bobobo6bob3obobo2bobo2bobo
b3obo7b5o7b5o112bobobo3bobobo171bo3bobobo167bobobo3bobobo$21b2o17b2o3b
2o2b2o9b2ob2obobob2ob2o9b3ob8o5b4ob2o7b2ob4o58bobobo3bobobo7b2o4b2ob2o
b2ob2o4b2o8b2o2bo3bo3bo2b2o112bobobo3bobobo171bo3bobobo167bobobo3bobob
o$40b2o3b2o13b2o2b2o3b2o2b2o9b2ob2o2bo2b2o5b2obobobo5bobobob2o85b2o5b
2o19b9o$63b2o5b2o33bob3o3b3obo88bobo5bobo17b2o2bobo2b2o$64b2o3b2o35bo
2bo3bo2bo89b3o5b3o17b2o7b2o$64b2o3b2o36b2o5b2o89b2o3bobo3b2o$108b2o3b
2o90bob3o3b3obo$107b2o5b2o90b2o2bobo2b2o$107b2o5b2o92b7o$208b2obob2o
12$207b2obob2o$obo5bobobo11b2ob2ob2ob2o145bobobo3bobobo14b7o146bobobo
3bobobo167bobobo3bobobo167bobobo3bobobo$24b2ob2ob2ob2o145bobobo3bobobo
8b2o2b2o2bobo2b2o2b2o140bobobo3bobobo167bobobo3bobobo167bobobo3bobobo$
2bo9bo12bobo3bobo150bo7bo8b5o2b2ob2o2b5o140bo11bo171bo7bo167bo3bo7bo$
24b2o7b2o149bo7bo12b2ob2ob2ob2o144bo11bo171bo7bo167bo3bo7bo$2bo5bobobo
11bo9bo145bobobo3bobobo8b3ob4o3b4ob3o140bobobo3bobobo171bo3bobobo167bo
bobo3bobobo$23b5o3b5o144bobobo3bobobo8b2o15b2o140bobobo3bobobo171bo3bo
bobo167bobobo3bobobo$2bo5bo15bob2o3b2obo149bo3bo175bo3bo175bo3bo175bo
3bo$23b2o9b2o148bo3bo12b2o15b2o144bo3bo175bo3bo175bo3bo$obobo3bobobo
10b2o9b2o144bobobo3bobobo8b3ob4o3b4ob3o140bobobo3bobobo171bo3bobobo
167bobobo3bobobo$22b2o11b2o143bobobo3bobobo12b2ob2ob2ob2o144bobobo3bob
obo171bo3bobobo167bobobo3bobobo$22b2o11b2o164b5o2b2ob2o2b5o$201b2o2b2o
2bobo2b2o2b2o$207b7o$207b2obob2o15$42b2o2b2o$42b2o2b2o$obo5bobobo8b2ob
2ob2ob2o11b4o20bo2b2o47b2o59bobobo3bobobo167bobobo3bobobo167bobobo3bob
obo167bobobo3bobobo$21b2ob2ob2ob2o7b2o2bo2bo2b2o11b2ob7o47b2o2bo56bobo
bo3bobobo167bobobo3bobobo167bobobo3bobobo167bobobo3bobobo$2bo9bo9bo2bo
bo2bo8b12o11b4o4bo46b2ob6o6b2o50bo7bo167bo11bo171bo7bo167bo3bo7bo$21bo
bobobobobo8bo8bo11b2o5b3o12b2o32b2o3bob2o5bob3o48bo7bo167bo11bo171bo7b
o167bo3bo7bo$2bo5bobobo8b5ob5o8bo8bo12b2o3b2ob2o11b2o2bob2o10b2o5b2o8b
o2bo2bo6b2obobob2o40bobobo3bobobo167bobobo3bobobo171bo3bobobo167bobobo
3bobobo$20b2o9b2o5b4o6b4o9b2o5b3o11b2ob6o10b2o5b2o8bo2bo2bo7bo3b4o40bo
bobo3bobobo167bobobo3bobobo171bo3bobobo167bobobo3bobobo$2bo9bo8b5ob5o
6b2ob3o2b3ob2o10b4o4bo11bobobobo13b2o3b2o8b2o3b5o4b2o3bo3b2o42bo7bo
171bo7bo171bo7bo171bo7bo$21bobobobobobo11b4o15b2ob7o9b5o2bo13bo5bo9bob
3o2b2o5bo2b2ob4o42bo7bo171bo7bo171bo7bo171bo7bo$obobo3bobobo9bo2bobo2b
o12bo2bo20bo2b2o9bo6b3o9b4o3b4o6b2obo11bo4bobo40bobobo3bobobo167bobobo
3bobobo171bo3bobobo167bobobo3bobobo$21b2ob2ob2ob2o10b6o34b3ob2ob2o9b2o
7b2o7b2ob2o8b7o42bobobo3bobobo167bobobo3bobobo171bo3bobobo167bobobo3bo
bobo$21b2ob2ob2ob2o10b2o2b2o33b2obo2b2o12bobo3bobo8b2ob2o8b2obo2b2o$
81bob4obo12b4ob4o27b2o$82b2o2b2o11b2o3bobo3b2o$99b2o2b2ob2o2b2o$103b2o
b2o7$44b2o5b2o$44b4ob4o$46bob2obo3b2o$42b5o4b5obo13b3o$41bobo3b4o3bob
2o14b4o31b2o2b2o273b2ob2o$41b2ob3ob2ob3ob2o17b2o12b2ob2ob2ob2o8b2o2b2o
273b2ob2o$38b2obobo10bobo15b2o14b2ob2ob2ob2o4b2o3b4o3b2o270bobo$26b2o
10b2obobo10bobob2o12b2o15bo2bobo2bo5b6o2b6o9b2ob2o7b2ob2ob2o235b2ob4ob
4ob2o$21b2ob4o11b3obo10bob4o14b2o12b2ob2ob2ob2o6bo8bo10bob3obo6b5ob2o
235b4obo3bob4o$obo5bo3bo8b2ob2o13bo2bo12bo2bo15b2o13bo7bo7bob6obo10b2o
bob2o7bo4bo35bobobo3bo3bo167bobobo3bo3bo11bobo3bobo147bobobo3bo3bo167b
obobo3bo3bo$22bobo15bob2o10b2ob2o14b2o14b2o5b2o6b3ob4ob3o10bo3bo8b2o3b
o35bobobo3bo3bo167bobobo3bo3bo8b3obo5bob3o144bobobo3bo3bo167bobobo3bo
3bo$2bo5bo3bo8b2o16b2ob2o10b2obo15b2o13b2o7b2o6bobob2obobo10b2o3b2o6b
2o4b2o38bo3bo3bo167bo7bo3bo8b2ob2o5b2ob2o148bo3bo3bo167bo3bo3bo3bo$21b
o17bo2bo12bo2bo30b2o5b2o6b2o2bo2bo2b2o9bo4b2o6bob3obo39bo3bo3bo167bo7b
o3bo12b2o3b2o152bo3bo3bo167bo3bo3bo3bo$2bo5bobobo6b6o13b4obo10bob3o30b
o7bo7b2obo2bob2o9b2o11b2obobob2o34bobobo3bobobo167bobobo3bobobo12bo5bo
152bo3bobobo167bobobo3bobobo$19b2o2b2o13b2obobo10bobob2o28b2ob2ob2ob2o
6b2obo2bob2o9b2ob5o5bob4ob2o34bobobo3bobobo167bobobo3bobobo11b4ob4o
151bo3bobobo167bobobo3bobobo$2bo9bo28bobo10bobob2o29bo2bobo2bo9b6o13b
2o2b2o6b2o2b2o40bo7bo171bo7bo12b3ob3o152bo7bo171bo7bo$41b2ob3ob2ob3ob
2o31b2ob2ob2ob2o8b2o2b2o13b2o14b2o40bo7bo171bo7bo11bo2bobo2bo151bo7bo
171bo7bo$obobo7bo27b2obo3b4o3bobo31b2ob2ob2ob2o81bobobo7bo167bobobo7bo
9b6ob6o149bo7bo167bobobo7bo$40bob5o4b5o124bobobo7bo167bobobo7bo9b2o2b
2ob2o2b2o149bo7bo167bobobo7bo$41b2o3bob2obo$45b4ob4o$45b2o5b2o18b2ob2o
$72b2ob2o$72bo3bo8$60b2o13b2o$60b2o13b2o$58b2ob2o11b2ob2o$58b3obo11bob
3o$60b4o9b4o$62b2o9b2o132b2ob2ob2ob2o15b2o2b2ob2ob2o2b2o$26b2o15b2o
162b2ob2ob2ob2o11b2o2b5ob4ob5o2b2o$25b4o14b2o160b2obo2bobo2bob2o9b4obo
2bobo2bobo2bob4o$obo5bobobo30b2o22b3o110bobobo3bobobo12b7ob7o12bo6b4o
6bo110bobobo3bobobo167bobobo3bobobo167bobobo3bobobo$26b2o38bobobo109bo
bobo3bobobo16b2o3b2o13b2obo5b2o2b2o5bob2o107bobobo3bobobo167bobobo3bob
obo167bobobo3bobobo$2bo5bo17b2o14b4o20b2ob2o113bo3bo14b5o9b5o7b4o5bo4b
o5b4o107bo7bo175bo3bo171bo3bo3bo$43b2o21bobobo113bo3bo14b2obo11bob2o
138bo7bo175bo3bo171bo3bo3bo$2bo5bobobo13b2o13b2o2b2o20b3o110bobobo3bob
obo36b4o5bo4bo5b4o107bobobo3bobobo171bo3bobobo167bobobo3bobobo$26b2o
11b4o2b4o131bobobo3bobobo36b2obo5b2o2b2o5bob2o107bobobo3bobobo171bo3bo
bobo167bobobo3bobobo$2bo9bo26b2o6b2o135bo7bo39bo6b4o6bo114bo7bo171bo7b
o171bo7bo$25b4o33b2o9b2o109bo7bo10b2obo11bob2o7b4obo2bobo2bobo2bob4o
111bo7bo171bo7bo171bo7bo$obobo3bobobo13b2o32b4o9b4o103bobobo3bobobo10b
5o9b5o7b2o2b5ob4ob5o2b2o107bobobo3bobobo171bo3bobobo167bobobo3bobobo$
58b3obo11bob3o101bobobo3bobobo16b2o3b2o17b2o2b2ob2ob2o2b2o111bobobo3bo
bobo171bo3bobobo167bobobo3bobobo$58b2ob2o11b2ob2o126b7ob7o$60b2o13b2o
128b2obo2bobo2bob2o$60b2o13b2o130b2ob2ob2ob2o$207b2ob2ob2ob2o15$29bobo
bo$27b9o$obo5bobobo13bobobobobobo143bobobo3bobobo167bobobo3bobobo167bo
bobo3bobobo167bobobo3bobobo$26b2ob2ob2ob2o143bobobo3bobobo167bobobo3bo
bobo167bobobo3bobobo167bobobo3bobobo$2bo5bo18bobo3bobo148bo3bo171bo7bo
175bo3bo171bo3bo3bo$26bobo5bobo147bo3bo171bo7bo175bo3bo171bo3bo3bo$2bo
5bobobo13b2obo3bob2o143bobobo3bobobo167bobobo3bobobo171bo3bobobo167bob
obo3bobobo$27b2o5b2o144bobobo3bobobo167bobobo3bobobo171bo3bobobo167bob
obo3bobobo$2bo5bo3bo14bo7bo148bo3bo3bo171bo3bo3bo171bo3bo3bo171bo3bo3b
o$26b2o7b2o147bo3bo3bo171bo3bo3bo171bo3bo3bo171bo3bo3bo$obobo3bobobo
13bo9bo143bobobo3bobobo167bobobo3bobobo171bo3bobobo167bobobo3bobobo$
25b2o9b2o142bobobo3bobobo167bobobo3bobobo171bo3bobobo167bobobo3bobobo$
26b2o7b2o$26b2o7b2o10$754b2obob2o$754b7o$752b2o2bobo2b2o$751bob4ob4obo
$751b2o3bobo3b2o$210b2ob2o537bob2o3b2obo$210b2ob2o536bob2o5b2obo$211bo
bo537b2obo5bob2o$29b2ob2ob2ob2o165b2ob4ob4ob2o532bob2o3b2obo$obo5bobob
o16b2ob2ob2ob2o18b2o120bobobo3bobobo11bob3o2bobo2b3obo139bobobo3bobobo
167bobobo3bobobo167bobobo3bobobo12b2ob2o2bob2o3b2obo2b2ob2o$24b2obob2o
2bobo2b2obob2o8b2ob3obo119bobobo3bobobo9b4o3bo5bo3b4o137bobobo3bobobo
167bobobo3bobobo167bobobo3bobobo11bob2ob3obo7bob3ob2obo$2bo9bo11b5obo
2bobo2bob5o7bob3o2bobo122bo7bo8bobob4o7b4obobo136bo11bo171bo7bo167bo3b
o7bo11b2o2bo3bo9bo3bo2b2o$26bobob4ob4obobo9b2o3b5o122bo7bo8b2o4b2o7b2o
4b2o136bo11bo171bo7bo167bo3bo7bo9b2obob5o11b5obob2o$2bo9bo14bo13bo11b
2o6b2o117bobobo7bo7b2o21b2o135bobobo7bo171bo7bo167bobobo7bo9b2obobo2b
2o11b2o2bobob2o$52b2o5b3o118bobobo7bo8b2o4b2o7b2o4b2o136bobobo7bo171bo
7bo167bobobo7bo10b4o21b4o$2bo9bo14bo13bo10bob6obo122bo7bo8bobob4o7b4ob
obo140bo7bo171bo7bo171bo7bo9b2o27b2o$26bobob4ob4obobo10b2o2bo3b2o121bo
7bo9b4o3bo5bo3b4o141bo7bo171bo7bo171bo7bo10b4o21b4o$obobo7bo11b5obo2bo
bo2bob5o16b2o117bobobo7bo11bob3o2bobo2b3obo139bobobo7bo171bo7bo167bobo
bo7bo9b2obobo2b2o11b2o2bobob2o$24b2obob2o2bobo2b2obob2o135bobobo7bo12b
2ob4ob4ob2o140bobobo7bo171bo7bo167bobobo7bo9b2obob5o11b5obob2o$29b2ob
2ob2ob2o171bobo530b2o2bo3bo9bo3bo2b2o$29b2ob2ob2ob2o170b2ob2o529bob2ob
3obo7bob3ob2obo$210b2ob2o530b2ob2o2bob2o3b2obo2b2ob2o$752bob2o3b2obo$
751b2obo5bob2o$751bob2o5b2obo$752bob2o3b2obo$751b2o3bobo3b2o$751bob4ob
4obo$752b2o2bobo2b2o$754b7o$754b2obob2o3$206b2o3b2o$206b2o3b2o$203b2ob
o5bob2o$203b2ob2o3b2ob2o$206bobobobo$206b2o3b2o17b2obob2o$obo5bobobo8b
2obo2bo2b2o148bobobo3bobobo7b2o2b3obobob3o2b2o11b7o123bobobo3bobobo
167bobobo3bobobo167bobobo3bobobo$20bob10o148bobobo3bobobo7b5o9b5o9b2o
2bobo2b2o121bobobo3bobobo167bobobo3bobobo167bobobo3bobobo$2bo5bo3bo7b
2o5bobo154bo3bo3bo9bo13bo11b4o3b4o121bo7bo3bo171bo3bo3bo167bo3bo3bo3bo
$21b4o2b2o155bo3bo3bo36bo2bobo2bo122bo7bo3bo171bo3bo3bo167bo3bo3bo3bo$
2bo5bobobo7b2obobobo152bobobo3bobobo36b4ob4o122bobobo3bobobo171bo3bobo
bo167bobobo3bobobo$21bobobobo152bobobo3bobobo33b2obob2ob2obob2o119bobo
bo3bobobo171bo3bobobo167bobobo3bobobo$2bo5bo3bo8b4o2b2o155bo3bo3bo9bo
13bo9b3obo5bob3o123bo3bo3bo171bo3bo3bo171bo3bo3bo$20b2o5bobo154bo3bo3b
o7b5o9b5o11bo5bo127bo3bo3bo171bo3bo3bo171bo3bo3bo$obobo3bobobo7bob10o
148bobobo3bobobo7b2o2b3obobob3o2b2o9b3o5b3o121bobobo3bobobo171bo3bobob
o167bobobo3bobobo$21b2obo2bo2b2o148bobobo3bobobo13b2o3b2o15b2ob2ob2ob
2o121bobobo3bobobo171bo3bobobo167bobobo3bobobo$206bobobobo18b2ob2o$
203b2ob2o3b2ob2o15b2ob2o$203b2obo5bob2o$206b2o3b2o$206b2o3b2o9$604b2ob
2ob2ob2o$604b2ob2ob2ob2o$600b2o6bobo6b2o$600b2o2b4o3b4o2b2o$576b2o2b2o
20b3obo5bob3o$576b2o2b2o20bobob2o3b2obobo$574bobob2obobo13b2o2b6o5b6o
2b2o$obo5bobobo167bobobo3bobobo167bobobo3bobobo8b2ob2o3b2o2b2o3b2ob2o
137bobobo3bobobo12b2ob2o2b4ob4ob4o2b2ob2o4b2o2bobo3b2ob2o3bobo2b2o98bo
bobo3bobobo$21b2o2b2ob2ob2o15b2o2b2o16b2o108bobobo3bobobo167bobobo3bob
obo8b4obo2b2o2b2o2bob4o137bobobo3bobobo12b2ob5o2bobo2bobo2b5ob2o5b5ob
3o5b3ob5o99bobobo3bobobo$2bo5bo3bo8b6ob2ob2o12bobob4obobo11b3obo111bo
3bo3bo167bo7bo3bo10bob5ob2ob5obo143bo3bo3bo14bo2bob4o2b2o2b4obo2bo7b2o
3bo2bo5bo2bo3b2o99bo3bo3bo3bo$22bo3bobob2o11b4obo4bob4o9b2ob4o109bo3bo
3bo167bo7bo3bo11bo2bo3b2o3bo2bo144bo3bo3bo12b6obo2bob4obo2bob6o7b2obob
ob2ob2obobob2o101bo3bo3bo3bo$2bo5bobobo9b2o3b2o2bo11b2obobo4bobob2o10b
o3bobo104bobobo3bobobo167bobobo3bobobo171bo3bobobo12b2ob4obobo6bobob4o
b2o7b7o5b7o101bobobo3bobobo$21b2o2b2ob3o14b2obo4bob2o11b2o4b2o104bobob
o3bobobo167bobobo3bobobo171bo3bobobo167bobobo3bobobo$2bo9bo9bo3b2ob3o
11b2obobo4bobob2o10bo5b2o107bo7bo171bo7bo171bo7bo12b2ob4obobo6bobob4ob
2o7b7o5b7o105bo7bo$21b3ob2o3bo12b2ob2o6b2ob2o10bob4obo107bo7bo171bo7bo
171bo7bo12b6obo2bob4obo2bob6o7b2obobob2ob2obobob2o105bo7bo$obobo3bobob
o9b3ob2o2b2o15b3o2b3o13b2obo2b2o104bobobo3bobobo167bobobo3bobobo171bo
3bobobo14bo2bob4o2b2o2b4obo2bo7b2o3bo2bo5bo2bo3b2o99bobobo3bobobo$21bo
2b2o3b2o12b2obo2b4o2bob2o10b2ob2o106bobobo3bobobo167bobobo3bobobo11bo
2bo3b2o3bo2bo144bo3bobobo12b2ob5o2bobo2bobo2b5ob2o5b5ob3o5b3ob5o99bobo
bo3bobobo$21b2obobo3bo12b2ob2o6b2ob2o10b2ob2o309bob5ob2ob5obo164b2ob2o
2b4ob4ob4o2b2ob2o4b2o2bobo3b2ob2o3bobo2b2o$20b2ob2ob6o15b2ob2ob2o326b
4obo2b2o2b2o2bob4o171bobob2obobo13b2o2b6o5b6o2b2o$20b2ob2ob2o2b2o15b2o
b2ob2o326b2ob2o3b2o2b2o3b2ob2o173b2o2b2o20bobob2o3b2obobo$576b2o2b2o
20b3obo5bob3o$600b2o2b4o3b4o2b2o$600b2o6bobo6b2o$604b2ob2ob2ob2o$604b
2ob2ob2ob2o13$obobo3bobobo167bo3bo3bobobo167bobobo3bobobo167bobobo3bob
obo159bobo5bobobo3bobobo$180bo3bo3bobobo167bobobo3bobobo167bobobo3bobo
bo159bobo5bobobo3bobobo$4bo3bo3bo167bo3bo3bo3bo167bo7bo3bo167bo3bo3bo
3bo161bo5bo3bo3bo3bo$180bo3bo3bo3bo167bo7bo3bo167bo3bo3bo3bo161bo5bo3b
o3bo3bo$obobo3bo3bo167bobobo3bo3bo167bobobo3bo3bo167bobobo3bo3bo161bo
5bo3bo3bo3bo$180bobobo3bo3bo167bobobo3bo3bo167bobobo3bo3bo161bo5bo3bo
3bo3bo$o7bo3bo171bo3bo3bo167bo3bo3bo3bo167bo3bo3bo3bo161bo5bo3bo3bo3bo
$184bo3bo3bo167bo3bo3bo3bo167bo3bo3bo3bo161bo5bo3bo3bo3bo$obobo3bobobo
171bo3bobobo167bobobo3bobobo167bobobo3bobobo159bobobo3bobobo3bobobo$
184bo3bobobo167bobobo3bobobo167bobobo3bobobo159bobobo3bobobo3bobobo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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