For discussion of other cellular automata.
AforAmpere
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Posts: 1433 Joined: July 1st, 2016, 3:58 pm
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by AforAmpere June 19th, 2017, 10:31 am
This rule is pretty versatile with its spaceships, it has 5 three cell ships, and many others:
Code: Select all
x = 381, y = 228, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
bo4b3o11b2o11bo5bo7bo4bo7bo4bo8bo3bo10bo3bo15bo3bo14bo13bo18bo14bobo
10bo12bo4bo14bo10bo10bo12bo15b2o3b2o18b2o12b2o3b2o9bo3bo30b3o13bo$obo
4bo5b3o3bo2bo3b3o146bo120b2o2b2o12bobo9b2obobob2o26bo3bo14bo$9bo4bob4o
2b4obo4bobo3bobo5bobo2bobo5bobo2bobo6bobobobo8bobobobo13bobobobo12bo
12bo3bo14bo3bo20bo2bo3bo2bo6bo2b2o2bo11bo2bo8bo12bo26bo2bobo2bo15bo4bo
9bo2bobo2bo7bobobobo28bob2o11bo$6bob2o6bo3b2o3bo21bo4bo5bobo4bobo6bo3b
o10bo3bo15bo3bo15bo11bobo16bobo22bo7bo7b2o4b2o11bo14bo6bo8bo2bo5bo2bo
8bo2bobo2bo14bobo2bobo11bobo12b3o27b2o$8bo8bobo2bobo13bobo6bo4bo3bo2bo
2b2o2bo2bo4bo3bo10bo3bo15bo3bo26bo3bo14bo3bo57bo12bob6obo8bo3b3o3bo10b
2o3b2o16b2o2b2o12bobo44bo$17b2o4b2o14bo7bo4bo5bo8bo6bo3bo10bo3bo15bo3b
o27bobo16bobo39b2o2b2o13bo53bobo19bo2bo10b3o3b3o36b3o$38bo9b4o4bo2bo2b
2o2bo2bo2b3o3b3o7b2o3b2o13b2o3b2o23bo2bobo2bo10bo2bobo2bo34b2obo2bob2o
9bo14bo3b2o3bo25bo5bobo5bo30bobo7bob4ob4obo19bob2o$17bobo2bobo14bo17bo
b2o4b2obo17b2o7b2o9b2o7b2o20bo2b2ob2o2bo8bo2b2ob2o2bo35bob2obo14b2o10b
o8bo12bobo16bobo20b2o13bo3bo8bo7bo18bo$18bo4bo15b2o20b4o7bobo3bobo56b
2o7b2o8b2o7b2o54b2o13b2o2b2o26bo4bobobobo4bo10b2o4b2o11bobo35bobobo2bo
$18bo4bo17bo31b2o3b2o6bo9bo9bo9bo21b2o5b2o10b2o5b2o36bob2obo12b2obo2bo
43bob2obobob2obo10bo4b2o4bo5bo3bobo3bo31bobo$18bo4bo14bo20b2o4b2o7b2ob
2o6bo2bo5bo2bo7bo2bo5bo2bo19bo9bo8bo9bo36bo2bo63b2ob2o3b2ob2o15b2o10b
3o5b3o28bo2bobo$60bo4bo9bobo7b2obo5bob2o7b2obo5bob2o19bo3b3o3bo8bo3b3o
3bo34bo6bo62b3o5b3o11b3o6b3o7bo5bo10bobo19b2o$61bo2bo9bo3bo8b3o3b3o11b
2o5b2o23bobobobo12bobobobo35bo8bo61b2o7b2o11bo2bo4bo2bo8bo3bo9b3ob3o
14bo3bo$61bo2bo9b2ob2o8b2o5b2o11bobo3bobo84b2obo2bob2o87b4o10bo7bo8bo
3bo19bo$73b2o3b2o6bo9bo11bo5bo24bo5bo12bo5bo37b2o2b2o61bobo9bobo12bob
2obo10bo5bo7bobo3bobo13bo$73bo5bo4bo3b2o3b2o3bo11bobo26bobobobo12bobob
obo105bob3o3b3obo43b3o3b3o13bob2o$74bo3bo5bobobobobobobobo4b3o11b3o18b
obo3bobo10bobo3bobo36b2o2b2o67bobo18b2o2b2o11bo3bo10bo3bo$74b2ob2o6b2o
3bobo3b2o5bobob3o3b3obobo17bo9bo8bo9bo34b3o2b3o61bo2b2o3b2o2bo12b3o2b
3o6b2ob2o3b2ob2o6bo3bo$72bo7bo29bobo22b2o3bo3bo3b2o4b2o3bo3bo3b2o33bo
4bo62b3o7b3o27b2o7b2o6bo5bo$72b2obobob2o4bo11bo9bo7bo20bo11bo6bo11bo
32b2o6b2o58bobo11bobo9bo8bo9bo3bo9bo5bo$74bo3bo5bo13bo9bo5bo23bobo3bob
o10bobo3bobo34b2o6b2o58b2o13b2o9bobo4bobo23b2o3b2o$73b2o3b2o4bo13bo9bo
5bo23b2o5b2o10b2o5b2o34bo8bo63bo5bo13bob2ob2ob2obo21bo7bo$72bo7bo58b2o
3b2o12b2o3b2o33bo12bo60bob2ob2obo11b2o3b4o3b2o$75bobo6bobo9bobo9bobobo
bo23b2o5b2o10b2o5b2o106bo2bobo2bo15bo4bo24bobo3bobo$84b2ob2o5b2ob2o10b
o3bo25b2o3b2o12b2o3b2o107bo2bobo2bo14bo6bo24b2o3b2o$86b2obo3bob2o6b3ob
2o5b2ob3o16b4o5b4o6b4o5b4o101b4o7b4o13b4o24bo9bo$90bobo10b2obo3bobo3bo
b2o18bob2ob2obo10bob2ob2obo104b4obobob4o13bo4bo23bobo5bobo$87bob2ob2ob
o9bo2bobobobo2bo17bo13bo4bo13bo102b2o2bobo2b2o11bo10bo21bo7bo$90bobo
12bo2bo5bo2bo17bobo2bo3bo2bobo4bobo2bo3bo2bobo127bo4bo23b2obo3bob2o$
87b3o3b3o7bo3bo7bo3bo16b2ob2o3b2ob2o6b2ob2o3b2ob2o103bo9bo12bobo4bobo
23bo5bo$137b3obobob3o8b3obobob3o104bobo5bobo11b2ob2o2b2ob2o22b2o3b2o$
86bo9bo6bo15bo151bo9bo10b2o3bo2bo3b2o$87bo7bo7b2o13b2o20bo3bo14bo3bo
130bo8bo$87b2o5b2o44bo3bo14bo3bo110bo3bo15bobo4bobo$85bo11bo5bo15bo18b
2o5b2o10b2o5b2o107bobobobo15bo6bo$85b2obo5bob2o38bo2bobobobo2bo6bo2bob
obobo2bo106bo3bo16b2o4b2o$87bo7bo40bo2bobobobo2bo6bo2bobobobo2bo106bo
3bo16bo6bo$86b2o7b2o40b2o7b2o8b2o7b2o103bo3bo3bo3bo$85bo11bo38b2o3bobo
3b2o6b2o3bobo3b2o103bo2bo3bo2bo$88bo5bo41bo11bo6bo11bo103bobo5bobo$
137bo9bo8bo9bo104bo9bo$137b2o7b2o8b2o7b2o107bo3bo$271bo9bo$138bo7bo10b
o7bo105bo2b2ob2o2bo$137bo9bo10bo5bo104bobo2bo3bo2bobo$137b2o2bobo2b2o
6bo2b2o5b2o2bo101bob3o3b3obo$138bo7bo10bo7bo103bo3bo5bo3bo$137b2o7b2o
9b2o5b2o$139b2o3b2o9b2o9b2o104bo7bo$138bo7bo10bo7bo104b2o9b2o$140b2ob
2o9b2o11b2o103bo7bo$138bo2bobo2bo8bo3bo3bo3bo103bo9bo$136bo2b3ob3o2bo
5bo4b2ob2o4bo$138bo7bo12b2ob2o107bo9bo$136b2obo5bob2o9b2o3b2o$136bobo
7bobo5b3o9b3o100bo2bo7bo2bo$135bo13bo5b2o9b2o101bo13bo$135bo13bo6bo9bo
103bo11bo$138bo7bo8b4o2bo2b4o102bo11bo$136b3o7b3o119bo15bo$139bo5bo12b
ob3obo106b2o7b2o$140bo3bo11bo2bo3bo2bo103b2o9b2o$137b2o7b2o8bo9bo102b
2obo2bobo2bob2o$156bo2b2ob2o2bo$159b2ob2o2$156b2obo3bob2o$157b2o5b2o$
155bo2bo5bo2bo$155b3obo3bob3o$160bobo$157b3o3b3o$159bo3bo$158bo5bo$
158bo2bo2bo2$159bo3bo$159bo3bo2$160b3o$159bo3bo$157bo7bo$155bo2b2o3b2o
2bo$155b13o$160bobo$159bo3bo$158bo2bo2bo$155bobob2ob2obobo$157bo3bo3bo
$157b3o3b3o$160bobo$159b2ob2o2$157b2o5b2o$158b7o$159bo3bo2$159bo3bo2$
157bo7bo$159b2ob2o$155b4o5b4o$157bo7bo$154bo3bo5bo3bo$156bobo5bobo$
156bo9bo$157b2o5b2o$156b3o5b3o$155bo2b2o3b2o2bo$155bo2b2o3b2o2bo$158bo
bobobo$154bo5bobo5bo$155bo11bo$155bo3b2ob2o3bo2$154bob3o5b3obo$159b2ob
2o$159bo3bo$155bobo2bobo2bobo$156b5ob5o$156b2o7b2o$156bobo5bobo$157bo
7bo$155bobo7bobo$156bo9bo$155b2o9b2o$158bo5bo$158bo5bo$155b2obo5bob2o$
154b4o7b4o$154b2o11b2o2$155b4o5b4o$157bo7bo$156b2o3bo3b2o$159bo3bo$
155bobobo3bobobo$155bo2b2o3b2o2bo$156bo3bobo3bo$156b2o7b2o$158bo5bo$
159bo3bo$159bo3bo$159bo3bo2$159b2ob2o$160bobo$156bobo5bobo$157bo7bo$
157bo7bo$158b2o3b2o2$158b2o3b2o$156b2o7b2o$156b2o2bobo2b2o$154bo3b3ob
3o3bo$156bo9bo$155b3o7b3o$158bo5bo$155bo2bobobobo2bo$159bo3bo$159b2ob
2o$155b2obo5bob2o$155bo3bo3bo3bo$155b4o5b4o$154bo4bo3bo4bo$157b3o3b3o$
156bo2bo3bo2bo$160bobo$159bo3bo$159bo3bo$157bob2ob2obo$159b2ob2o$156bo
bo5bobo$156b2o7b2o2$156bo2bobobo2bo$160bobo$158bobobobo$159b2ob2o$158b
2o3b2o$158b2o3b2o$156b3o5b3o$154b2obob2ob2obob2o$155bob2o5b2obo$157b2o
5b2o$158bo5bo$157bo7bo$159bo3bo$158bo5bo$156b2obo3bob2o$155bobo7bobo$
154b2o4bobo4b2o$154b2o4bobo4b2o$155bo3b2ob2o3bo$157bo7bo$160bobo$160bo
bo$160bobo$156bobo5bobo$156bo3bobo3bo$156b3o5b3o$156bo2b2ob2o2bo$160bo
bo$155bo11bo$155b2o9b2o2$157bo7bo$157bo7bo$158bo5bo$156bob2o3b2obo$
160bobo$156bo9bo$156b3o5b3o$159bo3bo2$157bo2bobo2bo$156b2o7b2o$155bo3b
o3bo3bo$157bobo3bobo$156bo9bo$154bo13bo$156bo9bo$154b4o7b4o$156b2o7b2o
$158bo5bo$158bo5bo$156bobo5bobo!
There are three-cell ships of speeds c/2,c/3,c/4,and c/5 orthogonal, and a 2c/11 (4c/22) diagonal. I have searched for c/4 diagonal up to w14 and not found anything, so I doubt one exists.
This rule has mostly p2 oscillators, but has some other periods:
Code: Select all
x = 84, y = 26, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
bo6bobo7bobo8bo3bo8bobo9bobo8bobo11bobo2$bo10bo9bo6bo3bo6bo11bo16bo7bo
5bo2$bo6bobo7bobo10bo10bobo9bobo12bo9bobo2$bo4bo15bo10bo12bo5bo5bo10bo
7bo5bo2$bo6bobo7bobo12bo8bobo9bobo12bo9bobo4$2o7bo8bo2bo11bo20b2o24bo$
2o8bo8bo2bo8bo2bo18b2o$31bo24b2o20bo2bobo$32b2o21b2o23b2o2$9b2o69bo$
11bo7b3o$9bo9bo2bo$10b2o8b3o3$10b2o$9bobo$9b2o!
I would love if someone found a rule with more three cell ships.
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found
here . Also check out my program
EPE , a tool for searching for patterns in various rulespaces.
wildmyron
Posts: 1572 Joined: August 9th, 2013, 12:45 amLocation: Western Australia
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by wildmyron June 21st, 2017, 2:12 am
AforAmpere wrote: I would love if someone found a rule with more three cell ships.
I think this one is pretty extraordinary. I can't imagine a 2-state isotropic rule with more than five different 3-cell ships. In anisotropic rules you could arrange for the same 3-cell pattern in a different orientation to be a different ship.
The
5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by speedydelete.
Semi-active here - recovering from a severe case of
LWTDS .
Gamedziner
Posts: 795 Joined: May 30th, 2016, 8:47 pmLocation: Milky Way Galaxy: Planet Earth
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by Gamedziner June 21st, 2017, 6:38 am
What's even more extraordinary is that three-cell ships are the smallest ships possible in symmetry-preserving rules. (Two-cell ships would be linear, meaning they would move in two opposite directions at the same time, and not be a ship at all. One-cell ships would have an even worse problem due to expansion in four directions.)
Code: Select all
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
AforAmpere
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Posts: 1433 Joined: July 1st, 2016, 3:58 pm
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by AforAmpere June 21st, 2017, 6:54 am
Yeah, I found a four three cell ship rule first and found this one with just an extra 2c/11 diagonal. Full spaceship collection as of so far using gfind-pt:
Code: Select all
x = 690, y = 228, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
bo4b3o5b3o5b3o7bob3obo6b3ob3o13b2o24bo16bo5bo7bo4bo7bo4bo8b3o6b3o8b3o
4b3o7bo3bo7b3o8b3o8bo3bo15bo3bo16bo4bo13b3o4b3o10b3o6b3o7b3o6b3o9bo11b
3o2b3o17bo18bo14bobo10bo12bo4bo14bo10bo10bo12bo17bo17bo18bo16b2o3b2o
17bo18b2o12b2o3b2o9bo3bo30b3o13bo$obo4bo6b2o6b2o7bob2ob2obo6b2ob2o7b3o
3bo2bo3b3o16bobo56bobob4obobo8bobo4bobo19bobo8bobo68bobo4bobo10bobo6bo
bo7bobo6bobo19b3o2b2o2b3o48bo176bobo15b2o2b2o12bobo9b2obobob2o26bo3bo
14bo$9bo6b2o6b2o7bo3bo6b2o5b2o6bob4o2b4obo12b5obob5o9bobo3bobo5bobo2bo
bo5bobo2bobo43bobobobo7bo10bo8bobobobo13bobobobo14bobo2bobo13bo6bo12bo
8bo28bo11bo8bo14bo3bo14bo3bo20bo2bo3bo2bo6bo2b2o2bo11bo2bo8bo12bo43bob
obobobo30bo2bobo2bo12b2ob3ob2o12bo4bo9bo2bobo2bo7bobobobo28bob2o11bo$
6bob2o5b2o6b2o20b2o3b2o9bo3b2o3bo12b2ob2ob2ob2ob2ob2o22bo4bo5bobo4bobo
10bo2bo12bobo4bobo7bo3bo8bo10bo9bo3bo15bo3bo14bobo4bobo12bo6bo12bo8bo
8bobo6bobo10bo9bobo4bobo15bobo16bobo22bo7bo7b2o4b2o11bo14bo6bo8bo2bo5b
o2bo5bo2bo5bo2bo5b2ob3ob3ob2o7b4obob4o10bo2bobo2bo10b3o3bo3b3o9bobo2bo
bo11bobo12b3o27b2o$8bo5bob2o4bob2o8bobo7b2obobob2o9bobo2bobo13b3ob2o5b
2ob3o13bobo6bo4bo3bo2bo2b2o2bo2bo5bobo4bobo26bo3bo7bobo8bobo8bo3bo15bo
3bo12bo2bo2b2o2bo2bo9bobo4bobo10bobo6bobo43b2o18bo3bo14bo3bo57bo12bob
6obo8bo3b3o3bo7bo3b3o3bo7bo2bo3bo2bo7bobobo3bobobo10b2o3b2o12bo3bobo3b
o11b2o2b2o12bobo44bo$16b2o6b2o8bobo7b2o5b2o9b2o4b2o11b3o3b2obobob2o3b
3o12bo7bo4bo5bo8bo8b3o2b3o10bo8bo7bo3bo29bo3bo15bo3bo14bo8bo50bo10bo
21bo6bo16bobo16bobo39b2o2b2o13bo70bobo17bo18bobo17b2ob2o15bo2bo10b3o3b
3o36b3o$15bo7bo11bo10bo3bo30bobo3bo2bobo2bo3bobo11bo9b4o4bo2bo2b2o2bo
2bo5bo2bo2bo2bo9b2o6b2o5b3o3b3o7b2o6b2o9b2o3b2o13b2o3b2o11bo2bo2b2o2bo
2bo8bo2bo4bo2bo8bo2bo6bo2bo6b2o8b2o18bo2b3o2b3o2bo10bo2bobo2bo10bo2bob
o2bo34b2obo2bob2o9bo14bo3b2o3bo47bo3bo29bo5bobo5bo11bo3bo32bobo7bob4ob
4obo19bob2o$15bo7bo11bo10bo3bo11bobo2bobo10bo21bo11bo17bob2o4b2obo10b
2o45b2o4b2o8b2o7b2o9b2o7b2o10bob2o4b2obo10b2o6b2o10b2o8b2o41b2o2b2o13b
o2b2ob2o2bo8bo2b2ob2o2bo35bob2obo14b2o10bo8bo12bobo15bobo33b2ob2o16bob
o17bo3bo16b2o13bo3bo8bo7bo18bo$14bobo5bobo9bobo8bobobobo11bo4bo12bo5b
4ob4o5bo12b2o20b4o10bob2o2b2obo11b2o2b2o7bobo3bobo5bobo2bo2bo2bobo50b
4o13bobo6bobo8bobo8bobo8b2o4b2o20bo2bo6bo2bo9b2o7b2o8b2o7b2o54b2o13b2o
2b2o31b2ob2o13b2ob2o14b2ob2o9bo4bobobobo4bo8bobo3bobo11b2o4b2o11bobo
35bobobo2bo$24bo20bo5bo11bo4bo12b2obobo9bobob2o14bo34bob4obo11b2ob2ob
2o7b2o3b2o7bobo2b2o2bobo6bo9bo9bo9bo72b2o6b2o20bo10bo11b2o5b2o10b2o5b
2o36bob2obo12b2obo2bo45b3ob3o12b2ob2o30bob2obobob2obo9bobobobobobo8bo
4b2o4bo5bo3bobo3bo31bobo$63bo4bo11b2o2bo13bo2b2o10bo20b2o4b2o10bo4bo
15b2o11b2ob2o9b3ob2ob3o6bo2bo5bo2bo7bo2bo5bo2bo11b2o4b2o14bo4bo14bo6bo
9bo10bo19bob3o2b3obo10bo9bo8bo9bo36bo2bo65bobobobo12bo3bo11b3o5b3o8b2o
b2o3b2ob2o9bobo5bobo13b2o10b3o5b3o28bo2bobo$44bo7bo29b2o3b4ob4o3b2o34b
o4bo9bobo4bobo9bo8bo8bobo8b2o10b2o4b2obo5bob2o7b2obo5bob2o12b2o2b2o15b
2o2b2o14b2o4b2o10bo8bo24bo2bo14bo3b3o3bo8bo3b3o3bo34bo6bo63bo5bo11bo5b
o9bob2o5b2obo8b3o5b3o9bob2obobob2obo7b3o6b3o7bo5bo10bobo19b2o$45bo5bo
31bo3bob2ob2obo3bo36bo2bo11bo2b2o2bo12bo4bo9bo3bo11bo4bo10b3o3b3o11b2o
5b2o16b2o17bo4bo14bo6bo10bo8bo20bo10bo12bobobobo12bobobobo35bo8bo61bo
2bobo2bo10bo5bo11bo7bo10b2o7b2o10bobobobobobo8bo2bo4bo2bo8bo3bo9b3ob3o
14bo3bo$45b2o3b2o30b2o2bobobobobobo2b2o35bo2bo11bob4obo10bo3b2o3bo7b2o
b2o11bob2obo10b2o5b2o11bobo3bobo15bo2bo15b2o4b2o10bob2o6b2obo6bobo6bob
o20b2obo2bob2o74b2obo2bob2o62b2o3b2o11bobobobo9bo3bo3bo3bo29bo9bo12b4o
10bo7bo8bo3bo19bo$81bo4bobo5bobo4bo49bo6bo11bobo2bobo7b2o3b2o9bobo2bob
o8bo9bo11bo5bo16bo2bo17bo2bo12bo3bo4bo3bo7b2o6b2o20bobobo2bobobo12bo5b
o12bo5bo37b2o2b2o66bobo29bo11bo6bobo9bobo7bo2bo5bo2bo10bob2obo10bo5bo
7bobo3bobo13bo$46bo3bo32b2obobo5bobob2o54b2o14bo6bo7bo5bo8b3o4b3o5bo3b
2o3b2o3bo11bobo17bo4bo15b2o2b2o12bobo6bobo39bo8bo13bobobobo12bobobobo
108bo3bo12bo5bo13bo3bo11bob3o3b3obo8bo11bo40b3o3b3o13bob2o$47bobo31bo
3bo11bo3bo84bo3bo9bob2o2b2obo5bobobobobobobobo4b3o11b3o8b3o4b3o13bo4bo
11b2o3bo2bo3b2o9bo4bo22b2o2bo2bo2b2o11bobo3bobo10bobo3bobo36b2o2b2o79b
o2bo5bo2bo7bo2bo3bo2bo13bobo16b3ob3o13b2o2b2o11bo3bo10bo3bo$47bobo33b
2o4bo3bo4b2o86b2ob2o11bo4bo8b2o3bobo3b2o5bobob3o3b3obobo8bobo4bobo13bo
4bo12b2o2bo2bo2b2o10b2o2b2o44bo9bo8bo9bo34b3o2b3o78bobo7bobo10bo3bo11b
o2b2o3b2o2bo13bobo14b3o2b3o6b2ob2o3b2ob2o6bo3bo$47bobo134bo7bo7b3o4b3o
31bobo37bo2b2o2bo12b3o4b3o10bo6bo21b2o8b2o8b2o3bo3bo3b2o4b2o3bo3bo3b2o
33bo4bo100bobo3bobo9b3o7b3o10bobo3bobo26b2o7b2o6bo5bo$82b4ob3o3b3ob4o
83b2obobob2o23bo11bo9bo7bo15b4o15bo6bo11bob3o2b3obo9bo6bo23b2o4b2o11bo
11bo6bo11bo32b2o6b2o77b3o7b3o9bo5bo8bobo11bobo9bo5bo11bo8bo9bo3bo9bo5b
o$87bo7bo90bo3bo8bobo6bobo4bo13bo9bo5bo14bo6bo32bob2o4b2obo8bobo4bobo
24b4o15bobo3bobo10bobo3bobo34b2o6b2o77bobo7bobo8b2o5b2o7b2o13b2o9bo5bo
11bobo4bobo23b2o3b2o$84bo2b2o5b2o2bo86b2o3b2o8b2o6b2o5bo13bo9bo5bo17b
2o15bo8bo13bob2obo11bobo4bobo43b2o5b2o10b2o5b2o34bo8bo99bo5bo13bo5bo
13bo7bo9bob2ob2ob2obo21bo7bo$84bo2bo7bo2bo85bo7bo65b2o8b2o9bo10bo9bo2b
o4bo2bo40bo6bo14b2o3b2o12b2o3b2o33bo12bo75bo11bo9bob3obo12bob2ob2obo
12bo7bo8b2o3b4o3b2o$86b3o5b3o90bobo25bobo9bobo9bobobobo13b2o6b2o9bobo
8bobo8bo10bo7bobo6bobo22bob2obo14b2o5b2o10b2o5b2o122bob2o3b2obo10b2o3b
2o12bo2bobo2bo33bo4bo24bobo3bobo$83bo5bobobo5bo115b2ob2o5b2ob2o10bo3bo
16bo4bo11bobo8bobo10b2o4b2o10b2o6b2o21bob2o2b2obo13b2o3b2o12b2o3b2o
126bo3bo12bo7bo11bo2bobo2bo13b7o12bo6bo24b2o3b2o$83bo6bobo6bo117b2obo
3bob2o6b3ob2o5b2ob3o9bo6bo13bo6bo11bobo6bobo7bo2bo4bo2bo19b4o4b4o9b4o
5b4o6b4o5b4o123bo3bo29b4o7b4o31b4o24bo9bo$83bo3b2obobob2o3bo121bobo10b
2obo3bobo3bob2o9bo6bo12b2ob4ob2o11bo8bo42b6o14bob2ob2obo10bob2ob2obo
121b2ob2o3b2ob2o26b4obobob4o13b3o15bo4bo23bobo5bobo$82bobo2bo7bo2bobo
117bob2ob2obo9bo2bobobobo2bo10bobo4bobo13bo4bo12b4o4b4o9b2o4b2o25bo2bo
12bo13bo4bo13bo141bo3bo12b2o2bobo2b2o12b2o3b2o10bo10bo21bo7bo$83bo3b2o
5b2o3bo121bobo12bo2bo5bo2bo11bo6bo12b3o4b3o11b2o6b2o10bobo2bobo26b2o
13bobo2bo3bo2bobo4bobo2bo3bo2bobo119bob2obob2obo51bo2bo2bo13bo4bo23b2o
bo3bob2o$84bo2bobo3bobo2bo119b3o3b3o7bo3bo7bo3bo9bobo2bobo34b2o4b2o10b
o8bo24bo2bo13b2ob2o3b2ob2o6b2ob2o3b2ob2o121b3o3b3o13b3o13bo9bo11bobo3b
obo10bobo4bobo23bo5bo$83b2o2bobo3bobo2b2o159bo8bo13bob2obo14b2o4b2o13b
o2bo28b2o15b3obobob3o8b3obobob3o123bo5bo13bo3bo12bobo5bobo11bob5obo9b
2ob2o2b2ob2o22b2o3b2o$85bo11bo119bo9bo6bo15bo9bo6bo83bo2b4o2bo163b3o3b
3o9b3o5b3o9bo9bo12bobobobo9b2o3bo2bo3b2o$81b2o5b2o3b2o5b2o116bo7bo7b2o
13b2o9bobo2bobo11bo2bo4bo2bo10bo8bo11bo4bo26b4o17bo3bo14bo3bo125bo2b3o
2bo11bo5bo35bo3bo12bo8bo$82bo4b3o3b3o4bo117b2o5b2o32b2o6b2o9bobobo4bob
obo8b2o8b2o10b2o2b2o21bob2obo2bob2obo12bo3bo14bo3bo146b2ob2o15bo3bo17b
obo13bobo4bobo$84bobo2bo3bo2bobo117bo11bo5bo15bo9bob4obo10bobobo4bobob
o8bo2bo4bo2bo9bo2b2o2bo25bo2bo15b2o5b2o10b2o5b2o124bobobobo13b2ob2o14b
obobobo16bobo14bo6bo$216b2obo5bob2o31bobo2bobo15bo2bo17bo2bo14b2o2b2o
26b4o13bo2bobobobo2bo6bo2bobobobo2bo141b2o3b2o14bo3bo13b3o5b3o10b2o4b
2o$84bo3b2o3b2o3bo119bo7bo32bo2bo2bo2bo52b2o4b2o42bo2bobobobo2bo6bo2bo
bobobo2bo138bobo7bobo11bo3bo13b2o7b2o10bo6bo$88b3ob3o122b2o7b2o31b2o2b
2o2b2o13b2o2b2o14b2o4b2o9b2o8b2o41b2o7b2o8b2o7b2o141bo7bo9bo3bo3bo3bo
10bo7bo$83b2o5bobo5b2o116bo11bo31b2o4b2o14bob2obo14bo6bo61b2o3bobo3b2o
6b2o3bobo3b2o140b2o5b2o10bo2bo3bo2bo$83bobo3bo3bo3bobo119bo5bo35bo4bo
15bo4bo31bo10bo40bo11bo6bo11bo141bo5bo11bobo5bobo12bo5bo$83bo15bo181b
8o13bobo2bobo8bo2bo6bo2bo40bo9bo8bo9bo145bo14bo9bo11b2o2bo2b2o$259b2o
6b2o12bo6bo13bo6bo8bo2bo6bo2bo40b2o7b2o8b2o7b2o140bo9bo12bo3bo13bo9bo$
82bobo13bobo159b2o4b2o11bo2bo4bo2bo10b2obo2bob2o11bob2obo214b2o7b2o9bo
9bo13bo3bo$81b2obo13bob2o160bo2bo12b2o10b2o11b2o2b2o11bo2bo2bo2bo43bo
7bo10bo7bo143bo5bo11bo2b2ob2o2bo$80bo21bo178b3o2b3o32b2ob2ob2o43bo9bo
10bo5bo145bo3bo10bobo2bo3bo2bobo10bo5bo$83bo15bo182bo4bo13b2o6b2o12b4o
45b2o2bobo2b2o6bo2b2o5b2o2bo157bob3o3b3obo11bo5bo$80bo10bo10bo199b2o4b
2o13bo2bo46bo7bo10bo7bo142bobo3bobo8bo3bo5bo3bo11bo3bo$81bo2bo5bobo5bo
2bo202bo2bo14b2o2b2o44b2o7b2o9b2o5b2o142bobo3bobo$83b2o2b4ob4o2b2o219b
o2bo4bo2bo43b2o3b2o9b2o9b2o141b3ob3o12bo7bo12b2o5b2o$83b4o3bobo3b4o
273bo7bo10bo7bo142bo2bobo2bo9b2o9b2o13bobo$86bo2bo3bo2bo221bob3o4b3obo
43b2ob2o9b2o11b2o138bo9bo10bo7bo12bo7bo$84bob3o5b3obo222b2o4b2o44bo2bo
bo2bo8bo3bo3bo3bo138b4o5b4o8bo9bo9bo2bobobobo2bo$87bo7bo226bo4bo43bo2b
3ob3o2bo5bo4b2ob2o4bo141b2ob2o35bo5bo$86bobobobobobo226bo2bo46bo7bo12b
2ob2o144bo7bo10bo9bo10bo9bo$322b2o2b2o43b2obo5bob2o9b2o3b2o141b2obo5bo
b2o30b2o5b2o$322b6o43bobo7bobo5b3o9b3o140bo2bo2bo9bo2bo7bo2bo8b3ob3ob
3o$370bo13bo5b2o9b2o139b2o7b2o7bo13bo9b2o5b2o$321bo6bo41bo13bo6bo9bo
144b3o12bo11bo$320b2o6b2o43bo7bo8b4o2bo2b4o143bobo12bo11bo13bobo$318bo
2bo6bo2bo39b3o7b3o175bo15bo10b2ob2o$322bo4bo46bo5bo12bob3obo162b2o7b2o
12b3ob3o$321bobo2bobo46bo3bo11bo2bo3bo2bo159b2o9b2o11bobobobo$372b2o7b
2o8bo9bo158b2obo2bobo2bob2o10bo5bo$391bo2b2ob2o2bo182bo2bobo2bo$394b2o
b2o186b2o3b2o$587bobo$391b2obo3bob2o184bo3bo$392b2o5b2o$390bo2bo5bo2bo
$390b3obo3bob3o$395bobo$392b3o3b3o$394bo3bo$393bo5bo$393bo2bo2bo2$394b
o3bo$394bo3bo2$395b3o$394bo3bo$392bo7bo$390bo2b2o3b2o2bo$390b13o$395bo
bo$394bo3bo$393bo2bo2bo$390bobob2ob2obobo$392bo3bo3bo$392b3o3b3o$395bo
bo$394b2ob2o2$392b2o5b2o$393b7o$394bo3bo2$394bo3bo2$392bo7bo$394b2ob2o
$390b4o5b4o$392bo7bo$389bo3bo5bo3bo$391bobo5bobo$391bo9bo$392b2o5b2o$
391b3o5b3o$390bo2b2o3b2o2bo$390bo2b2o3b2o2bo$393bobobobo$389bo5bobo5bo
$390bo11bo$390bo3b2ob2o3bo2$389bob3o5b3obo$394b2ob2o$394bo3bo$390bobo
2bobo2bobo$391b5ob5o$391b2o7b2o$391bobo5bobo$392bo7bo$390bobo7bobo$
391bo9bo$390b2o9b2o$393bo5bo$393bo5bo$390b2obo5bob2o$389b4o7b4o$389b2o
11b2o2$390b4o5b4o$392bo7bo$391b2o3bo3b2o$394bo3bo$390bobobo3bobobo$
390bo2b2o3b2o2bo$391bo3bobo3bo$391b2o7b2o$393bo5bo$394bo3bo$394bo3bo$
394bo3bo2$394b2ob2o$395bobo$391bobo5bobo$392bo7bo$392bo7bo$393b2o3b2o
2$393b2o3b2o$391b2o7b2o$391b2o2bobo2b2o$389bo3b3ob3o3bo$391bo9bo$390b
3o7b3o$393bo5bo$390bo2bobobobo2bo$394bo3bo$394b2ob2o$390b2obo5bob2o$
390bo3bo3bo3bo$390b4o5b4o$389bo4bo3bo4bo$392b3o3b3o$391bo2bo3bo2bo$
395bobo$394bo3bo$394bo3bo$392bob2ob2obo$394b2ob2o$391bobo5bobo$391b2o
7b2o2$391bo2bobobo2bo$395bobo$393bobobobo$394b2ob2o$393b2o3b2o$393b2o
3b2o$391b3o5b3o$389b2obob2ob2obob2o$390bob2o5b2obo$392b2o5b2o$393bo5bo
$392bo7bo$394bo3bo$393bo5bo$391b2obo3bob2o$390bobo7bobo$389b2o4bobo4b
2o$389b2o4bobo4b2o$390bo3b2ob2o3bo$392bo7bo$395bobo$395bobo$395bobo$
391bobo5bobo$391bo3bobo3bo$391b3o5b3o$391bo2b2ob2o2bo$395bobo$390bo11b
o$390b2o9b2o2$392bo7bo$392bo7bo$393bo5bo$391bob2o3b2obo$395bobo$391bo
9bo$391b3o5b3o$394bo3bo2$392bo2bobo2bo$391b2o7b2o$390bo3bo3bo3bo$392bo
bo3bobo$391bo9bo$389bo13bo$391bo9bo$389b4o7b4o$391b2o7b2o$393bo5bo$
393bo5bo$391bobo5bobo!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found
here . Also check out my program
EPE , a tool for searching for patterns in various rulespaces.
77topaz
Posts: 1496 Joined: January 12th, 2018, 9:19 pm
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by 77topaz December 18th, 2019, 4:20 am
From wildmyron's apgsearch, here is a ship not yet in the collection, 2c/4 orthogonal:
Code: Select all
x = 10, y = 5, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
3o4b3o$bob4obo2$3b4o$2bo4bo!
wildmyron
Posts: 1572 Joined: August 9th, 2013, 12:45 amLocation: Western Australia
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by wildmyron December 18th, 2019, 4:27 am
77topaz wrote: December 18th, 2019, 4:20 am
From wildmyron's apgsearch, here is a ship not yet in the collection, 2c/4 orthogonal:
Code: Select all
x = 10, y = 5, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
3o4b3o$bob4obo2$3b4o$2bo4bo!
And also this p6 c/2:
Code: Select all
x = 10, y = 3, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
bo6bo$obob2obobo$2b2o2b2o!Edit : and a slightly narrower version of the p4 c/2
Code: Select all
x = 8, y = 5, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
3o2b3o$bob2obo2$3b2o$2bo2bo!
The
5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by speedydelete.
Semi-active here - recovering from a severe case of
LWTDS .
77topaz
Posts: 1496 Joined: January 12th, 2018, 9:19 pm
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by 77topaz December 18th, 2019, 4:00 pm
More from apgsearch, a tagalong for the second-smallest p2 c/2:
Code: Select all
x = 5, y = 6, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
2b3o$3bo$bo$b2obo$obo$o!
And a p2 c/2 not yet in the collection:
Code: Select all
x = 9, y = 3, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
3o3b3o$bob3obo$3bobo!
AforAmpere
Moderator
Posts: 1433 Joined: July 1st, 2016, 3:58 pm
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by AforAmpere December 19th, 2019, 4:59 pm
I stopped updating the collection a while ago, but I never posted it here. Here's an updated one with the two 2c/4's and the 3c/6:
Code: Select all
x = 2154, y = 228, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
2b3o4bo8b3ob3o9bo3b3ob3o3bo21bo4b3o4b3o3b3o4b3o5b3o6bo7bo7bob3obo7b3o
12b3o2b3o2b3o6bo6bo8bo5bo8bo5bo14bo5b3o14b3ob3o13b2o12b3o2b3o5b3o4b3o
6bo6bo11b3o2b3o2b3o22bo16bo5bo7bo4bo7bo5bo6bo4bo8b3ob3o5b3o3b3o6b3o3b
3o9bo4bo8b3o6b3o6b3o4b3o7bo7bo8b3ob3o10bo4bo9b3ob3o8bo3bo8bo3bo5b3o8b
3o8bo5bo10bo5bo10b3ob3o11bo3bo12bo3bo12bo4bo16bo3bo15bo3bo15bo4bo13b3o
4b3o10b3o6b3o7b3o6b3o10bo12bo3bo14bo3bo16bo13b3o7b3o11bo3bo15bo3bo13b
3o5b3o16bo15b3ob3o11bo7bo12bo7bo11bo7bo12b3ob3o10bo9bo12bo16bo7bo13b3o
2b3o12bo7bo16bo16b3o5b3o10bo7bo16bo15b3ob3o8bobo10bo9b3o13bo3b3ob3o3bo
6b3o11b3o8bo4bo14bo3bo17bo17b3o16bo3bo21bo21bo20bo17bo5bo12bo5bo13bobo
3bobo14bo3bo19bo23bo10bo10bo12bo17bo19bo15bo5bo19bo21bo18bo16b2o3b2o
16bo18b2o12b2o3b2o9bo3bo27bob4o24b2o32b2o29b2o38b3o13bo15bo$3bo4bobo7b
obobobo8b2o2bobo3bobo2b2o19bobo4bo6bob3obo5b2o6b2o6bobo5bobo5bob2ob2ob
o7bo6bo7bo4bo4bo6bobo4bobo6bobobobobo6bobobobobo12bobo4b2o16b2ob2o7b3o
3bo2bo3b3o6bob2obo7bob4obo6bobob2obobo7b3o4b2ob2o4b3o18bobo69bobobobo
5bobo3bobo6bobo3bobo23bobob4obobo6bobo4bobo6bobo5bobo7bobobobo9bobo2bo
bo8bobobobo7bobobobo17bobo8bobo7bobo3bobo8bobo3bobo9bobobobo10bobobobo
10bobobobo10bobo2bobo74bobo4bobo10bobo6bobo7bobo6bobo23b2ob2o14b2ob2o
30bobo7bobo11b2ob2o14bobobobo12bobo5bobo15bobo14bobobobo51b2o7b2o11bob
obobo9b2o9b2o10bobo14bobo5bobo10b3o2b2o2b3o9bobo5bobo32bobo5bobo9b2o7b
2o31bobobobo7bo24bobo11b2o2bobo3bobo2b2o6bobo9bobo28bobobobo15bobo16bo
bo63bobo35b2obo3bob2o8b2obo3bob2o10bo9bo12bobobobo237bobo15b2o2b2o12bo
bo9b2obobob2o23b2o2bob3o21bo3bo29bo3bo26bo3bo35bo3bo14bo15bo$bo5b2o10b
o3bo9b6o5b6o28bo6bobo9b2o6b2o6b2o6b2o6bo3bo11bo3bobo25b2o2b2o11bobo12b
obo14b2o8b2o4bo7b2o5b2o6bob4o2b4obo36b2o2b2o9bo2b3ob2ob2ob3o2bo13b5obo
b5o9bobo3bobo5bobo2bobo5bobo3bobo4bobo2bobo8bo3bo7bo5bo8bo5bo9bobo2bob
o41bobo5bobo23bobo2bobo9bo3bo9bo3bo7bobobobo5bo10bo8bobo3bobo8bobo3bob
o26bobobobo10bobobobo10bobo2bobo14bobobobo13bobobobo13bobo2bobo13bo6bo
12bo8bo29bo13b2ob2o14b2ob2o10bo4bobo4bo9bo7bo13b2ob2o14bobobobo15bo3bo
12b3o3bobo3b3o7bo7bo9bo4bo4bo10bo9bo9b3o5b3o10bo7bo8b3o7b3o10bobo14bob
o5bobo11bo8bo10bobo5bobo13bo3bo16bo5bo11b3o5b3o13bo3bo12bo7bo15bo2bo3b
o2bo19b6o5b6o29bo2b2o2bo13b2ob2o14bobobobo11bobo3bobo12bobobobo39bobob
obo34bo7bo10bo7bo35b2ob2o41bo2bo8bo12bo66bo3bo38bobobobobo30bo2bobo2bo
11b2ob3ob2o12bo4bo9bo2bobo2bo7bobobobo23b2o4bob2o20bobo3bo27bobo3bo24b
obo3bo35bob2o11bo17b2o$bobo3b2obo8bo3bo13b2o5b2o29bob2o17b2o6b2o5bob2o
4bob2o19bob2o2b2o7bobo2bobo2bobo5bob2o2b2obo6bobobobobo6bobobobobo11b
2obo5b2o4bobo7b2o3b2o9bo3b2o3bo11b2o11b4o25bo3bo9bo3bo11b2ob2ob2ob2ob
2ob2o22bo4bo7bo5bo6bo4bo9bo3bo7bo5bo8bo5bo8bobo4bobo10bo2bo10bobo4bobo
24bobobobo26bo3bo9bo3bo8bo3bo6bo10bo43bobobobo67bo3bo15bo3bo13bobo4bob
o12bo6bo12bo8bo8bobo6bobo11bo10b2o3b2o12b2o3b2o8bobo2b2ob2o2bobo9bo5bo
13b2o3b2o13bobobobo32bobo2bo3bo2bobo27bo5bo14bo5bo12b2o5b2o29b2o7b2o6b
o3bo3bo3bo11bo5bo13bobo4bobo13bo3bo17bobo18bo3bo13b2o5b2o15bobo38bo7bo
11b3o10b2o5b2o14bo5bo12b2o4b2o9b3o7b3o9bo7bo10bo2bobo2bo9bo2bo5bo2bo
14b3ob3o14bo7bo13b3ob3o17bo18bo20bo14b3o7b3o12b3ob3o18bo14bo6bo8bo2bo
5bo2bo5bo2bo5bo2bo7bo2bo5bo2bo8bo7bo12bo2bo5bo2bo9b2ob3ob3ob2o7b4obob
4o10bo2bobo2bo9b3o3bo3b3o9bobo2bobo11bobo12b3o23bo2b3o3bobo16bobo3b2o
3bo22bobo3b2o3bo19bobo3b2o3bo31b2o37bo$2b2o5b2o7bobobobo9b2o11b2o28bo
17bob2o4bob2o4b2o6b2o9bobo11bo14b2o5b2o7b2o6b2o9bobo12bobo16b2o4bob2o
2b2o8b2obobob2o9bobo2bobo11bo2bo9bo4bo24bo4bo7bo4bo11b3ob2o5b2ob3o13bo
bo6bo4bo7bo5bo6bo4bo8bobobobo5bobo3bobo6bobo3bobo5bo2bo2b2o2bo2bo5bobo
4bobo24bo7bo25bo4bo9bobobobo7bobobobo7bo3bo5bobo8bobo8bo5bo10bo5bo28bo
3bo12bo3bo12bo4bo16bo3bo15bo3bo11bo2bo2b2o2bo2bo9bobo4bobo10bobo6bobo
44bo18bo11bobo9bobo32bo18b3o14b2o7b2o12bobo3bobo71bo5bo31bo7bo6bobo2bo
3bo2bobo8bo9bo15b2o17bo3bo16bo3bo36bo5bo15bo3bo52bobo2bobo7b2o11b2o9bo
9bo28b2ob5ob2o10bobo3bobo10b2o5b2o11b2o5b2o14bo2bo3bo2bo12bobo3bobo11b
o2bo3bo2bo11bo7bo10bo7bo11bobo5bobo10b2ob5ob2o11bo2bo3bo2bo17bo12bob6o
bo8bo3b3o3bo7bo3b3o3bo9bo3b3o3bo8b2o3bo3b2o12bo3b3o3bo11bo2bo3bo2bo7bo
bobo3bobobo10b2o3b2o11bo3bobo3bo11b2o2b2o12bobo37bo2bobobo2bobo14bo2bo
2b2o2bo2bo20bo2bo2b2o2bo2bo17bo2bo2b2o2bo2bo33bo31bo2bobo$bo4bobo31bob
o54b2o6b2o6bobo5bobo6bobo9bo5bobo8b2obobob2o9bo4bo8bo3bo3bo6bo3bo3bo4b
3o5bo8b2o2b2obo6b2o5b2o9b2o4b2o56bo4b2ob2o4bo11b3o3b2obobob2o3b3o12bo
7bo4bo7bo2bo2bo6bo4bo23b3o12b3o10bo8bo8b3o2b3o8bo8bo6b3o5b3o9bobo11b3o
2b3o22bobobobo7bo3bo26b3o3b3o8b3o3b3o11bobo12b3ob3o10b3ob3o10b3o2b3o
15bo3bo15bo3bo13bo8bo50bo10bo58bo2bo3bo2bo8bo2b2o3b2o2bo48bobo2b3o2bob
o13bo3bo14b5o13bobobobo11b2o4bo4b2o9b3o3b3o13b5o11b3o5b3o5bobo3bobo3bo
bo7b2o3bobo3b2o11bo6bo11bo9bo14bobo15bo2b2ob2o2bo10b3o3b3o15bobo15b5o
34bobo17bobo17bobobobo13b2o2b2o12bo7bo10bobo5bobo7b2ob2o3b2ob2o9b9o17b
2ob2o14bobo5bobo13b2ob2o13bobo5bobo8bobo5bobo10bo2bo3bo2bo11bo7bo15b2o
b2o20bo136bobo17bo18bobo16b2ob2o15bo2bo10b3o3b3o34bo2b2o7b5o10bob2o2bo
6b3o18bob2o2bo6b3o15bob2o2bo6b3o26b3o36b2obo$o6bo9bo2bobo2bo11b2o5b2o
50bo7bo9bo7bo8bo10b4o2bo11b3ob3o8bo8bo6b2o2bo2b2o6b2o2bo2b2o5bo8bo4b2o
6b2o8bo3bo73b2o2bobo5bobo2b2o9bobo3bo2bobo2bo3bobo11bo9b4o8b3ob3o6b2o
2b2o7bo2bobo2bo6bo3bo10bo3bo7bo2bo2b2o2bo2bo5bo2bo2bo2bo7b2o6b2o6b2o7b
2o8b2ob2o11b2o2b2o8bo2bobo2bo18b3o3b3o5b2o6b2o10b2o3b2o10b2o3b2o11b2ob
2o12b2ob2o12b2ob2o12b2o2b2o15b2o3b2o13b2o3b2o10bo2bo2b2o2bo2bo8bo2bo4b
o2bo8bo2bo6bo2bo6b2o8b2o23b5o14b5o30b2o9b2o11b5o11bo3bo3bo3bo12bo3bo
14b4o3b4o7bo11bo11bobo14b5ob5o9bo2bo3bo2bo12bo3bo10bo2bo5bo2bo6bo9bo
12b2obob2o11bo2b3o2b3o2bo12bobo15bo2bobo2bo12b2o7b2o9bo2bo3bo2bo11bo2b
obo2bo50bobobo13b2o5b2o16bobo13b2obo2bob2o9b11o8bobo3bo3bobo7b3o2bo2b
3o32bo2bobobobo2bo9bobo3bo3bobo8bo2bobobobo2bo11bo5bo12bo5bo12bo2bo3bo
2bo10b11o10bo2bobobobo2bo14bo14bo3b2o3bo64bo5bo5bo36bo3bo29bo5bobo5bo
10bo3bo32bobo7bob4ob4obo22b2o8b3o14bobo8bo22bobo8bo19bobo8bo25bob2o31b
o3bo2bo$o6bo10b2o3b2o11b3o5b3o49bo7bo9bo7bo8bo9bob2ob2o14bobo13bo2bo
40bo3bo6b2obo4bo10bo3bo11bobo2bobo54bo2b4o5b4o2bo8bo21bo11bo21bobobo8b
o2bo9b2o3b2o7bo3bo10bo3bo8bob2o4b2obo10b2o77b2o3b2o6bobo3bobo19b2o4b2o
116b2o7b2o9b2o7b2o9bob2o4b2obo10b2o6b2o10b2o8b2o37b3o2b5o2b3o4b3o2b5o
2b3o7bob2ob2obo10b3o5b3o7b3o2b5o2b3o10bo3bo11bobo3b3o3bobo13b3o10b2o3b
obobo3b2o6bo3bobo3bo8bo2b3o3b3o2bo9b2o3b2o12bo2bobo2bo10b2o5b2o11bo3bo
11b3o3bobo3b3o11b2o2b2o13b2obobob2o11bo2b2ob2o2bo13b2o3b2o13b2o3b2o12b
o2b2ob2o2bo11bobobo32bobo15b3o5b3o33bob2obo33bo5bo13bo3bo11b2o9b2o15bo
bobo16bo5bo15bobobo13b2o2bobo2b2o8b2o2bobo2b2o10b2o2bobo2b2o35bobobo
21b2o10bo8bo12bobo15bobo17bobo12b2o7b2o15b2ob2o36b2ob2o16bobo16bo3bo
16b2o13bo3bo8bo7bo23b3o6b2ob2o15bo10bo22bo10bo19bo10bo21bo36bo3b3o3bob
o$2b3ob2o9bobo3bobo9b2ob2o3b2ob2o47bobo5bobo7b2o7bo7bobo8bo32bob8obo7b
o3bo10bo3bo7bobo3b5o5b2o5bo7bobobobo11bo4bo54b3o3b2ob3ob2o3b3o8bo5b4ob
4o5bo12b2o32b2o2b2o7bobo3bobo38b4o10bob2o2b2obo9b2o2b2o11bo3bo9b2o5b2o
7bo8bo6bobo3bobo6b2o3b2o5bobo3bobo3bobo2bo2bo2bobo6bo9bo6bo9bo7b2o5b2o
8bo7bo8bo7bo8bo8bo55b4o13bobo6bobo8bobo8bobo8b2o4b2o20bobo9bobo4bobo9b
obo6b4obob4o10bo3bo3bo8bobo9bobo5bo5b3o5bo8b2ob2ob2ob2o11bo4bo4bo6b2o
3b2ob2o3b2o7bo2bobo2bo9b3ob2o3b2ob3o9b2o3b2o15bobo14bo5bo12b2ob2o12bob
3o3b3obo8bo2bo6bo2bo9bo7bo11b2o7b2o12b2obobob2o12b2o3b2o12b2o7b2o11b2o
b2o32bobo14b2ob2o3b2ob2o13b2ob2o29b2o11b2o9b7o55bo2bobo2bo14b7o13bo2bo
bo2bo15bobo16bobo16bo5bo10b2o11b2o10bo2bobo2bo18b2o13b2o2b2o31b2ob2o
15b2ob2o13b2obob2o17bo3bo17b2ob2o14b2ob2o9bo4bobobobo4bo7bobo3bobo11b
2o4b2o11bobo41bo10bobo15bo7bo3bo21bo7bo3bo18bo7bo3bo19bobobo2bo32b3obo
3b2obo$2b2o31b4obobob4o57bo38b4o45bo3bo10bo3bo7b2o7b2o2bo6bo10bo5bo11b
o4bo55bo2bo3b2ob2o3bo2bo9b2obobo9bobob2o14bo18bobobobo5bobo2bobo20bobo
bobo8bobobobo26bob4obo9b2ob2ob2o7b2o7b2o7b2o3b2o10b2o2b2o22bo2bobo2bo
5b2o3b2o5bobo2b2o2bobo9b2o3b2o10b2o3b2o10b2o3b2o11b2ob2o12b2ob2o12b2o
2b2o13bo9bo9bo9bo71b2o6b2o22bo7bo10bo7bo9b4o3b4o30bo7bo10bo9bo10bo9bo
11bo9bo7b2o3bobo3b2o7b2obo3bob2o13bo3bo14bobobobo12bo2bobo2bo13b3o36bo
bo14bo10bo12bo3bo14b2o5b2o16bobo15bobobobo13b2o5b2o14bo51b4obobob4o14b
obo15bob2obo10bo3bobobo3bo26bo5bo5bo6bo4bo3bo4bo79bobo16bobo16b3ob3o
11bo3bobobo3bo37b2obo2bo45b3ob3o13b3ob3o9bob9obo15bobo18b2ob2o30bob2ob
obob2obo8bobobobobobo8bo4b2o4bo5bo3bobo3bo38bo10b2o13bo10bo2bo19bo10bo
2bo16bo10bo2bo19bobo36b3o6b3o$ob3obo13bobo14bobo3bobo148bobo12bobo10bo
2bo8bo2bo2b5o24bo4bo56b2o13b2o9b2o2bo13bo2b2o10bo22b2ob2o8b4o11bobo8bo
5bo8bo5bo9b2o4b2o10bo4bo13b2o10bo9bo9bobo13bo2bo12bobo23b2ob2o7b3ob2ob
3o11bo3bo12bo3bo13bobo14bobo14bobo14bo2bo13bo2bo5bo2bo7bo2bo5bo2bo10b
2o4b2o14bo4bo14bo6bo9bo10bo24bobo16bobo14b2o3b2o14b2ob2o16bobo13b2o2bo
bo2b2o12bobobobo16bo3bo13bo5bo11bo7bo11b2o2bobo2b2o10bo7bo10bo3bobo3bo
12bobo15bobo15b2o5b2o11bob3o2b3obo10bo2bobo2bo11bo9bo12bob2ob2obo11bo
7bo11bo9bo67bobo3bobo14bobobobo14bo2bo12b2o7b2o7b3o2bo3bo2b3o9bo3bo11b
ob2ob3ob2obo11bo4b3o4bo8b3o2bo3bo2b3o7bo4b3o4bo9b2obo3bob2o8b2obo3bob
2o9b2o2bo3bo2b2o9b2o7b2o10bo4b3o4bo67bobobobo13bobobobo11bo2bobo2bo38b
o3bo11b3o5b3o8b2ob2o3b2ob2o8bobo5bobo13b2o10b3o5b3o46bo17bo10b2o21bo
10b2o18bo10b2o18bo2bobo29bo4b2ob3o2bo3bo$2o3bo13b2ob2o154b4o12bobo12bo
bo10b8o4bobo6b2o5bo7bo72b2o2b2o5b2o2b2o11b2o3b4ob4o3b2o62b2ob2o39bo4bo
9bobo4bobo7bo8bo25bo3bo27b2ob2o9b2ob2o9bobo6b2o10b2o43bo3bo64b2obo5bob
2o7b2obo5bob2o11b2o2b2o15b2o2b2o14b2o4b2o10bo8bo21bo9bo8bo9bo9bo7bo13b
o3bo12bo9bo11bobobobo12bo2bo3bo2bo12bo7bo11b2o3b2o10bobo5bobo13bo3bo
13b3o3b3o10bo3bobo3bo29b2ob2o14bob2ob2obo15bo2bo16bo3bo13bo3b3o3bo13b
3ob3o12b3o3b3o11bo3b3o3bo13b2o74bobo3bobo11bo6bo28bo13bo4bobo9bobo6b2o
b3ob3ob2o10bobo2b2ob2o2bobo7bo13bo6bobo2b2ob2o2bobo7b3obo3bob3o6b3obo
3bob3o8bo4bobo4bo29bobo2b2ob2o2bobo66bo5bo13bo5bo9bo3b2ob2o3bo15bobo
17bo5bo9bob2o5b2obo8b3o5b3o8bob2obobob2obo7b3o6b3o7bo5bo10bobo23bo2bo
5b2o2bo2bo13b2o6bobo2bo20b2o6bobo2bo17b2o6bobo2bo19b2o31b2o9bob4o$2bo
2bo3b3o7b2ob2o14bo5bo148bo3bo10bo3bo21bobo2bo11bo5bo77bo7bo16bo3bob2ob
2obo3bo63b2ob2o8b2ob2o7bobo5bobo9bo2bo11bo2b2o2bo10bo4bo8bobo5bobo6bob
o3bobo8bobo2bobo9b2ob2o9b2ob2o8bo3bo9bo4bo11bobo3bobo8bobo3bobo10bo3bo
11bobobobo10bobobobo10bobo2bobo13b2o5b2o11b3o3b3o15b2o17bo4bo14bo6bo
10bo8bo22b4ob4o10b4ob4o10b3o3b3o13bo3bo13b4ob4o10b2o7b2o8b2ob2o5b2ob2o
10bo7bo10b2obobob2o10bo7bo11bob3ob3obo8bob2o5b2obo7b2o9b2o9b2o3b2o12bo
3bo11bo2b2o5b2o2bo8bo10bo13bobo16bobobobo16bo3bo14b2o3b2o14bobobobo16b
o53bo5bo13bobo5bobo9bo8bo29bo9bo7bo11bo8b4o3b4o12bo11bo10bo9bo9bo11bo
13bobo16bobo18bobo35bo11bo66bo2bobo2bo11bo2bobo2bo10b2o5b2o14b3o3b3o
14bo5bo11bo7bo10b2o7b2o9bobobobobobo8bo2bo4bo2bo8bo3bo9b3ob3o21bo6bob
2ob2obo14bo5b2ob2obo21bo5b2ob2obo9b2o2bobo2bo5b2ob2obo17bo3bo39b2obo$
2b7obo197b2ob2o23b8o7b2o3b2o76bo3b3o3bo14b2o2bobobobobobo2b2o64bo9bobo
bobo26bo2bo11bob4obo8bo3b2o3bo7bo7bo8bo5bo10bo4bo37b2ob2o9bob2obo12bo
5bo10bo5bo10bobobobo11bo3bo12bo3bo12bo4bo14bobo3bobo11b2o5b2o14bo2bo
15b2o4b2o10bob2o6b2obo6bobo6bobo58bo2bo3bo2bo51b3ob3o11bo2b2o3b2o2bo
14bobo14bo5bo11b2o5b2o11bo2bo3bo2bo9b2obo3bob2o7bo4bo3bo4bo26b2o3b2o
12bo9bo11b2obo2bob2o57bobo16bo3bo33bobob2o71bob3o5b3obo7b2obo2bob2o8b
3obo3bob3o8bo9bo7bobo7bobo9b2o5b2o13bobo7bobo10bo9bo9bobo7bobo8bo2bo5b
o2bo6bo2bo5bo2bo8bobo2bobo2bobo8b3obo3bob3o9bobo7bobo67b2o3b2o13b2o3b
2o10bo2bo3bo2bo14bo5bo15bobobobo9bo3bo3bo3bo28bo9bo12b4o10bo7bo8bo3bo
20b3o4bo2b2obob3o7bo2bobo4bo4bo18bo2bobo4bo4bo15b3o2bo4bo4bo25bo33bo2b
o5bobo$6bobo12bo188bo13b4o104bo5bobo5bo11bo4bobo5bobo4bo121bo6bo9bobo
2bobo7bobo2bo2bobo5bob2o3b2obo7bobo2bobo11bo23b2o3b2o7bobo2bobo10bobo
3bobo8bobo3bobo9b2o3b2o10bobobobo10bobobobo10bobo2bobo14bo5bo11bo9bo
13bo2bo17bo2bo12bo3bo4bo3bo7b2o6b2o61b3ob3o14bo3bo36b3o17bo3bo14bo9bo
11b5o11b2o2bobo2b2o11b2o5b2o8bo13bo11bobo15bo3bo34bo3bo13bobobo2bobobo
12b2ob2o15bo5bo17bobo17bobo16bo5bo11b2o2bob3o49b3o3b3o9b3o11b3o8b2o2b
2o10b2o2bo3bo2b2o8b2o7b2o9bo7bo9bo3bo3bo3bo34b2o7b2o31b3o5b3o8b3o5b3o
10bo2bo3bo2bo9b2o2bo3bo2b2o91bobo17bobo10b2o2bob3obo2b2o50bo11bo6bobo
9bobo6bo2bo5bo2bo10bob2obo10bo5bo7bobo3bobo31b2obo6b2ob2o6b4o5bo7b2o4b
o2b2o6b4o5bo10bobo4bo3b4o5bo18bo35b3o3bob2o$252bo3bo75bo2bo7bo2bo13b2o
bobo5bobob2o126b2o12bo6bo23bo9bo9bo2bo26b3o8bo5bo6b3o4b3o11bo3bo12bo3b
o28bo5bo10bo5bo12bo2bo18bobo11bo3b2o3b2o3bo10bo4bo15b2o2b2o12bobo6bobo
42bobobo13b2o3b2o10b2obo3bob2o11bobobobo12bo7bo15bo17b2o3b2o13b2o2bobo
2b2o11bo3bo11bo3bobo3bo51b2o5b2o30bobobo15b2o3b2o13bo8bo13bo3bo15bobob
obo16b2ob2o15bo3bo15bobobobo14bobo52bobo3bobo9b2o2bobo3bobo2b2o27bobob
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10bobobobo12bobo7bobo68bo3bo15bo3bo9b2o2bobobobo2b2o13bo3bo16bo5bo13bo
3bo11bob3o3b3obo7bo11bo40b3o3b3o18bo22bo17b2o10bo21b2o29b2o19bob2o34b
2obo$4bo233b4o11bobo78b2obo3bob2o13bo3bo11bo3bo156bo3bo7bo11bo5b2ob4ob
2o5b3o2bo2b3o19bo3bo7bob2o2b2obo43bo7bo60b3o11b3o4bobobobobobobobo8b3o
4b3o13bo4bo11b2o3bo2bo3b2o9bo4bo27bobo17bo14bobo3bobo12bobobobo11bo2bo
3bo2bo10bobo3bobo12bo7bo15bo3bo14bobobo15bobo34bo9bo11bo5bo12bobobobo
10bob2ob2obo32b2o2bo2bo2b2o13bobo15bobo3bobo15b2ob2o15bo3bo14bobo3bobo
13bobobo93b2o2b2o31bo9bo31bo3bo17bo7bo12bo9bo11bo7bo9bo13bo4bo13bo6bo
13bo31bo7bo87bo9bo12bobo16b2o7b2o10bo2bo5bo2bo7bo2bo3bo2bo13bobo15b3ob
3o13b2o2b2o11bo3bo10bo3bo17bo2bo4b3o7bo12bo4bo7bobo7bo3bo2bo3bo4bo7bob
o7bobo3bo5b2o7bobo54b3o2bo$253bobo81bo3bo18b2o4bo3bo4b2o156bo7bo5b2o9b
2o5b2o6b2o5bobo2bo2bobo6bo3bo8b2ob2o9bo4bo12b2o3b2o10b2o3b2o8b2o7b2o6b
obo5bobo6bobo5bobo7bo2b4o2bo8bobob3o3b3obobo5b2o3bobo3b2o9bobo4bobo13b
o4bo12b2o2bo2bo2b2o10b2o2b2o27bobo16bobo14bobobobo15bobo13bo9bo9b2o2b
3o2b2o11bobo3bobo13b2obobob2o47b3o9b3o9b3ob3o10bob2o5b2obo10bo3bo11b3o
3b3o12bo7bo34b2o3b2o12bo9bo12b3o3b3o11bobo3bobo11bo9bo14bobo92b3o2b3o
10bo9bo9bo9bo7bobo7bobo8bo9bo12bobo7bobo10bo9bo9bobo7bobo7b2o11b2o4b2o
11b2o29bo9bo10bobo7bobo106b7o14bobo5bobo10bobo7bobo10bo3bo11bo2b2o3b2o
2bo12bobo14b3o2b3o6b2ob2o3b2ob2o6bo3bo15b2o3bo4bo7b2o7b2o4bo23b2obo6bo
25b3o8bo63b5o$4bo248bobo78b2obo3bob2o203bo9bo8bo4bo11bobo9bo2bo2bo5bo
7bo5b3o4b3o10bo5bo10bo5bo10bo5bo8b2o7b2o6b2o7b2o11b2o19bobo56bo2b2o2bo
12b3o4b3o10bo6bo26bobo34b2ob2o12bo2b2ob2o2bo9bob2o3b2obo7bob2o7b2obo9b
obo3bobo34b5o13b2o3b2o11bobo7bobo28bo9bo9b2o5b2o12bobo14b3o5b3o10b2o8b
2o10bobo3bobo9b2o3bo3bo3b2o11bo5bo13bobobobo10b2o3bo3bo3b2o10b3o95bo4b
o12bo7bo10bo2bo3bo2bo28b2o7b2o13b2o7b2o10b2o9b2o9b2o7b2o9b2obo5bob2o6b
2obo5bob2o10b2o5b2o12bo7bo12b2o7b2o86bo9bo10bo5bo56bobo3bobo9b3o7b3o9b
obo3bobo26b2o7b2o6bo5bo17b6obo16bo4bob2o2bo7b2o8bobob2o4bob2o2bo7b2o
10bobo16b2o52b4obo4b2o$359b4ob3o3b3ob4o188b3o2b3o10bobo9b2o3b2o5b2obob
ob2o25b2o3b2o10b2o3b2o10bo2bo2bo10bo2bo2bo10bo2bo2bo8bobo2b2o2bobo11bo
7bo9bo11bo12b4o15bo6bo11bob3o2b3obo9bo6bo45bobo15b2ob2o15bobobo10bobo
9bobo5b3ob3ob3ob3o12bobo19bobo14b2obob2o13b2ob2o12b2obo5bob2o10bobobob
o10bobo3bo3bobo8b2o2bo2b2o11b2ob2o13bobo5bobo12b2o4b2o15bobo13bo11bo
10b2obo3bob2o10b2o5b2o10bo11bo13bo93b2o6b2o30b3o3b3o7bob2o7b2obo31b5ob
5o9b2o11b2o8b5ob5o12bo5bo12bo5bo11bo2bo5bo2bo31b5ob5o85bobo2b3o2bobo6b
o2b2obob2o2bo10bob3o3b3obo9b3o7b3o9bo5bo8bobo11bobo8bo5bo11bo8bo9bo3bo
9bo5bo19bo27bo3bo16b2o4bo6bo3bo23bo7b2o59bob2o3b3obobo$335b2o5b2o20bo
7bo195bo2bo25bobobo8bo3bo6bobo6bobo7b4o3b4o6b4o3b4o7bobo3bobo9bo5bo10b
o5bo9bo2b4o2bo13bo5bo9bo13bo9bo6bo32bob2o4b2obo8bobo4bobo79bobo5bobo
30bo2bobo2bo12bobo3bobo13b2obobob2o49bo2b2ob2o2bo8bo4bobo4bo11b2ob2o
12bo7bo8bob2o3b2obo12bo5bo16b4o13bo9bo11bobo3bobo12bo9bo10bobo3bobo12b
obo3bobo109b2o6b2o29b2o3bo3b2o8b2o7b2o9b2o7b2o15bo5bo14bo7bo13bo5bo12b
obo5bobo8bobo5bobo10bo9bo11bo7bo14bo5bo92bobo11b2o2bo3bo2b2o9b3o3b3o3b
3o8bobo7bobo8b2o5b2o7b2o13b2o8bo5bo11bobo4bobo23b2o3b2o19bo24bo6bo15b
5o2bo3bo6bo19b2o2bo4bo2bo62bo2b2o3bobo$335bo7bo17bo2b2o5b2o2bo206b2o3b
2o20b2o3b2o6b2o6b2o8b2ob2ob2ob2o6b2ob2ob2ob2o8bo5bo10bo5bo10bo5bo9bo2b
o2bo2bo13bo5bo9bo13bo12b2o15bo8bo13bob2obo11bobo4bobo80b2ob3ob2o8bo13b
o7bob2o3b2obo33bo7bo13bobo11b3o7b3o13bobo11bobo2b2ob2o2bobo8b2obobob2o
9bobo2bo2bobo5bo3b2o3b2o3bo10b3ob3o55b2o5b2o12bo9bo10bo7bo12b2o5b2o
109bo8bo29bo9bo9b3o3b3o10bob2o3b2obo15b2o3b2o17bobo16b2o3b2o12b2o7b2o
8b2o7b2o10b2o7b2o12b3ob3o15b2o3b2o88bo2bo3bo2bo9b2o5b2o12bob2o5b2obo
31bo5bo13bo5bo12bo7bo9bob2ob2ob2obo21bo7bo20bo22b2o6bo15bo9b2o6bo22b3o
bo2b2o62bob2obo$335bobo3bobo17bo2bo7bo2bo206bobobobo8bo3bo6bo7bo25bobo
bobo10bobobobo10b2o3b2o11bo3bo12bo3bo9b2o2b4o2b2o50b2o8b2o9bo10bo9bo2b
o4bo2bo101bobo11bob2o7b2obo11bobo13bo2b2o3b2o2bo11bo7bo13bobo11b2o2bo
3bo2b2o11bo5bo9bobo3b3o3bobo8bobo3bobo9bo9bo6bo2b2o3b2o2bo12b2ob2o15bo
6bo11b2o7b2o12b2o3b2o12b2o9b2o31b2o3b2o14b3o91bo12bo32bo15b2o3b2o10bob
o2bobo2bobo13bo7bo12b2obo3bob2o11bo7bo53b2o3b2o10b2o4b3o4b2o10bo7bo91b
obo16bobo16b3obobob3o10bo11bo9bob3obo12bob2ob2obo11bo7bo8b2o3b4o3b2o
48bo30bo31bo28b2o4bo63b3o$335bobo3bobo19b3o5b3o224bobo10bobo61bob2ob2o
bo9bo5bo10bo5bo10bobo2bobo14bobobobo9bobo9bobo8b2o6b2o9bobo8bobo8bo10b
o7bobo6bobo99bo7bo10bob2o3b2obo53bo5bo11bobo3bobo12b3o3b3o10b2o7b2o11b
o5bo14bobo14bo3bo13bo3bobo3bo13bob2obo11bo11bo10b2o5b2o11bo3bo3bo3bo8b
o9bo11b2o5b2o13bobo131b2o9b2o11bobo11bobob2obob2obobo10bobo2b3o2bobo
13bo3bo12bobo2b3o2bobo10b3o3b3o10b3o3b3o14bo3bo12b4o5b4o9bobo2b3o2bobo
107b2ob2o16bobo3bobo12bob2o3b2obo10b2o3b2o12bo2bobo2bo32bo4bo24bobo3bo
bo19bo27bob2o33bo27bo2bobo65bo$329bo5b2o5b2o5bo10bo5bobobo5bo267bobo
14bobo10bob2o3b2obo7bo2bobo2bo8bo2bobo2bo32bo3bo10b2ob2o5b2ob2o10bo4bo
11bobo8bobo10b2o4b2o10b2o6b2o100bo7bo11b2o5b2o55bo3bo9b2o11b2o9bobo3bo
bo11bobo3bobo32b2ob2o10b2o2bobo2b2o9bo4bobo4bo10bob2o2b2obo9b6ob6o11b
2o3b2o32bo3bo3bo3bo11b2o3b2o15bo132bo4bobo4bo10bo3bo14b7o15bo3bobo3bo
14bo3bo13bo3bobo3bo14bobo16bobo15bobo3bobo11bo9bo11bo3bobo3bo108bo3bo
15bob3ob3obo14bo3bo12bo7bo11bo2bobo2bo12b7o12bo6bo24b2o3b2o47b2o32bo
28bobobo$328bob4obo7bob4obo9bo6bobo6bo266bo3bo10bobo3bobo7b3obobob3o6b
o3bobo3bo6bo3bobo3bo8b3o2b3o9b3ob2o5b2ob3o6b2obo3bob2o11bo6bo13bo6bo
11bobo6bobo7bo2bo4bo2bo180bo9bo6bo2bobo3bobo2bo10bo5bo13b2o3b2o11b3o5b
3o11bo3bo12bo5bo14bo5bo12b4o4b4o9bobobobobobo9b4o5b4o9bo4bobo4bo7b2obo
bobobob2o8b4o5b4o12bo133b2o7b2o10b2o3b2o12bobo3bobo13b2o9b2o12bo5bo11b
2o9b2o9bob2o3b2obo8bob2o3b2obo10bo9bo11bo2b3o2bo11b2o9b2o103bobob2ob2o
bobo9b2o3bo3bo3b2o12bo3bo29b4o7b4o30b4o24bo9bo77b5o26bo$328bo2b2obo9bo
b2o2bo9bo3b2obobob2o3bo281bo7bo10bo3bo9b2obo3bob2o6b2obo3bob2o10bo2bo
11b2obo3bobo3bob2o10bobo15bo6bo12b2ob4ob2o11bo8bo220b2o5b2o33bobobobo
10bo2bo5bo2bo11bobo14b2ob2o17bobo17b6o12bob2o3b2obo11bob2ob2obo12bob3o
b3obo12b2ob2o14bob2ob2obo13bobo156bo16bo5bo15bo9bo13b2o3b2o12bo3bobo3b
o11b2o5b2o10b2o5b2o11b2o7b2o11b3o3b3o12bo9bo103bo4bo3bo4bo8bo3bo5bo3bo
8b2ob2o3b2ob2o26b4obobob4o12b3o15bo4bo23bobo5bobo112bo$330bo17bo10bobo
2bo7bo2bobo278bo11bo23bobo3bobo8bobo3bobo9bo6bo11bo2bobobobo2bo9bob2ob
2obo11bobo4bobo13bo4bo12b4o4b4o9b2o4b2o225bo3bo13bo2bobo2bo9bobo7bobo
11bobo14b2ob2o15b3ob3o16bo2bo14bo7bo9bo13bo9b2o7b2o10bo7bo9bo13bo13bo
220b3o17b2ob2o14bo7bo10bo7bo12bo7bo13b2o3b2o196bo3bo12b2o2bobo2b2o11b
2o3b2o10bo10bo21bo7bo80b2obo$333b2obo5bob2o14bo3b2o5b2o3bo297bo9bo6b2o
7b2o6b2o7b2o6b2o8b2o9bo2bo5bo2bo12bobo15bo6bo12b3o4b3o11b2o6b2o10bobo
2bobo285bobo16bo17bobobobo17b2o17b2ob2o11bobo2bo3bo2bobo12bo3bo13b3o3b
3o9bobo2bo3bo2bobo10bo172b2o2bo3bo2b2o14b2o3b2o18bo19bobo14b3o5b3o8b3o
5b3o10b3o5b3o10bo3bobo3bo13bo5bo129b2o9b2o10bob2obob2obo50bo2bo2bo13bo
4bo23b2obo3bob2o77bo2bo2bo$361bo2bobo3bobo2bo298b2o7b2o6b2o7b2o6b2o7b
2o7bo3b2o3bo8bo3bo7bo3bo7b3o3b3o12bobo2bobo34b2o4b2o10bo8bo344bo2bo14b
o2bobo2bo10b2ob2o3b2ob2o11b2obobob2o12bobobobo11b2ob2o3b2ob2o184bo4bob
o4bo14bobobobo36bobobobo12bobo5bobo8bobo5bobo10bobo5bobo9bo4bobo4bo13b
o3bo132bobo3bobo13b3o3b3o13b3o13bo9bo10bobo3bobo10bobo4bobo23bo5bo79bo
bobobo$332b2ob2o5b2ob2o13b2o2bobo3bobo2b2o299bo5bo10bo5bo10bo5bo11b2o
2b2o54bo8bo13bob2obo14b2o4b2o13bo2bo348b2o35b3obobob3o12bo7bo12bobobob
o12b3obobob3o190bobo20bo3bo17bobobo15bobobobo13bo7bo10bo7bo12bobo3bobo
10b2o2bo3bo2b2o150b3o3b3o14bo5bo13bo3bo12bobo5bobo10bob5obo9b2ob2o2b2o
b2o22b2o3b2o79b2o$336bo2bo2bo19bo11bo299bo9bo6b3o5b3o6b3o5b3o10bo2bo
11bo15bo6bo9bo11bo6bo403bo2b4o2bo10b2o7b2o33b2o5b2o10bobobobobobo207b
2ob5ob2o37bo5bo15bo3bo13bo3bobo3bo8bo3bobo3bo12b2o3b2o13b2o5b2o174b3o
3b3o9b3o5b3o9bo9bo11bobobobo9b2o3bo2bo3b2o106b3o$335bob2ob2obo14b2o5b
2o3b2o5b2o313bo7bo8bo7bo11bo2bo11b2o13b2o7bo7bo12bobo2bobo11bo2bo4bo2b
o10bo8bo11bo4bo346b4o15bobobobo15bo3bo17bo3bo36bo3bo189bo2bo3bo2bo13b
2o7b2o13bo5bo15bo3bo16b2ob2o14b2ob2o15bobobobo14bo5bo13b3obobob3o132b
3o16bo2b3o2bo11bo5bo34bo3bo12bo8bo109bo$334b2o3bo3b2o14bo4b3o3b3o4bo
334b3o13bo4bo34b2o5b2o11b2o6b2o9bobobo4bobobo8b2o8b2o10b2o2b2o341bob2o
bo2bob2obo11bo3bo16bo3bo16b3ob3o14bo3bo16bo3bo191bo5bo14bo2bo5bo2bo14b
3o16b3ob3o15b2ob2o14b2ob2o16b2ob2o34bob2obobob2obo131bobo37b2ob2o15bo
3bo16bobo13bobo4bobo$333bo11bo15bobo2bo3bo2bobo316bobo3bobo8bob2ob2obo
11b4o11bo15bo5bo11bo10bob4obo10bobobo4bobobo8bo2bo4bo2bo9bo2b2o2bo345b
o2bo17bobo15b2o5b2o15b2ob2o16bobo15b2o5b2o186b3obobobob3o11b5o3b5o32bo
b2ob2obo12bob2ob2obo10bob2ob2obo12bo7bo13bob3obo13bo3bobo3bo152bobobob
o13b2ob2o14bobobobo15bobo14bo6bo$332b2o2bo5bo2b2o382bo2bo33b2obo5bob2o
10bobo2bobo15bo2bo17bo2bo14b2o2b2o346b4o16bo3bo12bo2bobobobo2bo31bo2bo
bo2bo10bo2bobobobo2bo184b2ob2o3b2ob2o58b2ob2o16bo3bo14bo3bo14b2obobob
2o15bobo15b2obo3bob2o171b2o3b2o14bo3bo12b3o5b3o10b2o4b2o$339bo21bo3b2o
3b2o3bo351bo2b2o2bo33bo7bo11bo2bo2bo2bo52b2o4b2o364b2o3b2o11bo2bobobob
o2bo11bobo3bobo10bo3bobo3bo9bo2bobobobo2bo185bo9bo16bobobo17b2ob2o14b
2o5b2o12bobo3bobo10bobo3bobo13bobobobo14b7o14b2o5b2o169bobo7bobo11bo3b
o12b2o7b2o10bo6bo$331bo2bobo5bobo2bo17b3ob3o354bobo4bobo31b2o7b2o10b2o
2b2o2b2o13b2o2b2o14b2o4b2o9b2o8b2o361bo2bobo2bo11b2o7b2o12bo7bo14bobo
14b2o7b2o190bobo20b2ob2o13b3obo3bob3o10bob2ob2obo13bo5bo12bo5bo236bo7b
o9bo3bo3bo3bo9bo7bo$331bo2b2o3bo3b2o2bo12b2o5bobo5b2o349bobo4bobo30bo
11bo10b2o4b2o14bob2obo14bo6bo382b2o5b2o10b2o3bobo3b2o10bob2o3b2obo29b
2o3bobo3b2o187b3ob3o16bo3bo3bo12bobo2bo2bobo12bo2bo2bo14b2obob2o12b2ob
ob2o34bobobobobo10b2o4bobo4b2o168b2o5b2o10bo2bo3bo2bo$334bo9bo15bobo3b
o3bo3bobo351bob2obo35bo5bo14bo4bo15bo4bo31bo10bo359bo11bo8bo11bo10b2o
7b2o12b2ob2o12bo11bo210b2o5b2o36bo3bo17b3o16b3o17b5o16bo3bo13b3o7b3o
170bo5bo11bobo5bobo11bo5bo$334bobo2bo2bobo15bo15bo433b8o13bobo2bobo8bo
2bo6bo2bo359bo9bo10bo9bo10bo11bo11b2ob2o13bo9bo186b2o7b2o16b2ob2o17bo
3bo13bo9bo14bobo16bobo17b2ob2o14bobo3bobo12bo9bo174bo14bo9bo10b2o2bo2b
2o$336b2o3b2o445b2o6b2o12bo6bo13bo6bo8bo2bo6bo2bo380b2o7b2o11b4o3b4o
11bo5bo12b2o7b2o187bo7bo16bo5bo13bo9bo9bo5bo5bo10bo2bobo2bo10bo2bobo2b
o10bobo7bobo11bob3obo14b2o5b2o170bo9bo12bo3bo12bo9bo$336b3ob3o16bobo
13bobo411b2o4b2o11bo2bo4bo2bo10b2obo2bob2o11bob2obo364b4ob4o55b2obob2o
207bo13bo15bobo14bobo7bobo7b2obo7bob2o7bo2bo5bo2bo6bo2bo5bo2bo12b2ob2o
14bob2ob2obo15bo3bo172b2o7b2o9bo9bo12bo3bo$333bo3bo3bo3bo12b2obo13bob
2o412bo2bo12b2o10b2o11b2o2b2o11bo2bo2bo2bo365bobo15bo7bo16bobo14b2o5b
2o12bo7bo214b2ob2o13b2o9b2o11bo2bo2bo10bo2b2obobob2o2bo4bo2b2obobob2o
2bo7bo3b2ob2o3bo10b3o3b3o14bobobobo173bo5bo11bo2b2ob2o2bo$332bobobobob
obobobo10bo21bo430b3o2b3o32b2ob2ob2o365bo3bo13bo9bo13b3ob3o14b5o15bo5b
o214b2o3b2o14b3o3b3o14bo3bo14b2o5b2o10b2o5b2o9bo13bo32bo5bo174bo3bo10b
obo2bo3bo2bobo9bo5bo$331bo3b3o3b3o3bo12bo15bo434bo4bo13b2o6b2o12b4o
365bo2bobo2bo11b2o2bobo2b2o11b2o2bobo2b2o28bo2b2o5b2o2bo207bob2o5b2obo
12bob3obo15bo3bo11bob3obobob3obo4bob3obobob3obo9bo7bo15b3o18b5o191bob
3o3b3obo10bo5bo$329bobobo4bobo4bobobo7bo10bo10bo451b2o4b2o13bo2bo364bo
b3ob3obo11bo7bo13b2o5b2o12bobobobo13bo7bo209bo13bo11bo5bo14bo5bo10b2o
2bobobobo2b2o4b2o2bobobobo2b2o7b2o2b2ob2o2b2o14bo17b2o5b2o171bobo3bobo
8bo3bo5bo3bo10bo3bo$333bo3b2ob2o3bo12bo2bo5bobo5bo2bo454bo2bo14b2o2b2o
367bobo14b2o7b2o14b2ob2o15bo3bo14b2o5b2o234b2o5b2o11bobo5bobo13bo3bo
14bo3bo14b2o5b2o11bob3ob3obo12b2o5b2o171bobo3bobo$328bobo17bobo9b2o2b
4ob4o2b2o471bo2bo4bo2bo383b2o3b2o36bo3bo12b2o9b2o233bo5bo14bo5bo55bo3b
o14bo2bobo2bo14bo5bo173b3ob3o12bo7bo11b2o5b2o$332b3o9b3o13b4o3bobo3b4o
865bo7bo15b2ob2o15bo3bo14bo7bo254bo9bo69bobo2bo3bo2bobo190bo2bobo2bo9b
2o9b2o12bobo$331bobo11bobo15bo2bo3bo2bo473bob3o4b3obo383b2ob2o15b2o5b
2o13bo3bo11b2o11b2o251bob2o3b2obo12b2o3b2o13b2ob2o14b2o5b2o14bo3bo17bo
3bo172bo9bo10bo7bo11bo7bo$328bob2o15b2obo10bob3o5b3obo474b2o4b2o384bo
2bobo2bo11bo2bobobobo2bo8b2obo3bob2o9bo3bo3bo3bo252b2o7b2o12bobobobo
12bobobobo14bo5bo16bobo194b4o5b4o8bo9bo8bo2bobobobo2bo$364bo7bo478bo4b
o383bo2b3ob3o2bo9bo2bo5bo2bo7bo4bobo4bo7bo4b2ob2o4bo311bo11bo12bo3bo
18b3o176b2ob2o34bo5bo$328bo21bo12bobobobobobo478bo2bo386bo7bo14bo5bo
12bo7bo14b2ob2o364bobo174bo7bo10bo9bo9bo9bo$851b2o2b2o383b2obo5bob2o9b
2o2bo3bo2b2o7b2obo5bob2o11b2o3b2o538b2obo5bob2o29b2o5b2o$851b6o383bobo
7bobo9bo3bo3bo3bo10bobobobo10b3o9b3o537bo2bo2bo9bo2bo7bo2bo7b3ob3ob3o$
1239bo13bo11bobobobo14bo3bo12b2o9b2o536b2o7b2o7bo13bo8b2o5b2o$850bo6bo
381bo13bo30bobo3bobo11bo9bo541b3o12bo11bo$849b2o6b2o383bo7bo16bobo14bo
7bo10b4o2bo2b4o540bobo12bo11bo12bobo$847bo2bo6bo2bo379b3o7b3o13b2ob2o
14bobobobo577bo15bo9b2ob2o$851bo4bo386bo5bo13bo3bobo3bo10bo2bobo2bo13b
ob3obo559b2o7b2o11b3ob3o$850bobo2bobo386bo3bo13bo4bobo4bo8b2o2bobo2b2o
10bo2bo3bo2bo556b2o9b2o10bobobobo$1241b2o7b2o13bo5bo15bobo14bo9bo555b
2obo2bobo2bob2o9bo5bo$1267bobo14b2o5b2o11bo2b2ob2o2bo578bo2bobo2bo$
1265b3ob3o10b3o7b3o12b2ob2o582b2o3b2o$1265bobobobo10b2o9b2o601bobo$
1304b2obo3bob2o580bo3bo$1283bo9bo11b2o5b2o$1284bo7bo10bo2bo5bo2bo$
1284b4ob4o10b3obo3bob3o$1284b2obobob2o15bobo$1285bo5bo13b3o3b3o$1284bo
7bo14bo3bo$1306bo5bo$1285bo5bo14bo2bo2bo$1285b3ob3o$1284b2o5b2o14bo3bo
$1284bobo3bobo14bo3bo$1285bob3obo$1283bo2b2ob2o2bo14b3o$1285b2o3b2o15b
o3bo$1282bo11bo10bo7bo$1303bo2b2o3b2o2bo$1285b2o3b2o11b13o$1284b4ob4o
15bobo$1284b4ob4o14bo3bo$1283b2o7b2o12bo2bo2bo$1287bobo13bobob2ob2obob
o$1284bo2bobo2bo12bo3bo3bo$1287bobo15b3o3b3o$1284bo2bobo2bo15bobo$
1284b3o3b3o14b2ob2o$1284bo7bo$1305b2o5b2o$1283b2o7b2o12b7o$1284bo7bo
14bo3bo$1285bo5bo$1285bo5bo15bo3bo2$1286bo3bo14bo7bo$1284b4ob4o14b2ob
2o$1303b4o5b4o$1284bob2ob2obo12bo7bo$1284b2obobob2o9bo3bo5bo3bo$1286bo
bobo13bobo5bobo$1304bo9bo$1305b2o5b2o$1286bo3bo13b3o5b3o$1287bobo13bo
2b2o3b2o2bo$1286bo3bo12bo2b2o3b2o2bo$1287bobo16bobobobo$1285bo5bo10bo
5bobo5bo$1284b2o5b2o10bo11bo$1282bo2b2o3b2o2bo8bo3b2ob2o3bo$1287bobo$
1302bob3o5b3obo$1286b2ob2o16b2ob2o$1307bo3bo$1285bo5bo11bobo2bobo2bobo
$1285bo5bo12b5ob5o$1284bobo3bobo11b2o7b2o$1284b2o5b2o11bobo5bobo$1283b
o9bo11bo7bo$1283bo9bo9bobo7bobo$1282b3obo3bob3o9bo9bo$1283bo2bo3bo2bo
9b2o9b2o$1286bo3bo15bo5bo$1286bo3bo15bo5bo$1284bobo3bobo10b2obo5bob2o$
1285b2o3b2o10b4o7b4o$1302b2o11b2o$1283b2o3bo3b2o$1303b4o5b4o$1283bob2o
bob2obo11bo7bo$1284bo2b3o2bo11b2o3bo3b2o$1283bo2bo3bo2bo13bo3bo$1283bo
b2o3b2obo9bobobo3bobobo$1283bob3ob3obo9bo2b2o3b2o2bo$1285bo5bo12bo3bob
o3bo$1285bobobobo12b2o7b2o$1306bo5bo$1285bo5bo15bo3bo$1287b3o17bo3bo$
1287bobo17bo3bo2$1285b2o3b2o15b2ob2o$1308bobo$1286bo3bo13bobo5bobo$
1305bo7bo$1285bobobobo13bo7bo$1286bo3bo15b2o3b2o$1286bo3bo$1286bo3bo
15b2o3b2o$1285bobobobo12b2o7b2o$1288bo15b2o2bobo2b2o$1286b2ob2o11bo3b
3ob3o3bo$1286b2ob2o13bo9bo$1303b3o7b3o$1284b3o3b3o13bo5bo$1283bobo5bob
o9bo2bobobobo2bo$1286bo3bo16bo3bo$1284b4ob4o14b2ob2o$1286b2ob2o12b2obo
5bob2o$1303bo3bo3bo3bo$1303b4o5b4o$1285b3ob3o10bo4bo3bo4bo$1285bobobob
o13b3o3b3o$1284bo7bo11bo2bo3bo2bo$1308bobo$1307bo3bo$1307bo3bo$1305bob
2ob2obo$1307b2ob2o$1304bobo5bobo$1304b2o7b2o2$1304bo2bobobo2bo$1308bob
o$1306bobobobo$1307b2ob2o$1306b2o3b2o$1306b2o3b2o$1304b3o5b3o$1302b2ob
ob2ob2obob2o$1303bob2o5b2obo$1305b2o5b2o$1306bo5bo$1305bo7bo$1307bo3bo
$1306bo5bo$1304b2obo3bob2o$1303bobo7bobo$1302b2o4bobo4b2o$1302b2o4bobo
4b2o$1303bo3b2ob2o3bo$1305bo7bo$1308bobo$1308bobo$1308bobo$1304bobo5bo
bo$1304bo3bobo3bo$1304b3o5b3o$1304bo2b2ob2o2bo$1308bobo$1303bo11bo$
1303b2o9b2o2$1305bo7bo$1305bo7bo$1306bo5bo$1304bob2o3b2obo$1308bobo$
1304bo9bo$1304b3o5b3o$1307bo3bo2$1305bo2bobo2bo$1304b2o7b2o$1303bo3bo
3bo3bo$1305bobo3bobo$1304bo9bo$1302bo13bo$1304bo9bo$1302b4o7b4o$1304b
2o7b2o$1306bo5bo$1306bo5bo$1304bobo5bobo!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found
here . Also check out my program
EPE , a tool for searching for patterns in various rulespaces.
