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Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Spaceship Discussion Thread

Postby velcrorex » March 19th, 2016, 4:41 pm

codeholic wrote:Are there any other c/6 orthogonal spaceships known except 114P6H1V0, 274P6H1V0, 56P6H1V0, Dragon and their variants, mentioned in the wiki?


There's a few pushalong components for 114P6H1V0 not mentioned in the wiki:
x = 63, y = 60, rule = B3/S23
27b5o$26bo2bo2bo$26b2obobo$30bo$29bo$28b2o$28b2obo$29bo$30bobo$31bo2$
29b3o$4b3o20b2ob2o$7bob3o15b2obo$3bo3bo18b2o2bo$3bo3bo20bo18b3o8b3o$
27bo5bo12b2ob2o6b2ob2o$7bo24b3o12bobo8bobo$5b2o20b3o17bo12bo$5bo23b3o
15bob4o2b4obo$6b3o21b2o14bo2b2ob4ob2o2bo$5bobobo20b5o17b4o$6bob3o21bo
15bo10bo$8bobo21bo12b3o2bo6bo2b3o$8b2o22bo16bo3b2o3bo$7bobo21bo17bobo
4bobo3$4bo6bo15bo6bo15bo6bo$3bobob2obobo13bobob2obobo13bobob2obobo$3b
2o2b2o2b2o13b2o2b2o2b2o13b2o2b2o2b2o$7b2o21b2o21b2o2$5b2o2b2o17b2o2b2o
17b2o2b2o$5b2o2b2o17b2o2b2o17b2o2b2o$6b4o19b4o19b4o$6bo2bo19bo2bo19bo
2bo$5bo4bo17bo4bo17bo4bo$5bo4bo17bo4bo17bo4bo$5bob2obo17bob2obo17bob2o
bo$6bo2bo19bo2bo19bo2bo$6bo2bo19bo2bo19bo2bo2$o14bo7bo14bo7bo14bo$2o4b
o2bo4b2o7b2o4bo2bo4b2o7b2o4bo2bo4b2o$o5b4o5bo7bo5b4o5bo7bo5b4o5bo$b2o
4b2o4b2o9b2o4b2o4b2o9b2o4b2o4b2o$2bo10bo11bo10bo11bo10bo$obo10bobo7bob
o10bobo7bobo10bobo$b5o4b5o9b5o4b5o9b5o4b5o$3bo2b4o2bo13bo2b4o2bo13bo2b
4o2bo$2bo4b2o4bo11bo4b2o4bo11bo4b2o4bo$6bo2bo19bo2bo19bo2bo$7b2o21b2o
21b2o$4b2ob2ob2o15b2ob2ob2o15b2ob2ob2o2$3bo8bo13bo8bo13bo8bo$2b3o6b3o
11b3o6b3o11b3o6b3o$2bo2bo4bo2bo11bo2bo4bo2bo11bo2bo4bo2bo$b2o10b2o9b2o
10b2o9b2o10b2o!
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Re: Spaceship Discussion Thread

Postby codeholic » March 19th, 2016, 4:47 pm

Thank you! There is another c/6 orthogonal spaceship listed on LifeWiki:Spaceship Search Status Page (conceivably found by Matthias Merzenich?):
x = 19, y = 146, rule = B3/S23
6bo5bo$5bo2bobo2bo$4bo3bobo3bo$4bo3bobo3bo$4bob2o3b2obo$4bo4bo4bo$3bo
4bobo4bo$3bo11bo$5b2obobob2o$9bo$3b2o9b2o$3b3o7b3o$3bo3bo3bo3bo$4bo2bo
3bo2bo$4bo9bo$6b3ob3o$4bobo5bobo$4bo9bo$4bo9bo$6b3ob3o$6bo2bo2bo$5b2ob
3ob2o$4b2o7b2o$4b2o2bobo2b2o$2bo13bo$2bo2b4ob4o2bo$5bo2bobo2bo$bobo2b
2o3b2o2bobo$2bo3bobobobo3bo$7b5o$8b3o$9bo$6b3ob3o$3bo3bo3bo3bo$6bo5bo$
2bob2o7b2obo$2bo3b2o3b2o3bo$7bo3bo$bo5bo3bo5bo$bo3bo7bo3bo$o2bo11bo2bo
$bo4b2o3b2o4bo$2bo4b2ob2o4bo$4b3o5b3o3$2b3o9b3o$2b4o7b4o$2bo3bo5bo3bo$
6bo5bo$2bo13bo$2bo13bo$b2o13b2o$b2o13b2o$b2o2bo7bo2b2o$2b2o11b2o$3bo3b
o3bo3bo$4bo3bobo3bo$4bo3bobo3bo$3b2obobobobob2o$4bo9bo$5b2o5b2o$6b3ob
3o$9bo$7bobobo$8b3o2$7b2ob2o$7b2ob2o$4b2o7b2o$5b2obobob2o$6b3ob3o$6bo
5bo2$4b3o5b3o$4b2o7b2o$3bo3b2ob2o3bo$b4o9b4o$9bo$bo2b2obo3bob2o2bo$7bo
3bo2$3b3o7b3o3$5b3o3b3o$4bob3ob3obo$3bo4bobo4bo$4bobobobobobo$6bobobob
o$6bobobobo$4bobobobobobo$3b2o3bobo3b2o$3b2obobobobob2o2$3bobo7bobo$5b
ob2ob2obo$4b3o5b3o3$6bo5bo$5b2o5b2o$3b4o5b4o$6bo5bo$3bob3o3b3obo$4bo2b
2ob2o2bo$5bobo3bobo$3b3obobobob3o$4bo2b2ob2o2bo$8bobo$2bo13bo$2b2o2bo
5bo2b2o$7b2ob2o$4b3o5b3o$3b2obo5bob2o$2bo13bo$bo2bo3bobo3bo2bo$2bobob
3ob3obobo2$7bo3bo$5b4ob4o$4bo3bobo3bo$3bo11bo$3bo11bo2$3b2o2bo3bo2b2o$
2b3o2bo3bo2b3o$b2o4bo3bo4b2o$6bo5bo$5b2o5b2o$5bobo3bobo$8bobo$5bo2bobo
2bo$5b3o3b3o$4b3o5b3o$2b2obo7bob2o2$bo15bo$2bobo9bobo$4bo9bo$5bo7bo2$
4bob3ob3obo$4bo3bobo3bo$3bo3bo3bo3bo$5bo7bo!


EDIT:
velcrorex wrote:There's a few pushalong components for 114P6H1V0 not mentioned in the wiki

By the way, were they found by you?
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Re: Spaceship Discussion Thread

Postby velcrorex » March 19th, 2016, 4:56 pm

Yes, I found those. They are mentioned in various places in the thread here: viewtopic.php?f=2&t=1522&start=0

Edit:
Also possibly mentioned in the "Unsure discoveries" thead. It's hard to keep track of what's in there.
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Re: Spaceship Discussion Thread

Postby Sokwe » March 19th, 2016, 6:42 pm

Bullet51 wrote:A probably known c/4 orthogonal wave

I don't remember seeing it before. Two spaceships with fewer than 71 cells can be made from this reaction:
x = 31, y = 34, rule = B3/S23
3b3o17b3o$3b3o17b3o$2b2o18b2o$bo19bo$o3bo15bo3bo$bo2bobo14bo2bobo$5bob
o17bobo$2b3o17b3o2$7b3o$5b2o3bo14b3o$3bo21b3o$b2o3bo3bo13b2o$3bo2bo3bo
12bo$5b2o15bo3bo$6bo3bo12bo2bobo$6bo3bo16bobo$6b3o15b3o2$6b3o$6bo3bo
15b2o$6bo3bo14bo2b2o$5b2o18bo2bo$3bo2bo3bo18bo$b2o3bo3bo15b2obo$3bo23b
ob2o$5b2o3bo15b2ob2o$7b3o19bo$23b2o3bo$23bo$26bo$24bobo$24b2o3b2o$26bo
bo!


codeholic wrote:Are there any other c/6 orthogonal spaceships known except 114P6H1V0, 274P6H1V0, 56P6H1V0, Dragon and their variants, mentioned in the wiki?

Not already mentioned are these two tagalongs:
x = 70, y = 36, rule = B3/S23
56b3o4b3o$56b3o4b3o4$55b5o2b5o$59bo2bo$21bo6bo28bo2b2o2bo$20bobo4bobo
26b2o6b2o$20bobo4bobo25bo10bo$21bo6bo25bo12bo$5b2o$2bobo15b3o4b3o22b3o
12b3o$2obo3bo12b4o2b4o11b6o6b3o10b3o$2b5o16bo2bo13bo6bo7bo10bo$9b2o9b
3ob2ob3o9bo8bo6b3o6b3o$9b2o9b2o6b2o10bo2b2o2bo10bo4bo$11bo7b2o8b2o25bo
8bo$10bo2bo22b3o10b3o3bo2bo4bo2bo$14bo3bo12bo3bo3bo8bo3bobo2bo6bo2bo$
11bobo2bo2bo10bo2bo2bo14bo8b2o$16bo2bo10bo2bo4b2o8b2o4bo2bobo2bobo2bo$
60b2o$19b3o6b3o24b3o6b3o$19bo10bo25bo8bo$21bo6bo27bo8bo$19b3o6b3o23bo
3bo4bo3bo$54bo3bo4bo3bo$22bob2obo25bo2bo2bo2bo2bo2bo$23bo2bo$19bob2ob
2ob2obo$19b3o6b3o2$19bobo6bobo$19bobo6bobo$17b3ob3o2b3ob3o!

codeholic wrote:There is another c/6 orthogonal spaceship listed on LifeWiki:Spaceship Search Status Page (conceivably found by Matthias Merzenich?)

Yes, I found that ship. I originally posted it here.

moebius wrote:Here is the last posting I saw that you made of small c/4 ships with 9 added ships (60, 64x3, 65, 66, 67x2, 69).

Thanks! There were a few ships found since then, but all of the ones you posted are new. Here are three variants based on your new ships:
x = 31, y = 49, rule = B3/S23
9bo$9b2ob2o$5bobo2bo$2bo2bo6bo3bo$2o3b2o9b2o$2bo2b2o4b2obo10bo$4bo2bo
2bo3bo5bo2b3o$5b2o7bo5bo2b2o$10bo4b2o3bo$9b2o4bob3o$4bob2o3bo4b4o$4bo
3b2o2b2o3bo$4bob2o6$16b2o$16b4o$9bo5bo3bo$9b2ob2o2bo$5bobo2bo2bo3bobo$
2bo2bo7b3o3bo7bobo$2o3b2o14bo4bo2bo$2bo2b2o10bo2bo4bo3bo$4bo2bo7b2o3bo
2bobo$5b2o6bo8b2o2b2o$13bo11bo$13bobo10b2o$27b2obo$30bo5$12bobo$11bo2b
o11bobo$12bo12bo2bo$13b2o9bo3bo$ob2o9bobo7b2o$o3b2o5bobo8bob2o$ob2o6bo
2b4o2bo$5b3obo5b2o2b2ob2obo$6bob2o5b3o7b2obo$28bo$7bobo7bo$9b2obob3o$
12bo!

Here is the updated c/4 orthogonal collection (rearranged slightly):
x = 948, y = 585, rule = B3/S23
163bo$161b2o$163bo$165bobo$164bo2bo$30bo133bo2bo$28bo2b2o131bobo25bobo
$26b3o137bo25bo3bo$25bobo136b2o26bo4b2o12b2o$25bob2o135b2o28bo3bo2b2o
7b3o5bobo4b2o$obobo3bobobo11bo4bo110bobobo3bobobo15bob2o23b2o3bo10bo6b
o7bo2bo$23b2o142b2o43bo5bo2b3o5bo$4bo7bo127bo7bo42b4o18b2o5bo5bo2bo$
22bo4b2o138b2obo18b2obo2bo16b3o10b2o$obobo7bo13bo113bobobo3bobobo14b2o
bo18b4o2bo13bo2b2o4b2o$23b3o143bo8bo2b2o10bo15b2o4b2o$4bo7bo12bo118bo
7bo13bo2b2o7b2o2bo26bo3b2obo2bo$26bo140b3o8bo3b3o2b3o23b3o$obobo7bo12b
2o113bobobo3bobobo29b2obo2b2o23b2ob2obobo$26bo139bo16bo33bo3bo$26b2o
138b2o16b2o31bo$23bo2b2o137bo2b2o15bo3bo$21b2o3bo140bobo16bo2bo$23bo
139b2o3bo18bobo$164b3o$165b2o$168bo$166bobo$167bo6$35bo$26b3o4bobo$o3b
o4bo11bo2b2o4b2obobo126bobo$21b2o7bo131bo3bo19bo$o3bo4bo11bo3bo6b3o
127bo2b2o17bo2b2o$26b2o4bo2bo128bobo15b3o$obobo4bo21b2o2bo130bo14bobo$
28b3o4bo129b2obo12bob2o$4bo4bo25bo130bobo11bo4bo$34b2o128bo14b2o$4bo4b
o22bo2b2o103bobobo3bobobo10b2o$30b2o146bo4b2o$32bo107bo7bo13b2o2b2o14b
o$162b3ob2o11b3o$140bobobo3bobobo12bob2o12bo$164b2o16bo$144bo3bo3bo11b
o16b2ob2o$164bob2o12b2o2bo$140bobobo3bobobo11bo3bo11b2o3bo$164bo14bobo
3b2o$165bo13b2o4b2o$169bobo8b3obo$166b2o3bo9b2ob3o$30bo134bobo3bo7bo$
28bo2b2o132b2obo10bo$26b3o132bobo15bobo$25bobo133bo$25bob2o132bobo$o3b
o3bobobo11bo4bo$23b2o$o3bo7bo$22bo4b2o$obobo3bobobo13bo$23b3o$4bo7bo
12bo$26bo4bo$4bo3bobobo12b2ob2obo$24bo3bo$24b4o159bo$21bo3b2o153bobob
2obo25bobobo18bo24bo24bo24bo24bo$21b2o155bo3bobo26bo3bob2obo13bo2b2o
20bo2b2o20bo2b2o20bo2b2o20bo2b2o$21bo155bo32bo9bo11b3o22b3o22b3o22b3o
22b3o$176bo3b2o27bo3b2o16bobo22bobo22bobo22bobo22bobo$176bob2o29bob2o
18bob2o21bob2o21bob2o21bob2o21bob2o$140bobobo3bobobo24bo32bo19bo4bo19b
o4bo19bo4bo19bo4bo19bo4bo$175bo32bo20b2o23b2o23b2o23b2o23b2o$140bo11bo
21bobo30bobo$171bo2bobo27bo2bobo18bo4b2o18bo4b2o18bo4b2o18bo4b2o18bo4b
2o$140bobobo7bo17bobo30bobo26bo24bo24bo24bo24bo$169bo2bo29bo2bo23b3o
22b3o22b3o22b3o22b3o$144bo7bo17bo32bo27bo24bo24bo24bo24bo$161bo2b2o5b
2o21bo2b2o5b2o26bo12bo11bo24bo24bo24bo$140bobobo7bo8b2o2bo5bo22b2o2bo
5bo26b2o7bo2b3o10b2o7bo2b2o11b2o23b2o23b2o$74bo86bo3b3o2b2o22bo3b3o2b
2o27bo7bo2b2o12bo7bo2b3o11bo24bo24bo$37bobobo25bobob2obo90b2obo3bo25b
2obo3bo26b2ob2o3bo16b2ob2o3bo4bo11b2o23b2o23b2o$35bo3bob2obo20bo3bobo
94bo4bo27bo4bo24bo2b2obob3o14bo2b2obob3o14bo2b2o3bo16bo2b2o3bo16bo2b2o
$o3bo3bobobo21bo9bo19bo102b2o31b2o25b2o3bo3b4o12b2o3bo3b4o12b2o3bo3b4o
12b2o3bo3b4o12b2o3bo3bobo$33bo3b2o24bo3b2o99bo3bo28bo3bo23bo7bo16bo7bo
16bo5bob3o14bo5bob3o14bo8bo3bo$o3bo3bo24bob2o26bob2o102bo2bo29bo2bo79b
2o3bo4bo14b2o3bo19b2ob3obo$22b2ob2o7bo17b2ob2o7bo105bobo30bobo84bo2b3o
19bo2b2o15bo6bo$obobo3bobobo8b3o8bo18b3o8bo227bo2b2o20bo2b3o12bo6b3o$
22b2obo2bo2bobo18b2obo2bo2bobo256bo12b2o6bo$4bo7bo18bobo27bobo269bo$
26b2obo26b2obo$4bo3bobobo15b2o28b2o$28b3o27b3o$30bo2b2o25bo2b2o$32bo
29bo4$174bo$172bo2b2o$170b3o2$171b2o$166b4o2bo24bo35bo35bo35bo35bo34bo
13bo$163bob3o3b3o14b3o4bobo26b3o4bobo26b3o4bobo26b3o4bobo26b3o4bobo5b
2obobo14b3o4bobo5b2obob2obo$140bobobo3bobobo9b2o7b4o8bo2b2o4b2obobo21b
o2b2o4b2obobo21bo2b2o4b2obobo21bo2b2o4b2obobo14bo6bo2b2o4b2obobo3bo4bo
b2obo6bo2b2o4b2obobo3bo4bobo$174bo8b2o7bo26b2o7bo26b2o7bo11b2obobo9b2o
7bo11b2obob2obo6b2o7bo7bo10bo6b2o7bo7bo$140bo7bo3bo9bob2obo15bo3bo6b3o
22bo3bo6b3o22bo3bo6b3o5bo4bob2obo6bo3bo6b3o5bo4bobo9bo3bo6b3o3bo3b2o
12bo3bo6b3o3bo3b2o$27b3o23bo108b2o3bo20b2o4bo2bo26b2o4bo2bo26b2o4bo2bo
3bo10bo11b2o4bo2bo3bo22b2o4bo2bo3b3o19b2o4bo2bo3b3o$25b2o3bo21bobo85bo
bobo3bobobo14bo25b2o2bo31b2o2bo31b2o2bo3bo3b2o22b2o2bo3bo3b2o22b2o2bo
30b2o2bo$23bo27b2o109b2o26b3o4bo4b3o21b3o4bo4b3o21b3o4bo4b3o21b3o4bo4b
3o21b3o4bo27b3o4bo$21b2o3bo3bo22bo90bo3bo3bo9bo34bo3bo3b2o26bo3bo3b2o
26bo35bo35bo34bo$23bo2bo3bo22bo108b3o31b2o3bo10bo19b2o3bo30b2o34b2o34b
2o33b2o$o3bo3bobobo12b2o113bobobo3bobobo10b2o3bo25bo2b2o3bo4bob2obo17b
o2b2o3bo4bobo20bo2b2o31bo2b2o31bo2b2o30bo2b2o$26bo3bo21b2o115bo22b2o
10b2obobo18b2o10b2obob2obo15b2o34b2o34b2o33b2o$o3bo3bo17bo3bo19b2o114b
2o26bo35bo17bo17bo35bo35bo34bo$26b3o19b2o2bo112bob2o$obobo3bobobo35b3o
114b2o$26b3o8bo2b2o9b2o108bobo$4bo3bo3bo13bo3bo6b2o2bo119bo$26bo3bo6bo
3b3o2b3o112bobo$4bo3bobobo12b2o14b2obo2b2o$23bo2bo3bo11bo$21b2o3bo3bo
12b2o$23bo20bo3bo$25b2o3bo14bo2bo$27b3o16bobo5$181bo$180bobo$180bobo$
180bo2$180bobo2$178b3o$140bobobo3bobobo24bo$176b2obo$140bo7bo3bo27bo$
22b2o29b2o125bo$o3bo3bobobo8b3o20bo7b3o85bobobo3bobobo22bobo$22bo20bo
9bo15b2o101bob2o$o3bo7bo10b2ob2o15b2o9b2ob2o10b3ob2obo67bo7bo17b2ob2o$
28bo5bo6bo17bo5bob3o6bo93b2ob2o$obobo7bo10b2o7bobob3o6bo8b2o7bobo6bo
67bobobo3bobobo20bo$24bo6bobo4b3ob2obo9bo6bobo9b2o85bob2o6bobo$4bo7bo
12bo2bo9b2o16bo2bo14bo86bo3b2o$26bobobob2o23bobobob2o10bo85bob2o6bobo$
4bo7bo12b2o3bo25b2o3bo104b3ob2obo$27bo30bo108bob2o2$168bobo$170b2obo$
173bo9$26bo$26b2o$26bo$28bo$28bo$27b2o18bo$45b2o130b2o$29bo17bo129b4o$
o3bo3bobobo15bobo9bo8bobo88bobobo3bobobo17bo5bo3bo$27b4o9b2o6bo2bo118b
2ob2o2bo$o3bo3bo3bo10b2o2bo12bo7bo2bo88bo7bo3bo13bobo2bo2bo3bobo$23b2o
bobo13bo5bobo112bo2bo7b3o3bo$obobo3bobobo10b2o2bo14bo7bo89bobobo3bo3bo
8b2o3b2o14bo$22b2o17b2o120bo2b2o10bo2bo4b3o$4bo3bo3bo8bo17bo2bo2bobo
92bo3bo3bo3bo12bo2bo7b2o3bo2bob3o$21bo5bo9b2o6bob2o117b2o6bo8b2o$4bo3b
obobo9bob3o12bo5b4o91bobobo3bobobo21bo11bo$27bo13b4o129bobo10bobo$24b
4o18bo3bo137bo$24bo2bo18b5o$27bo19b2o$26bo$26bobo$26bobo$27bo12$164bob
o29bobo$162b2o3b2o27bo3bo$162bobo31bo4b2o$164bo33bo3bo2b2o$161bo37b2o
3bo$161b2o3bo$o3bo3bobobo127bobobo4bo19b2o24b4o$164b2o3bo23b2obo2bo$o
3bo3bo3bo127bo8bo15bobo4b2o19b4o2bo$165b7obo23bo$obobo3bobobo127bobobo
4bo14bo$165b7obo17b3o$4bo7bo127bo3bo4bo15bobo4b2o17b3o$164b2o3bo10bo2b
2o$4bo3bobobo127bobobo4bo19b2o9b2o2bo$161b2o3bo13bo3b3o2b3o$161bo22b2o
bo2b2o$164bo20bo$162bobo21b2o$162b2o3b2o18bo3bo$164bobo21bo2bo$189bobo
11$173bo$59bo111b2o96b2o31b2o$32b2o24bobo112bo94bo32bo5bo$31bo26bobo
114bobo15bo3b2o27bo3b2o35b2ob3o27b2ob3o2b2o$31b2o25bo115bo2bo13bo2b2ob
obo24bo2b2obobo31b7obo2b2o20b7obo105b2o34b2o$31b2o141bo2bo11b3o6bo3bo
19b3o6bo3bo5bo22bo3bo5bo22bo3bo108bobo4bo28bobo$26b4obo26bobo113bobo
11bobo7b7obo14bobo7b7obo2b2o15bo3bobo26bo3bobo35bo35bo36bo2bob2obobo
25bo2bob2obobo$23bob3o148bo11bob2o9b2ob3o2b2o10bob2o9b2ob3o17bo2b2ob2o
25bo2b2ob2o32bo3bo31bo3bo39b2o3bobo28b2o3bobo$obobo3bobobo9b2o7b2o23b
3o81bobobo3bobobo34bo4bo9bo5bo11bo4bo9bo19b3o30b3o30b3o4bobo2bo23b3o4b
obo2bo36b2obo32b2obo7bo$55bo117bobo10b2o15b2o14b2o15b2o16bobo30bobo26b
o2b2o4b2obobo3b2obo14bo2b2o4b2obobo3b2obo7bo20bo2bo32bo2bo$o7bo3bo9bob
2obo26b2obo82bo11bo16b3ob2obo77bob2o29bob2o25b2o7bo12b2o3bobo6b2o7bo
12b2o3bobo11b3o4bobo3bo22b3o4bobo3bo$22b2o3bo30bo111bob2obo9bo4b2o26bo
4b2o28bo4bo27bo4bo24bo3bo6b3o5bo2bob2obobo6bo3bo6b3o5bo2bob2obobo6bo2b
2o4b2obobo3bo17bo2b2o4b2obobo3bo$obobo3bo3bo14bo30bo81bobobo3bobobo14b
o2bobo16bo32bo29b2o31b2o34b2o4bo2bo7bobo4bo11b2o4bo2bo7bobo11b2o7bo26b
2o7bo$22b2o29bo111bo2bo2b2o13b3o30b3o104b2o2bo8b2o21b2o2bo8b2o11bo3bo
6b3o22bo3bo6b3o$4bo3bo3bo9bo29b2obo84bo3bo3bo15bo2bo2bo17bo32bo29bo4b
2o26bo4b2o32b3o4bo28b3o4bo26b2o4bo2bo26b2o4bo2bo$22b3o17bob2o118bo3bob
3o16bo32bo32bo32bo41bo35bo31b2o2bo31b2o2bo$obobo3bobobo10b2o3bo11b2o3b
o94bobobo3bobobo12b3obo2bo15b2o31b2o29b3o30b3o41b2o34b2o28b3o4bo28b3o
4bo$29bo12bobo6bobo111bobo21bo32bo31bo32bo39bo2b2o31bo2b2o34bo35bo$26b
2o18b3ob2o112b2o23b2o31b2o31bo32bo36b2o34b2o38b2o34b2o$25bob2o17b2ob2o
135bo2b2o28bo2b2o30b2o31b2o38bo35bo35bo2b2o31bo2b2o$25b2o21bobo110b2o
3bo17b2o3bo27b2o3bo32bo32bo108b2o34b2o$21bobo25b3o109bo24bo32bo35b2o
31b2o109bo35bo$21bo27b4o111bo87bo2b2o28bo2b2o$21bobo28bo109bobo85b2o3b
o27b2o3bo$162b2o3b2o83bo32bo$164bobo7$183bo$182bobo$24bo3bo153bobo$23b
ob2obo153bo$23bobo$24bo157bobo23bo36bo$22b2o183bobo34bobo$22b2o156b3o
24bobo34bobo$26bob2o149bo27bo36bo$25b2o9bobo25bobo111b2obo$obobo4bo26b
o27bo75bobobo3bobobo29bo24bobo34bobo$25b2obo7bobo2bo2bo19bobo2bo2bo
109bo$o8bo15b2obo10bo27bo72bo11bo24bo27b3o3b3o28b3o3b3o$27bo12bob2obo
22bob2obo102b2obo24bo5bo3b2o25bo5bo3b2o$obobo4bo14bo2b2o12b3obo23b3obo
66bobobo3bobobo50b2obo3bo29b2obo3bo10bo$25b3o12bo4bo2bob2o16bo4bo2bob
2o113bob2o10bo3bo4bobo11bob2o10bo3bo4bob2obo$4bo4bo27bo3b2o3bob4o13bo
3b2o3bob4o60bo3bo7bo22bobo13b2o3bo10bo5b2obob2obo6b2o3bo10bo5b2obobo$
24bo12b2o2bo2bob2o4bo12b2o2bo2bob2o4bo4bo86bob2o17bobo6bobo16bo8bobo6b
obo$obobo4bo14b2o11bo8b2o4bo2b2o8bo8b2o4bo2b3o54bobobo3bobobo17b2ob2o
22b3ob2o31b3ob2o$23bo2b2o14b2o3b2o3bo2b3o12b2o3b2o3bo2b2o85b2ob2o22b2o
b2o32b2ob2o$25bobo29bo115bo25bobo34bobo$21b2o3bo134bob2o6bobo26b3o34b
3o$22b3o136bo3b2o33b4o33b4o$23b2o136bob2o6bobo29bo36bo$26bo139b3ob2obo
$24bobo140bob2o$25bo$168bobo$170b2obo$173bo9$264bo$262bo2b2o$260b3o68b
o$259bobo60b3o4bobo$173bobo18bob2o7bo29bobo21bob2o44bo9bo2b2o4b2obobo
33bo36bo36bo36bo36bo36bo36bo36bo$176bo15b2o3bo4b2o3bo26bo2bo20bo4bo41b
2o10b2o7bo29b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo
27b3o4bobo9bo17b3o4bobo9bo$obobo3bobobo127bobobo3bo3bo18b2obob5o13bobo
3b3o2bobo6bo20bo12b2o7b2o38bo9bo9bo3bo6b3o20bo2b2o4b2obobo22bo2b2o4b2o
bobo22bo2b2o4b2obobo22bo2b2o4b2obobo22bo2b2o4b2obobo9bo12bo2b2o4b2obob
o9bo12bo2b2o4b2obobo9b2o4bo6bo2b2o4b2obobo9b2o$170b2o4b3o19b3o2bo3bo6b
2o20b2o10b2o38b3o4bobo11bo12b2o4bo2bo19b2o7bo27b2o7bo27b2o7bo27b2o7bo
27b2o7bo14b2o4bo6b2o7bo14b2o11b2o7bo10b2obobo2b3o6b2o7bo10b2obobo2b2o$
o11bo127bo7bo3bo10bo34b3o13bo8bob2o9bobo9bo7bo4b2o20bo2b2o4b2obobo10bo
18b2o2bo19bo3bo6b3o23bo3bo6b3o23bo3bo6b3o23bo3bo6b3o23bo3bo6b3o6b2obob
o2b3o6bo3bo6b3o6b2obobo2b2o7bo3bo6b3o6b3o2bo2b2o7bo3bo6b3o6b3o2bo2b3o$
161b2o3b3o2bo9bo34bo6bo3b2o5bobo8bo2bo11bo22b2o7bo8b3o4bobo13b3o4bo4bo
3bo15b2o4bo2bo27b2o4bo2bo27b2o4bo2bo4bo22b2o4bo2bo4bo22b2o4bo2bo5b3o2b
o2b2o12b2o4bo2bo5b3o2bo2b3o11b2o4bo2bo3b2o2bo19b2o4bo2bo3b2o2bo7bo$obo
bo3bobobo127bobobo3bobobo10bo2bo4bo7b2o2bo17bo9bo4bo6bob2o6bo2b4o2bo4b
o9b3o23bo3bo6b3o11b2o21bo3bobobobo19b2o2bo4bo27b2o2bo4bo27b2o2bo3bobo
26b2o2bo3bobo26b2o2bo3b2o2bo24b2o2bo3b2o2bo7bo16b2o2bo32b2o2bo$165b3o
10b3o3bo11b2o6b3o3b4ob2o11b3obo5b2o2b2ob3obo9bo28b2o4bo2bo2bo2bobo3bo
20b2o2bo2bobo3bo14b3o4bo3bobo23b3o4bo3bobo23b3o4bo29b3o4bo29b3o4bo29b
3o4bo29b3o4bo3bobo23b3o4bo3bobo$4bo3bo131bo3bo7bo16bo11bo15bobobo2bo4b
o6bo12bob2o5b3o6b2o12bo31b2o2bo3bobobobo20bo2b2o9b2o21bo36bo36bo3b2o2b
o28bo3b2o2bo7bo20bo3bobo30bo3bobo30bo4bo31bo4bo$168b2obo3bobo3bo3bo11b
o4bo3bo2bo5bo45bo28b3o4bo4bo3bo19b2o7b3o4bobo19b2o3b2o2bo27b2o3b2o2bo
7bo19b2o5b3o2bo2b2o20b2o5b3o2bo2b3o19b2o4bo30b2o4bo30b2o35b2o$obobo3bo
bobo127bobobo7bo16b4o3b2o3bo3bo11bo3bo6b2obo2bo15bobo7bo19bo8b2o26bo
30bo13bo19bo2b2o4b3o2bo2b2o18bo2b2o4b3o2bo2b3o17bo2b2o4b2obobo2b3o17bo
2b2o4b2obobo2b2o18bo2b2o32bo2b2o32bo2b2o32bo2b2o$170b4ob2o6bobo12bo9bo
23b2obob3o20bobo6b4ob3o19b2o45bo16b2o9b2obobo2b3o15b2o9b2obobo2b2o16b
2o13b2o4bo15b2o13b2o20b2o35b2o35b2o35b2o$177b2o20bo35bo24bo2b3o6bobo
19bo2b2o42bo20bo12b2o4bo17bo12b2o22bo12bo23bo12bo23bo36bo36bo36bo$265b
o3bo4bo17b2o45b2o34bo36bo$264bob3obobob3o17bo46bo$265b2o2b4o$269bo2bo
11$22bo167b3o$22b2o2b2o138bo21b2o3bo139bo$22bo2bo138b2o20bo146b2o$25bo
140bo17b2o3bo3bo139bo$168b4o14bo2bo3bo15bo31bo31bo31bo29bo$25b3o141bo
2bo15b2o17bo2b2o27bo2b2o27bo2b2o27bo2b2o27bo$26bo143b2o17bo3bo11b3o29b
3o29b3o29b3o30b2o$23bobo145b2o16bo3bo10bobo29bobo29bobo29bobo$22bo14bo
128bobo20b3o12bob2o28bob2o28bob2o28bob2o32bo$obobo3bobobo9bo3bo8b2o17b
obo83bobobo3bobobo13bobo34bo4bo26bo4bo26bo4bo26bo4bo30bobo$21b2obobo
10bo10b2o2b2o2bo108bo2bo20b3o10b2o30b2o30b2o30b2o34b4o$o11bo11bo3bo10b
5o3b3o6bo83bo7bo17b2o21bo3bo89bo31bo14b2o2bo$23b2ob2o12bo4bo4bobo118bo
17bo3bo7bo4b2o25bo4b2o25bo4b2o9b2o6bo7bo4b2o9b2o15b2obobo$obobo3bobobo
10b2obo13bo4bob3o2bo87bobobo3bobobo13b3o2b2o15b2o15bo31bo31bo9bo4bob2o
bo11bo9bo4bobo11b2o2bo$26b2o12bo4bo6b2o112bob5o13bo2bo3bo8b3o29b3o29b
3o9b3o3bobo11b3o9b3o3bob2obo7b2o$4bo7bo9bo3b2o11b2obo3b3o3b3o85bo3bo7b
o13bobo15b2o3bo3bo10bo31bo31bo8bo4bo17bo8bo4bo6bo6bo$26bo14bo4b3o117bo
2bo16bo18bo4bob3o22bo4bob3o22bo4bob2obo21bo4bob2obo16bo5bo$obobo3bobob
o10b3o17b2o2b2o91bobobo3bobobo13bo21b2o3bo10b2ob2obob2obo20b2ob2obob2o
bo20b2ob2obob3o21b2ob2obob3o18bob3o6b2obobo$25bo18b2o122b2o20b3o10bo3b
o5bo4bo16bo3bo5bo4bo6bo9bo3bo27bo3bo30bo3bo4bob2obo$26bo176b4o7b3o3bob
o12b4o7b3o3bob2obo9b4o28b4o28b4o2bo10bo$25b2o140b2o16b3o12bo3b2o9bo4bo
b2obo6bo3b2o9bo4bobo9bo3b2o26bo3b2o29bo2bo2bo3b2o$26bo139bobo19bobo9b
2o15b2o6bo6b2o15b2o13b2o30b2o36bo3b3o$26b2o137b2o3bo3bo9bo2bobo10bo18b
o12bo18bo12bo31bo36bo$23bo2b2o133bo3b2obo3bo2b2o6bo3bo145bobo$21b2o3bo
134b2o2bo4b3o11bo148bobo$23bo137bo2b2o19b2o147bo$186b3o$186b3o14$197bo
31bo38b2o33bo32bo$171b2obo22b2ob2o27b2ob2o34b4o22b3o4bobo23b3o4bobo$ob
obo3bo3bo127bobobo3bobobo14b3obob3o17bobo2bo26bobo2bo30bo5bo3bo17bo2b
2o4b2obobo8b2obo6bo2b2o4b2obobo$163bobo10bo3b2o8bo2bo6bo3bo17bo2bo6bo
3bo24b2ob2o2bo20b2o7bo12bob3o6b2o7bo$o7bo3bo127bo7bo12b2o4b2o5bo3b4o6b
2o3b2o9b2o14b2o3b2o9b2o19bobo2bo2bo3bobo17bo3bo6b3o8b2o9bo3bo6b3o$163b
ob2o2bo4b3obo11bo2b2o4b2obo19bo2b2o4b2obo10bo8bo2bo7b3o3bo7bobo12b2o4b
o2bo6bobo14b2o4bo2bo6b2o$obobo3bobobo127bobobo3bobobo16bo4bo17bo2bo2bo
3bo5bo2b2o11bo2bo2bo3bo5bo2b3o6b2o3b2o14bo4bo2bo17b2o2bo3b3ob3o18b2o2b
o4b3obo$163bob2o2bo4b3obo14b2o7bo5bo2b3o11b2o7bo5bo2b2o9bo2b2o10bo2bo
4bo3bo14b3o4bo3bo4bo16b3o4bo3bo4bo$4bo7bo127bo3bo3bo3bo8b2o4b2o5bo3b4o
16bo4b2o3bo4bo16bo4b2o3bo15bo2bo7b2o3bo2bobo25bo4b3obo23bo3b3ob3o$163b
obo10bo3b2o15b2o4bob3o21b2o4bob3o17b2o6bo8b2o2b2o22b2o6b2o23b2o6bobo$o
bobo7bo127bobobo3bobobo14b3obob3o16bob2o3bo4b4o16bob2o3bo4b4o25bo11bo
22bo2b2o28bo2b2o6b2o$171b2obo17bo3b2o2b2o3bo18bo3b2o2b2o3bo27bobo10b2o
18b2o31b2o11bob3o$192bob2o28bob2o51b2obo17bo32bo11b2obo$282bo40$56bo$
55bobo$54b2o$56bo$56bo$871bobo$54b2obo558bo31bo94bo32bo35bo38bo19bo$
39b2o12b3o560b2o4bo25b2o92bobo30bobo33bobo36bobo18bo2bo$39b2o12bo3bo
417bo44bo26bo31bo32b2obobo2b3o21b2obobo2b2o23bo32bo30b2o31b2o35bobo36b
obo20bo3bo$39bo13bob2o238bo44bo132b2o6bo36b2o23bo2bobo26bo2bobo31b3o2b
o2b2o22b3o2bo2b3o21bobo30bobo31bo32bo34bo38bo24bobo16bo30bo$36bo2bo
253b2o6bo36b2o36bob3o40bob3o45bo4bob2obo34bo4bobo16b4o28b4o34b2o2bo27b
2o2bo7bo20b2o31b2o33bo32bo96b2o19b2o6bo22b2o6bo$33bo4bo14bo2bo9bo122bo
bobo40bobobo52bo4bob2obo34bo4bobo25bobob2obob2obo32bobob2obob2obo43b3o
3bobo36b3o3bob2obo13b3o3b2o2bo21b3o3b2o2bo7bo16bo31bo37bo32bo100bobo
36bobo20b3o18bo6b3o21bo6b3o$29b2o2b2ob3obo11b2o10b2o22bo98bo3bob2obob
3o31bo3bob2obob3o44b3o3bobo36b3o3bob2obo20bo3bobo5bo4bo27bo3bobo5bo4bo
6bo32bo4bo39bo4bo6bo10b2o2bo6b3o2bo2b2o11b2o2bo6b3o2bo2b3o13b4o2bobo
23b4o2bobo32bo32bo31b2o31b2o119bo6bo23bo6bo$obobo3bobobo15bo2bo6b2o8bo
3b2o12bo19b2obo23b2o35b2o34bo9bob2obo29bo9bob2obo32bobobo5bo4bo29bobob
o5bo4bo6bo19bo13b3o3bobo22bo13b3o3bob2obo29bob2obo39bob2obo19bo3b2o6b
2obobo2b3o9bo3b2o6b2obobo2b2o14b3o4bo24b3o4bo96b2o31b2o34b3o3b3o30b3o
3b3o16b2o21b2ob3obo23b2ob3obo$21b4obo21bo19bo5b3o7b2o3bo14bo3b3o2b3o
25bo3b3o2b3o32bo3b2o8bo4bo25bo3b2o8bo4bo6bo20bo3bob2obob2obo30bo3bob2o
bob2obo28bo3b2o10bo4bob2obo18bo3b2o10bo4bobo25bobob2obob3o33bobob2obob
3o23b3o10b2o4bo12b3o10b2o15b2o2bo27b2o2bo38b2o31b2o27b2o2bo28b2o2bo32b
o5bo3b2o27bo5bo3b2o14b2o3bo20bo3bo26bo3bo$o11bo8bo2b4obo17b2o2bo15bo5b
o10b2obo14b2obo4bo2b2obobo4bo15b2obo4bo2b2obobo4bo24bob2o11b3o3bobo21b
ob2o11b3o3bob2obo19bo9bob3o30bo9bob3o29bob2o14b2o6bo18bob2o14b2o27bo3b
obo38bo3bobo26bo2bo13bo14bo2bo13bo15bo3b2o26bo3b2o36b2o31b2o29b3o30b3o
33b2obo3bo31b2obo3bo10bo16b2o10b2o2bobo24b2o2bobo$48bob2o15bobo3bo3b2o
2b2o4b2o10bobob2o3b2o5b3o6bo11bobob2o3b2o5b3o6bo12b2ob2o7bo14bo4bob2ob
o7b2ob2o7bo14bo4bobo21bo3b2o39bo3b2o28b2ob2o7bo18bo13b2ob2o7bo18bo25bo
44bo34b2o30b2o33b3o29b3o34b2o2bo28b2o2bo17bo2b2o9b2o17bo2b2o9b2o35bo3b
o4bobo27bo3bo4bob2obo11b2o3bo10b3o28b3o20bo$obobo7bo8b3o24bob2o15bobob
o3bo4b2ob2o3b3obo6bo7bo3b3obo3b4obo11bo7bo3b3obo3b4obo4bo6b3o8bo18b2o
6bo6b3o8bo18b2o25bob2o41bob2o29b3o8bo33b3o8bo45bo3b2o39bo3b2o30bobobo
27bobobo26bo2bo28bo2bo37b3o30b3o19b2o2bo28b2o2bo46bo5b2obob2obo24bo5b
2obobo15bobo4b2o7bo15b2o13bo20bo$48bob2o19b5obo2bob3o4bobo7bo4b2ob2o4b
o4b2o3b3obobo6bo4b2ob2o4bo4b2o3b3obobo7b2obo2bo2bobo19bo13b2obo2bo2bob
o19bo13b2ob2o7bo32b2ob2o7bo32b2obo2bo2bobo33b2obo2bo2bobo44bob2o41bob
2o32bo3bo27bo3bo27b2o30b2o27bo2b2o9b2o17bo2b2o9b2o17bo3b3o2b3o21bo3b3o
2b3o34bo18bo19bo31b7obo8b2ob2o10b3ob2obo8b2ob2o15b2o$o3bo7bo8bo2b4obo
17b2o2bo15bo10bo22b2obobo11bo8bobo8b2obobo11bo8bobo16bobo42bobo32b3o8b
o33b3o8bo43bobo42bobo33b2ob2o7bo32b2ob2o7bo34bo31bo31bobobo27bobobo24b
2o2bo28b2o2bo32b2obo2b2o25b2obo2b2o33b2obo35b2obo28bo22bo5bob3o6bo13bo
5bo6bo$21b4obo21bo17bo4b2o32b2o22bo12b2o34b2obo41b2obo37b2obo2bo2bobo
33b2obo2bo2bobo37b2obo41b2obo36b3o8bo33b3o8bo37bo31bo30bo3bo27bo3bo24b
o3b3o2b3o8b2o11bo3b3o2b3o8b2o16bo32bo29bob2o35bob2o39b7obo8b2o7bobo6bo
12b2o7bobob3o6bo$obobo7bo15bo2bo6b2o8bo3b2o13bo2bo2bo32b4o33b4o33b2o
43b2o46bobo42bobo39b2o43b2o37b2obo2bo2bobo33b2obo2bo2bobo40bobo29bobo
24bo31bo32b2obo2b2o7bobo4bo10b2obo2b2o7bobo17b2o31b2o25b2o3bo33b2o3bo
39bobo4b2o9bo6bobo9b2o10bo6bobo4b3ob2obo$29b2o2b2ob3obo11b2o13b3obobo
34bo36bo34b3o42b3o40b2obo41b2obo43b3o42b3o45bobo42bobo37b2o3bo26b2o3bo
25bo31bo32bo10bo2bob2obobo11bo10bo2bob2obobo13bo3bo3bo24bo3bo3bo19bobo
6bobo27bobo6bobo30b2o3bo14bo2bo14bo12bo2bo9b2o$33bo4bo14bo2bo16bo108bo
2b2o40bo2b2o38b2o43b2o45bo2b2o40bo2b2o36b2obo41b2obo40bobo3bo25bobo3bo
29bobo29bobo27b2o11b2o3bobo12b2o11b2o3bobo14bo2bo3bo25bo2bo3bo23b3ob2o
33b3ob2o37b2o14bobobob2o10bo12bobobob2o$36bo2bo144bo44bo40b3o42b3o46bo
44bo40b2o43b2o40b2obo28b2obo29b2o3bo26b2o3bo28bo3bo3b2obo21bo3bo3b2obo
7bo15bobo2bo27bobo2bo24b2ob2o34b2ob2o30b2o3bo17b2o3bo25b2o3bo$39bo13bo
b2o215bo2b2o40bo2b2o128b3o42b3o35bobo29bobo33bobo3bo25bobo3bo29bo2bo2b
o26bo2bo2bo33b2obo29b2obo7bo14bobo36bobo30bo24bo30bo$39b2o12bo3bo216bo
44bo132bo2b2o40bo2b2o31bo31bo35b2obo28b2obo33bobo3bo26bobo3bo36b2o3bob
o25b2o3bobo15b3o36b3o32bo$39b2o12b3o398bo44bo33bobo29bobo29bobo29bobo
44bo32bo33bo2bob2obobo22bo2bob2obobo15b4o35b4o29bobo$54b2obo539bo31bo
116bobo4bo25bobo23bo38bo29b2o3b2o$597bobo29bobo115b2o31b2o94bobo$56bo$
56bo$54b2o$55bobo$56bo6$287bo7bo$73bo211b2o7bo$71b2o214bo6b2o$48bo24bo
218bo$21bobo22b2o27bobo210b2o6bo$21bo26bo25bo2bo18bobo4b2o184b3ob2obo$
21bo28bobo21bo2bo18bo7bo2bo11b2o26b2o136bo3b2o$23b2o24bo2bo21bobo19bo
2b3o5bo10b3o25b3o43bo64bo27b2o$22b3o24bo2bo23bo21bo5bo2bo11bo27bo42b2o
37bo18b3o4bobo27bo$21b2o7bobo16bobo51b2o15b2ob2o23b2ob2o39bo34b2o14bo
2b2o4b2obobo29bo27bobo$21bo3b2o2bo2bo12bo5bo21bobo17bob2obo26bo27bo40b
5o21bo8bo13b2o7bo34bo26bo2bo11bobo$obobo3bobobo11bobobo3bo6bo3bo2bo22b
3ob2obo15b3o4bo20b2o26b2o34bo10bo3bo11b3o4bobo10b5o7bo3bo6b3o29b2o27bo
12bo2bo$24bo3bo10b2o2bo4bobo19bob2obo22bo22bo2bo24bo2bo22b3o4bobo4b2o
3bo4bo6bo2b2o4b2obobo11bo3bo11b2o4bo2bo58b2o9bo3bo$o7bo3bo11bobo2b2o8b
o3bo2b4obo15bo2bobo19b2o29bo27bo18bo2b2o4b2obobo2b2o6bobo8b2o7bo10b2o
3bo4bo16b2o2bo30bo14bob2o9bobo7b2o$26b2o19b2obo14bo2bo2b2o16b5obo18bob
o4bo20bobo4bo20b2o7bo13b2o11bo3bo6b3o4b2o6bobo15b3o4bo4bo3bo20bobo13bo
3b2o5bobo8bob2o$obobo3bobobo10b2ob2o16b2o18bo2bo2bo16b2ob2obo20bo27bo
27bo3bo6b3o3bobob2o18b2o4bo2bo9b2o25bo3bobob2o19b4o13bob2o6bo2b4o2bo$
23b2ob2o16b2o18bo3bob3o14bo3bobobo18bobo2bo2bo19bobo2bo2bo24b2o4bo2bo
3bo3bo23b2o2bo3bobob2o26b2o9b2o13b2o2bo21b3obo5b2o2b2ob2obo$o3bo3bo3bo
13b2o19b2obo14b3obo2bo14b2obob2obo21bo27bo34b2o2bo28b3o4bo4bo3bo24bo2b
2o2b2o6bobo10b2obobo21bob2o5b3o7b2obo$24bobo2b2o8bo3bo2b4obo13bobo22b
2o26bob2obo22bob2obo25b3o4bo35bo31b2o9b2o3bo4bo8b2o2bo44bo$obobo3bobob
o11bo3bo10b2o2bo4bobo13b2o21b3o29b3obo23b3obo32bo34b2o33bo14bo3bo7b2o
27bobo7bo$24bobobo3bo6bo3bo2bo41bo29bo4bo2bob2o16bo4bo2bob2o25b2o32bo
2b2o46b5o7bo31b2obob3o$21bo3b2o2bo2bo12bo5bo9b2o3bo17b2o29bo3b2o3bob4o
13bo3b2o3bob4o23bo2b2o29b2o49bo13bo5bo28bo$21b2o7bobo16bobo9b2o21b2o
29b2o2bo2bob2o4bo12b2o2bo2bob2o4bo4bo15b2o36bo46b2o15bob3o$22b3o24bo2b
o33bo28bo8b2o4bo2b2o8bo8b2o4bo2b3o17bo84bo19bo$23b2o24bo2bo8b3o21bobo
32b2o3b2o3bo2b3o12b2o3b2o3bo2b2o120b4o$21bo28bobo8b2o22bob2obo44bo147b
o2bo$21bo26bo14bobo20bo3bo195bo$21bobo22b2o13bo3bo219bo$48bo10bo2bo
222bobo$59bo225bobo$59bobo224bo6$99bo$98bobo$97b2o$99bo$99bo$186bo3bo
22bo3bo$97b2obo84bob2obo21bob2obo12bo$23bo3bo18bo3bo18bo3bo22b3o86bobo
13bobo8bobo13bobo$22bob2obo17bob2obo17bob2obo22bo3bo85bo10b3obobo9bo
10b3obobo28bo33bo228b2o5b2obo16bobo6bo$22bobo20bobo20bobo25bob2o84b2o
7b4obo4bo7b2o7b4obo28bo2b3o28bo2b3o98bo2b2o29bo2b2o90bo6bo2b2o16bo7bob
o$23bo22bo22bo114b2o7bo4bo12b2o7bo4bo28bo2b2o29bo2b2o99bo2b3o28bo2b3o
89b2o5bo20bo7bo$21b2o14bo6b2o21b2o14bo12bo2bo88bob2o5bo17bob2o5bo25bo
3bo29bo3bo40bo33bo24bo3bo4bo24bo3bo4bo89b2o6bo21bo3b2o$21b2o7bobob2obo
6b2o7bobobo9b2o7bobob2obo11b2o90b2o5b2o18b2o5b2o26bob3o29bob3o36bo2b3o
28bo2b3o23bob3o29bob3o34bo2b2o29bo2b2o17b4obo3b2ob2o25b2obobo$obobo3bo
bobo12b3o4bobo13b3o4bob2obo10b3o4bobo10bo3b2o24b2o6bo29b2o6bo81bob3o
29bob3o36bo2b2o29bo2b2o24bob3o29bob3o34bo2b3o28bo2b3o13bob3o6b2o3bo21b
2o3bo2bo$24b2o21b2o11bo9b2o19bo20bo3b3o2b3o26bo3b3o2b3o25b2obo23b2obo
19bob2o8b3o19bob2o8b3o34bo3bo29bo3bo16bob2o8b3o19bob2o8b3o32bo3bo4bo
24bo3bo4bo12b2o7b2o3b2o21bo3b2o$o7bo3bo17b2o21b2o21b2o12b2o2bo15b2obo
4bo2b2obobo5bo15b2obo4bo2b2obobo5bo16b2obo23b2obo19bo3b2o5b2o21bo3b2o
5b2o35bob3o29bob3o17bo3b2o5b2o21bo3b2o5b2o33bob3o29bob3o34b2o17b2o$24b
6o17b6o17b6o15bob2o12bobob2o3b2o5b3o7bo11bobob2o3b2o5b3o7bo17bo26bo20b
ob2o6bobo21bob2o6bobo35bob3o29bob3o17bob2o6bobo21bob2o6bobo33bob3o29bo
b3o18bob2obo31bo$obobo3bobobo11bo22bo22bo20bob2o12bo7bo3b3obo3b5obo11b
o7bo3b3obo3b5obo4bo9bo2b2o22bo2b2o24b3obo29b3obo26bob2o8b3o19bob2o8b3o
24b3obo29b3obo24bob2o8b3o19bob2o8b3o20b2o3bo24bo8bobo$24b6o17b6o17b6o
15bob2o12bo4b2ob2o4bo4b2o4b3obobo6bo4b2ob2o4bo4b2o4b3obobo10b3o24b3o
26bob2o30bob2o26bo3b2o5b2o21bo3b2o5b2o27bob2o30bob2o24bo3b2o5b2o21bo3b
2o5b2o27bo24b2o6bo2bo$o3bo7bo17b2o21b2o21b2o12b2o2bo14b2obobo11bo9bobo
8b2obobo11bo9bobo130bob2o6bobo8bo12bob2o6bobo8bo80bob2o6bobo8bo12bob2o
6bobo8bo13b2o28bo7bo2bo$24b2o21b2o11bo9b2o11bo7bo4bo16b2o23bo12b2o33bo
26bo30bobo31bobo31b3obo9b2o18b3obo9b2o6bo13bobo31bobo29b3obo9b2o18b3ob
o9b2o6bo7bo31bo5bobo$obobo3bobobo12b3o4bobo13b3o4bob2obo10b3o4bob2obo
7bo3b3o16b4o34b4o30b2o25b2o31b2obob3o26b2obob3o25bob2o7bo4bobo15bob2o
7bo4bob2obo15b2obob3o26b2obob3o23bob2o7bo4bobo15bob2o7bo4bob2obo7b3o
29bo7bo$21b2o7bobob2obo6b2o7bobobo9b2o7bobobo15b2o18bo37bo30bo2b2o22bo
2b2o32bob2obo28bob2obo34b3o3bob2obo22b3o3bobo21bob2obo28bob2obo32b3o3b
ob2obo22b3o3bobo11b2o3bo24b2o$21b2o14bo6b2o21b2o118bobo24bobo35bo4bo6b
o21bo4bo22bobo5bo4bo6bo13bobo5bo4bo28bo4bo6bo21bo4bo20bobo5bo4bo6bo13b
obo5bo4bo21bo21bo2bo2bobo$23bo22bo22bo27b3o83b2o3bo21b2o3bo37b3o3bob2o
bo22b3o3bobo20b2obob2obo25b2obob2obo32b3o3bob2obo22b3o3bobo18b2obob2ob
o25b2obob2obo21b2o21b2o6bob2o$22bobo20bobo20bobo26bobo84b3o24b3o40bo4b
obo26bo4bob2obo20bob3o29bob3o34bo4bobo26bo4bob2obo18bob3o29bob3o21bob
2o22bo5b4o$22bob2obo17bob2obo17bob2obo21b2o88b2o25b2o42b2o32b2o6bo95b
2o32b2o6bo78b2o26b4o$23bo3bo18bo3bo18bo3bo22bobo89bo26bo42bo33bo103bo
33bo80bobo34bo3bo$96bob2o86bobo24bobo295bo36b5o$98b2o87bo26bo296bobo
35b2o2$99bo$97b2o$97b2o$99bo4$29bo$27bo2b2o136bobo$25b3o138b2o3b2o$24b
obo13bo125bobo$24bob2o10b2o3bo77bo24bo21bo$23bo4bo11bo2b2o74bo2b2o20bo
2b2o16bo$22b2o19b2o72b3o22b3o20b2o3bo$43bo72bobo22bobo27bo$21bo4b2o14b
2o72bob2o21bob2o23b2ob2o$25bo17bo71bo4bo19bo4bo23bob2o$22b3o15b3o17bob
o4b2o20bobo4b2o16b2o23b2o27b2obo$24bo15b2o18bo7bo2bo17bo7bo2bo70bo$26b
o12bobo18bo2b3o5bo17bo2b3o5bo12bo4b2o18bo4b2o22bo2bo$obobo3bobobo13bo
12bob4o17bo5bo2bo19bo5bo2bo16bo24bo24bo2b2o$25bo3b2o8bobo13b2o10b2o15b
2o10b2o16b3o22b3o26b2o$4bo3bo3bo12bobo16b2o8b3o3b2o21b3o3b2o25bo24bo$
25bo3bo11b3o11b2obo4bo20b2obo4bo24bo12bo11bo$4bo3bo3bo16b2o9b2obo14bo
4bo23bo4bo23b2o7bo2b3o10b2o7bo2b2o11b3o$29b2o9b2o2bo72bo7bo2b2o12bo7bo
2b3o13bobo$4bo3bo3bo12bo3bo10b2o2bo13b6o23b6o24b2ob2o3bo16b2ob2o3bo4bo
9bo2bobo$25bobo13b2o19b2o2bobo22b2o2bobo16bo2b2obob3o14bo2b2obob3o14bo
3bo$4bo3bobobo12bo3b2o25bo2b2o5b2ob2o14bo2b2o5b2ob2o12b2o3bo3b4o12b2o
3bo3b4o15bo$26bo16bo10b2o3bob2ob2o17b2o3bob2ob2o10bo8bo7bo16bo7bo18b2o
$26bo16b3obo8bo3b2o3bo5bobo11bo3b2o3bo5bob2obo61b3o$24bo17bo2bo15bo6b
2obob2obo13bo6b2obobo21bo24bo17b3o$22b3o16b2o4bo17b2o9bo17b2o26bobo22b
obo$25bo14bo6bo74bo2bo21bo2bo$21bo4b2o12b2o4bo75bo2bo21bo2bo13b3o$46bo
76bobo22bobo16bobo$22b2o18b3o76bo24bo16bo2bobo$23bo4bo12bo4b2o71b2o23b
2o16bo3bo$24bob2o12b3o78bo24bo16bo$24bobo14b2o121b2o$25b3o137b3o$27bo
2b2o133b3o$29bo!
-Matthias Merzenich
Sokwe
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Posts: 1142
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Re: Spaceship Discussion Thread

Postby Sokwe » March 24th, 2016, 5:47 am

Here is an interesting partial (2,0)c/10 found when testing a modification of zfind:
x = 16, y = 29, rule = B3/S23
7b2o$3b2obo2bob2o$3b2obo2bob2o$2bo4b2o4bo$3bo8bo3$2bo10bo$2b2o8b2o$obo
10bobo$b4o6b4o$4bo6bo$3b3o4b3o2$b4obo2bob4o$3ob8ob3o$3ob2o4b2ob3o$6bo
2bo$5bo4bo$3bob2o2b2obo$3b2obo2bob2o$4bo6bo$5b2o2b2o$3b2o6b2o$b2o3bo2b
o3b2o$bobo2b4o2bobo$bo4bo2bo4bo$2obo3b2o3bob2o$o2bob2o2b2obo2bo!

It is interesting, because the front part is only weakly connected to the back, so there could be a large number of different connections to this component. Perhaps extending the result horizontally or diagonally will yield something. I've done some searching, but I haven't found anything yet. Maybe someone else will have better luck.
-Matthias Merzenich
Sokwe
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Posts: 1142
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Postby moebius » April 13th, 2016, 8:28 am

I recently upgraded my knightt search program to do the various period doubling symmetry modes. For example, this means I can now search for 2c/6 spaceships of glide, even, odd, and gutter symmetries by modifying my c/3 search mode. Since knightt (if run to completion) finds a complete representative collection of ships that meet the search parameters, it can establish the nonexistence of certain ships.

I ran the following searches:

c/3 even symmetric width 16 - 20 period 3 ships found
2c/6 even symmetric width 16 - 0 period 6 ships found, 20 period 3 ships found
2c/6 glide symmetric width 16 - 0 period 6 ships found, 20 period 3 ships found

c/3 even symmetric width 18 - 86 period 3 ships found
2c/6 even symmetric width 18 - 12 period 6 ships found, 86 period 3 ships found
2c/6 glide symmetric width 18 - 38 period 6 ships found, 86 period 3 ships found

Here is the period 6 members of the 2c/6 even symmetric collection (rearranged to illustrate similarities):
x = 282, y = 106, rule = B3/S23
8b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$4b2obo2bob
2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b
2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo
2bob2o$4b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o
14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o$4bobo4bobo14bobo4bobo14b
obo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo
4bobo14bobo4bobo14bobo4bobo14bobo4bobo$6b2o2b2o18b2o2b2o18b2o2b2o18b2o
2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b
2o2b2o$5b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob
2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o$
7bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo
20bo2bo20bo2bo$5bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo17bo4bo18bo4bo
18bo4bo18bo4bo18bo4bo18bo4bo$5bo6bo16bo6bo16bo6bo16bo6bo16bo6bo16bo6bo
13b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b
2ob3o10b3ob2o2b2ob3o$145bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5b
o8bo5bo2bo5bo8bo5bo2bo5bo$5b8o16b8o16b8o16b8o16b8o16b8o13bo2b3o2b3o2bo
10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b
3o2bo$4b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o16bob2obo
18bob2obo18bob2obo18bob2obo18bob2obo18bob2obo$148b2o6b2o14b2o6b2o14b2o
6b2o14b2o6b2o14b2o6b2o14b2o6b2o$8b2o22b2o22b2o22b2o22b2o22b2o$7bo2bo
20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo17b2o6b2o14b2o6b2o14b2o6b2o14b2o6b
2o14b2o6b2o14b2o6b2o$147bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4b
o2bo12bo2bo4bo2bo12bo2bo4bo2bo$7bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo
2bo16bobo6bobo12bobo6bobo12bobo6bobo12bobo6bobo12bobo6bobo12bobo6bobo$
3b3ob4ob3o12b3ob4ob3o12b3ob4ob3o12b3ob4ob3o12b3ob4ob3o12b3ob4ob3o11b2o
10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o$2bo12bo10bo12b
o10bo12bo10bo12bo10bo12bo10bo12bo9b3o10b3o8b3o10b3o8b3o10b3o8b3o10b3o
8b3o10b3o8b3o10b3o$3bob2o4b2obo12b2o3b2o3b2o12b2o3b2o3b2o12b2o3b2o3b2o
12b2o3b2o3b2o12b2o3b2o3b2o12bobo6bobo12bobo6bobo12bobo6bobo12bobo6bobo
12bobo6bobo12bobo6bobo$7b4o20b4o20b4o20b4o20b4o20b4o18b2o4b2o16b2o4b2o
16b2o4b2o16b2o4b2o16b2o4b2o16b2o4b2o$4bo2b4o2bo16bo4bo18bo4bo18bo4bo
18bo4bo18bo4bo16bo2bo2bo2bo13bo3bo2bo3bo12bo3bo2bo3bo12bo3bo2bo3bo12bo
3bo2bo3bo12bo3bo2bo3bo$5b2ob2ob2o138b4o16bo10bo12bo10bo12bo10bo12bo10b
o12bo10bo$4bob6obo137b4o16b2obo4bob2o12b2obo4bob2o12b2obo4bob2o12b2obo
4bob2o12b2obo4bob2o$4bo8bo12bob2ob4ob2obo10bob2ob4ob2obo10bob2ob4ob2ob
o10bob2ob4ob2obo10bob2ob4ob2obo10bo12bo14bo4bo18bo4bo18bo4bo18bo4bo18b
o4bo$25b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o6b2ob2o8b2ob2o
6b2ob2o8bob3o6b3obo11b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o14b3o4b3o$2bo5b
2o5bo8bo2bobo2b2o2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2b2o2bobo2bo6bo2b
obo2b2o2bobo2bo6bo2bobo2b2o2bobo2bo7bo2bo8bo2bo$b2o3b2o2b2o3b2o8bo4bo
4bo4bo8bo4bo4bo4bo8bo4bo4bo4bo8bo4bo4bo4bo8bo4bo4bo4bo8b2obo2bo2bo2bob
2o12bo6bo16bo6bo16bo6bo16bo6bo16bo6bo$o2b4o4b4o2bo14b2o22b2o22b2o22b2o
22b2o20bo4bo17bo6bo16bo6bo16bo6bo16bo6bo16bo6bo$4bobo4bobo15bo2b2o2bo
16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo13bo12bo8b3obo8bob3o6b3obo
8bob3o6b3obo8bob3o6b3obo8bob3o6b3obo8bob3o$3b3o6b3o13b2o6b2o14b2o6b2o
14b2o6b2o14b2o6b2o14b2o6b2o12b3o8b3o11bo2bo4bo2bo12bo2bo4bo2bo12bo2bo
4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo$3bo10bo11b2o4b2o4b2o10b2o4b2o4b2o10b
2o4b2o4b2o10b2o4b2o4b2o10b2o4b2o4b2o10b3o8b3o11b5o2b5o12b5o2b5o12b5o2b
5o12b5o2b5o12b5o2b5o$29bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo2b2o2bo16bo
2b2o2bo15bo8bo10b5ob2o2b2ob5o6b5ob2o2b2ob5o6b5ob2o2b2ob5o6b5ob2o2b2ob
5o6b5ob2o2b2ob5o$31bo2bo20bo2bo20bo2bo20bo2bo20bo2bo17b2o6b2o11bo14bo
8bo14bo8bo14bo8bo14bo8bo14bo$28b2obo2bob2o14b2obo2bob2o14b2obo2bob2o
14b2obo2bob2o14b2obo2bob2o11b2o3b6o3b2o$27bobobo2bobobo12bobobo2bobobo
12bobobo2bobobo12bobobo2bobobo12bobobo2bobobo10bo4b6o4bo9b2o10b2o10b2o
10b2o10b2o10b2o10b2o10b2o10b2o10b2o$27bobo6bobo12bobo6bobo12bobo6bobo
12bobo6bobo12bobo6bobo11bo4b4o4bo9bo14bo8bo14bo8bo14bo8bo14bo8bo14bo$
26b2obo2b2o2bob2o10b2obo2b2o2bob2o10b2obo2b2o2bob2o10b2obo2b2o2bob2o
10b2obo2b2o2bob2o9bo2b2o6b2o2bo11bo2b4o2bo14bo2b4o2bo14bo2b4o2bo14bo2b
4o2bo14bo2b4o2bo$25bobobobo2bobobobo8bobobobo2bobobobo8bobobobo2bobobo
bo8bobobobo2bobobobo8bobobobo2bobobobo15b2o16bob10obo10bob10obo10bob
10obo10bob10obo10bob10obo$24b2obobobo2bobobob2o6b2obobobo2bobobob2o6b
2obobobo2bobobob2o6b2obobobo2bobobob2o6b2obobobo2bobobob2o13bo2bo16bob
ob4obobo12bobob4obobo12bobob4obobo12bobob4obobo12bobob4obobo$27bobob4o
bobo12bobob4obobo12bobob4obobo12bobob4obobo12bobob4obobo38b2o4b2o16b2o
4b2o16b2o4b2o16b2o4b2o16b2o4b2o$24b2obobobo2bobobob2o6b2obobobo2bobobo
b2o6b2obobobo2bobobob2o6b2obobobo2bobobob2o6b2obobobo2bobobob2o13bo2bo
$29b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o14b3ob4ob3o$
25bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo9bo12bo
15b4o$25bo3bobo2bobo3bo8bo3bobo2bobo3bo8bo3bobo2bobo3bo8bo3bobo2bobo3b
o8bo3bobo2bobo3bo10b2o3b2o3b2o15bo4bo18bo4bo18bo4bo18bo4bo18bo4bo$31bo
2bo20bo2bo20bo2bo20bo2bo20bo2bo20b4o18bobo2bobo15bo8bo14bo8bo14bo8bo
14bo8bo$31b4o20b4o20b4o20b4o20b4o19bo4bo39b2o3b2o3b2o12b2o3b2o3b2o12b
2o3b2o3b2o12b2o3b2o3b2o$29bo6bo16bo6bo16bo6bo16bo6bo16bo6bo62bo4b2o4bo
12bo4b2o4bo12bo4b2o4bo12bo4b2o4bo$25b3ob3o2b3ob3o8b3ob3o2b3ob3o8b3ob3o
2b3ob3o8b3ob3o2b3ob3o8b3ob3o2b3ob3o14bo2bo39b5o4b5o10b5o4b5o10b5o4b5o
10b5o4b5o$24bo3bobob2obobo3bo6bo3bobob2obobo3bo6bo3bobob2obobo3bo6bo3b
obob2obobo3bo6bo3bobob2obobo3bo14b2o42b3o4b3o14b3o4b3o14b3o4b3o14b3o4b
3o$25b2o4b4o4b2o8b2o4b4o4b2o8b2o4b4o4b2o8b2o4b4o4b2o8b2o4b4o4b2o14b4o
40bobo6bobo12bobo6bobo12bobo6bobo12bobo6bobo$32b2o22b2o22b2o22b2o22b2o
19bo6bo$52b2o6b2o14b2o6b2o15bo6bo16bo6bo15bo2bo2bo2bo38b2o6b2o14b2o6b
2o14b2o6b2o14b2o6b2o$50b3obo4bob3o10b3obo4bob3o9b2obobo4bobob2o8b2obob
o4bobob2o11bo8bo38bo2bo2bo2bo14bo2bo2bo2bo14bo2bo2bo2bo14bo2bo2bo2bo$
49b2o3bo4bo3b2o8b2o3bo4bo3b2o8b2o4bo2bo4b2o8b2o4bo2bo4b2o13bo4bo42bo4b
o18bo4bo18bo4bo18bo4bo$48bo3b2o6b2o3bo6bo3b2o6b2o3bo6bo3b3o4b3o3bo6bo
3b3o4b3o3bo10b2o6b2o64bo4bo18bo4bo18bo4bo$49bob2o8b2obo8bob2o8b2obo8bo
14bo8bo14bo$51bo10bo12bo10bo13bo8bo14bo8bo87bo6bo16bo6bo16bo6bo$52bo8b
o14bo8bo12bo2b8o2bo10bo2b8o2bo85bo6bo16bo6bo16bo6bo$98b2ob8ob2o10b2ob
8ob2o86b2o2b2o18b2o2b2o18b2o2b2o$52bo8bo14bo8bo15bo6bo16bo6bo$51bob2o
4b2obo12bob2o4b2obo15bo4bo18bo4bo92b2o22b2o22b2o$50b2obob4obob2o10b2ob
ob4obob2o14bo4bo18bo4bo91bo2bo20bo2bo20bo2bo$50b2o2bo4bo2b2o10b2o2bo4b
o2b2o12bo8bo14bo8bo$51b2obo4bob2o12b2obo4bob2o12bo3bo2bo3bo12bo3bo2bo
3bo88bo2bo20bo2bo20bo2bo$51b2ob6ob2o12b2ob6ob2o12bo2bo4bo2bo12bo2bo4bo
2bo109b2o6b2o15bo6bo$51bo3b4o3bo12bo3b4o3bo11bo12bo10bo12bo105b2obobo
4bobob2o8b3ob2o4b2ob3o$50b2o4b2o4b2o10b2o4b2o4b2o9b2o3bob2obo3b2o8b2o
3bob2obo3b2o104b2o3bo4bo3b2o7bobobo2bo2bo2bobobo$50bobo3b2o3bobo10bobo
3b2o3bobo12b4o2b4o14b4o2b4o106bo3b2o6b2o3bo6bobo2b2o4b2o2bobo$49bo2bob
o4bobo2bo8bo2bobo4bobo2bo8b2o3b2o2b2o3b2o8b2o3b2o2b2o3b2o105b2obo6bob
2o12bo8bo$52b4o2b4o14b4o2b4o13b2o3b2o3b2o12b2o3b2o3b2o107b2o10b2o13b8o
$48bobobob6obobobo6bobobob6obobobo9b2o3b2o3b2o12b2o3b2o3b2o131bo12bo$
49b2obo2b4o2bob2o8b2obo2b4o2bob2o10b4o4b4o12b4o4b4o131b2o10b2o$49bo2bo
8bo2bo8bo2bo8bo2bo9bo2bob4obo2bo10bo2bob4obo2bo108b2o6b2o14b2o2b2o2b2o
$50bo2bo6bo2bo10bo2bo6bo2bo10b2obo6bob2o10b2obo6bob2o106b2ob8ob2o13b2o
4b2o$53bo6bo16bo6bo160bob4obo16bo6bo$51b3o6b3o12b3o6b3o159bob2obo$51b
2o8b2o12b2o8b2o10b2o12b2o12bo6bo113bob2obo15b2o8b2o$51b2obo4bob2o12b2o
bo4bob2o10b2o12b2o11b3o4b3o108bo3bo4bo3bo10b2o10b2o$51bobo6bobo12bobo
6bobo36b2o2bo2bo2b2o111bo4bo13b3o3bo2bo3b3o$99bo10bo15bo4bo110bobo8bob
o9b3o2bob2obo2b3o$98bobo8bobo13b2o4b2o108b2ob2ob4ob2ob2o10bo10bo$77b8o
40bo6bo111bobob2obobo12bo12bo$77bo6bo14bobo6bobo11b2ob2o4b2ob2o105bo2b
o8bo2bo11b2o6b2o$77bo6bo16bo6bo133bobo8bobo10bo4b4o4bo$77bo6bo14b3o6b
3o129bobobobo4bobobobo8bo3bo4bo3bo$77bo6bo37b2ob2o4b2ob2o105bo2b2o2b2o
2b2o2bo9bo4b4o4bo$78bo4bo39bo10bo109b2o6b2o12b3obob2obob3o$80b2o40bo4b
o2bo4bo107bob2o4b2obo$79bo2bo38bo14bo106bobo6bobo$76bo2bo2bo2bo34bo5bo
4bo5bo104bo12bo9b2o12b2o$75b2ob2o2b2ob2o34bo5b4o5bo105bo12bo9b2o12b2o$
125b8o110bobo6bobo11bo12bo$75b2o8b2o38bob4obo134bo10bo$122bo4b4o4bo
131bo10bo$120b2ob5o2b5ob2o129b2o8b2o$121b5o6b5o131bo8bo$122bo4b4o4bo
131bob2o4b2obo$126b2o2b2o136b2o6b2o$125b2o4b2o135bo8bo$125b3o2b3o$125b
3o2b3o$123bo10bo$124bo8bo$122bo12bo$123bo10bo!


Here are the period 6 members of the 2c/6 glide symmetric collection:
x = 313, y = 375, rule = B3/S23
3$10b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$6b
2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo
2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob
2o14b2obo2bob2o14b2obo2bob2o$6b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o
6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b
2o6b2o$6bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bo
bo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo
14bobo4bobo$8b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o
2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o$7b2ob2ob2o
16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b
2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o$9bo2bo
20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo
20bo2bo20bo2bo$7bo6bo16bo6bo16bo6bo16bo6bo17bo4bo17bo6bo17bo4bo18bo4bo
18bo4bo17bo6bo17bo4bo18bo4bo17bo6bo$7bo6bo16bo6bo16bo6bo16bo6bo13b3ob
2o2b2ob3o13bo6bo13b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o13bo6bo
13b3ob2o2b2ob3o10b3ob2o2b2ob3o13bo6bo$99bo5bo2bo5bo32bo5bo2bo5bo8bo5bo
2bo5bo8bo5bo2bo5bo32bo5bo2bo5bo8bo5bo2bo5bo$7b8o16b8o16b8o16b8o13bo2b
3o2b3o2bo13b8o13bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo13b8o13bo2b
3o2b3o2bo10bo2b3o2b3o2bo13b8o$6b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o16bob
2obo16b2o6b2o16bob2obo18bob2obo18bob2obo16b2o6b2o16bob2obo18bob2obo16b
2o6b2o$102b2o6b2o38b2o6b2o14b2o6b2o14b2o6b2o38b2o6b2o14b2o6b2o$10b2o
46b2o22b2o142b2o70b2o$9bo2bo19bo2bo21bo2bo20bo2bo17b2o6b2o16bo2bo18b2o
6b2o14b2o6b2o14b2o6b2o17bo2bo17b2o6b2o14b2o6b2o17bo2bo$30b6ob2o62bo2bo
4bo2bo13b6ob2o14bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo36bo2bo4bo2bo12bo
2bo4bo2bo$9bo2bo16bo7bob2o16bo2bo20bo2bo16b2obo4bob2o12bo7bob2o12b2obo
4bob2o12bobo6bobo12b2obo4bob2o16bo2bo16bobo6bobo12bobo6bobo16bo2bo$5b
3ob4ob3o11bo3b2o7bo11b3ob4ob3o12b3ob4ob3o11b2o10b2o10bo3b2o7bo10b2o10b
2o10b2o10b2o10b2o10b2o11b3ob4ob3o11b2o10b2o10b2o10b2o11b3ob4ob3o$4bo
12bo13bo3b4obo11bo12bo10bo12bo14bo4bo17bo3b4obo15bo4bo13b3o10b3o13bo4b
o14bo12bo9b3o10b3o8b3o10b3o9bo12bo$5bob2o4b2obo12b3o2bobobob2o11b2o3b
2o3b2o12b2o3b2o3b2o11b6o2b6o11b3o2bobobob2o10b6o2b6o11bobo6bobo11b6o2b
6o11b2o3b2o3b2o12bobo6bobo12bobo6bobo12b2o3b2o3b2o$9b4o16bobob2o4b3o
15b4o20b4o14b4ob2o2b2ob4o10bobob2o4b3o9b4ob2o2b2ob4o12b2o4b2o12b4ob2o
2b2ob4o14b4o18b2o4b2o16b2o4b2o18b4o$6bo2b4o2bo15b2o23bo4bo18bo4bo12b2o
14b2o11b2o17b2o14b2o10bo2bo2bo2bo10b2o14b2o12bo4bo16bo2bo2bo2bo14bo2bo
2bo2bo16bo4bo$7b2ob2ob2o14b3o6bo61bo12bo11b3o6bo13bo12bo12bobo4bobo12b
o12bo36bobo4bobo14bobo4bobo$6bob6obo21bo2bo92bo2bo36b2o8b2o60b2o8b2o
12b2o8b2o$6bo8bo36bob2ob4ob2obo10bob2ob4ob2obo9bobob2o4b2obobo32bobob
2o4b2obobo11bobo4bobo11bobob2o4b2obobo9bob2ob4ob2obo12bobo4bobo14bobo
4bobo12bob2ob4ob2obo$29b2o8b2o10b2ob2o6b2ob2o8b2ob2o6b2ob2o8bo3b2o4b2o
3bo10b2o8b2o10bo3b2o4b2o3bo8b2obob2o2b2obob2o8bo3b2o4b2o3bo8b2ob2o6b2o
b2o8b2obob2o2b2obob2o8b2obob2o2b2obob2o8b2ob2o6b2ob2o$4bo5b2o5bo11b2o
8bo10bo2bobo2b2o2bobo2bo6bo2bobo2b2o2bobo2bo9b4o4b4o12b2o8bo13b4o4b4o
9bo3bo8bo3bo9b4o4b4o9bo2bobo2b2o2bobo2bo6bo3bo8bo3bo6bo3bo8bo3bo6bo2bo
bo2b2o2bobo2bo$3b2o3b2o2b2ob4o11b3o2bo15bo4bo4bo4bo8bo4bo4bo4bo35b3o2b
o38bo5b2o2b2o5bo31bo4bo4bo4bo7bo5b2o2b2o5bo6bo5b2o2b2o5bo7bo4bo4bo4bo$
2bo2b4o4bobo3bo12b3obob2o18b2o22b2o19b2o4b2o17b3obob2o15b2o4b2o13bobo
8bobo13b2o4b2o19b2o16bobo8bobo10bobo8bobo16b2o$6bobo3b2obo14b2obo2b2o
20b2o22b2o19bo5bobo14b2obo2b2o16bo8bo38bo8bo15bo2b2o2bo67b2o$5b3o6b2o
16b2obo22b2o22b2o21bo22b2obo21bo2bo15bo12bo15bo2bo17b2o6b2o12bo12bo10b
o12bo16b2o$5bo8b2o16b3o18bobobo2bobobo12bobobo2bobobo14b3o3b3o16b3o18b
2o2bo2bo2b2o36b2o2bo2bo2b2o11b2o4b2o4b2o59bobobo2bobobo$52b3o8b3o10b3o
8b3o14bo43bo4b4o4bo10b2o10b2o10bo4b4o4bo13bo2b2o2bo13b2o10b2o10b2o10b
2o10b3o8b3o$33bo2b3o12bo3bo2b2o2bo3bo8bo3bo2b2o2bo3bo12bo4bo20bo2b3o
16bo6bo40bo6bo18bo2bo62bo3bo2b2o2bo3bo$31bob2ob2o14bobo8bobo10bobo8bob
o13bobo3b2o16bob2ob2o14bob4o2b4obo9b3o10b3o9bob4o2b4obo12b2obo2bob2o
11b3o10b3o8b3o10b3o9bobo8bobo$33bo2bo19b6o18b6o22bo20bo2bo14b16o8b2o
12b2o8b16o10bobobo2bobobo10b2o12b2o8b2o12b2o13b6o$32b3o3b3o63bo3b3o17b
3o3b3o10b2ob3o8b2o9bob2o6b2obo9b2ob3o8b2o10bobo6bobo11bob2o6b2obo10bob
2o6b2obo$28b3o2bo4bo3bo60bob2o2b2o13b3o2bo4bo3bo12b3o2bo15bo3bo4bo3bo
13b3o2bo15b2obo2b2o2bob2o10bo3bo4bo3bo10bo3bo4bo3bo$27b2obo2bo3bo4bo
13bobob2o17b2ob2ob2o15bo7bo12b2obo2bo3bo4bo11bo3b4o19bo2bo17bo3b4o13bo
bobobo2bobobobo14bo2bo20bo2bo19bobob2o$28bob5o2b2o3bo14bo2b2o16bobob2o
bobo13bo5b4o13bob5o2b2o3bo12bo3bo2b2o39bo3bo2b2o10b2obobobo2bobobob2o
61bo2b2o$27bo3bo3b3o2b2o16bobo15b3obo4bob3o19bo13bo3bo3b3o2b2o14b2o4b
2o14b2ob4ob2o16b2o4b2o13bobob4obobo13b2ob4ob2o14b2ob4ob2o18bobo$32bo
26bo15b2obobo4bobob2o11bo5bo19bo22bo6bo15bo8bo15bo6bo11b2obobobo2bobob
ob2o10bo8bo14bo8bo19bo$56bo2b2o15bobobo4bobo3bo12b3obo63b2o10b2o37b2ob
2ob2o13b2o10b2o10b2o10b2o17b2o$56b3o2bo16bobob2obobo2bo15bo50b2o46b2o
12bo5bo2bo5bo59bo2bo5bo$54b2o3b3obo13bo2bob2obobo41b4o18b3o3b2o12bo2bo
8bo2bo12b3o3b2o11bo4bobo2bobo4bo7bo2bo8bo2bo8bo2bo8bo2bo10b5o4b2o$53bo
2b3o3b3o14bobo2b2ob2o16b2o18b3ob4ob3o14b3o5bo39b3o5bo12b2o2bo4bo2b2o
59bo4bo2b2o2bo$52b2obo3b3o3bo14bo3bo2bo14b2ob3o2b2o12bo12bo13bob2obo2b
o11b4o8b4o12bob2obo2bo12bo12bo9b4o8b4o8b4o8b4o9bo4bo4bobo$51b2o3b3o3b
3ob2o12b2o6bo13b2o4bobo14bob2o4b2obo15bobo15b2o2b2o6b2o2b2o12bobo39b2o
2b2o6b2o2b2o6b2o2b2o6b2o2b2o8b2o8b2o2bo$51bob3o3b3o4b2o8b6o3bo2bo12bo
3b2obobobo16b4o20bob4o42bob4o14b2o8b2o58bo4bo4bo2b3o$56b3o3b2o2bo9bobo
10b2o9b3obo3b2o2b3o11bo2b4o2bo14bob2o5bo14b2o6b2o14bob2o5bo13b2o8b2o
13b2o6b2o14b2o6b2o10b3obob2o3b3o$51bo2bobo2bobobo2b2o31bo4b4obo3b2o12b
2ob2ob2o14b2o6b2o15b3o4b3o13b2o6b2o13b2o10b2o12b3o4b3o14b3o4b3o12bo2bo
2bo2bo$51bob2o4bobo14b2o13bo7bobo3bo3bo3b2o11bob6obo13b2o5bobo13b2o3bo
2bo3b2o11b2o5bobo14bo10bo11b2o3bo2bo3b2o10b2o3bo2bo3b2o14bob2obo4bo$
54bo21b2o12b2o12b4obo16bo8bo14bo47bo21bo2b2o4b2o2bo61b2ob3o4bo$105b2ob
o41b2o3b2o15bo12bo12b2o3b2o16bob2o4b2obo11bo12bo10bo12bo14b2o$75bo13bo
13bo20bo5b2o5bo13b2ob2ob2o16b3o2b3o16b2ob2ob2o16bobo2bobo16b3o2b3o16b
3o2b3o18b3o2bo$74b3o11b3o13b5obo12b2o3b2o2b2ob4o13bob2o20bo4bo18bob2o
17bob3o2b3obo15bo4bo18bo4bo21b2obo$74b2o12b2o13bo2bobobo11bo2b4o4bobo
3bo13bo47bo18b2o2bob2obo2b2o60b2o2bobob2o$76bo13bo13b2o2bobo15bobo3b2o
bo18b2o2bo17b6o20b2o2bo12bo2bo3b2o3bo2bo13b6o18b6o16bo2bo5bo$125b3o6b
2o38bo2b4o2bo38bo7bo15bo2b4o2bo14bo2b4o2bo15b7ob2o$125bo8b2o18b2o18bo
2bo2bo2bo18b2o18b2obo2bo3bo13bo2bo2bo2bo14bo2bo2bo2bo18bo4b2o$148b2o4b
2o4b2o11bob2o7bo16bo2bo24b3o13bob2o7bo12bob2o7bo11b3o5b2o2b2o$148b2ob
2o4b2ob2o19b2obo11b3o2b4o2b3o9b2o9b4o19b2obo20b2obo11b3o11bo$147bo3b2o
4b2o3bo15bo2b2o12bobob3o2b3obobo8b2o3bob4o3b2o15bo2b2o19bo2b2o12bo12bo
bo$151b2o4b2o16bo2b2o16bo4bo2bo4bo13b2o5bo2b2o12bo2b2o19bo2b2o16b3o8b
2ob2o$175bo23b2o4b2o21bobo16bo23bo25b3o3b2obo$228b2o20b2o22b2o15bo4b3o
b2o2bo$224bo3bo16bo3bo2bo3bo17b2o15bo4bo5bo$224bo3b2o14b4o6b4o10b2o4b
2o4b2o9bo2b2o3bo6bo$224bo5bo12bo3bo6bo3bo9b2ob2o4b2ob2o10b2o5b4o4bo$
225bob2o15bobo2bo2bo2bobo9bo3b2o4b2o3bo9b2o9b3o$248bo4bo17b2o4b2o18bo
10$10b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o$
6b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2ob
o2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob
2o14b2obo2bob2o14b2obo2bob2o$6b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o
6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b
2o6b2o$6bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bo
bo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo
14bobo4bobo$8b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o
2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o$7b2ob2ob2o
16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b
2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o$9bo2bo
20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo
20bo2bo20bo2bo$8bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo18bo4bo
18bo4bo18bo4bo17bo6bo17bo4bo17bo6bo$4b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3o
b2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o
10b3ob2o2b2ob3o10b3ob2o2b2ob3o10b3ob2o2b2ob3o13bo6bo13b3ob2o2b2ob3o13b
o6bo$3bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5b
o2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo8bo5bo2bo5bo32bo5bo2bo5bo$
4bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b
3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo2b3o2b3o2bo10bo
2b3o2b3o2bo13b8o13bo2b3o2b3o2bo13b8o$8bob2obo18bob2obo18bob2obo18bob2o
bo18bob2obo18bob2obo18bob2obo18bob2obo18bob2obo18bob2obo16b2o6b2o16bob
2obo16b2o6b2o$6b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b
2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o38b2o6b2o$250b2o46b2o$6b2o6b2o14b2o6b
2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o
6b2o17bo2bo17b2o6b2o17bo2bo$5bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo12bo
2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4b
o2bo12bo2bo4bo2bo36bo2bo4bo2bo11b3o2b4o2b3o$5b2obo4bob2o12b2obo4bob2o
12b2obo4bob2o12bobo6bobo12bobo6bobo12b2obo4bob2o12bobo6bobo12bobo6bobo
12b2obo4bob2o12bobo6bobo16bo2bo16bobo6bobo10bobob3o2b3obobo$4b2o10b2o
10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o10b2o
10b2o10b2o10b2o10b2o11b3ob4ob3o11b2o10b2o10bo4bo2bo4bo$8bo4bo18bo4bo
18bo4bo13b3o10b3o8b3o10b3o13bo4bo13b3o10b3o8b3o10b3o13bo4bo13b3o10b3o
9bo12bo9b3o10b3o12b2o4b2o$4b6o2b6o10b6o2b6o10b6o2b6o11bobo6bobo12bobo
6bobo11b6o2b6o11bobo6bobo12bobo6bobo11b6o2b6o11bobo6bobo12b2o3b2o3b2o
12bobo6bobo$3b4ob2o2b2ob4o8b4ob2o2b2ob4o8b4ob2o2b2ob4o12b2o4b2o16b2o4b
2o12b4ob2o2b2ob4o12b2o4b2o16b2o4b2o12b4ob2o2b2ob4o12b2o4b2o18b4o18b2o
4b2o16b2o4b2o$2b2o14b2o6b2o14b2o6b2o14b2o10bo2bo2bo2bo14bo2bo2bo2bo10b
2o14b2o9bo3bo2bo3bo13bo2bo2bo2bo10b2o14b2o10bo2bo2bo2bo16bo4bo16bo2bo
2bo2bo14bo2bo2bo2bo$4bo12bo10bo12bo10bo12bo12bobo4bobo14bobo4bobo12bo
12bo11bo10bo13bobo4bobo12bo12bo12bobo4bobo38bobo4bobo14bo2bo2bo2bo$77b
2o8b2o12b2o8b2o36b2obo4bob2o12b2o8b2o36b2o8b2o36b2o8b2o12b2obob2obob2o
$3bobob2o4b2obobo8bobob2o4b2obobo8bobob2o4b2obobo11bobo4bobo14bobo4bob
o11bobob2o4b2obobo13bo4bo16bobo4bobo11bobob2o4b2obobo11bobo4bobo12bob
2ob4ob2obo12bobo4bobo14bobo4bobo$3bo3b2o4b2o3bo8bo3b2o4b2o3bo8bo3b2o4b
2o3bo8b2obob2o2b2obob2o8b2obob2o2b2obob2o8bo3b2o4b2o3bo11b3o4b3o11b2ob
ob2o2b2obob2o8bo3b2o4b2o3bo8b2obob2o2b2obob2o8b2ob2o6b2ob2o8b2obob2o2b
2obob2o8b2obo8bob2o$5b4o4b4o12b4o4b4o12b4o4b4o9bo3bo8bo3bo6bo3bo8bo3bo
9b4o4b4o33bo3bo8bo3bo9b4o4b4o9bo3bo8bo3bo6bo2bobo2b2o2bobo2bo6bo3bo8bo
3bo6bobobobo4bobobobo$74bo5b2o2b2o5bo6bo5b2o2b2o5bo35bo6bo11bo5b2o2b2o
5bo30bo5b2o2b2o5bo7bo4bo4bo4bo7bo5b2o2b2o5bo7bobob3o2b3obobo$7b2o4b2o
16b2o4b2o16b2o4b2o13bobo8bobo10bobo8bobo13b2o4b2o15bo8bo12bobo8bobo13b
2o4b2o13bobo8bobo16b2o16bobo8bobo11bo10bo$6bo8bo14bo8bo14bo8bo62bo8bo
13bobo6bobo37bo8bo42b2o40b3o8b3o$9bo2bo20bo2bo20bo2bo15bo12bo10bo12bo
15bo2bo16bo2bo4bo2bo11bo12bo15bo2bo15bo12bo16b2o16bo12bo11bo10bo$5b2o
2bo2bo2b2o12b2o2bo2bo2b2o12b2o2bo2bo2b2o60b2o2bo2bo2b2o60b2o2bo2bo2b2o
36bobobo2bobobo37bo8bo$4bo4b4o4bo10bo4b4o4bo10bo4b4o4bo10b2o10b2o10b2o
10b2o10bo4b4o4bo12bobo4bobo12b2o10b2o10bo4b4o4bo10b2o10b2o10b3o8b3o10b
2o10b2o$7bo6bo16bo6bo16bo6bo64bo6bo16b3o2b3o40bo6bo36bo3bo2b2o2bo3bo
36b2o4b2o$4bob4o2b4obo10bob4o2b4obo10bob4o2b4obo9b3o10b3o8b3o10b3o9bob
4o2b4obo14b2o2b2o13b3o10b3o9bob4o2b4obo9b3o10b3o9bobo8bobo9b3o10b3o12b
o5bo$3b16o8b16o8b16o8b2o12b2o8b2o12b2o8b16o32b2o12b2o8b16o8b2o12b2o13b
6o13b2o12b2o12bobo3bobo$3b2ob3o8b2o8b2ob3o8b2o8b2ob3o8b2o9bob2o6b2obo
10bob2o6b2obo9b2ob3o8b2o12bo2b2o2bo13bob2o6b2obo9b2ob3o8b2o9bob2o6b2ob
o34bob2o6b2obo14bo4bobo$7b3o2bo18b3o2bo18b3o2bo15bo3bo4bo3bo10bo3bo4bo
3bo13b3o2bo18bo7bo12bo3bo4bo3bo13b3o2bo15bo3bo4bo3bo34bo3bo4bo3bo13b2o
6bo$6bo3b4o16bo3b4o16bo3b4o19bo2bo20bo2bo17bo3b4o17bobo2bo2bo17bo2bo
17bo3b4o19bo2bo18b2ob2ob2o18bo2bo18bo5bo$7bo3bo2b2o15bo3bo2b2o15bo3bo
2b2o63bo3bo2b2o16b2ob2o42bo3bo2b2o40bob2obobo38b2o6bo$8b2o4b2o16b2o4b
2o16b2o4b2o14b2ob4ob2o14b2ob4ob2o16b2o4b2o15bo2b2o18b2ob4ob2o16b2o4b2o
14b2ob4ob2o13b2obo4bo2bo13b2ob4ob2o14bo7bo$7bo6bo16bo6bo16bo6bo15bo8bo
14bo8bo15bo6bo17b2o20bo8bo15bo6bo15bo8bo14bobo4bo3bo12bo8bo13b3o5bo$
76b2o10b2o10b2o10b2o38b3ob2obo12b2o10b2o34b2o10b2o12bobo4bob2o11b2o10b
2o12bo2b2ob2o$13b2o22b2o22b2o70b2o22bo47b2o41bob2ob2o36b4o2b2obobob3o$
7b3o3b2o16b3o3b2o16b3o3b2o12bo2bo8bo2bo8bo2bo8bo2bo12b3o3b2o15bobo2bob
o13bo2bo8bo2bo12b3o3b2o12bo2bo8bo2bo10b3ob2ob2o13bo2bo8bo2bo7bo2bo2bo
2b3o2bobo$7b3o5bo15b3o5bo15b3o5bo63b3o5bo14b6o3b2o38b3o5bo38b2ob2o2bo
40b4obo3b2obo$7bob2obo2bo15bob2obo2bo15bob2obo2bo11b4o8b4o8b4o8b4o12bo
b2obo2bo13bo4bob2obo11b4o8b4o12bob2obo2bo11b4o8b4o17bobobo10b4o8b4o7bo
3bo6bob2o$8bobo21bobo21bobo15b2o2b2o6b2o2b2o6b2o2b2o6b2o2b2o12bobo17b
2ob3o3b2o11b2o2b2o6b2o2b2o12bobo15b2o2b2o6b2o2b2o12bo3bob2o10b2o2b2o6b
2o2b2o7bo9bo$9bob4o18bob4o18bob4o66bob4o14bo5b2o44bob4o46b2o38bobo3bo
3b2o$6bob2o5bo14bob2o5bo14bob2o5bo14b2o6b2o14b2o6b2o14bob2o5bo15bob2o
3b4o12b2o6b2o14bob2o5bo14b2o6b2o18bo2b4o13b2o6b2o15bo3bo2b3o$5b2o6b2o
14b2o6b2o14b2o6b2o15b3o4b3o14b3o4b3o13b2o6b2o16bo2b2obo2bo13b3o4b3o13b
2o6b2o15b3o4b3o12b2ob4o2b2o2bo12b3o4b3o15bo5b2o$5b2o5bobo14b2o5bobo14b
2o5bobo13b2o3bo2bo3b2o10b2o3bo2bo3b2o11b2o5bobo13b2obo8bo11b2o3bo2bo3b
2o11b2o5bobo13b2o3bo2bo3b2o9b2o2b3o7bo10b2o3bo2bo3b2o12bo3b4o$6bo23bo
23bo71bo28b2o41bo44b2o2bo5b2obo36b2obo2bo3b2o$6b2o3b2o17b2o3b2o17b2o3b
2o15bo12bo10bo12bo12b2o3b2o19b2o2bo2bo12bo12bo12b2o3b2o15bo12bo14b2o3b
obo12bo12bo14bo5bobo$7b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b3o2b3o16b3o2b
3o16b2ob2ob2o18bobo3bo15b3o2b3o16b2ob2ob2o16b3o2b3o16bobo4bo16b3o2b3o
13b2ob2o5bob3o$8bob2o20bob2o20bob2o20bo4bo18bo4bo18bob2o17b2o9bo15bo4b
o18bob2o20bo4bo18b2ob2obo17bo4bo15bo3bo7b2o$9bo23bo23bo71bo19bo2bo3bo
2b2o40bo45b2o2b2o46bob2o$10b2o2bo19b2o2bo19b2o2bo17b6o18b6o20b2o2bo14b
o2bo3bob4o14b6o20b2o2bo17b6o19bo4bo17b6o16b2o3b4o$78bo2b4o2bo14b4o2b4o
37bo2bo21b4o2b4o38bo2b4o2bo16bo5bo15bo2b4o2bo17bo2b2o$10b2o22b2o22b2o
18bo2bo2bo2bo14bo2bo2bo2bo37b3o3bo18bo2bo2bo2bo18b2o18bo2bo2bo2bo15b3o
4bo15bo2bo2bo2bo16b2o$9bo2bo20bo2bo20bo2bo16bob2o7bo13bo8bo17b4o17bo3b
4o16bo8bo13b2o2bo2bob3o12bob2o7bo14b2ob2o17bob2o7bo15b2o2b2o$34b2o22b
2o25b2obo13b2o6b2o13bob2o4b2obo15b3ob2o16b2o6b2o12bo2b3o2bobob2o19b2ob
o19bo24b2obo14bobo2bo2bo$9bo2bo20b4o48b2o37b2ob2ob2ob2ob2o9b2o2bo8b3o
32bobobo2b3o5bo15bo2b2o14bo5bo22bo2b2o15b2obo2bo$5b3ob4ob3o12b2obo4bob
2o13bob2o2b2obo18b2o15b4obo4bob4o8bo4b6o4bo7bo2bobo4bo4b2o8b4obo4bob4o
7b2obob2o2b4ob3o12bo2b2o16b2o5b2o2b3o13bo2b2o16b3obo5bobo$4bo12bo11b2o
8b2o12b2ob6ob2o16b3o14bobo2bo2b2o2bo2bobo11b8o17b2obo3bo3bo6bobo2bo2b
2o2bo2bobo6b2o4b2o21bo19b2o3bo5bo3bo12bo19bo4b3o3b4o$5b2o3b2o3b2o11bo
2bo6bo2bo10bo2bobo2bobo2bo18bo14bo6b2o6bo10b2o8b2o9bobo2b2o5bo2b2o8bo
6b2o6bo8bo2b2o6b2o18b2o16bob4o3bo3bo16b2o18b4o5bobo$9b4o20b4o16bo3bo2b
o3bo61bo8bo14bobo4bo37bob2o6b5o34b2o3bo20bo3b2o3b2o12b4ob2o4bo$8bo4bo
18b2o2b2o19bo2bo22b2o18b2ob2ob2o14bo10bo13bo6bo17b2ob2ob2o15b2o5bo2b2o
14b2o2b2o14b2ob2o5b3o12b3obo2bobo2bo9b2o5b2o4bo$33b4o20b4o17b2o2b3ob2o
15bo6bo14bobo6bobo16bo4b2o15bo6bo15b2ob2obo15b3ob6ob3o10b2ob2o2b2o2bo
11b2o2bob3o2bobobo15bo4bo$9bo2bo20bo2bo42bobo4b2o14b2ob2o2bo16bob6obo
19bob3o14b2ob2o2bo17b2o3bo14bo14bo11bo6b3o11b2obobo5b3obo13b2o2b2obo$
10b2o46b2o17bobobob2o3bo13b2o2bo44bobob3o16b2o2bo25bo15bob2o6b2obo12bo
6b3o21bo2bobo8b3obobo2b2ob4o$9b4o21b2o39b3o2b2o3bob3o12b2o3bob2o15bo8b
o13bobo5b3o14b2o3bob2o17bo6bo16b6o16b2o6bo21b2o2b3o8b5obo3b2o$7bo6bo
17b2o2b2o19bo2bo14b2o3bob4o4bo10b3o4b2o15bobob4obobo11bo4b2o4b2o12b3o
4b2o18b3ob3o14bo2b6o2bo36b4o3b2o2b2o11bo7b2o$6bo2bo2bo2bo15b3o2b3o17b
2o2b2o13b2o3bo3bo3bobo18bob2o11b2o3b4o3b2o10bob2o4bo4bo19bob2o13b2obo
20b2ob4ob2o13b3o6bob2o10b2o2bo4b2o15b3o$6bo8bo14b2o6b2o14b2o6b2o16bob
4o16b2o6bobo11b2o4b2o4b2o12bobo2bo5bo12b2o6bobo14b2o20bob8obo12bo9b3o
17bo2bo16b2o4bo$8bo4bo17bo6bo16bo6bo18bob2o15bo2bo5b2obo12bo10bo13bo6b
o3bo10bo2bo5b2obo13bobo5bo14bo10bo23bo16b3o2bo21b2o$6b2o6b2o14b2o6b2o
14bo8bo22bo14b2o6bo2bo9b2obo2bo4bo2bob2o11b2obob3o2bo11b2o6bo2bo13b2o
4bo2bo36b2obo22bo2b3obo19bo2b2o$55bo6bo16bob5o16bo2bo2b3o11b2obob2o4b
2obob2o11bo4b2o2b2o12bo2bo2b3o14b3o4bo2b2o36bob3o3b2o15bo4bo19b2o$79bo
bobo2bo15bo3bo16bobobob4obobobo12bo8bo13bo3bo17bo9bo2bo11b3o6b3o12bo3b
3ob2o16b3ob2obo15bo3bo2b3o$79bobo2b2o17bo20bo4b4o4bo12bo4bo3bo15bo19bo
11bo2bo10bob8obo12b4o6bobo15b2o3bo13b2ob2ob3o2bobo$104b3o3bo12b4o8b4o
16bo20b3o3bo12b2o10bo2bo10bob2o4b2obo17bo4bobo15b2o2b2o14bob2ob4o4bo$
106b2o2bo11bo2bo3bo2bo3bo2bo10b2o4bob2o18b2o2bo16b5ob3ob3o9b3o6b3o14bo
4b2obo15bobo17bobo6b6o$124bo3bo4bo3bo11bo2bob3o3bo33bob4o2bo3bo3bo7b2o
bo2bo4bo2bob2o8bo26b3o4b2o11bo9b3obo$122b2o14b2o10bo3bo4bo18b2o14bobo
3bo2bo2b3o9b2obob2o4b2obob2o8bobo23bobo4bo2bo13b2o8bo$156bo16bo3bo2bo
3bo10bobo2bob2o17bobo6bobo10b2obo8b4o9b2obo9bo15bo3b4o$172b4o6b4o18b2o
14bo2bob4obo2bo10bo2bo6b5o9b3o11bo7bo3bo2bo2bo4bo$171bo3bo6bo3bo13bo2b
3o12b3ob4o2b4ob3o7bo4b2o7bo9bo5bo4bo2b2o8bo5bobo3b3o$172bobo2bo2bo2bob
o14bo22b3o2b3o12b2obo6b3o11b2o2bo3bo16b2o5b4o$176bo4bo19bo17bobo10bobo
9bobob2o2b2obo3bo7bo2b2o3b2ob4obo9bo9bo$219bo14bo11b2o4b2obo2bo10b2o5b
2o3b3o20bo$219bo14bo10bo7bobo17bobo3bo22b3o$249b2ob2o13bo4bo2bobobo14b
3o4bobo$250bo2bo19bo3bo15b2ob2o2bo3bo$249bobo20bo2bobo15b2ob2o3b3o$
276bo15bob4o6b2o$293bobo5$10b2o22b2o22b2o22b2o22b2o22b2o22b2o22b2o22b
2o22b2o22b2o22b2o$6b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o
14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2obo2bob2o14b2o
bo2bob2o14b2obo2bob2o14b2obo2bob2o$6b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o
14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b2o14b2o6b
2o$6bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo
14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo14bobo4bobo$8b
2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o
18b2o2b2o18b2o2b2o18b2o2b2o18b2o2b2o$7b2ob2ob2o16b2ob2ob2o16b2ob2ob2o
16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b2ob2ob2o16b
2ob2ob2o16b2ob2ob2o16b2ob2ob2o$9bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo
2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo20bo2bo$7bo6bo17bo4bo18bo4bo17bo
6bo17bo4bo18bo4bo17bo6bo17bo4bo17bo6bo16bo6bo17bo4bo18bo4bo$7bo6bo13b
3ob2o2b2ob3o10b3ob2o2b2ob3o13bo6bo13b3ob2o2b2ob3o10b3ob2o2b2ob3o13bo6b
o13b3ob2o2b2ob3o13bo6bo16bo6bo13b3ob2o2b2ob3o10b3ob2o2b2ob3o$27bo5bo2b
o5bo8bo5bo2bo5bo32bo5bo2bo5bo8bo5bo2bo5bo32bo5bo2bo5bo56bo5bo2bo5bo8bo
5bo2bo5bo$7b8o13bo2b3o2b3o2bo10bo2b3o2b3o2bo13b8o13bo2b3o2b3o2bo10bo2b
3o2b3o2bo13b8o13bo2b3o2b3o2bo13b8o16b8o13bo2b3o2b3o2bo10bo2b3o2b3o2bo$
6b2o6b2o16bob2obo18bob2obo16b2o6b2o16bob2obo18bob2obo16b2o6b2o16bob2ob
o16b2o6b2o14b2o6b2o16bob2obo18bob2obo$30b2o6b2o14b2o6b2o38b2o6b2o14b2o
6b2o38b2o6b2o62b2o6b2o14b2o6b2o$10b2o70b2o70b2o46b2o22b2o$9bo2bo17b2o
6b2o14b2o6b2o17bo2bo17b2o6b2o14b2o6b2o17bo2bo17b2o6b2o17bo2bo20bo2bo
17b2o6b2o14b2o6b2o$30bo6bo2bo12bo2bo4bo2bo37bo6bo2bo13bo6bo2bo37bo6bo
2bo61bo6bo2bo13bo6bo2bo$9bo2bo19bo6bo13bobo6bobo16bo2bo19bo6bo16bo6bo
17bo2bo19bo6bo17bo2bo20bo2bo19bo6bo16bo6bo$5b3ob4ob3o13bob2o3bo14b2o
10b2o11b3ob4ob3o13bob2o3bo16bob2o3bo15b3ob4ob3o13bob2o3bo15b3ob4ob3o
12b3ob4ob3o13bob2o3bo16bob2o3bo$4bo12bo14b4ob3o11b3o10b3o9bo12bo14b4ob
3o16b4ob3o12bo12bo14b4ob3o12bo12bo10bo12bo14b4ob3o16b4ob3o$5b2o3b2o3b
2o12b2o9bo12bobo6bobo12b2o3b2o3b2o12b2o9bo12b2o9bo12b2o3b2o3b2o12b2o9b
o12b2o3b2o3b2o12b2o3b2o3b2o12b2o9bo12b2o9bo$9b4o15b3o4bo3b2o14b2o4b2o
18b4o15b3o4bo3b2o11b3o4bo3b2o16b4o15b3o4bo3b2o16b4o20b4o15b3o4bo3b2o
11b3o4bo3b2o$8bo4bo14b2o6b3o15bo2bo2bo2bo16bo4bo14b2o6b3o13b2o6b3o17bo
4bo14b2o6b3o17bo4bo18bo4bo14b2o6b3o13b2o6b3o$28b2o11bo12bobo4bobo36b2o
11bo10b2o11bo34b2o11bo58b2o11bo10b2o11bo$39bo2bo10b2o8b2o46bo2bo20bo2b
o44bo2bo68bo2bo20bo2bo$4bob2ob4ob2obo9bo2bob2o5b3o12bobo4bobo12bob2ob
4ob2obo9bo2bob2o5b3o9bo2bob2o5b3o10bob2ob4ob2obo9bo2bob2o5b3o10bob2ob
4ob2obo10bob2ob4ob2obo9bo2bob2o5b3o9bo2bob2o5b3o$3b2ob2o6b2ob2o7bo3bo
7bo2bo9b2obob2o2b2obob2o8b2ob2o6b2ob2o7bo3bo7bo2bo8bo3bo7bo2bo9b2ob2o
6b2ob2o7bo3bo7bo2bo9b2ob2o6b2ob2o8b2ob2o6b2ob2o7bo3bo7bo2bo8bo3bo7bo2b
o$2bo2bobo2b2o2bobo2bo7bobo7b2o11bo3bo8bo3bo6bo2bobo2b2o2bobo2bo7bobo
7b2o12bobo7b2o11bo2bobo2b2o2bobo2bo7bobo7b2o11bo2bobo2b2o2bobo2bo6bo2b
obo2b2o2bobo2bo7bobo7b2o12bobo7b2o$3bo4bo4bo4bo8bo10bobo9bo5b2o2b2o5bo
7bo4bo4bo4bo8bo10bobo10bo10bobo10bo4bo4bo4bo8bo10bobo10bo4bo4bo4bo8bo
4bo4bo4bo8bo10bobo10bo10bobo$10b2o16b3o8b2o11bobo8bobo16b2o16b3o8b2o
11b3o8b2o17b2o16b3o8b2o17b2o22b2o16b3o8b2o11b3o8b2o$7bo2b2o2bo13b3o8bo
2bo39b2o16b3o8bo2bo9b3o8bo2bo15b2o16b3o8bo2bo15b2o22b2o16b3o8bo2bo9b3o
8bo2bo$6b2o6b2o15b2ob2o3b2obo9bo12bo16b2o19b2ob2o3b2obo12b2ob2o3b2obo
15b2o19b2ob2o3b2obo15b2o22b2o19b2ob2o3b2obo12b2ob2o3b2obo$4b2o4b2o4b2o
13b2ob2ob3o37bobobo2bobobo14b2ob2ob3o15b2ob2ob3o13bobobo2bobobo14b2ob
2ob3o13bobobo2bobobo12bobobo2bobobo14b2ob2ob3o15b2ob2ob3o$7bo2b2o2bo
21bo2bo12b2o10b2o10b3o8b3o18bo2bo20bo2bo12b3o8b3o18bo2bo12b3o8b3o10b3o
8b3o18bo2bo20bo2bo$9bo2bo20bo3b2o36bo3bo2b2o2bo3bo14bo3b2o18bo3b2o12bo
3bo2b2o2bo3bo14bo3b2o12bo3bo2b2o2bo3bo8bo3bo2b2o2bo3bo14bo3b2o18bo3b2o
$6b2obo2bob2o14bo3b4o13b3o10b3o9bobo8bobo12bo3b4o16bo3b4o14bobo8bobo
12bo3b4o14bobo8bobo10bobo8bobo12bo3b4o16bo3b4o$5bobobo2bobobo15bobobo
14b2o12b2o13b6o18bobobo19bobobo19b6o18bobobo19b6o18b6o18bobobo19bobobo
$5bobo6bobo15bo3bo15bob2o6b2obo38bo3bo19bo3bo43bo3bo67bo3bo19bo3bo$4b
2obo2b2o2bob2o13b2obobo15bo3bo4bo3bo37b2obobo18b2obobo42b2obobo66b2obo
bo18b2obobo$3bobobobo2bobobobo12bo3bob2o18bo2bo18b2ob2ob2o16bo3bob2o
16bo3bob2o17bobob2o17bo3bob2o16b2ob2ob2o16b2ob2ob2o16bo3bob2o16bo3bob
2o$2b2obobobo2bobobob2o11b4o4bo40bob2obobo15b4o4bo15b4o4bo17bo2b2o17b
4o4bo16bob2obobo16bob2obobo15b4o4bo15b4o4bo$5bobob4obobo12b2o4b4obo13b
2ob4ob2o13b2obo4bo2bo12b2o4b4obo12b2o4b4obo17bobo16b2o4b4obo12b2obo4bo
2bo12b2obo4bo2bo12b2o4b4obo12b2o4b4obo$2b2obobobo2bobobob2o8bo3b3o2bo
2b2o12bo8bo14bobo4bo3bo10bo3b3o2bo2b2o10bo3b3o2bo2b2o17bo16bo3b3o2bo2b
2o12bobo4bo3bo12bobo4bo3bo10bo3b3o2bo2b2o10bo3b3o2bo2b2o$7b2ob2ob2o13b
2o5bo2b2o2bo9b2o10b2o12bobo4bob2o11b2o5bo2b2o2bo9b2o5bo2b2o2bo16b2o15b
2o5bo2b2o2bo11bobo4bob2o13bobo4bob2o11b2o5bo2b2o2bo9b2o5bo2b2o2bo$3bo
3bobo2bobo3bo7bo2bo2b3o2bob2ob2o36bob2ob2o11bo2bo2b3o2bob2ob2o6bo2bo2b
3o2bob2ob2o10bo2bo5bo10bo2bo2b3o2bob2ob2o12bob2ob2o17bob2ob2o11bo2bo2b
3o2bob2ob2o6bo2bo2b3o2bob2ob2o$3bo3bobo2bobo3bo7bob2obo3b3obo2bo8bo2bo
8bo2bo10b3ob2ob2o12bob2obo3b3obo2bo7bob2obo3b3obo2bo10b5o4b2o10bob2obo
3b3obo2bo10b3ob2ob2o15b3ob2ob2o12bob2obo3b3obo2bo7bob2obo3b3obo2bo$5bo
bob4obobo11bo2b4o3b2ob2o35b2ob2o2bo14bo2b4o3b2ob2o9bo2b4o3b2ob2o10bo4b
o2b2o2bo10bo2b4o3b2ob2o11b2ob2o2bo16b2ob2o2bo14bo2b4o3b2ob2o9bo2b4o3b
2ob2o$6b2o6b2o10bo5bobo2b2obobo8b4o8b4o17bobobo9bo5bobo2b2obobo7bo5bob
o2b2obobo9bo4bo4bobo9bo5bobo2b2obobo17bobobo19bobobo9bo5bobo2b2obobo7b
o5bobo2b2obobo$5b3o6b3o9bo4b3o5bobo8b2o2b2o6b2o2b2o12bo3bob2o10bo4b3o
5bobo8bo4b3o5bobo10b2o8b2o2bo7bo4b3o5bobo14bo3bob2o16bo3bob2o10bo4b3o
5bobo8bo4b3o5bobo$3bo5b4o5bo13bo4b2obo44b2o17bo4b2obo15bo4b2obo10bo4bo
4bo2b3o13bo4b2obo20b2o22b2o17bo4b2obo15bo4b2obo$2bo2bobob4obobo2bo8bo
4b5o16b2o6b2o18bo2b4o11bo4b5o14bo4b5o12b3obob2o3b3o12bo4b5o20bo2b4o17b
o2b4o11bo4b5o14bo4b5o$2bo5b2o2b2o5bo10b2o3b5o14b3o4b3o12b2ob4o2b2o2bo
12b2o3b5o14b2o3b5o12bo2bo2bo2bo16b2o3b5o12b2ob4o2b2o2bo10b2ob4o2b2o2bo
12b2o3b5o14b2o3b5o$4bo12bo13bo3b2o15b2o3bo2bo3b2o9b2o2b3o7bo13bo3b2o
18bo3b2o19bob2obo4bo12bo3b2o14b2o2b3o7bo9b2o2b3o7bo13bo3b2o18bo3b2o$2b
2o14b2o10b2o4b3o36b2o2bo5b2obo13b2o4b3o15b2o4b3o16b2ob3o4bo12b2o4b3o
12b2o2bo5b2obo10b2o2bo5b2obo13b2o4b3o15b2o4b3o$7bo5b3o13bo2bo3b3o13bo
12bo14b2o3bobo13bo2bo3b3o14bo2bo3b3o17b2o19bo2bo3b3o17b2o3bobo16b2o3bo
bo13bo2bo3b3o14bo2bo3b3o$5b2ob2o2b4o16bo6bo15b3o2b3o16bobo4bo17bo6bo
16bo6bo17b3o2bo17bo6bo15bobo4bo16bobo4bo17bo6bo16bo6bo$8b2o2bo3bo15bo
3b3o17bo4bo18b2ob2obo17bo3b3o17bo3b3o20b2obo17bo3b3o17b2ob2obo17b2ob2o
bo17bo3b3o17bo3b3o$5bo4bo3b2o20b3o40b2o2b2o23b3o21b3o15b2o2bobob2o20b
3o16b2o2b2o18b2o2b2o23b3o21b3o$5bo6bo16bo2bo5bo17b6o19bo4bo14bo2bo5bo
14bo2bo5bo15bo2bo5bo13bo2bo5bo18bo4bo18bo4bo14bo2bo5bo14bo2bo5bo$6bo7b
2o14b3o21b4o2b4o16bo5bo15b3o21b3o22b7ob2o13b3o23bo5bo17bo5bo15b3o21b3o
$5b2ob2o3b2o2bo18b2ob2o13bo2bo2bo2bo15b3o4bo21b2ob2o19b2ob2o17bo4b2o
19b2ob2o14b3o4bo16b3o4bo21b2ob2o19b2ob2o$5bob4o4bo21bobo14bo8bo15b2ob
2o25bobo21bobo12b3o5b2o2b2o19bobo15b2ob2o19b2ob2o25bobo21bobo$5bo3b3o
3bo22bo15b2o6b2o20bo25bo23bo13b3o11bo19bo21bo23bo25bo23bo$5bobo5bo2b2o
12bobo44bo5bo18bobo21bobo18bo12bobo11bobo20bo5bo23b2o17bobo21bobo$7bob
obob5o13bo2b2o2b2o11b4obo4bob4o9b2o5b2o2b3o13bo2b2o2b2o15bo2b2o2b2o12b
3o8b2ob2o11bo2b2o2b2o12b2o5b2o2b3o13bo6bo16bo2b2o2b2o15bo2b2o2b2o$12b
4o15bo2b2o2b3o9bobo2bo2b2o2bo2bobo7b2o3bo5bo3bo12bo2b2o2b3o14bo2b2o2b
3o16b3o3b2obo12bo2b2o2b3o10b2o3bo5bo3bo11b2o5bobo15bo2b2o2b3o14bo2b2o
2b3o$11bo18b2o6bobo10bo6b2o6bo9bob4o3bo3bo12b2o6bobo13b2o6bobo10bo4b3o
b2o2bo13b2o6bobo11bob4o3bo3bo11b2o2b2obo3bo13b2o6bobo13b2o6bobo$7bo20b
2o2b2o3b2o2bo34b2o3bo18b2o2b2o3b2o2bo10b2o2b2o3b2o2bo9bo4bo5bo13b2o2b
2o3b2o2bo10b2o3bo19bo2b3o2b2obo11b2o2b2o3b2o2bo10b2o2b2o3b2o2bo$8bob2o
17b2ob2o2b2o2bo14b2ob2ob2o13b2ob2o5b3o12b2ob2o2b2o2bo12b2ob2o2b2o2bo
10bo2b2o3bo6bo10b2ob2o2b2o2bo11b2ob2o5b3o12bobob2o2b2ob2o11b2ob2o2b2o
2bo12b2ob2o2b2o2bo$9b5o15b4o2b2o18bo6bo13b2ob2o2b2o2bo13b4o2b2o16b4o2b
2o15b2o5b4o4bo9b4o2b2o15b2ob2o2b2o2bo15bobo19b4o2b2o16b4o2b2o$11b3o16b
obo2bo18b2ob2o2bo16bo6b3o14bobo2bo18bobo2bo16b2o9b3o12bobo2bo18bo6b3o
15bobo3b3o14bobo2bo18bobo2bo$8b2o21b2o21b2o2bo19bo6b3o15b2o22b2o24bo
21b2o21bo6b3o17bobob3o15b2o22b2o$30b2ob7o14b2o3bob2o15b2o6bo15b2ob7o
14b2ob7o38b2ob7o14b2o6bo14bob2obobob2o14b2ob7o14b2ob7o$9b4o17bo2bobo2b
2o13b3o4b2o40bo2bobo2b2o14bo2bobo2b2o14b2o22bo2bobo2b2o38b2ob2o2bo16bo
2bobo2b2o14bo2bobo2b2o$10b3o17bo4bo4bo20bob2o12b3o6bob2o12bo4bo4bo13bo
4bo4bo13bo8bo14bo4bo4bo12b3o6bob2o17bob3o14bo4bo4bo13bo4bo4bo$11bo18bo
2bo4bo15b2o6bobo12bo9b3o12bo2bo4bo15bo2bo4bo14b2o7b3o13bo2bo4bo14bo9b
3o14b2o3b3o14bo2bo4bo15bo2bo4bo$10b2o20bo4b2o13bo2bo5b2obo23bo15bo4b2o
17bo4b2o13b2o11bo14bo4b2o25bo14b3o22bo4b2o17bo4b2o$9bo24b2o2bo14b2o6bo
2bo11b2obo26b2o2bo19b2o2bo43b2o2bo13b2obo23b2o4bo20b2o2bo19b2o2bo$8bo
2b2o19bo4bo16bo2bo2b3o14bob3o3b2o17bo4bo18bo4bo16bo8bo16bo4bo15bob3o3b
2o17bo2b3o18bo4bo18bo4bo$7bo5b2o15bo4bo3b2o13bo3bo18bo3b3ob2o15bo4bo3b
2o13bo4bo3b2o12b2o8b2o13bo4bo3b2o12bo3b3ob2o19b2obo16bo4bo3b2o13bo4bo
3b2o$7bobo3b2o13b2obo2bo2b4o14bo21b4o6bobo10b2obo2bo2b4o11b2obo2bo2b4o
12b3o7b2o11b2obo2bo2b4o12b4o6bobo13bo2bo17b2obo2bo2b4o11b2obo2bo2b4o$
27bob2obobo6bo14b3o3bo19bo4bobo9bob2obobo6bo9bob2obobo6bo11b4ob2o4bo
10bob2obobo6bo16bo4bobo16bo16bob2obobo6bo9bob2obobo6bo$4b2o10b2o8bo5bo
4bobo2bo15b2o2bo16bo4b2obo10bo5bo4bobo2bo7bo5bo4bobo2bo8b2o3bobob2ob2o
bo7bo5bo4bobo2bo12bo4b2obo15bo2bob3o11bo5bo4bobo2bo7bo5bo4bobo2bo$3b2o
3bo5b2o2bo7bobo3bob4o5bo32bo21bobo3bob4o5bo6bobo3bob4o5bo6bobo3bob2obo
5bo6bobo3bob4o5bo35bob2o2bo12bobo3bob4o5bo6bobo3bob4o5bo$2bo4b5obobo3b
o8bo13bo15b2o16bobo21bo13bo9bo13bo7b2o6b2o3bo3bo8bo13bo41b3o13bo13bo9b
o13bo$2bob4o5bo2bobo12b2o6b2obo32b2obo8b4o12b2o6b2obo12b2o6b2obo14bo7b
o13b2o6b2obo12bo5b3o15b4o4bo15b2o6b2obo12b2o6b2obo$3b4ob2o17bobo2b4o3b
3o14b2o2b2o14bo2bo6b5o8bobo2b4o3b3o9bobo2b4o3b3o8b2obo5bo4b2o9bobo2b4o
3b3o11b2ob2o2b4o14bo4b4o12bobo2b4o3b3o9bobo2b4o3b3o$4b3o3bo4bo12b2o3b
2ob2o2b2o10b3ob6ob3o9bo4b2o7bo10b2o3b2ob2o2b2o10b2o3b2ob2o2b2o8bo2bo3b
2ob2o2b2o10b2o3b2ob2o2b2o14b2o2bo3bo11b2ob4o4b2o11b2o3b2ob2o2b2o10b2o
3b2ob2o2b2o$12bo2bo12b2o4bo2bo13bo14bo8b2obo6b3o12b2o4bo2bo14b2o4bo2bo
14b5o3b2o14b2o4bo2bo15bo4bo3b2o12b2o5b2o2bobo10b2o4bo2bo14b2o4bo2bo$
52bob2o6b2obo10bobob2o2b2obo3bo57b3ob2o3bo38bo6bo13b2o4b3o5b3o$5b2o8b
2o14b2o2bobo18b6o16b2o4b2obo2bo12b2o2bobo17b2o2bobo14bo7b2o2b2o13b2o2b
obo16bo7b2o10b2obo2bo2b3o17b2o2bobo17b2o2bobo$5b2o8bo15b2o3b3o14bo2b6o
2bo12bo7bobo15b2o3b3o16b2o3b3o13bo3bob2o4b2o13b2o3b3o14b2ob2o3b2o2bo
14b3o3bob2o13b2o3b3o16b2o3b3o$6b3o2bo18bo2b5ob2o13b2ob4ob2o17b2ob2o16b
o2b5ob2o13bo2b5ob2o9bo3bo6bo3bo12bo2b5ob2o12bob4o4bo10b2o7bo2b4o12bo2b
5ob2o13bo2b5ob2o$8b3obob2o15b3o6bo12bob8obo17bo2bo17b3o6bo14b3o6bo12bo
bo3bo2bob2o13b3o6bo12bo3b3o3bo11bo4bo2bo6bo12b3o6bo14b3o6bo$6b2obo2b2o
15b2o22bo10bo16bobo17b2o22b2o22bobo3bob2ob2o11b2o22bobo5bo2b2o10bo9bo
14b2o22b2o$8b2obo17b4o3bobo62b4o3bobo14b4o3bobo11bo3bo3bo2b2ob2o11b4o
3bobo16bobobob5o11b4obo3bo14b4o3bobo14b4o3bobo$8b3o20bo4b3o43b2o19bo4b
3o16bo4b3o12bo11bo15bo4b3o21b4o19b4o16bo4b3o16bo4b3o$30b2o2bo18b3o6b3o
17b2o18b2o2bo19b2o2bo17bo5b2o18b2o2bo24bo19bo5b3o14b2o2bo19b2o2bo$9bo
2b3o18bo4bobo12bob8obo17bo22bo4bobo16bo4bobo15b2o6bo16bo4bobo14bo22bo
6bo19bo4bobo16bo4bobo$7bob2ob2o15bo23bob2o4b2obo36bo23bo23b2o9bo12bo
26bob2o19bo5b3o13bo23bo$9bo2bo16bo8b2o13b3o6b3o16b2o18bo8b2o13bo8b2o
12b2o5bo4bo12bo8b2o17b5o16bo2bo3bobo13bo8b2o13bo8b2o$8b3o3b3o12bo2bo5b
2o10b2obo2bo4bo2bob2o10b2ob3o2b2o13bo2bo5b2o13bo2bo5b2o18bo18bo2bo5b2o
19b3o16bo5b3o14bo2bo5b2o13bo2bo5b2o$4b3o2bo4bo3bo11bo7bo2bo8b2obob2o4b
2obob2o10b2o4bobo15bo7bo2bo12bo7bo2bo12bobo2bob4o13bo7bo2bo14b2o20bo2b
o20bo7bo2bo12bo7bo2bo$3b2obo2bo3bo4bo12b3o4b3o12bobo6bobo12bo3b2obobob
o14b3o4b3o14b3o4b3o14bo3bo19b3o4b3o37bo2bo21b3o4b3o14b3o4b3o$4bob5o2b
2o3bo13bo5b3o11bo2bob4obo2bo10b3obo3b2o2b3o13bo5b3o15bo5b3o12bobo8bo
15bo5b3o16b4o18bo5bobo16bo5b3o15bo5b3o$3bo3bo3b3o2b2o17bob2o11b3ob4o2b
4ob3o7bo4b4obo3b2o16bob2o20bob2o13b2o7bo3b2o16bob2o19b3o17b3o4b3o19bob
2o20bob2o$8bo25b4o17b3o2b3o12bobo3bo3bo3b2o15b4o20b4o13bo10b2ob2o11bo
3b4o21bo17b2ob2o4bo15bo3b4o16bo3b4o$34b2o15bobo10bobo13b4obo20b2o22b2o
14b3ob2o9bobo10bo3b2ob3o18b2o17b2ob2o20bo3b2ob3o14bo3b2ob3o$51bo14bo
14b2obo40b3o7b2o24bo11b2o8b2o16bo21bo21b2o8b2o12b2o8b2o$51bo14bo12bo
26b2o17b3o7b2o11bo11b2o23bo14bo2b2o17b2o6bo26bo23bo$80b5obo13b2o4b2o4b
2o11b2o21bo13bo12bo5bo2bo14bo5b2o14bobo2b6o15bo5bo2bo14bo5bo2bo$79bo2b
obobo13b2ob2o4b2ob2o12bob2o2b3o11bo2bo9b2obo11bobob4o17bobo3b2o14bo2bo
b2ob2o15bobob4o16bobob4o$80b2o2bobo12bo3b2o4b2o3bo11b3ob5o12b3o12bo12b
2o6bo36b2o5b2ob3o14b2o6bo15b2o6bo$103b2o4b2o16bo6b2o12bo13b2o14bo2b2o
13b2o10b2o10b2obobo2bo4bo16bo2b2o19bo2b2o$126bo3bo2bobo23b2obo18bo13b
2o3bo5b2o2bo12bo2b2o25bo23bo$125b2o3bo4b3o23bo15b2ob3o11bo4b5obobo3bo
12bob2o21b2ob3o18b2ob3o$124bo2bo4bo4bo21b2o15b2o2b3o11bob4o5bo2bobo14b
2obo3bo15b2o2b3o17b2o2b3o$125bo4bo4b2o10bob3o7b2o16bo3b2o12b4ob2o21b2o
24bo3b2o18bo3b2o$130bo16bo4bo6bob2o14bo18b3o3bo4bo14bob3obo2bo17bo23bo
$146bo8b4o2bo13bo3bob2o21bo2bo13bo6b2ob2o14bo3bob2o16bo3bob2o$147bo2bo
bob5obo13bo4bob3o39bo6b3o13bo4bob3o14bo4bob3o$173b2o9bo12b2o8b2o13b3o
5bo14b2o9bo12b2o9bo$154bobo16b2o3b3o16b2o8bo14b3o2b2o16b2o3b3o16b2o3b
3o$156bo18b2ob2o18b3o2bo19bobo2bo18b2ob2o19b2ob2o$154bo25b3o17b3obob2o
14b2ob3o24b3o21b3o$153b2o24b2o17b2obo2b2o15bo2b2o4b3o18b2o22b2o$178bob
o19b2obo16bo2bo2b3obo2bo16bobo21bobo$178b2o20b3o17bo3bo4bob2obo15b2o
22b2o$219bo3b2o2bobo2b2obo$177bo2bo20bo2b3o11b2o3b4obo20bo2bo20bo2bo$
176b6o17bob2ob2o12b3o4b2ob3o3bo13b6o18b6o$176b2o2b2o19bo2bo14bo2bo4bob
2o2bo14b2o2b2o18b2o2b2o$200b3o3b3o10bo3bob2o3b3o$196b3o2bo4bo3bo9bob4o
3bobo2bo12bobo2bobo23bo$195b2obo2bo3bo4bo13b5o3b2o11bo3bo2bo3bo13b3o3b
o2bo$196bob5o2b2o3bo14bo18b2o10b2o12bo2bo2bo3bo$195bo3bo3b3o2b2o13b2o
4b2o14bobo6bobo12b4ob3o3bo$200bo21bo8bo41bobobobo$221b2o3b2o3bo13b2o8b
2o12b2o6bo$221b2o2b2ob3obo12b2o8b2o13b2o6b2o$228bo3bo11b2o10b2o11bo4bo
2bo2bo$223bobo3bo2bo12bo10bo11b2obo3bo3b2o$223bob2o5bo11bo2b2o4b2o2bo
10b2obo3bo2b2o$222b2o5b3o13bob2o4b2obo16bobobo3bo$231bo15bobo2bobo15bo
bo8bo$223bo21bob3o2b3obo17b2o$222b2o7b3o10b2o2bob2obo2b2o18b3o$221bo2b
o6b2o10bo2bo3b2o3bo2bo15b2o$224bo3bo2bo15bo6bo17bo$220bo3bo3b3o14bo3bo
2bo3bo16bo3bo$221bo6b3o15bo8bo16bo4bo$226b2o19bo6bo21bo$223b2o47bo2bo$
227bo19b2o4b2o18bo2bo$273bo$249bo2bo$247b2o4b2o19b2o$247bobo2bobo18bo
2bo$272bo3b2o$271bo6bo$272bo4b2o2$267b3o9b3o$267b3ob2obo3b2ob2o$266bo
6b2ob2ob5o$266bo9bobo$272b2o$267bo2b2obo$269bo$279b2o$269b2o8b2o$279b
2o$269b2obob2o2b2o$274bobobo$271bo4b3o$275b2o$272bobo$272bobo2bo$272b
5obo$273b2o3bo$276bob2o$269bo2bobo2b3o$267b2ob2o5b2o2bo$267bo9bo3b3o$
268bobo2b3o2bo3bo$270bo3b5o2bo$276bo!


Have a happy day,

-Tim Coe
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Re: Spaceship Discussion Thread

Postby Sokwe » April 13th, 2016, 2:53 pm

moebius wrote:2c/6 even symmetric width 16 - 0 period 6 ships found
2c/6 glide symmetric width 16 - 0 period 6 ships found

Very nice! It's good to know what we already suspected.

moebius wrote:4c/9 odd ... (width 21 is running, nearly done)
4c/9 gutter ... (width 23 is next)

Are you still running these searches?
-Matthias Merzenich
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Re: Spaceship Discussion Thread

Postby muzik » April 14th, 2016, 9:09 am

Any news on searching for c/8 spaceships that are not huge?

I'd probably say that searching for a 3c/7 should be higher priority at this point, because of these amazing partials:
Saka wrote:Anyway, two 3c/7 partials from mniemiec's website:
x = 23, y = 48, rule = B3/S23
7bo7bo$6b3o5b3o$5bo2b2o3b2o2bo$4b2ob9ob2o$5bob2o5b2obo$4b3ob2o3b2ob3o$
4b3o4bo4b3o$7bo7bo$4bo2bo7bo2bo$3bobo11bobo$4b2obo7bob2o$6b2o7b2o$7bo
7bo$6bobo5bobo$5bo3bo3bo3bo$5bo2bo5bo2bo$5bo2b2o3b2o2bo$5b2ob2o3b2ob2o
$6bo9bo$5bo11bo$3bobo11bobo$2b2obo2bo5bo2bob2o$bobo15bobo$o6b2o5b2o6bo
$b2obobo2bo3bo2bobob2o$2bobobobo5bobobobo$4b3o9b3o$3bobo11bobo$2bo3bo
9bo3bo$2bo4bo7bo4bo$8bo5bo$2b3o2bo7bo2b3o$8bo5bo$7b2obobob2o$7b2obobob
2o$5b2obobobobob2o$4b2o11b2o$3b2obo9bob2o$2bo2bobo7bobo2bo$2b3o13b3o$
3b2o2bobo3bobo2b2o$6bo3bobo3bo$10bobo$9bo3bo$5bo3bo3bo3bo$5bo2bo5bo2bo
$2b2o4b2o3b2o4b2o$2o19b2o!

x = 25, y = 69, rule = B3/S23
8bo7bo$7b3o5b3o$6bo2b2o3b2o2bo$5b2ob9ob2o$6bob2o5b2obo$5b3ob2o3b2ob3o$
5b3o4bo4b3o$8bo7bo$5bo2bo7bo2bo$4bobo11bobo$5b2obo7bob2o$7b2o7b2o$8bo
7bo$7bobo5bobo$6bo3bo3bo3bo$6bo2bo5bo2bo$6bo2b2o3b2o2bo$6b2ob2o3b2ob2o
$7bo9bo$6bo11bo$4bobo11bobo$3b2obo2bo5bo2bob2o$2bobo15bobo$bo6b2o5b2o
6bo$2b2obobo2bo3bo2bobob2o$3bobobobo5bobobobo$5b3o9b3o$4bobo11bobo$3bo
3bo9bo3bo$3bo4bo7bo4bo$9bo5bo$3b3o2bo7bo2b3o$9bo5bo$8b2obobob2o$8b2obo
bob2o$6b2obobobobob2o$5b2o11b2o$5bo13bo$5b2o11b2o$6b4o2bo2b4o$9bobobob
o$7bo3bobo3bo$3b3o4bo3bo4b3o$2bobo2bobo5bobo2bobo$2bob2ob3o5b3ob2obo$
3b2o3bo7bo3b2o$2bobo2bo3b3o3bo2bobo$2b2ob3o2bobobo2b3ob2o$2obo5b2obob
2o5bob2o$2bo2bo2b4ob4o2bo2bo$2o3b2ob3o3b3ob2o3b2o$2bo3bob3o3b3obo3bo$
10bo3bo$4bo15bo$4bo4b2o3b2o4bo$4b2o5bobo5b2o$7b2ob2ob2ob2o$3bo2bob3o3b
3obo2bo$b3o3b2obo3bob2o3b3o$6b4o5b4o$o3b5obo3bob5o3bo$o7b3o3b3o7bo$5b
2o2bobobobo2b2o$o5bo2bo5bo2bo5bo$b2obob3o7b3obob2o$4b2ob2o7b2ob2o$3b2o
15b2o$8b3obob3o$10bobobo!

They look somewhat promising, to be honest.
2c/n spaceships project

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Re: Spaceship Discussion Thread

Postby velcrorex » April 14th, 2016, 4:32 pm

I'm not sure if 3c/7 is such a good idea. Paul Tooke did much searching on these, as stated here:
http://www.conwaylife.com/forums/viewto ... =339#p2331

To quote Paul Tooke from the above link:
To add to the 3c/7 results posted earlier I have since completed friutless gfind searches with o7n3l182uvw and o7n3l196u. That last search took nearly a year to complete, so I won't be banging my head against this particular wall any time soon!

For the benefit of folks unfamiliar with gfinds options these correspond to width 26 even, 27 odd and 27 odd with a central column of dead cells. That last search would also have found any width 13 asymmetric spaceships.
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Re: Spaceship Discussion Thread

Postby moebius » April 17th, 2016, 9:40 am

Sokwe wrote:
moebius wrote:2c/6 even symmetric width 16 - 0 period 6 ships found
2c/6 glide symmetric width 16 - 0 period 6 ships found

Very nice! It's good to know what we already suspected.

moebius wrote:4c/9 odd ... (width 21 is running, nearly done)
4c/9 gutter ... (width 23 is next)

Are you still running these searches?


I have finished those searches and others.

4c/9 odd width 21 - knightt - no ships found
4c/9 even width 22 - knightt - no ships found (previously reported)
4c/9 gutter width 23 - knightt - no ships found

These are not encouraging results.

longest partials:
x = 85, y = 42, rule = B3/S23
$8bo5bo21bo8bo21bo9bo$7bobo3bobo19bobo6bobo19bobo7bobo$6bo3bobo3bo17bo
3bo4bo3bo17bo3bo5bo3bo$6bo9bo16bo4bo4bo4bo20bo5bo$5bo5bo5bo15bobobobo
2bobobobo15bobob3o3b3obobo$6b4obob4o20b3o2b3o18bo2b2o9b2o2bo$7bo3bo3bo
16b5obob2obob5o17b4o3b4o$34b3obob2obob3o19b4o3b4o$11bo25b3o2b3o18bo17b
o$6b3obobob3o21bo4bo19bo17bo$5bo11bo51bo5bo$5bo4bobo4bo17b3o6b3o23bo3b
o$5b2obo5bob2o16bo2b2o4b2o2bo17bo5bobo5bo$5b2o9b2o15bo2b2obo2bob2o2bo
16b2obobo3bobob2o$34bo2b2o4b2o2bo21bo5bo$3b2ob2o7b2ob2o14bo12bo17bo13b
o$3b2ob2o7b2ob2o18bob2obo21bo13bo$3bo4bo5bo4bo15bo2bob2obo2bo18b3o9b3o
$2b3ob3o5b3ob3o14b3o2b2o2b3o19bo3bo3bo3bo$2bo2bob2o5b2obo2bo12b2o12b2o
14bo6bo3bo6bo$2b2o2b3o5b3o2b2o12bo3bo6bo3bo14b3o13b3o$3bo2b3o5b3o2bo
13b3ob2o4b2ob3o15b2obob2o3b2obob2o$6b2o7b2o17bobobob2obobobo19bobo5bob
o$5b2o4bo4b2o16b3o8b3o20bo7bo$4b2o4b3o4b2o15bob2o6b2obo17bob3o5b3obo$
2b2o6b3o6b2o12b2o12b2o15b3ob2o5b2ob3o$2b3o13b3o12b2o2bo6bo2b2o14bo17bo
$3bobo11bobo13b2o3b6o3b2o13b3o4b2o3b2o4b3o$5bo2bo5bo2bo14b3o12b3o12bo
6bobobobo6bo$2b2obob2o5b2obob2o41b4o13b4o$bobo3b2o2bo2b2o3bobo10bob5o
4b5obo13bo17bo$31b2obob2o6b2obob2o11bob3o3bo3bo3b3obo$31b2obob2o6b2obo
b2o$31bo5bo6bo5bo$35b2o8b2o$31bo2bo3bo4bo3bo2bo$31b2o2bobo6bobo2b2o$
32b2ob3ob4ob3ob2o!


3c/7 odd width 25 - knightt - no ships found (Paul Tooke reported width 25 and 27 years ago)
3c/7 even width 28 - knightt - no ships found
3c/7 gutter width 29 - knightt - no ships found

Knightt reports search tree reconvergences and there were none reported for the previous searches. To me this means that it was not even close to finding a complete spaceship.

Longest partials:
x = 125, y = 80, rule = B3/S23
5$11bo7bo35bo10bo34bo11bo$10bobo5bobo33bobo8bobo32bobo9bobo$9b2ob2o3b
2ob2o31b2ob2o6b2ob2o30b2ob2o7b2ob2o$10bobo5bobo32bo14bo30bo15bo$8bob2o
3bo3b2obo30b3o2bo4bo2b3o30b3o2bo5bo2b3o$8b7ob7o28bo7bo2bo7bo26bo7bo3bo
7bo$12b7o33b2o2b2ob4ob2o2b2o28b2o2b2ob2ob2ob2o2b2o$11bob2ob2obo32bobo
4bo2bo4bobo28bobo4bo3bo4bobo$8b2obo7bob2o26b3ob3o2bo4bo2b3ob3o22b3ob3o
2b2o3b2o2b3ob3o$7b3ob2o5b2ob3o25b2ob3obobo4bobob3ob2o22b2ob4ob3o3b3ob
4ob2o$6bo17bo25b3o2bo2bo4bo2bo2b3o24b4o4b2o3b2o4b4o$9bob2o5b2obo29bob
3o3bo2bo3b3obo26bo5b2o5b2o5bo$53b3o2bo4bo2b3o33b2o7b2o$13bo3bo35b3o4b
2o4b3o$8bob3o5b3obo37b2o39bo11bo$9bob3o3b3obo31bo2bo8bo2bo31bob2o7b2ob
o$13bo3bo35bo2bo8bo2bo28b2obo3bo5bo3bob2o$12b2o3b2o34b2obo8bob2o26b2o
21b2o$11b2o5b2o31b2o3bobo4bobo3b2o24b2o4b2obo5bob2o4b2o$10b3o5b3o30bo
2bo2b2o4b2o2bo2bo24bo4bobo9bobo4bo$7b4o9b4o26bo2bo14bo2bo26b5o9b5o$6bo
17bo26b2o3b3o4b3o3b2o26b2obo3bo5bo3bob2o$5b2o3b2o7b2o3b2o24b3obo2b2o4b
2o2bob3o25bo7bo3bo7bo$6bobobobo5bobobobo25bob2o14b2obo24b2o6bo5bo6b2o$
6b3o2b3o3b3o2b3o23b2o3bob5o2b5obo3b2o22b2o4b2obo3bob2o4b2o$11bo7bo28b
2o3b3o3bo2bo3b3o3b2o25bo5bo3bo5bo$6bo17bo23b2ob4o2b3o2b3o2b4ob2o25bob
3ob2ob2ob3obo$51bobob2o8b2obobo28b2obo2b2ob2o2bob2o$6bobobo9bobobo30bo
10bo32b2o4b2ob2o4b2o$8b3o9b3o30bo5b4o5bo28b2obo3b3ob3o3bob2o$5bob3o2bo
5bo2b3obo25b2o5b6o5b2o25bobob2o4bobo4b2obobo$6b2ob3o7b3ob2o22b2obo8bo
2bo8bob2o20b2o3bob2ob2ob2ob2obo3b2o$10bobo5bobo27bo2bo2bobobo4bobobo2b
o2bo21b2obo2b3obo3bob3o2bob2o$11b3o3b3o29b4o3b2ob4ob2o3b4o23bo3bo13bo
3bo$11bobo3bobo29b2o4b12o4b2o24bo2b2o2bo5bo2b2o2bo$12b2o3b2o31bob4o3b
4o3b4obo23b2o4bobo7bobo4b2o$8b3o9b3o26bobo4bo8bo4bobo$8b2obo7bob2o26bo
2bobobo8bobobo2bo$7bo2b3o5b3o2bo26bo5bo8bo5bo$15bo33bobobo14bobobo$7b
2o3bobobobo3b2o24b3ob3o12b3ob3o$7bobo2bobobobo2bobo$6b2ob2o3bobo3b2ob
2o$6bo5bo5bo5bo$5bo6bobobobo6bo$10b2ob2ob2ob2o$5bo4b2o2b3o2b2o4bo$5bob
2o2b2o5b2o2b2obo$4bobo2bob2o5b2obo2bobo$4b2o3bob2o5b2obo3b2o$4b2ob2o2b
2o5b2o2b2ob2o$4bo2bo3bo7bo3bo2bo$3b2o9bobo9b2o$9b2o2b2ob2o2b2o$8bo4bo
3bo4bo$6b2o6bobo6b2o$6bo2bob2obobob2obo2bo$4bo5b3obobob3o5bo$8b3obobob
obob3o$3bo7b2obobob2o7bo$6bo5bo5bo5bo$3b2obo4b2obobob2o4bob2o$5b2ob2o
3bobobo3b2ob2o$6bo2b5obob5o2bo$6bo5bo5bo5bo$10b2o3bo3b2o$5bobob3o2b3o
2b3obobo$4bo6bo2b3o2bo6bo$6bob2ob2o5b2ob2obo$4b4o3bo7bo3b4o$4bo2bo3bo
7bo3bo2bo!


c/7 odd width 15 - knightt - no ships found
c/7 even width 16 - knightt - no ships found
c/7 gutter width 17 - knightt - no ships found

These searches were more encouraging, as I was seeing search tree reconvergences. These searches may have been done before, but I could find no reports. I am currently letting a width 19 gutter run and it is at roughly three weeks and ~120 phases into the search. It has a long way to go. The loafer would show up in a width 21 gutter run.

Edit -- I noticed on the unsuccessful gfind thread that thunk has previously reported some of the c/7 searches. It is good to see that he got the same long partials with zfind for odd width 15 and even width 16 (knightt does not report the last ~8 rows of the longest partial).

Longest partials:
x = 93, y = 67, rule = B3/S23
3$7bo5bo27bo10bo26bo5bo$6bobo3bobo25bobo8bobo24bobo3bobo$5bo2bo3bo2bo
24bo2bo6bo2bo24bobo3bobo$6b2o5b2o26b2o8b2o26bo5bo2$8bo3bo27bo12bo22bo
3b2ob2o3bo$6b4ob4o26bo10bo23bo3b2ob2o3bo$40b2o3b4o3b2o22bo11bo$6bobo3b
obo25bo3b6o3bo$9bobo$6b2o5b2o29b2o2b2o25b3ob2o3b2ob3o$7bo5bo30b2o2b2o
24bo6bobo6bo$8bo3bo31b2o2b2o29bobobobo$8bo3bo31b2o2b2o25bo5bobo5bo$9b
3o32bob2obo28b2obobob2o$8bo3bo31bo4bo29bobobobo$7bo5bo29b2o4b2o27b2obo
bob2o$7bobobobo30b2o2b2o28b2obobob2o$7b3ob3o31bo2bo30bobobobo$8bo3bo
66bobobobo$8b5o65b2obobob2o$8bo3bo32b4o28bobobobobobo$7bobobobo31b4o
28bo3bobo3bo$7bobobobo31b4o$6b4ob4o28bo6bo$5bo3bobo3bo27bo6bo25b2o3bob
o3b2o$6bo2bobo2bo26b2obo4bob2o22bobobo5bobobo$9bobo28b2o4b2o4b2o22b2ob
o5bob2o$8b2ob2o27b2obo6bob2o24bo7bo$5b2ob2ob2ob2o27bo6bo26b3o5b3o$5b2o
7b2o25b12o24b2o7b2o$40bobob2o2b2obobo24b2o5b2o$4bobo7bobo25bo8bo$4bo2b
o5bo2bo25b2obo2bob2o27bo5bo$4bo2b2o3b2o2bo24bo4b2o4bo24bo3bobo3bo$7b3o
b3o30bo4bo28b2obobob2o$7b2obob2o30bob2obo28bo7bo$9b3o30bo8bo27bobobobo
$41bobob4obobo26bobobobo$9bobo67bobobobo$8bo3bo66b2o3b2o$10bo$8bobobo
62b3o9b3o$4b2o2b2ob2o2b2o58b4o7b4o$6bo7bo64bo5bo$3bo2b2obobob2o2bo59b
2o7b2o$3bobobo5bobobo58b2ob2o3b2ob2o$7b2o3b2o65bobobobo$5bo4bo4bo61b2o
7b2o$5b2ob5ob2o61b2ob2ob2ob2o$6bo7bo62bo2bo3bo2bo$6bobobobobo62b3o5b3o
$4b3ob5ob3o60b3o5b3o$4b2o4bo4b2o58b2o3bo3bo3b2o$4b2o9b2o59b3ob2ob2ob3o
$76b2obobobobob2o$78bo7bo$78b3o3b3o$78b3o3b3o$76bo11bo!


Have a happy day,

-Tim Coe
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Re: Spaceship Discussion Thread

Postby biggiemac » April 17th, 2016, 1:14 pm

Not on topic but
moebius wrote:thunk [...] he

Actually she/they :) Just so you know.
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Re: Spaceship Discussion Thread

Postby Scorbie » April 17th, 2016, 1:18 pm

Ahh! I see the large subunit of the loafer in the middle c/7 partial!
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Re: Spaceship Discussion Thread

Postby Sokwe » April 17th, 2016, 4:13 pm

moebius wrote:4c/9 odd width 21 - knightt - no ships found
4c/9 even width 22 - knightt - no ships found (previously reported)
4c/9 gutter width 23 - knightt - no ships found
...
3c/7 odd width 25 - knightt - no ships found (Paul Tooke reported width 25 and 27 years ago)
3c/7 even width 28 - knightt - no ships found
3c/7 gutter width 29 - knightt - no ships found
...
c/7 odd width 15 - knightt - no ships found
c/7 even width 16 - knightt - no ships found
c/7 gutter width 17 - knightt - no ships found

Thanks for the new results!

Could you give an estimate on how long these searches took?
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Re: Spaceship Discussion Thread

Postby moebius » April 21st, 2016, 4:01 pm

Sokwe wrote:
moebius wrote:4c/9 odd width 21 - knightt - no ships found
4c/9 even width 22 - knightt - no ships found (previously reported)
4c/9 gutter width 23 - knightt - no ships found
...
3c/7 odd width 25 - knightt - no ships found (Paul Tooke reported width 25 and 27 years ago)
3c/7 even width 28 - knightt - no ships found
3c/7 gutter width 29 - knightt - no ships found
...
c/7 odd width 15 - knightt - no ships found
c/7 even width 16 - knightt - no ships found
c/7 gutter width 17 - knightt - no ships found

Thanks for the new results!

Could you give an estimate on how long these searches took?


The period 9 stuff ran 3 days to a week each. The 3c/7 runs were a week to two weeks each. The c/7 runs were a couple of days each.

I have other results:

c/4 odd width 13 - 21 ships found
2c/8 odd width 13 - 0 period 8 ships found, 21 period 4 ships found
c/4 odd width 15 - 146 ships found
2c/8 odd width 15 - 1 period 8 ship found, 10 period 4 ships found (still running)

c/4 gutter width 15 - no ships found
2c/8 gutter width 15 - no ships found
c/4 gutter width 17 - 255 ships found
2c/8 gutter width 17 - 1 period 8 ship found, 53 period 4 ships found (still running)

c/4 even width 16 - 2 ships found
2c/8 even width 16 - 0 period 8 ships found, 2 period 4 ships found

Width 15 2c/8 odd ship and width 17 2c/8 gutter ship:
x = 48, y = 68, rule = B3/S23
3$8bo3bo22bo3bo$6b9o20bo3bo$34bobobobo$9b3o$8b5o20bo7bo$5b2o7b2o14bob
2o2bobo2b2obo$4b3o7b3o13bobo2b2ob2o2bobo$3bo13bo11bob2obobobobob2obo2$
6b3o3b3o20bo3bo$3b2o11b2o$3b2o4bobo4b2o13b2ob2o3b2ob2o$6bobo3bobo16b2o
9b2o$5b2o7b2o18b2o3b2o$6bobo3bobo20bo3bo$5bo2bo3bo2bo18bo5bo$5bobobobo
bobo17bobo3bobo$4b3o7b3o15b4o3b4o$4b3o7b3o14bo2bo5bo2bo$4b3o7b3o14bob
2o5b2obo$5b2o7b2o17bo7bo$5b2o7b2o17b2o5b2o$6b3o3b3o$6b3obob3o20bo3bo$
9bobo22bo5bo$7bob3obo20bo5bo$7bo5bo$7bo5bo20b2o3b2o$4b3obo3bob3o17bobo
bobo$4bo2bob3obo2bo18b2ob2o$4bob2o5b2obo19bobo$36bobo$33b2obobob2o$33b
2obobob2o$32bo3bobo3bo$31b3ob2ob2ob3o$31b2o9b2o$31b3o7b3o$31bo2bo5bo2b
o$29b2o3b2o3b2o3b2o$30b2ob3o3b3ob2o$31bo2bo5bo2bo$32bo2bo3bo2bo$32b2ob
2ob2ob2o$34bobobobo$30bobo2bo3bo2bobo$30bo2bo7bo2bo$34bo5bo2$33bobo3bo
bo$35bo3bo$33bobo3bobo$32bo2bo3bo2bo$33bo7bo$34bo5bo2$29b2o2b2o5b2o2b
2o$29b3o3bo3bo3b3o$32b4o3b4o$31bo4bobo4bo$32bo2bo3bo2bo$32bo9bo!


I tried doing an odd symmetric c/6 search at width 19, but I got tired of it after 123 phase (~20 rows) and three weeks and I killed it. Fortunately, I was logging the search tree and I continued the search at width 17 and the following ships showed up:
x = 71, y = 72, rule = B3/S23
$4bo13bo16bo23bo$3bobo11bobo8bo13bo9bo13bo$3bobo11bobo7b2o2bo7bo2b2o7b
2o2bo7bo2b2o$4bo13bo7bo4bo7bo4bo5bo4bo7bo4bo$26b3ob2ob5ob2ob3o5b3ob2ob
5ob2ob3o$3b3o11b3o8bo13bo9bo13bo$2bob2o3b2ob2o3b2obo9b2obo3bob2o13b2ob
o3bob2o$3bo4bobobobo4bo11bobo3bobo15bobo3bobo$7b2obobob2o15bo3bo3bo15b
o3bo3bo$8bobobobo18bobobo19bobobo$10bobo20bo3bo19bo3bo$10bobo21b3o21b
3o$5bo3b2ob2o3bo17bo23bo$5b3ob2ob2ob3o16b3o21bobo$9b2ob2o19b2ob2o14bo
13bo$5b3o7b3o15b2ob2o13b2o2bo7bo2b2o$8b2o3b2o35bo4bo7bo4bo$5b2ob2o3b2o
b2o14bo5bo11b3ob2ob5ob2ob3o$7bobo3bobo15bobo3bobo12bo13bo$5b2o4bo4b2o
13bo2bobo2bo14b2obo3bob2o$5bo11bo13b2obobob2o15bobo3bobo$4bo13bo8b3o4b
obo4b3o11bo3bo3bo$6bo9bo17bobo20bobobo$4b2obo2b3o2bob2o12bobo3bobo17bo
3bo$4bo2b2ob3ob2o2bo39b3o$4bob11obo11b2o7b2o18bo$32bo5bo19b3o$4bo4bo3b
o4bo11b2ob2ob2ob2o16b2ob2o$9bo3bo43b2ob2o$5bo3b2ob2o3bo12b2o7b2o$5b2o
2b2ob2o2b2o38bo5bo$5b2o9b2o15bo3bo17bobo3bobo$4b2o11b2o9b3obobobobob3o
12bo2bobo2bo$4b2o11b2o8bo3bo2bobo2bo3bo11b2obobob2o$7b2o2bo2b2o12bobo
9bobo8b3o4bobo4b3o$7b2o2bo2b2o14bobo5bobo17bobo$7b3obob3o17bo3bo17bobo
3bobo$34bobo$31b2obobob2o14b2o7b2o$31b2obobob2o16bo5bo$7b3o3b3o14b3obo
bob3o13b2ob2ob2ob2o$3b3ob3o3b3ob3o10bo3bobo3bo$3b3ob2o5b2ob3o9b2o9b2o
12b2o7b2o$28b3o9b3o$5bo11bo11b2o2b2ob2o2b2o15bo3bo$5bo11bo14b2o3b2o13b
3obobobobob3o$4b3o9b3o8bo3b2o5b2o3bo7bo3bo2bobo2bo3bo$4b2o11b2o9bob3o
5b3obo9bobo9bobo$5b3o7b3o11bo11bo12bobo5bobo$4bo5b3o5bo10bo11bo15bo3bo
$4bo5b3o5bo10b3o7b3o16bobo$3bo3b3o3b3o3bo12bo2bo2bo16b2obobob2o$4bob2o
bobobob2obo9b3o3b3o3b3o12b2obobob2o$10b3o15b6o3b6o11b3obobob3o$28bo4bo
bobo4bo11bo3bobo3bo$34bobo16b2o9b2o$52b3o9b3o$53b2o2b2ob2o2b2o$56b2o3b
2o$51bo3b2o5b2o3bo$52bob3o5b3obo$53bo11bo$53bo11bo$53b3o7b3o$56bo2bo2b
o$52b3o3b3o3b3o$52b6o3b6o$52bo4bobobo4bo$58bobo!


I also looked through my search armadas and found the following small c/4 ships (54, 55, 57, 58, 69). The 55 and 58 are just tags that I haven't seen before added to previously known ships:
x = 175, y = 36, rule = B3/S23
6$129bo$128b2o2$124b2obo$54bo68b3obobo$52b2o68b2o2b2obo28bo$54bo68bo4b
o28b2o3bo5b2o$48bo3b2o66bobo33b2o3bob2o5bo$46bo2b2obobo61bo3bo28b4o2b
3o3bo4bobo$12b4obo26b3o6b2o20b2o8bobobo24bo2b2o28bo5b2o4bo4bobo$11b4o
4bo6bo16bobo7b2o18b2o12bob2obo19b3o30b2o6bobo3bo6bo$8b2o7bo2b2ob2o2b2o
14bob2o9bo13bobob2o6bo9bo18bobo33bo2bo2bo6bo$6bo2bo3bo3b3o4bo17bo4bo8b
o13bo14b2o24bob2o34b2o4b2obobo$4b2o3bo3bo3bo2bo2bo17b2o11bo15bo4bo4b2o
b2o25bo4bo34bo5bo3bobo$6bo13bo31b2o18b2obo3b3o27b2o39bo4b2o2bo$8b2o3bo
5bo20bo4b2o7bo22b3o7bo60bo8b3obobo$10b3o6b3o22bo37b2o3bo20bo4b2o33b2o
8b2ob2o$20b2o19b3o39bo2bo25bo35bo9b3obo$20bo22bo37b3o2b2o21b3o$19bobo
22bo35bo2bo2b2o23bo$19bobo21b2o36bobo2bo25bo$20bo23bo36bobo3bo23b2o$
44b2o41bo24bo$41bo2b2o66b2o$39b2o3bo64bo2b2o$41bo65b2o3bo$109bo!


Have a happy day,

-Tim Coe
moebius
 
Posts: 26
Joined: December 10th, 2015, 9:07 am

Re: Spaceship Discussion Thread

Postby thunk » April 21st, 2016, 5:33 pm

As you probably know, the c/6 ships are front-extensible.
Also they can clean up blocks and hives properly positioned in front of them.
x = 20, y = 166, rule = B3/S23
5$10b2o$9bo2bo$10b2o4$7b2o$6bo2bo$7b2o4$10b2o$10b2o4$7b2o$7b2o5$b2o4b
5o4b2o$ob2ob2o5b2ob2obo$b5o7b5o$5bobo3bobo$bo5bo3bo5bo$6bo5bo$3b2obo2b
o2bob2o$8bobo$8b3o$8b3o4$b2o4b5o4b2o$ob2ob2o5b2ob2obo$b5o7b5o$5bobo3bo
bo$bo5bo3bo5bo$6bo5bo$3b2obo2bo2bob2o$8bobo$8b3o$8b3o4$b2o4b5o4b2o$ob
2ob2o5b2ob2obo$b5o7b5o$5bobo3bobo$bo5bo3bo5bo$6bo5bo$3b2obo2bo2bob2o$
8bobo$8b3o$8b3o4$b2o4b5o4b2o$ob2ob2o5b2ob2obo$b5o7b5o$5bobo3bobo$bo5bo
3bo5bo$6bo5bo$3b2obo2bo2bob2o$8bobo$8b3o$8b3o4$b2o4b5o4b2o$ob2ob2o5b2o
b2obo$b5o7b5o$5bobo3bobo$bo5bo3bo5bo$6bo5bo$3b2obo2bo2bob2o$8bobo$8b3o
$8b3o4$b2o4b5o4b2o$ob2ob2o5b2ob2obo$b5o7b5o$5bobo3bobo$bo5bo3bo5bo$6bo
5bo$3b2obo2bo2bob2o$8bobo$8b3o$8b3o4$b2o4b5o4b2o$ob2ob2o5b2ob2obo$b5o
7b5o$5bobo3bobo$bo5bo3bo5bo$6bo5bo$3b2obo2bo2bob2o$8bobo$8b3o$8b3o3$7b
o3bo$7b2ob2o4$4b5ob5o$2bo3bobobobo3bo$2b3obobobobob3o$3b4obobob4o$5bo
2bobo2bo2$3b3o7b3o$5bo7bo$5b3o3b3o$5bobo3bobo$5bobo3bobo$6b2o3b2o2$2b
2obobo3bobob2o$2b2obo2bobo2bob2o$5bobo3bobo$2bo4bo3bo4bo$2bo4bo3bo4bo$
3bobob2ob2obobo$6bobobobo$8bobo$5b2obobob2o$4bo3bobo3bo$4b2obo3bob2o$
4b2obo3bob2o$4b4o3b4o$3bo2bobobobo2bo$2b2o2bo5bo2b2o$3bobo7bobo3$3bobo
7bobo$2b2o2bo5bo2b2o$2b2obo2bobo2bob2o$b2o3b2obob2o3b2o$9bo$6b2obob2o
2$9bo$9bo!
"What's purple and commutes?
The Evanston Express."
thunk
 
Posts: 165
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

Re: Spaceship Discussion Thread

Postby Sokwe » April 21st, 2016, 10:33 pm

moebius wrote:I tried doing an odd symmetric c/6 search at width 19, but I got tired of it after 123 phase (~20 rows) and three weeks and I killed it. Fortunately, I was logging the search tree and I continued the search at width 17 and the following ships showed up.

These are much better than that long ship I found a few months ago.

moebius wrote:I also looked through my search armadas and found the following small c/4 ships (54, 55, 57, 58, 69). The 55 and 58 are just tags that I haven't seen before added to previously known ships.

Here is another small tagalong based on the tagalong in the 58-cell ship:
x = 26, y = 28, rule = B3/S23
24bo$21b4o$21b3o$20bo$17b2ob2o$16b3obo$15b2o2b3o$16bo4bo2b2o$13bobo7bo
$9bo3bo$7bo2b2o$5b3o$4bobo$4bob2o$3bo4bo$2b2o2$bo4b2o$5bo$2b3o$4bo$5bo
$4b2o$5bo$5b2o$2bo2b2o$2o3bo$2bo!


Here is the updated small c/4 orthogonal ships collection:
x = 1095, y = 585, rule = B3/S23
163bo$161b2o$163bo$165bobo$164bo2bo83bo$30bo133bo2bo81b2o$28bo2b2o131b
obo25bobo56bo$26b3o137bo25bo3bo48bo3b2o$25bobo136b2o26bo4b2o12b2o30bo
2b2obobo$25bob2o135b2o28bo3bo2b2o7b3o5bobo4b2o14b3o6b2o$obobo3bobobo
11bo4bo110bobobo3bobobo15bob2o23b2o3bo10bo6bo7bo2bo10bobo7b2o$23b2o
142b2o43bo5bo2b3o5bo10bob2o9bo$4bo7bo127bo7bo42b4o18b2o5bo5bo2bo9bo4bo
8bo$22bo4b2o138b2obo18b2obo2bo16b3o10b2o11b2o11bo$obobo7bo13bo113bobob
o3bobobo14b2obo18b4o2bo13bo2b2o4b2o29b2o$23b3o143bo8bo2b2o10bo15b2o4b
2o20bo4b2o7bo$4bo7bo12bo118bo7bo13bo2b2o7b2o2bo26bo3b2obo2bo21bo$26bo
140b3o8bo3b3o2b3o23b3o22b3o$obobo7bo12b2o113bobobo3bobobo29b2obo2b2o
23b2ob2obobo18bo$26bo139bo16bo33bo3bo19bo$26b2o138b2o16b2o31bo22b2o$
23bo2b2o137bo2b2o15bo3bo51bo$21b2o3bo140bobo16bo2bo51b2o$23bo139b2o3bo
18bobo48bo2b2o$164b3o69b2o3bo$165b2o71bo$168bo$166bobo$167bo6$35bo$26b
3o4bobo$o3bo4bo11bo2b2o4b2obobo126bobo$21b2o7bo131bo3bo19bo$o3bo4bo11b
o3bo6b3o127bo2b2o17bo2b2o$26b2o4bo2bo128bobo15b3o$obobo4bo21b2o2bo130b
o14bobo$28b3o4bo129b2obo12bob2o$4bo4bo25bo130bobo11bo4bo$34b2o128bo14b
2o$4bo4bo22bo2b2o103bobobo3bobobo10b2o$30b2o146bo4b2o$32bo107bo7bo13b
2o2b2o14bo$162b3ob2o11b3o$140bobobo3bobobo12bob2o12bo$164b2o16bo$144bo
3bo3bo11bo16b2ob2o$164bob2o12b2o2bo$140bobobo3bobobo11bo3bo11b2o3bo$
164bo14bobo3b2o$165bo13b2o4b2o$169bobo8b3obo$166b2o3bo9b2ob3o$30bo134b
obo3bo7bo$28bo2b2o132b2obo10bo$26b3o132bobo15bobo$25bobo133bo$25bob2o
132bobo$o3bo3bobobo11bo4bo$23b2o$o3bo7bo$22bo4b2o$obobo3bobobo13bo$23b
3o$4bo7bo12bo$26bo4bo$4bo3bobobo12b2ob2obo$24bo3bo$24b4o219bo$21bo3b2o
213bobob2obo25bobobo18bo24bo24bo24bo24bo$21b2o215bo3bobo26bo3bob2obo
13bo2b2o20bo2b2o20bo2b2o20bo2b2o20bo2b2o$21bo192bo22bo32bo9bo11b3o22b
3o22b3o22b3o22b3o$168b2o8bobobo14b2o8bobob2obo21bo3b2o27bo3b2o16bobo
22bobo22bobo22bobo22bobo$166b2o12bob2obo9b2o12bobo24bob2o29bob2o18bob
2o21bob2o21bob2o21bob2o21bob2o$140bobobo3bobobo10bobob2o6bo9bo6bobob2o
6bo32bo32bo19bo4bo19bo4bo19bo4bo19bo4bo19bo4bo$163bo14b2o12bo14b2o26bo
32bo20b2o23b2o23b2o23b2o23b2o$140bo11bo10bo4bo4b2ob2o14bo4bo4b2ob2o27b
obo30bobo$165b2obo3b3o19b2obo3b3o27bo2bobo27bo2bobo18bo4b2o18bo4b2o18b
o4b2o18bo4b2o18bo4b2o$140bobobo7bo17b3o7bo18b3o7bo20bobo30bobo26bo24bo
24bo24bo24bo$175b2o3bo23b2o3bo19bo2bo29bo2bo23b3o22b3o22b3o22b3o22b3o$
144bo7bo23bo2bo25bo2bo21bo32bo27bo24bo24bo24bo24bo$174b3o2b2o22b3o2b2o
11bo2b2o5b2o21bo2b2o5b2o26bo12bo11bo24bo24bo24bo$140bobobo7bo20bo2bo2b
2o21bo2bo2b2o11b2o2bo5bo22b2o2bo5bo26b2o7bo2b3o10b2o7bo2b2o11b2o23b2o
23b2o$74bo99bobo2bo23bobo2bo12bo3b3o2b2o22bo3b3o2b2o27bo7bo2b2o12bo7bo
2b3o11bo24bo24bo$37bobobo25bobob2obo99bobo3bo22bobo3bo15b2obo3bo25b2ob
o3bo26b2ob2o3bo16b2ob2o3bo4bo11b2o23b2o23b2o$35bo3bob2obo20bo3bobo108b
o28bo16bo4bo27bo4bo24bo2b2obob3o14bo2b2obob3o14bo2b2o3bo16bo2b2o3bo16b
o2b2o$o3bo3bobobo21bo9bo19bo162b2o31b2o25b2o3bo3b4o12b2o3bo3b4o12b2o3b
o3b4o12b2o3bo3b4o12b2o3bo3bobo$33bo3b2o24bo3b2o159bo3bo28bo3bo23bo7bo
16bo7bo16bo5bob3o14bo5bob3o14bo8bo3bo$o3bo3bo24bob2o26bob2o162bo2bo29b
o2bo79b2o3bo4bo14b2o3bo19b2ob3obo$22b2ob2o7bo17b2ob2o7bo165bobo30bobo
84bo2b3o19bo2b2o15bo6bo$obobo3bobobo8b3o8bo18b3o8bo287bo2b2o20bo2b3o
12bo6b3o$22b2obo2bo2bobo18b2obo2bo2bobo316bo12b2o6bo$4bo7bo18bobo27bob
o329bo$26b2obo26b2obo$4bo3bobobo15b2o28b2o$28b3o27b3o$30bo2b2o25bo2b2o
$32bo29bo2$205bo$204b2o$174bo$172bo2b2o23b2obo$170b3o26b3obobo$198b2o
2b2obo$171b2o26bo4bo$166b4o2bo23bobo27bo35bo35bo35bo35bo34bo13bo$163bo
b3o3b3o18bo3bo20b3o4bobo26b3o4bobo26b3o4bobo26b3o4bobo26b3o4bobo5b2obo
bo14b3o4bobo5b2obob2obo$140bobobo3bobobo9b2o7b4o15bo2b2o17bo2b2o4b2obo
bo21bo2b2o4b2obobo21bo2b2o4b2obobo21bo2b2o4b2obobo14bo6bo2b2o4b2obobo
3bo4bob2obo6bo2b2o4b2obobo3bo4bobo$174bo13b3o21b2o7bo26b2o7bo26b2o7bo
11b2obobo9b2o7bo11b2obob2obo6b2o7bo7bo10bo6b2o7bo7bo$140bo7bo3bo9bob2o
bo19bobo22bo3bo6b3o22bo3bo6b3o22bo3bo6b3o5bo4bob2obo6bo3bo6b3o5bo4bobo
9bo3bo6b3o3bo3b2o12bo3bo6b3o3bo3b2o$27b3o23bo108b2o3bo19bob2o26b2o4bo
2bo26b2o4bo2bo26b2o4bo2bo3bo10bo11b2o4bo2bo3bo22b2o4bo2bo3b3o19b2o4bo
2bo3b3o$25b2o3bo21bobo85bobobo3bobobo14bo18bo4bo30b2o2bo31b2o2bo31b2o
2bo3bo3b2o22b2o2bo3bo3b2o22b2o2bo30b2o2bo$23bo27b2o109b2o21b2o32b3o4bo
4b3o21b3o4bo4b3o21b3o4bo4b3o21b3o4bo4b3o21b3o4bo27b3o4bo$21b2o3bo3bo
22bo90bo3bo3bo9bo63bo3bo3b2o26bo3bo3b2o26bo35bo35bo34bo$23bo2bo3bo22bo
108b3o19bo4b2o34b2o3bo10bo19b2o3bo30b2o34b2o34b2o33b2o$o3bo3bobobo12b
2o113bobobo3bobobo10b2o3bo19bo34bo2b2o3bo4bob2obo17bo2b2o3bo4bobo20bo
2b2o31bo2b2o31bo2b2o30bo2b2o$26bo3bo21b2o115bo15b3o33b2o10b2obobo18b2o
10b2obob2obo15b2o34b2o34b2o33b2o$o3bo3bo17bo3bo19b2o114b2o19bo35bo35bo
17bo17bo35bo35bo34bo$26b3o19b2o2bo112bob2o19bo$obobo3bobobo35b3o114b2o
20b2o$26b3o8bo2b2o9b2o108bobo24bo$4bo3bo3bo13bo3bo6b2o2bo119bo26b2o$
26bo3bo6bo3b3o2b3o112bobo21bo2b2o$4bo3bobobo12b2o14b2obo2b2o134b2o3bo$
23bo2bo3bo11bo142bo$21b2o3bo3bo12b2o$23bo20bo3bo$25b2o3bo14bo2bo$27b3o
16bobo5$181bo$180bobo$180bobo$180bo2$180bobo2$178b3o$140bobobo3bobobo
24bo$176b2obo$140bo7bo3bo27bo$22b2o29b2o125bo$o3bo3bobobo8b3o20bo7b3o
85bobobo3bobobo22bobo$22bo20bo9bo15b2o101bob2o$o3bo7bo10b2ob2o15b2o9b
2ob2o10b3ob2obo67bo7bo17b2ob2o$28bo5bo6bo17bo5bob3o6bo93b2ob2o$obobo7b
o10b2o7bobob3o6bo8b2o7bobo6bo67bobobo3bobobo20bo$24bo6bobo4b3ob2obo9bo
6bobo9b2o85bob2o6bobo$4bo7bo12bo2bo9b2o16bo2bo14bo86bo3b2o$26bobobob2o
23bobobob2o10bo85bob2o6bobo$4bo7bo12b2o3bo25b2o3bo104b3ob2obo$27bo30bo
108bob2o2$168bobo$170b2obo$173bo9$26bo$26b2o$26bo$28bo$28bo$27b2o18bo$
45b2o130b2o$29bo17bo129b4o$o3bo3bobobo15bobo9bo8bobo88bobobo3bobobo17b
o5bo3bo$27b4o9b2o6bo2bo118b2ob2o2bo$o3bo3bo3bo10b2o2bo12bo7bo2bo88bo7b
o3bo13bobo2bo2bo3bobo$23b2obobo13bo5bobo112bo2bo7b3o3bo$obobo3bobobo
10b2o2bo14bo7bo89bobobo3bo3bo8b2o3b2o14bo$22b2o17b2o120bo2b2o10bo2bo4b
3o$4bo3bo3bo8bo17bo2bo2bobo92bo3bo3bo3bo12bo2bo7b2o3bo2bob3o$21bo5bo9b
2o6bob2o117b2o6bo8b2o$4bo3bobobo9bob3o12bo5b4o91bobobo3bobobo21bo11bo$
27bo13b4o129bobo10bobo$24b4o18bo3bo137bo$24bo2bo18b5o$27bo19b2o$26bo$
26bobo$26bobo$27bo12$164bobo29bobo29bo$162b2o3b2o27bo3bo25b2o$162bobo
31bo4b2o25bo$164bo33bo3bo2b2o15bo3b2o$161bo37b2o3bo15bo2b2obobo$161b2o
3bo51b3o6b2o$o3bo3bobobo127bobobo4bo19b2o24b4o18bobo7b2o$164b2o3bo23b
2obo2bo17bob2o9bo$o3bo3bo3bo127bo8bo15bobo4b2o19b4o2bo16bo4bo8bo$165b
7obo23bo17b2o11bo$obobo3bobobo127bobobo4bo14bo61b2o$165b7obo17b3o20bo
4b2o7bo$4bo7bo127bo3bo4bo15bobo4b2o17b3o24bo$164b2o3bo10bo2b2o30b3o$4b
o3bobobo127bobobo4bo19b2o9b2o2bo32bo$161b2o3bo13bo3b3o2b3o26bo4bo$161b
o22b2obo2b2o25b2ob2obo$164bo20bo30bo3bo$162bobo21b2o28b4o$162b2o3b2o
18bo3bo21bo3b2o$164bobo21bo2bo21b2o$189bobo21bo11$173bo$59bo111b2o96b
2o31b2o$32b2o24bobo112bo94bo32bo5bo178bo$31bo26bobo114bobo15bo3b2o27bo
3b2o35b2ob3o27b2ob3o2b2o175bobo$31b2o25bo115bo2bo13bo2b2obobo24bo2b2ob
obo31b7obo2b2o20b7obo105b2o34b2o35bo$31b2o141bo2bo11b3o6bo3bo19b3o6bo
3bo5bo22bo3bo5bo22bo3bo108bobo4bo28bobo32b2o$26b4obo26bobo113bobo11bob
o7b7obo14bobo7b7obo2b2o15bo3bobo26bo3bobo35bo35bo36bo2bob2obobo25bo2bo
b2obobo25bo2bob3o$23bob3o148bo11bob2o9b2ob3o2b2o10bob2o9b2ob3o17bo2b2o
b2o25bo2b2ob2o32bo3bo31bo3bo39b2o3bobo28b2o3bobo25bo4b3o$obobo3bobobo
9b2o7b2o23b3o81bobobo3bobobo34bo4bo9bo5bo11bo4bo9bo19b3o30b3o30b3o4bob
o2bo23b3o4bobo2bo36b2obo32b2obo7bo24b2o$55bo117bobo10b2o15b2o14b2o15b
2o16bobo30bobo26bo2b2o4b2obobo3b2obo14bo2b2o4b2obobo3b2obo7bo20bo2bo
32bo2bo36b2o$o7bo3bo9bob2obo26b2obo82bo11bo16b3ob2obo77bob2o29bob2o25b
2o7bo12b2o3bobo6b2o7bo12b2o3bobo11b3o4bobo3bo22b3o4bobo3bo31bo2bo$22b
2o3bo30bo111bob2obo9bo4b2o26bo4b2o28bo4bo27bo4bo24bo3bo6b3o5bo2bob2obo
bo6bo3bo6b3o5bo2bob2obobo6bo2b2o4b2obobo3bo17bo2b2o4b2obobo3bo22b3o4bo
bo2bo$obobo3bo3bo14bo30bo81bobobo3bobobo14bo2bobo16bo32bo29b2o31b2o34b
2o4bo2bo7bobo4bo11b2o4bo2bo7bobo11b2o7bo26b2o7bo26bo2b2o4b2obobo$22b2o
29bo111bo2bo2b2o13b3o30b3o104b2o2bo8b2o21b2o2bo8b2o11bo3bo6b3o22bo3bo
6b3o22b2o7bo$4bo3bo3bo9bo29b2obo84bo3bo3bo15bo2bo2bo17bo32bo29bo4b2o
26bo4b2o32b3o4bo28b3o4bo26b2o4bo2bo26b2o4bo2bo21bo3bo6b3o$22b3o17bob2o
118bo3bob3o16bo32bo32bo32bo41bo35bo31b2o2bo31b2o2bo26b2o4bo2bo$obobo3b
obobo10b2o3bo11b2o3bo94bobobo3bobobo12b3obo2bo15b2o31b2o29b3o30b3o41b
2o34b2o28b3o4bo28b3o4bo31b2o2bo$29bo12bobo6bobo111bobo21bo32bo31bo32bo
39bo2b2o31bo2b2o34bo35bo28b3o4bo$26b2o18b3ob2o112b2o23b2o31b2o31bo32bo
36b2o34b2o38b2o34b2o35bo$25bob2o17b2ob2o135bo2b2o28bo2b2o30b2o31b2o38b
o35bo35bo2b2o31bo2b2o33b2o$25b2o21bobo110b2o3bo17b2o3bo27b2o3bo32bo32b
o108b2o34b2o36bo2b2o$21bobo25b3o109bo24bo32bo35b2o31b2o109bo35bo33b2o$
21bo27b4o111bo87bo2b2o28bo2b2o181bo$21bobo28bo109bobo85b2o3bo27b2o3bo$
162b2o3b2o83bo32bo$164bobo7$183bo$182bobo$24bo3bo153bobo$23bob2obo153b
o$23bobo249bo$24bo157bobo23bo36bo26b4o$22b2o183bobo34bobo25b3o$22b2o
156b3o24bobo34bobo22b2o2bo$26bob2o149bo27bo36bo23bo3b2o$25b2o9bobo25bo
bo111b2obo89b3o$obobo4bo26bo27bo75bobobo3bobobo29bo24bobo34bobo20bo2bo
$25b2obo7bobo2bo2bo19bobo2bo2bo109bo85b2o$o8bo15b2obo10bo27bo72bo11bo
24bo27b3o3b3o28b3o3b3o17bobobo$27bo12bob2obo22bob2obo102b2obo24bo5bo3b
2o25bo5bo3b2o15bo3bo7b2o$obobo4bo14bo2b2o12b3obo23b3obo66bobobo3bobobo
50b2obo3bo29b2obo3bo10bo9bo10bo$25b3o12bo4bo2bob2o16bo4bo2bob2o113bob
2o10bo3bo4bobo11bob2o10bo3bo4bob2obo10bo8b2o$4bo4bo27bo3b2o3bob4o13bo
3b2o3bob4o60bo3bo7bo22bobo13b2o3bo10bo5b2obob2obo6b2o3bo10bo5b2obobo
17bobo2b2o3bo$24bo12b2o2bo2bob2o4bo12b2o2bo2bob2o4bo4bo86bob2o17bobo6b
obo16bo8bobo6bobo28b2o3bo7bo$obobo4bo14b2o11bo8b2o4bo2b2o8bo8b2o4bo2b
3o54bobobo3bobobo17b2ob2o22b3ob2o31b3ob2o29bobo3bo3b2o$23bo2b2o14b2o3b
2o3bo2b3o12b2o3b2o3bo2b2o85b2ob2o22b2ob2o32b2ob2o30b2obo6bo$25bobo29bo
115bo25bobo34bobo26bobo15bo$21b2o3bo134bob2o6bobo26b3o34b3o25bo15b2o$
22b3o136bo3b2o33b4o33b4o24bobo11bo$23b2o136bob2o6bobo29bo36bo38bo$26bo
139b3ob2obo105bobo$24bobo140bob2o$25bo$168bobo$170b2obo$173bo6$669bo$
668b2o2$264bo399b2obo$262bo2b2o396b3obobo$260b3o68bo330b2o2b2obo$259bo
bo60b3o4bobo331bo4bo$173bobo18bob2o7bo29bobo21bob2o44bo9bo2b2o4b2obobo
33bo36bo36bo36bo36bo36bo36bo36bo35bobo$176bo15b2o3bo4b2o3bo26bo2bo20bo
4bo41b2o10b2o7bo29b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo27b
3o4bobo27b3o4bobo9bo17b3o4bobo9bo21bo3bo$obobo3bobobo127bobobo3bo3bo
18b2obob5o13bobo3b3o2bobo6bo20bo12b2o7b2o38bo9bo9bo3bo6b3o20bo2b2o4b2o
bobo22bo2b2o4b2obobo22bo2b2o4b2obobo22bo2b2o4b2obobo22bo2b2o4b2obobo9b
o12bo2b2o4b2obobo9bo12bo2b2o4b2obobo9b2o4bo6bo2b2o4b2obobo9b2o18bo2b2o
$170b2o4b3o19b3o2bo3bo6b2o20b2o10b2o38b3o4bobo11bo12b2o4bo2bo19b2o7bo
27b2o7bo27b2o7bo27b2o7bo27b2o7bo14b2o4bo6b2o7bo14b2o11b2o7bo10b2obobo
2b3o6b2o7bo10b2obobo2b2o12b3o$o11bo127bo7bo3bo10bo34b3o13bo8bob2o9bobo
9bo7bo4b2o20bo2b2o4b2obobo10bo18b2o2bo19bo3bo6b3o23bo3bo6b3o23bo3bo6b
3o23bo3bo6b3o23bo3bo6b3o6b2obobo2b3o6bo3bo6b3o6b2obobo2b2o7bo3bo6b3o6b
3o2bo2b2o7bo3bo6b3o6b3o2bo2b3o10bobo$161b2o3b3o2bo9bo34bo6bo3b2o5bobo
8bo2bo11bo22b2o7bo8b3o4bobo13b3o4bo4bo3bo15b2o4bo2bo27b2o4bo2bo27b2o4b
o2bo4bo22b2o4bo2bo4bo22b2o4bo2bo5b3o2bo2b2o12b2o4bo2bo5b3o2bo2b3o11b2o
4bo2bo3b2o2bo19b2o4bo2bo3b2o2bo7bo10bob2o$obobo3bobobo127bobobo3bobobo
10bo2bo4bo7b2o2bo17bo9bo4bo6bob2o6bo2b4o2bo4bo9b3o23bo3bo6b3o11b2o21bo
3bobobobo19b2o2bo4bo27b2o2bo4bo27b2o2bo3bobo26b2o2bo3bobo26b2o2bo3b2o
2bo24b2o2bo3b2o2bo7bo16b2o2bo32b2o2bo25bo4bo$165b3o10b3o3bo11b2o6b3o3b
4ob2o11b3obo5b2o2b2ob3obo9bo28b2o4bo2bo2bo2bobo3bo20b2o2bo2bobo3bo14b
3o4bo3bobo23b3o4bo3bobo23b3o4bo29b3o4bo29b3o4bo29b3o4bo29b3o4bo3bobo
23b3o4bo3bobo18b2o$4bo3bo131bo3bo7bo16bo11bo15bobobo2bo4bo6bo12bob2o5b
3o6b2o12bo31b2o2bo3bobobobo20bo2b2o9b2o21bo36bo36bo3b2o2bo28bo3b2o2bo
7bo20bo3bobo30bo3bobo30bo4bo31bo4bo$168b2obo3bobo3bo3bo11bo4bo3bo2bo5b
o45bo28b3o4bo4bo3bo19b2o7b3o4bobo19b2o3b2o2bo27b2o3b2o2bo7bo19b2o5b3o
2bo2b2o20b2o5b3o2bo2b3o19b2o4bo30b2o4bo30b2o35b2o23bo4b2o$obobo3bobobo
127bobobo7bo16b4o3b2o3bo3bo11bo3bo6b2obo2bo15bobo7bo19bo8b2o26bo30bo
13bo19bo2b2o4b3o2bo2b2o18bo2b2o4b3o2bo2b3o17bo2b2o4b2obobo2b3o17bo2b2o
4b2obobo2b2o18bo2b2o32bo2b2o32bo2b2o32bo2b2o26bo$170b4ob2o6bobo12bo9bo
23b2obob3o20bobo6b4ob3o19b2o45bo16b2o9b2obobo2b3o15b2o9b2obobo2b2o16b
2o13b2o4bo15b2o13b2o20b2o35b2o35b2o35b2o28b3o$177b2o20bo35bo24bo2b3o6b
obo19bo2b2o42bo20bo12b2o4bo17bo12b2o22bo12bo23bo12bo23bo36bo36bo36bo
29bo$265bo3bo4bo17b2o45b2o34bo36bo239bo4bo$264bob3obobob3o17bo46bo309b
2ob2obo$265b2o2b4o377bo3bo$269bo2bo377b4o$647bo3b2o$647b2o$647bo8$22bo
167b3o$22b2o2b2o138bo21b2o3bo139bo$22bo2bo138b2o20bo146b2o$25bo140bo
17b2o3bo3bo139bo$168b4o14bo2bo3bo15bo31bo31bo31bo29bo28bo$25b3o141bo2b
o15b2o17bo2b2o27bo2b2o27bo2b2o27bo2b2o27bo26bo2b2o$26bo143b2o17bo3bo
11b3o29b3o29b3o29b3o30b2o24b3o$23bobo145b2o16bo3bo10bobo29bobo29bobo
29bobo56bobo$22bo14bo128bobo20b3o12bob2o28bob2o28bob2o28bob2o32bo22bob
2o13b2o$obobo3bobobo9bo3bo8b2o17bobo83bobobo3bobobo13bobo34bo4bo26bo4b
o26bo4bo26bo4bo30bobo20bo4bo12b2o$21b2obobo10bo10b2o2b2o2bo108bo2bo20b
3o10b2o30b2o30b2o30b2o34b4o19b2o17bo$o11bo11bo3bo10b5o3b3o6bo83bo7bo
17b2o21bo3bo89bo31bo14b2o2bo36bobo2bo$23b2ob2o12bo4bo4bobo118bo17bo3bo
7bo4b2o25bo4b2o25bo4b2o9b2o6bo7bo4b2o9b2o15b2obobo20bo4b2o7bo4bo$obobo
3bobobo10b2obo13bo4bob3o2bo87bobobo3bobobo13b3o2b2o15b2o15bo31bo31bo9b
o4bob2obo11bo9bo4bobo11b2o2bo25bo9bo2b3obo$26b2o12bo4bo6b2o112bob5o13b
o2bo3bo8b3o29b3o29b3o9b3o3bobo11b3o9b3o3bob2obo7b2o26b3o9bobo3b2o$4bo
7bo9bo3b2o11b2obo3b3o3b3o85bo3bo7bo13bobo15b2o3bo3bo10bo31bo31bo8bo4bo
17bo8bo4bo6bo6bo30bo9bo$26bo14bo4b3o117bo2bo16bo18bo4bob3o22bo4bob3o
22bo4bob2obo21bo4bob2obo16bo5bo25bo4bobobo$obobo3bobobo10b3o17b2o2b2o
91bobobo3bobobo13bo21b2o3bo10b2ob2obob2obo20b2ob2obob2obo20b2ob2obob3o
21b2ob2obob3o18bob3o6b2obobo13b2ob2obo$25bo18b2o122b2o20b3o10bo3bo5bo
4bo16bo3bo5bo4bo6bo9bo3bo27bo3bo30bo3bo4bob2obo9bo3bo$26bo176b4o7b3o3b
obo12b4o7b3o3bob2obo9b4o28b4o28b4o2bo10bo9b4o$25b2o140b2o16b3o12bo3b2o
9bo4bob2obo6bo3b2o9bo4bobo9bo3b2o26bo3b2o29bo2bo2bo3b2o12bo3b2o$26bo
139bobo19bobo9b2o15b2o6bo6b2o15b2o13b2o30b2o36bo3b3o14b2o$26b2o137b2o
3bo3bo9bo2bobo10bo18bo12bo18bo12bo31bo36bo21bo$23bo2b2o133bo3b2obo3bo
2b2o6bo3bo145bobo$21b2o3bo134b2o2bo4b3o11bo148bobo$23bo137bo2b2o19b2o
147bo$186b3o$186b3o9$481bo$443bobobo26bobob2obo$382bo58bo3bob2obo21bo
3bobo$382b2o34bo21bo9bo20bo$382bo35b2o19bo3b2o25bo3b2o$29b4obo162bo31b
o38b2o33bo32bo47bo34bo19bob2o27bob2o$28b4o4bo6bo127b2obo22b2ob2o27b2ob
2o34b4o22b3o4bobo23b3o4bobo47bo29bob2obo8b2ob2o7bo18b2ob2o7bo$obobo3bo
3bo12b2o7bo2b2ob2o2b2o94bobobo3bobobo14b3obob3o17bobo2bo26bobo2bo30bo
5bo3bo17bo2b2o4b2obobo8b2obo6bo2b2o4b2obobo45b3o22bobob2obob2obo7b3o8b
o19b3o8bo$23bo2bo3bo3b3o4bo121bobo10bo3b2o8bo2bo6bo3bo17bo2bo6bo3bo24b
2ob2o2bo20b2o7bo12bob3o6b2o7bo39bobobo5bo2bo20bo3bobo5bo2bo7b2obo2bo2b
obo19b2obo2bo2bobo$o7bo3bo8b2o3bo3bo3bo2bo2bo99bo7bo12b2o4b2o5bo3b4o6b
2o3b2o9b2o14b2o3b2o9b2o19bobo2bo2bo3bobo17bo3bo6b3o8b2o9bo3bo6b3o33bo
3bob2obob2obo20bo13b3o16bobo28bobo$23bo13bo125bob2o2bo4b3obo11bo2b2o4b
2obo19bo2b2o4b2obo10bo8bo2bo7b3o3bo7bobo12b2o4bo2bo6bobo14b2o4bo2bo6b
2o23bo9bob2obo19bo3b2o11bo11b2obo27b2obo$obobo3bobobo12b2o3bo5bo103bob
obo3bobobo16bo4bo17bo2bo2bo3bo5bo2b2o11bo2bo2bo3bo5bo2b3o6b2o3b2o14bo
4bo2bo17b2o2bo3b3ob3o18b2o2bo4b3obo21bo3b2o10bo19bob2o13bo13b2o29b2o$
27b3o6b3o124bob2o2bo4b3obo14b2o7bo5bo2b3o11b2o7bo5bo2b2o9bo2b2o10bo2bo
4bo3bo14b3o4bo3bo4bo16b3o4bo3bo4bo21bob2o11b2o8b2ob2o7bo13bo15b3o28b3o
$4bo7bo24b2o101bo3bo3bo3bo8b2o4b2o5bo3b4o16bo4b2o3bo4bo16bo4b2o3bo15bo
2bo7b2o3bo2bobo25bo4b3obo23bo3b3ob3o9b2ob2o7bo13bo8b3o8bo15b2o16bo2b2o
26bo2b2o$37bo125bobo10bo3b2o15b2o4bob3o21b2o4bob3o17b2o6bo8b2o2b2o22b
2o6b2o23b2o6bobo9b3o8bo25b2obo2bo2bobo14bo19bo3bo26bo3bo$obobo7bo23bob
o101bobobo3bobobo14b3obob3o16bob2o3bo4b4o16bob2o3bo4b4o25bo11bo22bo2b
2o28bo2b2o6b2o10b2obo2bo2bobo33bobo38bobo28bobo$36bobo132b2obo17bo3b2o
2b2o3bo18bo3b2o2b2o3bo27bobo10b2o18b2o31b2o11bob3o16bobo28b2obo45bo4bo
25bo4bo$37bo154bob2o28bob2o51b2obo17bo32bo11b2obo11b2obo34b2o44b2o2b2o
bo23b2o2b2obo$282bo79b2o34b3o44b3obobo24b3obobo$362b3o35bo2b2o41b2obo
27b2obo$364bo2b2o33bo$366bo83b2o29b2o$451bo30bo36$56bo$55bobo$54b2o$
56bo$56bo140bo804bo$194b4o705bobo95bobo$54b2obo136b3o451bo31bo94bo32bo
35bo38bo19bo96b2o91b2o$39b2o12b3o137bo454b2o4bo25b2o92bobo30bobo33bobo
36bobo18bo2bo95bo90b2o$39b2o12bo3bo132b2ob2o312bo44bo26bo31bo32b2obobo
2b3o21b2obobo2b2o23bo32bo30b2o31b2o35bobo36bobo20bo3bo92bo90bo$39bo13b
ob2o132b3obo133bo44bo132b2o6bo36b2o23bo2bobo26bo2bobo31b3o2bo2b2o22b3o
2bo2b3o21bobo30bobo31bo32bo34bo38bo24bobo16bo30bo130bobo2bo$36bo2bo
148b2o2b3o130b2o6bo36b2o36bob3o40bob3o45bo4bob2obo34bo4bobo16b4o28b4o
34b2o2bo27b2o2bo7bo20b2o31b2o33bo32bo96b2o19b2o6bo22b2o6bo35b2o84bo4bo
$33bo4bo14bo2bo9bo122bo4bo2b2o22bobobo40bobobo52bo4bob2obo34bo4bobo25b
obob2obob2obo32bobob2obob2obo43b3o3bobo36b3o3bob2obo13b3o3b2o2bo21b3o
3b2o2bo7bo16bo31bo37bo32bo100bobo36bobo20b3o18bo6b3o21bo6b3o32b2o32bob
obo49bo2b3obo$29b2o2b2ob3obo11b2o10b2o22bo97bobo7bo22bo3bob2obob3o31bo
3bob2obob3o44b3o3bobo36b3o3bob2obo20bo3bobo5bo4bo27bo3bobo5bo4bo6bo32b
o4bo39bo4bo6bo10b2o2bo6b3o2bo2b2o11b2o2bo6b3o2bo2b3o13b4o2bobo23b4o2bo
bo32bo32bo31b2o31b2o119bo6bo23bo6bo30b2o2bo29bo3bob2obo45bobo3b2o$obob
o3bobobo15bo2bo6b2o8bo3b2o12bo19b2obo23b2o35b2o30bo3bo31bo9bob2obo29bo
9bob2obo32bobobo5bo4bo29bobobo5bo4bo6bo19bo13b3o3bobo22bo13b3o3bob2obo
29bob2obo39bob2obo19bo3b2o6b2obobo2b3o9bo3b2o6b2obobo2b2o14b3o4bo24b3o
4bo96b2o31b2o34b3o3b3o30b3o3b3o16b2o21b2ob3obo23b2ob3obo30b3o30bo9bobo
bo41bo$21b4obo21bo19bo5b3o7b2o3bo14bo3b3o2b3o25bo3b3o2b3o27bo2b2o32bo
3b2o8bo4bo25bo3b2o8bo4bo6bo20bo3bob2obob2obo30bo3bob2obob2obo28bo3b2o
10bo4bob2obo18bo3b2o10bo4bobo25bobob2obob3o33bobob2obob3o23b3o10b2o4bo
12b3o10b2o15b2o2bo27b2o2bo38b2o31b2o27b2o2bo28b2o2bo32bo5bo3b2o27bo5bo
3b2o14b2o3bo20bo3bo26bo3bo19bo2b2o9b2o27bo3b2o9bo37bobobo$o11bo8bo2b4o
bo17b2o2bo15bo5bo10b2obo14b2obo4bo2b2obobo4bo15b2obo4bo2b2obobo4bo17b
3o36bob2o11b3o3bobo21bob2o11b3o3bob2obo19bo9bob3o30bo9bob3o29bob2o14b
2o6bo18bob2o14b2o27bo3bobo38bo3bobo26bo2bo13bo14bo2bo13bo15bo3b2o26bo
3b2o36b2o31b2o29b3o30b3o33b2obo3bo31b2obo3bo10bo16b2o10b2o2bobo24b2o2b
obo23b2o2bo38bob2o11bobo3b2o23bobob2obo$48bob2o15bobo3bo3b2o2b2o4b2o
10bobob2o3b2o5b3o6bo11bobob2o3b2o5b3o6bo15bobo26b2ob2o7bo14bo4bob2obo
7b2ob2o7bo14bo4bobo21bo3b2o39bo3b2o28b2ob2o7bo18bo13b2ob2o7bo18bo25bo
44bo34b2o30b2o33b3o29b3o34b2o2bo28b2o2bo17bo2b2o9b2o17bo2b2o9b2o35bo3b
o4bobo27bo3bo4bob2obo11b2o3bo10b3o28b3o20bo7bo3b3o2b3o20b2ob2o7bo14bo
2b3obo20bo3bobo$obobo7bo8b3o24bob2o15bobobo3bo4b2ob2o3b3obo6bo7bo3b3ob
o3b4obo11bo7bo3b3obo3b4obo4bo10bob2o24b3o8bo18b2o6bo6b3o8bo18b2o25bob
2o41bob2o29b3o8bo33b3o8bo45bo3b2o39bo3b2o30bobobo27bobobo26bo2bo28bo2b
o37b3o30b3o19b2o2bo28b2o2bo46bo5b2obob2obo24bo5b2obobo15bobo4b2o7bo15b
2o13bo20bo12b2obo2b2o19b3o8bo16bo4bo21bo$48bob2o19b5obo2bob3o4bobo7bo
4b2ob2o4bo4b2o3b3obobo6bo4b2ob2o4bo4b2o3b3obobo9bo4bo24b2obo2bo2bobo
19bo13b2obo2bo2bobo19bo13b2ob2o7bo32b2ob2o7bo32b2obo2bo2bobo33b2obo2bo
2bobo44bob2o41bob2o32bo3bo27bo3bo27b2o30b2o27bo2b2o9b2o17bo2b2o9b2o17b
o3b3o2b3o21bo3b3o2b3o34bo18bo19bo31b7obo8b2ob2o10b3ob2obo8b2ob2o15b2o
12bo26b2obo2bo2bobo16bobo2bo19bo3b2o$o3bo7bo8bo2b4obo17b2o2bo15bo10bo
22b2obobo11bo8bobo8b2obobo11bo8bobo8b2o38bobo42bobo32b3o8bo33b3o8bo43b
obo42bobo33b2ob2o7bo32b2ob2o7bo34bo31bo31bobobo27bobobo24b2o2bo28b2o2b
o32b2obo2b2o25b2obo2b2o33b2obo35b2obo28bo22bo5bob3o6bo13bo5bo6bo16b2o
33bobo21bo19bob2o$21b4obo21bo17bo4b2o32b2o22bo12b2o66b2obo41b2obo37b2o
bo2bo2bobo33b2obo2bo2bobo37b2obo41b2obo36b3o8bo33b3o8bo37bo31bo30bo3bo
27bo3bo24bo3b3o2b3o8b2o11bo3b3o2b3o8b2o16bo32bo29bob2o35bob2o39b7obo8b
2o7bobo6bo12b2o7bobob3o6bo13bo3bo24b2obo25b2o7b2ob2o7bo$obobo7bo15bo2b
o6b2o8bo3b2o13bo2bo2bo32b4o33b4o27bo4b2o31b2o43b2o46bobo42bobo39b2o43b
2o37b2obo2bo2bobo33b2obo2bo2bobo40bobo29bobo24bo31bo32b2obo2b2o7bobo4b
o10b2obo2b2o7bobo17b2o31b2o25b2o3bo33b2o3bo39bobo4b2o9bo6bobo9b2o10bo
6bobo4b3ob2obo14bo2bo2bo23b2o25b2o6b3o8bo$29b2o2b2ob3obo11b2o13b3obobo
34bo36bo32bo33b3o42b3o40b2obo41b2obo43b3o42b3o45bobo42bobo37b2o3bo26b
2o3bo25bo31bo32bo10bo2bob2obobo11bo10bo2bob2obobo13bo3bo3bo24bo3bo3bo
19bobo6bobo27bobo6bobo30b2o3bo14bo2bo14bo12bo2bo9b2o21bobo2bo23b3o33b
2obo2bo2bobo$33bo4bo14bo2bo16bo101b3o36bo2b2o40bo2b2o38b2o43b2o45bo2b
2o40bo2b2o36b2obo41b2obo40bobo3bo25bobo3bo29bobo29bobo27b2o11b2o3bobo
12b2o11b2o3bobo14bo2bo3bo25bo2bo3bo23b3ob2o33b3ob2o37b2o14bobobob2o10b
o12bobobob2o33b2o23bo2b2o38bobo$36bo2bo137bo38bo44bo40b3o42b3o46bo44bo
40b2o43b2o40b2obo28b2obo29b2o3bo26b2o3bo28bo3bo3b2obo21bo3bo3b2obo7bo
15bobo2bo27bobo2bo24b2ob2o34b2ob2o30b2o3bo17b2o3bo25b2o3bo36b2o25bo35b
2obo$39bo13bob2o121bo125bo2b2o40bo2b2o128b3o42b3o35bobo29bobo33bobo3bo
25bobo3bo29bo2bo2bo26bo2bo2bo33b2obo29b2obo7bo14bobo36bobo30bo24bo30bo
40bo4b3o56b2o$39b2o12bo3bo119b2o127bo44bo132bo2b2o40bo2b2o31bo31bo35b
2obo28b2obo33bobo3bo26bobo3bo36b2o3bobo25b2o3bobo15b3o36b3o32bo93bo2bo
b3o56b3o$39b2o12b3o122bo307bo44bo33bobo29bobo29bobo29bobo44bo32bo33bo
2bob2obobo22bo2bob2obobo15b4o35b4o29bobo95b2o62bo2b2o$54b2obo120b2o
449bo31bo116bobo4bo25bobo23bo38bo29b2o3b2o94bo62bo$175bo2b2o449bobo29b
obo115b2o31b2o94bobo97bobo$56bo116b2o3bo830bo$56bo118bo$54b2o$55bobo$
56bo6$287bo7bo$73bo211b2o7bo$71b2o214bo6b2o$48bo24bo218bo$21bobo22b2o
27bobo210b2o6bo$21bo26bo25bo2bo18bobo4b2o184b3ob2obo70bo$21bo28bobo21b
o2bo18bo7bo2bo11b2o26b2o136bo3b2o73b2obo$23b2o24bo2bo21bobo19bo2b3o5bo
10b3o25b3o43bo64bo27b2o76b2o$22b3o24bo2bo23bo21bo5bo2bo11bo27bo42b2o
37bo18b3o4bobo27bo76bo$21b2o7bobo16bobo51b2o15b2ob2o23b2ob2o39bo34b2o
14bo2b2o4b2obobo29bo27bobo41b2o2b2o$21bo3b2o2bo2bo12bo5bo21bobo17bob2o
bo26bo27bo40b5o21bo8bo13b2o7bo34bo26bo2bo11bobo25bo2bobo$obobo3bobobo
11bobobo3bo6bo3bo2bo22b3ob2obo15b3o4bo20b2o26b2o34bo10bo3bo11b3o4bobo
10b5o7bo3bo6b3o29b2o27bo12bo2bo25bo4bo3bo$24bo3bo10b2o2bo4bobo19bob2ob
o22bo22bo2bo24bo2bo22b3o4bobo4b2o3bo4bo6bo2b2o4b2obobo11bo3bo11b2o4bo
2bo58b2o9bo3bo24b2o5bo2bo$o7bo3bo11bobo2b2o8bo3bo2b4obo15bo2bobo19b2o
29bo27bo18bo2b2o4b2obobo2b2o6bobo8b2o7bo10b2o3bo4bo16b2o2bo30bo14bob2o
9bobo7b2o28b2o6bobo$26b2o19b2obo14bo2bo2b2o16b5obo18bobo4bo20bobo4bo
20b2o7bo13b2o11bo3bo6b3o4b2o6bobo15b3o4bo4bo3bo20bobo13bo3b2o5bobo8bob
2o23bo2bo$obobo3bobobo10b2ob2o16b2o18bo2bo2bo16b2ob2obo20bo27bo27bo3bo
6b3o3bobob2o18b2o4bo2bo9b2o25bo3bobob2o19b4o13bob2o6bo2b4o2bo20b3o4bob
o2bo$23b2ob2o16b2o18bo3bob3o14bo3bobobo18bobo2bo2bo19bobo2bo2bo24b2o4b
o2bo3bo3bo23b2o2bo3bobob2o26b2o9b2o13b2o2bo21b3obo5b2o2b2ob2obo9bo2b2o
4b2obobo$o3bo3bo3bo13b2o19b2obo14b3obo2bo14b2obob2obo21bo27bo34b2o2bo
28b3o4bo4bo3bo24bo2b2o2b2o6bobo10b2obobo21bob2o5b3o7b2obo6b2o7bo$24bob
o2b2o8bo3bo2b4obo13bobo22b2o26bob2obo22bob2obo25b3o4bo35bo31b2o9b2o3bo
4bo8b2o2bo44bo6bo3bo6b3o$obobo3bobobo11bo3bo10b2o2bo4bobo13b2o21b3o29b
3obo23b3obo32bo34b2o33bo14bo3bo7b2o27bobo7bo22b2o4bo2bo$24bobobo3bo6bo
3bo2bo41bo29bo4bo2bob2o16bo4bo2bob2o25b2o32bo2b2o46b5o7bo31b2obob3o28b
2o2bo$21bo3b2o2bo2bo12bo5bo9b2o3bo17b2o29bo3b2o3bob4o13bo3b2o3bob4o23b
o2b2o29b2o49bo13bo5bo28bo29b3o4bo$21b2o7bobo16bobo9b2o21b2o29b2o2bo2bo
b2o4bo12b2o2bo2bob2o4bo4bo15b2o36bo46b2o15bob3o66bo$22b3o24bo2bo33bo
28bo8b2o4bo2b2o8bo8b2o4bo2b3o17bo84bo19bo64b2o$23b2o24bo2bo8b3o21bobo
32b2o3b2o3bo2b3o12b2o3b2o3bo2b2o120b4o62bo2b2o$21bo28bobo8b2o22bob2obo
44bo147bo2bo60b2o$21bo26bo14bobo20bo3bo195bo62bo$21bobo22b2o13bo3bo
219bo$48bo10bo2bo222bobo$59bo225bobo$59bobo224bo6$99bo$98bobo$97b2o$
99bo$99bo$218bo3bo22bo3bo$97b2obo116bob2obo21bob2obo12bo$23bo3bo18bo3b
o18bo3bo22b3o118bobo13bobo8bobo13bobo$22bob2obo17bob2obo17bob2obo22bo
3bo117bo10b3obobo9bo10b3obobo28bo33bo228b2o5b2obo16bobo6bo$22bobo20bob
o20bobo25bob2o116b2o7b4obo4bo7b2o7b4obo28bo2b3o28bo2b3o98bo2b2o29bo2b
2o90bo6bo2b2o16bo7bobo$23bo22bo22bo146b2o7bo4bo12b2o7bo4bo28bo2b2o29bo
2b2o99bo2b3o28bo2b3o89b2o5bo20bo7bo48bo$21b2o14bo6b2o21b2o14bo12bo2bo
20bo99bob2o5bo17bob2o5bo25bo3bo29bo3bo40bo33bo24bo3bo4bo24bo3bo4bo89b
2o6bo21bo3b2o47bo2b2o$21b2o7bobob2obo6b2o7bobobo9b2o7bobob2obo11b2o22b
2o3bo5b2o87b2o5b2o18b2o5b2o26bob3o29bob3o36bo2b3o28bo2b3o23bob3o29bob
3o34bo2b2o29bo2b2o17b4obo3b2ob2o25b2obobo20bo20b3o$obobo3bobobo12b3o4b
obo13b3o4bob2obo10b3o4bobo10bo3b2o21b2o3bob2o5bo20b2o6bo29b2o6bo81bob
3o29bob3o36bo2b2o29bo2b2o24bob3o29bob3o34bo2b3o28bo2b3o13bob3o6b2o3bo
21b2o3bo2bo12b3o4bobo19bobo15bobo$24b2o21b2o11bo9b2o19bo19b4o2b3o3bo4b
obo13bo3b3o2b3o26bo3b3o2b3o25b2obo23b2obo19bob2o8b3o19bob2o8b3o34bo3bo
29bo3bo16bob2o8b3o19bob2o8b3o32bo3bo4bo24bo3bo4bo12b2o7b2o3b2o21bo3b2o
12bo2b2o4b2obobo19bob2o13bo2bo$o7bo3bo17b2o21b2o21b2o12b2o2bo14bo5b2o
4bo4bobo13b2obo4bo2b2obobo5bo15b2obo4bo2b2obobo5bo16b2obo23b2obo19bo3b
2o5b2o21bo3b2o5b2o35bob3o29bob3o17bo3b2o5b2o21bo3b2o5b2o33bob3o29bob3o
34b2o17b2o18b2o7bo10b2o11bo4bo11bo3bo$24b6o17b6o17b6o15bob2o12b2o6bobo
3bo6bo10bobob2o3b2o5b3o7bo11bobob2o3b2o5b3o7bo17bo26bo20bob2o6bobo21bo
b2o6bobo35bob3o29bob3o17bob2o6bobo21bob2o6bobo33bob3o29bob3o18bob2obo
31bo17bo3bo6b3o6b2o10b2o15b2o$obobo3bobobo11bo22bo22bo20bob2o14bo2bo2b
o6bo16bo7bo3b3obo3b5obo11bo7bo3b3obo3b5obo4bo9bo2b2o22bo2b2o24b3obo29b
3obo26bob2o8b3o19bob2o8b3o24b3obo29b3obo24bob2o8b3o19bob2o8b3o20b2o3bo
24bo8bobo18b2o4bo2bo4bob2o23bobob2o$24b6o17b6o17b6o15bob2o16b2o4b2obob
o16bo4b2ob2o4bo4b2o4b3obobo6bo4b2ob2o4bo4b2o4b3obobo10b3o24b3o26bob2o
30bob2o26bo3b2o5b2o21bo3b2o5b2o27bob2o30bob2o24bo3b2o5b2o21bo3b2o5b2o
27bo24b2o6bo2bo23b2o2bo3b2ob2o8bo4b2o7bo$o3bo7bo17b2o21b2o21b2o12b2o2b
o17bo5bo3bobo16b2obobo11bo9bobo8b2obobo11bo9bobo130bob2o6bobo8bo12bob
2o6bobo8bo80bob2o6bobo8bo12bob2o6bobo8bo13b2o28bo7bo2bo20b3o4bo6b2o12b
o9bo2b2obo$24b2o21b2o11bo9b2o11bo7bo4bo15bo4b2o2bo23b2o23bo12b2o33bo
26bo30bobo31bobo31b3obo9b2o18b3obo9b2o6bo13bobo31bobo29b3obo9b2o18b3ob
o9b2o6bo7bo31bo5bobo28bo3b2o2bo9b3o9bobo4b2obo$obobo3bobobo12b3o4bobo
13b3o4bob2obo10b3o4bob2obo7bo3b3o12bo8b3obobo20b4o34b4o30b2o25b2o31b2o
bob3o26b2obob3o25bob2o7bo4bobo15bob2o7bo4bob2obo15b2obob3o26b2obob3o
23bob2o7bo4bobo15bob2o7bo4bob2obo7b3o29bo7bo27b2o5bob2o10bo9bo9bo$21b
2o7bobob2obo6b2o7bobobo9b2o7bobobo15b2o12b2o8b2ob2o23bo37bo30bo2b2o22b
o2b2o32bob2obo28bob2obo34b3o3bob2obo22b3o3bobo21bob2obo28bob2obo32b3o
3bob2obo22b3o3bobo11b2o3bo24b2o33bo2b2o6b2o11bo4bobobo$21b2o14bo6b2o
21b2o41bo9b3obo94bobo24bobo35bo4bo6bo21bo4bo22bobo5bo4bo6bo13bobo5bo4b
o28bo4bo6bo21bo4bo20bobo5bo4bo6bo13bobo5bo4bo21bo21bo2bo2bobo26b2o10bo
12b2ob2obo$23bo22bo22bo27b3o115b2o3bo21b2o3bo37b3o3bob2obo22b3o3bobo
20b2obob2obo25b2obob2obo32b3o3bob2obo22b3o3bobo18b2obob2obo25b2obob2ob
o21b2o21b2o6bob2o27bo8bo12bo3bo$22bobo20bobo20bobo26bobo116b3o24b3o40b
o4bobo26bo4bob2obo20bob3o29bob3o34bo4bobo26bo4bob2obo18bob3o29bob3o21b
ob2o22bo5b4o35b3o11b4o$22bob2obo17bob2obo17bob2obo21b2o120b2o25b2o42b
2o32b2o6bo95b2o32b2o6bo78b2o26b4o40b2o8bo3b2o$23bo3bo18bo3bo18bo3bo22b
obo121bo26bo42bo33bo103bo33bo80bobo34bo3bo44b2o$96bob2o118bobo24bobo
295bo36b5o44bo$98b2o119bo26bo296bobo35b2o2$99bo$97b2o$97b2o$99bo4$29bo
$27bo2b2o136bobo$25b3o138b2o3b2o$24bobo13bo125bobo$24bob2o10b2o3bo77bo
24bo21bo$23bo4bo11bo2b2o74bo2b2o20bo2b2o16bo$22b2o19b2o72b3o22b3o20b2o
3bo$43bo72bobo22bobo27bo$21bo4b2o14b2o72bob2o21bob2o23b2ob2o$25bo17bo
71bo4bo19bo4bo23bob2o$22b3o15b3o17bobo4b2o20bobo4b2o16b2o23b2o27b2obo$
24bo15b2o18bo7bo2bo17bo7bo2bo70bo$26bo12bobo18bo2b3o5bo17bo2b3o5bo12bo
4b2o18bo4b2o22bo2bo$obobo3bobobo13bo12bob4o17bo5bo2bo19bo5bo2bo16bo24b
o24bo2b2o$25bo3b2o8bobo13b2o10b2o15b2o10b2o16b3o22b3o26b2o$4bo3bo3bo
12bobo16b2o8b3o3b2o21b3o3b2o25bo24bo$25bo3bo11b3o11b2obo4bo20b2obo4bo
24bo12bo11bo$4bo3bo3bo16b2o9b2obo14bo4bo23bo4bo23b2o7bo2b3o10b2o7bo2b
2o11b3o$29b2o9b2o2bo72bo7bo2b2o12bo7bo2b3o13bobo$4bo3bo3bo12bo3bo10b2o
2bo13b6o23b6o24b2ob2o3bo16b2ob2o3bo4bo9bo2bobo$25bobo13b2o19b2o2bobo
22b2o2bobo16bo2b2obob3o14bo2b2obob3o14bo3bo$4bo3bobobo12bo3b2o25bo2b2o
5b2ob2o14bo2b2o5b2ob2o12b2o3bo3b4o12b2o3bo3b4o15bo$26bo16bo10b2o3bob2o
b2o17b2o3bob2ob2o10bo8bo7bo16bo7bo18b2o$26bo16b3obo8bo3b2o3bo5bobo11bo
3b2o3bo5bob2obo61b3o$24bo17bo2bo15bo6b2obob2obo13bo6b2obobo21bo24bo17b
3o$22b3o16b2o4bo17b2o9bo17b2o26bobo22bobo$25bo14bo6bo74bo2bo21bo2bo$
21bo4b2o12b2o4bo75bo2bo21bo2bo13b3o$46bo76bobo22bobo16bobo$22b2o18b3o
76bo24bo16bo2bobo$23bo4bo12bo4b2o71b2o23b2o16bo3bo$24bob2o12b3o78bo24b
o16bo$24bobo14b2o121b2o$25b3o137b3o$27bo2b2o133b3o$29bo!

Edit: I added the following trivial variant to the above collection:
x = 23, y = 15, rule = B3/S23
22bo$5b2o8bobob2obo$3b2o12bobo$obob2o6bo$o14b2o$o4bo4b2ob2o$2b2obo3b3o
$7b3o7bo$12b2o3bo$13bo2bo$11b3o2b2o$10bo2bo2b2o$11bobo2bo$11bobo3bo$
17bo!
-Matthias Merzenich
Sokwe
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Re: Spaceship Discussion Thread

Postby muzik » June 11th, 2016, 10:59 am

Decided to bring the topic of the pre-pulsar engine back up.


So we have this 3c/14 one:

x = 15, y = 7, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2bo3bobo3bo$2bo3bobo3bo$o2b3o3b3o2bo$o13bo$o13bo!


However, we also have this 7c/40 replicator in a bounded grid universe. I'm wondering if this could be of any use?

x = 19, y = 6, rule = B3/S23:T0,6
$5b3o$4bo3bo$4bo3bo$4bo3bo$5b3o!




On the topic of bounded grids, we also have this:

x = 12, y = 5, rule = B3/S23:T0,6
b3o$o3bo5b2o$o3bo5b2o$o3bo$b3o!
2c/n spaceships project

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Posts: 2595
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Location: Scotland

Re: Spaceship Discussion Thread

Postby moebius » June 11th, 2016, 11:40 am

I found a 3c/7 spaceship. It is width 29 odd symmetric and due to Paul Tooke's width 27 odd symmetric search the minimum width ship of its type.

x = 35, y = 141, rule = B3/S23
$12bo7bo$11bobo5bobo$10b2ob2o3b2ob2o$11bobo5bobo$9bob2o3bo3b2obo$9b7ob
7o$13b7o$12bob2ob2obo$9b2obo7bob2o$8b3ob2o5b2ob3o$7bo17bo$10bob2o5b2ob
o2$14bo3bo$9bob3o5b3obo$10bob3o3b3obo$14bo3bo$13b2o3b2o$12b2o5b2o$11b
3o5b3o$8b4o9b4o$7bo17bo$6b2o3b2o7b2o3b2o$7bobobobo5bobobobo$7b3o2b3o3b
3o2b3o$12bo7bo$7bo17bo2$7bobobo9bobobo$9b3o9b3o$6bob3o2bo5bo2b3obo$7b
2ob3o7b3ob2o$11b2o7b2o$11bob2o3b2obo$11bo3bobo3bo$3b3o5bo3bobo3bo5b3o$
3bob2o6bo5bo6b2obo$3bo2bo3b2ob2o3b2ob2o3bo2bo$6bo2b2o3bo3bo3b2o2bo$10b
o2bo5bo2bo$5bobobobo9bobobobo$3b2obo19bob2o$9bo13bo$6b2o17b2o2$5bo21bo
$4b2o21b2o$3b2o23b2o2$3b2o23b2o$4bo23bo$5bo4bobo7bobo4bo$4b3o4bob2o3b
2obo4b3o$4b3o2bobob2o3b2obobo2b3o$9bo2b2o5b2o2bo$8b4o9b4o2$6b2o17b2o$
6b2o2b2o9b2o2b2o$7bo2bobo7bobo2bo$4bo2bobo2bo3bo3bo2bobo2bo$4bo4bo3bob
3obo3bo4bo$5bobobo4bobobo4bobobo$7bobo4bo3bo4bobo$5b4o2bobo5bobo2b4o$
5b3ob2ob2ob3ob2ob2ob3o$14b5o$11bobo5bobo$11bob2o3b2obo$16bo$16bo$10b2o
9b2o$10b2obo5bob2o$10bob2obobob2obo$12b2obobob2o$9bobobobobobobobo$9b
2o2bo5bo2b2o$10bob2o5b2obo$12b2o5b2o$11bo9bo$11b3o5b3o4$12bo7bo$11b2ob
o3bob2o$11bo2bo3bo2bo$11b3o5b3o$13b3ob3o$14b2ob2o$15bobo$14b2ob2o$12b
2o2bo2b2o$16bo$11b2o7b2o$10b3obo3bob3o$9bo2bo7bo2bo$10bo11bo$11bo9bo$
8b2ob2o7b2ob2o$11bo9bo$7bo3b2o7b2o3bo$8b6o5b6o$12bo7bo$11b2obo3bob2o$
12bob2ob2obo$11bo9bo$12bobo3bobo$10bobobo3bobobo$12bob5obo$11b2ob2ob2o
b2o$11b4o3b4o$10bo2bo5bo2bo$9bo2bo7bo2bo$10bob2o5b2obo$8bob2o9b2obo$8b
2o13b2o$8b2o13b2o$9b2o2b3ob3o2b2o$9b2o2b2o3b2o2b2o$12b2o5b2o$9bo2bo7bo
2bo$9bo2bo7bo2bo$8b2obo9bob2o$8bo2bo3b3o3bo2bo$8bo2bo3b3o3bo2bo$11bo2b
o3bo2bo$7b2obo4b3o4bob2o$6b6o3bobo3b6o$6bo19bo$10bo2b3ob3o2bo$10bo3bo
3bo3bo$10bo11bo$15b3o$16bo$13b3ob3o$14b2ob2o!


I found using a modified version of knightt. The modifications were that I got search tree logging to work correctly and I added the capability to interpret odd symmetric trees as gutter symmetric trees, and therefore could switch between search modes.

I had completed a width 25 odd symmetric 3c/7 search. I noticed that the longest partial had a ~200 phase (30 rows) section where it was gutter (no central isle live cells). I had been running a width 27 odd symmetric search, but it was going too slow and had been completed anyway by Paul Tooke. So I terminated that search at phase 93 and continued it at width 29 gutter symmetric with tree logging enabled. This search ultimately terminated with no ships found at roughly phase 560 after a couple of weeks. As it was running I would occasionally continue it at lower widths at both gutter and odd symmetries. I noted that the width 29 enabled a couple of novel threads at around phase 300. One of the continuations was a width 25 odd symmetric search started from the gutter symmetric at phase 400. This search gained great strength at roughly phase 600, but unfortunately I had not turned on tree logging, so I couldn't tell what was going on and it really slowed down and is still going and is at about phase 850 after a few weeks. So I started another width 25 odd symmetric search at phase 400 and enabled tree logging. At phase 563 I started a width 23 odd symmetric search from the width 25 search and after about 5 days the posted ship was found.

Have a happy day,

-Tim Coe
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Re: Spaceship Discussion Thread

Postby gmc_nxtman » June 11th, 2016, 11:45 am

Congratulations!
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Re: Spaceship Discussion Thread

Postby muzik » June 11th, 2016, 12:28 pm

Also congratulations!

Filled in some data on the wiki's spaceships page. What should we name this? I used the name Coe ship 2 on the Spaceships page as a placeholder, but we'll probably need something better than that.

EDIT: Changed that name to what I believe this spaceship's code name would be.


Kind of a shame that this spaceship is so massive, but half a loaf is better than none. And more incentive to look into the smaller ships I guess.
Last edited by muzik on June 11th, 2016, 12:38 pm, edited 1 time in total.
2c/n spaceships project

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Re: Spaceship Discussion Thread

Postby simsim314 » June 11th, 2016, 12:35 pm

Wow, really impressive, Congrats!

How long did it took to find it?
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Re: Spaceship Discussion Thread

Postby drc » June 11th, 2016, 12:42 pm

Image
Seriously, though, we might be onto finding that minimum-period rake that was mentioned here:
The smallest possible period for a rake is believed to be 7, which could be achieved by a 3c/7 orthogonal backwards glider puffer.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
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Re: Spaceship Discussion Thread

Postby Scorbie » June 11th, 2016, 12:57 pm

This made my day. Congrats, really!!!
Best wishes to you, Scorbie
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Re: Spaceship Discussion Thread

Postby muzik » June 11th, 2016, 1:12 pm

This completely overshadowed my conduit forum game, but whatevs.

As futile and impossible as it sounds, is it possible to reduce the size of this ship? It has 703 cells in its least populous state, which is more than double than even the biggest cordership...


Speaking of spaceships, I've redone the Spaceship types section. I split the table into two bits to differentiate between the elementary and engineered spaceships, because it felt really weird to have such contrasting numbers on the same table. I want to know, would this monstrosity be considered an elementary spaceship? It is kind of composed of lots of smaller interacting pieces, but these aren't "engineerable reactions" like the 17c/45 one...
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Re: Spaceship Discussion Thread

Postby Sokwe » June 11th, 2016, 3:14 pm

Congratulations! We hadn't heard from you in a while, so I was hoping that when you came back you would have something big. You certainly didn't disappoint! One great thing about this ship is that it's capable of supporting a known period-28 wave (Edit: the p28 wave was found by Stephen Silver on Feb. 2, 2000):
x = 223, y = 139, rule = B3/S23
10bo7bo27bo7bo65bo7bo$8b2ob2o3b2ob2o23b2ob2o3b2ob2o61b2ob2o3b2ob2o$8b
2ob2o3b2ob2o23b2ob2o3b2ob2o61b2ob2o3b2ob2o73bo7bo$11b2o3b2o29b2o3b2o
67b2o3b2o74b2ob2o3b2ob2o$7bo5b3o5bo21bo5b3o5bo59bo5b3o5bo70b2ob2o3b2ob
2o$7bo13bo21bo13bo59bo13bo73b2o3b2o$8bo11bo23bo11bo61bo11bo70bo5b3o5bo
$9b2o7b2o25b2o7b2o63b2o7b2o71bo13bo$6bobobobo3bobobobo19bobobobo3bobob
obo57bobobobo3bobobobo69bo11bo$6bobob2o5b2obobo19bobob2o5b2obobo57bobo
b2o5b2obobo70b2o7b2o$6bobo11bobo19bobo11bobo57bobo11bobo67bobobobo3bob
obobo$200bobob2o5b2obobo$11bo5bo29bo5bo67bo5bo72bobo11bobo$10b2o5b2o
27b2o5b2o65b2o5b2o$8b2o9b2o23b2o9b2o61b2o9b2o74bo5bo$8bo3bo3bo3bo23bo
3bo3bo3bo61bo3bo3bo3bo73b2o5b2o$10bo2bobo2bo27bo2bobo2bo65bo2bobo2bo
73b2o9b2o$10bobo3bobo27bobo3bobo65bobo3bobo73bo3bo3bo3bo$9bo9bo25bo9bo
63bo9bo74bo2bobo2bo$7bo3bo5bo3bo21bo3bo5bo3bo59bo3bo5bo3bo72bobo3bobo$
6b4o9b4o19b4o9b4o57b4o9b4o70bo9bo$4b2obo2bo7bo2bob2o15b2obo2bo7bo2bob
2o53b2obo2bo7bo2bob2o66bo3bo5bo3bo$4b2o2b3o7b3o2b2o15b2o2b3o7b3o2b2o
53b2o2b3o7b3o2b2o65b4o9b4o$7bobo2bo3bo2bobo21bobo2bo3bo2bobo59bobo2bo
3bo2bobo66b2obo2bo7bo2bob2o$5bob3o2bo3bo2b3obo17bob3o2bo3bo2b3obo55bob
3o2bo3bo2b3obo64b2o2b3o7b3o2b2o$5bo4bo7bo4bo17bo4bo7bo4bo55bo4bo7bo4bo
67bobo2bo3bo2bobo$199bob3o2bo3bo2b3obo$6bo15bo19bo15bo57bo15bo66bo4bo
7bo4bo$6b2obo9bob2o19b2obo9bob2o57b2obo9bob2o$5bo3b2o7b2o3bo17bo3b2o7b
2o3bo55bo3b2o7b2o3bo66bo15bo$200b2obo9bob2o$5b2o4bo5bo4b2o17b2o4bo5bo
4b2o55b2o4bo5bo4b2o65bo3b2o7b2o3bo2$8b2ob2o3b2ob2o23b2ob2o3b2ob2o61b2o
b2o3b2ob2o68b2o4bo5bo4b2o$2bo5b2o3bobo3b2o5bo11bo5b2o3bobo3b2o5bo49bo
5b2o3bobo3b2o5bo$bob2o5bobo3bobo5b2obo9bob2o5bobo3bobo5b2obo47bob2o5bo
bo3bobo5b2obo64b2ob2o3b2ob2o$2o2bo3b2obo5bob2o3bo2b2o7b2o2bo3b2obo5bob
2o3bo2b2o45b2o2bo3b2obo5bob2o3bo2b2o57bo5b2o3bobo3b2o5bo$2bob2ob6o3b6o
b2obo11bob2ob6o3b6ob2obo49bob2ob6o3b6ob2obo58bob2o5bobo3bobo5b2obo$7bo
2bobo3bobo2bo21bo2bobo3bobo2bo59bo2bobo3bobo2bo62b2o2bo3b2obo5bob2o3bo
2b2o$4bobo2bo9bo2bobo15bobo2bo9bo2bobo53bobo2bo9bo2bobo61bob2ob6o3b6ob
2obo$2b3o3bo11bo3b3o11b3o3bo11bo3b3o49b3o3bo11bo3b3o64bo2bobo3bobo2bo$
2b3obobo11bobob3o11b3obobo11bobob3o49b3obobo11bobob3o61bobo2bo9bo2bobo
$3b3o17b3o13b3o17b3o51b3o17b3o60b3o3bo11bo3b3o$196b3obobo11bobob3o$4bo
19bo15bo19bo53bo19bo62b3o17b3o$2b2o21b2o11b2o21b2o49b2o21b2o$bobo21bob
o9bobo21bobo47bobo21bobo60bo19bo$b3o21b3o9b3o21b3o47b3o21b3o58b2o21b2o
$195bobo21bobo$b2o23b2o9b2o23b2o47b2o23b2o57b3o21b3o$b3o21b3o9b3o21b3o
47b3o21b3o$4bo4b3o5b3o4bo15bo4b3o5b3o4bo53bo4b3o5b3o4bo60b2o23b2o$9bo
2bo3bo2bo25bo2bo3bo2bo63bo2bo3bo2bo65b3o21b3o$2bobo4bo9bo4bobo11bobo4b
o9bo4bobo49bobo4bo9bo4bobo61bo4b3o5b3o4bo$3bo7b2o3b2o7bo13bo7b2o3b2o7b
o51bo7b2o3b2o7bo67bo2bo3bo2bo$6b5o7b5o19b5o7b5o57b5o7b5o63bobo4bo9bo4b
obo$5b4o11b4o17b4o11b4o55b4o11b4o63bo7b2o3b2o7bo$4b2o17b2o15b2o17b2o
53b2o17b2o65b5o7b5o$6bob2o9b2obo19bob2o9b2obo57bob2o9b2obo66b4o11b4o$
5bob2obo7bob2obo17bob2obo7bob2obo55bob2obo7bob2obo64b2o17b2o$7b5ob3ob
5o21b5ob3ob5o59b5ob3ob5o68bob2o9b2obo$2b3o2b2o2b2o3b2o2b2o2b3o11b3o2b
2o2b2o3b2o2b2o2b3o49b3o2b2o2b2o3b2o2b2o2b3o62bob2obo7bob2obo$4bo2b2o2b
2obob2o2b2o2bo15bo2b2o2b2obob2o2b2o2bo53bo2b2o2b2obob2o2b2o2bo66b5ob3o
b5o$3bo3b2o2b3ob3o2b2o3bo13bo3b2o2b3ob3o2b2o3bo51bo3b2o2b3ob3o2b2o3bo
60b3o2b2o2b2o3b2o2b2o2b3o$3bo5bobob3obobo5bo13bo5bobob3obobo5bo51bo5bo
bob3obobo5bo62bo2b2o2b2obob2o2b2o2bo$3bo3b5o5b5o3bo13bo3b5o5b5o3bo51bo
3b5o5b5o3bo61bo3b2o2b3ob3o2b2o3bo$4bo3b2o9b2o3bo15bo3b2o9b2o3bo53bo3b
2o9b2o3bo62bo5bobob3obobo5bo$11bo2bo2bo29bo2bo2bo67bo2bo2bo69bo3b5o5b
5o3bo$11b2o3b2o29b2o3b2o67b2o3b2o70bo3b2o9b2o3bo$13bobo33bobo71bobo79b
o2bo2bo$205b2o3b2o$8b3o7b3o23b3o7b3o61b3o7b3o76bobo$7bo3b2o3b2o3bo21bo
3b2o3b2o3bo59bo3b2o3b2o3bo$8bo11bo23bo11bo61bo11bo71b3o7b3o$8bo4bobo4b
o23bo4bobo4bo61bo4bobo4bo70bo3b2o3b2o3bo$7bobobo5bobobo21bobobo5bobobo
59bobobo5bobobo70bo11bo$7bo3bo5bo3bo21bo3bo5bo3bo59bo3bo5bo3bo70bo4bob
o4bo$7b2o3bo3bo3b2o21b2o3bo3bo3b2o59b2o3bo3bo3b2o69bobobo5bobobo$11bo
5bo29bo5bo67bo5bo73bo3bo5bo3bo$9bo9bo25bo9bo63bo9bo71b2o3bo3bo3b2o$9b
2o7b2o25b2o7b2o63b2o7b2o75bo5bo$10bo7bo27bo7bo65bo7bo74bo9bo$203b2o7b
2o$204bo7bo$9b3o5b3o25b3o5b3o63b3o5b3o$9b2o7b2o25b2o7b2o63b2o7b2o$8bo
3bo3bo3bo23bo3bo3bo3bo61bo3bo3bo3bo72b3o5b3o$9bo3bobo3bo25bo3bobo3bo
63bo3bobo3bo73b2o7b2o$13bobo33bobo71bobo76bo3bo3bo3bo$11bo5bo29bo5bo
67bo5bo75bo3bobo3bo$207bobo$11b3ob3o29b3ob3o67b3ob3o77bo5bo$11b2obob2o
29b2obob2o67b2obob2o$9bobo5bobo25bobo5bobo63bobo5bobo75b3ob3o$8bob2o5b
2obo23bob2o5b2obo61bob2o5b2obo74b2obob2o$8bo11bo23bo11bo61bo11bo72bobo
5bobo$7bo2b2o5b2o2bo21bo2b2o5b2o2bo59bo2b2o5b2o2bo70bob2o5b2obo$8b2o9b
2o23b2o9b2o61b2o9b2o71bo11bo$7bob2o7b2obo21bob2o7b2obo59bob2o7b2obo69b
o2b2o5b2o2bo$9b2o7b2o25b2o7b2o63b2o7b2o72b2o9b2o$6bo15bo19bo15bo57bo
15bo68bob2o7b2obo$6b2o3bo5bo3b2o19b2o3bo5bo3b2o57b2o3bo5bo3b2o70b2o7b
2o$6b3o2bo5bo2b3o19b3o2bo5bo2b3o57b3o2bo5bo2b3o67bo15bo$7bo13bo21bo13b
o59bo13bo68b2o3bo5bo3b2o$9b2ob2ob2ob2o25b2ob2ob2ob2o63b2ob2ob2ob2o70b
3o2bo5bo2b3o$10bob2ob2obo27bob2ob2obo65bob2ob2obo72bo13bo$9b2ob2ob2ob
2o25b2ob2ob2ob2o63b2ob2ob2ob2o73b2ob2ob2ob2o$10bo7bo27bo7bo65bo7bo75bo
b2ob2obo$10bobobobobo27bobobobobo65bobobobobo74b2ob2ob2ob2o$10bo7bo27b
o7bo65bo7bo75bo7bo$204bobobobobo$8bo4bobo4bo7bo7bo7bo4bobo4bo61bo4bobo
4bo7bo7bo7bo7bo41bo7bo$8bo3bo3bo3bo6b3o5b3o6bo3bo3bo3bo61bo3bo3bo3bo6b
3o5b3o5b3o5b3o$7b2obo7bob2o4bo2b2o3b2o2bo4b2obo7bob2o59b2obo7bob2o4bo
2b2o3b2o2bo3bo2b2o3b2o2bo5bo7bo7bo7bo7bo4bobo4bo$8bob2o5b2obo4b2o2b2o
3b2o2b2o4bob2o5b2obo61bob2o5b2obo4b2o2b2o3b2o2b2ob2o2b2o3b2o2b2o3b3o5b
3o5b3o5b3o6bo3bo3bo3bo$6bob3o7b3obo2b2o2b3ob3o2b2o2bob3o7b3obo57bob3o
7b3obo2b2o2b3ob3o2b2ob2o2b3ob3o2b2o2bo2b2o3b2o2bo3bo2b2o3b2o2bo4b2obo
7bob2o$5bo17bob3o9b3obo17bo55bo17bob3o9b3ob3o9b3ob2o2b2o3b2o2b2ob2o2b
2o3b2o2b2o4bob2o5b2obo$12bo3bo9b2o9b2o9bo3bo69bo3bo9b2o9b2o3b2o9b2o2b
2o2b3ob3o2b2ob2o2b3ob3o2b2o2bob3o7b3obo$11bobobobo29bobobobo67bobobobo
39b3o9b3ob3o9b3obo17bo$7b3o3bobo3b3o21b3o3bobo3b3o59b3o3bobo3b3o36b2o
9b2o3b2o9b2o9bo3bo$7b4obo3bob4o21b4obo3bob4o59b4obo3bob4o73bobobobo$9b
2o7b2o25b2o7b2o63b2o7b2o71b3o3bobo3b3o$7bob2o7b2obo21bob2o7b2obo59bob
2o7b2obo69b4obo3bob4o$6b2ob2o3bo3b2ob2o19b2ob2o3bo3b2ob2o57b2ob2o3bo3b
2ob2o70b2o7b2o$5b2o2b2o2bobo2b2o2b2o17b2o2b2o2bobo2b2o2b2o55b2o2b2o2bo
bo2b2o2b2o67bob2o7b2obo$8b3obo3bob3o23b3obo3bob3o61b3obo3bob3o69b2ob2o
3bo3b2ob2o$5b5o2bo3bo2b5o17b5o2bo3bo2b5o55b5o2bo3bo2b5o65b2o2b2o2bobo
2b2o2b2o$4bo7b2ob2o7bo15bo7b2ob2o7bo53bo7b2ob2o7bo67b3obo3bob3o$4bo3b
2o3bobo3b2o3bo15bo3b2o3bobo3b2o3bo53bo3b2o3bobo3b2o3bo64b5o2bo3bo2b5o$
4bobo2bo3bobo3bo2bobo15bobo2bo3bobo3bo2bobo53bobo2bo3bobo3bo2bobo63bo
7b2ob2o7bo$11b3ob3o29b3ob3o67b3ob3o70bo3b2o3bobo3b2o3bo$7b3ob3ob3ob3o
21b3ob3ob3ob3o59b3ob3ob3ob3o66bobo2bo3bobo3bo2bobo$13b3o33b3o71b3o79b
3ob3o$13b3o33b3o71b3o75b3ob3ob3ob3o$207b3o$11bo5bo29bo5bo67bo5bo79b3o$
11bobobobo29bobobobo67bobobobo$205bo5bo$205bobobobo!


I have a couple of questions about other projects of yours:

  • Are you still running the c/7 gutter search? If so, have you tried shrinking the width as you did in your c/6 width-19 search to get a result faster?
  • Earlier, you posted the c/4 ships you had found with fewer than 70 bits. I was wondering if you had kept any larger ships. If so, could you post them? They don't have to be organized or anything.
-Matthias Merzenich
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