Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
hkoenig
Posts: 258
Joined: June 20th, 2009, 11:40 am

Re: Spaceship Discussion Thread

Post by hkoenig » January 11th, 2020, 12:11 pm

Is it possible to do an asymmetrical search starting with a significant number of defined rows? I noticed this in the P8H3V0 | 3c/8 search results published the other day. The pattern on the right is the one on the left 8 gens later.

Code: Select all

x=29, y=18
21bo$20bobo$19bo3bo$2bo16bob3o$bobo19b3o$o3bo19b2o$ob3o17b2obo$4b3o15bo$5b
2o15bo4bo$3b2obo19b3o$3bo$3bo4bo18bo$7b3o17bo2$7b2o15bo$8bo15bo3bo$8bo16b
ob2o$25b2o!
I'd try it if I had the tools set up and available.

Or is this sort of start so common that it's a false lead not worth pursuing?

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Spaceship Discussion Thread

Post by AforAmpere » January 11th, 2020, 3:20 pm

3c/8 gutter width 12 finished:

Code: Select all

x = 266, y = 44, rule = B3/S23
$10bo3bo24bo5bo22bo7bo20bo9bo18bo11bo16bo13bo14bo15bo12bo17bo10bo19bo$
3b2o5b2ob2o5b2o16bobo3bobo20bobo5bobo18bob2o5b2obo16bobo9bobo14bobo11b
obo12bobo13bobo10bobo15bobo8bobo17bobo$2bob2o2b2obobob2o2b2obo14bo3bob
o3bo18bo3bo3bo3bo16b2o3bo3bo3b2o14bo3bo7bo3bo12b2ob2o9b2ob2o10bo3bo11b
o3bo8bo3bo13bo3bo6bo3bo15bo3bo$2bo2b3o3bobo3b3o2bo14b3obobob3o18b2o2bo
3bo2b2o16b2o3bo3bo3b2o14bo3b2o5b2o3bo14b4o7b4o12bob3o11b3obo8bob3o13b
3obo6bob3o15b3obo$2bobob2obobobobob2obobo12b3o9b3o15bo2b2o5b2o2bo15bo
3b2o3b2o3bo14b3ob2o5b2ob3o14bo2bo7bo2bo16b3o7b3o16b3o9b3o14b3o11b3o$3b
2obo4bobo4bob2o13b2o11b2o15bo3bo5bo3bo45bo13bo15bob2o7b2obo16b2ob2o3b
2ob2o17b2o9b2o16b2o11b2o$2bo2bo13bo2bo12bob2o7b2obo14b3ob2o5b2ob3o17bo
7bo19bo2bo5bo2bo15b2obo9bob2o19bo3bo19b2obo9bob2o12b2obo11bob2o$2b4o4b
o3bo4b4o15bo7bo18b2o11b2o11b9o5b9o12bo11bo14bo17bo12b2o13b2o13bo15bo
12bo17bo$b2ob2o3b2o3b2o3b2ob2o9bo4bo7bo4bo14bo2bo5bo2bo12bo2b3o3bo3bo
3b3o2bo13b3o5b3o14bobo2b2o7b2o2bobo10bo5b2o3b2o5bo12bo4bo5bo4bo12bo4bo
7bo4bo$o6bobo5bobo6bo7b3o15b3o12bo3bo5bo3bo10b2o5b3obobob3o5b2o11bo11b
o12b2ob2ob2obo3bob2ob2ob2o9b3o4bo3bo4b3o16b3o3b3o20b3o5b3o$2bo3bo11bo
3bo45bo7bo13b2obobobo2b2ob2o2bobobob2o9b2ob2o7b2ob2o10b3obo3b3ob3o3bob
3o9b2o4b2o3b2o4b2o15bo3bobo3bo$o6b2o7b2o6bo8b2o15b2o14b2o9b2o12b3obo2b
2o5b2o2bob3o15bo5bo14b2o3bobobo5bobobo3b2o8bobo3bo5bo3bobo12bo6bobo6bo
16b2o7b2o$5b3ob3ob3ob3o13bobo13bobo14b2obo5bob2o19b2o5b2o16bo5bo5bo5bo
8b3o2b3o2b2ob2o2b3o2b3o6bob2o4bobobobo4b2obo11bo2bobo3bobo2bo16bobo7bo
bo$33bo17bo15bobo5bobo15b2o15b2o15bobo5bobo20b2o5b2o14bo2bob2o2b2ob2o
2b2obo2bo44bo7bo$35b4o7b4o16b2o9b2o15b6o5b6o18bo5bo14b2o3b2o11b2o3b2o
7bo5bob2ob2obo5bo12b2ob2o5b2ob2o13b4o11b4o$31bob2o2bobo5bobo2b2obo40bo
bobo7bobobo12b3obo9bob3o13b2o11b2o47b3o5b3o14bobo2b2obo3bob2o2bobo$31b
o5bobo5bobo5bo14bo7bo20b2ob2ob2ob2o14b2obobob3ob3obobob2o13b2o9b2o18b
2o2bobo2b2o15bo17bo10bobo5bo3bo5bobo$31bo21bo9b6o7b6o11bo4bobo3bobo4bo
11b2o3bobo3bobo3b2o11b2o15b2o13b6o3b6o13bo3bo9bo3bo18bo3bo$37b3o5b3o
15bo4b2o5b2o4bo10b2o3bo9bo3b2o15b3o3b3o15bob2obo9bob2obo11bo15bo12bo3b
2o7b2o3bo10b3o15b3o$33bo3bo2bo3bo2bo3bo10bob4o2bo3bo2b4obo8bobo3b2o7b
2o3bobo6b2o5bob2o3b2obo5b2o12bo9bo15bo4bobo3bobo4bo10b2obobobo5bobobob
2o8bo2bo3bo7bo3bo2bo$33bobobo9bobobo9b3o3bo9bo3b3o7bob2ob4o5b4ob2obo
11b2o2bo5bo2b2o12b4obo9bob4o10bo5bo5bo5bo10b2obo2bobo3bobo2bob2o11bobo
bo7bobobo$33b2o3b2o5b2o3b2o11bo3bobo5bobo3bo10b3o2bo2bo3bo2bo2b3o7b3ob
2ob2o7b2ob2ob3o9b3o11b3o11b3obob2o5b2obob3o9bo3bo3b2ob2o3bo3bo9b2o3b2o
7b2o3b2o$32b2o3b3o5b3o3b2o8b3o4bo7bo4b3o8bo2bo2bob2ob2obo2bo2bo8bobob
2ob2o5b2ob2obobo13b2o7b2o14b3o2b2o7b2o2b3o10b2o2b2o7b2o2b2o10b3o3b2o5b
2o3b3o$31bo2bo2bo9bo2bo2bo11bo13bo17b2obo3bob2o13b2o5bobo3bobo5b2o14bo
7bo15bob2o2b3o3b3o2b2obo9b2o3b3o5b3o3b2o14bobo5bobo$32b4o2b2o5b2o2b4o
10bo17bo9b2o4b2o7b2o4b2o11bob2o2bobo2b2obo14b2o3bo5bo3b2o11bob2o4b2ob
2o4b2obo10b2o2b2o7b2o2b2o13bob2o7b2obo$34b2ob2ob2ob2ob2ob2o17b3o3b3o
14bob4o11b4obo10b3o3bo3bo3b3o11bo2bo5bobo5bo2bo8b2o2bo13bo2b2o10b2ob3o
5b3ob2o11bo2b3o2bo3bo2b3o2bo$32b2o5b3ob3o5b2o8bobo4bo2bobo2bo4bobo8bo
3bo3bo3bo3bo3bo11b2o4bo3bo4b2o10bo3bo3b3ob3o3bo3bo6bobo6b2o3b2o6bobo8b
o2bo2bo5bo2bo2bo13bo2b3o3b3o2bo$31bobo3bo2bo3bo2bo3bobo7bob2o6bobo6b2o
bo16b2ob2o17bo19bo8bo3bo3bo5bo3bo3bo7b2o2b2ob3o3b3ob2o2b2o8bo3bo2bo5bo
2bo3bo9b5o4bobo4b5o$30b2o6b2o5b2o6b2o8b2o4bobobobo4b2o14b5o3b5o12b2o5b
2o5b2o5b2o10bo2bo9bo2bo42b2obo11bob2o10bo4b2o7b2o4bo$30b2o5bo2bo3bo2bo
5b2o7b2ob2o2bobobobo2b2ob2o9bob2ob2obo3bob2ob2obo7b2ob3ob2o7b2ob3ob2o
6bo2bo2bo9bo2bo2bo39bobo2b2o5b2o2bobo10b2o6b2ob2o6b2o$40b2ob2o15b2o4bo
b2obobob2obo4b2o7b3o2bo9bo2b3o37b2obo6b2ob2o6bob2o40b2o11b2o12b2o2bo
11bo2b2o$31bobobo4b2ob2o4bobobo6b2o2b3o3bo3bo3b3o2b2o12bo2b2ob2o2bo42b
2obob3o2b2ob2o2b3obob2o36b2o2bo3bo5bo3bo2b2o$61bo5bo2bo3bo2bo5bo9bo2b
2obo5bob2o2bo41bob2o4bobo4b2obo40bo6b2o3b2o6bo$91bo5bo2b2ob2o2bo5bo39b
o4b2obobob2o4bo41bo2bobobo3bobobo2bo$155b2ob2o5b2ob2o40b2obobobo3bobo
3bobobob2o$152bobo3bo7bo3bobo37b3o3b2o9b2o3b3o$150b2o2bo2bobo5bobo2bo
2b2o!
Took about 6 hours total.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

mscibing
Posts: 105
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » January 20th, 2020, 9:28 pm

Another c/6 pushalong:

Code: Select all

x = 16, y = 64, rule = B3/S23
4bo$3b6o$3bo4bo$3b6o$4b3o$6bo$5b3o$4b2o3bo$3b2o2bo2bo$3bob2o4bo$4b5obo
$4b4o$6bob2o2$6bo2bo$7b2o$7bobo$7bob2o$3b2ob5o$3b2o3bobo$3bo2b5o$7bo$
7bo2bo$8bo$6bob2o$6bo$5bo$6bo3bo$6b2obo$9bo3$4bo6bo$3bobob2obobo$3b2o
2b2o2b2o$7b2o2$5b2o2b2o$5b2o2b2o$6b4o$6bo2bo$5bo4bo$5bo4bo$5bob2obo$6b
o2bo$6bo2bo2$o14bo$2o4bo2bo4b2o$o5b4o5bo$b2o4b2o4b2o$2bo10bo$obo10bobo
$b5o4b5o$3bo2b4o2bo$2bo4b2o4bo$6bo2bo$7b2o$4b2ob2ob2o2$3bo8bo$2b3o6b3o
$2bo2bo4bo2bo$b2o10b2o!
I mistoke this for a known pushalong as a pushalong with the same front is known. I believe this one is new.

Edit:
Yet another c/6 pushalong:

Code: Select all

x = 16, y = 107, rule = B3/S23
5bo$4bobo$7bo$4bo$6b2o$5b3o$12bo$8b6o$8b3o$10b2o$10bo$10bo$10bo$11b2o$
11b2o2$12b2o$14bo2$9b3ob2o$7bobo$6bobo$6bobo$6bobo$7b2ob2o$7b2o$6bo2b
4o$6bobo$8bo$6bobo$4b2o5bo$4b3ob3ob2o$3b2o4b2o$4b2o$4b3o2$4b3o$5b2o$6b
o$4b2obo$7bob2o$3bo2bobo2bo$3bo4bo2bo$9b2o$5b4obo$11bo$5b2o3bobo$8bobo
2bo$8b3obo$5bo2bo$5b3o$11b2o$11b2o$3b2obo$6bobo$4bobobob2o$4bobobob2o$
8bob2o$5b2o2bo$6bobo3b2o$7b2o2bobo$6b2o3b3o$4b2o3bo$4b6o4$5bo$4b3o$5bo
2b2o$5b2ob2o$8b2o$8bo3$4bo6bo$3bobob2obobo$3b2o2b2o2b2o$7b2o2$5b2o2b2o
$5b2o2b2o$6b4o$6bo2bo$5bo4bo$5bo4bo$5bob2obo$6bo2bo$6bo2bo2$o14bo$2o4b
o2bo4b2o$o5b4o5bo$b2o4b2o4b2o$2bo10bo$obo10bobo$b5o4b5o$3bo2b4o2bo$2bo
4b2o4bo$6bo2bo$7b2o$4b2ob2ob2o2$3bo8bo$2b3o6b3o$2bo2bo4bo2bo$b2o10b2o!

-- Andrew Wade

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » January 21st, 2020, 8:43 pm

mscibing wrote:
January 20th, 2020, 9:28 pm
Another c/6 pushalong...
Yet another c/6 pushalong:
I've added these to the collection. Thanks! Were all of these new pushalongs found using the same seed column? It seems like they must be, based on the position of the cell in the leading edge of each ship. Are you running multiple seedcolumns at once, or just one at a time?
-Matthias Merzenich

mscibing
Posts: 105
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » January 23rd, 2020, 9:34 pm

Yes, the pushalongs have been found using the same seed column. I'm running just one seedcolumn at a time. I ended up reducing the maxiumum width to 9 for 120 levels to exclude the repeating components and as result there may be width 12 spaceships missed for this seed column.

I tried stabilizing some of the partials and discovered that one could be stabilized by a ship in the jslife collection found by Tim Coe, and it could be decomposed into components one of which can form a near-vertical wave:

Code: Select all

x = 110, y = 206, rule = B3/S23
99bo3b2o$99bo2bob2o$98bo2bob3o$104b2o$103b2o$103b2o$101bo2bo$102bob4o$
103bob4o$109bo$101b2o5bo$100b3o$100b3o$102bo$100b3ob2o$100b2o2b2obo$
105bo$105bo2bo$106bobo$102b6o$100b2o2b2o2$100b2ob2o2$99b3ob2o$98bobo2b
o$102b2o$35bobo65b2o$35bo2bo63b2o$35bo2bo62b2o2b2o$99bobobo$37b3o59bob
o3b2o$38bob2obo$42bobo56b4obo$41bo61bo$41bob2o60b2o$40b2o63bo$40bo62bo
bo$101bo3b2o$42bo57bo6bo$42bo57bo6bo$41bo2bo57bobo$44bo55b2o2b2o$45bo
53bo$43bo62b2o$40b2ob3o59b3o$37b2obo63bob2o$37b2o2bo61b2o$38b2o$41bo
60b2o$37b2ob2o60b3o$39b4o57bobob2o$98b2o3b3o$34b2o2b2o2bobo54b2o3bo$
38b2o2b2o57b2o$35bo6bo59bobo$35bobo4bobo57bo2bo$38bo4b2o58b2o$35bobo$
40b3o57b3o$40bob2o56bob2o$39bo2bo56bo2bo$42bobo57bobo$42b2o58b2o3$40b
2o58b2o$41b2o58b2o2$41bo2bo56bo2bo$41bo2bo56bo2bo$42bobo57bobo3$42b3o
57b3o$42b3o57b3o$40b4o56b4o$35bo3b2o54bo3b2o$35bob2ob2o53bob2ob2o$35bo
2b2o55bo2b2o4$37b3o57b3o$38b2o3bo54b2o3bo$5b2ob2o28b2o3b3o52b2o3b3o$4b
4obo27b3o57b3o$3bo6bo26b3o57b3o$4bo4bo27b3o57b3o$9bo$6bobo28bob3o55bob
3o$7b2o29bob2o56bob2o$7bobo28b2o2bo55b2o2bo$10b4o26b2o58b2o$7bo6bo25b
4o56b4o$7bo4b2o25b2o3bo54b2o3bo$6bo3bo26bobo57bobo$5b2o33bo59bo$8bo28b
3o57b3o$5b2o3bo$6bo3b3o22bob3o55bob3o$10bobo22bob3o55bob3o$11b3o21b2o
58b2o$11bobo$7b2o3bo48b3o$6bo2b2o25b2o2b2o19b3o32b2o2b2o$5b2o2bo26b3ob
2o20b2o32b3ob2o$5b2ob2o26b4o23bob2o29b4o$8bo27bobob2o20bo5bo27bobob2o$
3b6o28bo2b2o21bo5bo27bo2b2o$8bo28bo27b2o3bo26bo$3bo3bo30bo3bo23b2obo
28bo3bo$8bo31bobo57bobo$7b2obo57bo$7bo2bo55bobo$4b2o2bobo29b3o57b3o$3b
o3b2o27b2o3b2o25bo27b2o3b2o$7b2ob2o25b2obo27b2o27b2obo$5bob2o27bo2bobo
27bo26bo2bobo$12bo22b5o29b3o23b5o$9bobo24b2o58b2o$10bo30bobo22bo4bo29b
obo$40bob3o19b3o4bo28bob3o$7b4o28bobo22bo3bobo28bobo$6b4ob2o25bo2bo24b
o31bo2bo$5b2o4b2o25bo24b5o30bo$6bo2b2o29b2o21bo2bo33b2o$5b2o2b2o26b3o
23b3o31b3o$4bo31b3o24b3o2b2o26b3o$4bo7bo21bo4bo23bo3b3o24bo4bo$9bob2o
21bo4bo23bo2bo27bo4bo$9bo51bo7bo$8b2o2bo25b2o22bob3o31b2o$38bobo21bobo
2b2obo27bobo$37bo2bo22bo3bo2bo26bo2bo$6b4o27bo29bo29bo$4bo4bo25b2o3bo
24b2o3bo24b2o3bo$4bo4bo25b2o2bo25b2o2bo25b2o2bo$4b2o3bo26bob2o26bob2o
26bob2o$7b2o28bo29bo29bo$7b3o27b3o27b3o27b3o$9bo$8b2o27bo29bo29bo$36bo
bo27bobo27bobo$6bo32bo29bo29bo$5b3o28bobo27bobo27bobo$4bo2bobo29bo29bo
29bo$3bo2bo2bo28b3o27b3o27b3o$8bo29b3o27b3o27b3o$4bo2bo$39bo29bo29bo$
6bob2o22bo13bo15bo13bo15bo13bo$6bo3bo20b2o2bo7bo2b2o13b2o2bo7bo2b2o13b
2o2bo7bo2b2o$7bo3bo18bo4bo7bo4bo11bo4bo7bo4bo11bo4bo7bo4bo$11bo18b3ob
2ob5ob2ob3o11b3ob2ob5ob2ob3o11b3ob2ob5ob2ob3o$4b2o2bo23bo13bo15bo13bo
15bo13bo$3bo2b3o2bo22b2obo3bob2o19b2obo3bob2o19b2obo3bob2o$4b2ob2obo
24bobo3bobo21bobo3bobo21bobo3bobo$10bo24bo3bo3bo21bo3bo3bo21bo3bo3bo$
37bobobo25bobobo25bobobo$8b3o26bo3bo25bo3bo25bo3bo$7b2o2bo26b3o27b3o
27b3o$7b4o28bo29bo29bo$11b3o24b3o27b3o27b3o$9bo2bo24b2ob2o25b2ob2o25b
2ob2o$10b3o24b2ob2o25b2ob2o25b2ob2o$10bo$9b2o25bo5bo23bo5bo23bo5bo$8bo
3bo22bobo3bobo21bobo3bobo21bobo3bobo$7bo4bo22bo2bobo2bo21bo2bobo2bo21b
o2bobo2bo$8bobo2bo21b2obobob2o21b2obobob2o21b2obobob2o$7bo23b3o4bobo4b
3o13b3o4bobo4b3o13b3o4bobo4b3o$38bobo27bobo27bobo$35bobo3bobo21bobo3bo
bo21bobo3bobo$4bo6bo$3bobob2obobo21b2o7b2o19b2o7b2o19b2o7b2o$3b2o2b2o
2b2o23bo5bo23bo5bo23bo5bo$7b2o25b2ob2ob2ob2o19b2ob2ob2ob2o19b2ob2ob2ob
2o2$5b2o2b2o23b2o7b2o19b2o7b2o19b2o7b2o$5b2o2b2o$6b4o27bo3bo25bo3bo25b
o3bo$6bo2bo22b3obobobobob3o15b3obobobobob3o15b3obobobobob3o$5bo4bo20bo
3bo2bobo2bo3bo13bo3bo2bobo2bo3bo13bo3bo2bobo2bo3bo$5bo4bo21bobo9bobo
15bobo9bobo15bobo9bobo$5bob2obo23bobo5bobo19bobo5bobo19bobo5bobo$6bo2b
o27bo3bo25bo3bo25bo3bo$6bo2bo28bobo27bobo27bobo$35b2obobob2o21b2obobob
2o21b2obobob2o$o14bo19b2obobob2o21b2obobob2o21b2obobob2o$2o4bo2bo4b2o
18b3obobob3o19b3obobob3o19b3obobob3o$o5b4o5bo18bo3bobo3bo19bo3bobo3bo
19bo3bobo3bo$b2o4b2o4b2o18b2o9b2o17b2o9b2o17b2o9b2o$2bo10bo18b3o9b3o
15b3o9b3o15b3o9b3o$obo10bobo17b2o2b2ob2o2b2o17b2o2b2ob2o2b2o17b2o2b2ob
2o2b2o$b5o4b5o21b2o3b2o23b2o3b2o23b2o3b2o$3bo2b4o2bo18bo3b2o5b2o3bo13b
o3b2o5b2o3bo13bo3b2o5b2o3bo$2bo4b2o4bo18bob3o5b3obo15bob3o5b3obo15bob
3o5b3obo$6bo2bo23bo11bo17bo11bo17bo11bo$7b2o24bo11bo17bo11bo17bo11bo$
4b2ob2ob2o21b3o7b3o17b3o7b3o17b3o7b3o$36bo2bo2bo23bo2bo2bo23bo2bo2bo$
3bo8bo19b3o3b3o3b3o15b3o3b3o3b3o15b3o3b3o3b3o$2b3o6b3o18b6o3b6o15b6o3b
6o15b6o3b6o$2bo2bo4bo2bo18bo4bobobo4bo15bo4bobobo4bo15bo4bobobo4bo$b2o
10b2o23bobo27bobo27bobo!
Edit: added another pushalong just discovered.
Edit: Alternate stabilization using the Paul Tooke ship/Hartmut Holzwart front end:

Code: Select all

x = 48, y = 108, rule = B3/S23
38b2o$35bobo$33b2obo3bo$35b5o3$37bo$36bobo$39bo2bo$39bo2b2o$39bo3bo$
35bo3bo$36bobo$36bo$37b2obo$36bo4bo$37bo3bo$42bo$41b2o$37b2o2b2o$37b2o
$36bo2bo$37b2o$35bo$36bobo$33b2o3bo$34b4o$bo$obo$3bo31bob4o$o33bo5bo$
2b2o30bo$b3o31bo4bo$8bo26b6o$4b6o26b2o2bo$4b3o33bo$6b2o32bo$6bo$6bo33b
o$6bo32bobo$7b2o26b4o2bo$7b2o28b3obo$34bo$8b2o24bo3b2o$10bo23bo$5bo34b
ob2o$3bob2o2b2o28bo2b2o$3bob2o31bobobo$2bo2bo31b3o$2b2o2bo31b3o$bo4bo
29bo2bo$bo3bo29bo2b2o$bo2b3obo26bo$b2ob3obo25bobobo$bo4bobo$b3obo31b2o
$2ob6o28b2o$bobo2b3o27b2obo$2bo2b2obo27b3o$6bo29bo$4bobo27bobo$7b3o27b
3o$4b2ob2o25b2ob2o$5bo29bo$6b2o28b2o$6bo29bo$6bo29bo$6b2o28b2o$7b2o28b
2o$7b2o28b2o$6bo2bo26bo2bo2$7bobo27bobo$10bo29bo3$6bo6bo22bo6bo$5bobob
2obobo20bobob2obobo$5b2o2b2o2b2o20b2o2b2o2b2o$9b2o28b2o2$7b2o2b2o24b2o
2b2o$7b2o2b2o24b2o2b2o$8b4o26b4o$8bo2bo26bo2bo$7bo4bo24bo4bo$7bo4bo24b
o4bo$7bob2obo24bob2obo$8bo2bo26bo2bo$8bo2bo26bo2bo2$2bo14bo14bo14bo$2b
2o4bo2bo4b2o14b2o4bo2bo4b2o$2bo5b4o5bo14bo5b4o5bo$3b2o4b2o4b2o16b2o4b
2o4b2o$4bo10bo18bo10bo$2bobo10bobo14bobo10bobo$3b5o4b5o16b5o4b5o$5bo2b
4o2bo20bo2b4o2bo$4bo4b2o4bo18bo4b2o4bo$8bo2bo26bo2bo$9b2o28b2o$6b2ob2o
b2o22b2ob2ob2o2$5bo8bo20bo8bo$4b3o6b3o18b3o6b3o$4bo2bo4bo2bo18bo2bo4bo
2bo$3b2o10b2o16b2o10b2o!
-- Andrew Wade

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » January 24th, 2020, 3:29 am

mscibing wrote:
January 23rd, 2020, 9:34 pm
I tried stabilizing some of the partials and discovered that one could be stabilized by a ship in the jslife collection found by Tim Coe, and it could be decomposed into components one of which can form a near-vertical wave
These are great! I take it you were just trying to stabilize them by hand. Here is one solution that uses a component found by Tim Coe:

Code: Select all

x = 18, y = 91, rule = B3/S23
2b2o$b3o$2bobo$3b2o$4b2o$6bo$3bo2bob3o$8b3o$9bo$6b2o$6bo$8bo2$7bobo$7b
o2bo$8bobo$10b2o$6bo2b2o$6bo3b2o$4b3o$3b2o$6b2o$2bobo$8bo$4b4o$o8bo$o
3b2o$bo3bo2b3o$8bo$b3o5b2o$b3o5b2o$2b2o$7bo$6b3o$5bo2bobo$4bo2bo2bo$9b
o$8bo$5bo2$6b3o$8bo$8b2o$8b3o$8b2o3$4bo9bo$3bobo3bo3bobo$3bo2b3ob3o2bo
2$7b5o2$6bo5bo$5b2o5b2o$4bo9bo$2bo2bo7bo2bo$3b3o7b3o$4bobo5bobo$5b2o5b
2o$5b2o5b2o$2b2o3bo3bo3b2o$bo15bo$2bobo9bobo$4b2o7b2o$4b2o7b2o$3b2o9b
2o$2bo13bo$2bobo9bobo$b2ob2o7b2ob2o$2bob2o7b2obo$4bo9bo2$b3o11b3o$b4o
9b4o$2b2o2bo5bo2b2o2$7b2ob2o$8bobo$5b2obobob2o$5b2obobob2o$5bo2bobo2bo
$7b2ob2o$7b2ob2o$5bobo3bobo2$2b2o11b2o$2b2ob2o5b2ob2o$b2o13b2o2$b3o11b
3o!
I tried some symmetric searches with qfind and found this solution:

Code: Select all

x = 19, y = 82, rule = B3/S23
2b2o$b3o$2bobo$3b2o$4b2o$6bo$3bo2bob3o$8b3o$9bo$6b2o$6bo$8bo2$7bobo$7b
o2bo$8bobo$10b2o$6bo2b2o$6bo3b2o$4b3o$3b2o$6b2o$2bobo$8bo$4b4o$o8bo$o
3b2o$bo3bo2b3o$8bo$b3o5b2o$b3o5b2o$2b2o$7bo$6b3o$5bo2bobo$4bo2bo2bo$9b
o$8bo$5bo2$6b3o$8bo$8b2o$8b3o$8b2o3$7b2ob2o$4b2obo3bob2o$7bo3bo$3bo2bo
5bo2bo$6bo5bo$3bobo2b3o2bobo$3bo11bo$8bobo$9bo2$7bobobo$7b5o$2b2o3bo3b
o3b2o$bobo11bobo$b3o3b2ob2o3b3o$5b2ob3ob2o$5b3o3b3o$6bo5bo3$6b3ob3o$5b
o2bobo2bo$4bo3bobo3bo$8bobo$4bo9bo$4b5ob5o$2b2o4b3o4b2o$b3obo3bo3bob3o
$o3bobo5bobo3bo$bo4bo5bo4bo$8b3o$4b2o7b2o$7bo3bo$6b2o3b2o$6b2o3b2o!
The connection between the pushalongs that you found is quite surprising. It allows some of these to be pushed by Hartmut Holzwart's small ship:

Code: Select all

x = 26, y = 62, rule = B3/S23
2b2o$b3o$2bobo$3b2o$4b2o$6bo$3bo2bob3o$8b3o$9bo$6b2o$6bo$8bo2$7bobo$7b
o2bo$8bobo$10b2o$6bo2b2o$6bo3b2o$4b3o$3b2o$6b2o$2bobo$8bo$4b4o$o8bo$o
3b2o$bo3bo2b3o$8bo$b3o5b2o$b3o5b2o$2b2o$7bo$6b3o$5bo2bobo$4bo2bo2bo$9b
o$8bo$5bo2$6b3o$8bo$8b2o$8b3o$8b2o3$9bo$8b3o2$5b3o10b3o$3obo7b2o7bob3o
$4bo3bo2bo2bo2bo3bo$4bo5bo4bo5bo$10b2o2b2o$7bo3bo2bo3bo$7bobo6bobo$8b
10o$10bo4bo$8bo8bo$7bo10bo$8bo8bo!
-Matthias Merzenich

mscibing
Posts: 105
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » February 9th, 2020, 11:46 am

Sokwe wrote:
January 24th, 2020, 3:29 am
I take it you were just trying to stabilize them by hand.
Yes. In the search results they show up as stabilized by the repeating components.

The component in the first column of the following table appears to be quite versatile, it shows up in the search results with a couple of different stabilizations by repeating components. I've arbitrarily picked one canonical stabilization:

Code: Select all

x = 601, y = 681, rule = B3/S23
#C  Asymmetric c6o pushalongs organized by initial component (rows)
#C  and final component (columns).
#C
#C  Pushalongs in the first column can be stabilized in many ways
#C  including by pushalongs in the first two rows.
#C  
#C  1. Josh Ball, 18 Aug 2013
#C  2. Andrew J. Wade, Jan - Feb 2020
#C  3. Matthias Merzenich, Jan 2020
#C
#C  Stabilizations are by ships found by:
#C  Tim Coe
#C  Hartmut Holzwart
#C  Paul Tooke
#C
#C  In addition to a backend found by:
#C  Matthias Merzenich
#C
#C And the pushalong found by:
#C Tim Coe
x = 501, y = 843, rule = B3/S23
o99bo49bo49bo49bo49bo49bo49bo49bo49bo5$5bobobo95bobobo95bobobo49bo2$9b
o99bo99bo49bo2$5bobobo95bobobo95bobobo49bo2$5bo42bo56bo99bo53bo$48b2o
3bo$5bobobo37b2ob2obo51bobobo95bobobo49bo$49b2o2bo4$49b3o$45bo3b2o$43b
3o3b2o$49b3o$49b3o$49b3o2$47b3obo$47b2obo$46bo2b2o$47b2o$45b4o$44bo3b
2o$49bobo$48bo$49b3o2$49b3obo$49b3obo$52b2o3$47b2o2b2o$47b2ob3o$49b4o
67b2ob2o$47b2obobo66b4obo$47b2o2bo66bo6bo$51bo67bo4bo$46bo3bo73bo$46bo
bo72bobo$122b2o$122bobo$46b3o76b4o$46b2o3b2o69bo6bo$48bob2o70bo4b2o$
47bobo2bo68bo3bo$49b5o66b2o$51b2o70bo$25bo19bobo72b2o3bo$21b6o17b3obo
72bo3b3o$21bo4bo20bobo75bobo$21b6o20bo2bo75b3o$23b3o24bo75bobo$47b2o
73b2o3bo$24bo24b3o69bo2b2o$24b2o24b3o67b2o2bo$25b2o2b2o18bo4bo65b2ob2o
$25b3ob2o18bo4bo68bo$25b3ob2o87b6o$25b2o22b2o72bo$22b3o23bobo67bo3bo$
23bob2o21bo2bo71bo$23b2o26bo70b2obo$23bobob2o19bo3b2o68bo2bo$28b2o19bo
2b2o65b2o2bobo$29bo19b2obo65bo3b2o$30bo20bo70b2ob2o$24b2o2b2o19b3o68bo
b2o$23bo2bo100bo$23bo2bo24bo72bobo$23b3o24bobo72bo$23bobo23bo$21b2obo
25bobo69b4o$20b2o3bo23bo71b4ob2o$20b5o23b3o69b2o4b2o$22b2o24b3o70bo2b
2o$25b2o93b2o2b2o$25b3o22b3o66bo$21b2o2bobo21b2o68bo7bo$21b2o24b2o4bo
70bob2o$21b2ob2obo20b3obo71bo$22bo2bob2o18b3o73b2o2bo$22bo4b2o17b2o$
26b3o16bo2bo$46bobob2o69b4o$48bo3bo66bo4bo$27bo18bobob2o67bo4bo$23b4ob
o16bo2b2o69b2o3bo$23bo4b2o16b3o73b2o$22bo3b2o15b2o2bo4b2o68b3o$24bo2bo
20bobo2bo70bo$20b3o20bobo2bo74b2o94bo$26bo17b2o2bo3bo165b6o$28b3o13b2o
4b2o69bo96bo4bo$26b2o17bo4bo69b3o95b6o$24bo2b4o18bo3bo65bo2bobo94b3o$
24bo3bo16b2o6b2o63bo2bo2bo96bo$27bo16b3o2bo3bo69bo96b3o$24bo20bob3o3bo
65bo2bo96b2o3bo$22b2ob2o18bo2bo2b2o165b2o2bo2bo$21b6o19b2o73bob2o93bob
2o4bo$22bo22bobo73bo3bo93b5obo$25bo19b2o75bo3bo92b4o$24b2o18bo81bo94bo
b2o$26bo17bo3bo70b2o2bo$26bo21b3o67bo2b3o2bo94bo2bo$22bo2bo18bo3b3o68b
2ob2obo96b2o$23bo20b2o4bo74bo96bobo44b3o$22b2obo196bob2o46bob3o$21bo4b
o23b2o71b3o92b2ob5o42bo3bo$21b2obobo23b2obo68b2o2bo91b2o3bobo42bo3bo$
21b2o2bo24bo2bo68b4o92bo2b5o$22b3o24b2obo73b3o93bo49bo$22b2o25b2o73bo
2bo94bo2bo44b2o$22b2o25b2o74b3o95bo46bo$23bobo24bobo72bo95bob2o46b3o$
124b2o95bo48bobobo$23bo2bo23bo2bo69bo3bo92bo50bob3o$24b2o25b2o69bo4bo
93bo3bo47bobo$25bo26bo70bobo2bo92b2obo48b2o$122bo101bo47bobo$25bo26bo
2$19bo6bo19bo6bo65bo6bo92bo6bo42bo6bo$18bobob2obobo17bobob2obobo63bobo
b2obobo90bobob2obobo40bobob2obobo$18b2o2b2o2b2o17b2o2b2o2b2o63b2o2b2o
2b2o90b2o2b2o2b2o40b2o2b2o2b2o$22b2o25b2o71b2o98b2o48b2o2$20b2o2b2o21b
2o2b2o67b2o2b2o94b2o2b2o44b2o2b2o$20b2o2b2o21b2o2b2o67b2o2b2o94b2o2b2o
44b2o2b2o$21b4o23b4o69b4o96b4o46b4o$21bo2bo23bo2bo69bo2bo96bo2bo46bo2b
o$20bo4bo21bo4bo67bo4bo94bo4bo44bo4bo$20bo4bo21bo4bo67bo4bo94bo4bo44bo
4bo$20bob2obo21bob2obo67bob2obo94bob2obo44bob2obo$21bo2bo23bo2bo69bo2b
o96bo2bo46bo2bo$21bo2bo23bo2bo69bo2bo96bo2bo46bo2bo2$15bo14bo11bo14bo
57bo14bo84bo14bo34bo14bo$15b2o4bo2bo4b2o11b2o4bo2bo4b2o57b2o4bo2bo4b2o
84b2o4bo2bo4b2o34b2o4bo2bo4b2o$15bo5b4o5bo11bo5b4o5bo57bo5b4o5bo84bo5b
4o5bo34bo5b4o5bo$16b2o4b2o4b2o13b2o4b2o4b2o59b2o4b2o4b2o86b2o4b2o4b2o
36b2o4b2o4b2o$17bo10bo15bo10bo61bo10bo88bo10bo38bo10bo$15bobo10bobo11b
obo10bobo57bobo10bobo84bobo10bobo34bobo10bobo$16b5o4b5o13b5o4b5o59b5o
4b5o86b5o4b5o36b5o4b5o$18bo2b4o2bo17bo2b4o2bo63bo2b4o2bo90bo2b4o2bo40b
o2b4o2bo$17bo4b2o4bo15bo4b2o4bo61bo4b2o4bo88bo4b2o4bo38bo4b2o4bo$21bo
2bo23bo2bo69bo2bo96bo2bo46bo2bo$22b2o25b2o71b2o98b2o48b2o$19b2ob2ob2o
19b2ob2ob2o65b2ob2ob2o92b2ob2ob2o42b2ob2ob2o2$18bo8bo17bo8bo63bo8bo90b
o8bo40bo8bo$17b3o6b3o15b3o6b3o61b3o6b3o88b3o6b3o38b3o6b3o$17bo2bo4bo2b
o15bo2bo4bo2bo61bo2bo4bo2bo88bo2bo4bo2bo38bo2bo4bo2bo$16b2o10b2o13b2o
10b2o59b2o10b2o86b2o10b2o36b2o10b2o8$o99bo49bo49bo49bo49bo49bo49bo49bo
49bo5$309bo45bobobo2$309bo49bo2$309bo45bobobo2$309bo45bo2$309bo45bobob
o77$372b5o$371bo2bo2bo$372bobob2o$319b5o49bo$318bo2bo2bo49bo$318b2obob
o50b2o$322bo49bob2o$321bo52bo$320b2o49bo2bo$320b2obo46b2obo$321bo48b4o
bo$322bobo45b2o4bo$323bo46b2o2b2o$369b2o3b2o$321b3o44bo$319b2ob2o47bo
2b2o$319b2obo48bo$318b2o2bo49bo$320bo49b2o3bo$319bo5bo43b2ob3o2bo$324b
3o42bobobo3bo$319b3o50b2o3bo$321b3o51b2o$322b2o49bo$322b5o45b5o$324bo
51bo$324bo46bo$324bo47bobo$323bo50bo3$319bo6bo42bo6bo$318bobob2obobo
40bobob2obobo$318b2o2b2o2b2o40b2o2b2o2b2o$322b2o48b2o2$320b2o2b2o44b2o
2b2o$320b2o2b2o44b2o2b2o$321b4o46b4o$321bo2bo46bo2bo$320bo4bo44bo4bo$
320bo4bo44bo4bo$320bob2obo44bob2obo$321bo2bo46bo2bo$321bo2bo46bo2bo2$
315bo14bo34bo14bo$315b2o4bo2bo4b2o34b2o4bo2bo4b2o$315bo5b4o5bo34bo5b4o
5bo$316b2o4b2o4b2o36b2o4b2o4b2o$317bo10bo38bo10bo$315bobo10bobo34bobo
10bobo$316b5o4b5o36b5o4b5o$318bo2b4o2bo40bo2b4o2bo$317bo4b2o4bo38bo4b
2o4bo$321bo2bo46bo2bo$322b2o48b2o$319b2ob2ob2o42b2ob2ob2o2$318bo8bo40b
o8bo$317b3o6b3o38b3o6b3o$317bo2bo4bo2bo38bo2bo4bo2bo$316b2o10b2o36b2o
10b2o18$o99bo49bo49bo49bo49bo49bo49bo49bo49bo5$5bobobo145bobobo245bobo
bo2$9bo149bo249bo2$5bobobo145bobobo245bobobo2$5bo149bo20b2o227bo$172b
3ob2o$5bobobo145bobobo14b4o227bobobo$176bo$171b2o$171bo4bo$175bo$171bo
3b2o$172b2obo$170b3o4bo$169bobo$168b2ob2o4bo$173bo3b2o$170bo3bo$170bo
3b2ob2o$169bob2ob4o$169bob4o2bo$172bobo2b2o$175b3o$171b2o$170bo2bo2b2o
$177bo$171b2o3bo$420bo$169bo3bo246b3o$170bobo246bob3o$170bo249bo3bo$
49bob3o119bo247bo$49b2o3bo115b5o246bo3bo$50bo118bob2o3bo245bo2bo$52b2o
115bobobo248b2o2bo$47b2o124b2obo243bo2bo$47b2o125bo2b2o240bo3bo$51bo
123b3o242b2obo$48bo2b2o123bo244bo4bo$46bo2b3o370bo2b3o$46bo2bo368b2o2b
o2bo$44b2o128b3o241b2o2b3o3bo$44b2ob2o4b2o118b2o2b2o244b2obo$45b5o3b2o
119b3o243bobo2bo2bo$49b4o119bo247b3o2bo$45b2o6b2o116bo248b3o3b2o$45bo
125b3o243b2o6b2o$171b2o244b3o5bobo$47b2obo3bo116b2o245b2o2bo4bo$47b3ob
4o116b2o245bo2b2obo$47b2o2bo117bobo247bo2bo3bo$47b2o3b2o115b3o251b2obo
$47b2o4bo115bo254bobo$169bobo253b3o$48bo121bo256bo$172bo250bo$45b3o
123b3o247bo2bo$47bo123b3o246bo2bo2b2o$46bo2b2o120b3obo245bo4b2o$46bo3b
o123bobo243b2o$45bo4bo124bo243b3o$47bob3o123bo246bo$48b4obo122b2o240bo
$49b2o3bo121b2o$51bo2bo$51b3o123b2o241b3o$179bo239b4o$51bo367bo$49b5o
120b3ob2o243bo$49bo3bo118bobo245bo2b2o$50b4o117bobo$51bo119bobo251bo$
47bobo121bobo249b5o$46bo2bo122b2ob2o249b2o$46bo125b2o252b2o$46bo2bo
121bo2b4o248b3o$171bobo$45bo127bo252bo$23b3o18b2obo123bobo252bo$22b2o
20b2obo121b2o5bo247bo2bo$20b2o4bo18bo123b3ob3ob2o$21b3obo20b2o120b2o4b
2o248b2o$20b3o25b2o119b2o250b4o$19b2o148b3o249b2o2bo$18bo2bo24bo374bo$
19bobob2o22bo3bo117b3o255bo$21bo3bo22b3obo117b2o251bo3bo$19bobob2o25b
3o118bo250b2obo2bo$18bo2b2o28bo117b2obo249b2o2bobo$19b3o29bobo118bob2o
247b2o$16b2o2bo4b2o25b2o114bo2bobo2bo245bo3b2o$21bobo2bo25bobo113bo4bo
2bo245bo$16bobo2bo32bo119b2o248bo$17b2o2bo3bo28bo115b4obo244bo2bo$17b
2o4b2o24b3o2b2o120bo243bo$18bo4bo146b2o3bobo241bo2bo$22bo3bo20b2o124bo
bo2bo241bo$18b2o6b2o19bo2bo122b3obo243bo2bo$17b3o2bo3bo19b3ob2o118bo2b
o249bobo$18bob3o3bo19bo3b2o118b3o249b2o2bo$18bo2bo2b2o19b3obo2bo123b2o
243b2ob2o$19b2o24b2obo127b2o242bo2b3o$18bobo24b5o3b2o113b2obo248b5obo$
18b2o25bo5bo119bobo247b2obobo$17bo30bo4bo115bobobob2o244b2o4bo$17bo3bo
23bo7bo115bobobob2o244bo4bo$21b3o21b2obo5bo118bob2o244b2o$17bo3b3o23bo
2bo2bo116b2o2bo247b2ob2o$17b2o4bo27bo119bobo3b2o244bobobo$50b2obo118b
2o2bobo244bo3bo$23b2o24bo4bo116b2o3b3o245bo$23b2obo22b2obobo114b2o3bo$
23bo2bo22b2o2bo115b6o249b3o$22b2obo24b3o371b3o$22b2o26b2o373b2o$22b2o
26b2o372bobo$23bobo25bobo116bo254b2o$169b3o248bo4b2o$23bo2bo24bo2bo
115bo2b2o244b2o3bo$24b2o26b2o116b2ob2o243bo5bo$25bo27bo119b2o244bobo$
173bo248b3o$25bo27bo369b2o2$19bo6bo20bo6bo114bo6bo242bo6bo$18bobob2obo
bo18bobob2obobo112bobob2obobo240bobob2obobo$18b2o2b2o2b2o18b2o2b2o2b2o
112b2o2b2o2b2o240b2o2b2o2b2o$22b2o26b2o120b2o248b2o2$20b2o2b2o22b2o2b
2o116b2o2b2o244b2o2b2o$20b2o2b2o22b2o2b2o116b2o2b2o244b2o2b2o$21b4o24b
4o118b4o246b4o$21bo2bo24bo2bo118bo2bo246bo2bo$20bo4bo22bo4bo116bo4bo
244bo4bo$20bo4bo22bo4bo116bo4bo244bo4bo$20bob2obo22bob2obo116bob2obo
244bob2obo$21bo2bo24bo2bo118bo2bo246bo2bo$21bo2bo24bo2bo118bo2bo246bo
2bo2$15bo14bo12bo14bo106bo14bo234bo14bo$15b2o4bo2bo4b2o12b2o4bo2bo4b2o
106b2o4bo2bo4b2o234b2o4bo2bo4b2o$15bo5b4o5bo12bo5b4o5bo106bo5b4o5bo
234bo5b4o5bo$16b2o4b2o4b2o14b2o4b2o4b2o108b2o4b2o4b2o236b2o4b2o4b2o$
17bo10bo16bo10bo110bo10bo238bo10bo$15bobo10bobo12bobo10bobo106bobo10bo
bo234bobo10bobo$16b5o4b5o14b5o4b5o108b5o4b5o236b5o4b5o$18bo2b4o2bo18bo
2b4o2bo112bo2b4o2bo240bo2b4o2bo$17bo4b2o4bo16bo4b2o4bo110bo4b2o4bo238b
o4b2o4bo$21bo2bo24bo2bo118bo2bo246bo2bo$22b2o26b2o120b2o248b2o$19b2ob
2ob2o20b2ob2ob2o114b2ob2ob2o242b2ob2ob2o2$18bo8bo18bo8bo112bo8bo240bo
8bo$17b3o6b3o16b3o6b3o110b3o6b3o238b3o6b3o$17bo2bo4bo2bo16bo2bo4bo2bo
110bo2bo4bo2bo238bo2bo4bo2bo$16b2o10b2o14b2o10b2o108b2o10b2o236b2o10b
2o8$o99bo49bo49bo49bo49bo49bo49bo49bo49bo5$5bobobo145bobobo295bobobo2$
9bo149bo299bo2$5bobobo145bobobo295bobobo2$5bo149bo299bo2$5bobobo145bob
obo295bobobo43$170bo$169bobo$172bo$169bo$171b2o$170b3o$177bo$173b6o$
173b3o$175b2o$175bo$175bo$175bo$176b2o$176b2o2$177b2o289b3o$179bo288b
3o$469b2o$174b3ob2o290bobob2o$172bobo294b2ob5o$171bobo296bo2bo2bo$171b
obo296b2o$171bobo297bo$172b2ob2o295b2o$172b2o298b2o$171bo2b4o295bo$18b
o152bobo297bobo$18b2o153bo296bo$18bo152bobo299bo$19b2o148b2o5bo293bobo
$20bo148b3ob3ob2o291bo$18bobo147b2o4b2o295bo$19b5ob2o142b2o298bo2bo$
21bo3b2o142b3o297bobo$21bo447bo$24bo144b3o298bo$22b2o146b2o$22b3o146bo
298b2o$23bo145b2obo296bo$23bobo146bob2o293b3o2bo$24b2o142bo2bobo2bo
293b2ob2o$24bobo141bo4bo2bo293bo2bo$26bo147b2o294bob2o$26bo143b4obo
294bo$21b3o2b2o148bo294bobo$170b2o3bobo289bob2o$19b2o152bobo2bo288bo3b
4o$19bo2bo150b3obo290bobo$18b3ob2o146bo2bo296b3o$18bo3b2o146b3o297b2ob
2o$17b3obo2bo151b2o292bo4bo$17b2obo155b2o293b2obo$17b5o3b2o141b2obo
299b3o$17bo5bo147bobo297b2o$20bo4bo143bobobob2o293bo3bo$17bo7bo143bobo
bob2o292b2ob4o$17b2obo5bo146bob2o293bo5bo$19bo2bo2bo144b2o2bo295bo2bo$
23bo147bobo3b2o295bo$22b2obo146b2o2bobo$21bo4bo144b2o3b3o292bobob2o$
21b2obobo142b2o3bo295b2ob2o$21b2o2bo143b6o295b2obobo$22b3o447b3o$22b2o
449b2o$22b2o448bo$23bobo144bo301bob2o$169b3o300bob2o$23bo2bo143bo2b2o
298b3o$24b2o144b2ob2o298b2o$25bo147b2o298b2o$173bo298bobo$25bo2$19bo6b
o142bo6bo292bo6bo$18bobob2obobo140bobob2obobo290bobob2obobo$18b2o2b2o
2b2o140b2o2b2o2b2o290b2o2b2o2b2o$22b2o148b2o298b2o2$20b2o2b2o144b2o2b
2o294b2o2b2o$20b2o2b2o144b2o2b2o294b2o2b2o$21b4o146b4o296b4o$21bo2bo
146bo2bo296bo2bo$20bo4bo144bo4bo294bo4bo$20bo4bo144bo4bo294bo4bo$20bob
2obo144bob2obo294bob2obo$21bo2bo146bo2bo296bo2bo$21bo2bo146bo2bo296bo
2bo2$15bo14bo134bo14bo284bo14bo$15b2o4bo2bo4b2o134b2o4bo2bo4b2o284b2o
4bo2bo4b2o$15bo5b4o5bo134bo5b4o5bo284bo5b4o5bo$16b2o4b2o4b2o136b2o4b2o
4b2o286b2o4b2o4b2o$17bo10bo138bo10bo288bo10bo$15bobo10bobo134bobo10bob
o284bobo10bobo$16b5o4b5o136b5o4b5o286b5o4b5o$18bo2b4o2bo140bo2b4o2bo
290bo2b4o2bo$17bo4b2o4bo138bo4b2o4bo288bo4b2o4bo$21bo2bo146bo2bo296bo
2bo$22b2o148b2o298b2o$19b2ob2ob2o142b2ob2ob2o292b2ob2ob2o2$18bo8bo140b
o8bo290bo8bo$17b3o6b3o138b3o6b3o288b3o6b3o$17bo2bo4bo2bo138bo2bo4bo2bo
288bo2bo4bo2bo$16b2o10b2o136b2o10b2o286b2o10b2o8$o99bo49bo49bo49bo49bo
49bo49bo49bo49bo35$5bobobo285bobobo2$9bo289bo2$5bobobo285bobobo2$5bo
293bo2$5bobobo285bobobo11$18bo29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo
29bo$18b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$18bo
29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$19b2o28b2o28b2o28b2o28b2o
28b2o28b2o28b2o28b2o48b2o28b2o28b2o$20bo29bo29bo29bo29bo29bo29bo29bo
29bo49bo29bo29bo$18bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bob
o47bobo27bobo27bobo$19b5ob2o22b5ob2o22b5ob2o22b5ob2o22b5ob2o22b5ob2o
22b5ob2o22b5ob2o22b5ob2o42b5ob2o22b5ob2o22b5ob2o$21bo3b2o24bo3b2o24bo
3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o44bo3b2o24bo3b2o
24bo3b2o$21bo29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$24bo29bo29bo
29bo29bo29bo29bo29bo29bo49bo29bo29bo$22b2o28b2o28b2o28b2o28b2o28b2o28b
2o28b2o28b2o48b2o28b2o28b2o$22b3o27b3o27b3o27b3o27b3o27b3o27b3o27b3o
27b3o47b3o27b3o27b3o$23bo29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$
23bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo47bobo27bobo27bo
bo$24b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$24bobo
27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo47bobo27bobo27bobo$26b
o29bo29bo29bo29bo29bo29bo29bo29bo49bo29bo29bo$26bo29bo29bo29bo29bo29bo
29bo29bo29bo49bo29bo29bo$21b3o2b2o23b3o2b2o23b3o2b2o23b3o2b2o23b3o2b2o
23b3o2b2o23b3o2b2o23b3o2b2o23b3o2b2o43b3o2b2o23b3o2b2o23b3o2b2o2$19b2o
28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$19bo2bo26bo2bo
26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo46bo2bo26bo2bo26bo2bo
$18b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3ob2o24b3o
b2o44b3ob2o24b3ob2o24b3ob2o$18bo3b2o24bo3b2o24bo3b2o24bo3b2o24bo3b2o
24bo3b2o24bo3b2o24bo3b2o24bo3b2o44bo3b2o24bo3b2o24bo3b2o$17b3obo2bo22b
3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b3obo2bo22b
3obo2bo42b3obo2bo22b3obo2bo22b3obo2bo$17b2obo26b2obo26b2obo26b2obo26b
2obo26b2obo26b2obo26b2obo26b2obo46b2obo26b2obo26b2obo$17b5o3b2o20b5o3b
2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o20b5o3b2o40b5o
3b2o20b5o3b2o20b5o3b2o$17bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo
5bo23bo5bo23bo5bo43bo5bo23bo5bo23bo5bo$20bo4bo24bo4bo24bo4bo24bo4bo24b
o4bo24bo4bo24bo4bo24bo4bo24bo4bo44bo4bo24bo4bo24bo4bo$17bo7bo21bo7bo
21bo7bo21bo7bo21bo7bo21bo7bo21bo7bo21bo7bo21bo7bo41bo7bo21bo7bo21bo7bo
$17b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo20b2obo5b
o20b2obo5bo20b2obo5bo40b2obo5bo20b2obo5bo20b2obo5bo$19bo2bo2bo23bo2bo
2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo2bo23bo2bo
2bo43bo2bo2bo23bo2bo2bo23bo2bo2bo$23bo29bo29bo29bo29bo29bo29bo29bo29bo
49bo29bo29bo$22b2obo26b2obo26b2obo26b2obo26b2obo26b2obo26b2obo26b2obo
26b2obo46b2obo26b2obo26b2obo$21bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4b
o24bo4bo24bo4bo24bo4bo44bo4bo24bo4bo24bo4bo$21b2obobo24b2obobo24b2obob
o24b2obobo24b2obobo24b2obobo24b2obobo24b2obobo24b2obobo44b2obobo24b2ob
obo24b2obobo$21b2o2bo25b2o2bo25b2o2bo25b2o2bo25b2o2bo25b2o2bo25b2o2bo
25b2o2bo25b2o2bo45b2o2bo25b2o2bo25b2o2bo$22b3o27b3o27b3o27b3o27b3o27b
3o27b3o27b3o27b3o47b3o27b3o27b3o$22b2o28b2o28b2o28b2o28b2o28b2o28b2o
28b2o28b2o48b2o28b2o28b2o$22b2o28b2o28b2o28b2o28b2o28b2o28b2o28b2o28b
2o48b2o28b2o28b2o$23bobo27bobo27bobo27bobo27bobo27bobo27bobo27bobo27bo
bo47bobo27bobo27bobo$108b3o5bo$23bo2bo26bo2bo26bo2bo20bob2o2bo2bo26bo
2bo26bo2bo26bo2bo26bo2bo26bo2bo46bo2bo26bo2bo26bo2bo$24b2o28b2o28b2o
21b4obo3bo27b2o28b2o28b2o28b2o28b2o48b2o28b2o28b2o$25bo29bo29bo23bo2bo
32bo29bo29bo29bo29bo49bo29bo29bo$109bo2b2o$25bo85b3o229bo3bo$113b2o29b
obo27bobo134bo7bo23bo3bo26bobo$24bo6bo78b2ob2o30bo29bo27bo3bo25bo3bo
19b2o13b2o35b2o9b2o19b3o3b3o25bo$23bobob2obobo17bo6bo25bo6bo18bobo33bo
29bo26bobobobo23bobobobo17bo2bo5bo5bo2bo34bobo2b3o2bobo18b2o7b2o24bo$
23b2o2b2o2b2o16bob6obo23bob6obo17b2o2bo23bo3b2o35b2o3bo18b2o2bo2bo21bo
2bo2b2o17bo4b4ob4o4bo35b3ob3ob3o19b3o5b3o16bo3b2o12b2o3bo$27b2o20b2o6b
2o23b2o6b2o15b2obob2o23bo2bob2o33b2obo2bo74bo2b2o5b2o2bo38bobo3bobo20b
2o7b2o16bo2bob2o10b2obo2bo$53b2o31b2o23bo24bo2bob3o33b3obo2bo20bo2bo
23bo2bo21b2o4bobobo4b2o36b2o7b2o18b2o4bo4b2o14bo2bob3o3b4o3b3obo2bo$
25b2o2b2o21b4o29b4o22bo30b2o33b2o26bobo25bobo24b3ob3ob3o39b2o7b2o18bo
4b3o4bo20b2o4b2o4b2o$25b2o2b2o20b2o2b2o27b2o2b2o20b2o29b3o33b3o25bo29b
o24b2o7b2o40bo7bo20bo3b3o3bo20bob3obo2bob3obo$26b4o77b3o31b2o35b2o26b
2o25b2o74bobo7bobo51bo3b4o3bo$26bo2bo78b3o30b2o35b2o27bo25bo74bo13bo
50bo3bo2bo3bo$25bo4bo20b2o2b2o27b2o2b2o118bo23bo30b5o41b3o7b3o21bo3bo
26b3ob2ob3o$25bo4bo20b2o2b2o27b2o2b2o49b3o37b3o82b3o45bobobobo24b5o$
25bob2obo19b2o4b2o25b2o4b2o16bo6bo23bobo39bobo22bobo25bobo28b3o45bobob
obo20bo11bo22b2o6b2o$26bo2bo21bob2obo27bob2obo16bobob2obobo21bo4b2o33b
2o4bo22bo27bo77bo5bo19b2o4bobo4b2o20bo10bo$26bo2bo21b2o2b2o27b2o2b2o
16b2o2b2o2b2o21bo2bo39bo2bo19b2obo27bob2o25b2ob2o40b2o2bobobobo2b2o14b
2o5bobo5b2o20b2o6b2o$110b2o26b2o41b2o21b2o29b2o26b2ob2o40b2o11b2o19bo
2bo2bo$20bo14bo169bo29bo26b3ob3o39b3o9b3o18b3o3b3o$20b2o4bo2bo4b2o10b
2o12b2o17b2o12b2o13b2o2b2o25b2o39b2o20bobo31bobo23b2o3b2o41bo9bo$20bo
5b4o5bo9b3o4bo2bo4b3o15b3o4bo2bo4b3o12b2o2b2o23bo4bo35bo4bo25b2o19b2o
28b2obo3bob2o39bo9bo$21b2o4b2o4b2o11bobo3bo2bo3bobo17bobo3bo2bo3bobo
14b4o23bo6bo33bo6bo18bobobobo21bobobobo21bo4bobo4bo37b2o9b2o$22bo10bo
13b2o3bo2bo3b2o19b2o3bo2bo3b2o15bo2bo22bo8bo31bo8bo23bo21bo28bobobobob
obo38bo11bo21b2ob2o$20bobo10bobo12b2o8b2o21b2o8b2o15bo4bo21b2ob4ob2o
31b2ob4ob2o19bo3bo21bo3bo21b2o2b2obobob2o2b2o34bobo9bobo18b2obobob2o$
21b5o4b5o15bo6bo25bo6bo17bo4bo92b4o21b4o28b2ob2o40bobo9bobo18b2obobob
2o$23bo2b4o2bo14bo2b8o2bo19bo2b8o2bo14bob2obo93b2o23b2o27b3o3b3o38b3o
9b3o18b2obobob2o$22bo4b2o4bo13bo3b2o2b2o3bo19bo3b2o2b2o3bo15bo2bo24b2o
2b2o35b2o2b2o23b3o21b3o26b3o5b3o39bo9bo19b3obobob3o$26bo2bo79bo2bo24b
2o2b2o35b2o2b2o76bo2bo3bo2bo68bo3b5o3bo$27b2o23bo2bo29bo2bo174bo3bo39b
2o13b2o$24b2ob2ob2o19bo4bo27bo4bo13bo14bo20b2o39b2o79bo7bo38b2obo7bob
2o14b2obo9bob2o$52b4o29b4o14b2o4bo2bo4b2o19b4o37b4o22b4o23b4o25b3o3b3o
41bo7bo17bo2bobob3obobo2bo$23bo8bo17bo6bo25bo6bo12bo5b4o5bo18b2o2b2o
35b2o2b2o20b6o21b6o72bo3bo3bo3bo15b4ob7ob4o$22b3o6b3o14b3o6b3o21b3o6b
3o11b2o4b2o4b2o19bo4bo35bo4bo19b8o19b8o76bobo22b2o9b2o$22bo2bo4bo2bo
14bobo6bobo21bobo6bobo12bo10bo22b2o39b2o20b2o6b2o17b2o6b2o19b2ob3o3b3o
b2o41bobo24b2o5b2o$21b2o10b2o15bo6bo25bo6bo12bobo10bobo18bo4bo35bo4bo
74b2obo2bobo2bob2o39bobobobo$47b2o10b2o19b2o10b2o10b5o4b5o19bo4bo35bo
4bo79bo3bo43b2obobob2o21b2obobob2o$106bo2b4o2bo16bo14bo25bo14bo15bo4bo
21bo4bo21b2ob2o5b2ob2o41bobo26bo3bo$105bo4b2o4bo14bobo4bo2bo4bobo23bob
o4bo2bo4bobo14b2o2b2o21b2o2b2o22bo11bo38bo3bobo3bo$109bo2bo21bo3b4o3bo
29bo3b4o3bo75b2o3b2o45bobo$110b2o19bo16bo23bo16bo71b2obobob2o41bobo3bo
bo$107b2ob2ob2o18b2o10b2o27b2o10b2o17b4o23b4o25b2obobob2o41b2o5b2o$
132b3o10b3o25b3o10b3o16bo2bo23bo2bo26bobobobo40b3o7b3o$106bo8bo21bo4bo
35bo4bo20bo4bo21bo4bo27bobo40b2o2b2o5b2o2b2o$105b3o6b3o18b2obo2bob2o
31b2obo2bob2o19b4o23b4o25b3o3b3o$105bo2bo4bo2bo18b2o2b2o2b2o31b2o2b2o
2b2o18b2o2b2o21b2o2b2o25bo5bo39bo13bo$104b2o10b2o17b2o6b2o31b2o6b2o19b
4o23b4o21b2o4bo3bo4b2o34bo13bo$136b2ob2ob2o33b2ob2ob2o21b2o25b2o25bob
3ob3obo37bo13bo$136b2ob2ob2o33b2ob2ob2o13b3o5b2o5b3o9b3o5b2o5b3o17bobo
bobobobo$198b3o4bo2bo4b3o9b3o4bo2bo4b3o17bo9bo$199b2o3bo4bo3b2o11b2o3b
o4bo3b2o16bo13bo$134b3o6b3o29b3o6b3o13bobo8bobo13bobo8bobo16bo3bo7bo3b
o$133bo3bo4bo3bo27bo3bo4bo3bo11bo14bo11bo14bo19bo7bo$136bo6bo33bo6bo
15bo2bobo2bobo2bo13bo2bobo2bobo2bo19bo4bo4bo$133b2o10b2o27b2o10b2o15bo
6bo19bo6bo20bobo3bobo3bobo$203bob4obo19bob4obo19b2o3bo5bo3b2o$203bo6bo
19bo6bo19b5obo3bob5o$203b2ob2ob2o19b2ob2ob2o22b2obobobob2o$204bob2obo
21bob2obo27b3o$265bo2$202b2o6b2o17b2o6b2o$200b2obo6bob2o13b2obo6bob2o$
200b4o6b4o13b4o6b4o$201bo10bo15bo10bo!
I've come up with a manual and non-rigorous method from removing repeating components, if the search doesn't find a spaceship I'll be able to say that there "probably" isn't a width 12 spaceship. I have two more seedcolumns to try first though.

Edit: one of the columns was just an alternate stabilization of the first column pushalongs so I've removed the superfluous column from the table and broken out the alternate stabilizations.
-- Andrew Wade

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » February 10th, 2020, 8:02 am

mscibing wrote:
February 9th, 2020, 11:46 am
if the search doesn't find a spaceship I'll be able to say that there "probably" isn't a width 12 spaceship. I have two more seedcolumns to try first though.
I'm somewhat surprised that you haven't found a spaceship yet. Am I right in thinking that the last seed columns generally represent a larger search area than the first seed columns?
-Matthias Merzenich

mscibing
Posts: 105
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » February 17th, 2020, 3:34 pm

Sokwe wrote:
February 10th, 2020, 8:02 am
Am I right in thinking that the last seed columns generally represent a larger search area than the first seed columns?
A seedcolumn within a couple of columns of the margin does appear to be a smaller search, but I'm not seeing a pattern beyond that.

I'm surprised I haven't found a spaceship too, but right now it's not looking very good. Updated table with a couple new pushalongs:

Code: Select all

x = 624, y = 1054, rule = B3/S23
#C  Asymmetric c6o pushalongs organized by initial component (rows)
#C  and final component (columns).
#C
#C  Pushalongs in the first two columns can be stabilized in many ways
#C  including by pushalongs in the first three rows.
#C  
#C  1. Josh Ball, 18 Aug 2013
#C  2. Andrew J. Wade, Jan - Feb 2020
#C  3. Matthias Merzenich, Jan 2020
#C
#C  Stabilizations are by ships found by:
#C  Tim Coe
#C  Hartmut Holzwart
#C  Paul Tooke
#C
#C  In addition to a backend found by:
#C  Matthias Merzenich
#C
#C And the pushalong found by:
#C Tim Coe
#C
#C A..E                                Front-ends
#C a..k                                Back-ends
#C (a,b)-A, (a,b)-B, (a,b)-C  Connections. These all use the same transition component.
#C a-stab, b-stab.                Alternate stabilizations.
#C
70bo103bo99bo95bo51bo52bo44bo2$70bo103bo47bo49bo97bo149bo2$22bobo45bob
o49bobo47bobo45bo3bo47bobo47bobo45bobo49bo52bo44bo3bo2$20bo3bo45bo3bo
45bo49bo3bo45bobo49bo47bo3bo45bo3bo47bo52bo44bobo2$22bobo45bobo49bobo
47bobo47bobo47bo49bobo45bo3bo47bo48bo3bo44bo3bo2$324bo148bo2$320bobo3$
15bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo49bo5$2bo17bobobo95bobobo
95bobobo49bo2$o3bo19bo99bo99bo49bo2$obobo15bobobo95bobobo95bobobo49bo
2$o3bo15bo99bo99bo53bo2$o3bo15bobobo95bobobo95bobobo49bo29$135b2ob2o$
134b4obo$133bo6bo$134bo4bo$139bo$136bobo$137b2o$137bobo$140b4o$137bo6b
o$137bo4b2o$136bo3bo$135b2o$138bo$40bo94b2o3bo$36b6o94bo3b3o$36bo4bo
98bobo$36b6o99b3o$38b3o100bobo$137b2o3bo$39bo96bo2b2o$39b2o94b2o2bo$
40b2o2b2o89b2ob2o$40b3ob2o92bo$40b3ob2o87b6o$40b2o96bo$37b3o93bo3bo$
38bob2o96bo$38b2o97b2obo$38bobob2o93bo2bo$43b2o89b2o2bobo$44bo88bo3b2o
$45bo91b2ob2o$39b2o2b2o90bob2o$38bo2bo100bo$38bo2bo97bobo$38b3o99bo$
38bobo$36b2obo97b4o$35b2o3bo95b4ob2o$35b5o95b2o4b2o$37b2o97bo2b2o$40b
2o93b2o2b2o$40b3o91bo$36b2o2bobo91bo7bo$36b2o101bob2o$36b2ob2obo96bo$
37bo2bob2o94b2o2bo$37bo4b2o$41b3o$136b4o$134bo4bo$42bo91bo4bo$38b4obo
90b2o3bo$38bo4b2o92b2o$37bo3b2o94b3o$39bo2bo96bo$35b3o100b2o94bo$41bo
191b6o$43b3o90bo96bo4bo$41b2o92b3o95b6o$39bo2b4o88bo2bobo94b3o$39bo3bo
89bo2bo2bo96bo$42bo95bo96b3o$39bo94bo2bo96b2o3bo$37b2ob2o191b2o2bo2bo$
36b6o94bob2o93bob2o4bo$37bo98bo3bo93b5obo$40bo96bo3bo92b4o$39b2o100bo
94bob2o$41bo92b2o2bo$41bo91bo2b3o2bo94bo2bo$37bo2bo93b2ob2obo96b2o$38b
o101bo96bobo44b3o$37b2obo196bob2o46bob3o$36bo4bo96b3o92b2ob5o42bo3bo$
36b2obobo95b2o2bo91b2o3bobo42bo3bo$36b2o2bo96b4o92bo2b5o$37b3o101b3o
93bo49bo$37b2o100bo2bo94bo2bo44b2o$37b2o101b3o95bo46bo$38bobo99bo95bob
2o46b3o$139b2o95bo48bobobo$38bo2bo96bo3bo92bo50bob3o$39b2o96bo4bo93bo
3bo47bobo$40bo97bobo2bo92b2obo48b2o$137bo101bo47bobo$40bo2$34bo6bo92bo
6bo92bo6bo42bo6bo$33bobob2obobo90bobob2obobo90bobob2obobo40bobob2obobo
$33b2o2b2o2b2o90b2o2b2o2b2o90b2o2b2o2b2o40b2o2b2o2b2o$37b2o98b2o98b2o
48b2o2$35b2o2b2o94b2o2b2o94b2o2b2o44b2o2b2o$35b2o2b2o94b2o2b2o94b2o2b
2o44b2o2b2o$36b4o96b4o96b4o46b4o$36bo2bo96bo2bo96bo2bo46bo2bo$35bo4bo
94bo4bo94bo4bo44bo4bo$35bo4bo94bo4bo94bo4bo44bo4bo$35bob2obo94bob2obo
94bob2obo44bob2obo$36bo2bo96bo2bo96bo2bo46bo2bo$36bo2bo96bo2bo96bo2bo
46bo2bo2$30bo14bo84bo14bo84bo14bo34bo14bo$30b2o4bo2bo4b2o84b2o4bo2bo4b
2o84b2o4bo2bo4b2o34b2o4bo2bo4b2o$30bo5b4o5bo84bo5b4o5bo84bo5b4o5bo34bo
5b4o5bo$31b2o4b2o4b2o86b2o4b2o4b2o86b2o4b2o4b2o36b2o4b2o4b2o$32bo10bo
88bo10bo88bo10bo38bo10bo$30bobo10bobo84bobo10bobo84bobo10bobo34bobo10b
obo$31b5o4b5o86b5o4b5o86b5o4b5o36b5o4b5o$33bo2b4o2bo90bo2b4o2bo90bo2b
4o2bo40bo2b4o2bo$32bo4b2o4bo88bo4b2o4bo88bo4b2o4bo38bo4b2o4bo$36bo2bo
96bo2bo96bo2bo46bo2bo$37b2o98b2o98b2o48b2o$34b2ob2ob2o92b2ob2ob2o92b2o
b2ob2o42b2ob2ob2o2$33bo8bo90bo8bo90bo8bo40bo8bo$32b3o6b3o88b3o6b3o88b
3o6b3o38b3o6b3o$32bo2bo4bo2bo88bo2bo4bo2bo88bo2bo4bo2bo38bo2bo4bo2bo$
31b2o10b2o86b2o10b2o86b2o10b2o36b2o10b2o8$15bo49bo49bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo5$obo321bo45bobobo2$o3bo319bo49bo2$obo321bo45bobob
o2$o3bo319bo45bo2$obo321bo45bobobo77$387b5o$386bo2bo2bo$387bobob2o$
334b5o49bo$333bo2bo2bo49bo$333b2obobo50b2o$337bo49bob2o$336bo52bo$335b
2o49bo2bo$335b2obo46b2obo$336bo48b4obo$337bobo45b2o4bo$338bo46b2o2b2o$
384b2o3b2o$336b3o44bo$334b2ob2o47bo2b2o$334b2obo48bo$333b2o2bo49bo$
335bo49b2o3bo$334bo5bo43b2ob3o2bo$339b3o42bobobo3bo$334b3o50b2o3bo$
336b3o51b2o$337b2o49bo$337b5o45b5o$339bo51bo$339bo46bo$339bo47bobo$
338bo50bo3$334bo6bo42bo6bo$333bobob2obobo40bobob2obobo$333b2o2b2o2b2o
40b2o2b2o2b2o$337b2o48b2o2$335b2o2b2o44b2o2b2o$335b2o2b2o44b2o2b2o$
336b4o46b4o$336bo2bo46bo2bo$335bo4bo44bo4bo$335bo4bo44bo4bo$335bob2obo
44bob2obo$336bo2bo46bo2bo$336bo2bo46bo2bo2$330bo14bo34bo14bo$330b2o4bo
2bo4b2o34b2o4bo2bo4b2o$330bo5b4o5bo34bo5b4o5bo$331b2o4b2o4b2o36b2o4b2o
4b2o$332bo10bo38bo10bo$330bobo10bobo34bobo10bobo$331b5o4b5o36b5o4b5o$
333bo2b4o2bo40bo2b4o2bo$332bo4b2o4bo38bo4b2o4bo$336bo2bo46bo2bo$337b2o
48b2o$334b2ob2ob2o42b2ob2ob2o2$333bo8bo40bo8bo$332b3o6b3o38b3o6b3o$
332bo2bo4bo2bo38bo2bo4bo2bo$331b2o10b2o36b2o10b2o18$15bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo5$2bobo15bobobo145bobobo2$o23bo149bo2$
o19bobobo145bobobo2$o19bo149bo20b2o$187b3ob2o$2bobo15bobobo145bobobo
14b4o$191bo$186b2o$186bo4bo$190bo$186bo3b2o$187b2obo$185b3o4bo$184bobo
$183b2ob2o4bo$188bo3b2o$185bo3bo$185bo3b2ob2o$184bob2ob4o$184bob4o2bo$
187bobo2b2o$190b3o$186b2o$185bo2bo2b2o$192bo$186b2o3bo2$184bo3bo$185bo
bo$185bo$36bob3o147bo$36b2o3bo143b5o$37bo146bob2o3bo$39b2o143bobobo$
34b2o152b2obo$34b2o153bo2b2o$38bo151b3o$35bo2b2o151bo$33bo2b3o$33bo2bo
$31b2o156b3o$31b2ob2o4b2o146b2o2b2o$32b5o3b2o147b3o$36b4o147bo$32b2o6b
2o144bo$32bo153b3o$186b2o$34b2obo3bo144b2o$34b3ob4o144b2o$34b2o2bo145b
obo$34b2o3b2o143b3o$34b2o4bo143bo$184bobo$35bo149bo$187bo$32b3o151b3o$
34bo151b3o$33bo2b2o148b3obo$33bo3bo151bobo$32bo4bo152bo$34bob3o151bo$
35b4obo150b2o$36b2o3bo149b2o$38bo2bo$38b3o151b2o$194bo$38bo$36b5o148b
3ob2o$36bo3bo146bobo$37b4o145bobo$38bo147bobo$34bobo149bobo$33bo2bo
150b2ob2o$33bo153b2o$33bo2bo149bo2b4o$186bobo$32bo155bo$31b2obo54b3o
94bobo$31b2obo53b2o94b2o5bo$32bo53b2o4bo91b3ob3ob2o$33b2o52b3obo91b2o
4b2o$35b2o49b3o95b2o$85b2o97b3o$33bo50bo2bo$34bo3bo46bobob2o93b3o$35b
3obo47bo3bo93b2o$37b3o45bobob2o95bo$38bo45bo2b2o95b2obo$38bobo44b3o99b
ob2o$39b2o41b2o2bo4b2o90bo2bobo2bo$39bobo45bobo2bo90bo4bo2bo$41bo40bob
o2bo101b2o$41bo41b2o2bo3bo93b4obo$36b3o2b2o40b2o4b2o100bo$84bo4bo95b2o
3bobo$34b2o52bo3bo95bobo2bo$34bo2bo46b2o6b2o94b3obo$33b3ob2o44b3o2bo3b
o92bo2bo$33bo3b2o45bob3o3bo92b3o$32b3obo2bo44bo2bo2b2o99b2o$32b2obo49b
2o104b2o$32b5o3b2o42bobo96b2obo$32bo5bo45b2o100bobo$35bo4bo42bo100bobo
bob2o$32bo7bo42bo3bo96bobobob2o$32b2obo5bo45b3o98bob2o$34bo2bo2bo42bo
3b3o95b2o2bo$38bo44b2o4bo96bobo3b2o$37b2obo146b2o2bobo$36bo4bo47b2o95b
2o3b3o$36b2obobo47b2obo91b2o3bo$36b2o2bo48bo2bo91b6o$37b3o48b2obo$37b
2o49b2o$37b2o49b2o$38bobo48bobo93bo$184b3o$38bo2bo47bo2bo92bo2b2o$39b
2o49b2o93b2ob2o$40bo50bo96b2o$188bo$40bo50bo2$34bo6bo43bo6bo91bo6bo$
33bobob2obobo41bobob2obobo89bobob2obobo$33b2o2b2o2b2o41b2o2b2o2b2o89b
2o2b2o2b2o$37b2o49b2o97b2o2$35b2o2b2o45b2o2b2o93b2o2b2o$35b2o2b2o45b2o
2b2o93b2o2b2o$36b4o47b4o95b4o$36bo2bo47bo2bo95bo2bo$35bo4bo45bo4bo93bo
4bo$35bo4bo45bo4bo93bo4bo$35bob2obo45bob2obo93bob2obo$36bo2bo47bo2bo
95bo2bo$36bo2bo47bo2bo95bo2bo2$30bo14bo35bo14bo83bo14bo$30b2o4bo2bo4b
2o35b2o4bo2bo4b2o83b2o4bo2bo4b2o$30bo5b4o5bo35bo5b4o5bo83bo5b4o5bo$31b
2o4b2o4b2o37b2o4b2o4b2o85b2o4b2o4b2o$32bo10bo39bo10bo87bo10bo$30bobo
10bobo35bobo10bobo83bobo10bobo$31b5o4b5o37b5o4b5o85b5o4b5o$33bo2b4o2bo
41bo2b4o2bo89bo2b4o2bo$32bo4b2o4bo39bo4b2o4bo87bo4b2o4bo$36bo2bo47bo2b
o95bo2bo$37b2o49b2o97b2o$34b2ob2ob2o43b2ob2ob2o91b2ob2ob2o2$33bo8bo41b
o8bo89bo8bo$32b3o6b3o39b3o6b3o87b3o6b3o$32bo2bo4bo2bo39bo2bo4bo2bo87bo
2bo4bo2bo$31b2o10b2o37b2o10b2o85b2o10b2o8$15bo49bo49bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo5$obo17bobobo145bobobo245bobobo2$o3bo19bo149bo249b
o2$o3bo15bobobo145bobobo245bobobo2$o3bo15bo149bo249bo2$obo17bobobo145b
obobo245bobobo43$185bo$184bobo$187bo$184bo$186b2o$185b3o$192bo$188b6o$
188b3o$190b2o$190bo$190bo$190bo$191b2o$191b2o2$192b2o239b3o$194bo238b
3o$434b2o$189b3ob2o240bobob2o$187bobo244b2ob5o$186bobo246bo2bo2bo$186b
obo246b2o$186bobo247bo$187b2ob2o245b2o$187b2o248b2o$186bo2b4o245bo$33b
o152bobo247bobo$33b2o153bo246bo$33bo152bobo249bo$34b2o148b2o5bo243bobo
$35bo148b3ob3ob2o241bo$33bobo147b2o4b2o245bo$34b5ob2o142b2o248bo2bo$
36bo3b2o142b3o247bobo$36bo397bo$39bo144b3o248bo$37b2o146b2o$37b3o146bo
248b2o$38bo145b2obo246bo$38bobo146bob2o243b3o2bo$39b2o142bo2bobo2bo
243b2ob2o$39bobo141bo4bo2bo243bo2bo$41bo147b2o244bob2o$41bo143b4obo
244bo$36b3o2b2o148bo244bobo$185b2o3bobo239bob2o$34b2o152bobo2bo238bo3b
4o$34bo2bo150b3obo240bobo$33b3ob2o146bo2bo246b3o$33bo3b2o146b3o247b2ob
2o$32b3obo2bo151b2o242bo4bo$32b2obo155b2o243b2obo$32b5o3b2o141b2obo
249b3o$32bo5bo147bobo247b2o$35bo4bo143bobobob2o243bo3bo$32bo7bo143bobo
bob2o242b2ob4o$32b2obo5bo146bob2o243bo5bo$34bo2bo2bo144b2o2bo245bo2bo$
38bo147bobo3b2o245bo$37b2obo146b2o2bobo$36bo4bo144b2o3b3o242bobob2o$
36b2obobo142b2o3bo245b2ob2o$36b2o2bo143b6o245b2obobo$37b3o397b3o$37b2o
399b2o$37b2o398bo$38bobo144bo251bob2o$184b3o250bob2o$38bo2bo143bo2b2o
248b3o$39b2o144b2ob2o248b2o$40bo147b2o248b2o$188bo248bobo$40bo2$34bo6b
o142bo6bo242bo6bo$33bobob2obobo140bobob2obobo240bobob2obobo$33b2o2b2o
2b2o140b2o2b2o2b2o240b2o2b2o2b2o$37b2o148b2o248b2o2$35b2o2b2o144b2o2b
2o244b2o2b2o$35b2o2b2o144b2o2b2o244b2o2b2o$36b4o146b4o246b4o$36bo2bo
146bo2bo246bo2bo$35bo4bo144bo4bo244bo4bo$35bo4bo144bo4bo244bo4bo$35bob
2obo144bob2obo244bob2obo$36bo2bo146bo2bo246bo2bo$36bo2bo146bo2bo246bo
2bo2$30bo14bo134bo14bo234bo14bo$30b2o4bo2bo4b2o134b2o4bo2bo4b2o234b2o
4bo2bo4b2o$30bo5b4o5bo134bo5b4o5bo234bo5b4o5bo$31b2o4b2o4b2o136b2o4b2o
4b2o236b2o4b2o4b2o$32bo10bo138bo10bo238bo10bo$30bobo10bobo134bobo10bob
o234bobo10bobo$31b5o4b5o136b5o4b5o236b5o4b5o$33bo2b4o2bo140bo2b4o2bo
240bo2b4o2bo$32bo4b2o4bo138bo4b2o4bo238bo4b2o4bo$36bo2bo146bo2bo246bo
2bo$37b2o148b2o248b2o$34b2ob2ob2o142b2ob2ob2o242b2ob2ob2o2$33bo8bo140b
o8bo240bo8bo$32b3o6b3o138b3o6b3o238b3o6b3o$32bo2bo4bo2bo138bo2bo4bo2bo
238bo2bo4bo2bo$31b2o10b2o136b2o10b2o236b2o10b2o8$15bo49bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo5$obobo465bobobo45bobobo2$o473bo49bo2$obo
467bobobo45bobobo2$o469bo49bo2$obobo465bobobo45bobobo25$536b2o$535b2ob
o$534bobo2bo$533bo4bo$532bo3b4o$531bob2ob2obo$532bo2bob2o$537bo$534b2o
bo$532bo$532bo5bo$532b4ob2o$538bo2$538b3o2$535bo4bo$534bobo3b2o$534bob
o3b2o$534b2o$533bobo$532bob2o$531b2obobo$531b2o3bob2o$533bo2bob2o$534b
ob2o$533bo2bo$532bo2bo$532bo$531b2ob2o3$531b2o$531b2ob2o$532b2o2bo$
534b2o2$533b2obo$532b5ob3o$531b2o3bobo$533bo$537bo$536b3ob3o$535bo3bob
2o$535bob2ob2o$535b3o2bo$534b2o3b2o$532b2o3b2obo$532bobo2bo2b2o$532b2o
4bobo$533b2o3b2o$535bob2o$536b2o$536b2o2$537b3o$538b2o$537bo$538bobo$
487b2o44bob2o4bo$486b2obo43b2ob3o2bo$485bobo2bo43b2o4bo$484bo4bo46b2o
2bo$483bo3b4o43bo2bobo$482bob2ob2obo43bo4bo$483bo2bob2o43bo4b2o$488bo
49b3o$485b2obo50b2o$486bo$485b2o44b2o13b2o$483bo2b2o42bo2bo5bo5bo2bo$
482b2o46bo4b4ob4o4bo$486b2o44bo2b2o5b2o2bo$486b2o43b2o4bobobo4b2o$486b
obo45b3ob3ob3o$485b4o45b2o7b2o$484bo2bobo$482b2o4bobo$484bo5bo46b5o$
482bobo2bo50b3o$483bo6b2o46b3o$489b2o$490b2o45b2ob2o$488bo48b2ob2o$
488bo47b3ob3o$486b4o2bo43b2o3b2o$486b2o2b2o42b2obo3bob2o$485bobo4bo40b
o4bobo4bo$485bob2o45bobobobobobo$531b2o2b2obobob2o2b2o$537b2ob2o$486b
2o2bo44b3o3b3o$534b3o5b3o$484bo6bo42bo2bo3bo2bo$483bobob2obobo44bo3bo$
483b2o2b2o2b2o42bo7bo$487b2o46b3o3b3o2$485b2o2b2o$485b2o2b2o41b2ob3o3b
3ob2o$486b4o42b2obo2bobo2bob2o$486bo2bo47bo3bo$485bo4bo41b2ob2o5b2ob2o
$485bo4bo42bo11bo$485bob2obo45b2o3b2o$486bo2bo45b2obobob2o$486bo2bo45b
2obobob2o$536bobobobo$480bo14bo42bobo$480b2o4bo2bo4b2o39b3o3b3o$480bo
5b4o5bo40bo5bo$481b2o4b2o4b2o36b2o4bo3bo4b2o$482bo10bo40bob3ob3obo$
480bobo10bobo38bobobobobobo$481b5o4b5o39bo9bo$483bo2b4o2bo39bo13bo$
482bo4b2o4bo37bo3bo7bo3bo$486bo2bo45bo7bo$487b2o45bo4bo4bo$484b2ob2ob
2o40bobo3bobo3bobo$531b2o3bo5bo3b2o$483bo8bo38b5obo3bob5o$482b3o6b3o
40b2obobobob2o$482bo2bo4bo2bo44b3o$481b2o10b2o44bo8$15bo49bo49bo49bo
49bo49bo49bo49bo49bo49bo49bo49bo25$22bo17bo7bo13bo39bo17bo7bo11bobo39b
o17bo7bo13bobo37bo17bo7bo32bo223bo24bo34bo2$20bo19bo9bo9bo3bo35bo19bo
9bo9bo3bo35bo19bo9bo9bo39bo19bo9bo11bo4bo13bo204bo4bo13bo24bo15bo4bo
13bo2$20bo7bobo9bobo7bo9bobobo35bo7bobo9bobo7bo9bobo37bo7bobo9bobo7bo
9bo39bo7bobo9bobo7bo9bo6bobo5bobo3bobo188bobo9bo6bobo5bobo3bobo22bobo
11bo6bobo5bobo3bobo2$20bo5bo3bo9bo3bo5bo3bobo3bo3bo35bo5bo3bo9bo3bo5bo
3bobo3bo3bo35bo5bo3bo9bo3bo5bo3bobo3bo39bo5bo3bo9bo3bo5bo3bobo5bo4bo5b
o3bo3bo3bo184bo3bo3bobo5bo4bo5bo3bo3bo3bo20bo3bo3bobo5bo4bo5bo3bo3bo3b
o2$22bo5bobo5bo3bobo5bo11bo3bo37bo5bobo5bo3bobo5bo11bobo39bo5bobo5bo3b
obo5bo13bobo37bo5bobo5bo3bobo5bo11bo6bo7bobo3bobo5bo182bobo9bo6bo7bobo
3bobo5bo16bobo11bo6bo7bobo3bobo5bo2$34bo79bo79bo79bo10$20bobobo75bobob
o75bobobo75bobobo125bobobo115bobobo55bobobo2$24bo79bo79bo79bo129bo119b
o59bo2$20bobobo75bobobo75bobobo75bobobo125bobobo115bobobo55bobobo2$20b
o79bo79bo79bo133bo115bo59bo2$20bobobo75bobobo75bobobo75bobobo125bobobo
115bobobo55bobobo12$30bo29bo49bo29bo49bo29bo49bo29bo29bo29bo39bo29bo
29bo59bo59b3o27b3o$30b2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o
38b2o28b2o28b2o58b2o60b2o28b2o$30bo29bo49bo29bo49bo29bo49bo29bo29bo29b
o39bo29bo29bo59bo58bo4b2o23bo4b2o$31b2o28b2o48b2o28b2o48b2o28b2o48b2o
28b2o28b2o28b2o38b2o28b2o28b2o58b2o57bob3o25bob3o$32bo29bo49bo29bo49bo
29bo49bo29bo29bo29bo39bo29bo29bo59bo60b3o27b3o$30bobo27bobo47bobo27bob
o47bobo27bobo47bobo27bobo27bobo27bobo37bobo27bobo27bobo57bobo62b2o28b
2o$31b5ob2o22b5ob2o42b5ob2o22b5ob2o42b5ob2o22b5ob2o42b5ob2o22b5ob2o22b
5ob2o22b5ob2o32b5ob2o22b5ob2o22b5ob2o52b5ob2o55bo2bo26bo2bo$33bo3b2o
24bo3b2o44bo3b2o24bo3b2o44bo3b2o24bo3b2o44bo3b2o24bo3b2o24bo3b2o24bo3b
2o34bo3b2o24bo3b2o24bo3b2o54bo3b2o52b2obobo24b2obobo$33bo29bo49bo29bo
49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo56bo3bo25bo3bo$36bo29bo49bo29b
o49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo54b2obobo24b2obobo$34b2o28b2o
48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o58b2o57b2o2bo
25b2o2bo$34b3o27b3o47b3o27b3o47b3o27b3o47b3o27b3o27b3o27b3o37b3o27b3o
27b3o57b3o57b3o27b3o$35bo29bo49bo29bo49bo29bo49bo29bo29bo29bo39bo29bo
29bo59bo53b2o4bo2b2o19b2o4bo2b2o$35bobo27bobo47bobo27bobo47bobo27bobo
47bobo27bobo27bobo27bobo37bobo27bobo27bobo57bobo51bo2bobo24bo2bobo$36b
2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o58b2o56b
o2bobo24bo2bobo$36bobo27bobo47bobo27bobo47bobo27bobo47bobo27bobo27bobo
27bobo37bobo27bobo27bobo57bobo51bo3bo2b2o21bo3bo2b2o$38bo29bo49bo29bo
49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo52b2o4b2o22b2o4b2o$38bo29bo49b
o29bo49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo53bo4bo24bo4bo$33b3o2b2o
23b3o2b2o43b3o2b2o23b3o2b2o43b3o2b2o23b3o2b2o43b3o2b2o23b3o2b2o23b3o2b
2o23b3o2b2o33b3o2b2o23b3o2b2o23b3o2b2o53b3o2b2o49bo3bo25bo3bo$578b2o6b
2o20b2o6b2o$31b2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b
2o28b2o58b2o56bo3bo2b3o20bo3bo2b3o$31bo2bo26bo2bo46bo2bo26bo2bo46bo2bo
26bo2bo46bo2bo26bo2bo26bo2bo26bo2bo36bo2bo26bo2bo26bo2bo56bo2bo54bo3b
3obo21bo3b3obo$30b3ob2o24b3ob2o44b3ob2o24b3ob2o44b3ob2o24b3ob2o44b3ob
2o24b3ob2o24b3ob2o24b3ob2o34b3ob2o24b3ob2o24b3ob2o54b3ob2o54b2o2bo2bo
22b2o2bo2bo$30bo3b2o24bo3b2o44bo3b2o24bo3b2o44bo3b2o24bo3b2o44bo3b2o
24bo3b2o24bo3b2o24bo3b2o34bo3b2o24bo3b2o24bo3b2o54bo3b2o59b2o28b2o$29b
3obo2bo22b3obo2bo42b3obo2bo22b3obo2bo42b3obo2bo22b3obo2bo42b3obo2bo22b
3obo2bo22b3obo2bo22b3obo2bo32b3obo2bo22b3obo2bo22b3obo2bo52b3obo2bo58b
obo27bobo$29b2obo26b2obo46b2obo26b2obo46b2obo26b2obo46b2obo26b2obo26b
2obo26b2obo36b2obo26b2obo26b2obo56b2obo63b2o28b2o$29b5o3b2o20b5o3b2o
40b5o3b2o20b5o3b2o40b5o3b2o20b5o3b2o40b5o3b2o20b5o3b2o20b5o3b2o20b5o3b
2o30b5o3b2o20b5o3b2o20b5o3b2o50b5o3b2o59bo29bo$29bo5bo23bo5bo43bo5bo
23bo5bo43bo5bo23bo5bo43bo5bo23bo5bo23bo5bo23bo5bo33bo5bo23bo5bo23bo5bo
53bo5bo58bo3bo25bo3bo$32bo4bo24bo4bo44bo4bo24bo4bo44bo4bo24bo4bo44bo4b
o24bo4bo24bo4bo24bo4bo34bo4bo24bo4bo24bo4bo54bo4bo54b3o27b3o$29bo7bo
21bo7bo41bo7bo21bo7bo41bo7bo21bo7bo41bo7bo21bo7bo21bo7bo21bo7bo31bo7bo
21bo7bo21bo7bo51bo7bo54b3o3bo23b3o3bo$29b2obo5bo20b2obo5bo40b2obo5bo
20b2obo5bo40b2obo5bo20b2obo5bo40b2obo5bo20b2obo5bo20b2obo5bo20b2obo5bo
30b2obo5bo20b2obo5bo20b2obo5bo50b2obo5bo53bo4b2o23bo4b2o$31bo2bo2bo23b
o2bo2bo43bo2bo2bo23bo2bo2bo43bo2bo2bo23bo2bo2bo43bo2bo2bo23bo2bo2bo23b
o2bo2bo23bo2bo2bo33bo2bo2bo23bo2bo2bo23bo2bo2bo53bo2bo2bo$35bo29bo49bo
29bo49bo29bo49bo29bo29bo29bo39bo29bo29bo59bo55b2o28b2o$34b2obo26b2obo
46b2obo26b2obo46b2obo26b2obo46b2obo26b2obo26b2obo26b2obo36b2obo26b2obo
26b2obo56b2obo51bob2o26bob2o$33bo4bo24bo4bo44bo4bo24bo4bo44bo4bo24bo4b
o44bo4bo24bo4bo24bo4bo24bo4bo34bo4bo24bo4bo24bo4bo54bo4bo50bo2bo26bo2b
o$33b2obobo24b2obobo44b2obobo24b2obobo44b2obobo24b2obobo44b2obobo24b2o
bobo24b2obobo24b2obobo34b2obobo24b2obobo24b2obobo54b2obobo51bob2o26bob
2o$33b2o2bo25b2o2bo45b2o2bo25b2o2bo45b2o2bo25b2o2bo45b2o2bo25b2o2bo25b
2o2bo25b2o2bo35b2o2bo25b2o2bo25b2o2bo55b2o2bo54b2o28b2o$34b3o27b3o47b
3o27b3o47b3o27b3o47b3o27b3o27b3o27b3o37b3o27b3o27b3o57b3o55b2o28bo$34b
2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o58b2o54b
obo28bo$34b2o28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o
28b2o58b2o53bo5b3o21b2obobo$35bobo27bobo47bobo27bobo47bobo27bobo47bobo
27bobo27bobo27bobo37bobo27bobo27bobo57bobo51bo2bo2b2obo22b3o$520b3o5bo
50bo3bob4o22b2obo$35bo2bo26bo2bo46bo2bo26bo2bo46bo2bo26bo2bo46bo2bo26b
o2bo26bo2bo26bo2bo36bo2bo26bo2bo26bo2bo50bob2o2bo2bo54bo2bo27b2o$36b2o
28b2o48b2o28b2o48b2o28b2o48b2o28b2o28b2o28b2o38b2o28b2o28b2o51b4obo3bo
53b2o2bo27b2o2bo$37bo29bo49bo29bo49bo29bo49bo29bo29bo29bo39bo29bo29bo
53bo2bo57b3o30bo2bo$521bo2b2o55b2o34bo$195bo33bo47bo157bo3bo83b3o55b2o
b2o32bo$36bobo27bobo126bo2bo27bo2bo173bo7bo23bo3bo26bobo56b2o57bobo31b
o$37bo29bo47bo3bo25bo3bo44bo3bo27bo3bo45bo6bo75b2o13b2o25b2o9b2o19b3o
3b3o25bo54b2ob2o55bo2b2o31bo$37bo29bo46bobobobo23bobobobo44bo2bo27bo2b
o45bobob2obobo17bo6bo25bo6bo15bo2bo5bo5bo2bo24bobo2b3o2bobo18b2o7b2o
24bo53bobo58b2obob2o$29bo3b2o35b2o3bo38b2o2bo2bo21bo2bo2b2o44b2o31b2o
45b2o2b2o2b2o16bob6obo23bob6obo14bo4b4ob4o4bo25b3ob3ob3o19b3o5b3o16bo
3b2o12b2o3bo38b2o2bo58bo30b2obo$29bo2bob2o33b2obo2bo120b2o29b2o50b2o
20b2o6b2o23b2o6b2o16bo2b2o5b2o2bo28bobo3bobo20b2o7b2o16bo2bob2o10b2obo
2bo36b2obob2o58bo33bo$28bo2bob3o33b3obo2bo40bo2bo23bo2bo48b6o21b6o76b
2o31b2o19b2o4bobobo4b2o26b2o7b2o18b2o4bo4b2o14bo2bob3o3b4o3b3obo2bo39b
o60b2o29bobo$34b2o33b2o46bobo25bobo48b4o25b4o48b2o2b2o21b4o29b4o21b3ob
3ob3o29b2o7b2o18bo4b3o4bo20b2o4b2o4b2o45bo62b3o$33b3o33b3o45bo29bo50b
2o25b2o50b2o2b2o20b2o2b2o27b2o2b2o20b2o7b2o30bo7bo20bo3b3o3bo20bob3obo
2bob3obo43b2o61b3o25b3o$33b2o35b2o46b2o25b2o47bobob2o25b2obobo47b4o
119bobo7bobo51bo3b4o3bo42b3o90b2o2bo$33b2o35b2o47bo25bo49b2o31b2o48bo
2bo118bo13bo50bo3bo2bo3bo43b3o88bo4bo$120bo23bo50b2o3b3o19b3o3b2o47bo
4bo20b2o2b2o27b2o2b2o23b5o31b3o7b3o21bo3bo26b3ob2ob3o105bo6bo26b3o$31b
3o37b3o122b2o2bobo19bobo2b2o48bo4bo20b2o2b2o27b2o2b2o24b3o35bobobobo
24b5o140bobob2obobo24bob3o$30bobo39bobo42bobo25bobo45b2ob2o2bobo19bobo
2b2ob2o45bob2obo19b2o4b2o25b2o4b2o23b3o35bobobobo20bo11bo22b2o6b2o43bo
6bo53b2o2b2o2b2o23bo5bo$29bo4b2o33b2o4bo42bo27bo46b2o2bo29bo2b2o46bo2b
o21bob2obo27bob2obo62bo5bo19b2o4bobo4b2o20bo10bo41bobob2obobo56b2o27bo
3b2o$29bo2bo39bo2bo39b2obo27bob2o44bobo5bo19bo5bobo47bo2bo21b2o2b2o27b
2o2b2o23b2ob2o30b2o2bobobobo2b2o14b2o5bobo5b2o20b2o6b2o42b2o2b2o2b2o
86bo2b2o$30b2o41b2o41b2o29b2o46bobo2b2o21b2o2bobo135b2ob2o30b2o11b2o
19bo2bo2bo81b2o58b2o2b2o27b3o$117bo29bo46bo3bobobo19bobobo3bo41bo14bo
76b3ob3o29b3o9b3o18b3o3b3o140b2o2b2o25b3o$31b2o39b2o40bobo31bobo43b2ob
o4bo19bo4bob2o41b2o4bo2bo4b2o10b2o12b2o17b2o12b2o17b2o3b2o31bo9bo107b
2o2b2o57b4o26b2o$29bo4bo35bo4bo45b2o19b2o48bo2b2o3bo23bo3b2o2bo39bo5b
4o5bo9b3o4bo2bo4b3o15b3o4bo2bo4b3o14b2obo3bob2o29bo9bo107b2o2b2o57bo2b
o25b2o$28bo6bo33bo6bo38bobobobo21bobobobo50bobo19bobo48b2o4b2o4b2o11bo
bo3bo2bo3bobo17bobo3bo2bo3bobo14bo4bobo4bo27b2o9b2o107b4o57bo4bo23b2o$
27bo8bo31bo8bo43bo21bo51b4o2bo21bo2b4o44bo10bo13b2o3bo2bo3b2o19b2o3bo
2bo3b2o16bobobobobobo28bo11bo21b2ob2o81bo2bo57bo4bo22bo2bo$27b2ob4ob2o
31b2ob4ob2o39bo3bo21bo3bo45bob3o29b3obo40bobo10bobo12b2o8b2o21b2o8b2o
14b2o2b2obobob2o2b2o24bobo9bobo18b2obobob2o78bo4bo56bob2obo23bobo$118b
4o21b4o49b2obo25bob2o44b5o4b5o15bo6bo25bo6bo22b2ob2o30bobo9bobo18b2obo
bob2o78bo4bo57bo2bo25b4o$119b2o23b2o52b2ob2o19b2ob2o48bo2b4o2bo14bo2b
8o2bo19bo2b8o2bo17b3o3b3o28b3o9b3o18b2obobob2o78bob2obo57bo2bo27bobo$
29b2o2b2o35b2o2b2o43b3o21b3o52b2o25b2o47bo4b2o4bo13bo3b2o2b2o3bo19bo3b
2o2b2o3bo16b3o5b3o29bo9bo19b3obobob3o78bo2bo92bo$29b2o2b2o35b2o2b2o
124bobo19bobo53bo2bo80bo2bo3bo2bo58bo3b5o3bo77bo2bo52bo14bo19b2ob2o$
202bo19bo56b2o23bo2bo29bo2bo24bo3bo29b2o13b2o161b2o4bo2bo4b2o18bob2o$
31b2o39b2o202b2ob2ob2o19bo4bo27bo4bo21bo7bo28b2obo7bob2o14b2obo9bob2o
69bo14bo46bo5b4o5bo18b2o4bo$30b4o37b4o42b4o23b4o49b3o25b3o76b4o29b4o
22b3o3b3o31bo7bo17bo2bobob3obobo2bo69b2o4bo2bo4b2o47b2o4b2o4b2o23b3o$
29b2o2b2o35b2o2b2o40b6o21b6o46b3o2b3o19b3o2b3o45bo8bo17bo6bo25bo6bo58b
o3bo3bo3bo15b4ob7ob4o69bo5b4o5bo48bo10bo22b3o$29bo4bo35bo4bo39b8o19b8o
46b2o3b2o19b2o3b2o45b3o6b3o14b3o6b3o21b3o6b3o61bobo22b2o9b2o72b2o4b2o
4b2o47bobo10bobo19b2ob4o$31b2o39b2o40b2o6b2o17b2o6b2o43bo2bo29bo2bo43b
o2bo4bo2bo14bobo6bobo21bobo6bobo15b2ob3o3b3ob2o31bobo24b2o5b2o75bo10bo
49b5o4b5o21bob2o$29bo4bo35bo4bo118bo2bo29bo2bo42b2o10b2o15bo6bo25bo6bo
17b2obo2bobo2bob2o29bobobobo104bobo10bobo49bo2b4o2bo24bobo$29bo4bo35bo
4bo118b3o31b3o68b2o10b2o19b2o10b2o19bo3bo33b2obobob2o21b2obobob2o74b5o
4b5o49bo4b2o4bo23bobo$24bo14bo25bo14bo35bo4bo21bo4bo211b2ob2o5b2ob2o
31bobo26bo3bo78bo2b4o2bo55bo2bo28bob3o$23bobo4bo2bo4bobo23bobo4bo2bo4b
obo34b2o2b2o21b2o2b2o212bo11bo28bo3bobo3bo104bo4b2o4bo55b2o29b3o$26bo
3b4o3bo29bo3b4o3bo285b2o3b2o35bobo112bo2bo56b2ob2ob2o27bo$23bo16bo23bo
16bo114b2o29b2o134b2obobob2o31bobo3bobo110b2o92bo$25b2o10b2o27b2o10b2o
37b4o23b4o47b2o31b2o133b2obobob2o31b2o5b2o107b2ob2ob2o53bo8bo26bo$24b
3o10b3o25b3o10b3o36bo2bo23bo2bo216bobobobo30b3o7b3o165b3o6b3o25bo$29bo
4bo35bo4bo40bo4bo21bo4bo44bo2bo31bo2bo134bobo30b2o2b2o5b2o2b2o102bo8bo
51bo2bo4bo2bo26bo$27b2obo2bob2o31b2obo2bob2o39b4o23b4o45bo2bo31bo2bo
131b3o3b3o145b3o6b3o49b2o10b2o22bob2o$27b2o2b2o2b2o31b2o2b2o2b2o38b2o
2b2o21b2o2b2o44bobo33bobo132bo5bo29bo13bo102bo2bo4bo2bo84bo$27b2o6b2o
31b2o6b2o39b4o23b4o211b2o4bo3bo4b2o24bo13bo101b2o10b2o80b5obo$28b2ob2o
b2o33b2ob2ob2o41b2o25b2o215bob3ob3obo27bo13bo194bobobobo$28b2ob2ob2o
33b2ob2ob2o33b3o5b2o5b3o9b3o5b2o5b3o207bobobobobobo237bo3bo$110b3o4bo
2bo4b3o9b3o4bo2bo4b3o38b8o23b8o130bo9bo240b3o$111b2o3bo4bo3b2o11b2o3bo
4bo3b2o38bob6obo21bob6obo127bo13bo$26b3o6b3o29b3o6b3o33bobo8bobo13bobo
8bobo39b3o4b3o21b3o4b3o126bo3bo7bo3bo235bo4bo$25bo3bo4bo3bo27bo3bo4bo
3bo31bo14bo11bo14bo41bo2bo27bo2bo133bo7bo238bo6bo$28bo6bo33bo6bo35bo2b
obo2bobo2bo13bo2bobo2bobo2bo41bo4bo25bo4bo131bo4bo4bo236bo8bo$25b2o10b
2o27b2o10b2o35bo6bo19bo6bo44b2o2b2o25b2o2b2o129bobo3bobo3bobo234b2ob4o
b2o$115bob4obo19bob4obo209b2o3bo5bo3b2o$115bo6bo19bo6bo209b5obo3bob5o$
115b2ob2ob2o19b2ob2ob2o44b2o2b2o25b2o2b2o131b2obobobob2o238b2o2b2o$
116bob2obo21bob2obo217b3o242b2o2b2o$193bo2b2o2bo23bo2b2o2bo135bo$196b
2o29b2o384b2o$114b2o6b2o17b2o6b2o43b6o25b6o381b4o$112b2obo6bob2o13b2ob
o6bob2o458b2o2b2o$112b4o6b4o13b4o6b4o458bo4bo$113bo10bo15bo10bo36bobo
12bobo13bobo12bobo376b2o$188bo2bo10bo2bo13bo2bo10bo2bo374bo4bo$188bo2b
o2b6o2bo2bo13bo2bo2b6o2bo2bo374bo4bo$606bo14bo$190b3o8b3o17b3o8b3o370b
obo4bo2bo4bobo$191bobob4obobo19bobob4obobo374bo3b4o3bo$193bo2b2o2bo23b
o2b2o2bo373bo16bo$193bo6bo23bo6bo375b2o10b2o$194b2o2b2o25b2o2b2o375b3o
10b3o$611bo4bo$194bo4bo25bo4bo378b2obo2bob2o$194b6o25b6o378b2o2b2o2b2o
$193b2ob2ob2o23b2ob2ob2o377b2o6b2o$191bob2o4b2obo19bob2o4b2obo376b2ob
2ob2o$191bob2o4b2obo19bob2o4b2obo376b2ob2ob2o$190b2o10b2o17b2o10b2o2$
608b3o6b3o$607bo3bo4bo3bo$610bo6bo$607b2o10b2o!
Edit: Rework the table to further de-compose the pushalongs into their constituent components.
-- Andrew Wade

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Spaceship Discussion Thread

Post by AforAmpere » February 18th, 2020, 1:27 am

3c/8 w13 v completed with no ships:

Code: Select all

x = 386, y = 41, rule = B3/S23
12b2o36bo4bo33bo6bo31bo8bo29bo10bo27bo12bo25bo14bo23bo16bo21bo18bo19bo
20bo$11bo2bo34b2o4b2o31bobo4bobo29bobo6bobo28b2o8b2o26bobo10bobo23bobo
12bobo21bobo14bobo19bobo16bobo17bobo18bobo$10b2o2b2o32b2o6b2o29bo3bo2b
o3bo27bo3bo4bo3bo23b3obobo6bobob3o21bo3bo8bo3bo21bo3bo10bo3bo19b2ob2o
12b2ob2o17bo3bo14bo3bo15bo3bo16bo3bo$8bobo4bobo32b6o32b2obo2bob2o28bo
3b2o2b2o3bo22bo2bo3b2o4b2o3bo2bo20bo3b2o6b2o3bo20b2o3bo10bo3b2o20b4o
10b4o19bob3o14b3obo15bob3o16b3obo$7b5o2b5o27b2o2bo4bo2b2o26bo4bo2bo4bo
26b2ob3o2b3ob2o23bo5b2o4b2o5bo21b3ob2o6b2ob3o20b2ob3o10b3ob2o20bo2bo
10bo2bo23b3o10b3o23b3o12b3o$10b2o2b2o30b2o2b2o2b2o2b2o24bobo4bo2bo4bob
o24b2o3b4o3b2o25bo3bobo2bobo3bo24bo14bo25bo12bo24bob2o10b2obo24b2o10b
2o25b2o12b2o$6bob2o2b2o2b2obo25bob2o2b4o2b2obo22b2o2bo2bo4bo2bo2b2o22b
o4b6o4bo22b3o3bob4obo3b3o23bo2bo6bo2bo22bo2bo14bo2bo19b2o2bo10bo2b2o
21b2obo10bob2o21b2obo12bob2o$5bo14bo22bob2ob2o6b2ob2obo19bo3bo12bo3bo
20b2o5b4o5b2o20bobo2b5o2b5o2bobo22bo12bo25bo14bo23bo16bo22bo16bo21bo
18bo$6b2o10b2o26bo12bo22bobo16bobo20b2o2b2obo2bob2o2b2o19b3o3bo10bo3b
3o22b3o6b3o23b3o16b3o21bo3bo6bo3bo23bo4bo6bo4bo21bo4bo8bo4bo$8bo8bo25b
ob2obo3b2o3bob2obo21b2o14b2o25bo3bo2bo3bo22b2o3bo2bo2b2o2bo2bo3b2o21bo
12bo25bo14bo22b3o3bo6bo3b3o25b3o4b3o29b3o6b3o$7bo2b2o2b2o2bo24bo4b3o4b
3o4bo20bobob3o6b3obobo19bo3bo2bo6bo2bo3bo17b2o5b2o6b2o5b2o19b2ob2o8b2o
b2o21b2ob2o10b2ob2o20bo3b2o8b2o3bo23bo12bo26b2ob8ob2o$6bob4o2b4obo22b
2o5bobo2bobo5b2o19bo5bo6bo5bo26bo6bo26bo18bo26bo6bo25bo20bo19bob2o12b
2obo23bo4bo2bo4bo27b2o2bo2bo2b2o$9bobo2bobo25bobo3bo3b2o3bo3bobo17bo4b
o3bo4bo3bo4bo18b2o5b6o5b2o19bo2bo3bo6bo3bo2bo19bo5bo6bo5bo19bo5bo8bo5b
o23bo10bo27bo4bo2bo4bo23bo4b3o4b3o4bo$10bo4bo26bo3bobo3b2o3bobo3bo16b
2o2b4obo6bob4o2b2o18bobo4b4o4bobo20bob2o3bob4obo3b2obo19bo3bobo6bobo3b
o19bobo16bobo25bo6bo33b6o26bobo4b2ob2ob2o4bobo$10bo4bo26bobo6bo2bo6bob
o16b2o6bo8bo6b2o18b3o3bo4bo3b3o20bo3b2obobo2bobob2o3bo24b2o6b2o23b2o3b
2o10b2o3b2o18b2ob2obo6bob2ob2o22b3o10b3o22bo18bo$3bo18bo18b2o5bob2o2b
2obo5b2o59bo2bo2bo4bo2bo2bo19b3o4b4o2b4o4b3o18bobo14bobo22b3o10b3o28bo
6bo27b4o4b2o4b4o23bobo4b2o4bobo$2b3o3bobo4bobo3b3o17bobobo2b2obo2bob2o
2bobobo17bo20bo21bo3bo6bo3bo22b2obob4o2b4obob2o19bobobobobo4bobobobobo
22bobo8bobo27b3o6b3o24bob2o12b2obo22bo5bo2bo5bo$2bo2bo14bo2bo58b2o2b2o
10b2o2b2o20bob3obob2obob3obo20b2o4bob2o2b2obo4b2o17bob2o3b2o6b2o3b2obo
20b5o6b5o26bobo6bobo23b2o5b3o2b3o5b2o26bo4bo$3bobob2o8b2obobo62b3o10b
3o25bob4o2b4obo23bo4bob6obo4bo17b3o5b2o6b2o5b3o17b2o2bobo6bobo2b2o20b
2obo12bob2o19bo2bo3b3o2b3o3bo2bo19b2o2bob2ob2ob2obo2b2o$2b2obo2bo8bo2b
ob2o57bob3o3b8o3b3obo17b3ob2ob2o4b2ob2ob3o24bob6obo23bobo6b6o6bobo16bo
bo4b2o6b2o4bobo17b2ob2ob2o6b2ob2ob2o18bo4bo2bo4bo2bo4bo18bo6bo6bo6bo$
2bo6b2o4b2o6bo58bo2bobo4b2o4bobo2bo18b2o5bobo2bobo5b2o19bobob2o2bo2bo
2b2obobo18bobo18bobo16bo2bo3b2o6b2o3bo2bo18b2o3b3o4b3o3b2o19b2o2bo3bob
2obo3bo2b2o17bo4b2ob8ob2o4bo$5b2o12b2o64bo14bo21bo5b2o6b2o5bo19bo3bo4b
2o4bo3bo22bo2bo8bo2bo20bo8bob2obo8bo18bo2b2o2b6o2b2o2bo22b2o5b2o5b2o
20bo6bo8bo6bo$2b2o4bo2bo2bo2bo4b2o64bob2o2b2obo24bo4bo2bo4bo2bo4bo21bo
14bo21b6obob4obob6o24bo2bo2bo2bo26bob3o8b3obo25bobo6bobo22bo3bobo10bob
o3bo$2b2o4bo8bo4b2o60b2ob4o4b4ob2o20bo3b2obo6bob2o3bo18b4o4b6o4b4o20bo
2b2o3b2o3b2o2bo21bo7bo2bo7bo21b2o6b2o6b2o23b3obo6bob3o20bo3bobo10bobo
3bo$2bo6b3o2b3o6bo59b2o2bo10bo2b2o25b3o4b3o23bo2bo4bo2b2o2bo4bo2bo21b
2o2b6o2b2o22bobo3b2ob4ob2o3bobo20bo5bob2obo5bo20b2o5bob4obo5b2o18bo2bo
5b4o5bo2bo$5bobo3bo2bo3bobo60b3o2b2obo6bob2o2b3o17bob2obo2b2o2b2o2bob
2obo16bo7bo8bo7bo16bobobobo8bobobobo18b3o5bo4bo5b3o17bobo3bobo6bobo3bo
bo17b2ob2o3bo4bo3b2ob2o19b2o2bobob4obobo2b2o$5b4o8b4o60b2o4bobo6bobo4b
2o16bo2b2obo10bob2o2bo23bo3b2o3bo24bob2ob2o2bo2bo2b2ob2obo18b2obob2o8b
2obob2o17bob2o2bo2b2o2b2o2bo2b2obo19bo5b2o2b2o5bo22bo6b4o6bo$5b3ob3o2b
3ob3o59b2o5bobo6bobo5b2o15bo6bo2bo2bo2bo6bo16b3o4bob2o2b2obo4b3o17bo3b
o12bo3bo21bobo4b2o4bobo22b3o4b2o2b2o4b3o18bobobob12obobobo20bobo3bo2bo
3bobo$10b2o2b2o64b3o4bob2o4b2obo4b3o15bo9bo2bo9bo20b2o4b4o4b2o22b3obo
3bo2bo3bob3o21b4o3b4o3b4o23bo4b2o2b2o4bo20bo6bobo4bobo6bo$9b2o4b2o65bo
b4o10b4obo17b2ob2o3bo6bo3b2ob2o18b3ob2obo4bob2ob3o21bob2obobo2bobob2ob
o21b3ob3ob4ob3ob3o18b5o5bo2bo5b5o20bo2bo8bo2bo23b2o14b2o$2b5o2b3o2b3o
2b5o59bobo3bobo2bobo3bobo19bobo2bobo6bobo2bobo18bo3b3o8b3o3bo19bo4b2o
6b2o4bo20b3o3b2o4b2o3b3o19bob2o3bo6bo3b2obo17bo5bo2bob2obo2bo5bo18bob
3o10b3obo$b2obo4bo6bo4bob2o56bo5bob2o4b2obo5bo17b2obo14bob2o18bob2o4bo
4bo4b2obo17b2o2bob2obo4bob2obo2b2o16bo3b2o2bo6bo2b2o3bo17bobo4bobo2bob
o4bobo18bo2b2obo2b4o2bob2o2bo21bob2ob6ob2obo$b2obob2o4b2o4b2obob2o60bo
5b4o5bo21b3obob3o4b3obob3o16b2o7b2o4b2o7b2o14bo2bo2b2o3b4o3b2o2bo2bo
15bo3b16o3bo17bo3b2o2b6o2b2o3bo58bo5bo8bo5bo$2o2bo2b2o2bo2bo2b2o2bo2b
2o55bob3ob4o4b4ob3obo15bo3b2o2b3o4b3o2b2o3bo99bobo10bobo19bo3bo16bo3bo
56bo5bo2b4o2bo5bo$bo2bobo12bobo2bo56b2o7bo4bo7b2o19bo2b2o8b2o2bo99bob
2o2b2ob2o2b2ob2o2b2obo15bo2bo4bo3b2o3bo4bo2bo56bo5bo2bo2bo2bo5bo$2b3ob
2o10b2ob3o96bo4b2o2b3o2b3o2b2o4bo136bo3bobo2bo2bo2bobo3bo57b3ob2obob2o
2b2obob2ob3o$2bobobobobo4bobobobobo96b2obo2bo2b2o4b2o2bo2bob2o142bo2bo
2bo2bo62bobobobobo8bobobobobo$2b3ob2o2b2o2b2o2b2ob3o98b2obo2b2ob4ob2o
2bob2o137b2obo7b2o7bob2o57bobo3bo8bo3bobo$b3o2b2o2b6o2b2o2b3o335bo3b2o
2b4o2b4o2b2o3bo$361bo2bo16bo2bo$361bobo2bo2bo6bo2bo2bobo!
Amazingly only took about 16 hours of CPU time. I am continually impressed by LSSS.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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Entity Valkyrie 2
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Re: Spaceship Discussion Thread

Post by Entity Valkyrie 2 » February 18th, 2020, 7:07 am

Sorry for my noobiness at spaceship searches (I don't use search programs other than apgsearch), by why are spaceship searches done by width?
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calcyman
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Re: Spaceship Discussion Thread

Post by calcyman » February 18th, 2020, 7:49 am

Entity Valkyrie 2 wrote:
February 18th, 2020, 7:07 am
Sorry for my noobiness at spaceship searches (I don't use search programs other than apgsearch), by why are spaceship searches done by width?
It means you can treat spaceships as lists of rows satisfying certain 'local rules' (in the case of the (2, 1)c/6 search, each of these rules only mentions 7 consecutive rows). That allows you to do a tree search (breadth-first, depth-first, or whatever). The reason to bound the width is it means that the number of distinct rows that can appear is bounded (by 2^width), so (provided you memoize rows to avoid getting into a loop) the search will complete after finite time.
What do you do with ill crystallographers? Take them to the mono-clinic!

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Re: Spaceship Discussion Thread

Post by Sokwe » February 18th, 2020, 7:01 pm

Entity Valkyrie 2 wrote:
February 18th, 2020, 7:07 am
Sorry for my noobiness at spaceship searches (I don't use search programs other than apgsearch), by why are spaceship searches done by width?
Calcyman gave one good reason, but there is another. It seems that these long, thin searches are generally the most effective. That is, you can get long partial results much faster and at much lower search widths when the direction of travel is parallel to the length of the ship.
-Matthias Merzenich

mscibing
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Re: Spaceship Discussion Thread

Post by mscibing » March 4th, 2020, 6:01 pm

The (1,0)c/6 search is still progressing. I've tried to extract a grammar for the pushalongs. To make it easier to identify how a pushalong can fit in this grammar, for each labelled component I've shown all the connections I know about with the component in a consistent phase. As a result there is some duplication of pushalongs in the diagram.

Code: Select all

#C  1. Paul Tooke, 23 Oct 2008
#C     The repeatable front end "A" had already
#C     been found by Hartmut Holzwart.
#C  2. Josh Ball, 18 Aug 2013
#C     Pushalongs with the "E" and "F" elementary components.
#C  3. This pushalong shares a substantial front-end with a
#      partial found by Aidan F. Pierce, 13 May 2017
#C  4. 5. 6. Stabilizations of "B" component found by
#C     Matthias Merzenich, 24th Jan 2020
#C     <https://www.conwaylife.com/forums/viewtopic.php?f=2&t=2031&start=925#p88048>
#C     Components used for stabilizing:
#C     4. Found by Tim Coe, Jun 2016
#C     5. Found by Matthias Merzenich, 24th Jan 2020
#C     6. Found by Hartmut Holzwart, 19 May 2009 (spaceship)
#C  7. Asymmetric front end "F" originally found by Josh Ball (see 2)
#C     Symmetric connection noticed by Tanner Jacobi, 29 Jun 2016
#C     Symmetric back end "J" by Tim Coe, Jun 2016
#C  8. Tim Coe, Apr 2016
#C
#C  Components:
#C
#C  A. Found by Hartmut Holzwart (see 1), including A-A connections.
#C
#C  E. Found in a pushalong by Josh Ball, 18 Aug 2013
#C
#C  F. Found in a pushalong by Josh Ball, 18 Aug 2013
#C
#C  J. Found by Tim Coe, Jun 2016
#C
#C  K. Tim Coe, Apr 2016, including K-K connections.
#C
#C  C. D. G. H. I. L. M. N. P. Andrew Wade Jan - Mar 2020
x = 1183, y = 923, rule = B3/S23
1115bo$1113b2obo$1112bobobo$1112bobo3bo$1110bo5b2o$1109bob3obo$1109bo
5b2o$1113bobo$1115bo$1111b2obo$1110b6o$1115b2o$1109bo$1090bobo17bo6bo$
1115bo2bo$1090bo3bo22bo$1113bo$1090bobo19bobo3b2o$1112bobo3b2o$1090bo
22bo$1111bo$1090bo19bob2o$1109bo2bo2bo$1110bo3bo2bo$1110bobobobobo$
1114b2o$1111b2o$1111b3o$992bo117bobo$992b3o114bo3bo$991bob3o113bo3bo$
992bo3bo$993bo115bo$993bo3bo111b2ob2o$994bo2bo113b2obo$994b2o2bo114bo$
992bo2bo$991bo3bo118bo2bo$992b2obo114b5o2bo$993bo4bo111bo6bo$994bo2b3o
110bobo2bo$990b2o2bo2bo$990b2o2b3o3bo114b3ob2o$995b2obo115b2o3b2o$992b
obo2bo2bo112b3obo$992b3o2bo114bo5bo$992b3o3b2o116b2o$989b2o6b2o111b3ob
o3bo$989b3o5bobo110bo5bo2bo$990b2o2bo4bo111bo4bobo$990bo2b2obo55bo57bo
bo4bo$991bo2bo3bo52bobo59bobo$995b2obo55bo59b2o$996bobo52bo58bo$997b3o
53b2o56bo3bo$999bo52b3o61bo$995bo63bo56b2o$993bo2bo58b6o56bo$992bo2bo
2b2o55b3o54bo2b4o$993bo4b2o57b2o52bo6bo$992b2o63bo53b2ob5o$991b3o63bo
55b2o2b2o$994bo62bo57b2o$508b2o480bo67b2o56b2o$507b3o548b2o51b3o3bo$
14bo493bobo99bobobo125bobobo225bo3bo141bo43bobobo$509b2o61bo419b3o64b
2o51b2o3bo52b3o$14bo495b2o60b2o40bo129bo225bo3bo16b4o66bo55b2o45bo5b3o
$512bo59bo418bo179b2o$14bo494bo2bob3o56b2o35bobobo125bobobo225bobobo
20bo34bo7bo17b3ob2o56bo41bobobo7bobob2o$514b3o57bo417bo2b2o57bobo60bo
53b2ob5o$14bo500bo56bobo35bo129bo229bo3bo55bobo3bobo14bobo60bo47bo7bo
2bo2bo$512b2o59b5ob2o416bo55bobo56b2obo56b2o$14bo497bo62bo3b2o29bobobo
125bobobo225bo3bo20b5o30bo3bo3bo14bobo56bo2b2o43bobobo8bo$514bo60bo
422b2o54b2ob2o52bo3bo58b2o$578bo419b2o30bo7bo15b2o56b3o59b2o$389bo56bo
66bobo60b2o420b3o52bo2b4o52b2o61bo$270bo54bo62bobo54bobo65bo2bo59b3o
271bobobo20bo154bo7bo14bobo117bobo$270b2o53b2o64bo56bo65bobo60bo295bo
3bo120bo56bo55bo60bo$270bo54bo62bo56bo70b2o59bobo270bo22bo3bo120bo54bo
bo54b2o5b2o56bo$271b2o53b2o62b2o55b2o63bo2b2o61b2o292bo5bo117bo2bo51b
2o5bo58bobo52bobo$272bo54bo61b3o54b3o63bo3b2o60bobo269bobo19bo4bo173b
3ob3ob2o53bo57bo$270bobo52bobo68bo56bo56b3o67bo296bo118b2o52b2o4b2o55b
2ob3o54bo$271b5ob2o47b5ob2o58b6o51b6o54b2o69bo269bo23bobo116b4o54b2o
59bobo4b2o50bo2bo$273bo3b2o49bo3b2o58b3o54b3o60b2o61b3o2b2o293bo117b2o
2bo53b3o58b2o2bo54bobo$273bo54bo65b2o55b2o55bobo339bo142bo118b2o6bo50b
o$276bo54bo62bo56bo62bo58b2o300bobo121bo51b3o62bo55bo$274b2o53b2o63bo
56bo58b4o59bo2bo298bob2o116bo3bo52b2o61b2obo$274b3o52b3o62bo56bo54bo8b
o56b3ob2o299b2o115b2obo2bo52bo60bo57b2o$275bo54bo64b2o55b2o52bo3b2o60b
o3b2o299b2o33bobobo77b2o2bobo50b2obo58bo57bo$275bobo52bobo62b2o55b2o
53bo3bo2b3o54b3obo2bo295bobo118b2o57bob2o53b2o2bo55b3o2bo$276b2o53b2o
181bo56b2obo299b3o33bo23b2o58bo3b2o50bo2bobo2bo51bob3o57b2ob2o$276bobo
52bobo62b2o55b2o52b3o5b2o54b5o3b2o352b2obo57bo55bo4bo2bo113bo2bo$278bo
54bo64bo56bo51b3o5b2o54bo5bo91bobobo17bo98bobobo78bo36bo3bobo15bobo2bo
58bo59b2o54b6o54bob2o$278bo54bo59bo56bo57b2o64bo4bo110b6o115b5o57bo57b
o4bo55bo2bo56b4obo58bobo53bo$273b3o2b2o48b3o2b2o56bob2o2b2o49bob2o2b2o
36bobo18bo57bo7bo89bo20bo4bo34bobobo55bo19bo2bo2bo56bo36bo5bo13bo3b4o
54bo65bo58bo55bobo$391bob2o53bob2o60b3o56b2obo5bo109b6o114b2obobo58bo
54bob2ob2obo53bo2bo57b2o3bobo52bo56bob2o$271b2o53b2o62bo2bo53bo2bo39bo
20bo2bobo56bo2bo2bo89bobo19b3o36bo20b5o34bobo21bo59bobo35bobobo13bo2bo
b2o55bo62bobo2bo51bo2bo53bo3b4o$271bo2bo51bo2bo60b2o2bo52b2o2bo58bo2bo
2bo60bo115bo56bo2bo2bo56bo63bo57bo57bo2bo58b3obo54b2o54bobo$270b3ob2o
49b3ob2o58bo4bo51bo4bo38bo24bo60b2obo89bo22b3o35bobo17b2obobo34bo21b2o
59bo2bo55b2obo59bobo54bo2bo116b3o$270bo3b2o49bo3b2o58bo3bo52bo3bo60bo
2bo60bo4bo110b2o3bo57bo57b2obo56b2o2bo56bo60b2o2bo53b3o117b2ob2o$192bo
76b3obo2bo47b3obo2bo57bo2b3obo49bo2b3obo36bo84b2obobo88bobobo16b2o2bo
2bo32bo22bo36bo22bo57bo60b2o59b2ob2o60b2o53b3o56bo4bo$213b4o52b2obo51b
2obo61b2ob3obo49b2ob3obo59bob2o58b2o2bo110bob2o4bo53b2o59bo2bo113bo2b
2o57bo2b3o60b2o54bo58b2obo$190bo3bo17b6o51b5o3b2o45b5o3b2o55bo4bobo49b
o4bobo38bobo18bo3bo58b3o112b5obo32bo21b2obo58bob2o53bo2bo54b2o61b5obo
51b2obo62bo56b3o$152b6o53b8o50bo5bo48bo5bo58b3obo52b3obo63bo3bo57b2o
113b4o58bo58bob4o55b2o58b2o58b2obobo54bobo58bobo56b2o$132bo18bo6bo31bo
bobo15b2o6b2o52bo4bo49bo4bo55b2ob6o48b2ob6o64bo57b2o115bob2o57bobo54bo
4b2o55b2o58b2o58b2o4bo51bobobob2o54bo58bo3bo$150bo8bo109bo7bo46bo7bo
56bobo2b3o49bobo2b3o57b2o2bo61bobo175bo56b2o2b2o52bo2bo59bobo57bo4bo
52bobobob2o53b2ob2o54b2ob4o$72bo57bo3bo15bo8bo30bo3bo74b2obo5bo45b2obo
5bo56bo2b2obo50bo2b2obo56bo2b3o2bo31bobo19b3o5bo112bo2bo115b2o3b2o52b
2obo57b4o57b2o60bob2o113bo5bo$91bo6bo54bo2bo55bo4bo53bo2bo2bo48bo2bo2b
o61bo56bo59b2ob2obo53bob2o2bo2bo113b2o57b3o63bo111bo2bobo57b2ob2o53b2o
2bo60bo54bo2bo$70bo3bo15bobob2obobo30bobobo17bo4bo32bo3bo17b2o2b2o57bo
54bo61bobo54bobo65bo32bo3bo16b4obo3bo29bobobo16b3o60bobo54b2ob2o56b2o
2bo57b2o53b2o4bobo57bobobo53bobo3b2o55bo59bo$90b2o2b2o2b2o52b2o2b2o
116b2obo51b2obo62b3o54b3o118bo2bo57bob3o55bob2o53b2obo61bo53bo2b4o54bo
5bo57bo3bo54b2o2bobo52b4o$70bobobo19b2o34bo3bo138bo4bo49bo4bo58b2ob2o
52b2ob2o61b3o32bo3bo18bo2b2o32bo19bo3bo55b2ob5o52b2o2bo60bo55bo57bobo
2bo61bo56b2o3b3o112bobob2o$213b4o56b2obobo49b2obobo59bo56bo63b2o2bo56b
3o52bo3bo55b2o3bobo54bo59bo3b2o54b2o4bo51bo6b2o112b2o3bo54b2o59b2ob2o$
70bo3bo17b2o2b2o32bo3bo78bo2bo56b2o2bo50b2o2bo61b2o55b2o61b4o32bo3bo
22b2o31bobo77bo2b5o53bo5bo52bo2b3ob2o53bo63b2o58b3o52b6o53bo2bo58b2obo
bo$92b2o2b2o54b6o54bo4bo56b3o52b3o62bo56bo66b3o53b2ob2o55bo59bo61b3o
51bo3bobobo54bo6bo56b2o57b3o113bo61b3o$70bo3bo18b4o57b2o57b4o57b2o53b
2o63bo56bo64bo2bo30bobo20bobo34bo21b2o60bo2bo53b3o56bo3b2o57b7obo53bo
61b2o115bo60b2o$93bo2bo55bo4bo54b2o2b2o56b2o53b2o63b2o55b2o64b3o53b2o
2bo54bo62bo57b3o55b2o67b2o53bo60bobo113bob2o58bo$92bo4bo55bo2bo56b4o
58bobo52bobo62b2o55b2o63bo53b2obob2o32bobobo18b3o57bob2o57b2o58bo118b
4o2bo57b2o53bo58bo2bo59bob2o$92bo4bo55b4o57b2o44bobo47bobo57bobo22b2o
33bobo19b2o62b2o57bo56bobobo56bo60b5o52b5o63bo53b2o2b2o53bo4b2o52b3o
120bob2o$92bob2obo116b2o59bo2bo51bo2bo60bo2bo53bo2bo60bo3bo55bo57bob3o
54bo63bo54bo66b3o51bobo4bo51b2o3bo55bo2b2o53b2obo61b3o$93bo2bo116bo2bo
43bo3bo11b2o32bo3bo16b2o37bo3bo55bo3bo79bo4bo54b2o59bobo55bo3bo58bo59b
o64bo50bob2o54bo5bo55b2ob2o55b3o60b2o$93bo2bo56b4o55bo4bo59bo54bo62bob
o54bobo60bobo2bo50b3o61b2o56b2obo59bo56bobo61b3o111bobo61b2o56b2o60b2o
$153b4o103bobo47bobo57bobo21bo35bobo22bo58bo57b3o59bobo59bo58bo57bo63b
2o115b3o58bo57bobo58bobo$152bob2obo119bo54bo600b2o2bo57b2o$260bo3bo45b
o3bo55bo3bo55bo3bo$2bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo33bo18bo
6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo
23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo28bo6bo23bo
28bo6bo23bo28bo6bo23bo28bo6bo$30bobob2obobo50bobob2obobo50bobob2obobo
50bobob2obobo40bobo7bobob2obobo30bobo17bobob2obobo30bobo17bobob2obobo
30bobo17bobob2obobo50bobob2obobo50bobob2obobo50bobob2obobo50bobob2obob
o50bobob2obobo50bobob2obobo50bobob2obobo50bobob2obobo50bobob2obobo50bo
bob2obobo50bobob2obobo50bobob2obobo$o3bo25b2o2b2o2b2o20bo3bo25b2o2b2o
2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o30bo3bo15b2o2b2o2b2o20bo3b
o25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o
2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3b
o25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o
2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3bo25b2o2b2o2b2o20bo3b
o25b2o2b2o2b2o$34b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o
58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o$obobo55bobobo55bobobo55b
obobo65bobobo45bobobo55bobobo55bobobo55bobobo55bobobo55bobobo55bobobo
55bobobo55bobobo55bobobo55bobobo55bobobo55bobobo55bobobo55bobobo$32b2o
2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b
2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o
54b2o2b2o54b2o2b2o54b2o2b2o54b2o2b2o$o3bo27b2o2b2o22bo3bo27b2o2b2o22bo
3bo27b2o2b2o22bo3bo27b2o2b2o32bo3bo17b2o2b2o22bo3bo27b2o2b2o22bo3bo27b
2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o
22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3b
o27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o2b2o22bo3bo27b2o
2b2o$33b4o56b4o56b4o56b4o56b4o56b4o56b4o56b4o56b4o56b4o56b4o56b4o56b4o
56b4o56b4o56b4o56b4o56b4o56b4o56b4o$o3bo28bo2bo23bo3bo28bo2bo23bo3bo
28bo2bo23bo3bo28bo2bo33bo3bo18bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo
28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo
28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo23bo3bo
28bo2bo23bo3bo28bo2bo23bo3bo28bo2bo$32bo4bo54bo4bo54bo4bo54bo4bo54bo4b
o54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4b
o54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo$32bo4bo54bo4bo54bo4bo54bo4bo54bo
4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo
4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo$32bob2obo54bob2obo54bob2obo54bo
b2obo54bob2obo54bob2obo54bob2obo54bob2obo54bob2obo54bob2obo54bob2obo
54bob2obo54bob2obo54bob2obo54bob2obo54bob2obo54bob2obo54bob2obo54bob2o
bo54bob2obo$33bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo
56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo
56bo2bo56bo2bo$33bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2b
o56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2b
o56bo2bo56bo2bo2$27bo14bo224bo14bo44bo14bo44bo14bo44bo14bo44bo14bo44bo
14bo44bo14bo44bo14bo44bo14bo44bo14bo44bo14bo44bo14bo44bo14bo44bo14bo
44bo14bo44bo14bo$27b2o4bo2bo4b2o110bo2bo56bo2bo50b2o4bo2bo4b2o44b2o4bo
2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b
2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b
2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo2bo4b2o44b2o4bo
2bo4b2o$27bo5b4o5bo48bo6bo54b4o56b4o50bo5b4o5bo44bo5b4o5bo44bo5b4o5bo
44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo
5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o5bo44bo5b4o
5bo$28b2o4b2o4b2o30bo17bobob2obobo54b2o58b2o52b2o4b2o4b2o46b2o4b2o4b2o
46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o
4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o
4b2o46b2o4b2o4b2o46b2o4b2o4b2o46b2o4b2o4b2o$29bo10bo49b2o2b2o2b2o169bo
10bo48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo
48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo48bo10bo$27bobo10bobo
27bo3bo19b2o36bo19b6o34bo74bobo10bobo44bobo10bobo44bobo10bobo44bobo10b
obo44bobo10bobo44bobo10bobo44bobo10bobo44bobo10bobo44bobo10bobo44bobo
10bobo44bobo10bobo44bobo10bobo44bobo10bobo44bobo10bobo44bobo10bobo44bo
bo10bobo$28b5o4b5o109bo6bo109b5o4b5o46b5o4b5o46b5o4b5o46b5o4b5o46b5o4b
5o46b5o4b5o46b5o4b5o46b5o4b5o46b5o4b5o46b5o4b5o46b5o4b5o46b5o4b5o46b5o
4b5o46b5o4b5o46b5o4b5o46b5o4b5o$30bo2b4o2bo30bobobo17b2o2b2o32bo3bo15b
o8bo30bo3bo16b8o51bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2b
o50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50b
o2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo50bo2b4o2bo$29bo4b2o4bo51b2o
2b2o52bo8bo50bob6obo49bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b
2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4b
o48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo48bo4b2o4bo$33bo2bo33bo3b
o18b4o33bobobo18bo2bo33bobobo15b3o4b3o53bo2bo56bo2bo56bo2bo56bo2bo56bo
2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo
2bo56bo2bo$34b2o57bo2bo55bo4bo55bo2bo57b2o58b2o58b2o58b2o58b2o58b2o58b
2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o$31b2ob2ob2o31bo3bo17bo
4bo32bo3bo17b2o2b2o32bo3bo17bo4bo53b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b
2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob
2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob2o52b2ob2ob
2o$92bo4bo114b2o2b2o$30bo8bo52bob2obo32bo3bo55bo3bo75bo8bo50bo8bo50bo
8bo50bo8bo50bo8bo50bo8bo50bo8bo50bo8bo50bo8bo50bo8bo50bo8bo50bo8bo50bo
8bo50bo8bo50bo8bo50bo8bo$29b3o6b3o52bo2bo172b3o6b3o48b3o6b3o48b3o6b3o
48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b
3o48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b3o48b3o6b3o$29bo2bo4bo2bo52bo2bo
55b6o54b2o2b2o51bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo
2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4b
o2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo48bo2bo4bo2bo
48bo2bo4bo2bo$28b2o10b2o112b2o112b2o10b2o46b2o10b2o46b2o10b2o46b2o10b
2o46b2o10b2o46b2o10b2o46b2o10b2o46b2o10b2o46b2o10b2o46b2o10b2o46b2o10b
2o46b2o10b2o46b2o10b2o46b2o10b2o46b2o10b2o46b2o10b2o$87bo14bo49bo4bo
53bo2b2o2bo$87b2o4bo2bo4b2o50bo2bo57b2o$87bo5b4o5bo50b4o55b6o$88b2o4b
2o4b2o$89bo10bo46bo14bo$87bobo10bobo42b2ob2o3b4o3b2ob2o41bobo12bobo$
88b5o4b5o51b4o49bo2bo10bo2bo$90bo2b4o2bo48bobo2b4o2bobo44bo2bo2b6o2bo
2bo$89bo4b2o4bo47b3o3b2o3b3o$93bo2bo51b2ob3o2b3ob2o46b3o8b3o$94b2o55bo
bo2bobo50bobob4obobo$91b2ob2ob2o52bob4obo52bo2b2o2bo$152bo4bo53bo6bo$
90bo8bo52b2o2b2o54b2o2b2o$89b3o6b3o51bob2obo$89bo2bo4bo2bo111bo4bo$88b
2o10b2o48bo8bo52b6o$211b2ob2ob2o$149bob2o4b2obo48bob2o4b2obo$148b3o8b
3o47bob2o4b2obo$208b2o10b2o8$970bobobo$992b2ob2o$970bo20b4obo$990bo6bo
$970bobo18bo4bo$996bo$970bo22bobo$994b2o$970bobobo19bobo$997b4o$670bo
3bo55bobobo55bobobo199bo6bo$994bo4b2o$670bo3bo55bo59bo202bo3bo$992b2o$
670bobobo55bobobo55bobobo200bo$992b2o3bo$674bo59bo55bo3bo198bo3b3o$
997bobo$25bo119bo59bo59bo59bo59bo59bo59bo59bo59bo48bo10bo44bobobo10bo
44bobobo10bo192b3o$25b2o118b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o
58b2o58b2o58b2o191bobo$25bo64b3o52bo59bo59bo59bo59bo59bo59bo59bo59bo
59bo59bo59bo188b2o3bo$26b2o61b2o55b2o58b2o58b2o58b2o58b2o58b2o58b2o58b
2o58b2o58b2o58b2o58b2o185bo2b2o$27bo59b2o4bo53bo59bo59bo59bo59bo59bo
59bo59bo59bo59bo59bo59bo184b2o2bo$25bobo60b3obo52bobo57bobo57bobo57bob
o57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo184b2ob2o$26b5ob2o53b
3o56b5ob2o52b5ob2o52b5ob2o52b5ob2o52b5ob2o52b5ob2o52b5ob2o52b5ob2o52b
5ob2o52b5ob2o52b5ob2o52b5ob2o181bo$28bo3b2o52b2o60bo3b2o54bo3b2o54bo3b
2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo
3b2o176b6o$28bo56bo2bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo
186bo$31bo54bobob2o59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo
178bo3bo$29b2o57bo3bo56b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b
2o58b2o58b2o117b2o65bo52b2o$29b3o54bobob2o57b3o57b3o57b3o57b3o57b3o57b
3o57b3o57b3o57b3o57b3o57b3o57b3o115b3o64b2obo49b3o$30bo39bobobo10bo2b
2o60bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo117bobo63bo2bo50bobo
$30bobo53b3o61bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bo
bo57bobo57bobo116b2o60b2o2bobo51b2o$31b2o39bo10b2o2bo4b2o57b2o58b2o58b
2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o117b2o58bo3b2o54b2o$31b
obo54bobo2bo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bo
bo57bobo57bobo118bo61b2ob2o53bo$33bo38bo10bobo2bo64bo59bo59bo59bo59bo
59bo59bo59bo59bo59bo59bo59bo115bo2bob3o55bob2o53bo2bob3o$33bo50b2o2bo
3bo60bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo120b3o62bo54b3o$28b
3o2b2o37bo11b2o4b2o56b3o2b2o53b3o2b2o53b3o2b2o53b3o2b2o53b3o2b2o53b3o
2b2o53b3o2b2o53b3o2b2o53b3o2b2o53b3o2b2o53b3o2b2o53b3o2b2o120bo60bobo
56bo$85bo4bo841b2o63bo54b2o$26b2o42bobobo14bo3bo52b2o58b2o58b2o58b2o
58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o124bo119bo$26bo2bo55b2o6b2o51b
o2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56bo2bo56b
o2bo56bo2bo124bo59b4o56bo$25b3ob2o53b3o2bo3bo51b3ob2o54b3ob2o54b3ob2o
54b3ob2o54b3ob2o54b3ob2o54b3ob2o54b3ob2o54b3ob2o54b3ob2o54b3ob2o54b3ob
2o99bo82b4ob2o$25bo3b2o54bob3o3bo51bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo
3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o54bo3b2o122bobo56b
2o4b2o53bobo$24b3obo2bo53bo2bo2b2o51b3obo2bo52b3obo2bo52b3obo2bo52b3ob
o2bo52b3obo2bo52b3obo2bo52b3obo2bo52b3obo2bo52b3obo2bo52b3obo2bo52b3ob
o2bo52b3obo2bo98bo22bo2bo56bo2b2o55bo2bo$24b2obo58b2o56b2obo56b2obo56b
2obo56b2obo56b2obo56b2obo56b2obo56b2obo56b2obo56b2obo56b2obo56b2obo
126bobo55b2o2b2o56bobo$24b5o3b2o51bobo56b5o3b2o50b5o3b2o50b5o3b2o50b5o
3b2o50b5o3b2o50b5o3b2o50b5o3b2o50b5o3b2o50b5o3b2o50b5o3b2o50b5o3b2o50b
5o3b2o96bo25b2o53bo64b2o$24bo5bo54b2o57bo5bo53bo5bo53bo5bo53bo5bo53bo
5bo53bo5bo53bo5bo53bo5bo53bo5bo53bo5bo53bo5bo53bo5bo121bo2b2o54bo7bo
52bo2b2o$27bo4bo51bo62bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo
54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo97bo21bo3b2o58bob2o52bo3b2o$24bo7bo
51bo3bo55bo7bo51bo7bo51bo7bo51bo7bo51bo7bo51bo7bo51bo7bo51bo7bo51bo7bo
51bo7bo51bo7bo51bo7bo117b3o63bo53b3o$24b2obo5bo54b3o53b2obo5bo50b2obo
5bo50b2obo5bo50b2obo5bo50b2obo5bo50b2obo5bo50b2obo5bo50b2obo5bo50b2obo
5bo50b2obo5bo50b2obo5bo50b2obo5bo96bobobo14b2o64b2o2bo49b2o$26bo2bo2bo
51bo3b3o55bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo
53bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo119b2o118b
2o$30bo53b2o4bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo59bo117bobo
117bobo$12bobo14b2obo116b2obo56b2obo56b2obo56b2obo56b2obo56b2obo56b2ob
o56b2obo56b2obo56b2obo56b2obo56b2obo121bo58b4o57bo$28bo4bo56b2o56bo4bo
54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo54bo4bo
54bo4bo116b4o57bo4bo53b4o$10bo17b2obobo56b2obo54b2obobo54b2obobo54b2ob
obo54b2obobo54b2obobo54b2obobo54b2obobo54b2obobo54b2obobo54b2obobo54b
2obobo54b2obobo112bo8bo55bo4bo49bo8bo$28b2o2bo57bo2bo54b2o2bo55b2o2bo
55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o2bo55b2o
2bo55b2o2bo113bo3b2o59b2o3bo49bo3b2o$10bo18b3o57b2obo56b3o57b3o57b3o
57b3o57b3o57b3o57b3o57b3o57b3o57b3o57b3o57b3o115bo3bo2b3o57b2o51bo3bo
2b3o$29b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o
58b2o123bo59b3o57bo$10bo18b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o
58b2o58b2o58b2o58b2o58b2o116b3o5b2o59bo50b3o5b2o$30bobo57bobo57bobo57b
obo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo57bobo114b3o
5b2o58b2o50b3o5b2o$12bobo913b2o118b2o$obo27bo2bo26bobo27bo2bo26bobo27b
o2bo16bobo37bo2bo16bobo37bo2bo26bobo27bo2bo26bobo27bo2bo26bobo27bo2bo
26bobo27bo2bo26bobo27bo2bo26bobo27bo2bo26bobo27bo2bo26bobo27bo2bo26bob
o27bo2bo88bobo28bo28bobo28bo28bobo28bo$31b2o58b2o58b2o58b2o58b2o58b2o
58b2o58b2o58b2o58b2o58b2o58b2o58b2o58b2o119b3o57b3o57b3o$o3bo27bo27bo
3bo27bo27bo3bo27bo17bo3bo37bo17bo3bo37bo27bo3bo27bo27bo3bo27bo27bo3bo
27bo27bo3bo27bo27bo3bo27bo27bo3bo27bo27bo3bo27bo27bo3bo27bo27bo3bo27bo
87bo30bo2bobo23bo30bo2bobo23bo30bo2bobo$930bo2bo2bo53bo2bo2bo53bo2bo2b
o$obo29bo27bobo29bo27bobo47bobo57bobo67bobo57bobo57bobo57bobo27bo29bob
o31bo25bobo57bobo57bobo27bo3bo25bobo117bo34bo24bo34bo24bo34bo$271bobo
57bobo176bo2bo57bo2bo113bo7bo53bo3bo56bobo120bo56bo2bo59bo$o3bo21bo6bo
26bo3bo26bo6bo21bo3bo45bo3bo55bo3bo37bo27bo3bo27bo27bo3bo25bo3bo25bo3b
o25bo3bo25bo3bo5bobobo14bo3bo26bo3bo5bobobo16bo3bo24bo3bo5bo3bo9b2o13b
2o19bo3bo7bobobo9b2o9b2o21bo3bo23b3o3b3o23bo3bo27bo87bo30bo28bo59bo30b
o$12bo12bobob2obobo37bo17bobob2obobo32bo14bo6bo27bo27bo6bo54bo59bo56bo
bobobo53bobobobo54bo2bo57bo2bo48bo2bo5bo5bo2bo44bobo2b3o2bobo48b2o7b2o
54bo180bob2o$obo22b2o2b2o2b2o25bobo27b2o2b2o2b2o20bobo23bob6obo14bobo
36bob6obo11bobo7bobobo19bo3b2o30bobo7bobobo20b2o3bo19bobo7bobobo14b2o
2bo2bo23bobo7bobobo13bo2bo2b2o24bobo9bo17b2o28bobo9bo20b2o25bobo7bo3bo
8bo4b4ob4o4bo18bobo11bo12b3ob3ob3o22bobo24b3o5b3o22bobo21bo3b2o12b2o3b
o74bobo5bobo19b3o27bobo28bo3bo24bobo24bo2b3o$10bo3bo14b2o39bo3bo19b2o
34bo3bo11b2o6b2o24bo3bo24b2o6b2o45bo2bob2o63b2obo2bo170b2o59b2o51bo2b
2o5b2o2bo48bobo3bobo50b2o7b2o46bo2bob2o10b2obo2bo106bo59bo3bo49bobo3b
3o$150b2o61b2o25bo22bo2bob3o39bo23b3obo2bo28bo21bo2bo34bo18bo2bo39bo
18b6o35bo15b6o36bobo11b2o4bobobo4b2o33bo12b2o7b2o48b2o4bo4b2o44bo2bob
3o3b4o3b3obo2bo81bo3bo19b2o62bo31bobo14bo7b3o$10bobobo12b2o2b2o37bobob
o17b2o2b2o32bobobo14b4o27bobobo27b4o53b2o63b2o56bobo55bobo58b4o55b4o
53b3ob3ob3o49b2o7b2o48bo4b3o4bo50b2o4b2o4b2o111b3o54b2o2bo51bo4b2o$27b
2o2b2o59b2o2b2o50b2o2b2o57b2o2b2o23bobo25b3o39bobo21b3o33bobo19bo37bob
o19bo39bo20b2o37bo17b2o38bo3bo12b2o7b2o32bo3bo13bo7bo50bo3b3o3bo50bob
3obo2bob3obo86bobo21b2o54bo2b3o2bo31bo3bo17bo$10bo3bo13b4o38bo3bo18b4o
33bo3bo45bo3bo83b2o65b2o56b2o55b2o57bobob2o55b2obobo110bobo7bobo111bo
3b4o3bo169b2ob2obo52bo$28bo2bo61bo2bo143bo27b2o40bo24b2o33bo23bo35bo
19bo39bobobo15b2o38bobobo18b2o35bo3bo57bo12bo13bo110bo3bo2bo3bo88bo3bo
82bo32bo3bo16bo$10bo3bo12bo4bo37bo3bo17bo4bo32bo3bo13b2o2b2o26bo3bo26b
2o2b2o178bo53bo60b2o3b3o49b3o3b2o55b5o51b3o7b3o51bo3bo56b3ob2ob3o229bo
$27bo4bo59bo4bo50b2o2b2o57b2o2b2o23bobobo21b3o41bobobo21b3o31bo59bo80b
2o2bobo49bobo2b2o57b3o55bobobobo54b5o155bobo16bo6bo58b3o32bo3bo15b2ob
2o$27bob2obo59bob2obo49b2o4b2o55b2o4b2o47bobo69bobo52bobo55bobo55b2ob
2o2bobo49bobo2b2ob2o54b3o55bobobobo50bo11bo52b2o6b2o107bob6obo56b2o2bo
50bobob2o$28bo2bo61bo2bo51bob2obo57bob2obo47bo4b2o63b2o4bo52bo57bo56b
2o2bo59bo2b2o112bo5bo49b2o4bobo4b2o50bo10bo106b2o6b2o56b4o32bobo20bo$
28bo2bo61bo2bo51b2o2b2o57b2o2b2o47bo2bo69bo2bo49b2obo57bob2o54bobo5bo
49bo5bobo54b2ob2o50b2o2bobobobo2b2o44b2o5bobo5b2o50b2o6b2o111b2o64b3o
47bobob2o$265b2o71b2o51b2o59b2o56bobo2b2o51b2o2bobo55b2ob2o50b2o11b2o
49bo2bo2bo175b4o61bo2bo50b2o$22bo14bo49bo14bo289bo59bo56bo3bobobo49bob
obo3bo53b3ob3o49b3o9b3o48b3o3b3o173b2o2b2o61b3o51b2o$22b2o4bo2bo4b2o
49b2o4bo2bo4b2o40b2o12b2o47b2o12b2o44b2o69b2o50bobo61bobo53b2obo4bo49b
o4bob2o53b2o3b2o51bo9bo299bo50b4o$22bo5b4o5bo49bo5b4o5bo39b3o4bo2bo4b
3o45b3o4bo2bo4b3o41bo4bo65bo4bo55b2o49b2o58bo2b2o3bo53bo3b2o2bo49b2obo
3bob2o49bo9bo298b2o49bo3bo$23b2o4b2o4b2o51b2o4b2o4b2o41bobo3bo2bo3bobo
47bobo3bo2bo3bobo41bo6bo63bo6bo48bobobobo51bobobobo60bobo49bobo56bo4bo
bo4bo47b2o9b2o231b2o2b2o59bo3bo47bo2bo$24bo10bo53bo10bo43b2o3bo2bo3b2o
49b2o3bo2bo3b2o41bo8bo61bo8bo53bo51bo61b4o2bo51bo2b4o52bobobobobobo48b
o11bo51b2ob2o175b2o2b2o58bo4bo49bo$22bobo10bobo49bobo10bobo42b2o8b2o
51b2o8b2o42b2ob4ob2o61b2ob4ob2o49bo3bo51bo3bo55bob3o59b3obo47b2o2b2obo
bob2o2b2o44bobo9bobo48b2obobob2o172b2o4b2o58bobo2bo$23b5o4b5o51b5o4b5o
45bo6bo55bo6bo175b4o51b4o59b2obo55bob2o56b2ob2o50bobo9bobo48b2obobob2o
173bob2obo58bo52bo6bo$25bo2b4o2bo55bo2b4o2bo44bo2b8o2bo49bo2b8o2bo173b
2o53b2o62b2ob2o49b2ob2o56b3o3b3o48b3o9b3o48b2obobob2o173b2o2b2o110bob
6obo$24bo4b2o4bo53bo4b2o4bo43bo3b2o2b2o3bo49bo3b2o2b2o3bo43b2o2b2o65b
2o2b2o53b3o51b3o62b2o55b2o55b3o5b3o49bo9bo49b3obobob3o288b2o6b2o$28bo
2bo61bo2bo167b2o2b2o65b2o2b2o174bobo49bobo57bo2bo3bo2bo108bo3b5o3bo
213bo18bo6bo51b2o$29b2o63b2o53bo2bo59bo2bo301bo49bo62bo3bo49b2o13b2o
224b2o12b2o49bobob2obobo49b4o$26b2ob2ob2o57b2ob2ob2o49bo4bo57bo4bo49b
2o69b2o289bo7bo48b2obo7bob2o44b2obo9bob2o163b3o4bo2bo4b3o28bo3bo15b2o
2b2o2b2o48b2o2b2o$149b4o59b4o49b4o67b4o52b4o53b4o59b3o55b3o55b3o3b3o
51bo7bo47bo2bobob3obobo2bo164bobo3bo2bo3bobo53b2o$25bo8bo55bo8bo47bo6b
o55bo6bo46b2o2b2o65b2o2b2o50b6o51b6o56b3o2b3o49b3o2b3o111bo3bo3bo3bo
45b4ob7ob4o165b2o3bo2bo3b2o30bobobo$24b3o6b3o53b3o6b3o44b3o6b3o51b3o6b
3o44bo4bo65bo4bo49b8o49b8o56b2o3b2o49b2o3b2o117bobo52b2o9b2o168b2o8b2o
53b2o2b2o50b2o2b2o$24bo2bo4bo2bo53bo2bo4bo2bo44bobo6bobo51bobo6bobo46b
2o69b2o50b2o6b2o47b2o6b2o53bo2bo59bo2bo49b2ob3o3b3ob2o51bobo54b2o5b2o
172bo6bo33bo3bo17b2o2b2o50b2o2b2o$23b2o10b2o51b2o10b2o45bo6bo55bo6bo
46bo4bo65bo4bo168bo2bo59bo2bo49b2obo2bobo2bob2o49bobobobo230bo2b8o2bo
53b4o50b2o4b2o$144b2o10b2o49b2o10b2o43bo4bo65bo4bo168b3o61b3o54bo3bo
53b2obobob2o51b2obobob2o169bo3b2o2b2o3bo30bo3bo18bo2bo51bob2obo$259bo
14bo55bo14bo45bo4bo51bo4bo171b2ob2o5b2ob2o51bobo56bo3bo237bo4bo50b2o2b
2o$258bobo4bo2bo4bobo53bobo4bo2bo4bobo44b2o2b2o51b2o2b2o172bo11bo48bo
3bobo3bo233bo2bo57bo4bo$261bo3b4o3bo59bo3b4o3bo285b2o3b2o55bobo236bo4b
o56bob2obo$258bo16bo53bo16bo164b2o59b2o54b2obobob2o51bobo3bobo234b4o
58bo2bo46b2o12b2o$260b2o10b2o57b2o10b2o47b4o53b4o57b2o61b2o53b2obobob
2o51b2o5b2o232bo6bo56bo2bo45b3o4bo2bo4b3o$259b3o10b3o55b3o10b3o46bo2bo
53bo2bo176bobobobo50b3o7b3o228b3o6b3o104bobo3bo2bo3bobo$264bo4bo65bo4b
o50bo4bo51bo4bo54bo2bo61bo2bo54bobo50b2o2b2o5b2o2b2o226bobo6bobo48bo
14bo41b2o3bo2bo3b2o$262b2obo2bob2o61b2obo2bob2o49b4o53b4o55bo2bo61bo2b
o51b3o3b3o292bo6bo50b2o4bo2bo4b2o42b2o8b2o$262b2o2b2o2b2o61b2o2b2o2b2o
48b2o2b2o51b2o2b2o54bobo63bobo52bo5bo49bo13bo226b2o10b2o47bo5b4o5bo44b
o6bo$262b2o6b2o61b2o6b2o49b4o53b4o171b2o4bo3bo4b2o44bo13bo288b2o4b2o4b
2o42bo2b8o2bo$263b2ob2ob2o63b2ob2ob2o51b2o55b2o175bob3ob3obo47bo13bo
289bo10bo43bo3b2o2b2o3bo$263b2ob2ob2o63b2ob2ob2o43b3o5b2o5b3o39b3o5b2o
5b3o167bobobobobobo349bobo10bobo$385b3o4bo2bo4b3o39b3o4bo2bo4b3o48b8o
53b8o50bo9bo350b5o4b5o47bo2bo$386b2o3bo4bo3b2o41b2o3bo4bo3b2o48bob6obo
51bob6obo47bo13bo350bo2b4o2bo48bo4bo$261b3o6b3o59b3o6b3o43bobo8bobo43b
obo8bobo49b3o4b3o51b3o4b3o46bo3bo7bo3bo348bo4b2o4bo48b4o$260bo3bo4bo3b
o57bo3bo4bo3bo41bo14bo41bo14bo51bo2bo57bo2bo53bo7bo356bo2bo50bo6bo$
263bo6bo63bo6bo45bo2bobo2bobo2bo43bo2bobo2bobo2bo51bo4bo55bo4bo51bo4bo
4bo356b2o49b3o6b3o$260b2o10b2o57b2o10b2o45bo6bo49bo6bo54b2o2b2o55b2o2b
2o49bobo3bobo3bobo351b2ob2ob2o46bobo6bobo$390bob4obo49bob4obo169b2o3bo
5bo3b2o406bo6bo$390bo6bo49bo6bo169b5obo3bob5o349bo8bo44b2o10b2o$390b2o
b2ob2o49b2ob2ob2o54b2o2b2o55b2o2b2o51b2obobobob2o351b3o6b3o$391bob2obo
51bob2obo177b3o355bo2bo4bo2bo$508bo2b2o2bo53bo2b2o2bo55bo355b2o10b2o$
511b2o59b2o$389b2o6b2o47b2o6b2o53b6o55b6o$387b2obo6bob2o43b2obo6bob2o$
387b4o6b4o43b4o6b4o$388bo10bo45bo10bo46bobo12bobo43bobo12bobo$503bo2bo
10bo2bo43bo2bo10bo2bo$503bo2bo2b6o2bo2bo43bo2bo2b6o2bo2bo2$505b3o8b3o
47b3o8b3o$506bobob4obobo49bobob4obobo$508bo2b2o2bo53bo2b2o2bo$508bo6bo
53bo6bo$509b2o2b2o55b2o2b2o2$509bo4bo55bo4bo$509b6o55b6o$508b2ob2ob2o
53b2ob2ob2o$506bob2o4b2obo49bob2o4b2obo$506bob2o4b2obo49bob2o4b2obo$
505b2o10b2o47b2o10b2o29$180bobobo80b2o45b2o126bobobo175bobobo$265b3o
43b3o$184bo79bobo45bobo129bo60bobo71bobo42bo$264b2o47b2o190bo2bo69bo2b
o$180bobobo78b2o49b2o124bobobo60bo2bo69bo2bo42bo$262bo53bo$180bo77b3ob
o2bo47bo2bob3o119bo66b3o67b3o44bo$258b3o57b3o187bob2obo59bob2obo$180bo
bobo74bo59bo120bobobo67bobo57bobo49bo$31bo229b2o53b2o193bo63bo$31b2o
229bo53bo194bob2o57b2obo$31bo64b3o161bo57bo191b2o63b2o$32b2o61b2o413bo
65bo424bo59bo59bo$33bo59b2o4bo159bobo55bobo681b3o57b3o57b3o$31bobo60b
3obo159bo2bo55bo2bo191bo61bo425bob3o55bob3o55bob3o$32b5ob2o53b3o162bob
o57bobo191bo61bo426bo3bo55bo3bo55bo3bo$34bo3b2o52b2o163b2o61b2o189bo2b
o57bo2bo426bo59bo59bo$34bo56bo2bo163b2o2bo53bo2b2o193bo57bo429bo3bo55b
o3bo55bo3bo$37bo54bobob2o159b2o3bo53bo3b2o193bo55bo431bo2bo56bo2bo56bo
2bo$35b2o57bo3bo163b3o49b3o196bo59bo429b2o2bo55b2o2bo55b2o2bo$35b3o54b
obob2o166b2o47b2o195b2ob3o55b3ob2o424bo2bo56bo2bo56bo2bo$36bo33bobobo
16bo2b2o165b2o53b2o189b2obo65bob2o420bo3bo55bo3bo55bo3bo$36bobo53b3o
169bobo45bobo192b2o2bo63bo2b2o421b2obo56b2obo56b2obo$37b2o33bo16b2o2bo
4b2o160bo57bo189b2o67b2o423bo4bo54bo4bo54bo4bo$37bobo54bobo2bo161b4o
49b4o193bo63bo404bobobo18bo2b3o54bo2b3o54bo2b3o$39bo32bo16bobo2bo164bo
8bo41bo8bo187b2ob2o63b2ob2o419b2o2bo2bo52b2o2bo2bo52b2o2bo2bo$39bo50b
2o2bo3bo164b2o3bo41bo3b2o193b4o61b4o404bo16b2o2b3o3bo49b2o2b3o3bo49b2o
2b3o3bo$34b3o2b2o31bo17b2o4b2o160b3o2bo3bo43bo3bo2b3o683b2obo56b2obo
56b2obo$91bo4bo163bo57bo185b2o2b2o2bobo57bobo2b2o2b2o399bo18bobo2bo2bo
51bobo2bo2bo51bobo2bo2bo$32b2o36bobobo20bo3bo158b2o5b3o43b3o5b2o187b2o
2b2o59b2o2b2o422b3o2bo54b3o2bo54b3o2bo$32bo2bo55b2o6b2o157b2o5b3o43b3o
5b2o184bo6bo61bo6bo400bo18b3o3b2o52b3o3b2o52b3o3b2o$31b3ob2o53b3o2bo3b
o165b2o45b2o191bobo4bobo57bobo4bobo416b2o6b2o50b2o6b2o50b2o6b2o$31bo3b
2o54bob3o3bo161bo55bo190bo4b2o57b2o4bo401bobobo13b3o5bobo49b3o5bobo49b
3o5bobo$30b3obo2bo53bo2bo2b2o161b3o53b3o186bobo71bobo417b2o2bo4bo50b2o
2bo4bo50b2o2bo4bo$30b2obo58b2o164bobo2bo51bo2bobo189b3o61b3o422bo2b2ob
o53bo2b2obo53bo2b2obo$30b5o3b2o51bobo164bo2bo2bo49bo2bo2bo189bob2o59b
2obo423bo2bo3bo52bo2bo3bo52bo2bo3bo$30bo5bo54b2o166bo59bo189bo2bo61bo
2bo426b2obo56b2obo56b2obo$33bo4bo51bo169bo57bo193bobo57bobo430bobo57bo
bo57bobo$30bo7bo51bo3bo168bo51bo196b2o59b2o431b3o57b3o57b3o$30b2obo5bo
54b3o911bo59bo59bo$12bobo17bo2bo2bo51bo3b3o143bobo17b3o37bobo13b3o171b
obo57bobo451bo59bo59bo$36bo53b2o4bo163bo57bo191b2o63b2o425bo2bo56bo2bo
56bo2bo$10bo24b2obo201bo3bo14b2o39bo3bo13b2o170bo3bo16b2o37bo3bo19b2o
425bo2bo2b2o52bo2bo2b2o52bo2bo2b2o$34bo4bo56b2o160b3o57b3o681bo4b2o53b
o4b2o53bo4b2o$10bo23b2obobo56b2obo140bobo16b2o39bobo15b2o170bobo18bo2b
o35bobo19bo2bo425b2o58b2o58b2o$34b2o2bo57bo2bo411bo2bo57bo2bo424b3o57b
3o57b3o$10bo24b3o57b2obo141bo3bo55bo3bo185bo3bo17bobo35bo3bo17bobo428b
o59bo59bo$35b2o58b2o162bo59bo679bo59bo59bo$12bobo20b2o58b2o143bobo15b
3o39bobo15b3o169bobo57bobo$36bobo57bobo$obo28b3o5bo20bobo28b3o5bo70bob
obo26b3o26bobobo26b3o26bobobo26b3o96bobobo26b5o24bobobo26b5o24bobobo
26b5o24bobobo26b5o86bobobo28b2o25bobobo28b2o25bobobo28b2o93bo3bo26b3o
26bo3bo26b3o26bo3bo26b3o$30bob2o2bo2bo50bob2o2bo2bo104bob3o55bob3o55bo
b3o121bo2bo2bo53bo2bo2bo53bo2bo2bo53bo2bo2bo117b2obo56b2obo56b2obo122b
4o56b4o56b4o$o3bo25b4obo3bo20bo3bo25b4obo3bo70bo29bo3bo25bo29bo3bo25bo
29bo3bo95bo29b2obobo24bo29b2obobo24bo29b2obobo24bo29b2obobo84bo32bobo
2bo21bo32bobo2bo21bo32bobo2bo91bo3bo25bo29bo3bo25bo29bo3bo25bo$32bo2bo
56bo2bo104bo3bo59bo59bo129bo59bo59bo59bo117bo4bo54bo4bo54bo4bo126bo59b
o59bo$o3bo27bo2b2o23bo3bo27bo2b2o73bobo57bobo57bobo127bobo30bo26bobo
30bo26bobo30bo26bobo30bo86bo3bobo24bo3b4o21bo3bobo24bo3b4o21bo3bobo24b
o3b4o91bobobo26bo2b2o24bobobo26bo2b2o24bobobo26bo2b2o$34b3o57b3o107bo
56bo2bo56bo2bo127b2o58b2o58b2o58b2o116bob2ob2obo51bob2ob2obo51bob2ob2o
bo$o3bo31b2o22bo3bo31b2o72bo31b2o26bo30bo2bob2o22bo29bo3bo95bo31b2obo
24bo31b2obo24bo31b2obo24bo31b2obo84bo5bo24bo2bob2o22bo5bo24bo2bob2o22b
o5bo24bo2bob2o92bo3bo31bo23bo3bo31bo23bo3bo31bo$33b2ob2o55b2ob2o104bo
61b2o2bo49bo5bo128bo59bo59bo59bo122bo59bo59bo127b5o55b5o55b5o$obo29bob
o25bobo29bobo75bobobo28b3o24bobobo29bobo2b2o19bobobo23bo4bo96bo33bobo
23bo32bo2bo23bo33bobo23bo33bobo85bobobo26b2obo25bobobo26b2obo25bobobo
26b2obo93bo3bo32b2o21bo3bo32b2o21bo3bo32b2o$32b2o2bo55b2o2bo105bobobo
57bob2o49bo2bo3bo130bo58bob2o57bo59bo118bo56bo59bo135b2o58b2o58b2o$30b
2obob2o53b2obob2o106bob3o53bobo2b2ob2o53bobo185bob4o235b2o35bobo18bo5b
o32bobo18bo5bo129b3o57b3o57b3o$34bo59bo110bobo58bo56bo129b3o55bo4b2o
55b3o57b3o115bo2b2o55b4ob2o53b4ob2o$34bo59bo110b2o59b3o54bo2bo124b2ob
2o56b2o2b2o53b2ob2o55b2ob2o114b2o38bo3bo22bo32bo3bo22bo129bo59bo59bo$
33b2o58b2o109bobo60b2o182b2obo57b2o3b2o52b2obo56b2obo119b2o251bo59bo
59bo$30b3o57b3o175b2o50b3obobo123b2o2bo64bo50b2o2bo55b2o2bo119b2o34bob
o24b3o30bobo24b3o125bo2bo56bo2bo56bo2bo$31b3o57b3o173b3o53b2obo125bo
59b2o2bo55bo59bo121bobo$182bo18bo6bo56b2o3bo50bo129bo5bo58bo54bo59bo5b
o115b4o33bo23bo4bo30bo23bo4bo125b2o58b2o58b2o$200bobob2obobo52b2o2b4o
49b3o134b3o56bo120b3o113bo2bobo55bobo3b2o52bobo3b2o121b4o56b4o56b4o$
12bo17bo6bo52bo6bo82bo3bo15b2o2b2o2b2o52b4o3b2o47bo4bo127b3o58bo3b2o
54b2o57b3o116b2o4bobo31bo22bobo3b2o29bo22bobo3b2o121b2o2bo55b2o2bo55b
2o2bo$29bobob2obobo50bobob2obobo105b2o55bo2bo4b2o48bo3b3o127b3o54bo2b
3ob2o54b2o58b3o116bo5bo54b2o58b2o127bo59bo59bo$10bo3bo14b2o2b2o2b2o50b
2o2b2o2b2o81bobobo83bobo53b2o128b2o54bo3bobobo54bo60b2o114bobo2bo56bob
o57bobo133bo$33b2o58b2o107b2o2b2o58bobo52bob2o129b5o51bo3b2o54bobo61b
5o112bo6b2o51bob2o56bob2o129bo3bo$10bobobo165bo3bo17b2o2b2o58bobo187bo
54b2o56bo2bo63bo120b2o51b2obobo54b2obobo127b2obo2bo50b3o57b3o$31b2o2b
2o54b2o2b2o106b4o120bo128bo57bo55bo65bo121b2o50b2o3bob2o51b2o3bob2o
124b2o2bobo50bo59bo$10bo3bo16b2o2b2o54b2o2b2o83bo3bo18bo2bo58bob2o53b
6o128bo54b5o54bo65bo119bo55bo2bob2o53bo2bob2o125b2o52b2o58b2o$32b4o56b
4o106bo4bo56b5o57bo128bo55bo57b2o62b2o3b2o116bo56bob2o56bob2o126bo3b2o
50bo59bo$10bo3bo17bo2bo56bo2bo106bo4bo59bo56bo191bo52b2o41bobobo14bo9b
o112b4o2bo51bo2bo56bo2bo127bo54bob2o56bob2o$31bo4bo54bo4bo105bob2obo
114bo190bobo55bo59bo9bo112b2o2b2o51bo2bo56bo2bo130bo53b6o54b4o$31bo4bo
54bo4bo106bo2bo60b2o52bo3bo106bo18bo6bo54bo54b3o43bo15bo11bo110bobo4bo
50bo59bo129bo2bo54bobobob2o52b2o2bo$31bob2obo54bob2obo106bo2bo115bo2b
2o123bobob2obobo110bobo58b2ob5ob2o111bob2o53b2ob2o55b2ob2o126bo61bo61b
2o$32bo2bo56bo2bo146bo79bo2bo104bo3bo15b2o2b2o2b2o32bo77bob2o40bo17bo
7bo359bo2bo36bo22b4o33bo7bo16bo$32bo2bo56bo2bo101bo14bo51b6o54bo129b2o
55bo6bo51b4o58bobobobobo360bo60bo3bo$197b2o4bo2bo4b2o27bo3bo18bo6bo49b
ob2ob2o103bobobo55bo3bo15bobob2obobo49bo40bo3bo17bo7bo113b2o2bo51b2o
58b2o130bo2bo34bo24bo34bobo3bobo13bobo$26bo14bo44bo14bo95bo5b4o5bo49bo
8bo50b3o127b2o2b2o52b2o2b2o2b2o50bo3b2o56bo7bo169b2ob2o55b2ob2o129bobo
54bo2b2o55b2ob2o$26b2o4bo2bo4b2o44b2o4bo2bo4b2o96b2o4b2o4b2o28bobobo
17bo8bo48bo2bo106bo3bo17b2o2b2o32bobobo19b2o55b2ob2obo34bo17b2o9b2o89b
o19bo6bo51b2o2bo55b2o2bo127b2o2bo32bo19b2o3bo34bo3bo3bo12bo3bo$26bo5b
4o5bo44bo5b4o5bo97bo10bo54bo2bo51b3o130b4o113b2o6bo51b2o4bo4b2o108bobo
b2obobo52b2o58b2o127b2ob2o54bo2b2o54bo2b4o$27b2o4b2o4b2o46b2o4b2o4b2o
96bobo10bobo27bo3bo19bo4bo51bo108bo3bo18bo2bo33bo3bo17b2o2b2o54bo2bo3b
o50b2ob2o3b2ob2o87bo3bo16b2o2b2o2b2o240bo2b3o33bo20b2ob2o2b2o30bo7bo$
28bo10bo48bo10bo98b5o4b5o52b2o2b2o51bo130bo4bo54b2o2b2o52b2o4bob2o175b
2o55b2obo56b2obo125b5obo53b2o2bobo$26bobo10bobo44bobo10bobo98bo2b4o2bo
30bo3bo75b3o129bo4bo32bo3bo18b4o117b2ob2o91bobobo76b5ob3o51b5ob3o122b
2obobo32bobobo14bobo5bo32bo7bo16b3o$27b5o4b5o46b5o4b5o98bo4b2o4bo108bo
5b2o125bob2obo55bo2bo116b3ob3o113b2o2b2o51b2o3bobo52b2o3bobo124b2o4bo
50b2o4b2o52b3ob3obo$29bo2b4o2bo50bo2b4o2bo104bo2bo118bo127bo2bo55bo4bo
56b2ob2o50b2o3b2ob2o3b2o86bo3bo18b2o2b2o53bo59bo129bo4bo52b3o60b2o3bo$
28bo4b2o4bo48bo4b2o4bo104b2o58b6o51b3o2bo126bo2bo55bo4bo59b2o50b2o11b
2o110b4o58bo59bo125b2o56b2obo61b3o$32bo2bo56bo2bo105b2ob2ob2o57b2o53b
3ob2o185bob2obo60bo151bo3bo19bo2bo57b3ob3o53b3ob3o121b2ob2o52bo2b2o60b
3o$33b2o58b2o169bo4bo50b2o4bo120bo14bo50bo2bo57b3o53bobo7bobo110bo4bo
55bo3bob2o52bo3bob2o122bobobo52bo$30b2ob2ob2o52b2ob2ob2o102bo8bo55bo2b
o50bobo125b2o4bo2bo4b2o50bo2bo35bo78bo9bo111bo4bo55bob2ob2o53bob2ob2o
123bo3bo52b2o64bo$199b3o6b3o54b4o49bo128bo5b4o5bo108b4o178bob2obo55b3o
2bo54b3o2bo125bo54b2o64b3o$29bo8bo50bo8bo100bo2bo4bo2bo108bo2b2o124b2o
4b2o4b2o45bo14bo27bo3bo15b6o54b2o9b2o111bo2bo55b2o3b2o53b2o3b2o245bobo
bo$28b3o6b3o48b3o6b3o98b2o10b2o47bo14bo46b3o125bo10bo46b2o4bo2bo4b2o
46b8o52bo13bo110bo2bo53b2o3b2obo51b2o3b2obo125b3o117b2o$28bo2bo4bo2bo
48bo2bo4bo2bo157b2ob2o3b4o3b2ob2o45bobo122bobo10bobo44bo5b4o5bo27bobob
o13b2o6b2o51b2o11b2o167bobo2bo2b2o50bobo2bo2b2o124b3o53b3o58b2obo2bo$
27b2o10b2o46b2o10b2o164b4o53bobo123b5o4b5o46b2o4b2o4b2o108b2o9b2o105bo
14bo47b2o4bobo51b2o4bobo126b2o53b3o59bobob2o$260bobo2b4o2bobo47bo128bo
2b4o2bo49bo10bo29bo3bo193b2o4bo2bo4b2o48b2o3b2o53b2o3b2o126bobo53b2o
57bo7bo$260b3o3b2o3b3o50b2obo121bo4b2o4bo46bobo10bobo47bo4bo52bo3bo7bo
3bo103bo5b4o5bo50bob2o56bob2o128b2o114b3o$260b2ob3o2b3ob2o51bo2bo124bo
2bo51b5o4b5o28bo3bo15b2o2b2o56bo7bo108b2o4b2o4b2o52b2o58b2o124bo4b2o
50b2ob2o60bo2b2o$263bobo2bobo50b2ob5o125b2o54bo2b4o2bo108b2o13b2o105bo
10bo53b2o58b2o123b2o3bo54bo61b3ob2o$263bob4obo53b3o124b2ob2ob2o50bo4b
2o4bo109b3o7b3o105bobo10bobo235bo5bo113bo2bobobo$264bo4bo54bo188bo2bo
54b4o55b3o7b3o106b5o4b5o53b3o57b3o121bobo117b2o3bo$264b2o2b2o51bo2bo
125bo8bo54b2o55bo2bo57b4ob4o110bo2b4o2bo56b2o58b2o124b3o54b6o57b3o$
264bob2obo52b2o125b3o6b3o50b2ob2ob2o51bo4bo57bobobobo110bo4b2o4bo54bo
59bo127b2o53bo6bo53bo5bo$302bobo18b3o123bo2bo4bo2bo110b4o57bo2bobo2bo
113bo2bo59bobo57bobo178bo8bo59b2o$262bo8bo51b2obo121b2o10b2o48bo8bo50b
2o2b2o58b2ob2o116b2o55bob2o4bo51bob2o4bo119bo6bo50bo8bo52bo2bobob2o$
300bo22bo2b2o181b3o6b3o50b4o56bobobobobobo110b2ob2ob2o52b2ob3o2bo51b2o
b3o2bo101bo16bobob2obobo52bo2bo55b2o5bo$261bob2o4b2obo51bo184bo2bo4bo
2bo51b2o58b3o3b3o172b2o4bo53b2o4bo119b2o2b2o2b2o51bo4bo60bobo$260b3o8b
3o26bo23b2o182b2o10b2o42b3o5b2o5b3o50b3o3b3o110bo8bo54b2o2bo55b2o2bo
100bo3bo18b2o55b2o2b2o57bobo2b2o$323b2o239b3o4bo2bo4b3o51b2o3b2o110b3o
6b3o51bo2bobo54bo2bobo242bo2bobobo$300bo264b2o3bo4bo3b2o169bo2bo4bo2bo
51bo4bo54bo4bo101bobobo16b2o2b2o114b2obo3bo$566bobo8bobo49bob2o7b2obo
105b2o10b2o49bo4b2o53bo4b2o122b2o2b2o117bob2o$302bobo19b3o238bo14bo48b
o2bo7bo2bo173b3o57b3o100bo3bo17b4o54b6o57bobo$324b3o239bo2bobo2bobo2bo
49bo2bo7bo2bo174b2o58b2o122bo2bo56b2o55bo4bo$324b2o243bo6bo301b2o100bo
3bo16bo4bo53bo4bo52bobo$569bob4obo51bobo11bobo165b2o13b2o174bo4bo54bo
2bo56bo2bobo$321b2ob2o243bo6bo52bo13bo165bo2bo5bo5bo2bo50bo122bob2obo
54b4o53bobo3bo2bo$323bo245b2ob2ob2o232bo4b4ob4o4bo49bo124bo2bo118bo3bo
$570bob2obo235bo2b2o5b2o2bo47b4o125bo2bo49bo14bo54bo2bo$810b2o4bobobo
4b2o45b3ob2o175b2ob2o3b4o3b2ob2o$323b6o484b3ob3ob3o48bo3b2o118bo14bo
49b4o60bo2bo$322bo6bo238b2o6b2o235b2o7b2o48bo2bo120b2o4bo2bo4b2o44bobo
2b4o2bobo55bo2bo$321bo8bo235b2obo6bob2o293bobo120bo5b4o5bo44b3o3b2o3b
3o54b4o$321bo8bo235b4o6b4o293bo123b2o4b2o4b2o45b2ob3o2b3ob2o54bo$324bo
2bo239bo10bo237b5o50b2o125bo10bo49bobo2bobo56b4o$323bo4bo488b3o51b2o5b
2o116bobo10bobo47bob4obo59bo$323b2o2b2o488b3o58bo118b5o4b5o49bo4bo$
874b4o121bo2b4o2bo51b2o2b2o$816b2ob2o54bo2b3o117bo4b2o4bo50bob2obo57b
4o$816b2ob2o52bobobob2o121bo2bo116b6o$323b6o486b3ob3o50bo2bo4b2o121b2o
53bo8bo53b8o$325b2o488b2o3b2o51b2o125b2ob2ob2o112b2o6b2o$323bo4bo484b
2obo3bob2o52b3o178bob2o4b2obo$324bo2bo484bo4bobo4bo51b3o120bo8bo47b3o
8b3o$324b4o485bobobobobobo51b2o121b3o6b3o112bo4bo$810b2o2b2obobob2o2b
2o46b3o122bo2bo4bo2bo112b2o2b2o$318bo14bo482b2ob2o51bo124b2o10b2o$316b
2ob2o3b4o3b2ob2o478b3o3b3o50b3o$324b4o485b3o5b3o48bo4bo245b4o$319bobo
2b4o2bobo480bo2bo3bo2bo50b5o244bo2bo$319b3o3b2o3b3o483bo3bo53b2o3bo
242bo4bo$319b2ob3o2b3ob2o481bo7bo55bo244b4o$322bobo2bobo484b3o3b3o299b
2o2b2o$322bob4obo544b3o246b4o$323bo4bo546b2o247b2o$323b2o2b2o482b2ob3o
3b3ob2o290b3o5b2o5b3o$323bob2obo482b2obo2bobo2bob2o49bo240b3o4bo2bo4b
3o$816bo3bo53b3o240b2o3bo4bo3b2o$321bo8bo480b2ob2o5b2ob2o48b2o242bobo
8bobo$812bo11bo292bo14bo$320bob2o4b2obo483b2o3b2o54bo241bo2bobo2bobo2b
o$319b3o8b3o481b2obobob2o50b2o2bo243bo6bo$814b2obobob2o50b3o245bob4obo
$815bobobobo55bo243bo6bo$817bobo301b2ob2ob2o$814b3o3b3o52bob2o243bob2o
bo$815bo5bo53b3o$810b2o4bo3bo4b2o46b4o$813bob3ob3obo48b2o246b2o6b2o$
813bobobobobobo50bo243b2obo6bob2o$813bo9bo50bo243b4o6b4o$811bo13bo49b
2o242bo10bo$810bo3bo7bo3bo48b2o$814bo7bo51b3o$813bo4bo4bo47b3o$811bobo
3bobo3bobo46bob2o$810b2o3bo5bo3b2o45bo$810b5obo3bob5o49bo$813b2obobobo
b2o50bo$817b3o$818bo$872bo6bo$871bob6obo$871b2o6b2o$875b2o$874b4o$873b
2o2b2o3$873b2o2b2o$873b2o2b2o$872b2o4b2o$873bob2obo$873b2o2b2o3$868b2o
12b2o$867b3o4bo2bo4b3o$868bobo3bo2bo3bobo$869b2o3bo2bo3b2o$870b2o8b2o$
872bo6bo$869bo2b8o2bo$869bo3b2o2b2o3bo2$874bo2bo$873bo4bo$874b4o$872bo
6bo$870b3o6b3o$870bobo6bobo$872bo6bo$869b2o10b2o5$696b2o$695b2obo$694b
obo2bo$693bo4bo$692bo3b4o$691bob2ob2obo$692bo2bob2o$697bo$694b2obo$
310bobobo355bobo19bo$692bo5bo179bo$314bo355bo3bo17b4ob2o176bob3o122b2o
$698bo176bo2b2o122b2ob3o$314bo355bobo202b3obo122b4o$698b3o302bo$314bo
355bo202b2o132b2o$695bo4bo172b2o128bo4bo$314bo355bo23bobo3b2o171b2o2b
2o125bo$694bobo3b2o173bo2bo124b2o3bo$694b2o177b3ob2o125bob2o$693bobo
176bo2bo126bo4b3o$86bo73bo471bo59bob2o174bo2b2o133bobo$86b2o71b2o100bo
370b2o57b2obobo178bo3b2o121bo4b2ob2o$86bo73bo100b2o369bo58b2o3bob2o
170b2o5bo2bo120b2o3bo$87b2o69b2o101bo371b2o58bo2bob2o175b4o126bo3bo$
88bo69bo103b2o370bo59bob2o173b2o3b4o121b2ob2o3bo$86bobo69bobo102bo368b
obo58bo2bo174b2o129b4ob2obo$87b5ob2o57b2ob5o101bobo369b5ob2o51bo2bo
306bo2b4obo$89bo3b2o57b2o3bo104b5ob2o365bo3b2o51bo180bo2b3obo120b2o2bo
bo$89bo67bo106bo3b2o365bo55b2ob2o176bo4b4o121b3o$92bo61bo109bo373bo
233bo3b2o2bo126b2o$90b2o63b2o110bo368b2o234bo2bo2b2o122b2o2bo2bo$90b3o
61b3o108b2o369b3o52b2o180b2o3b2o122bo$91bo63bo109b3o369bo53b2ob2o177b
2o128bo3b2o$91bobo59bobo110bo370bobo52b2o2bo$92b2o59b2o111bobo369b2o
54b2o176b2o132bo3bo$92bobo57bobo112b2o369bobo231b2o133bobo$94bo57bo
114bobo370bo52b2obo174bob2o134bo$94bo57bo116bo370bo51b5ob3o171b2ob2o
129bo$89b3o2b2o55b2o2b3o111bo170bobobo55bobobo55bobobo70b3o2b2o49b2o3b
obo151bo3bo16b2o3b2o127b5o$264b3o2b2o422bo178bo130bo3b2obo$87b2o69b2o
140bobobo135bo3bo55bo3bo55bo3bo68b2o62bo152bo3bo23bo127bobobo$87bo2bo
65bo2bo102b2o60b3o306bo2bo59b3ob3o175bo124bob2o$86b3ob2o63b2ob3o101bo
2bo34bo22b5o112bobobo55bobobo55bobobo67b3ob2o57bo3bob2o147bobobo19bo3b
3o120b2o2bo$86bo3b2o63b2o3bo100b3ob2o55bo5bo303bo3b2o57bob2ob2o175bo2b
o121b3o$85b3obo2bo61bo2bob3o99bo3b2o33bobo19b4obo112bo3bo55bo3bo55bo3b
o66b3obo2bo56b3o2bo149bo3bo22b3o123bo$85b2obo69bob2o98b3obo2bo56b3o
304b2obo59b2o3b2o176bo$85b5o3b2o57b2o3b5o98b2obo36bo23b3o113bobobo55bo
bobo55bobobo66b5o3b2o51b2o3b2obo149bo3bo22bo$85bo5bo63bo5bo98b5o3b2o
361bo5bo54bobo2bo2b2o173bobobo123b3o$88bo4bo59bo4bo101bo5bo33bo333bo4b
o52b2o4bobo174bo4bo99bo3bo16b2o2b2o$85bo7bo59bo7bo101bo4bo55b2obo303bo
7bo53b2o3b2o176b2obo123b3o$85b2obo5bo57bo5bob2o98bo7bo57b2o303b2obo5bo
54bob2o178bo102bo3bo22bo$87bo2bo2bo59bo2bo2bo100b2obo5bo57bo305bo2bo2b
o56b2o176bobo131bo$91bo63bo106bo2bo2bo58bo309bo58b2o174b3o105bobobo21b
3o$90b2obo59bob2o109bo57b2obo308b2obo231b3o133b2o$89bo4bo57bo4bo107b2o
bo54bo226bo3bo80bo4bo56b3o280bo3bo22b2o$89b2obobo57bobob2o106bo4bo56bo
244b2o13b2o47b2obobo57b2o112b2o193b2o60bo$89b2o2bo59bo2b2o106b2obobo
52bo227bo3bo15bo2bo5bo5bo2bo46b2o2bo57bo113b3o56b3o107bo3bo23bobo29bo
5bo21bobo$90b3o61b3o107b2o2bo53bobo188b3o7b3o44bo4b4ob4o4bo47b3o59bobo
111bobo193b3o56bo$90b2o63b2o108b3o60b3o180bo15bo22bobo19bo2b2o5b2o2bo
49b2o55bob2o4bo88bo5bo16b2o195bo29bobo3bo23bo$90b2o63b2o108b2o56bo4b3o
181bo4bo3bo4bo44b2o4bobobo4b2o48b2o55b2ob3o2bo112b2o54b2obo134bobo56b
2o$91bobo59bobo84bobo22b2o57b2ob3o181bobo3bo3bo3bobo22bo3bo19b3ob3ob3o
25bobo24bobo54b2o4bo89bobo3bo19bo55b3o134bo30bo3bobo20b3o$266bobo58bo
185bo3bo3bo3bo48b2o7b2o111b2o2bo112bo2bob3o52b2o132bo54bo$70bobo18bo2b
o35bobo19bo2bo84bo3bo84bo187bo3bo28bo3bo55bo3bo22bo2bo53bo2bobo90bo3bo
bo21b3o185b3o31bo5bo14b6o$92b2o59b2o111bo2bo56bo2bo184bo2bo3bo2bo113b
2o54bo4bo119bo186b3o55b3o$70bo3bo18bo36bo3bo18bo86bobo24b2o247b2o3b2o
54b5o28bobo26bo53bo4b2o90bo5bo19b2o55b5o126bob3o31bo5bo16b2o$268bo58b
3o185b3o3b3o54b3o117b3o115bo57b2o2bo124bobo58bo$31bo38bobo18bo38bobo
18bo88bo3bo82bobo248bobo29bo3bo84b2o89bo5bo21bo59bo125bo59bo$30bo3bo
56bo2bo56bo2bo849bo59bo$obobo25bo3bo25bobobo5bo3bo15bo3bo25bobobo5bo3b
o15bo3bo77bobobo3bobo21bo7bo19bobobo27bo7bo87bo3bo26b2o13b2o12bo3bo26b
2o13b2o12bo3bo26b2o13b2o12bo3bo5bobo18b2o13b2o12bo3bo26b2o13b2o72bo36b
obo20bo36bobo90bo7bo23b2o26bo7bo23b2o$31bo2bo56bo2bo56bo2bo107b2o9b2o
47b2o9b2o115bo2bo5bo5bo2bo41bo2bo5bo5bo2bo41bo2bo5bo5bo2bo41bo2bo5bo5b
o2bo41bo2bo5bo5bo2bo108bo2bo56bo2bo121b2o58b2o$2bo28b2o29bo7bobo18b2o
29bo7bobo18b2o81bo27bobo2b3o2bobo19bo27bobo2b3o2bobo85bo3bo25bo4b4ob4o
4bo11bo3bo25bo4b4ob4o4bo11bo3bo25bo4b4ob4o4bo11bo3bo25bo4b4ob4o4bo11bo
3bo25bo4b4ob4o4bo71bo37bobo19bo37bobo89bobo3bobo51bobo3bobo$32b2o58b2o
58b2o109b3ob3ob3o49b3ob3ob3o118bo2b2o5b2o2bo45bo2b2o5b2o2bo45bo2b2o5b
2o2bo45bo2b2o5b2o2bo45bo2b2o5b2o2bo113b2o58b2o119b2o58b2o$2bo29b6o24bo
29b6o24bo29b6o76bo29bobo3bobo21bo29bobo3bobo87bobo28b2o4bobobo4b2o12bo
bo28b2o4bobobo4b2o12bobo28b2o4bobobo4b2o12bobo28b2o4bobobo4b2o12bobo
28b2o4bobobo4b2o72bo35bo2b2o19bo35bo2b2o89bo3bo3bo21bo29bo3bo3bo21bo$
32b4o56b4o56b4o107b2o7b2o49b2o7b2o120b3ob3ob3o49b3ob3ob3o49b3ob3ob3o
49b3ob3ob3o49b3ob3ob3o111bo3b2o54bo3b2o$2bo31b2o26bo31b2o26bo31b2o74bo
3bo28b2o7b2o16bo3bo28b2o7b2o86bo3bo29b2o7b2o15bo3bo29b2o7b2o15bo3bo29b
2o7b2o15bo3bo29b2o7b2o15bo3bo29b2o7b2o75bo33b3o23bo33b3o93bo7bo21b2ob
3o24bo7bo21b2ob3o$30bobob2o54bobob2o54bobob2o108bo7bo51bo7bo480b2o58b
2o130bobo57bobo$obobo26b2o27bobobo26b2o27bobobo26b2o79bo29bobo7bobo17b
o29bobo7bobo85bo3bo55bo3bo55bo3bo55bo3bo55bo3bo115bobobo31b2o22bobobo
31b2o92bo7bo27bobo21bo7bo27bobo$31b2o3b3o52b2o3b3o52b2o3b3o102bo13bo
45bo13bo121b5o55b5o55b5o55b5o55b5o110bobo57bobo131bobo57bobo$32b2o2bob
o53b2o2bobo53b2o2bobo103b3o7b3o47b3o7b3o123b3o57b3o57b3o57b3o57b3o117b
o59bo127bobo57bobo$29b2ob2o2bobo50b2ob2o2bobo50b2ob2o2bobo106bobobobo
53bobobobo126b3o57bobo57b3o57b3o57b3o113b4o56b4o125b2ob2o55b2ob2o$29b
2o2bo55b2o2bo55b2o2bo111bobobobo53bobobobo478bo8bo50bo8bo126b2o58b2o$
30bobo5bo51bobo5bo51bobo5bo106bo5bo53bo5bo125b2ob2o49b2o13b2o49b2ob2o
55b2ob2o55b2ob2o108bo3b2o54bo3b2o126b4o2bo53b4o2bo$31bobo2b2o53bobo2b
2o53bobo2b2o103b2o2bobobobo2b2o45b2o2bobobobo2b2o121b2ob2o28bo3bo15bo
2bo5bo5bo2bo48b2ob2o55b2ob2o55b2ob2o109bo3bo2b3o50bo3bo2b3o125bobo57bo
bo$30bo3bobobo51bo3bobobo51bo3bobobo102b2o11b2o45b2o11b2o120b3ob3o47bo
4b4ob4o4bo47b3ob3o53b3ob3o53b3ob3o115bo59bo127bo59bo$30b2obo4bo51b2obo
4bo51b2obo4bo102b3o9b3o45b3o9b3o120b2o3b2o27bo3bo17bo2b2o5b2o2bo49b2o
3b2o53b2o3b2o53b2o3b2o108b3o5b2o50b3o5b2o125bobo57bobo$28bo2b2o3bo51bo
2b2o3bo51bo2b2o3bo106bo9bo49bo9bo120b2obo3bob2o46b2o4bobobo4b2o46b2obo
3bob2o49b2obo3bob2o49b2obo3bob2o106b3o5b2o50b3o5b2o122bo5b2o52bo5b2o$
36bobo57bobo57bobo104bo9bo49bo9bo119bo4bobo4bo24bobo21b3ob3ob3o48bo4bo
bo4bo47bo4bobo4bo47bo4bobo4bo86bobo17b2o58b2o127b2ob3ob3o50b2ob3ob3o$
31b4o2bo53b4o2bo53b4o2bo104b2o9b2o47b2o9b2o119bobobobobobo49b2o7b2o49b
obobobobobo49bobobobobobo49bobobobobobo112bo59bo126b2o4b2o52b2o4b2o$
29bob3o55bob3o55bob3o108bo11bo47bo11bo116b2o2b2obobob2o2b2o22bo3bo76b
2o2b2obobob2o2b2o43b2o2b2obobob2o2b2o43b2o2b2obobob2o2b2o82bo25b3o57b
3o130b2o58b2o$32b2obo56b2obo56b2obo105bobo9bobo45bobo9bobo121b2ob2o
115b2ob2o55b2ob2o55b2ob2o113bo2bobo54bo2bobo127b3o57b3o$34b2ob2o55b2ob
2o55b2ob2o102bobo9bobo45bobo9bobo119b3o3b3o26bo3bo22b5o53b3o3b3o51b3o
3b3o51b3o3b3o86bo23bo2bo2bo53bo2bo2bo$34b2o58b2o58b2o105b3o9b3o45b3o9b
3o118b3o5b3o53b3o53b3o5b3o49b3o5b3o49b3o5b3o114bo59bo128b3o57b3o$36bob
o57bobo57bobo104bo9bo49bo9bo120bo2bo3bo2bo53b3o53bo2bo3bo2bo49bo2bo3bo
2bo49bo2bo3bo2bo85bo27bo59bo129b2o58b2o$38bo59bo59bo298bo3bo115bo3bo
55bo3bo55bo3bo113bo59bo132bo59bo$260b2o13b2o43b2o13b2o118bo7bo53b2ob2o
53bo7bo51bo7bo51bo7bo88bobo212bob2o56bob2o$33b3o57b3o57b3o105b2obo7bob
2o45b2obo7bob2o119b3o3b3o53b2ob2o53b3o3b3o51b3o3b3o51b3o3b3o112b3o57b
3o125b2obo56b2obo$31b3o2b3o52b3o2b3o52b3o2b3o105bo7bo51bo7bo183b3ob3o
295bo59bo124bo2bobo2bo51bo2bobo2bo$32b2o3b2o53b2o3b2o53b2o3b2o103bo3bo
3bo3bo47bo3bo3bo3bo181b2o3b2o295b2o58b2o123bo2bo4bo51bo2bo4bo$30bo2bo
56bo2bo56bo2bo113bobo57bobo122b2ob3o3b3ob2o47b2obo3bob2o47b2ob3o3b3ob
2o45b2ob3o3b3ob2o45b2ob3o3b3ob2o111b3o57b3o123b2o58b2o$30bo2bo56bo2bo
56bo2bo113bobo57bobo122b2obo2bobo2bob2o46bo4bobo4bo46b2obo2bobo2bob2o
45b2obo2bobo2bob2o45b2obo2bobo2bob2o111b2o58b2o124bob4o54bob4o$30b3o
57b3o57b3o112bobobobo53bobobobo125bo3bo52bobobobobobo52bo3bo55bo3bo55b
o3bo301bo59bo$264b2obobob2o51b2obobob2o119b2ob2o5b2ob2o44b2o2b2obobob
2o2b2o44b2ob2o5b2ob2o45b2ob2o5b2ob2o45b2ob2o5b2ob2o295bobo3b2o52bobo3b
2o$130bo3bo132bobo57bobo123bo11bo51b2ob2o51bo11bo47bo11bo47bo11bo295bo
2bobo54bo2bobo$152bo110bo3bobo3bo49bo3bobo3bo122b2o3b2o52b3o3b3o52b2o
3b2o53b2o3b2o53b2o3b2o110bo6bo52bo6bo121bob3o55bob3o$10bobo19b2o36bobo
19b2o36bo3bo15bo2bo113bobo57bobo125b2obobob2o50b3o5b3o50b2obobob2o51b
2obobob2o51b2obobob2o108bob6obo50bob6obo124bo2bo56bo2bo$31b2o58b2o3bo
53bo2bo110bobo3bobo51bobo3bobo122b2obobob2o50bo2bo3bo2bo50b2obobob2o
51b2obobob2o51b2obobob2o108b2o6b2o50b2o6b2o125b3o57b3o$10bo3bo55bo3bo
13bo7b2o32bobobo15bob2o110b2o5b2o51b2o5b2o123bobobobo54bo3bo54bobobobo
53bobobobo53bobobobo113b2o58b2o124b2o58b2o$29bo2bo55bo3bo4b2o55b2o106b
3o7b3o47b3o7b3o123bobo54bo7bo54bobo57bobo57bobo114b4o56b4o123b2o58b2o$
10bobo16bo2bo37bo3bo14bo2b2o36bo3bo19b2o104b2o2b2o5b2o2b2o43b2o2b2o5b
2o2b2o118b3o3b3o51b3o3b3o51b3o3b3o51b3o3b3o51b3o3b3o110b2o2b2o54b2o2b
2o128bob2o56bob2o$29bobo60b3o60bo300bo5bo113bo5bo53bo5bo53bo5bo303bobo
57bobo$10bo3bo55bo3bo19bo35bo3bo21bo104bo13bo45bo13bo115b2o4bo3bo4b2o
103b2o4bo3bo4b2o43b2o4bo3bo4b2o43b2o4bo3bo4b2o295b2obobobo52b2obobobo$
94b2o59bo2bo102bo13bo45bo13bo118bob3ob3obo47b2ob3o3b3ob2o47bob3ob3obo
49bob3ob3obo49bob3ob3obo109b2o2b2o54b2o2b2o123b2obobobo52b2obobobo$10b
obo57bobo20bobo59bo3bo101bo13bo45bo13bo118bobobobobobo47b2obo2bobo2bob
2o47bobobobobobo49bobobobobobo49bobobobobobo109b2o2b2o54b2o2b2o123b2ob
o56b2obo$29b8o54b2obobo59bo297bo9bo52bo3bo52bo9bo49bo9bo49bo9bo108b2o
4b2o52b2o4b2o124bo2b2o55bo2b2o$28bob6obo56bo62bobo292bo13bo45b2ob2o5b
2ob2o45bo13bo45bo13bo45bo13bo107bob2obo54bob2obo121b2o3bobo52b2o3bobo$
28b3o4b3o56b3o60bo293bo3bo7bo3bo45bo11bo45bo3bo7bo3bo43bo3bo7bo3bo43bo
3bo7bo3bo106b2o2b2o54b2o2b2o121bobo2b2o53bobo2b2o$31bo2bo57b2ob2o358bo
7bo52b2o3b2o52bo7bo51bo7bo51bo7bo297b3o3b2o52b3o3b2o$30bo4bo56bo2b2o
59b3o295bo4bo4bo50b2obobob2o50bo4bo4bo49bo4bo4bo49bo4bo4bo300bo3b2o54b
o3b2o$30b2o2b2o57bo358bobo3bobo3bobo48b2obobob2o48bobo3bobo3bobo45bobo
3bobo3bobo45bobo3bobo3bobo102b2o12b2o44b2o12b2o120b6o54b6o$96b2o57b2o
294b2o3bo5bo3b2o48bobobobo48b2o3bo5bo3b2o43b2o3bo5bo3b2o43b2o3bo5bo3b
2o100b3o4bo2bo4b3o42b3o4bo2bo4b3o$94bo3bo54bob2o294b5obo3bob5o50bobo
50b5obo3bob5o43b5obo3bob5o43b5obo3bob5o101bobo3bo2bo3bobo44bobo3bo2bo
3bobo$30b2o2b2o59bobo54bo301b2obobobob2o50b3o3b3o50b2obobobob2o49b2obo
bobob2o49b2obobobob2o105b2o3bo2bo3b2o46b2o3bo2bo3b2o$151bo3bo302b3o55b
o5bo55b3o57b3o57b3o110b2o8b2o48b2o8b2o126bo59bo$29bo2b2o2bo115b2o305bo
51b2o4bo3bo4b2o51bo59bo59bo113bo6bo52bo6bo127b3o57b3o$32b2o57b8o415bob
3ob3obo285bo2b8o2bo46bo2b8o2bo121b2o2bo55b2o2bo$30b6o54bob6obo51bo362b
obobobobobo285bo3b2o2b2o3bo46bo3b2o2b2o3bo121b2ob2o55b2ob2o$90b3o4b3o
50b2o362bo9bo480b2o58b2o$93bo2bo53bo361bo13bo288bo2bo56bo2bo127bo59bo$
24bobo12bobo50bo4bo50b3o360bo3bo7bo3bo286bo4bo54bo4bo$24bo2bo10bo2bo
50b2o2b2o417bo7bo291b4o56b4o$24bo2bo2b6o2bo2bo106bo4bo360bo4bo4bo288bo
6bo52bo6bo122bo6bo52bo6bo$148bo4b3o356bobo3bobo3bobo284b3o6b3o48b3o6b
3o119bobob2obobo50bobob2obobo$26b3o8b3o52b2o2b2o51bobo3bo355b2o3bo5bo
3b2o283bobo6bobo48bobo6bobo119b2o2b2o2b2o50b2o2b2o2b2o$27bobob4obobo
114bo357b5obo3bob5o285bo6bo52bo6bo125b2o58b2o$29bo2b2o2bo54bo2b2o2bo
53b5o357b2obobobob2o285b2o10b2o46b2o10b2o$29bo6bo57b2o57bo2bo361b3o
483b2o2b2o54b2o2b2o$30b2o2b2o56b6o56b3o362bo484b2o2b2o54b2o2b2o$150b2o
2b3o848b4o56b4o$30bo4bo114b3o3bo848bo2bo56bo2bo$30b6o50bobo12bobo49bo
2bo847bo4bo54bo4bo$29b2ob2ob2o49bo2bo10bo2bo46bo7bo845bo4bo54bo4bo$27b
ob2o4b2obo47bo2bo2b6o2bo2bo49b3obo846bob2obo54bob2obo$27bob2o4b2obo
110bob2o2bobo847bo2bo56bo2bo$26b2o10b2o48b3o8b3o47bo2bo3bo848bo2bo56bo
2bo$89bobob4obobo51bo$91bo2b2o2bo50bo3b2o844bo14bo44bo14bo$91bo6bo51bo
2b2o844b2o4bo2bo4b2o44b2o4bo2bo4b2o$92b2o2b2o52b2obo845bo5b4o5bo44bo5b
4o5bo$152bo847b2o4b2o4b2o46b2o4b2o4b2o$92bo4bo52b3o848bo10bo48bo10bo$
92b6o901bobo10bobo44bobo10bobo$91b2ob2ob2o53bo847b5o4b5o46b5o4b5o$89bo
b2o4b2obo50bobo848bo2b4o2bo50bo2b4o2bo$89bob2o4b2obo49bo850bo4b2o4bo
48bo4b2o4bo$88b2o10b2o49bobo851bo2bo56bo2bo$150bo855b2o58b2o$149b3o
851b2ob2ob2o52b2ob2ob2o$149b3o$1002bo8bo50bo8bo$151b4o846b3o6b3o48b3o
6b3o$150b6o845bo2bo4bo2bo48bo2bo4bo2bo$149b8o843b2o10b2o46b2o10b2o$
148b2o6b2o3$150bo4bo$150b2o2b2o3$151b4o$151bo2bo$150bo4bo$151b4o$150b
2o2b2o$151b4o$152b2o$144b3o5b2o5b3o$144b3o4bo2bo4b3o$145b2o3bo4bo3b2o$
146bobo8bobo$145bo14bo$146bo2bobo2bobo2bo$149bo6bo$149bob4obo$149bo6bo
$149b2ob2ob2o$150bob2obo3$148b2o6b2o$146b2obo6bob2o$146b4o6b4o$147bo
10bo6$192bobobo$215b2o58b2o$190bo23b2obo56b2obo$213bobo2bo54bobo2bo$
190bo3bobo15bo4bo54bo4bo$211bo3b4o52bo3b4o$190bo5bo13bob2ob2obo51bob2o
b2obo$211bo2bob2o53bo2bob2o$192bobobo19bo59bo$213b2obo56b2obo$o5bo24b
2o27bo5bo24b2o87bobo28bo28bobo28bo$30b3o57b3o118bo5bo53bo5bo$obo3bo24b
obo26bobo3bo24bobo86bo3bo26b4ob2o22bo3bo26b4ob2o$32b2o58b2o123bo59bo$o
3bobo26b2o25bo3bobo26b2o85bobo57bobo$35bo59bo121b3o57b3o$o5bo25bo2bob
3o20bo5bo25bo2bob3o80bo59bo$37b3o57b3o114bo4bo54bo4bo$o5bo31bo21bo5bo
31bo81bo32bobo3b2o19bo32bobo3b2o$35b2o58b2o116bobo3b2o52bobo3b2o$35bo
59bo117b2o58b2o$37bo59bo114bobo57bobo$211bob2o56bob2o$36bobo57bobo111b
2obobo54b2obobo$10bo25bo2bo56bo2bo110b2o3bob2o51b2o3bob2o$37bobo57bobo
112bo2bob2o53bo2bob2o$10bo28b2o58b2o112bob2o56bob2o$35bo2b2o58b2o112bo
2bo56bo2bo$10bo24bo3b2o55bo2b2o110bo2bo56bo2bo$33b3o58bobo114bo59bo$
10bo21b2o59bo116b2ob2o55b2ob2o$35b2o54b2o3bo$10bobobo16bobo57b2o$37bo
54bob2o114b2o58b2o$33b4o33bo7bo12b2o117b2ob2o55b2ob2o$29bo8bo52b3o2b2o
113b2o2bo55b2o2bo$29bo3b2o35bobo3bobo14bobo2bo114b2o58b2o$30bo3bo2b3o
53b2o2bo$37bo32bo3bo3bo14b4o115b2obo56b2obo$30b3o5b2o53bo2b2o113b5ob3o
51b5ob3o$30b3o5b2o30bo7bo12b2ob2ob2o111b2o3bobo52b2o3bobo$31b2o58bo2bo
3bo113bo59bo$36bo33bo7bo12b2o2bobo118bo59bo$35b3o54bo122b3ob3o53b3ob3o
$34bo2bobo51bo122bo3bob2o52bo3bob2o$33bo2bo2bo174bob2ob2o53bob2ob2o$
38bo52bo122b3o2bo54b3o2bo$37bo51b2ob2o119b2o3b2o53b2o3b2o$34bo55b2obo
117b2o3b2obo51b2o3b2obo$91bobobo115bobo2bo2b2o50bobo2bo2b2o$35b3o52b2o
bob2o114b2o4bobo51b2o4bobo$37bo54bo4bo114b2o3b2o53b2o3b2o$37b2o54b3ob
2o115bob2o56bob2o$37b3o52bo5bo116b2o58b2o$37b2o53b3o3bo116b2o58b2o$93b
o4bo$98b2o116b3o57b3o$93bo4b2o117b2o58b2o$32bo6bo52bo3b3o117bo59bo$31b
ob6obo50bo2b2o121bobo57bobo$31b2o6b2o50bobo118bob2o4bo51bob2o4bo$35b2o
54b3o3b2o113b2ob3o2bo51b2ob3o2bo$34b4o54bo4b2o114b2o4bo53b2o4bo$33b2o
2b2o51b3o122b2o2bo55b2o2bo$90bobob3o116bo2bobo54bo2bobo$91bo2bob2o115b
o4bo54bo4bo$33b2o2b2o55bobobo113bo4b2o53bo4b2o$33b2o2b2o52b2obo122b3o
57b3o$32b2o4b2o59bo118b2o58b2o$33bob2obo52b2o6bo178b2o$33b2o2b2o55bo2b
o2bo89bo3bo15b2o13b2o$91b4o4bo109bo2bo5bo5bo2bo50bo$90bo7bo91bo3bo14bo
4b4ob4o4bo49bo$28b2o12b2o46bo5bo114bo2b2o5b2o2bo47b4o$27b3o4bo2bo4b3o
46bo3bo94bobo17b2o4bobobo4b2o45b3ob2o$28bobo3bo2bo3bobo48b2o119b3ob3ob
3o48bo3b2o$29b2o3bo2bo3b2o48bo98bo3bo18b2o7b2o48bo2bo$30b2o8b2o48bobo
180bobo$32bo6bo50bob2o96bo3bo78bo$29bo2b8o2bo49b2obo120b5o50b2o$29bo3b
2o2b2o3bo52bo121b3o51b2o5b2o$95bo121b3o58bo$34bo2bo236b4o$33bo4bo177b
2ob2o54bo2b3o$34b4o178b2ob2o52bobobob2o$32bo6bo50b8o117b3ob3o50bo2bo4b
2o$30b3o6b3o47bob6obo116b2o3b2o51b2o$30bobo6bobo47b3o4b3o114b2obo3bob
2o52b3o$32bo6bo52bo2bo116bo4bobo4bo51b3o$29b2o10b2o48bo4bo116bobobobob
obo51b2o$91b2o2b2o113b2o2b2obobob2o2b2o46b3o$216b2ob2o51bo$214b3o3b3o
50b3o$91b2o2b2o116b3o5b3o48bo4bo$213bo2bo3bo2bo50b5o$90bo2b2o2bo118bo
3bo53b2o3bo$93b2o119bo7bo55bo$91b6o117b3o3b3o$274b3o$275b2o$85bobo12bo
bo108b2ob3o3b3ob2o$85bo2bo10bo2bo108b2obo2bobo2bob2o49bo$85bo2bo2b6o2b
o2bo113bo3bo53b3o$211b2ob2o5b2ob2o48b2o$87b3o8b3o111bo11bo$88bobob4obo
bo115b2o3b2o54bo$90bo2b2o2bo116b2obobob2o50b2o2bo$90bo6bo116b2obobob2o
50b3o$91b2o2b2o118bobobobo55bo$217bobo$91bo4bo117b3o3b3o52bob2o$91b6o
118bo5bo53b3o$90b2ob2ob2o112b2o4bo3bo4b2o46b4o$88bob2o4b2obo113bob3ob
3obo48b2o$88bob2o4b2obo113bobobobobobo50bo$87b2o10b2o112bo9bo50bo$211b
o13bo49b2o$210bo3bo7bo3bo48b2o$214bo7bo51b3o$213bo4bo4bo47b3o$211bobo
3bobo3bobo46bob2o$210b2o3bo5bo3b2o45bo$210b5obo3bob5o49bo$213b2obobobo
b2o50bo$217b3o$218bo$252bo19bo6bo$271bob6obo$250bo3bo16b2o6b2o$275b2o$
250bobobo19b4o$273b2o2b2o$250bo3bo2$250bo3bo18b2o2b2o$273b2o2b2o$272b
2o4b2o$273bob2obo$273b2o2b2o3$268b2o12b2o$267b3o4bo2bo4b3o$268bobo3bo
2bo3bobo$269b2o3bo2bo3b2o$270b2o8b2o$272bo6bo$269bo2b8o2bo$269bo3b2o2b
2o3bo2$274bo2bo$273bo4bo$274b4o$272bo6bo$270b3o6b3o$270bobo6bobo$272bo
6bo$269b2o10b2o!
Edit: not all the connections will necessarily fit in a width 12 envelope; in a few cases I tried reflecting a connection to see if it would still work and a few connections were found manually rather than in the search results.
-- Andrew Wade

HartmutHolzwart
Posts: 840
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » March 8th, 2020, 12:47 pm

Another c/4 grey ship using stabilized by ants.

Code: Select all

x = 261, y = 258, rule = B3/S23
10$168bobo$167bo2bo$166bo3bo$165b2o$162bobob2o$161bo$161bo2b2obo$158bo
bobo4b2obo$153bo2b2ob3o8bo$151b2o7bo$153bo3b2o$155b2o2$157b3o$156bob2o
$152bobobo$152bo3bo$152bobob3o$156b2o2$158bo$158bobo$28b2o128bobo$26bo
2bo39bo$29b2o36b2o89b3o$20bo2b2ob2ob3o35b2o13bo75b2o$19bo2bo3bo3b2o29b
o7bo6bobo2bob2obo65bo3b2obo$20bo8bo16b2o12b2o3b2o2b2o4bo3bo3b2ob2o14bo
48b6o$21b2o2bo3bobo14b3o14b2o2bobo5bo2b2o6b2o9b2ob2o$21bo2bo4bo9bobo3b
ob2o9bo2bo3bo2bo2bo2bo3bo3bo3bo9b3o52b2obo3b2o$20b2o11bo5bobobo2bo15bo
bo3b2o4bo2bo3bo3bo2b3o6bob4o47bo3bo2b3o$20bo10b2o5bo3b2ob3o9b2ob2o2bo
2bo5b2o3bo2bo4bo3b2ob2o3bob2o47bo3bo2b4o$21bobo9b3ob3o3b2o2bobo4bobo4b
3o6bo2b2obo5bo3bobo10b2obo47bo3b4o$34b3o2b2o6bobob2o2bo9b2o4bo2b4o14bo
3bo4bo53bo$22bo27bobobo17bobo2bobob4o9b4o53b2o$21b3o10b2o3bo11b2obo18b
o4bo3b4o9b3o52bo$34b2o3bo3bo8b3obo28bo63bo3bo$21b2o13bo2bo3bo10b2o92bo
3bo$21bob2o16bobo103b2o$20bo4bo121b2obo$20bo126b2obo2bo$21bo2b2o122bob
2obo$23b3o124bo$20b2o2bo123b2o$15bob2o4bo124bo$15bo3bo130b3o$15bo3bobo
128b3o$17bo3bo$13b2o4bobobo$13b2o4b2ob2o123b4o$13b2o7b2o122bo18b2obo$
14bo6b3o123b3obo12bo3bo$15b2o4b2o125b2obob2o8b2o3bo$17b3o132bo2bo7bobo
$16b4o2bo128bo10b2obo12b2obo$13b2o4bo131b2obo8b5o9bo3bo$14bob2o2b2obo
50bo14bo60b4o11b2obo7b2o3bo$15bo3b4o48bo2bo5b4o4bobo58b3o14bo2bo6bobo$
17b3o2bo19b3o26bo2bo4bo3b2o2b2o79bo6b2obo12b2obo$20bo3bo17b3o17bo3bo2b
o6b2obo2bobo4bo59bob3o12b3o7b5o9bo3bo$17bo20b2o5b2o2bo6bo5b4obob3o2b2o
9bo63b2o14b2o11b2obo7b2o3bo$18b4o10bo5b2ob2ob4obo5b2o3b5ob3ob2obo4bob
2o3b2o65bo12b3o11bo2bo6bobo$18b4o2bo6b2o3bo2b2o3b3o7bo4bo4b3o5bo2bo3b
3o3b2o61bobo14b2o2bo11bo6b2obo12b2obo$18bo3bo5bo4bo5bo7b5obo3b3o13bobo
4b2o66bo16bo3bo9b3o7b5o9bo3bo$16b3o3bobo3bo2bo2b2obobo13bobo8bobo81b2o
28b2o11b2obo7b2o3bo$15bo7b2o3bobo3b2o3bobo5b2obo6bo3bobo2b2obo79b2o13b
o13b3o11bo2bo6bobo$20b2ob4ob2o4b2o3bo8bobo2b9o7bo80b2o12bo2bo10b2o2bo
11bo6b2obo12b2obo$16b2o2bob5obo7bobo15b2o4b2o89b4o9bo2bo10bo3bo9b3o7b
5o9bo3bo$18bobob3o5b2o5bo117bo10bo24b2o11b2obo7b2o3bo$26bobob2o119bo
12b2o11bo13b3o11bo2bo6bobo$25bo2bo121b2o3bo8b2o11bo2bo10b2o2bo11bo6b2o
bo12b2obo$20b2o2bob3o120bob2o24bo2bo10bo3bo9b3o7b5o9bo3bo$19b3obo2bo
121bo7bo6bobo13bo24b2o11b2obo7b2o3bo$20b2o6b2o117bobo2bo2b2o6bobo11b2o
11bo13b3o11bo2bo6bobo$24b3o6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2ob2obo2bo2bo7bobo11b
2o11bo2bo10b2o2bo11bo6b2obo$28bob2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3bo4bo3b2obo5bo
26bo2bo10bo3bo9b3o7b5o$28bob2ob3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o
2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o4bo2b2ob2o5bo12bob
o13bo24b2o11b2obo$29bo116bo4bo8bo3bo11bobo11b2o11bo13b3o11bo2bo$30b
133obobo9bobo11b2o11bo2bo10b2o2bo11bo$164bobo2b2o5bo26bo2bo10bo3bo9b3o
$30b136o3b2o5bo12bobo13bo24b2o$23bo2bo2bo135bo7bo3bo11bobo11b2o11bo13b
3o$23bo2bobob146obobo9bobo11b2o11bo2bo10b2o2bo$22b2o153bobo2b2o5bo26bo
2bo10bo3bo$23bob2ob151o3b2o5bo12bobo13bo$23bo154bo7bo3bo11bobo11b2o11b
o$23bob2ob161obobo9bobo11b2o11bo2bo$22b2o166bobo2b2o5bo26bo2bo$23bo2bo
bob162o3b2o5bo12bobo13bo$23bo2bo2bo161bo7bo3bo11bobo11b2o$30b172obobo
9bobo11b2o$203bobo2b2o5bo$30b175o3b2o5bo12bobo$23bo2bo2bo174bo7bo3bo
11bobo$23bo2bobob185obobo9bobo$22b2o192bobo2b2o5bo$23bob2ob190o3b2o5bo
$23bo193bo7bo3bo18bobo$23bob2ob200obobo12b3obobo$22b2o205bobo2b2o5b3ob
o4bo$23bo2bobob201o3b2o4b2o3bo$23bo2bo2bo200bo7bo5bo$30b211o2$30b211o$
23bo2bo2bo200bo7bo5bo$23bo2bobob201o3b2o4b2o3bo$22b2o205bobo2b2o5b3obo
4bo$23bob2ob200obobo12b3obobo$23bo193bo7bo3bo18bobo$23bob2ob190o3b2o5b
o$22b2o192bobo2b2o5bo$23bo2bobob185obobo9bobo$23bo2bo2bo174bo7bo3bo11b
obo$30b175o3b2o5bo12bobo$203bobo2b2o5bo$30b172obobo9bobo11b2o$23bo2bo
2bo161bo7bo3bo11bobo11b2o$23bo2bobob162o3b2o5bo12bobo13bo$22b2o166bobo
2b2o5bo26bo2bo$23bob2ob161obobo9bobo11b2o11bo2bo$23bo154bo7bo3bo11bobo
11b2o11bo$23bob2ob151o3b2o5bo12bobo13bo$22b2o153bobo2b2o5bo26bo2bo10bo
3bo$23bo2bobob146obobo9bobo11b2o11bo2bo10b2o2bo$23bo2bo2bo135bo7bo3bo
11bobo11b2o11bo13b3o$30b136o3b2o5bo12bobo13bo24b2o$164bobo2b2o5bo26bo
2bo10bo3bo9b3o$30b133obobo9bobo11b2o11bo2bo10b2o2bo11bo$29bo116bo4bo8b
o3bo11bobo11b2o11bo13b3o11bo2bo$28bob2ob3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o
2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o4bo2b2ob2o
5bo12bobo13bo24b2o11b2obo$28bob2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3bo4bo3b2obo5bo26b
o2bo10bo3bo9b3o7b5o$24b3o6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2ob2obo2bo2bo7bobo11b2o
11bo2bo10b2o2bo11bo6b2obo$20b2o6b2o117bobo2bo2b2o6bobo11b2o11bo13b3o
11bo2bo6bobo$19b3obo2bo121bo7bo6bobo13bo24b2o11b2obo7b2o3bo$20b2o2bob
3o120bob2o24bo2bo10bo3bo9b3o7b5o9bo3bo$25bo2bo121b2o3bo8b2o11bo2bo10b
2o2bo11bo6b2obo12b2obo$26bobob2o119bo12b2o11bo13b3o11bo2bo6bobo$18bobo
b3o5b2o5bo117bo10bo24b2o11b2obo7b2o3bo$16b2o2bob5obo7bobo15b2o4b2o89b
4o9bo2bo10bo3bo9b3o7b5o9bo3bo$20b2ob4ob2o4b2o3bo8bobo2b9o7bo80b2o12bo
2bo10b2o2bo11bo6b2obo12b2obo$15bo7b2o3bobo3b2o3bobo5b2obo6bo3bobo2b2ob
o79b2o13bo13b3o11bo2bo6bobo$16b3o3bobo3bo2bo2b2obobo13bobo8bobo81b2o
28b2o11b2obo7b2o3bo$18bo3bo5bo4bo5bo7b5obo3b3o13bobo4b2o66bo16bo3bo9b
3o7b5o9bo3bo$18b4o2bo6b2o3bo2b2o3b3o7bo4bo4b3o5bo2bo3b3o3b2o61bobo14b
2o2bo11bo6b2obo12b2obo$18b4o10bo5b2ob2ob4obo5b2o3b5ob3ob2obo4bob2o3b2o
65bo12b3o11bo2bo6bobo$17bo20b2o5b2o2bo6bo5b4obob3o2b2o9bo63b2o14b2o11b
2obo7b2o3bo$20bo3bo17b3o17bo3bo2bo6b2obo2bobo4bo59bob3o12b3o7b5o9bo3bo
$17b3o2bo19b3o26bo2bo4bo3b2o2b2o79bo6b2obo12b2obo$15bo3b4o48bo2bo5b4o
4bobo58b3o14bo2bo6bobo$14bob2o2b2obo50bo14bo60b4o11b2obo7b2o3bo$13b2o
4bo131b2obo8b5o9bo3bo$16b4o2bo128bo10b2obo12b2obo$17b3o132bo2bo7bobo$
15b2o4b2o125b2obob2o8b2o3bo$14bo6b3o123b3obo12bo3bo$13b2o7b2o122bo18b
2obo$13b2o4b2ob2o123b4o$13b2o4bobobo$17bo3bo$15bo3bobo128b3o$15bo3bo
130b3o$15bob2o4bo124bo$20b2o2bo123b2o$23b3o124bo$21bo2b2o122bob2obo$
20bo126b2obo2bo$20bo4bo121b2obo$21bob2o16bobo103b2o$21b2o13bo2bo3bo10b
2o92bo3bo$34b2o3bo3bo8b3obo28bo63bo3bo$21b3o10b2o3bo11b2obo18bo4bo3b4o
9b3o52bo$22bo27bobobo17bobo2bobob4o9b4o53b2o$34b3o2b2o6bobob2o2bo9b2o
4bo2b4o14bo3bo4bo53bo$21bobo9b3ob3o3b2o2bobo4bobo4b3o6bo2b2obo5bo3bobo
10b2obo47bo3b4o$20bo10b2o5bo3b2ob3o9b2ob2o2bo2bo5b2o3bo2bo4bo3b2ob2o3b
ob2o47bo3bo2b4o$20b2o11bo5bobobo2bo15bobo3b2o4bo2bo3bo3bo2b3o6bob4o47b
o3bo2b3o$21bo2bo4bo9bobo3bob2o9bo2bo3bo2bo2bo2bo3bo3bo3bo9b3o52b2obo3b
2o$21b2o2bo3bobo14b3o14b2o2bobo5bo2b2o6b2o9b2ob2o$20bo8bo16b2o12b2o3b
2o2b2o4bo3bo3b2ob2o14bo48b6o$19bo2bo3bo3b2o29bo7bo6bobo2bob2obo65bo3b
2obo$20bo2b2ob2ob3o35b2o13bo75b2o$29b2o36b2o89b3o$26bo2bo39bo$28b2o
128bobo$158bobo$158bo2$156b2o$152bobob3o$152bo3bo$152bobobo$156bob2o$
157b3o2$155b2o$153bo3b2o$151b2o7bo$153bo2b2ob3o8bo$158bobobo4b2obo$
161bo2b2obo$161bo$162bobob2o$165b2o$166bo3bo$167bo2bo$168bobo!

mscibing
Posts: 105
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » March 18th, 2020, 5:49 pm

The width 12 (1,0)c/6 search was a success. It showed up last night but I didn't realize it was a spaceship until today.

Code: Select all

#N 409P6H1V0
#C Width 12 asymmetric spaceship.
#C Found by Andrew J. Wade using life_slice_ship_search 2020-03-18
#C [[ TRACK 0 -1/6 ]]
x = 12, y = 163, rule = B3/S23
5b2o$7bobo$4bo3bob2o$5b5o3$7bo$6bobo$2bo2bo$b2o2bo$bo3bo$5bo3bo$6bobo$
8bo$4bob2o$3bo4bo$3bo3bo$2bo$2b2o$2b2o2b2o$6b2o$5bo2bo$6b2o$9bo$6bobo$
6bo3b2o$7b4o3$4b4obo$4bo5bo$10bo$4bo4bo$4b6o$4bo2b2o$4bo$4bo2$4bo$3bob
o$3bo2b4o$3bob3o$10bo$5b2o3bo$10bo$b2obo$b2o2bo$2bobobo$5b3o$4b3o$5bo
2bo$5b2o2bo$9bo$6bobobo2$6b2o$6b2o$5bob2o$6b3o$8bo$8bobo$5b3o$6b2ob2o$
9bo$7b2o$8bo$5b3o$5bo3bo$5b2o2$6bo$6bobo$2b3o2b3o$bo3b2ob2o$5b5o$2bo$
4bobo$6b2o$4b3o$3bob2o$2b2obob2o$2bo4b3o$b3o6bo$o8bo$bobo3bo$3bob2o2$
7b4o$6b2o2bo$5bobobo$4b2obob2o$2b2ob2o2b2o$7bobo$bo2bo4bo$7bo$2b2o2b2o
$2b3obo$2bo2b2ob2o$4bo4bo$b2o2b2obo2$7bo$7bo2bo$7bo2bo$8bobo$8bo$6b2o$
6b2o2bo$6b2obo$6bo$4b4o$9bo$4b2o$7bobo$7bobo$6bob2o$6bo$6bo2$7bobo$2b
2o2b3o$3bob2o$3b2obo$4b2o$3bo$3bobo$2bo3bo$bo2b3o$bo2$5bob2o$3b2o2b3o$
5b3o2bo$5bo5bo$4b2o3b2o$5b2o$3bo3bo$3bo4bo$4bo3bo$4bo2bo2$3b2o2b2o$3b
2o2b2o$b2o6b2o$ob2o4b2obo$o10bo$bo8bo$2o2b4o2b2o$bobo4bobo$2b2o4b2o$bo
3b2o3bo$bo8bo$o10bo$bo8bo2$4b2o2bo$4bo3b2o$2bo3b2o$2bo3b2o$bo6b2o$o2bo
2b4o$b2o2bo3bo$6bo!
-- Andrew Wade

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dvgrn
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Re: Spaceship Discussion Thread

Post by dvgrn » March 18th, 2020, 6:11 pm

mscibing wrote:
March 18th, 2020, 5:49 pm
The width 12 (1,0)c/6 search was a success. It showed up last night but I didn't realize it was a spaceship until today...
Holy asymmetric long skinny spaceships, Batman.

Nice find! It really doesn't look much like anything that's been discovered before at this slow a speed. I guess it makes sense that it would resemble lower-period asymmetric ships, like the various long thin c/3s.

I guess anyone who finds it uncomfortably unfamiliar can just look at it in this form:

Code: Select all

x = 25, y = 162, rule = B3/S23
5b2ob2o5b2ob2o$5bob4o3b4obo$4bo6bobo6bo$5bo4bo3bo4bo$5bo13bo$6bobo7bob
o$6b2o9b2o$5bobo9bobo$b4o15b4o$o6bo9bo6bo$b2o4bo9bo4b2o$4bo3bo7bo3bo$
8b2o5b2o$6bo11bo$4bo3b2o5b2o3bo$2b3o3bo7bo3b3o$2bobo15bobo$b3o17b3o$bo
bo17bobo$2bo3b2o9b2o3bo$4b2o2bo7bo2b2o$5bo2b2o5b2o2bo$5b2ob2o5b2ob2o$
6bo11bo$6b6ob6o$6bo11bo$7bo3bobo3bo$6bo11bo$4bob2o9b2obo$4bo2bo9bo2bo$
4bobo2b2o3b2o2bobo$6b2o3bobo3b2o$3b2ob2o9b2ob2o$6b2obo5bob2o$2bo19bo$
3bobo13bobo$4bo15bo2$4b4o9b4o$2b2ob4o7b4ob2o$2b2o4b2o5b2o4b2o$4b2o2bo
7bo2b2o$4b2o2b2o5b2o2b2o$10bo3bo$2bo7bo3bo7bo$2b2obo13bob2o$5bo13bo$2b
o2b2o11b2o2bo3$5b4o7b4o$5bo4bo3bo4bo$5bo4bo3bo4bo$5bo3b2o3b2o3bo$6b2o
9b2o$5b3o9b3o$5bo13bo$5b2o11b2o2$8bo7bo$7b3o5b3o$5bobo2bo3bo2bobo$5bo
2bo2bobo2bo2bo$6bo11bo$7bo2bo3bo2bo2$5b2obo7bob2o$4bo3bo7bo3bo$4bo2bo
9bo2bo$5bobo9bobo$4bo2b2o7b2o2bo$2b2ob4o7b4ob2o$5bo3bo5bo3bo$2bo19bo$
9bo5bo$5bob2o7b2obo$5b4o7b4o$4bo2bo9bo2bo$4bo15bo$2bo19bo$2bo2b2obo7bo
b2o2bo$bo2b3ob3o3b3ob3o2bo$b4o15b4o$4bo15bo$b2obo15bob2o$6bobo7bobo$
10bo3bo$6bo3bo3bo3bo$5bo4bo3bo4bo$4bobobo7bobobo$3bobobo9bobobo$5bob2o
7b2obo$2b2ob2o11b2ob2o$8bo7bo$2b3o3bo7bo3b3o$b2obo15bob2o$b2obo4bo5bo
4bob2o$4b2obobo5bobob2o$b7obo5bob7o$2b5o11b5o$6bo11bo$8bo7bo$6bob2o5b
2obo2$10bo3bo$9bo5bo$7b3o5b3o$5b3o9b3o2$5bo2bo7bo2bo$6b2o9b2o$6b2o9b2o
2$6bob2o5b2obo$5b2o2b2o3b2o2b2o$8b3o3b3o$5b3o9b3o3$3b5o9b5o$3b5o9b5o$
2bo2bo13bo2bo2$5b2o11b2o$2b2obo13bob2o$5bo13bo$6bo11bo$b6o11b6o$5b2o
11b2o$5b2o11b2o$5bo2bo7bo2bo$4bo2bobo5bobo2bo$9bo5bo$8b2obobob2o$5bo4b
o3bo4bo$4bob2o9b2obo$3b2o3bo7bo3b2o2$3b2o2b2o7b2o2b2o2$3b2o2b2o7b2o2b
2o$5b2o11b2o$4b4o9b4o$b2obo2bob2o3b2obo2bob2o$ob2o4b2obobob2o4b2obo$ob
2o4b2obobob2o4b2obo$2bobo2bobo5bobo2bobo2$3bo4bo7bo4bo$bob6obo3bob6obo
$bo8bo3bo8bo$2bo6bo5bo6bo$2o8b2ob2o8b2o3$3b3ob3o5b3ob3o$3bo2bob2o5b2ob
o2bo$3bo2bo11bo2bo$bobob2o11b2obobo$obo3b2o9b2o3bobo$o5bob3o3b3obo5bo$
bo4bo11bo4bo!

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praosylen
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Re: Spaceship Discussion Thread

Post by praosylen » March 18th, 2020, 8:05 pm

mscibing wrote:
March 18th, 2020, 5:49 pm
The width 12 (1,0)c/6 search was a success. It showed up last night but I didn't realize it was a spaceship until today.

Code: Select all

rle
Very nice! This particular search was on my "wishlist", but I never had the resources to pull it off myself. It's worthwhile to note that the bottom component can also be flipped, since there's an intervening symmetrical portion:

Code: Select all

x = 12, y = 163, rule = B3/S23
5b2o$7bobo$4bo3bob2o$5b5o3$7bo$6bobo$2bo2bo$b2o2bo$bo3bo$5bo3bo$6bobo
$8bo$4bob2o$3bo4bo$3bo3bo$2bo$2b2o$2b2o2b2o$6b2o$5bo2bo$6b2o$9bo$6bob
o$6bo3b2o$7b4o3$4b4obo$4bo5bo$10bo$4bo4bo$4b6o$4bo2b2o$4bo$4bo2$4bo$3b
obo$3bo2b4o$3bob3o$10bo$5b2o3bo$10bo$b2obo$b2o2bo$2bobobo$5b3o$4b3o$5b
o2bo$5b2o2bo$9bo$6bobobo2$6b2o$6b2o$5bob2o$6b3o$8bo$8bobo$5b3o$6b2ob2o
$9bo$7b2o$8bo$5b3o$5bo3bo$5b2o2$6bo$6bobo$2b3o2b3o$bo3b2ob2o$5b5o$2bo
$4bobo$6b2o$4b3o$3bob2o$2b2obob2o$2bo4b3o$b3o6bo$o8bo$bobo3bo$3bob2o2$
7b4o$6b2o2bo$5bobobo$4b2obob2o$2b2ob2o2b2o$7bobo$bo2bo4bo$7bo$2b2o2b2o
$2b3obo$2bo2b2ob2o$4bo4bo$b2o2b2obo2$7bo$7bo2bo$7bo2bo$8bobo$8bo$6b2o
$6b2o2bo$6b2obo$6bo$4b4o$9bo$4b2o$7bobo$7bobo$6bob2o$6bo$6bo2$7bobo$2b
2o2b3o$3bob2o$3b2obo$4b2o$3bo$3bobo$2bo3bo$bo2b3o$bo2$5bob2o$3b2o2b3o
$5b3o2bo$5bo5bo$4b2o3b2o$5b2o$3bo3bo$3bo4bo$4bo3bo$4bo2bo2$3b2o2b2o$3b
2o2b2o$b2o6b2o$ob2o4b2obo$o10bo$bo8bo$2o2b4o2b2o$bobo4bobo$2b2o4b2o$b
o3b2o3bo$bo8bo$o10bo$bo8bo2$3bo2b2o$2b2o3bo$4b2o3bo$4b2o3bo$2b2o6bo$2b
4o2bo2bo$2bo3bo2b2o$5bo!
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » March 18th, 2020, 11:09 pm

mscibing wrote:
March 18th, 2020, 5:49 pm
The width 12 (1,0)c/6 search was a success. It showed up last night but I didn't realize it was a spaceship until today.
Great work! I was always pretty sure that a width-12 c/6 ship existed, but I honestly expected it to be a bit shorter. It's still possible that a shorter ship exists, but I'm much more skeptical of that than I would have been 6 months ago.
A for awesome wrote:
March 18th, 2020, 8:05 pm
This particular search was on my "wishlist"
Mine as well. The highest on my wishlist are obviously searches for new speeds (e.g., 3c/8 seems like an interesting one to tackle with this new program), but I would also like to see the width-19 and width-20 (3,0)c/6 searches completed. Such a search is possible, since no period-2 ships exist at widths below 21. Unlike a width-12 c/6 ship, I am not confident that a width-20 3c/6 ship exists, but as with any of this, it's worth a try.

It's not particularly interesting, but the c/6 forward domino sparker can support that symmetric component:

Code: Select all

x = 16, y = 188, rule = B3/S23
7b2o$9bobo$6bo3bob2o$7b5o3$9bo$8bobo$4bo2bo$3b2o2bo$3bo3bo$7bo3bo$8bob
o$10bo$6bob2o$5bo4bo$5bo3bo$4bo$4b2o$4b2o2b2o$8b2o$7bo2bo$8b2o$11bo$8b
obo$8bo3b2o$9b4o3$6b4obo$6bo5bo$12bo$6bo4bo$6b6o$6bo2b2o$6bo$6bo2$6bo$
5bobo$5bo2b4o$5bob3o$12bo$7b2o3bo$12bo$3b2obo$3b2o2bo$4bobobo$7b3o$6b
3o$7bo2bo$7b2o2bo$11bo$8bobobo2$8b2o$8b2o$7bob2o$8b3o$10bo$10bobo$7b3o
$8b2ob2o$11bo$9b2o$10bo$7b3o$7bo3bo$7b2o2$8bo$8bobo$4b3o2b3o$3bo3b2ob
2o$7b5o$4bo$6bobo$8b2o$6b3o$5bob2o$4b2obob2o$4bo4b3o$3b3o6bo$2bo8bo$3b
obo3bo$5bob2o2$9b4o$8b2o2bo$7bobobo$6b2obob2o$4b2ob2o2b2o$9bobo$3bo2bo
4bo$9bo$4b2o2b2o$4b3obo$4bo2b2ob2o$6bo4bo$3b2o2b2obo2$9bo$9bo2bo$9bo2b
o$10bobo$10bo$8b2o$8b2o2bo$8b2obo$8bo$6b4o$11bo$6b2o$9bobo$9bobo$8bob
2o$8bo$8bo2$9bobo$4b2o2b3o$5bob2o$5b2obo$6b2o$5bo$5bobo$4bo3bo$3bo2b3o
$3bo2$7bob2o$5b2o2b3o$7b3o2bo$7bo5bo$6b2o3b2o$7b2o$5bo3bo$5bo4bo$6bo3b
o$6bo2bo2$5b2o2b2o$5b2o2b2o$3b2o6b2o$2bob2o4b2obo$2bo10bo$3bo8bo$2b2o
2b4o2b2o$3bobo4bobo$4b2o4b2o$3bo3b2o3bo$3bo8bo$2bo10bo$3bo8bo3$4bo6bo$
3bobob2obobo$3b2o2b2o2b2o$7b2o2$5b2o2b2o$5b2o2b2o$6b4o$6bo2bo$5bo4bo$
5bo4bo$5bob2obo$6bo2bo$6bo2bo2$o14bo$2o4bo2bo4b2o$o5b4o5bo$b2o4b2o4b2o
$2bo10bo$obo10bobo$b5o4b5o$3bo2b4o2bo$2bo4b2o4bo$6bo2bo$7b2o$4b2ob2ob
2o2$3bo8bo$2b3o6b3o$2bo2bo4bo2bo$b2o10b2o!
-Matthias Merzenich

GilGil
Posts: 80
Joined: April 5th, 2019, 6:46 pm

Re: Spaceship Discussion Thread

Post by GilGil » March 19th, 2020, 4:23 pm

HartmutHolzwart wrote:
March 8th, 2020, 12:47 pm
Another c/4 grey ship using stabilized by ants.

Code: Select all

x = 261, y = 258, rule = B3/S23
10$168bobo$167bo2bo$166bo3bo$165b2o$162bobob2o$161bo$161bo2b2obo$158bo
bobo4b2obo$153bo2b2ob3o8bo$151b2o7bo$153bo3b2o$155b2o2$157b3o$156bob2o
$152bobobo$152bo3bo$152bobob3o$156b2o2$158bo$158bobo$28b2o128bobo$26bo
2bo39bo$29b2o36b2o89b3o$20bo2b2ob2ob3o35b2o13bo75b2o$19bo2bo3bo3b2o29b
o7bo6bobo2bob2obo65bo3b2obo$20bo8bo16b2o12b2o3b2o2b2o4bo3bo3b2ob2o14bo
48b6o$21b2o2bo3bobo14b3o14b2o2bobo5bo2b2o6b2o9b2ob2o$21bo2bo4bo9bobo3b
ob2o9bo2bo3bo2bo2bo2bo3bo3bo3bo9b3o52b2obo3b2o$20b2o11bo5bobobo2bo15bo
bo3b2o4bo2bo3bo3bo2b3o6bob4o47bo3bo2b3o$20bo10b2o5bo3b2ob3o9b2ob2o2bo
2bo5b2o3bo2bo4bo3b2ob2o3bob2o47bo3bo2b4o$21bobo9b3ob3o3b2o2bobo4bobo4b
3o6bo2b2obo5bo3bobo10b2obo47bo3b4o$34b3o2b2o6bobob2o2bo9b2o4bo2b4o14bo
3bo4bo53bo$22bo27bobobo17bobo2bobob4o9b4o53b2o$21b3o10b2o3bo11b2obo18b
o4bo3b4o9b3o52bo$34b2o3bo3bo8b3obo28bo63bo3bo$21b2o13bo2bo3bo10b2o92bo
3bo$21bob2o16bobo103b2o$20bo4bo121b2obo$20bo126b2obo2bo$21bo2b2o122bob
2obo$23b3o124bo$20b2o2bo123b2o$15bob2o4bo124bo$15bo3bo130b3o$15bo3bobo
128b3o$17bo3bo$13b2o4bobobo$13b2o4b2ob2o123b4o$13b2o7b2o122bo18b2obo$
14bo6b3o123b3obo12bo3bo$15b2o4b2o125b2obob2o8b2o3bo$17b3o132bo2bo7bobo
$16b4o2bo128bo10b2obo12b2obo$13b2o4bo131b2obo8b5o9bo3bo$14bob2o2b2obo
50bo14bo60b4o11b2obo7b2o3bo$15bo3b4o48bo2bo5b4o4bobo58b3o14bo2bo6bobo$
17b3o2bo19b3o26bo2bo4bo3b2o2b2o79bo6b2obo12b2obo$20bo3bo17b3o17bo3bo2b
o6b2obo2bobo4bo59bob3o12b3o7b5o9bo3bo$17bo20b2o5b2o2bo6bo5b4obob3o2b2o
9bo63b2o14b2o11b2obo7b2o3bo$18b4o10bo5b2ob2ob4obo5b2o3b5ob3ob2obo4bob
2o3b2o65bo12b3o11bo2bo6bobo$18b4o2bo6b2o3bo2b2o3b3o7bo4bo4b3o5bo2bo3b
3o3b2o61bobo14b2o2bo11bo6b2obo12b2obo$18bo3bo5bo4bo5bo7b5obo3b3o13bobo
4b2o66bo16bo3bo9b3o7b5o9bo3bo$16b3o3bobo3bo2bo2b2obobo13bobo8bobo81b2o
28b2o11b2obo7b2o3bo$15bo7b2o3bobo3b2o3bobo5b2obo6bo3bobo2b2obo79b2o13b
o13b3o11bo2bo6bobo$20b2ob4ob2o4b2o3bo8bobo2b9o7bo80b2o12bo2bo10b2o2bo
11bo6b2obo12b2obo$16b2o2bob5obo7bobo15b2o4b2o89b4o9bo2bo10bo3bo9b3o7b
5o9bo3bo$18bobob3o5b2o5bo117bo10bo24b2o11b2obo7b2o3bo$26bobob2o119bo
12b2o11bo13b3o11bo2bo6bobo$25bo2bo121b2o3bo8b2o11bo2bo10b2o2bo11bo6b2o
bo12b2obo$20b2o2bob3o120bob2o24bo2bo10bo3bo9b3o7b5o9bo3bo$19b3obo2bo
121bo7bo6bobo13bo24b2o11b2obo7b2o3bo$20b2o6b2o117bobo2bo2b2o6bobo11b2o
11bo13b3o11bo2bo6bobo$24b3o6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2ob2obo2bo2bo7bobo11b
2o11bo2bo10b2o2bo11bo6b2obo$28bob2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3bo4bo3b2obo5bo
26bo2bo10bo3bo9b3o7b5o$28bob2ob3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o
2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o4bo2b2ob2o5bo12bob
o13bo24b2o11b2obo$29bo116bo4bo8bo3bo11bobo11b2o11bo13b3o11bo2bo$30b
133obobo9bobo11b2o11bo2bo10b2o2bo11bo$164bobo2b2o5bo26bo2bo10bo3bo9b3o
$30b136o3b2o5bo12bobo13bo24b2o$23bo2bo2bo135bo7bo3bo11bobo11b2o11bo13b
3o$23bo2bobob146obobo9bobo11b2o11bo2bo10b2o2bo$22b2o153bobo2b2o5bo26bo
2bo10bo3bo$23bob2ob151o3b2o5bo12bobo13bo$23bo154bo7bo3bo11bobo11b2o11b
o$23bob2ob161obobo9bobo11b2o11bo2bo$22b2o166bobo2b2o5bo26bo2bo$23bo2bo
bob162o3b2o5bo12bobo13bo$23bo2bo2bo161bo7bo3bo11bobo11b2o$30b172obobo
9bobo11b2o$203bobo2b2o5bo$30b175o3b2o5bo12bobo$23bo2bo2bo174bo7bo3bo
11bobo$23bo2bobob185obobo9bobo$22b2o192bobo2b2o5bo$23bob2ob190o3b2o5bo
$23bo193bo7bo3bo18bobo$23bob2ob200obobo12b3obobo$22b2o205bobo2b2o5b3ob
o4bo$23bo2bobob201o3b2o4b2o3bo$23bo2bo2bo200bo7bo5bo$30b211o2$30b211o$
23bo2bo2bo200bo7bo5bo$23bo2bobob201o3b2o4b2o3bo$22b2o205bobo2b2o5b3obo
4bo$23bob2ob200obobo12b3obobo$23bo193bo7bo3bo18bobo$23bob2ob190o3b2o5b
o$22b2o192bobo2b2o5bo$23bo2bobob185obobo9bobo$23bo2bo2bo174bo7bo3bo11b
obo$30b175o3b2o5bo12bobo$203bobo2b2o5bo$30b172obobo9bobo11b2o$23bo2bo
2bo161bo7bo3bo11bobo11b2o$23bo2bobob162o3b2o5bo12bobo13bo$22b2o166bobo
2b2o5bo26bo2bo$23bob2ob161obobo9bobo11b2o11bo2bo$23bo154bo7bo3bo11bobo
11b2o11bo$23bob2ob151o3b2o5bo12bobo13bo$22b2o153bobo2b2o5bo26bo2bo10bo
3bo$23bo2bobob146obobo9bobo11b2o11bo2bo10b2o2bo$23bo2bo2bo135bo7bo3bo
11bobo11b2o11bo13b3o$30b136o3b2o5bo12bobo13bo24b2o$164bobo2b2o5bo26bo
2bo10bo3bo9b3o$30b133obobo9bobo11b2o11bo2bo10b2o2bo11bo$29bo116bo4bo8b
o3bo11bobo11b2o11bo13b3o11bo2bo$28bob2ob3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o
2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o4bo2b2ob2o
5bo12bobo13bo24b2o11b2obo$28bob2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3bo4bo3b2obo5bo26b
o2bo10bo3bo9b3o7b5o$24b3o6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2ob2obo2bo2bo7bobo11b2o
11bo2bo10b2o2bo11bo6b2obo$20b2o6b2o117bobo2bo2b2o6bobo11b2o11bo13b3o
11bo2bo6bobo$19b3obo2bo121bo7bo6bobo13bo24b2o11b2obo7b2o3bo$20b2o2bob
3o120bob2o24bo2bo10bo3bo9b3o7b5o9bo3bo$25bo2bo121b2o3bo8b2o11bo2bo10b
2o2bo11bo6b2obo12b2obo$26bobob2o119bo12b2o11bo13b3o11bo2bo6bobo$18bobo
b3o5b2o5bo117bo10bo24b2o11b2obo7b2o3bo$16b2o2bob5obo7bobo15b2o4b2o89b
4o9bo2bo10bo3bo9b3o7b5o9bo3bo$20b2ob4ob2o4b2o3bo8bobo2b9o7bo80b2o12bo
2bo10b2o2bo11bo6b2obo12b2obo$15bo7b2o3bobo3b2o3bobo5b2obo6bo3bobo2b2ob
o79b2o13bo13b3o11bo2bo6bobo$16b3o3bobo3bo2bo2b2obobo13bobo8bobo81b2o
28b2o11b2obo7b2o3bo$18bo3bo5bo4bo5bo7b5obo3b3o13bobo4b2o66bo16bo3bo9b
3o7b5o9bo3bo$18b4o2bo6b2o3bo2b2o3b3o7bo4bo4b3o5bo2bo3b3o3b2o61bobo14b
2o2bo11bo6b2obo12b2obo$18b4o10bo5b2ob2ob4obo5b2o3b5ob3ob2obo4bob2o3b2o
65bo12b3o11bo2bo6bobo$17bo20b2o5b2o2bo6bo5b4obob3o2b2o9bo63b2o14b2o11b
2obo7b2o3bo$20bo3bo17b3o17bo3bo2bo6b2obo2bobo4bo59bob3o12b3o7b5o9bo3bo
$17b3o2bo19b3o26bo2bo4bo3b2o2b2o79bo6b2obo12b2obo$15bo3b4o48bo2bo5b4o
4bobo58b3o14bo2bo6bobo$14bob2o2b2obo50bo14bo60b4o11b2obo7b2o3bo$13b2o
4bo131b2obo8b5o9bo3bo$16b4o2bo128bo10b2obo12b2obo$17b3o132bo2bo7bobo$
15b2o4b2o125b2obob2o8b2o3bo$14bo6b3o123b3obo12bo3bo$13b2o7b2o122bo18b
2obo$13b2o4b2ob2o123b4o$13b2o4bobobo$17bo3bo$15bo3bobo128b3o$15bo3bo
130b3o$15bob2o4bo124bo$20b2o2bo123b2o$23b3o124bo$21bo2b2o122bob2obo$
20bo126b2obo2bo$20bo4bo121b2obo$21bob2o16bobo103b2o$21b2o13bo2bo3bo10b
2o92bo3bo$34b2o3bo3bo8b3obo28bo63bo3bo$21b3o10b2o3bo11b2obo18bo4bo3b4o
9b3o52bo$22bo27bobobo17bobo2bobob4o9b4o53b2o$34b3o2b2o6bobob2o2bo9b2o
4bo2b4o14bo3bo4bo53bo$21bobo9b3ob3o3b2o2bobo4bobo4b3o6bo2b2obo5bo3bobo
10b2obo47bo3b4o$20bo10b2o5bo3b2ob3o9b2ob2o2bo2bo5b2o3bo2bo4bo3b2ob2o3b
ob2o47bo3bo2b4o$20b2o11bo5bobobo2bo15bobo3b2o4bo2bo3bo3bo2b3o6bob4o47b
o3bo2b3o$21bo2bo4bo9bobo3bob2o9bo2bo3bo2bo2bo2bo3bo3bo3bo9b3o52b2obo3b
2o$21b2o2bo3bobo14b3o14b2o2bobo5bo2b2o6b2o9b2ob2o$20bo8bo16b2o12b2o3b
2o2b2o4bo3bo3b2ob2o14bo48b6o$19bo2bo3bo3b2o29bo7bo6bobo2bob2obo65bo3b
2obo$20bo2b2ob2ob3o35b2o13bo75b2o$29b2o36b2o89b3o$26bo2bo39bo$28b2o
128bobo$158bobo$158bo2$156b2o$152bobob3o$152bo3bo$152bobobo$156bob2o$
157b3o2$155b2o$153bo3b2o$151b2o7bo$153bo2b2ob3o8bo$158bobobo4b2obo$
161bo2b2obo$161bo$162bobob2o$165b2o$166bo3bo$167bo2bo$168bobo!
Nice new one ! I will add it to my collection.

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Re: Spaceship Discussion Thread

Post by GUYTU6J » March 21st, 2020, 12:11 am

The new c/6 has a good tail:

Code: Select all

x = 10, y = 8, rule = B3/S23
bo2b2o$2o3bo$2b2o3bo$2b2o3bo$2o6bo$4o2bo2bo$o3bo2b2o$3bo!
#C [[ STOP 6 ]]
How about a JLS-search based on it?

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Mr. T
Posts: 558
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Location: Germany

Re: Spaceship Discussion Thread

Post by Mr. T » March 21st, 2020, 9:36 am

This thread fits, i think.
Played with the standard c10p320 circuit by Nico Brown with 12 Fireships producing 2 Glider-lanes in foreward direction.
I added 4 backrakes. The rake needs 10 Fireships and 4 Copperheads and increased both in length and width. It can't used in p960-mode, because the stream inside the construction may not be interrupted.

Code: Select all

x = 146, y = 142, rule = B3/S23
28bo2bo82bo2bo$28bo2bo82bo2bo$27bo4bo80bo4bo$27bo4bo8b2o2b2o52b2o2b2o
8bo4bo$27bo4bo10b2o56b2o10bo4bo$27bo4bo10b2o56b2o10bo4bo$26b3o2b3o6bob
o2bobo50bobo2bobo6b3o2b3o$26bob4obo6bo6bo50bo6bo6bob4obo$11bo2bo12bo4b
o80bo4bo12bo2bo$11bo2bo25bo6bo50bo6bo25bo2bo$10bo4bo25b2o2b2o52b2o2b2o
25bo4bo$10bo4bo13b2o11b4o54b4o11b2o13bo4bo$10bo4bo13b2o84b2o13bo4bo$
10bo4bo13b2o12b2o56b2o12b2o13bo4bo$9b3o2b3o10bo4bo9bo2bo54bo2bo9bo4bo
10b3o2b3o$9bob4obo8b3o4b3o76b3o4b3o8bob4obo$10bo4bo8b3o6b3o5bo4bo52bo
4bo5b3o6b3o8bo4bo$24b2o8b2o4b2o4b2o50b2o4b2o4b2o8b2o$25b10o6bob2obo52b
ob2obo6b10o$12b2o12b8o8b4o54b4o8b8o12b2o$12b2o14b4o11b2o56b2o14bo14b2o
$12b2o99b3o16b2o$10bo4bo96b5o13bo4bo$8b3o4b3o93b2o3b2o10b3o4b3o$7b3o6b
3o91b3o3b3o8b3o6b3o$7b2o8b2o92b2o3b2o9b2o8b2o$8b10o94b5o11b10o$9b8o96b
3o13b8o$11b4o99bo16b4o13$22b2o$22b2o14b2o$15b2o20bo2bo$14b2o21bobo25b
3o$16bo21bo26bo$30b2o34bo$30b2o6$4b2o134b2o$3bo2bo23b2o107bo2bo$2b2o2b
2o22b2o106b2o2b2o$2b2o2b2o130b2o2b2o$2bob2obo114b2o14bob2obo$4b2o100b
2o14b2o16b2o$2bo4bo97bo2bo29bo4bo$b2o4b2o97bobo28b2o4b2o$107bo$16bo5bo
12bo78b2o$4b2o9b3ob2o2b2o2b3o3b2ob2o76b2o24b2o$3bo2bo7bo3bo2b4o5b3o3b
2o101bo2bo$3bo2bo8b2o4b2o4bo2bo7bo100bo2bo$16b2ob2obo2b2ob2o7bo$b2o4b
2o9bo4b2o12bo99b2o4b2o$o2bo2bo2bo21b2o103bo2bo2bo2bo$o2bo2bo2bo21bo
104bo2bo2bo2bo$bobo2bobo21bo83b2o21bobo2bobo$114b2o2$22b2o$22b2o14b2o$
37bo2bo$37bobo$38bo$30b2o78b2o$30b2o78b2o6$111b2o$30b2o78bo2bo$30b2o
79b2o3$104bo$103bobo$103bobo$104bo$34b2o$34b2o6$33b2o17b2o38b2o$32bo2b
o15bo2bo36bo2bo$33b2o16bo2bo36bo2bo$50bo4bo34bo4bo$50bo4bo34bo4bo$41bo
9b4o36b4o$40bobo7b2o2b2o34b2o2b2o$40bobo7bo4bo34bo4bo$41bo8bo4bo34bo4b
o3$51b4o36b4o$52b2o38b2o2$49b2o4b2o32b2o4b2o$48bo2bo2bo2bo30bo2bo2bo2b
o$49b3o2b3o32b3o2b3o$49b2o4b2o32b2o4b2o2$113b3o2$107b3o2$95bo$28b2o65b
obo18b2o$27b4o64b2o18b4o2$26b6o82b6o$27b4o84b4o$38b4o62b4o$26b2o2b2o
82b2o2b2o$24b2obo2bob2o4bo2bo62bo2bo4b2obo2bob2o$27bo2bo6bob2obo60bob
2obo6bo2bo$37bo4bo60bo4bo2$28b2o7bo4bo60bo4bo7b2o$28b2o7b2o2b2o60b2o2b
2o7b2o$37b6o60b6o$38bo2bo62bo2bo$39b2o64b2o$39b2o64b2o!
Christoph Reinthaler (Who has this weird c/10-fetish)

HartmutHolzwart
Posts: 840
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » March 21st, 2020, 6:23 pm

Just two similar 2c/4 grey ships:

Code: Select all

x = 365, y = 137, rule = B3/S23
80bo$78bo3bo$77bo$77bo4bo$77b5o2$274bo$70bo2bo5bobo188b3obo$69bo4bo3b
2o3bo185b2o4bo$64bo4bo3b2o186b2o5b2o3bo3bo$55bobo3b4o4b4ob3o2b3o2bo
175b2ob3o3b2obo4bo5b4o$54bo2bo3bobo14b2o2bo178b5o7bo9bo3bo$53b2o5bo2bo
10bo2bo184b3o7b2obo7bo$52bo3bo2bo14bo198bob2obo5bo$51b3obo3bob4o8bo4bo
5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo
5bo5bo5bo5bo5bo5bo5bo5b3o2b2ob3o3bo9bo$50bo7bo8bob3obo5b2obo2b2obo2b2o
bo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b
2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo
2b2obo2b2obo2b2obo2b2obo2b2obo3bo3bo2b3o5bo3bo3bobo$49b7o2b10obobo2b3o
b3o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b
4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b2obo2b2o4b7o3b
ob2ob2o3b2o$48bo223bo10bo9b4o$47b246o3b2o$46bo248b3o$45b250o$44bo251bo
$43b253o$42bo256bo$41b259o3b2o$40bo260b4o$39b262o3b2o$38bo264b3o$37b
266o$36bo267bo$35b269o$34bo272bo$33b275o3b2o$32bo276b4o$31b278o3b2o$
30bo280b3o$29b282o$28bo283bo$27b285o$26bo288bo$25b291o3b2o$24bo292b4o$
23b294o3b2o$22bo296b3o$21b298o$20bo299bo$19b301o$18bo304bo$17b307o3b2o
$16bo308b4o$15b310o3b2o$14bo312b3o$13b314o$12bo315bo$11b317o$10bo320bo
$9b323o3b2o$6b2o325b4o$5bo3b324o3b2o$4bo3bo326b3o15bo$4bo5b325o16bobo$
4b3o3bo325bo11b3o$5bobo4b324o6bob2obob2o$5b2o2bo2bo326bobobobobobob2o$
3bo3b2o4b327obob2o2bobo$2b2o10bo329bo2bo2bo2b2o$3b6o6b329o2b2o3bob2o$
4bo4bo6bo329b3o$5b3o9b327o2b2o3bob2o$5bo3bo8bo325bo2bo2bo2b2o$7b3o9b
321obob2o2bobo$7b4o9bo318bobobobobobob2o$10bo10b315o6bob2obob2o$22bo
313bo11b3o$23b312o16bobo$24bo310b3o15bo$25b308o3b2o$26bo306b4o$27b305o
3b2o$28bo302bo$29b299o$30bo297bo$31b296o$32bo294b3o$33b292o3b2o$34bo
290b4o$35b289o3b2o$36bo286bo$37b283o$38bo281bo$39b280o$40bo278b3o$41b
276o3b2o$42bo274b4o$43b273o3b2o$44bo270bo$45b267o$46bo265bo$47b264o$
48bo262b3o$49b260o3b2o$50bo258b4o$51b257o3b2o$52bo254bo$53b251o$54bo
249bo$55b248o$56bo246b3o$57b244o3b2o$58bo242b4o$59b241o3b2o$60bo238bo$
61b235o$62bo233bo$63b232o$64bo230b3o$65b228o3b2o$66bo205bo10bo9b4o$67b
7o2b10obobo2b3ob3o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o
2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b2obo2b2o4b7o
3bob2ob2o3b2o$68bo7bo8bob3obo5b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2ob
o2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b
2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo3bo3bo2b3o5b
o3bo3bobo$69b3obo3bob4o8bo4bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b3o2b2ob3o3bo9bo$70bo3bo2bo
14bo180bob2obo5bo$71b2o5bo2bo10bo2bo166b3o7b2obo7bo$72bo2bo3bobo14b2o
2bo160b5o7bo9bo3bo$73bobo3b4o4b4ob3o2b3o2bo157b2ob3o3b2obo4bo5b4o$82bo
4bo3b2o168b2o5b2o3bo3bo$87bo4bo3b2o3bo167b2o4bo$88bo2bo5bobo170b3obo$
274bo2$95b5o$95bo4bo$95bo$96bo3bo$98bo!

Code: Select all

x = 489, y = 201, rule = B3/S23
28$63b2o$67bo$61b2o4bo3b3o$61bo2b2o4bo$61bob2ob5obob4o$62b2obo6b6o$63b
o3b2o2bo3b2o$64b4obobo196bo$56b2o5b2o3b3o193b3obo$55b2ob3o6b2o194b2o4b
o$56b5obo3b2o187b2o5b2o3bo3bo16b2o7bo2bo25b2o7bo2bo$57b6o3b2o186b2ob3o
3b2obo4bo5b4o6b4o5bo9b2o7b4o6b4o5bo9b2o7b4o$62bo3bo188b5o7bo9bo3bo4b2o
b2o5bo3bo4b2ob2o5bo3bo4b2ob2o5bo3bo4b2ob2o5bo3bo$61bo194b3o7b2obo7bo9b
2o7b4o6b4o5bo9b2o7b4o6b4o5bo$60bo3bo202bob2obo5bo28b2o7bo28b2o7bo$59b
2o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5b3o2b2ob3o3bo9bo27bo9bo27bo9bo$58b3obo4b
2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo
2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2o
bo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo3bo3bo2b3o5bo3bo3bob
o4b2obob2o2b3obo3b3obobo3bo3bobo4b2obob2o2b3obo3b3obobo3bo3bobo$59b2ob
obob3o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o
2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b2obo2b2o
4b7o3bob2ob3obobob6ob2ob2o3b3o2b2o3bob2ob3obobob6ob2ob2o3b3o2b2o3bob2o
b2o3b2o$60b2o204bo10bo9bo27bo9bo27bo9b4o$61b302o3b2o$365b3o$61b304o$
60b2o304bo$59b2o2b303o$58b3obo306bo$59b2o2b307o3b2o$60b2o309b4o$61b
310o3b2o$373b3o$61b312o$60b2o312bo$59b2o2b311o$58b3obo314bo$59b2o2b
315o3b2o$60b2o317b4o$61b318o3b2o$381b3o$61b320o$60b2o320bo$59b2o2b319o
$58b3obo322bo$59b2o2b323o3b2o$60b2o325b4o$61b326o3b2o$389b3o$61b328o$
60b2o328bo$59b2o2b327o$58b3obo330bo$59b2o2b331o3b2o$60b2o333b4o$61b
334o3b2o$397b3o$61b336o$60b2o336bo$59b2o2b335o$58b3obo338bo$59b2o2b
339o3b2o$60b2o341b4o$61b342o3b2o$405b3o$61b344o$60b2o344bo$59b2o2b343o
7bo5bo$58b3obo346bo4bo3b2o$59b2o2b350o3bobo$60b2o349bo3b2o3bobo$61b
350o6b6o2$61b350o6b6o$60b2o349bo3b2o3bobo$59b2o2b350o3bobo$58b3obo346b
o4bo3b2o$59b2o2b343o7bo5bo$60b2o344bo$61b344o$405b3o$61b342o3b2o$60b2o
341b4o$59b2o2b339o3b2o$58b3obo338bo$59b2o2b335o$60b2o336bo$61b336o$
397b3o$61b334o3b2o$60b2o333b4o$59b2o2b331o3b2o$58b3obo330bo$59b2o2b
327o$60b2o328bo$61b328o$389b3o$61b326o3b2o$60b2o325b4o$59b2o2b323o3b2o
$58b3obo322bo$59b2o2b319o$60b2o320bo$61b320o$381b3o$61b318o3b2o$60b2o
317b4o$59b2o2b315o3b2o$58b3obo314bo$59b2o2b311o$60b2o312bo$61b312o$
373b3o$61b310o3b2o$60b2o309b4o$59b2o2b307o3b2o$58b3obo306bo$59b2o2b
303o$60b2o304bo$61b304o$365b3o$61b302o3b2o$60b2o204bo10bo9bo27bo9bo27b
o9b4o$59b2obobob3o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o
2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b4o2b
4o2b2obo2b2o4b7o3bob2ob3obobob6ob2ob2o3b3o2b2o3bob2ob3obobob6ob2ob2o3b
3o2b2o3bob2ob2o3b2o$58b3obo4b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo
2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2o
bo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b
2obo2b2obo3bo3bo2b3o5bo3bo3bobo4b2obob2o2b3obo3b3obobo3bo3bobo4b2obob
2o2b3obo3b3obobo3bo3bobo$59b2o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo
5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b3o2b2ob3o3b
o9bo27bo9bo27bo9bo$60bo3bo202bob2obo5bo28b2o7bo28b2o7bo$61bo194b3o7b2o
bo7bo9b2o7b4o6b4o5bo9b2o7b4o6b4o5bo$62bo3bo188b5o7bo9bo3bo4b2ob2o5bo3b
o4b2ob2o5bo3bo4b2ob2o5bo3bo4b2ob2o5bo3bo$57b6o3b2o186b2ob3o3b2obo4bo5b
4o6b4o5bo9b2o7b4o6b4o5bo9b2o7b4o$56b5obo3b2o187b2o5b2o3bo3bo16b2o7bo2b
o25b2o7bo2bo$55b2ob3o6b2o194b2o4bo$56b2o5b2o3b3o193b3obo$64b4obobo196b
o$63bo3b2o2bo3b2o$62b2obo6b6o$61bob2ob5obob4o$61bo2b2o4bo$61b2o4bo3b3o
$67bo$63b2o!
These show how the parts used in halfmax connect to other grey ship parts.

HartmutHolzwart
Posts: 840
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » March 22nd, 2020, 7:34 am

Open topics in greyshipology to work on
  • Find a c/5 grey stretcher (c/5 end for wick needed at the front)
    Find a 2c/4 against the grain grey stretcher (front part seems to be hairy)
    Find a 2c/5 grey stretcher (here we have only a wicks as a start)
    Find a c/3 grey stretcher (p11 wick termination needed)

    Find a c/6 grey ship
    Find a 2c/5 against the grain grey ship
    Find a 2c/6 against the grain grey ship
Apart from the c/6 case, partial results are spread over the forum (search for the word grey)

mscibing
Posts: 105
Joined: May 18th, 2010, 8:30 pm

Re: Spaceship Discussion Thread

Post by mscibing » March 22nd, 2020, 10:17 am

2c/7 wave stabilization, and it did end up using the component Sokwe pointed out:

Code: Select all

#C [[ TRACK 0 -2/7 ]]
x = 51, y = 34, rule = B3/S23
9bo15bo15bo$8bobo13bobo13bobo$7bo3bo2b3ob3o2bo3bo2b3ob3o2bo3bo$3b2o3bo
bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo3b2o$2bo2b2o2bo2bo9bo2bo2bo9bo2bo2b
2o2bo$3bo3bo4bobo5bobo5bobo5bobo4bo3bo$3b2o2bo5bo7bo7bo7bo5bo2b2o$3b2o
2bo5b3o3b3o7b3o3b3o5bo2b2o$3bo2b2o5bo2bobo2bo7bo2bobo2bo5b2o2bo$4bo6bo
bob2ob2obobo3bobob2ob2obobo6bo$2bob2o39b2obo3$4b3o37b3o2$3b2o41b2o$3b
2o41b2o$4b2o39b2o$3bo2b2o35b2o2bo$4bobobo33bobobo$3b3o2bo33bo2b3o$3b2o
2b3o31b3o2b2o$3b2o2b2o33b2o2b2o$2bo45bo$bo47bo$bo2bo41bo2bo$bo2bo41bo
2bo$2b3o41b3o$3bobo39bobo$3b2obo37bob2o$2bobo41bobo$obob2o39b2obobo$ob
2o43b2obo$2o47b2o!
-- Andrew Wade

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