Smallest Spaceships Supporting Specific Speeds (5s) Project

For discussion of other cellular automata.

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

muzik wrote:http://www.conwaylife.com/wiki/LifeWiki:Smallest_Spaceships_Supporting_Specific_Speeds/Overview/Slope_0

Shouldn't be too hard to find, given it's linked on the main 5s page.

Thanks, and whoops - I've been using an old link.
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1117
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Thanks for the help, wildmyron. I checked the permissions, and the files should still should be accessible. Here's a (27,2)c/80 ship that can probably be reduced by a better combination of parts:

(27,2)c/80, 34 cells:
`x = 50, y = 11, rule = B3aijry5cey6c7e8/S2-c3-aky4-ajkqw5-aiqy6cin785bo\$3b3o\$3bo28bo\$30b3o\$2bo27bo\$b2o46bo\$2o7bo38b2o\$b3o6bo37b2o\$7bo2bo37b2o\$7bob2o\$7b2o!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

5-cell (7,1)c/8 - it was literally a half-minute LLS search!

`x = 5, y = 2, rule = B01c2-ai3ejkq4ajnqt5n6ek/S12ek3aekqy4knt5cjr6-iko2bo\$2b3o!`

testitemqlstudop

Posts: 766
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

testitemqlstudop wrote:5-cell (7,1)c/8 - it was literally a half-minute LLS search!

`x = 5, y = 2, rule = B01c2-ai3ejkq4ajnqt5n6ek/S12ek3aekqy4knt5cjr6-iko2bo\$2b3o!`

That is cool, but the goal of finding a (7,1)c/8 is finding one in a non-B0 rule.I believe I found a 3-cell (7,1)c/8 before, but I don't know where I posted it.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Ahgggg, fine. The wiki says "unknown" for (7,1)c/8, though.

testitemqlstudop

Posts: 766
Joined: July 21st, 2016, 11:45 am
Location: very very very very boats

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

testitemqlstudop wrote:Ahgggg, fine. The wiki says "unknown" for (7,1)c/8, though.

B0 rules are separate from the others. Majestas was supposed to be updating it, but didn't, and I forgot about it. If you can find a (7,1)c/8 in a non-B0 rule, that would be a miracle.

EDIT, welp, no need to optimize the previous ship. Two transitions away is a 6-cell one:

(27,2)c/80, 6 cells:
`x = 4, y = 3, rule = B3aijry5cey6cn7e/S2-c3-aky4-ajkqw5-aiqy6cin78b2o\$2b2o\$o2bo!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

What is the smallest period that has no ship of any slope supporting it?
EDIT: I can't believe c/26d isn't in the files:
`x = 7, y = 7, rule = B2e3-a4a/S1c2ci345bo2\$44b3o2\$42bo\$40bobo\$42bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Hdjensofjfnen wrote:What is the smallest period that has no ship of any slope supporting it?
EDIT: I can't believe c/26d isn't in the files:

There is:
`x = 6, y = 2, rule = B2cen4ckntz5acjnq6c/S04i6k8obo\$5bo!`

What files are you looking at?
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

AforAmpere wrote:
Hdjensofjfnen wrote:What is the smallest period that has no ship of any slope supporting it?
EDIT: I can't believe c/26d isn't in the files:

There is:
`x = 6, y = 2, rule = B2cen4ckntz5acjnq6c/S04i6k8obo\$5bo!`

What files are you looking at?

Huh. Must have been an outdated Drive database, then. Can you provide the link to the updated one?
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Oh, the speeds are sorted fastest to slowest. Thought it was the other way round.
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Filling in some gaps in the diagonal speeds up to p27.

10c/23d, 3 cells
`x = 3, y = 3, rule = B2ain3acnry4iktw5acq6ak/S02ai3-ijn4aeity5acq6ae72bo2\$obo!`

12c/24d, 4 cells
`x = 4, y = 4, rule = B2-ik3ce4qrw5a7c8/S1c2c3ciknq4aeiyz5cekr6ak7c3bo2\$3bo\$obo!`

10c/24d, 3 cells
`x = 3, y = 3, rule = B2ain3ac4aikrz5ciknr6e/S01e2ce3aeiry4ainr5cy6ei7c2bo2\$obo!`

9c/24d, 3 cells
`x = 3, y = 3, rule = B2ain3ackry4cirtwyz5iry6ack8/S02aik3ackry4cyz5-eiry6a82bo2\$obo!`

11c/25d, 3 cells
`x = 3, y = 3, rule = B2ain3ack4aenr5kny6-a8/S02ci3-nqy4ceijqrw6en7e82bo2\$obo!`

11c/26d, 3 cells
`x = 3, y = 3, rule = B2ain3acky4irtw5jnr6kn78/S02ae3cjqry4qtyz5-enq6kn82bo2\$obo!`

10c/26d, 3 cells
`x = 3, y = 3, rule = B2-ek3ay4ceijkqr5acn6e8/S02cen3air4qw5cjk6e2bo2\$obo!`

13c/27d, 3 cells
`x = 3, y = 3, rule = B2ai3ackn4iry5kqr6k/S02aek3acjr4atwy5ckry6ae82bo2\$obo!`

12c/27d, 3 cells
`x = 3, y = 3, rule = B2ain3ack4ir5knq6ekn8/S02aei3-eikq4actwy5kqy6cek82bo2\$obo!`

11c/27d, 3 cells
`x = 3, y = 3, rule = B2ai3ackny4-acj5ij6kn7c8/S02aen3cjnr4y5-ejnr6ei2bo2\$obo!`

9c/27d, 3 cells
`x = 3, y = 3, rule = B2aik3anr4acjqrwy6n8/S01e2e3aekr4ciqr5cir6ci7c2bo2\$obo!`

All possible diagonal speeds with period <=27 in 2 state isotropic rules (without B0) now have an example ship with the minimum possible population.
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1117
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

(4,0)c/12, 3 cells:
`x = 2, y = 4, rule = B2-a3ai/S01co2\$o\$bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Thanks for those ships wildmyron, I’ll add them soon. How long did the searches take? Hdjen, please check the collection before posting. Please. wildmyron and I’ve asked every time, and you don’t seem to care.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

AforAmpere wrote:Thanks for those ships wildmyron, I’ll add them soon. How long did the searches take? Hdjen, please check the collection before posting. Please. wildmyron and I’ve asked every time, and you don’t seem to care.

It's in a simpler rule.
EDIT: Can't you see I'm trying to trim a couple bytes?
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

AforAmpere wrote:Thanks for those ships wildmyron, I’ll add them soon. How long did the searches take?

They ranged from 15s to about half an hour, though most of those longer ones could probably have found different results in a shorter time with slightly more restrictive conditions. I used the technique I described on the outrunning the glider thread.
wildmyron wrote:These were all found with LLS. The shapes are mostly a function of the boundary conditions set up by the search. You can improve the search behaviour by using the make_lls_grid.py script. I used it for the 7c/22 and 7c/23 ships. As a bonus this reduces the search space and therefore improves the search speed considerably. Here's the command I used to find the 7c/23:
`./make_lls_grid.py -p 23 -x 7 -y 7 -f 3 3 5 5 | ./lls -r pB2-ace3aijn4-r5-n678/S02ae3jnr4-k5678 -i -s 'D2\'`

This took about 15 seconds to run, most of which was in preprocessing.

A few notes:
• I've been using the latest develop version of lls which uses some different arguments for period, symmetries, and population constraints. I have a feeling the resulting SAT problems can be solved faster in some instances, but I'm not sure if it was due to differences in the two systems I was testing on.
• The '-f' option to make_lls_grid.py is less useful at higher period because it rejects some solutions with backward travelling sparks, and they seem to be the most common type.
• I used population constraints to reject subperiodic solutions where necessary

Edit: I forgot to mention that I'm also experimenting with glide reflective symmetry
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1117
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Some more diagonal spaceships, filling the gaps in the database. Up to p28 diagonal is now complete.

14c/28d, 4 cells
`x = 3, y = 3, rule = B2ac3kqry4ejn5k6a/S1e2n3aikry4aqry5nr6ace7c2bo\$2bo\$obo!`

13c/28d, 3 cells
`x = 3, y = 3, rule = B2ain3-cijr4-aijtw5ikqy6-a7c8/S02e3air4jrtw5acir6ei7c2bo2\$obo!`

11c/28d, 3 cells
`x = 3, y = 3, rule = B2ain3-eijq4cijqrz5i6k7c8/S02ai3ackr4jktwy5ackr82bo2\$obo!`

10c/28d, 3 cells
`x = 3, y = 4, rule = B2ain3acr4int5acin6cek7e/S01e2ei3eqy4aeijqy5-eijk6cikobo3\$2bo!`

9c/28d, 3 cells
`x = 4, y = 4, rule = B2-an3acekq4aknqwz5acky8/S02cen3cej4ajknwy5ekn6acn83bo2\$2bo\$o!`

14c/29d, 3 cells
`x = 3, y = 3, rule = B2ain3acr4aqry5aijq6n8/S02cei3aceir4jrwy5ciknr6ae7c82bo2\$obo!`

15c/30d, 4 cells
`x = 4, y = 2, rule = B2aci3cekny4ei5ackr6ck7/S012ac3cnr4ikny5jrob2o\$bo!`

Edit: fixed 11c/28
Last edited by wildmyron on March 7th, 2019, 1:23 am, edited 2 times in total.
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1117
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

wildmyron wrote:Some more diagonal spaceships, filling the gaps in the database. Up to p28 diagonal is now complete.
11c/28d, 3 cells
`RLE`

`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 723
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Gamedziner wrote:
wildmyron wrote:Some more diagonal spaceships, filling the gaps in the database. Up to p28 diagonal is now complete.
11c/28d, 3 cells
`RLE`

Drat, I fluffed an edit to the post. I'll fix it tomorrow.

Edit: Found the actual RLE for that ship. Thanks for letting me know.

Edit 2: A few more to round out the gaps in p29, and a few others. Search times are getting longer. Some of the fast ships can still be found in under 10 minutes, but the ones around c/3 are taking 2-3 hours or longer. I am mostly searching with a 6x6 grid using make_lls_grid.py. I am considering modifying it to create a diagonal channel in place of a square grid which moves diagonally. I've also started running a random rule search which is the source of most of the P>30 ships.

13c/29d, 3 cells
`x = 3, y = 3, rule = B2ain3ack4ikrw5ir6ck8/S02ae3-eikq4cqty5acky6cei7c2bo2\$obo!`

12c/29d, 3 cells
`x = 3, y = 3, rule = B2ain3acqry4eijk5a7c8/S02-ck3aky4ac5in6ei2bo2\$obo!`

10c/29d, ? cells
- still waiting for the search to finish

14c/30d, 4 cells
`x = 4, y = 4, rule = B2ain3ackr4eijkrw5cnry6e/S02aei3-ciky4jt5cnry6e7eo\$3bo2\$bobo!`

12c/30d, 3 cells
`x = 3, y = 3, rule = B2ain3ack4aeqrw5aijq6en/S02cei3aceir4rwy5cir6ae7c82bo2\$obo!`

11c/30d, 3 cells
`x = 3, y = 3, rule = B2ain3acr4aeqrwy5aiq6an/S02cei3acir4jkry5ciknr6ae7c82bo2\$obo!`

15c/31d, 3 cells
`x = 3, y = 3, rule = B2aei3eqry4knrw5acin8/S02cn3cjknr4cikqy5acei6-ac72bo2\$obo!`

11c/31d, 3 cells
`x = 3, y = 3, rule = B2ain3acr4acqrwy5aiq6n7c/S02cei3aciry4kry5cinr6aek7c82bo2\$obo!`

16c/32d, 5 cells
`x = 3, y = 3, rule = B2aei3e4knqrw5aci8/S2ckn3cjknr4ijkqy5aceiy6ekn72bo\$2bo\$3o!`

12c/32d, 3 cells
`x = 3, y = 3, rule = B2ain3acr4aiqr5aijq6n/S02cei3acijr4kry5cinr6ae7c82bo2\$obo!`

10c/32d, 3 cells
`x = 3, y = 3, rule = B2ain3ack4aqr5aiqy6en8/S02-ak3acir4ry5cinr6ae7c82bo2\$obo!`

16c/33d, 3 cells
`x = 3, y = 3, rule = B2ai3ackn4eijr5kry6k7c/S02-ci3ajry4akt5kry6-ck7c2bo2\$obo!`

11c/37d, 3 cells
`x = 3, y = 3, rule = B2ain3ack4aeqrwz5aiq6en/S02-ak3acir4rwy5cinr6ae7c82bo2\$obo!`

17c/43d, 4 cells
`x = 4, y = 4, rule = B2aen3cer4knrtw5acij6n8/S2cn3cjkr4ikyz5acei6ekn7bo\$2o2\$3bo!`

11c/43d, 5 cells
`x = 3, y = 3, rule = B2aen3ce4-aeijz5aci8/S2ckn3cjkr4cijky5aceij6ekn72bo\$2bo\$3o!`

Edit 3:Fixed 13c/29d and added 14c/30d, 12c/30d, and 11c/30d. 10c/29d is now the only missing diagonal speed up to P30. I have two separate LLS searches running with different parameters, they've both been going for days. 14c/30d and 10c/30d are the only other speeds with P<=30 which don't have an optimal minimum population ship.
Last edited by wildmyron on March 7th, 2019, 6:00 am, edited 1 time in total.
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1117
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Previous post was beginning to become a mess of edits.

First off, apologies to 2718281828, I seem to have forgotten about the ships posted in January. I've made an update to the collections and where my recent results duplicated yours I put your results in. Several of the 4-cell ships have been superseded by 3-cell ships posted above. Your glide reflective ships are quite different to mine. May I ask how you are generating your LLS input files - is it via a script or hand edit to force the glide reflection?

As mentioned, I've update the files including all ships posted here since 1st of January. I've also added a collection of results from some random rule searches focused on high period diagonal ships.

Here are the new and updated ships (not already posted above) in sss format:
`# New speeds3, B2ain3ack4aeqrw5aijq6en/S02cei3aceir4rwy5cir6ae7c8, 12, 12, 30, 2bo2\$obo!3, B2-an3aceq4aqty5ackq6a8/S02cen3cejn4-eikqz5ekn6c7e, 9, 9, 31, 3bo2\$2bo\$o!3, B2ain3acr4acnqrt5aiq6en8/S02-ak3aceir4cry5cinr6ae7c8, 12, 12, 33, 2bo2\$obo!3, B2ain3ack4anqr5aikq6aen/S02-ak3acir4krwyz5cinr6ae7c8, 10, 10, 33, 2bo2\$obo!3, B2-an3ace4aq5ackq6n8/S02-ai3cejn4ajkrtwy5eny6ckn, 8, 8, 33, 3bo2\$2bo\$o!3, B2ain3acr4aiqr5aiq6n8/S02-ak3aceir4cry5cinr6ae7c8, 11, 11, 34, 2bo2\$obo!3, B2-an3aceq4aq5ackn8/S02-ai3cejn4-einqz5ekn6c, 11, 11, 35, 3bo2\$2bo\$o!3, B2-an3acek4aiq5ackq6k8/S02-ai3cejq4ajntwy5einy6c, 10, 10, 35, 3bo2\$2bo\$o!3, B2-an3acek4ainq5acik6n8/S02cen3cejn4ajkwy5eny6ack, 9, 9, 35, 3bo2\$2bo\$o!3, B2ain3acr4aiqrw5aiq6cen7c/S02cei3-ejkn4kry5cikr6ae7c8, 13, 13, 37, 2bo2\$obo!3, B2-an3aey4ainq5acik8/S02-ak3cejn4ajktwy5en6cei, 12, 12, 37, 3bo2\$2bo\$o!3, B2-an3ace4aq5ack6n8/S02cen3cejn4ajkrwy5en6c8, 10, 10, 37, 3bo2\$2bo\$o!3, B2-an3aek4aqwz5acjk6kn8/S02cen3cej4ajktwy5en6cen, 12, 12, 38, 3bo2\$2bo\$o!3, B2-an3acekq4aqt5ackr8/S02cen3cejn4ajrtwyz5en6cn, 10, 10, 39, 3bo2\$2bo\$o!3, B2-an3ae4aiq5ack6n8/S02cen3cejnq4ajkwy5en6ace8, 13, 13, 40, 3bo2\$2bo\$o!3, B2-an3aeq4aqw5ack6en8/S02cen3cej4acjknwy5einqy6ck7e8, 12, 12, 40, 3bo2\$2bo\$o!3, B2-an3aek4akq5ackq8/S02cen3cej4ajktwy5en6ce, 10, 10, 41, 3bo2\$2bo\$o!3, B2-a3aey4akqty5acikn6e8/S02-ai3cejr4-ceiqt5en6ck8, 9, 9, 41, 3bo2\$2bo\$o!3, B2-an3aeq4aq5ackn8/S02cen3cejn4ajrtwy5eknq6cn, 12, 12, 43, 3bo2\$2bo\$o!6, B2-an3aceq4aq5aciky8/S02cen3cejn4ajkwy5en6cn, 12, 12, 44, 2bo\$bobo\$o\$bobo!3, B2-an3aek4ainqtw5ack6a8/S02cen3cej4ajkrtwy5en6c, 12, 12, 45, 3bo2\$2bo\$o!3, B2ain3acry4aeqr5aijq6n/S02-ak3-knq4jrtyz5-aejq6ae7c8, 10, 10, 45, 2bo2\$obo!3, B2-a3aeq4akqtwyz5cik6aek8/S02-ak3cejr4ajknwy5en6cn, 9, 9, 45, 3bo2\$2bo\$o!3, B2-an3aeqy4aqt5ackr6n8/S02cen3cejn4ajkntwy5ekn6aci, 15, 15, 46, 3bo2\$2bo\$o!3, B2-an3aey4aqt5acky6n8/S02cen3cejn4ajktwy5ekn6cn, 15, 15, 47, 3bo2\$2bo\$o!3, B2-an3ae4aqwz5aciky6ckn8/S02cen3cej4ajktwy5einq6cek7e8, 16, 16, 49, 3bo2\$2bo\$o!3, B2-an3aceq4aq5ack6n8/S02-ak3cejn4ajkrtwy5en6c8, 14, 14, 49, 3bo2\$2bo\$o!3, B2-a3aek4aiq5ackq8/S02-ak3cej4ajknwy5eny6c, 11, 11, 49, 3bo2\$2bo\$o!3, B2-an3ae4aiq5ackr8/S02cen3cejn4-ceiqz5en6ac8, 16, 16, 50, 3bo2\$2bo\$o!3, B2-a3aeqy4akqt5ack6e8/S02-ak3cej4ajkwy5eikn6cen, 16, 16, 51, 3bo2\$2bo\$o!3, B2-an3aeq4aiq5-ejny6n8/S02cen3cejn4ajktwyz5en6ace8, 15, 15, 51, 3bo2\$2bo\$o!3, B2-an3ae4aknq5-eiqr6k8/S02-ai3cejn4ajktwy5ekn6ace, 14, 14, 51, 3bo2\$2bo\$o!3, B2-an3aeq4anqw5acik6ckn8/S02-ak3cej4ajkntwy5ekny6-ak8, 13, 13, 51, 3bo2\$2bo\$o!3, B2-an3aekq4akq5ackq8/S02cen3cejn4ajtwy5en6ce8, 12, 12, 51, 3bo2\$2bo\$o!3, B2-an3aey4aiq5acik8/S02cen3cejn4ajkrtwy5en6aci8, 17, 17, 53, 3bo2\$2bo\$o!3, B2-an3ace4aiqz5ackn7e8/S02-ai3cej4acjktwy5eny6ci, 12, 12, 55, 3bo2\$2bo\$o!3, B2-an3ae4anq5acikn6c8/S02cen3cejnq4ajkrtwy5ein6c, 9, 9, 55, 3bo2\$2bo\$o!3, B2-a3acek4aqwy5acknq6e8/S02cen3cejr4ajrwy5eknq6acn8, 13, 13, 59, 3bo2\$2bo\$o!3, B2-an3acekq4aqt5-einq6ac8/S02cen3cejnq4-ceiqr5eny6cek8, 11, 11, 59, 3bo2\$2bo\$o!3, B2-an3aeq4aiq5ackn6en8/S02cen3cejn4ajknwy5ekn6ac, 8, 8, 65, 3bo2\$2bo\$o!3, B2-an3ace4ainqt5acknq6ik8/S02-ak3cej4ajnrwy5en6ck, 13, 13, 67, 3bo2\$2bo\$o!3, B2-an3aceq4aknqy5acek6a8/S02cen3cejnq4acjrtwy5einq6cn7e, 9, 9, 67, 3bo2\$2bo\$o!3, B2-a3aey4akqz5acik6ae8/S02-a3cejr4acjntwy5eikn6-i8, 18, 18, 69, 3bo2\$2bo\$o!3, B2-an3acek4akqy5acejk8/S02-ai3cejq4ajtwy5ein6ce, 13, 13, 69, 3bo2\$2bo\$o!3, B2-an3aceq4aiqy5-ejq6ak8/S02cen3cejn4ajktwyz5eny6cn8, 12, 12, 73, 3bo2\$2bo\$o!3, B2-a3ace4aiq5acijk6ac8/S02-ai3cejn4ajkrtwy5eikn6c8, 8, 8, 73, 3bo2\$2bo\$o!3, B2-an3ace4akq5ack6aen8/S02-ak3cejn4ajkwy5eny6ce8, 5, 5, 73, 3bo2\$2bo\$o!3, B2-an3aekq4aqty5ackr6ak8/S02-ak3cejn4ajnwy5ein6ace, 9, 9, 75, 3bo2\$2bo\$o!3, B2-an3acekq4akqtwy5aceky6ce8/S02cen3cejnr4ajkwy5ekny6cei, 9, 9, 77, 3bo2\$2bo\$o!3, B2-an3aey4aiq5ackq6e8/S02-ai3cej4acjkrwy5en6-ai, 10, 10, 79, 3bo2\$2bo\$o!3, B2-an3ae4aiqtw5-ijnr6ik8/S02cen3cejn4ajnrtwy5ekny6cik8, 14, 14, 87, 3bo2\$2bo\$o!3, B2-an3aey4akq5ack6ck8/S02cen3cejn4acjnwy5eny6cei7e, 12, 12, 87, 3bo2\$2bo\$o!3, B2-an3aceky4aqw5ack8/S02cen3cej4ajtwyz5ekn6-ak7e, 11, 11, 87, 3bo2\$2bo\$o!3, B2-a3aeq4aikq5ck8/S02-ak3cejqr4ajkntwy5enq6-ae, 8, 8, 87, 3bo2\$2bo\$o!3, B2-an3-ijnr4aqy5ackny8/S02cen3cej4ajntwyz5ein6ace7e, 6, 6, 89, 3bo2\$2bo\$o!3, B2-an3aeky4aq5ackr6akn8/S02cen3cejn4-einqr5ekny6-kn, 15, 15, 91, 3bo2\$2bo\$o!3, B2-an3ace4aiqty5aciky6en7e8/S02-ai3cej4ajkwy5ekn6-ai, 9, 9, 91, 3bo2\$2bo\$o!3, B2-an3aey4aqy5acknq8/S02-ak3cej4ajrtwy5eny6acn8, 5, 5, 95, 3bo2\$2bo\$o!3, B2-an3aeq4anqty5aciky6c8/S02-ak3cejnq4ajkntwy5ekn6cin, 8, 8, 97, 3bo2\$2bo\$o!3, B2-a3ae4anqt5-jnry6ck8/S02-ak3cej4ajnwy5en6c7e, 5, 5, 99, 3bo2\$2bo\$o!3, B2-an3ace4aqty5aceky6ck8/S02-ai3cej4ajkntwy5ekn6c, 8, 8, 103, 3bo2\$2bo\$o!3, B2-an3-ijnr4aiqtw5ackn8/S02-ai3cejn4ajkntwy5en6ac7e, 7, 7, 103, 3bo2\$2bo\$o!3, B2-an3aeqy4aqwy5acknq6ai8/S02cen3cejn4acjrwyz5en6cek, 6, 6, 105, 3bo2\$2bo\$o!3, B2-an3ae4aqt5ack6kn8/S02-a3cejn4ajktwy5eny6c7e, 6, 6, 117, 3bo2\$2bo\$o!3, B2-an3aek4ainq5-enry6a8/S02cen3cej4-ceiqr5ekny6ce8, 15, 15, 119, 3bo2\$2bo\$o!3, B2-an3aeq4aikqwz5-enry6c8/S02cen3cej4acjwy5enq6cn7e, 8, 8, 131, 3bo2\$2bo\$o!3, B2-an3ae4aqw5acknq6n8/S02cen3cejn4ajrtwy5ein6cn7e, 1, 1, 131, 3bo2\$2bo\$o!3, B2-an3ae4aiqty5acky6n8/S02cen3cejn4ajknrwy5en6cik8, 4, 4, 147, 3bo2\$2bo\$o!3, B2-an3ace4anqtwz5-jqry6c8/S02-ak3cejn4acjtwy5en6cen, 12, 12, 151, 3bo2\$2bo\$o!3, B2-an3aeq4akqy5cjk6ik8/S02-a3cejnr4ajkwy5einy6ckn, 11, 11, 169, 3bo2\$2bo\$o!3, B2-an3aceq4akqtw5aciky6ce8/S02cen3cejn4ajrwyz5ein6-n, 7, 7, 171, 3bo2\$2bo\$o!# Updated speeds3, B2ain3acr4aeqrwy5aiq6an/S02cei3acir4jkry5ciknr6ae7c8, 11, 11, 30, 2bo2\$obo!3, B2-an3ace4aqwz5-inqy8/S02-ai3cej4ajnwy5en6ce, 7, 7, 33, 3bo2\$2bo\$o!3, B2-an3aeq4aq5ackn6ac8/S02-ai3cejn4ajknwy5ekn6cin, 8, 8, 35, 3bo2\$2bo\$o!3, B2-an3aceky4aq5-ejn6kn8/S02cen3cejr4ajwy5en6-ai, 6, 6, 35, 3bo2\$2bo\$o!3, B2-an3ace4aiqtw5acky8/S02cen3cej4ajkwy5eny6c, 9, 9, 37, 3bo2\$2bo\$o!3, B2-an3aeq4anq5ack8/S02cen3cejn4ajkwyz5ein6cen7e8, 8, 8, 37, 3bo2\$2bo\$o!3, B2-an3ae4aq5ackq6ek8/S02cen3cejnr4ajwy5eikn6c, 7, 7, 37, 3bo2\$2bo\$o!3, B2-an3aeky4anqy5acekq6ai8/S02-ai3cejr4ajkrtwy5ekn6ac, 6, 6, 37, 3bo2\$2bo\$o!3, B2-an3ae4anqt5acknr6ae8/S02cen3cej4ajknrwy5ekn6c, 8, 8, 39, 3bo2\$2bo\$o!3, B2-an3aceq4aqt5ack6a8/S02-a3cej4ajkwy5en6cn8, 7, 7, 39, 3bo2\$2bo\$o!3, B2-an3aey4aqw5ackq6k8/S02-ai3cejn4ajtwy5eny6c, 6, 6, 39, 3bo2\$2bo\$o!3, B2ain3ack4aqrw5aijqy6cn8/S02cei3acir4kry5cinr6-cn7c8, 9, 9, 39, 2bo2\$obo!3, B2-an3aeq4anqz5acijk6n8/S02-ai3cejn4ajkwy5en6ac, 11, 11, 40, 3bo2\$2bo\$o!3, B2ain3acky4aqr5aiq6n/S02cei3acijr4ckrtyz5cin6ae7c8, 8, 8, 41, 2bo2\$obo!3, B2-an3acek4aqz5acik8/S02cen3cej4ajrtwy5eikn6-ik8, 7, 7, 41, 3bo2\$2bo\$o!3, B2-an3aeky4aq5ackqy8/S02cen3cej4ajkntwy5eikn6ac8, 6, 6, 41, 3bo2\$2bo\$o!3, B2-an3aek4akqtwyz5ackn6e8/S02cen3cej4ajktwy5en6-ik, 13, 13, 42, 3bo2\$2bo\$o!3, B2-an3aceqy4aknqy5ackq7e8/S02cen3cejnq4ajnwy5eny6ce8, 11, 11, 43, 3bo2\$2bo\$o!3, B2-an3acek4aknqw5ackq6ai8/S02-ai3cejqr4ajnwy5enqy6ac7e, 10, 10, 43, 3bo2\$2bo\$o!3, B2-an3aeq4aq5-enqy6cen8/S02cen3cej4acjkwy5ekny6c, 9, 9, 43, 3bo2\$2bo\$o!3, B2-an3ace4anqz5ackqy6ac8/S02cen3cejnr4ajwy5ekn6c7e, 8, 8, 43, 3bo2\$2bo\$o!3, B2-an3aeq4anq5ack6ck8/S02cen3cejn4ajkntwy5eikn6ace7e, 7, 7, 43, 3bo2\$2bo\$o!3, B2-an3aeky4aqtw5ackq8/S02-ak3cejn4ajwyz5en6c7e, 5, 5, 43, 3bo2\$2bo\$o!3, B2-a3aeky4aknq5ack8/S02cen3cej4ajknrwy5ein6c7e8, 11, 11, 44, 3bo2\$2bo\$o!3, B2-an3ace4aikqtwy5acjkn6a8/S02-ai3cej4ajkrtwy5ekn6ac, 11, 11, 45, 3bo2\$2bo\$o!3, B2-an3ae4aiqwz5ackq8/S02cen3cej4ajktwy5en6c, 8, 8, 45, 3bo2\$2bo\$o!3, B2-an3ace4aikq5acknq8/S02cen3cejn4ajknwy5enq6ac, 7, 7, 45, 3bo2\$2bo\$o!3, B2-an3ace4ainq5ackr6a8/S02cen3cejnq4ajnwy5en6ce, 5, 5, 45, 3bo2\$2bo\$o!3, B2-a3aek4aiqtwy5-iqry6e8/S02cen3cej4ajwy5eikn6-in8, 11, 11, 46, 3bo2\$2bo\$o!3, B2-an3aek4akqt5acikq6i8/S02-ai3cejr4acjktwy5ekn6cen, 11, 11, 47, 3bo2\$2bo\$o!3, B2-an3aeq4anqyz5acjkn6k8/S02cen3cej4ajknrwy5en6c, 10, 10, 47, 3bo2\$2bo\$o!3, B2-an3aceq4aikqtw5ack6ce8/S02-ak3cej4acjkwy5eny6cn, 9, 9, 47, 3bo2\$2bo\$o!3, B2-an3ae4anq5ackq8/S02cen3cejnq4ajwy5eny6ce7e, 8, 8, 47, 3bo2\$2bo\$o!3, B2-an3aek4aq5acjkq8/S02cen3cejn4ajtwy5eny6-ik, 7, 7, 47, 3bo2\$2bo\$o!3, B2-an3aek4aqy5ackqr6a8/S02-a3cejn4ajwy5einy6ac, 6, 6, 47, 3bo2\$2bo\$o!3, B2-a3ae4aqt5-enry8/S02cen3cej4acjntwy5eny6ckn7e, 10, 10, 48, 3bo2\$2bo\$o!3, B2-an3acek4akq5acknr6e8/S02-ak3cej4ajkrwy5en6ac, 10, 10, 49, 3bo2\$2bo\$o!3, B2-an3ae4aqt5acikq6k8/S02-ai3cej4acjtwyz5en6c, 9, 9, 49, 3bo2\$2bo\$o!3, B2-an3acek4akqy5ackq6k8/S02cen3cejn4ajktwy5en6ce8, 8, 8, 49, 3bo2\$2bo\$o!3, B2-an3aceky4aiqtz5ack6ak8/S02-ai3cejn4ajrwy5enq6cn7e, 7, 7, 49, 3bo2\$2bo\$o!3, B2-an3ace4akqw5-ejnr6a8/S02cen3cejq4acjwy5en6ac8, 6, 6, 49, 3bo2\$2bo\$o!3, B2-an3ace4akqt5ack8/S02cen3cejn4ajkrtwy5en6ac8, 13, 13, 50, 3bo2\$2bo\$o!3, B2-a3aceq4aqtw5-ijqy8/S02cen3cej4ajkwy5eiknq6cn, 11, 11, 50, 3bo2\$2bo\$o!3, B2-a3aeqy4aqt5ack7e8/S02-ai3cejn4ajkwy5en6cin7e8, 11, 11, 51, 2bo2\$obo!3, B2-a3ae4aqty5ackq6e8/S02cen3cej4ajwy5eikn6ac, 9, 9, 51, 3bo2\$2bo\$o!3, B2ain3ackr4aeqrw5aijq6cn/S02cei3acir4kry5cinr6ae7c8, 8, 8, 51, 2bo2\$obo!3, B2-a3aceky4aq5-einy6k7e8/S02cen3cejnr4acjrwy5einq6ck8, 7, 7, 51, 3bo2\$2bo\$o!3, B2-an3acekq4ainqwy5ack6ak8/S02-ai3cej4ajkwyz5en6cn, 6, 6, 51, 3bo2\$2bo\$o!3, B2-an3acek4anqwz5acky6a8/S02cen3cejn4ajkwy5ekn6cen8, 5, 5, 51, 3bo2\$2bo\$o!3, B2-an3ace4aqyz5-eijr6cn8/S02cen3cejnq4acjwy5en6ac8, 12, 12, 53, 3bo2\$2bo\$o!3, B2-an3aeqy4aknqy5ackn6kn8/S02-a3cejn4acjktwy5eny6cen, 9, 9, 53, 3bo2\$2bo\$o!3, B2-an3ae4aqz5-enry6a8/S02cen3cejq4ajnwyz5enqy6cn, 8, 8, 53, 3bo2\$2bo\$o!3, B2-an3aeq4aqy5ackqr6n8/S02cen3cejr4ajnwy5en6ce, 7, 7, 53, 3bo2\$2bo\$o!3, B2-an3acey4aqt5-eijr8/S02cen3cejn4ajwy5en6cek7e, 6, 6, 53, 3bo2\$2bo\$o!3, B2-an3aceqy4aqyz5acky6ek8/S02cen3cej4ajkrwy5ekny6ce, 4, 4, 53, 3bo2\$2bo\$o!3, B2-an3ace4aiqwy5acjkn6ac7e8/S02-ak3cej4ajrtwyz5ekn6cn, 11, 11, 54, 3bo2\$2bo\$o!3, B2-an3aceq4aiq5-inry6n8/S02cen3cej4ajtwy5en6-in8, 10, 10, 54, 3bo2\$2bo\$o!3, B2-an3aey4anq5ack6n8/S02cen3cejnr4ajktwy5ein6cek8, 11, 11, 55, 3bo2\$2bo\$o!3, B2-a3ae4aiq5ack6e8/S02cen3cej4ajkrwy5enq6c8, 8, 8, 55, 3bo2\$2bo\$o!3, B2-an3aeq4aqz5-einr8/S02-ai3cej4ajrtwy5en6ac, 7, 7, 55, 3bo2\$2bo\$o!3, B2-an3aeqy4aq5-eiry6k8/S02-ai3cej4ajtwy5ein6cen, 6, 6, 55, 3bo2\$2bo\$o!3, B2-an3aeq4aikqy5ack6n8/S02cen3cejn4acjkwy5en6ac, 14, 14, 56, 3bo2\$2bo\$o!3, B2-an3aek4aikqw5-ej6ek8/S02-ai3cejq4ajkwy5eny68, 6, 6, 57, 3bo2\$2bo\$o!3, B2-an3ace4aqwyz5-eny6ak8/S02-a3cejn4acjktwy5en6ck, 12, 12, 58, 3bo2\$2bo\$o!3, B2-a3aek4aiq5ack6e8/S02-a3cej4ajwy5ekn6ce, 11, 11, 58, 3bo2\$2bo\$o!3, B2-a3ace4akqty5aciky6e8/S02-ak3cejq4ajknrwy5eknq6ckn, 9, 9, 58, 3bo2\$2bo\$o!3, B2-a3ae4aqwz5-ejry6an8/S02cen3cejr4acjkwy5en6-ik, 12, 12, 59, 3bo2\$2bo\$o!3, B2-an3aey4aiq5acknq6n8/S02-ai3cejn4ajktwy5eny6c, 10, 10, 59, 3bo2\$2bo\$o!3, B2-a3acek4akqt5acik8/S02-ak3cejq4ajkrtwy5en6ck, 7, 7, 59, 3bo2\$2bo\$o!3, B2-an3ace4anq5-enry6c8/S02cen3cejnr4ajwy5einq6cek8, 6, 6, 59, 3bo2\$2bo\$o!3, B2-an3ace4akqw5acikn8/S02cen3cej4ajktwy5enq6ce, 5, 5, 59, 3bo2\$2bo\$o!3, B2-an3aceqy4anqwz5acikn6en8/S02-ai3cejq4ajtwy5en6cen8, 10, 10, 61, 3bo2\$2bo\$o!3, B2-an3aeq4akqw5-inqr6cn8/S02cen3cejnr4ajrwy5en6ce7e, 8, 8, 61, 3bo2\$2bo\$o!3, B2-an3aey4aqt5acjkr6en7e8/S02-ak3cejn4acjrwyz5einy6ck, 5, 5, 61, 3bo2\$2bo\$o!3, B2-an3aceq4aqtw5ackq6ek8/S02cen3cejn4ajwy5enq6cin7e8, 12, 12, 62, 3bo2\$2bo\$o!3, B2-an3aceq4aiqyz5acejk6i8/S02-ak3cej4ajrtwy5eikn6cen, 8, 8, 63, 3bo2\$2bo\$o!3, B2-a3ace4aqz5ackn8/S02-ai3cejr4ajwy5ein6cen8, 7, 7, 63, 3bo2\$2bo\$o!3, B2-an3aceky4aikqy5-eq6a8/S02-ak3-aiky4ajnrwy5eikn6-ae, 6, 6, 63, 3bo2\$2bo\$o!3, B2-an3aceq4aknqz5ack6-ai7e8/S02cen3cejr4acjrwyz5eny6ace, 4, 4, 63, 3bo2\$2bo\$o!3, B2-an3aeq4aq5ack8/S02cen3cej4acjrtwy5eknq6cn, 10, 10, 65, 3bo2\$2bo\$o!3, B2-an3aek4aikqz5ackn6n8/S02-a3cej4ajktwy5enq6-ai, 7, 7, 65, 3bo2\$2bo\$o!3, B2-an3aeky4aqt5acekq6kn8/S02cen3cej4acjrtwy5en6cn7e, 6, 6, 65, 3bo2\$2bo\$o!3, B2-an3ae4aqwz5ackq8/S02-ai3cejr4ajwy5eikny6-en8, 4, 4, 65, 3bo2\$2bo\$o!3, B2-an3aekqy4ainqz5-einr6akn7e8/S02-ai3cejn4-ceinq5enq6ace8, 5, 5, 67, 3bo2\$2bo\$o!3, B2-an3aekq4akqtwy5acjk6n8/S02cen3cejnq4acjktwy5eny6ac, 12, 12, 68, 3bo2\$2bo\$o!3, B2-an3aceq4aikqt5ackq8/S02cen3cej4ajktwy5en6c, 6, 6, 69, 3bo2\$2bo\$o!3, B2-an3ae4anqz5ackqr6c8/S02cen3cejq4ajrwy5ekn6acn, 8, 8, 71, 3bo2\$2bo\$o!3, B2-an3aceqy4akqz5acknr7e8/S02-ak3cejq4ajrtwy5ein6cn8, 5, 5, 71, 3bo2\$2bo\$o!3, B2-an3aeq4aikqw5-enry6a8/S02-ak3cejnr4ajktwyz5ein6cn, 4, 4, 71, 3bo2\$2bo\$o!3, B2-an3aceky4aqtw5ackq6a8/S02cen3cej4ajktwyz5eknq6-k, 11, 11, 72, 3bo2\$2bo\$o!3, B2-a3aeqy4aqw5acikq6a8/S02-ak3cejnq4ajrwyz5enqy6c, 9, 9, 73, 3bo2\$2bo\$o!3, B2-an3ae4akq5acikr6e8/S02cen3cej4ajnwyz5eiknq6ace, 6, 6, 73, 3bo2\$2bo\$o!3, B2-an3acek4aiknqty5-eny6ac8/S02cen3cej4ajwy5einq6ac, 4, 4, 73, 3bo2\$2bo\$o!3, B2-an3ae4anqt5acekr6c8/S02cen3cejnr4ajwy5enq6cek, 2, 2, 73, 3bo2\$2bo\$o!3, B2-an3ae4aqw5ackry8/S02-a3cej4acjnrwy5einq6cn7e, 11, 11, 74, 3bo2\$2bo\$o!3, B2-a3aekq4aiq5ackny6ei8/S02-ak3cejn4ajwy5einqy6ce, 11, 11, 75, 3bo2\$2bo\$o!3, B2-an3ace4aqz5ackn8/S02cen3cejn4ajktwy5en6ce8, 5, 5, 75, 3bo2\$2bo\$o!3, B2-an3ace4anq5-ejny8/S02-ai3cejn4acjtwyz5eny6c8, 4, 4, 75, 3bo2\$2bo\$o!3, B2-a3aekq4aikqtz5acknr6aci8/S02-ai3cejq4ajktwy5ekn6ckn, 3, 3, 75, 3bo2\$2bo\$o!3, B2-an3ae4aqtw5ackqr8/S02cen3cejn4-ceiqz5eikn6ack, 8, 8, 79, 3bo2\$2bo\$o!3, B2-an3acekq4anqyz5ackr6ck7e8/S02-ak3cejn4ajktwy5ekn6ace7e8, 7, 7, 79, 3bo2\$2bo\$o!3, B2-an3aeky4anqw5ackq6ae8/S02cen3cej4ajwy5eny6cin7e, 2, 2, 79, 3bo2\$2bo\$o!3, B2-an3aekq4aiq5ackqr6ak8/S02cen3cejr4ajwy5ein6cn, 12, 12, 86, 3bo2\$2bo\$o!3, B2-an3ae4anqwyz5-jnr6-ik7e8/S02-ai3cejnr4ajknwy5eny6c, 10, 10, 86, 3bo2\$2bo\$o!3, B2-a3aekq4ainqz5-einr6a8/S02cen3cejnq4-ceiqz5ekn6c, 11, 11, 88, 3bo2\$2bo\$o!3, B2-a3ace4aiqy5acjkq6ae8/S02cen3cej4ajktwy5ekn6c8, 10, 10, 88, 3bo2\$2bo\$o!3, B2-an3aey4aq5acjkq6a8/S02-ai3cejn4ajtwy5eny6ck8, 9, 9, 88, 3bo2\$2bo\$o!3, B2-an3aceq4akq5-eijy6ck8/S02cen3cejn4ajwyz5en6c7e, 3, 3, 89, 3bo2\$2bo\$o!3, B2-an3aey4aqy5-enry6k8/S02cen3cej4ajwyz5eikn6cin8, 11, 11, 90, 3bo2\$2bo\$o!3, B2-an3aeq4aiqtz5acikn7e8/S02-a3cejq4ajknwy5enq6cn, 8, 8, 91, 3bo2\$2bo\$o!3, B2-an3aey4aiq5ack8/S02cen3cejnr4ajrwy5einy6cei, 3, 3, 91, 3bo2\$2bo\$o!3, B2-an3aekq4aq5ack6e8/S02cen3cejnr4ajknwyz5eny6cn8, 15, 15, 94, 3bo2\$2bo\$o!3, B2-an3acey4akqz5-ejr6cek8/S02cen3cejnq4ajnrwy5eknqy6ck8, 12, 12, 94, 3bo2\$2bo\$o!3, B2-a3aekq4anqwy5-nqry6a7e8/S02cen3cejnr4ajwy5eknq6ce8, 4, 4, 95, 3bo2\$2bo\$o!3, B2-a3aeq4ainqtyz5-jqry8/S02cen3cejq4-einqr5ekny6ckn8, 11, 11, 97, 3bo2\$2bo\$o!3, B2-an3aeky4aiqw5ack6-an8/S02-ai3cejr4acjwy5eiknq6-kn7e, 5, 5, 97, 3bo2\$2bo\$o!3, B2-an3ace4aiq5-enqy6c8/S02-ai3cejn4-eiknq5en6ace, 2, 2, 99, 3bo2\$2bo\$o!3, B2-an3aeq4aiqy5ack6cen8/S02cen3cejnq4ajknwyz5eny6ckn8, 10, 10, 100, 3bo2\$2bo\$o!3, B2-an3aceq4akqy5-ejny8/S02cen3cejnr4acjnrwy5ein6ck, 6, 6, 101, 3bo2\$2bo\$o!3, B2-a3ae4ainqy5ackr6akn8/S02cen3cej4ajnwy5en6ce7e, 5, 5, 103, 3bo\$bo2\$o!3, B2-a3ae4aqtw5acijk6ek8/S02cen3cejnq4ajwyz5ekn6cei, 11, 11, 106, 3bo\$bo2\$o!3, B2-an3aceq4ainq5ackr6cen8/S02cen3cejnq4ajktwy5enq6-i, 7, 7, 111, 3bo2\$2bo\$o!3, B2-an3acey4aqt5acikn6n8/S02cen3cej4ajktwy5ein6c8, 3, 3, 111, 3bo2\$2bo\$o!3, B2-a3aek4aikqwz5acjk6k8/S02cen3cejnr4ajkwy5eknq6cei8, 12, 12, 112, 3bo2\$2bo\$o!3, B2-an3aceky4aqwy5-ejnr6e8/S02-ai3cej4ajwy5ekn6ci, 4, 4, 113, 3bo2\$2bo\$o!3, B2-a3aceky4aiq5ack8/S02-a3cejqr4ajkwy5eny6ce, 8, 8, 114, 3bo2\$2bo\$o!3, B2-an3aey4akqtw5ack8/S02cen3cejn4-ceiqt5en6-ae8, 7, 7, 119, 3bo2\$2bo\$o!3, B2-an3ae4akqy5-enqy6in8/S02cen3cej4ajnwyz5enq6cek, 3, 3, 127, 3bo2\$2bo\$o!3, B2-an3aceqy4aikqz5acekn6e7e8/S02cen3cejn4acjrwy5en6cen8, 10, 10, 128, 3bo2\$2bo\$o!3, B2-an3aeq4aikq5ackn6n8/S02cen3cejr4ajrwy5en6c, 1, 1, 161, 3bo2\$2bo\$o!3, B2-an3acey4aqy5aceky6aik8/S02cen3cej4-eikqt5ekn6-ek7e, 14, 14, 162, 3bo2\$2bo\$o!3, B2-an3ace4-cejkr5ackn6n7e8/S02cen3cejn4acjkwyz5enq6cei, 7, 7, 168, 3bo2\$2bo\$o!3, B2-an3aceq4anqtwy5acjkr6k8/S02cen3cejn4-eikqt5ekn6acn, 5, 5, 190, 3bo2\$2bo\$o!`
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1117
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

New speeds:
8c/974 diagonal, found on Discord by FlameandFury, 79 cells:
`x = 34, y = 28, rule = B3aijq4aeqr5a6c/S2ae3cijnr4aciq5ae7e5b2o23bo\$5bobo21b2o\$5b3o20b3o\$31b3o\$26bo4b2o\$3o5bo16b2o4bo\$obo3bo17b3o\$b2o24b3o\$8bo18b2o\$3bo23bo2\$11bo2bo\$17b2o\$3o10bo3bobo\$ob2o13b3o\$b2o2\$12b3o\$12bobo\$3b2o8b2o\$3b2o4\$7bobo\$7bobo\$7bobo\$7b2o!`

27c/574 diagonal, 55 cells:
`x = 32, y = 42, rule = B3aijq4aeqr5a6c/S2ae3cijnr4aciq5ae6c75b2o\$4bobo\$4b3o2\$b2o\$obo6b3o\$3o6bobo\$9b2o2\$5b3o\$5bobo\$5b2o6\$29b3o\$29bo\$28bob2o\$29bo6\$28bo\$28b2o\$29b2o\$25bo2\$27bo\$22bo2\$24bo\$19b2o\$20b2o\$21bo2\$23b2o\$24b2o\$25bo!`

15c/198 orthogonal, 3 cells:
`x = 6, y = 3, rule = B2-an3ajqry4-aenwz5acijy6ai78/S01c2i3ceky4cinr5-aik6in8o\$5bo\$o!`

Better speeds:
10c/41 orthogonal, 3 cells:
`x = 6, y = 3, rule = B2cik3aceny4cijktyz5-ain6-i/S02cik3j4acin5-ackn6-n7o\$5bo\$o!`

4c/57 orthogonal, 3 cells:
`x = 6, y = 3, rule = B2cin3-cjqr4jknqyz5acjry6ci7e8/S02ak3aqr4knrtwz5ai6a5bo\$o\$5bo!`

3c/63 orthogonal, 3 cells:
`x = 6, y = 3, rule = B2ci3aeik4-cein5-ckn6kn7c8/S02ce3ceknr4ajnqw5-aijq6n8o\$5bo\$o!`

3c/116 orthogonal, 3 cells:
`x = 6, y = 3, rule = B2-a3ek4-eijwy5ejkny6aek78/S01c2k3ceikq4-ein5-i6kn78o\$5bo\$o!`

EDIT, (13,2)c/160, 48 cells:
`x = 26, y = 30, rule = B3aijq4aeqr5ae6c/S2ae3cijnr4aciq5ae6c7e16bo\$15b2o\$14b2o\$19bo\$12bo\$11b2o4bo\$10b2o10bo\$15bo\$20bo\$13bo10b2o\$18bo4b2o\$23bo\$16bo\$20b2o\$19b2o\$19bo7\$4b3o\$4bo2bo\$4bo2bo\$5b3o\$3o\$o2bo\$o2bo\$b3o!`

(16,4)c/130, 64 cells:
`x = 25, y = 33, rule = B3aijq4aeqr5ak6c/S2ae3cijnr4aciq5ae6c7e6bo\$5b2o\$4b2o\$9bo\$2bo\$b2o4bo\$2o10bo\$5bo\$10bo\$3bo10b2o\$8bo4b2o\$13bo\$6bo\$10b2o2b2o\$9b2o2bob2o\$9bo3b3o\$14bo5\$6b2o15bo\$5bob2o13b3o\$5b3o13b2obo\$6bo15b2o5\$15bo\$14b3o\$13b2obo\$14b2o!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 1001
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

I suppose c/10d, 3 cells, is known.
`x = 3, y = 3, rule = B2ein3acir5y/S02ace3a4tobo2\$2bo!`
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1543
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

What is the smallest 2c/68 diagonal without b0?
I’m on mobile and can’t check the collection.
woomy on a vroomy
googoIpIex

Posts: 253
Joined: February 28th, 2019, 4:49 pm
Location: Sqrt(-1)

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

`x = 5, y = 3, rule = B2cin3ajnr4aenqrz5aejr6i7c/S02-e3ce4w5aeqry6aci7eo2\$o3bo!`
Sarp

Posts: 193
Joined: March 1st, 2015, 1:28 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

wildmyron wrote:First off, apologies to 2718281828, I seem to have forgotten about the ships posted in January. I've made an update to the collections and where my recent results duplicated yours I put your results in. Several of the 4-cell ships have been superseded by 3-cell ships posted above. Your glide reflective ships are quite different to mine. May I ask how you are generating your LLS input files - is it via a script or hand edit to force the glide reflection?

I am generating the lls input files using a small script. I am using this to find RROs, SMOSs, splitting rules etc. as well. Basically I specify an input pattern and output pattern, together with some shifts, rotations, symmetries etc. The nice thing about that is that I can easily look for rules with multiple pattern - which is very helpful to search for interesting rules.

2718281828

Posts: 684
Joined: August 8th, 2017, 5:38 pm

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