Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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dvgrn
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Re: Spaceship Discussion Thread

Post by dvgrn » October 12th, 2024, 8:39 pm

Question: Would anyone object if I moved recently posted (2,1)c/6 rake discoveries over to the (2,1)c/6 technology thread, leaving just a link and summary here (in this post)?

EDIT: Some general theoretical questions about thread creation came up, but no definite objections to the move. I've gone ahead and moved the (2,1)c/6 rake posts to the relevant thread -- partly because they had become adjustable rakes, not just adjustable spaceships, and partly because they were a continuation of some of the mechanisms that were explored in that (2,1)c/6 technology thread. It seemed good to get the new developments into the same thread as the previous discussion.

Just so that the Spaceship Discussion Thread doesn't miss out on all of this, here's a cross-posting of one of the responses to the original post -- the final moment when the new discovery was still simply an adjustable-period (2,1)c/6 spaceship and not a rake yet:
amling wrote:
October 8th, 2024, 3:52 am
Using a higher up spark gets it down to 240+24N:

Code: Select all

#C [[ TRACK -1/6 -2/6 ]]
x = 747, y = 2004, rule = B3/S23
83bo$82b4o4b3o$81bo2b2o2bo3bo$84bo2b2o$87b2ob2o$81b3o7bo$80b3o7b2o$80b
3o6bobo$75b3o$75b2ob2o2b2o$73bo3bo3b3ob3o$73b4ob2o4b2o$72bo7b4o$71b3ob
o9bo$73bo6b8o$77b2o3bo4bo$79b3o2bo$78bobo3bo2bobo$78bobo9bo$90bo$86b2o
$86bob3o$84bo$84bob2o$83bo2bob2o$83bob5o$85bo2b2ob2o$93bo$89bo3bo$89bo
3b2o$94bo$91b2o$86b3ob2o3bo$86bo2b2o2bob3o$86bob2o3b2o$87bo5b2o$85b2o
4b2obo$85b3ob2o3bo$87b3o4b2obo$86bo7bobo$86bo3bobo$86bo4bobo$88bo4bo$
94bo$89b3obo$90bob3o$91bob2o$90bo$89bo3b2o$88b2o2b3o$93b2o$87bo2bo$86b
o3b2o$86bo4bobo$86bo3bo3bo$87bo7bo$88bobo2bo$93bo2bob2o$88bo9b2o$88bob
o2b2o3b2o$93b2o4bo$95bo2bobo$92b4o$92b6o2bo$99bo2b2o$99bobobo$104bo$
97bo5b2o$97bo6bo$97bo7bo$96bo4bob2o$95bo6bo$95bo2bo4bobo$95b4o3bo2bo$
100bo2bo$98bo2bobobo$95bo2bo3bo2b2o$95b4o3bobo2bo$95b4o5b2o$99b3obob2o
$96bo4b3ob2o21bo$96bo3bob2ob2o20b4o$100bobo2b2o19bo2b2o$130bo$100b2o2b
o2b2o17bo5bo3bo$100b2o2bo20b4o4b3obo$106bo18bo3bo4bo$106b3obo13bob3o5b
o2b2o$104bob3o18bo6b5o$105bobo3b2o10b4obo2b2o2bobo$108bo2bo13b2o2bo5b
4o$108b4o13b2o3bo3bo3bo$108bobob2o20b5o$109bo22b3o3bo2bo$107b3o2b2o22b
3obobo$112b2o20bo$106b3o3bo20b3obo4bo$107bobobobo19bo4b3o$107bo3b2o21b
2o3b2obo$112bo21bo4b4o$108bo2bo23bobo2bo$108b2ob2o21b3obo3bo$108bob3o
22b2o5b2o$107b2o3bo22b3o3b2obo$106b2o3b2o22b3o3b2o2bo$106bo3b2o23bo2bo
3bob2o$106b3o2bo2bo21bo$106b2o3bo3bo20bo3bo$109bo6bo22b2o$109bobob2obo
b2o14b3ob3o$110b2o4bo17b2obo$116b2o16b2o3bo3bo$109b2o2b4o19b4obob2obo$
108b5o3b2o18bo3b2ob5o$114bob2o26bo$109bo4bo28b2ob2o$110bo3bo2bo26b3o$
112bob2obo29bo$111b3o2bo26bo4b2o$111b2ob2o27bo5b3o$112bo5bo24bo5b3o$
113b2o3bo25b3o$108b3o5bo25b5o$108bo8b2o23bo5bob2o$108bobo30bob2ob4ob2o
$149bo$110b5o29bo2bo2b2o$111bobo31b2o13b3o$114bo30b3o12bo2bo$112b2o2b
3o24bo16bob2ob2o$116bo2bo23b5o11b2o7b2o$117b3o22bo15bo5bo4bo$119b2ob2o
18b2ob2o11bo5bob2o3bo$120bo3bo16bo4b2o9bo5bo3bobobo$120bo4bo15bobo13bo
4b2o3bobobo$121bo2b2o14b2o16bo3bo3bo$121bo18b2ob3ob2o9bobobobo2bobo$
120b3o5b3o9b2o4bo3bo14bobob2o$120bo4b2o14b2o5bo2bo11b2o5bo2b2o$125b2o
4bo15bo22b5o$126bo4bo16b2o2bo14bo2bo4bo$127bo19b5o15bobob2o14bo$128b2o
15bo20b2ob2o3b2o10b3o$130b3o36bo2b2o11b2o2b2o$145b2o22b2obobo11bob3o$
130b2obo10b2o5b3o16bo2b2obo8b3ob3o2b2o$130bobobo9b2ob3o2b2o13b2obo5bo
7bo6bobob2o$132bobo2b3o6bobo19b4ob3o7b2o4b5o$130bo3bo3b2o10bob2o18bo2b
obo5b2o3b3o2bo3b2o$131b2obob2o8bo3bob2o21bobo5b2o3b2o2b2o$134bobo9bo3b
obo23b2o5b3o2bo3b2o2bo$136bo9bo5bo15b3o5bo2bo5bobobobobob2o$133b3o10bo
3bob2o25bo11b2o2b2o$133b3o11bo25b2o4bo10bo9bo$132b2o14b3o17bo4bo3bo17b
2obo2bo$132bo35b3o2bobo18b2o4bo$131bo3b2o11bo22bo2b3o16bobobo2b2o$132b
o2bo12bo4bo14bo2bo2bo2bo14b2obo4bo$148bob2ob2o21b2o2bo17bo2bo$137b2o
15b2o13b3o3bob3obo13b2obob2o$135b2ob3o11b2obobo11b2o6bobobo12bobo2b2o$
135b2obob2o5b2o4b2o3bo15bo18b2o3bo3bo$136bobo3bo3b2obo3bo3b2o15bo3bo
14b2ob6o$138b3ob2ob3obo7bo22bob2o11b5obo$144b2o9bo3bo17b4o20bob2o$141b
o5b2o6bo3bo16bo3bo3bo10bo5bob2o$141bo7bo9b2o16b3ob4o10bo6b3o$150bo5b2o
2b3o16bob4o10bo8b3o$145b2o3bo5bo2bobo13b5ob5o13b2o3bo$148b3o5bo18bo2bo
5bo9bo3b2o$147bo2bo5bo7bo10bob2o5b2o8b3ob2obo$146bob2o7b3o3bo11bo3bo4b
ob2o6bo2b3o2bo$146bobo9b2o4bob2o11bo3bo16bo2bo$145bobo11b3o3b2obo7b3o
16bobo3bo3b2o$145bo11bo2bo5bobo26bobo7bobo$149bo8b2o17b3o15bobo4b2obo$
145bo17b2o11bo3bo23bo$148bob2o9bobo13bob2o$149b2obo7bo18b3o21bo2b2o$
149bo3bo9bo10b3o4b2o20b2obo2bo$150bobo10bo10b2o2bob2o20bo5bobo$151bo4b
o3bo2bo12b2o3bo21b3o5bo$157b2o3bo15bo$155bob2o16b8o18b3obobo3bo$153bob
o18bo5bo2bo16b2o6bo$153bobo22bo2bobo16b2ob3o3b2obo$175bob2o2b3o18bo2bo
3b2obo$181b3o18b2obo$163bo21b2o16b2o$161bobo15b2o4bo16bo2bo$162b2o16bo
2bobo17b3o$177b2o3b2ob2o15bo3bo$178b2o3bobo18bo$178b3o2bobo15b2ob2o2bo
$179bob2o2bo14bobo5bo$168bo10bobobo16bo5bo$166bobo14bo3bo13b7o$167b2o
11b2o3bo15bo6bo$180b4o17b4ob3o$183b3o15b2o6bo$183b3o17b5ob2o$184b2o17b
2obo3bo$173bo7b3o23bob2o$171bobo7bo5bo18b3ob3o$172b2o8b2o2b4o15b2o4bo$
185bob3o14bob4obo$186bo16b2o3b2ob2o$186b3o17bo2bobo$188b2obo15bobob2o$
178bo28bobo$176bobo10b2ob2o13bob2o$177b2o10b3o15bo2bo$191bo14bo2b2o$
206bo2bobo$191b6o10bo3bo$192b5o15bo$183bo27bo$181bobo6b2o5b2o8b4o$182b
2o6b3o7b2o5bo4b2o$191bo5bo2b2o6bo6bo$211bo3bo$197b2o12bo3bo$195b2ob2o
12bob2o$188bo6b2o17b2o$186bobo6b2o17bo2b2o$187b2o6b3o17bo2bo$195b2o18b
o$195b2o20bo$217bob3o$217bo4bo$217bo4bo$217b7o$216bobo$198b2o18bo4b5o$
197bo2bo15b3o7b2o$197bo2bo22b2o$196b2ob2o21b4o$197b2o22bo2b2o$220bo$
220bo$220bo2bo$207bobo2b2o6bo$207bo2b2o2bo6b2o$198b2o10b2o2bo$198b2o8b
2o2bobo3b2o$217bo2bo$217b2o2bo$218bo2bo$218bo2bo3$202b2o7bo$202b2o7bob
o$211b2o$219b2o$218bo2bo$219b2o3$206b2o$206b2o2$223b2o$222bo2bo$195b2o
7bo6b3o9b2o$195bo2bo5b2o3bo3bo$195bo3b4o2bo3bo3bo$197b3o4bo8bo$195b2o
3b5o5bo2bo$193bo2bo5bo2bo4bo$204b2o21b2o$189bo3bobo8bo5bobo13bo2bo$
188bob4o2bo13b2o15b2o$187b2o2bo2bob2obo$186bo6b2o3b2o$185b8o5bo$184bo
4bo2b5obo$184bob2o10bo$186b2o6b5obo30b2o$191bo8bo29bo2bo$190bo2b2obo4b
o29b2o$191bo$202b2o2$199b3obo$198b2ob2o$199bob2o32b2o$196b2ob3o32bo2bo
$196bo5bo32b2o$198bo$197b2o3b2obo$201b3o2bo$205b2o$206b2o$205bobo31b2o
$200bo2b3o32bo2bo$199b3o5b2o30b2o$198b2o4b3ob2o$199bob3obo3bo$198bob2o
6bo$198bo2bob3ob2o$198bo3b3o2bo$198bo3b2o2b2obo33b2o$199bob2o3b2obo32b
o2bo$198b3o3b3o36b2o$200bo3bobo$205b3o$202b2ob3o$202b3o$202bo$203b2o2b
o39b2o$203bobo40bo2bo$201b3obobo39b2o$201b2o2bo2bo$201b2o2bobo$203b2o$
199b2o2b3o$198b3o3b2o$199b2o6bo43b2o$200bobo4bo42bo2bo$207bo43b2o$202b
o7b3o$202bo3b2o5bo$202bo3b2o5bo$206bobo4bo$205bo2bo3bo$205bo4bobo42b2o
$205bo3bo44bo2bo$206b4ob2ob3o38b2o$213bo2b2o$215bobo$216b3o$209b3o4b3o
$209b2o5bobo$209bo5b3o41b2o$208b2o5bo42bo2bo$207b2o2bo3b3o41b2o$208b5o
2b2o$209bob2obobo$212bobobob2o$208bo2b2ob2o2b2o$207bo4bo4bo$208bo4b3o
47b2o$208bo2b4obo45bo2bo$212bo7bo42b2o$213bo6bo$215b5o$213bo4b3o$213b
2o$213b2o3bobo$218b2o47b2o$221b2o43bo2bo$222bobo42b2o$218bo5b2o$220b2o
$220b2o$221bo3bo$220bo2b2o$221b2o2b2o44b2o$219bo2bobo45bo2bo$219b3o2bo
46b2o$223b2obo$221bob2obo$225bo$221b4o$220b2o$223bo2bo48b2o$219bob3o2b
o47bo2bo$219bobobobo49b2o$218bo2bobo$218bo2bo2b2o$219bo3bo4bo$221bo3bo
bob2o$222bob2o3bo$223b3o3bobo47b2o$222bobo2bo2bo47bo2bo$221bo3b3o51b2o
$221bo2b2o$221bo2bobo2b2o$226b2ob2o$227bobo$225bob2obo$229bo53b2o$227b
2o53bo2bo$224b2o2bo37bo16b2o$222bo3bo3bo34b4o4b3o$221b2o8bo32bo2b2o2bo
3bo$220b2obo6bo36bo2b2o$222bo47b2ob2o$222b2ob2o37b3o7bo$223b2ob2o35b3o
7b2o12b2o$223b2o38b3o6bobo11bo2bo$227bo2bo27b3o26b2o$226bob4o26b2ob2o
2b2o$229bo2bo23bo3bo3b3ob3o$230bo25b4ob2o4b2o$233b2obo18bo7b4o$233bo2b
2o16b3obo9bo$233b2o3bo17bo6b8o20b2o$233b2o2b2o21b2o3bo4bo19bo2bo$242bo
19b3o2bo23b2o$233bobo6bo18bobo3bo2bobo$233bo4b3ob2o17bobo9bo$240bo32bo
$238b3o28b2o$240b2o27bob3o$241b4o22bo27b2o$242b3o22bob2o23bo2bo$266bo
2bob2o22b2o$243b4o19bob5o$243bobobo3bo16bo2b2ob2o$247b2obobo23bo$245bo
bobo2bo19bo3bo$244bo2bob3o20bo3b2o$246bo2bo27bo21b2o$246bo2bo24b2o22bo
2bo$246bo2bo19b3ob2o3bo20b2o$248bo20bo2b2o2bob3o$245bo23bob2o3b2o$244b
3o23bo5b2o$244b2o2b2o18b2o4b2obo$248b2o18b3ob2o3bo$270b3o4b2obo22b2o$
249b3o17bo7bobo22bo2bo$248bo4b2o14bo3bobo27b2o$251bob2o4b3o7bo4bobo$
248b2obo3b2obo3bo8bo4bo$250b3ob3o3bo16bo$252b7o13b3obo$261bo11bob3o$
261b2o11bob2o29b2o$262b2o9bo32bo2bo$263b2o7bo3b2o29b2o$259b3ob2o6b2o2b
3o$260bo2bo12b2o$259bob2o7bo2bo$258b2ob2o6bo3b2o$258bobo8bo4bobo$259bo
9bo3bo3bo33b2o$270bo7bo31bo2bo$261b2o8bobo2bo34b2o$276bo2bob2o$271bo9b
2o$271bobo2b2o3b2o$276b2o4bo$278bo2bobo$275b4o36b2o$275b6o2bo30bo2bo$
282bo2b2o28b2o$282bobobo$287bo$280bo5b2o$280bo6bo$280bo7bo$279bo4bob2o
31b2o$278bo6bo32bo2bo$278bo2bo4bobo30b2o$278b4o3bo2bo$283bo2bo$281bo2b
obobo$278bo2bo3bo2b2o$278b4o3bobo2bo$278b4o5b2o34b2o$282b3obob2o32bo2b
o$279bo4b3ob2o21bo11b2o$279bo3bob2ob2o20b4o$283bobo2b2o19bo2b2o$313bo$
283b2o2bo2b2o17bo5bo3bo$283b2o2bo20b4o4b3obo$289bo18bo3bo4bo9b2o$289b
3obo13bob3o5bo2b2o4bo2bo$287bob3o18bo6b5o5b2o$288bobo3b2o10b4obo2b2o2b
obo$291bo2bo13b2o2bo5b4o$291b4o13b2o3bo3bo3bo$291bobob2o20b5o$292bo22b
3o3bo2bo$290b3o2b2o22b3obobo5b2o$295b2o20bo12bo2bo$289b3o3bo20b3obo4bo
5b2o$290bobobobo19bo4b3o$290bo3b2o21b2o3b2obo$295bo21bo4b4o$291bo2bo
23bobo2bo$291b2ob2o21b3obo3bo$291bob3o22b2o5b2o8b2o$290b2o3bo22b3o3b2o
bo6bo2bo$289b2o3b2o22b3o3b2o2bo6b2o$289bo3b2o23bo2bo3bob2o$289b3o2bo2b
o21bo$289b2o3bo3bo20bo3bo$292bo6bo22b2o$292bobob2obob2o14b3ob3o$293b2o
4bo17b2obo18b2o$299b2o16b2o3bo3bo11bo2bo$292b2o2b4o19b4obob2obo9b2o$
12bo278b5o3b2o18bo3b2ob5o$11b4o4b3o275bob2o26bo$10bo2b2o2bo3bo270bo4bo
28b2ob2o$13bo2b2o275bo3bo2bo26b3o$16b2ob2o274bob2obo29bo$10b3o7bo273b
3o2bo26bo4b2o10b2o$9b3o7b2o273b2ob2o27bo5b3o7bo2bo$9b3o6bobo274bo5bo
24bo5b3o8b2o$4b3o289b2o3bo25b3o$4b2ob2o2b2o278b3o5bo25b5o$2bo3bo3b3ob
3o274bo8b2o23bo5bob2o$2b4ob2o4b2o276bobo30bob2ob4ob2o$bo7b4o319bo$3obo
9bo278b5o29bo2bo2b2o12b2o$2bo6b8o277bobo31b2o16bo2bo$6b2o3bo4bo280bo
30b3o16b2o$8b3o2bo281b2o2b3o24bo$7bobo3bo2bobo280bo2bo23b5o$7bobo9bo
280b3o22bo$19bo282b2ob2o18b2ob2o$15b2o286bo3bo16bo4b2o$15bob3o283bo4bo
15bobo24b2o$13bo290bo2b2o14b2o25bo2bo$13bob2o287bo18b2ob3ob2o19b2o$12b
o2bob2o284b3o5b3o9b2o4bo3bo$12bob5o284bo4b2o14b2o5bo2bo$14bo2b2ob2o
286b2o4bo15bo$22bo286bo4bo16b2o2bo$18bo3bo287bo19b5o$18bo3b2o287b2o15b
o26b2o$23bo289b3o38bo2bo$20b2o306b2o25b2o$15b3ob2o3bo288b2obo10b2o5b3o
$15bo2b2o2bob3o286bobobo9b2ob3o2b2o$15bob2o3b2o291bobo2b3o6bobo$16bo5b
2o289bo3bo3b2o10bob2o$14b2o4b2obo290b2obob2o8bo3bob2o$14b3ob2o3bo293bo
bo9bo3bobo23b2o$16b3o4b2obo292bo9bo5bo22bo2bo$15bo7bobo290b3o10bo3bob
2o22b2o$15bo3bobo294b3o11bo$15bo4bobo292b2o14b3o$17bo4bo292bo$23bo259b
3o28bo3b2o11bo$18b3obo259bo2b2o3b5o20bo2bo12bo4bo$19bob3o258bo4bob4o3b
o34bob2ob2o25b2o$20bob2o261bo3bo30b2o15b2o23bo2bo$19bo262bo10bo3bo20b
2ob3o11b2obobo22b2o$18bo3b2o258b2obo2bo2b2o4bo20b2obob2o5b2o4b2o3bo$
17b2o2b3o258bo4bo2bo28bobo3bo3b2obo3bo3b2o$22b2o253bob2o10bo4bo24b3ob
2ob3obo7bo$16bo2bo256b2o5bo3bo5bo33b2o9bo3bo$15bo3b2o254bo3bo3b2o2bo
36bo5b2o6bo3bo$15bo4bobo251b4o3bo5bo36bo7bo9b2o23b2o$15bo3bo3bo249bo4b
2o2b4o47bo5b2o2b3o20bo2bo$16bo7bo248bo2b5o47b2o3bo5bo2bobo22b2o$17bobo
2bo250bo3b3ob4ob2o43b3o5bo287b3o$22bo2bob2o246bo7bobob2o41bo2bo5bo7bo
278bo2b2o3b5o$17bo9b2o251b2o3b2o42bob2o7b3o3bo279bo4bob4o3bo$17bobo2b
2o3b2o251b2o3bo2b3o38bobo9b2o4bob2o278bo3bo$22b2o4bo250bo6bob3o37bobo
11b3o3b2obo274bo10bo3bo$24bo2bobo250bo7b2obo36bo11bo2bo5bobo19b2o253b
2obo2bo2b2o4bo$21b4o263bobo42bo7b2o27bo2bo252bo4bo2bo$21b6o2bo257bo2b
2o36bo4bo12b2o23b2o248bob2o10bo4bo$28bo2b2o253bo44bob2o9bobo273b2o5bo
3bo5bo$28bobobo252b3o46b3o6bo275bo3bo3b2o2bo$33bo250bo2bobo45b3o8bo
271b4o3bo5bo$26bo5b2o250b3o2b2o44b3o8bo270bo4b2o2b4o$26bo6bo252bo5b2o
41b2o2bo3bo2bo270bo2b5o$26bo7bo255bob2o44bo6bo29b2o240bo3b3ob4ob2o$25b
o4bob2o257bo2bo39bob2o36bo2bo241bo7bobob2o$24bo6bo259b4o40bo7bo31b2o
247b2o3b2o$24bo2bo4bobo256b2o2bo39bo8bo279b2o3bo2b3o$24b4o3bo2bo257bo
2bo46b3o278bo6bob3o$29bo2bo255b2o2bo331bo7b2obo$27bo2bobobo252b2o2bo3b
ob2o333bobo$24bo2bo3bo2b2o253bo2b3o2b2o332bo2b2o$24b4o3bobo2bo250bo2bo
b2o2b2o81b2o249bo$24b4o5b2o252bo4bo3b2o50bo29bo2bo247b3o$28b3obob2o
250bo4bo4b3o50bo29b2o247bo2bobo$25bo4b3ob2o21bo229bob2o5b3o48b3o278b3o
2b2o$25bo3bob2ob2o20b4o229bo4bo335bo5b2o$29bobo2b2o19bo2b2o227b3o4bo
339bob2o$59bo227b2ob3o342bo2bo$29b2o2bo2b2o17bo5bo3bo224b2ob2o340b4o$
29b2o2bo20b4o4b3obo224bob2o58bo29b2o250b2o2bo$35bo18bo3bo4bo226b3obo
59bo27bo2bo250bo2bo$35b3obo13bob3o5bo2b2o284b3o28b2o247b2o2bo$33bob3o
18bo6b5o226b2o335b2o2bo3bob2o$34bobo3b2o10b4obo2b2o2bobo224b4o338bo2b
3o2b2o$37bo2bo13b2o2bo5b4o223b2obo336bo2bob2o2b2o$37b4o13b2o3bo3bo3bo
222bo3bo336bo4bo3b2o$37bobob2o20b5o221b2o4bo62bo271bo4bo4b3o$38bo22b3o
3bo2bo218b3o3bo63bo27b2o242bob2o5b3o$36b3o2b2o22b3obobo216bo2bo65b3o
26bo2bo243bo4bo$41b2o20bo223b3o3bo93b2o242b3o4bo$35b3o3bo20b3obo4bo
214bo2b2o2bobo335b2ob3o$36bobobobo19bo4b3o219bob4obo337b2ob2o$36bo3b2o
21b2o3b2obo214bo2b3o2bobo338bob2o$41bo21bo4b4o215bobo5b3o2bo62bo270b3o
bo$37bo2bo23bobo2bo219b3o3bo3b2o63bo$37b2ob2o21b3obo3bo217bo3b3o66b3o
26b2o245b2o$37bob3o22b2o5b2o217bo9bo89bo2bo241b4o$36b2o3bo22b3o3b2obo
222bo2bobo89b2o242b2obo$35b2o3b2o22b3o3b2o2bo217bob3o2b2o333bo3bo$35bo
3b2o23bo2bo3bob2o218bo3b2ob2o331b2o4bo$35b3o2bo2bo21bo234bo2bo64bo264b
3o3bo$35b2o3bo3bo20bo3bo230bob3o64bo262bo2bo$38bo6bo22b2o229b2o2bo63b
3o261b3o3bo$38bobob2obob2o14b3ob3o229b2o2b2obo88b2o233bo2b2o2bobo$39b
2o4bo17b2obo232b5o2bo87bo2bo235bob4obo$45b2o16b2o3bo3bo226b5o91b2o233b
o2b3o2bobo$38b2o2b4o19b4obob2obo222bobo3b3o324bobo5b3o2bo$37b5o3b2o18b
o3b2ob5o220b3o4bo68bo259b3o3bo3b2o$43bob2o26bo222b3o5b3o67bo258bo3b3o$
38bo4bo28b2ob2o228bo66b3o259bo9bo$39bo3bo2bo26b3o219bo3b2obobo335bo2bo
bo$41bob2obo29bo218bo6bobobo92b2o235bob3o2b2o$40b3o2bo26bo4b2o221b2obo
2b3o89bo2bo235bo3b2ob2o$40b2ob2o27bo5b3o215b2ob3obobo93b2o243bo2bo$41b
o5bo24bo5b3o216bo3bobobo2bo69bo265bob3o$42b2o3bo25b3o224b2o4bo72bo263b
2o2bo$37b3o5bo25b5o220bo2bo4bobo70b3o263b2o2b2obo$37bo8b2o23bo5bob2o
216b5ob2obo21b3o312b5o2bo$37bobo30bob2ob4ob2o217b2o4b2o20bo2b2o311b5o$
78bo225b2o2bo18bo4bo70b2o237bobo3b3o$39b5o29bo2bo2b2o221b4o3bo92bo2bo
235b3o4bo$40bobo31b2o13b3o209b2o5bo18b3o3b2ob3o44bo19b2o235b3o5b3o$43b
o30b3o12bo2bo211bo20b2obobo4bob2o45bo264bo$41b2o2b3o24bo16bob2ob2o210b
2o2b2o15bo2bo4bo2b2o42b3o254bo3b2obobo$45bo2bo23b5o11b2o7b2o206b3ob3o
12bo2bo8bo302bo6bobobo$46b3o22bo15bo5bo4bo211bob2o10bo4bo2b2o2bo2bo
304b2obo2b3o$48b2ob2o18b2ob2o11bo5bob2o3bo208bo2bobo10bob3o2b2o3b2o
301b2ob3obobo$49bo3bo16bo4b2o9bo5bo3bobobo208b2obo14b2obob2obo3bo67b2o
232bo3bobobo2bo$49bo4bo15bobo13bo4b2o3bobobo212bo19b2ob3o49bo17bo2bo
234b2o4bo$50bo2b2o14b2o16bo3bo3bo213bobob2o18bo5bo49bo17b2o231bo2bo4bo
bo$50bo18b2ob3ob2o9bobobobo2bobo209bo2bob2o21b3o2b3o43b3o251b5ob2obo
21b3o$49b3o5b3o9b2o4bo3bo14bobob2o208bo30bob2o300b2o4b2o20bo2b2o$49bo
4b2o14b2o5bo2bo11b2o5bo2b2o210bo19b2obo3b3o304b2o2bo18bo4bo$54b2o4bo
15bo22b5o203b2obobobo19b2o2bo2b2o303b4o3bo$55bo4bo16b2o2bo14bo2bo4bo
204b2ob2o22b4o3bo301b2o5bo18b3o3b2ob3o$56bo19b5o15bobob2o14bo193b2o25b
2obo2bo49bo17b2o235bo20b2obobo4bob2o$57b2o15bo20b2ob2o3b2o10b3o191bo2b
o22b2obobobo51bo15bo2bo236b2o2b2o15bo2bo4bo2b2o$59b3o36bo2b2o11b2o2b2o
190bobo25bo53b3o16b2o236b3ob3o12bo2bo8bo$74b2o22b2obobo11bob3o189bo2bo
22bo7b2o309bob2o10bo4bo2b2o2bo2bo$59b2obo10b2o5b3o16bo2b2obo8b3ob3o2b
2o183bo4bo22b2o5bo309bo2bobo10bob3o2b2o3b2o$59bobobo9b2ob3o2b2o13b2obo
5bo7bo6bobob2o182bo3b2o23bob2o2bob2o306b2obo14b2obob2obo3bo$61bobo2b3o
6bobo19b4ob3o7b2o4b5o184bo4bo30bo3bo309bo19b2ob3o$59bo3bo3b2o10bob2o
18bo2bobo5b2o3b3o2bo3b2o179b2o3bo23b3o5bo53bo254bobob2o18bo5bo$60b2obo
b2o8bo3bob2o21bobo5b2o3b2o2b2o185bobobob3o82bo15b2o235bo2bob2o21b3o2b
3o$63bobo9bo3bobo23b2o5b3o2bo3b2o2bo184bob4obobo20b3o3bo50b3o14bo2bo
234bo30bob2o$65bo9bo5bo15b3o5bo2bo5bobobobobob2o184b3o3b2obo16bo2bo75b
2o241bo19b2obo3b3o$62b3o10bo3bob2o25bo11b2o2b2o191bobo15b2obo312b2obob
obo19b2o2bo2b2o$62b3o11bo25b2o4bo10bo9bo183bobo20bob2o3b2o308b2ob2o22b
4o3bo$61b2o14b3o17bo4bo3bo17b2obo2bo179bo5b2o20b2ob4o309b2o25b2obo2bo$
61bo35b3o2bobo18b2o4bo180b2o2bo2bo28b3o54bo249bo2bo22b2obobobo$60bo3b
2o11bo22bo2b3o16bobobo2b2o178bo2b2o3bo18b2ob2o3bo2bo56bo249bobo25bo$
61bo2bo12bo4bo14bo2bo2bo2bo14b2obo4bo181b5obo27bob2o53b3o14b2o232bo2bo
22bo7b2o$77bob2ob2o21b2o2bo17bo2bo180b2o2b4o26b2o71bo2bo230bo4bo22b2o
5bo$66b2o15b2o13b3o3bob3obo13b2obob2o182bo4bo100b2o231bo3b2o23bob2o2bo
b2o$64b2ob3o11b2obobo11b2o6bobobo12bobo2b2o183b2o30b5o301bo4bo30bo3bo$
64b2obob2o5b2o4b2o3bo15bo18b2o3bo3bo181bo2b2o26b5ob2o299b2o3bo23b3o5bo
$65bobo3bo3b2obo3bo3b2o15bo3bo14b2ob6o182bo2b4o24bo6b2o55bo243bobobob
3o$67b3ob2ob3obo7bo22bob2o11b5obo183b2obobo25b2o62bo244bob4obobo20b3o
3bo$73b2o9bo3bo17b4o20bob2o176b2o6bo28b2o58b3o244b3o3b2obo16bo2bo$70bo
5b2o6bo3bo16bo3bo3bo10bo5bob2o175b2o7b2o22b3o78b2o236bobo15b2obo$70bo
7bo9b2o16b3ob4o10bo6b3o176b2o35b2ob4o68bo2bo231bobo20bob2o3b2o$79bo5b
2o2b3o16bob4o10bo8b3o175bo30bo2b3o2bobo70b2o229bo5b2o20b2ob4o$74b2o3bo
5bo2bobo13b5ob5o13b2o3bo177b3obo31b2o2b2o301b2o2bo2bo28b3o$77b3o5bo18b
o2bo5bo9bo3b2o185bobo27bo2bo14b2o49bo239bo2b2o3bo18b2ob2o3bo2bo$76bo2b
o5bo7bo10bob2o5b2o8b3ob2obo183bo32bo13b2o51bo240b5obo27bob2o$75bob2o7b
3o3bo11bo3bo4bob2o6bo2b3o2bo186b2o24bo2bo15b2obo45b3o240b2o2b4o26b2o$
75bobo9b2o4bob2o11bo3bo16bo2bo180b2o2b2obo23b5o12bo3b3ob2o286bo4bo$74b
obo11b3o3b2obo7b3o16bobo3bo3b2o183bo40b6ob2o2bo55b2o228b2o30b5o$74bo
11bo2bo5bobo26bobo7bobo184bo21b2obo12b2ob2o4bo57bo2bo227bo2b2o26b5ob2o
$78bo8b2o17b3o15bobo4b2obo186b5o17b2ob2o11bo4bo6bobo53b2o228bo2b4o24bo
6b2o$74bo17b2o11bo3bo23bo189b2o2bo14bob2obobo9b5o4b3o2bo44bo239b2obobo
25b2o$77bob2o9bobo13bob2o212bo2bo2bo13bo3bobo10b3obo4b2o49bo234b2o6bo
28b2o$78b2obo7bo18b3o21bo2b2o185bo2bo16b8o14b2o2bobo46b3o233b2o7b2o22b
3o$78bo3bo9bo10b3o4b2o20b2obo2bo181b2o8bo11bo7bo9bo3b2o3b2o283b2o35b2o
b4o$79bobo10bo10b2o2bob2o20bo5bobo182bobo2bob3o10bo2bo3b3o13bo3bo2bobo
280bo30bo2b3o2bobo8b2o$80bo4bo3bo2bo12b2o3bo21b3o5bo185b2ob2obo10bo7b
2o15b3o2b3o55b2o222b3obo31b2o2b2o8bo2bo$86b2o3bo15bo220b3obo15b5o15b2o
bo58bo2bo224bobo27bo2bo13bo3bo$84bob2o16b8o18b3obobo3bo188b3o13bo7bo
16bob3ob2o45bo7b2o225bo32bo15b3o$82bobo18bo5bo2bo16b2o6bo192bo16bo20bo
2bo15b3o34bo237b2o24bo2bo11b2o6b4o$82bobo22bo2bobo16b2ob3o3b2obo190bo
14bo2bo3bo12b2obo2bobo11bo2bo31b3o232b2o2b2obo23b5o10bob2o4b4o$104bob
2o2b3o18bo2bo3b2obo190b2o33b2o2b3o13bob2ob2o269bo38bo4bo6b3o$110b3o18b
2obo196b2obo10b2obo2bobo14bo2bo2bobo9b2o7b2o268bo21b2obo12b4o4b2o3bo$
92bo21b2o16b2o201bo9b2obo4b2o13b2obob2o2b2o6bo5bo4bo268b5o17b2ob2o9bo
9b2o$90bobo15b2o4bo16bo2bo196bobobo3bo9bobo18bob3o10bo5bob2o3bo36b2o
230b2o2bo14bob2obobo8bo3bo$91b2o16bo2bobo17b3o197b2obobob2o7b2obob2o
21b3o5bo5bo3bobobo29bo5bo2bo228bo2bo2bo13bo3bobo14b3o2b2o2bo$106b2o3b
2ob2o15bo3bo196b2obobo10b2obobo23b2o5bo4b2o3bobobo30bo5b2o229bo2bo16b
8o9b2o7bo4bo$107b2o3bobo18bo201b2o11b2ob2o32bo3bo3bo33b3o234b2o8bo11bo
7bo19bob2o$107b3o2bobo15b2ob2o2bo197bobo10b2o3bo15b2o6bo2bo4bobobobo2b
obo269bobo2bob3o10bo2bo3b3o15b2o6bo$108bob2o2bo14bobo5bo196b3o11b4obo
15b2obo4b4o11bobob2o272b2ob2obo10bo7b2o15b2ob3obo$97bo10bobobo16bo5bo
197bo14b4obo16b2o3b5o10b2o5bo2b2o270b3obo15b5o14b2o3bo2bo$95bobo14bo3b
o13b7o200bo14b3o15bo3b2o21b5o271b3o13bo7bo13bobo2b2o$96b2o11b2o3bo15bo
6bo195b2obo16b2o15b2o4bo17bo2bo4bo30bo5b2o233bo16bo19bo2bobobo$109b4o
17b4ob3o195b5o12b4o16bo4b2o17bobob2o34bo3bo2bo234bo14bo2bo3bo12b3o6bo$
112b3o15b2o6bo194b2o14b6o13b5o2bo2bo14b2ob2o3b2o29b3o4b2o235b2o34bobob
o3bo$112b3o17b5ob2o209bo21bo5b2o17bo2b2o274b2obo10b2obo2bobo17b2obobo$
113b2o17b2obo3bo198bo15bobo13b2o6bob3o13b2obobo277bo9b2obo4b2o13bo6b3o
$102bo7b3o23bob2o197bob2o15b3o12bo4b2o3b2o14bo2b2obo271bobobo3bo9bobo$
100bobo7bo5bo18b3ob3o194b2obob2o6bo3b2o2b2o15b4o16b2obo5bo272b2obobob
2o7b2obob2o13bo9bo$101b2o8b2o2b4o15b2o4bo198bo3bo3b2obo4bo2bo18b3o15b
4ob3o35bo237b2obobo10b2obobo14bo3bo6bo$114bob3o14bob4obo197bob4o2bo3bo
7bo19bo4bo15bo2bobo34bo3b2o234b2o11b2ob2o16bo5b5o$115bo16b2o3b2ob2o
200bo2bo3bo6bob3o17b7o17bobo32b3o2bo2bo233bobo10b2o3bo15b3o$115b3o17bo
2bobo201b4o10b5o20bob2o18b2o38b2o233b3o11b4obo19b2o$117b2obo15bobob2o
201b3ob2obo7bo18b3o3b2o10b3o5bo2bo270bo14b4obo16b3o2bo$107bo28bobo207b
5o7bobobo17bo5bo19bo274bo14b3o13bob3obo$105bobo10b2ob2o13bob2o205bo3bo
bo6b2o2b2o13b2ob3o2bo14b2o4bo21bo248b2obo16b2o12bo3bo2bo$106b2o10b3o
15bo2bo210bo7b2o2bobo11b2o3b2ob2o9bo4bo3bo22b4o4b3o5bo233b5o12b4o14bo
4b2ob3o$120bo14bo2b2o208bo2bo6b2ob2o13bobo2bobobobo7b3o2bobo23bo2b2o2b
o3bo3bo2bo232b2o14b6o15b4obo4b2o$135bo2bobo206bob2o7bo2b5o11b2ob5o3bo
9bo2b3o25bo2b2o7bob2o248bo20bob4o4b2o$120b6o10bo3bo206bo14b2o3b2o8b2o
3bo2bobo7bo2bo2bo2bo27b2ob2o3b2o240bo15bobo19bo$121b5o15bo206bo9bob2o
4b2obo8bo2bo21b2o2bo18b3o7bo3b3o238bob2o15b3o18bo2b2o$112bo27bo205b2o
11b2o8bo9bo16b3o3bob3obo16b3o7b2o15b3o225b2obob2o6bo3b2o2b2o18b2o$110b
obo6b2o5b2o8b4o206b5o8bo4bo3bo9b3o15b2o6bobobo16b3o6bobo17bo228bo3bo3b
2obo4bo2bo19b5o$111b2o6b3o7b2o5bo4b2o204b5o12bo12bo23bo18b3o30bo8b3o
217bob4o2bo3bo7bo23b2o$120bo5bo2b2o6bo6bo204bobo11b2o2bo9bob3o19bo3bo
14b2ob2o2b2o35bo221bo2bo3bo6bob3o15b3o6bo$140bo3bo208bo8b2o18bo24bob2o
7bo3bo3b3ob3o30bo8b3o211b4o10b5o16bobo3bobo$126b2o12bo3bo208b2o6b3o12b
o6bo20b4o10b4ob2o4b2o43bo212b3ob2obo7bo17bo3bo3bo$124b2ob2o12bob2o209b
obo4b3o11b2obo3bo20bo3bo3bo5bo7b4o44bo8b3o205b5o7bobobo13bo3b2o$117bo
6b2o17b2o212bo4bobo13bob2o22b3ob4o4b3obo9bo15bo37bo204bo3bobo6b2o2b2o
11bo6bob3o$115bobo6b2o17bo2b2o204b2ob2o6bo15b3o24bob4o6bo6b8o12bobo35b
o8b3o199bo7b2o2bobo11b2o3bo3b2o$116b2o6b3o17bo2bo234b2o18b5ob5o9b2o3bo
4bo11bo2bo46bo197bo2bo6b2ob2o14b4o2bo2bo$124b2o18bo207bobo5bo14b4o4bo
18bo2bo5bo12b3o2bo15b2o46bo8b3o186bob2o7bo2b5o13b2o3bo$124b2o20bo206bo
7b2o13b5obobo17bob2o5b2o10bobo3bo2bobo69bo186bo14b2o3b2o9bo$146bob3o
209b2o14bo6bo18bo3bo4bob2o8bobo9bo67bo8b3o177bo9bob2o4b2obo8b2obo$146b
o4bo231bo2bo19bo3bo24bo78bo175b2o11b2o8bo7bo$146bo4bo231bo2bo16b3o25b
2o80bo8b3o165b5o8bo4bo3bo7b5o$146b7o228b6o44bob3o14bo73bo166b4o13bo11b
o4bo$145bobo231bob2obo19b3o22bo19bobo71bo8b3o158bo13b2o2bo7b3ob3o$127b
2o18bo4b5o208bo13bo7bo15bo3bo21bob2o15bo2bo82bo160b3o8b2o11bob5o$126bo
2bo15b3o7b2o209b2o11bo4b3obo15bob2o20bo2bob2o14b2o82bo8b3o150bobo7b3o
11bo$126bo2bo22b2o211b2o13bo3bobo19b3o19bob5o109bo150b3o7b3o13bo$125b
2ob2o21b4o225b2o4bobo12b3o4b2o20bo2b2ob2o105bo8b3o146bo4bobo8bo4b4o$
126b2o22bo2b2o226b2obob2o13b2o2bob2o29bo115bo145bobo4bo13b4ob2o$149bo
232bob5o14b2o3bo25bo3bo114bo8b3o137b2o14b3o4bo$149bo230bob2o2bo18bo28b
o3b2o14bo109bo133b3o24bobo$149bo2bo217bo12bo18b8o29bo13bobo107bo8b3o
123b2o29bo$136bobo2b2o6bo221b2o7bo4bo2bo12bo5bo2bo25b2o14bo2bo118bo
150bo2b2o$136bo2b2o2bo6b2o218b2o9bo3b2o18bo2bobo20b3ob2o3bo12b2o118bo
8b3o141b3o$127b2o10b2o2bo241bo16bob2o2b3o20bo2b2o2bob3o141bo121bobo14b
2o$127b2o8b2o2bobo3b2o234b2o23b3o20bob2o3b2o143bo8b3o112b2o13b3o5bo$
146bo2bo232b2o4bo23b2o18bo5b2o154bo112bo17b2o2bobo$146b2o2bo232bo3bobo
16b2o4bo17b2o4b2obo153bo8b3o117bo2b3obobo$147bo2bo224bo7bo2bo3b2o15bo
2bobo17b3ob2o3bo18bo145bo118b2obo2bo$147bo2bo225b2o8bobo15b2o3b2ob2o
18b3o4b2obo14bobo143bo8b3o110bobo2b2o$375b2o28b2o3bobo18bo7bobo14bo2bo
154bo112b2o$388b2obobo11b3o2bobo18bo3bobo19b2o154bo8b3o86bobo9b3o4bo$
131b2o7bo249bo2bo12bob2o2bo18bo4bobo185bo87b2o9b3o4bo$131b2o7bobo247b
2o14bobobo22bo4bo184bo8b3o77bo11b2o3b3o$140b2o249bob2o15bo3bo24bo194bo
90b2ob2o$148b2o230bo26b2o3bo21b3obo194bo8b3o81b2o$147bo2bo230b2o8bo15b
4o24bob3o22bo181bo81bo$148b2o230b2o11b2ob2o12b3o23bob2o21bobo179bo8b3o
$393bo2b2o12b3o22bo24bo2bo190bo61bobo6b2o3b3o$411b2o21bo3b2o21b2o190bo
8b3o52b2o8bo2b2obo$135b2o253bo2bo5bo8b3o22b2o2b3o224bo52bo11bo3b2o$
135b2o254b2o5b4o6bo5bo23b2o223bo8b3o55bo2b2o$385bo7bo4b2ob2o6b2o2b4o
15bo2bo238bo59bobo$152b2o232b2o24bob3o14bo3b2o236bo8b3o46b2o2b2o$151bo
2bo230b2o8bo17bo17bo4bobo27bo217bo49b2o$124b2o7bo6b3o9b2o243b4o12b3o
15bo3bo3bo25bobo215bo8b3o26bobo10bobo$124bo2bo5b2o3bo3bo254bobo15b2obo
13bo7bo23bo2bo24bo201bo27b2o12b2o$124bo3b4o2bo3bo3bo253bo2bo33bobo2bo
26b2o24b3o199bo8b3o17bo11bob2o$126b3o4bo8bo254bo18b2ob2o17bo2bob2o45b
2o2b2o208bo29b3o3bo$124b2o3b5o5bo2bo247bo6bo18b3o14bo9b2o46bob3o207bo
8b3o18b2o4b2o$122bo2bo5bo2bo4bo251b2o4bobo18bo14bobo2b2o3b2o45b3ob3o2b
2o213bo18b3o$133b2o21b2o232b2o5bobo38b2o4bo44bo6bobob2o211bo9bo3bo6bob
o$118bo3bobo8bo5bobo13bo2bo259b6o16bo2bobo24bo17b2o4b5o224b3o2bo6bobo
3b3o$117bob4o2bo13b2o15b2o261b5o13b4o28bobo16b2o3b3o2bo3b2o222b3o6bo6b
ob2o$116b2o2bo2bob2obo308b6o2bo22bo2bo16b2o3b2o2b2o227b2o11bo6bo$115bo
6b2o3b2o288b2o5b2o18bo2b2o20b2o17b3o2bo3b2o2bo237bo3b2o$114b8o5bo289b
3o7b2o15bobobo41bobobobobob2o234b2o$113bo4bo2b5obo273bo16bo5bo2b2o20bo
46b2o2b2o238b3o$113bob2o10bo272b4o38bo5b2o45bo9bo234b3o$115b2o6b5obo
30b2o236b5obo19b2o16bo6bo50b2obo2bo224bobo6bo$120bo8bo29bo2bo234bo6b2o
16b2ob2o15bo7bo23bo24b2o4bo226b2o$119bo2b2obo4bo29b2o234bo3bob3o17b2o
17bo4bob2o23bobo22bobobo2b2o225bo7b3o$120bo276bobo2b2o18b2o16bo6bo24bo
2bo21b2obo4bo234b3o$131b2o289b3o15bo2bo4bobo22b2o28bo2bo233b3o$422b2o
16b4o3bo2bo49b2obob2o215bo17b2o$128b3obo277b3ob3o5b2o21bo2bo50bobo2b2o
215bo$127b2ob2o277b4obo2bo25bo2bobobo47b2o3bo3bo213b3o$128bob2o32b2o
242bobo29bo2bo3bo2b2o46b2ob6o$125b2ob3o32bo2bo233b2o15bo22b4o3bobo2bo
25bo21b5obo$125bo5bo32b2o234b2o8b3o27b4o5b2o26bobo26bob2o$127bo283b2o
2bobo26b3obob2o24bo2bo20bo5bob2o$126b2o3b2obo281b2ob6o16bo4b3ob2o25b2o
21bo6b3o$130b3o2bo283b2obobo16bo3bob2ob2o48bo8b3o$134b2o286bo22bobo2b
2o52b2o3bo$135b2o285b2o75bo3b2o$134bobo31b2o275b2o2bo2b2o45b3ob2obo$
129bo2b3o32bo2bo233b2o39b2o2bo32bo16bo2b3o2bo$128b3o5b2o30b2o234b2o7bo
37bo29bobo21bo2bo$127b2o4b3ob2o272b2o38b3obo24bo2bo16bobo3bo3b2o208bo$
128bob3obo3bo273b2o7b2o26bob3o27b2o17bobo7bobo206bo$127bob2o6bo282bo2b
o26bobo3b2o42bobo4b2obo208b3o$127bo2bob3ob2o283b2o30bo2bo52bo$127bo3b
3o2bo316b4o$127bo3b2o2b2obo33b2o279bobob2o49bo2b2o$128bob2o3b2obo32bo
2bo233b2o44bo31bo21b2obo2bo$127b3o3b3o36b2o234b2o42b3o2b2o26bobo19bo5b
obo$129bo3bobo321b2o25bo2bo20b3o5bo$134b3o260bo15b2o10b2o24b3o3bo27b2o
$131b2ob3o259b4o4b3o6b2o9bo2bo24bobobobo47b3obobo3bo$131b3o261bo2b2o2b
o3bo6bo11b2o25bo3b2o47b2o6bo$131bo266bo2b2o54bo47b2ob3o3b2obo$132b2o2b
o39b2o223b2ob2o5b3o39bo2bo50bo2bo3b2obo$132bobo40bo2bo216b3o7bo5bob2ob
o36b2ob2o32bo16b2obo207bo$130b3obobo39b2o216b3o7b2o8b3o36bob3o31bobo
16b2o207bo$130b2o2bo2bo256b3o6bobo9bo36b2o3bo30bo2bo15bo2bo206b3o$130b
2o2bobo252b3o37b2o20b2o3b2o31b2o17b3o$132b2o255b2ob2o2b2o14b2o14bo2bo
19bo3b2o50bo3bo$128b2o2b3o252bo3bo3b3ob3o10b2o15b2o20b3o2bo2bo49bo$
127b3o3b2o252b4ob2o4b2o51b2o3bo3bo45b2ob2o2bo$128b2o6bo43b2o204bo7b4o
56bo6bo43bobo5bo$129bobo4bo42bo2bo202b3obo9bo54bobob2obob2o29bo10bo5bo
$136bo43b2o205bo6b8o53b2o4bo31bobo10b7o$131bo7b3o249b2o3bo4bo59b2o29bo
2bo10bo6bo$131bo3b2o5bo250b3o2bo34b2o19b2o2b4o31b2o11b4ob3o$131bo3b2o
5bo249bobo3bo2bobo28bo2bo17b5o3b2o43b2o6bo$135bobo4bo249bobo9bo28b2o
24bob2o45b5ob2o$134bo2bo3bo262bo49bo4bo48b2obo3bo200bo$134bo4bobo42b2o
214b2o53bo3bo2bo49bob2o199bo$134bo3bo44bo2bo213bob3o52bob2obo35bo12b3o
b3o197b3o$135b4ob2ob3o38b2o212bo57b3o2bo35bobo10b2o4bo$142bo2b2o251bob
2o54b2ob2o35bo2bo9bob4obo$144bobo250bo2bob2o33b2o18bo5bo33b2o9b2o3b2ob
2o$145b3o249bob5o32bo2bo18b2o3bo47bo2bobo$138b3o4b3o251bo2b2ob2o30b2o
14b3o5bo50bobob2o$138b2o5bobo259bo45bo8b2o48bobo$138bo5b3o41b2o213bo3b
o45bobo56bob2o$137b2o5bo42bo2bo212bo3b2o93bo9bo2bo$136b2o2bo3b3o41b2o
218bo46b5o41bobo7bo2b2o$137b5o2b2o259b2o49bobo41bo2bo7bo2bobo$138bob2o
bobo254b3ob2o3bo31b2o16bo41b2o9bo3bo$141bobobob2o251bo2b2o2bob3o28bo2b
o13b2o2b3o53bo196bo$137bo2b2ob2o2b2o251bob2o3b2o32b2o18bo2bo51bo196bo$
136bo4bo4bo254bo5b2o53b3o47b4o197b3o$137bo4b3o47b2o205b2o4b2obo55b2ob
2o43bo4b2o$137bo2b4obo45bo2bo204b3ob2o3bo56bo3bo36bo6bo6bo$141bo7bo42b
2o207b3o4b2obo53bo4bo34bobo8bo3bo$142bo6bo250bo7bobo55bo2b2o33bo2bo8bo
3bo$144b5o251bo3bobo38b2o19bo38b2o10bob2o$142bo4b3o250bo4bobo36bo2bo
17b3o5b3o43b2o$142b2o258bo4bo37b2o18bo4b2o47bo2b2o$142b2o3bobo258bo61b
2o4bo43bo2bo$147b2o47b2o205b3obo63bo4bo43bo$150b2o43bo2bo205bob3o63bo
37bo11bo$151bobo42b2o207bob2o64b2o34bobo10bob3o$147bo5b2o249bo70b3o30b
o2bo10bo4bo184bo$149b2o252bo3b2o40b2o58b2o11bo4bo183bo$149b2o251b2o2b
3o39bo2bo23b2obo43b7o182b3o$150bo3bo252b2o40b2o24bobobo41bobo$149bo2b
2o247bo2bo72bobo2b3o38bo4b5o$150b2o2b2o44b2o198bo3b2o69bo3bo3b2o36b3o
7b2o$148bo2bobo45bo2bo197bo4bobo68b2obob2o31bo13b2o$148b3o2bo46b2o198b
o3bo3bo70bobo31bobo11b4o$152b2obo245bo7bo71bo30bo2bo10bo2b2o$150bob2ob
o246bobo2bo45b2o23b3o32b2o10bo$154bo252bo2bob2o38bo2bo22b3o44bo$150b4o
248bo9b2o39b2o22b2o46bo2bo$149b2o251bobo2b2o3b2o63bo47bo$152bo2bo48b2o
201b2o4bo62bo3b2o44b2o3b2o$148bob3o2bo47bo2bo202bo2bobo62bo2bo37bo10bo
bobo176bo$148bobobobo49b2o200b4o107bobo10bo2bo175bo$147bo2bobo253b6o2b
o67b2o32bo2bo12b3o174b3o$147bo2bo2b2o258bo2b2o39b2o21b2ob3o31b2o12bo$
148bo3bo4bo255bobobo38bo2bo20b2obob2o5b2o38b2ob3o$150bo3bobob2o258bo
38b2o22bobo3bo3b2obo37bo3bobo$151bob2o3bo252bo5b2o64b3ob2ob3obo37bo$
152b3o3bobo47b2o201bo6bo70b2o40bob2o$151bobo2bo2bo47bo2bo200bo7bo66bo
5b2o28bo11bo$150bo3b3o51b2o200bo4bob2o67bo7bo26bobo6bo3bo$150bo2b2o
254bo6bo78bo11bo12bo2bo5bo2b4o$150bo2bobo2b2o249bo2bo4bobo41b2o27b2o3b
o10b4o4b3o4b2o6bo2b2o$155b2ob2o249b4o3bo2bo40bo2bo29b3o9bo2b2o2bo3bo
12bobo4bo$156bobo255bo2bo43b2o29bo2bo12bo2b2o18b3o$154bob2obo252bo2bob
obo71bob2o16b2ob2o16bo3bo171bo$158bo53b2o195bo2bo3bo2b2o70bobo11b3o7bo
16b2obo171bo$156b2o53bo2bo194b4o3bobo2bo68bobo11b3o7b2o16bob3o170b3o$
153b2o2bo37bo16b2o195b4o5b2o70bo13b3o6bobo16bo3bobo$151bo3bo3bo34b4o4b
3o208b3obob2o73bo4b3o20b2o7bo3bo$150b2o8bo32bo2b2o2bo3bo205bo4b3ob2o
44b2o23bo8b2ob2o2b2o14bobo10bo3bo$149b2obo6bo36bo2b2o209bo3bob2ob2o43b
o2bo25b2o2bo3bo3b3ob3o11b3o$151bo47b2ob2o210bobo2b2o44b2o30b4ob2o4b2o
16bo11bo$151b2ob2o37b3o7bo292bo7b4o16bo$152b2ob2o35b3o7b2o12b2o196b2o
2bo2b2o72b3obo9bo14b3o$152b2o38b3o6bobo11bo2bo195b2o2bo78bo6b8o$156bo
2bo27b3o26b2o202bo80b2o3bo4bo$155bob4o26b2ob2o2b2o224b3obo78b3o2bo$
158bo2bo23bo3bo3b3ob3o218bob3o46b2o31bobo3bo2bobo11b2o$159bo25b4ob2o4b
2o221bobo3b2o41bo2bo30bobo9bo10bobo178bo$162b2obo18bo7b4o226bo2bo43b2o
43bo11bo178bo$162bo2b2o16b3obo9bo224b4o84b2o193b3o$162b2o3bo17bo6b8o
20b2o200bobob2o82bob3o$162b2o2b2o21b2o3bo4bo19bo2bo200bo84bo$171bo19b
3o2bo23b2o199b3o2b2o80bob2o$162bobo6bo18bobo3bo2bobo224b2o79bo2bob2o$
162bo4b3ob2o17bobo9bo217b3o3bo46b2o32bob5o15b2o$169bo32bo218bobobobo
44bo2bo33bo2b2ob2o12bobo$167b3o28b2o221bo3b2o46b2o42bo12bo$169b2o27bob
3o223bo86bo3bo$170b4o22bo27b2o196bo2bo87bo3b2o$171b3o22bob2o23bo2bo
195b2ob2o91bo$195bo2bob2o22b2o196bob3o88b2o$172b4o19bob5o219b2o3bo83b
3ob2o3bo184bo$172bobobo3bo16bo2b2ob2o215b2o3b2o50b2o31bo2b2o2bob3o11b
2o168bo$176b2obobo23bo214bo3b2o50bo2bo30bob2o3b2o14bobo167b3o$174bobob
o2bo19bo3bo214b3o2bo2bo48b2o32bo5b2o15bo$173bo2bob3o20bo3b2o213b2o3bo
3bo79b2o4b2obo$175bo2bo27bo21b2o193bo6bo78b3ob2o3bo$175bo2bo24b2o22bo
2bo192bobob2obob2o77b3o4b2obo$175bo2bo19b3ob2o3bo20b2o194b2o4bo79bo7bo
bo$177bo20bo2b2o2bob3o220b2o78bo3bobo$174bo23bob2o3b2o216b2o2b4o50b2o
27bo4bobo19b2o$173b3o23bo5b2o215b5o3b2o48bo2bo28bo4bo19bobo$173b2o2b2o
18b2o4b2obo221bob2o49b2o35bo19bo$177b2o18b3ob2o3bo216bo4bo84b3obo$199b
3o4b2obo22b2o190bo3bo2bo82bob3o$178b3o17bo7bobo22bo2bo191bob2obo83bob
2o183bo$177bo4b2o14bo3bobo27b2o191b3o2bo83bo186bo$180bob2o4b3o7bo4bobo
219b2ob2o83bo3b2o182b3o$177b2obo3b2obo3bo8bo4bo220bo5bo52b2o25b2o2b3o
22b2o$179b3ob3o3bo16bo220b2o3bo33b3o15bo2bo29b2o22bobo$181b7o13b3obo
216b3o5bo34bo2b2o3b5o7b2o24bo2bo27bo$190bo11bob3o215bo8b2o32bo4bob4o3b
o30bo3b2o$190b2o11bob2o29b2o184bobo43bo3bo37bo4bobo$191b2o9bo32bo2bo
226bo10bo3bo29bo3bo3bo$192b2o7bo3b2o29b2o186b5o36b2obo2bo2b2o4bo30bo7b
o$188b3ob2o6b2o2b3o218bobo37bo4bo2bo38bobo2bo$189bo2bo12b2o221bo31bob
2o10bo4bo9b2o26bo2bob2o21b2o$188bob2o7bo2bo223b2o2b3o26b2o5bo3bo5bo11b
o2bo20bo9b2o21bobo$187b2ob2o6bo3b2o226bo2bo24bo3bo3b2o2bo18b2o21bobo2b
2o3b2o22bo$187bobo8bo4bobo225b3o23b4o3bo5bo46b2o4bo176bo$188bo9bo3bo3b
o33b2o191b2ob2o18bo4b2o2b4o50bo2bobo174bo$199bo7bo31bo2bo191bo3bo17bo
2b5o52b4o179b3o$190b2o8bobo2bo34b2o192bo4bo16bo3b3ob4ob2o45b6o2bo$205b
o2bob2o223bo2b2o18bo7bobob2o51bo2b2o$200bo9b2o223bo27b2o3b2o23b2o28bob
obo21b2o$200bobo2b2o3b2o222b3o5b3o18b2o3bo2b3o18bo2bo32bo20bobo$205b2o
4bo222bo4b2o21bo6bob3o19b2o26bo5b2o21bo$207bo2bobo226b2o4bo17bo7b2obo
46bo6bo$204b4o36b2o194bo4bo25bobo47bo7bo$204b6o2bo30bo2bo194bo28bo2b2o
45bo4bob2o45b2o$211bo2b2o28b2o196b2o25bo49bo6bo46b2o$211bobobo228b3o
21b3o48bo2bo4bobo45b2obo$216bo250bo2bobo24b2o20b4o3bo2bo23b2o18bo3b3ob
2o$209bo5b2o227b2obo19b3o2b2o22bo2bo24bo2bo25bobo16b6ob2o2bo114bo$209b
o6bo227bobobo20bo5b2o20b2o23bo2bobobo24bo16b2ob2o4bo116bo$209bo7bo228b
obo2b3o19bob2o42bo2bo3bo2b2o40bo4bo6bobo111b3o$208bo4bob2o31b2o194bo3b
o3b2o20bo2bo41b4o3bobo2bo39b5o4b3o2bo$207bo6bo32bo2bo194b2obob2o22b4o
41b4o5b2o41b3obo4b2o$207bo2bo4bobo30b2o198bobo23b2o2bo44b3obob2o45b2o
2bobo$207b4o3bo2bo232bo24bo2bo41bo4b3ob2o41bo3b2o3b2o$212bo2bo231b3o
21b2o2bo25b2o17bo3bob2ob2o26b2o18bo3bo2bobo$210bo2bobobo229b3o20b2o2bo
3bob2o18bo2bo20bobo2b2o26bobo20b3o2b3o$207bo2bo3bo2b2o227b2o24bo2b3o2b
2o19b2o55bo21b2obo$207b4o3bobo2bo226bo23bo2bob2o2b2o43b2o2bo2b2o49bob
3ob2o$207b4o5b2o34b2o191bo3b2o19bo4bo3b2o43b2o2bo51bo2bo$211b3obob2o
32bo2bo191bo2bo19bo4bo4b3o48bo48b2obo2bobo$208bo4b3ob2o21bo11b2o216bob
2o5b3o48b3obo44b2o2b3o$208bo3bob2ob2o20b4o208b2o19bo4bo50bob3o47bo2bo
2bobo107bo$212bobo2b2o19bo2b2o206b2ob3o15b3o4bo27b2o22bobo3b2o24b2o17b
2obob2o2b2o104bo$242bo206b2obob2o5b2o7b2ob3o28bo2bo24bo2bo25bobo18bob
3o108b3o$212b2o2bo2b2o17bo5bo3bo201bobo3bo3b2obo9b2ob2o27b2o25b4o26bo
25b3o$212b2o2bo20b4o4b3obo202b3ob2ob3obo10bob2o54bobob2o51b2o$218bo18b
o3bo4bo9b2o200b2o13b3obo55bo$218b3obo13bob3o5bo2b2o4bo2bo196bo5b2o68b
3o2b2o43b2o6bo2bo$216bob3o18bo6b5o5b2o197bo7bo13b2o57b2o43b2obo4b4o$
217bobo3b2o10b4obo2b2o2bobo214bo9b4o52b3o3bo45b2o3b5o$220bo2bo13b2o2bo
5b4o208b2o3bo9b2obo31b2o20bobobobo27b2o15bo3b2o$220b4o13b2o3bo3bo3bo
211b3o8bo3bo30bo2bo19bo3b2o28bobo14b2o4bo$220bobob2o20b5o210bo2bo7b2o
4bo30b2o25bo29bo15bo4b2o$221bo22b3o3bo2bo206bob2o8b3o3bo53bo2bo44b5o2b
o2bo$219b3o2b2o22b3obobo5b2o198bobo8bo2bo57b2ob2o46bo5b2o$224b2o20bo
12bo2bo196bobo8b3o3bo55bob3o45b2o6bob3o99bo$218b3o3bo20b3obo4bo5b2o
197bo9bo2b2o2bobo52b2o3bo46bo4b2o3b2o98bo$219bobobobo19bo4b3o210bo8bob
4obo50b2o3b2o49b4o103b3o$219bo3b2o21b2o3b2obo204bo9bo2b3o2bobo33b2o15b
o3b2o33b2o18b3o$224bo21bo4b4o207b2o6bobo5b3o2bo28bo2bo14b3o2bo2bo30bob
o18bo4bo$220bo2bo23bobo2bo219b3o3bo3b2o29b2o15b2o3bo3bo30bo19b7o$220b
2ob2o21b3obo3bo217bo3b3o54bo6bo52bob2o$220bob3o22b2o5b2o8b2o207bo9bo
49bobob2obob2o45b3o3b2o$219b2o3bo22b3o3b2obo6bo2bo212bo2bobo49b2o4bo
51bo5bo$218b2o3b2o22b3o3b2o2bo6b2o209bob3o2b2o56b2o47b2ob3o2bo$218bo3b
2o23bo2bo3bob2o218bo3b2ob2o48b2o2b4o47b2o3b2ob2o$218b3o2bo2bo21bo234bo
2bo30b2o13b5o3b2o31b2o13bobo2bobobobo$218b2o3bo3bo20bo3bo230bob3o28bo
2bo18bob2o31bobo13b2ob5o3bo$221bo6bo22b2o229b2o2bo30b2o14bo4bo35bo14b
2o3bo2bobo$221bobob2obob2o14b3ob3o229b2o2b2obo44bo3bo2bo48bo2bo98bo$
222b2o4bo17b2obo18b2o212b5o2bo46bob2obo49bo99bo$228b2o16b2o3bo3bo11bo
2bo211b5o48b3o2bo49b3o98b3o$221b2o2b4o19b4obob2obo9b2o211bobo3b3o45b2o
b2o49bo$220b5o3b2o18bo3b2ob5o220b3o4bo48bo5bo46bob3o$226bob2o26bo222b
3o5b3o31b2o14b2o3bo34b2o15bo$221bo4bo28b2ob2o228bo31bo2bo8b3o5bo36bobo
8bo6bo$222bo3bo2bo26b3o219bo3b2obobo33b2o9bo8b2o35bo8b2obo3bo$224bob2o
bo29bo218bo6bobobo42bobo55bob2o$223b3o2bo26bo4b2o10b2o209b2obo2b3o99b
3o$223b2ob2o27bo5b3o7bo2bo204b2ob3obobo45b5o55b2o$224bo5bo24bo5b3o8b2o
206bo3bobobo2bo43bobo49b4o4bo$225b2o3bo25b3o224b2o4bo48bo49b5obobo$
220b3o5bo25b5o220bo2bo4bobo35b2o9b2o2b3o38b2o5bo6bo$220bo8b2o23bo5bob
2o216b5ob2obo21b3o10bo2bo12bo2bo37bobo11bo2bo91bo$220bobo30bob2ob4ob2o
217b2o4b2o20bo2b2o10b2o14b3o38bo12bo2bo90bo$261bo225b2o2bo18bo4bo27b2o
b2o45b6o90b3o$222b5o29bo2bo2b2o12b2o207b4o3bo51bo3bo42bob2obo$223bobo
31b2o16bo2bo205b2o5bo18b3o3b2ob3o22bo4bo41bo7bo$226bo30b3o16b2o209bo
20b2obobo4bob2o23bo2b2o41bo4b3obo$224b2o2b3o24bo233b2o2b2o15bo2bo4bo2b
2o22bo46bo3bobo$228bo2bo23b5o228b3ob3o12bo2bo8bo9b2o13b3o5b3o30b2o5b2o
4bobo$229b3o22bo238bob2o10bo4bo2b2o2bo2bo5bo2bo12bo4b2o34bobo5b2obob2o
$231b2ob2o18b2ob2o233bo2bobo10bob3o2b2o3b2o7b2o18b2o4bo30bo7bob5o$232b
o3bo16bo4b2o232b2obo14b2obob2obo3bo27bo4bo36bob2o2bo$232bo4bo15bobo24b
2o214bo19b2ob3o29bo43bo$233bo2b2o14b2o25bo2bo209bobob2o18bo5bo29b2o38b
o4bo2bo$233bo18b2ob3ob2o19b2o209bo2bob2o21b3o2b3o27b3o36bo3b2o$232b3o
5b3o9b2o4bo3bo228bo30bob2o71bo90bo$232bo4b2o14b2o5bo2bo233bo19b2obo3b
3o6b2o19b2obo31b2o4b2o90bo$237b2o4bo15bo230b2obobobo19b2o2bo2b2o6bo2bo
18bobobo30bobo2b2o4bo86b3o$238bo4bo16b2o2bo227b2ob2o22b4o3bo6b2o21bobo
2b3o26bo4bo3bobo$239bo19b5o229b2o25b2obo2bo27bo3bo3b2o31bo2bo3b2o$240b
2o15bo26b2o206bo2bo22b2obobobo29b2obob2o36bobo$242b3o38bo2bo206bobo25b
o36bobo$257b2o25b2o206bo2bo22bo7b2o32bo39b2obobo$242b2obo10b2o5b3o225b
o4bo22b2o5bo30b3o42bo2bo$242bobobo9b2ob3o2b2o225bo3b2o23bob2o2bob2o7b
2o18b3o33b2o7b2o$244bobo2b3o6bobo229bo4bo30bo3bo5bo2bo16b2o35bobo7bob
2o$242bo3bo3b2o10bob2o224b2o3bo23b3o5bo9b2o17bo37bo$243b2obob2o8bo3bob
2o225bobobob3o55bo3b2o42bo$246bobo9bo3bobo23b2o203bob4obobo20b3o3bo26b
o2bo45b2ob2o$248bo9bo5bo22bo2bo202b3o3b2obo16bo2bo82bo2b2o76bo$245b3o
10bo3bob2o22b2o210bobo15b2obo39b2o122bo$245b3o11bo236bobo20bob2o3b2o
31b2ob3o37bo2bo5bo73b3o$244b2o14b3o230bo5b2o20b2ob4o13b2o16b2obob2o5b
2o24b2o4b2o5b4o$244bo248b2o2bo2bo28b3o8bo2bo16bobo3bo3b2obo23bobo5bo4b
2ob2o$243bo3b2o11bo231bo2b2o3bo18b2ob2o3bo2bo10b2o19b3ob2ob3obo24bo$
244bo2bo12bo4bo228b5obo27bob2o36b2o37bo$260bob2ob2o25b2o200b2o2b4o26b
2o35bo5b2o36b4o$249b2o15b2o23bo2bo201bo4bo63bo7bo35bobo$247b2ob3o11b2o
bobo22b2o202b2o30b5o41bo33bo2bo$247b2obob2o5b2o4b2o3bo225bo2b2o26b5ob
2o34b2o3bo12bo21bo$248bobo3bo3b2obo3bo3b2o225bo2b4o24bo6b2o9b2o25b3o
11b4o4b3o4b2o6bo$250b3ob2ob3obo7bo227b2obobo25b2o14bo2bo23bo2bo10bo2b
2o2bo3bo3b2obo5bobo$256b2o9bo3bo221b2o6bo28b2o13b2o23bob2o14bo2b2o9bo
5bo3bo$253bo5b2o6bo3bo220b2o7b2o22b3o42bobo18b2ob2o12bo75bo$253bo7bo9b
2o23b2o195b2o35b2ob4o32bobo13b3o7bo13bobo71bo$262bo5b2o2b3o20bo2bo195b
o30bo2b3o2bobo33bo14b3o7b2o87b3o$257b2o3bo5bo2bobo22b2o196b3obo31b2o2b
2o37bo10b3o6bobo$260b3o5bo228bobo27bo2bo38bo9b3o$259bo2bo5bo7bo220bo
32bo18b2o21b2o5b2ob2o2b2o$258bob2o7b3o3bo225b2o24bo2bo17bo2bo25bo3bo3b
3ob3o$258bobo9b2o4bob2o216b2o2b2obo23b5o17b2o26b4ob2o4b2o$257bobo11b3o
3b2obo221bo73bo7b4o$257bo11bo2bo5bobo19b2o202bo21b2obo45b3obo9bo$262bo
7b2o27bo2bo201b5o17b2ob2o46bo6b8o$257bo4bo12b2o23b2o204b2o2bo14bob2obo
bo48b2o3bo4bo$260bob2o9bobo229bo2bo2bo13bo3bobo51b3o2bo$263b3o6bo232bo
2bo16b8o20b2o27bobo3bo2bobo$264b3o8bo227b2o8bo11bo7bo18bo2bo26bobo9bo
87bo$264b3o8bo229bobo2bob3o10bo2bo3b3o18b2o39bo86bo$264b2o2bo3bo2bo
233b2ob2obo10bo7b2o54b2o89b3o$267bo6bo29b2o205b3obo15b5o54bob3o$263bob
2o36bo2bo205b3o13bo7bo51bo$264bo7bo31b2o207bo16bo57bob2o$264bo8bo241bo
14bo2bo3bo49bo2bob2o$271b3o241b2o40b2o28bob5o$514b2obo10b2obo2bobo19bo
2bo29bo2b2ob2o$518bo9b2obo4b2o19b2o38bo$514bobobo3bo9bobo58bo3bo$308b
2o205b2obobob2o7b2obob2o55bo3b2o$277bo29bo2bo204b2obobo10b2obobo61bo$
278bo29b2o208b2o11b2ob2o59b2o$276b3o239bobo10b2o3bo53b3ob2o3bo80bo$
517b3o11b4obo24b2o27bo2b2o2bob3o77bo$516bo14b4obo23bo2bo26bob2o3b2o80b
3o$520bo14b3o23b2o28bo5b2o$516b2obo16b2o51b2o4b2obo$282bo29b2o202b5o
12b4o52b3ob2o3bo$283bo27bo2bo201b2o14b6o53b3o4b2obo$281b3o28b2o218bo
57bo7bobo$521bo15bobo50bo3bobo$520bob2o15b3o23b2o23bo4bobo$519b2obob2o
6bo3b2o2b2o22bo2bo24bo4bo$522bo3bo3b2obo4bo2bo23b2o31bo$287bo233bob4o
2bo3bo7bo51b3obo$288bo27b2o207bo2bo3bo6bob3o50bob3o$286b3o26bo2bo206b
4o10b5o51bob2o79bo$316b2o208b3ob2obo7bo52bo82bo$529b5o7bobobo47bo3b2o
78b3o$528bo3bobo6b2o2b2o22b2o21b2o2b3o$533bo7b2o2bobo20bo2bo25b2o$292b
o238bo2bo6b2ob2o23b2o20bo2bo$293bo236bob2o7bo2b5o41bo3b2o$291b3o26b2o
208bo14b2o3b2o38bo4bobo$319bo2bo208bo9bob2o4b2obo37bo3bo3bo$320b2o207b
2o11b2o8bo38bo7bo$529b5o8bo4bo3bo40bobo2bo$530b4o13bo25b2o22bo2bob2o$
297bo234bo13b2o2bo21bo2bo16bo9b2o$298bo235b3o8b2o26b2o17bobo2b2o3b2o$
296b3o235bobo7b3o50b2o4bo72bo$324b2o208b3o7b3o52bo2bobo70bo$323bo2bo
213bo4bobo48b4o75b3o$324b2o213bobo4bo49b6o2bo$541b2o60bo2b2o$302bo234b
3o37b2o24bobobo$303bo233b2o37bo2bo28bo$301b3o273b2o22bo5b2o$601bo6bo$
328b2o215bobo53bo7bo$327bo2bo215b2o52bo4bob2o$328b2o216bo52bo6bo$307bo
291bo2bo4bobo$308bo272b2o16b4o3bo2bo$306b3o271bo2bo20bo2bo66bo$581b2o
19bo2bobobo63bo$550bobo46bo2bo3bo2b2o62b3o$332b2o217b2o46b4o3bobo2bo$
331bo2bo216bo47b4o5b2o$312bo19b2o269b3obob2o$313bo286bo4b3ob2o$311b3o
271b2o13bo3bob2ob2o$584bo2bo16bobo2b2o$555bobo27b2o$556b2o46b2o2bo2b2o
$336b2o218bo47b2o2bo$317bo17bo2bo271bo$318bo17b2o272b3obo$316b3o289bob
3o59bo$589b2o18bobo3b2o54bo$560bobo25bo2bo20bo2bo55b3o$561b2o26b2o21b
4o$561bo50bobob2o$322bo17b2o271bo$323bo15bo2bo268b3o2b2o$321b3o16b2o
274b2o$610b3o3bo$565bobo25b2o16bobobobo$566b2o24bo2bo15bo3b2o$566bo26b
2o21bo$327bo284bo2bo$328bo15b2o266b2ob2o$326b3o14bo2bo265bob3o53bo$
344b2o265b2o3bo52bo$570bobo37b2o3b2o52b3o$571b2o24b2o11bo3b2o$571bo24b
o2bo10b3o2bo2bo$332bo264b2o11b2o3bo3bo$333bo279bo6bo$331b3o14b2o263bob
ob2obob2o$347bo2bo263b2o4bo$348b2o225bobo42b2o$576b2o35b2o2b4o$576bo
24b2o9b5o3b2o$337bo262bo2bo14bob2o$338bo262b2o10bo4bo$336b3o275bo3bo2b
o46bo$352b2o262bob2obo45bo$351bo2bo225bobo32b3o2bo46b3o$352b2o227b2o
32b2ob2o$581bo34bo5bo$342bo262b2o10b2o3bo$343bo260bo2bo4b3o5bo$341b3o
261b2o5bo8b2o$612bobo$356b2o227bobo$355bo2bo227b2o26b5o$356b2o228bo28b
obo$347bo270bo$348bo260b2o5b2o2b3o$346b3o259bo2bo8bo2bo42bo$609b2o10b
3o41bo$590bobo30b2ob2o37b3o$360b2o229b2o31bo3bo$359bo2bo228bo32bo4bo$
352bo7b2o263bo2b2o$353bo271bo$351b3o259b2o9b3o5b3o$612bo2bo8bo4b2o$
595bobo15b2o14b2o4bo$596b2o32bo4bo$364b2o230bo34bo$357bo5bo2bo265b2o$
358bo5b2o268b3o$356b3o305bo$617b2o15b2obo25bo$600bobo13bo2bo14bobobo
24b3o$601b2o14b2o17bobo2b3o$601bo32bo3bo3b2o$362bo5b2o265b2obob2o$363b
o3bo2bo267bobo$361b3o4b2o270bo$637b3o$605bobo13b2o14b3o$606b2o12bo2bo
12b2o$606bo14b2o13bo$367bo267bo3b2o$368bo3b2o262bo2bo$366b3o2bo2bo287b
o$372b2o267b2o18bo$610bobo26b2ob3o16b3o$611b2o12b2o12b2obob2o5b2o$357b
o253bo12bo2bo12bobo3bo3b2obo$356b4o4b3o5bo252b2o15b3ob2ob3obo$355bo2b
2o2bo3bo3bo2bo274b2o$358bo2b2o7bob2o271bo5b2o$361b2ob2o3b2o274bo7bo$
355b3o7bo3b3o243bobo36bo$354b3o7b2o15b3o232b2o31b2o3bo$354b3o6bobo17bo
232bo12b2o21b3o$349b3o30bo8b3o234bo2bo19bo2bo$349b2ob2o2b2o35bo235b2o
19bob2o$347bo3bo3b3ob3o30bo8b3o246bobo7bo$347b4ob2o4b2o43bo245bobo7bo$
346bo7b4o44bo8b3o206bobo26bo9b3o$345b3obo9bo15bo37bo207b2o30bo$347bo6b
8o12bobo35bo8b3o197bo27bo$351b2o3bo4bo11bo2bo46bo209b2o17b2o$353b3o2bo
15b2o46bo8b3o198bo2bo$352bobo3bo2bobo69bo199b2o$352bobo9bo67bo8b3o$
364bo78bo181bobo$360b2o80bo8b3o172b2o$360bob3o14bo73bo172bo$358bo19bob
o71bo8b3o$358bob2o15bo2bo82bo173b2o$357bo2bob2o14b2o82bo8b3o162bo2bo
18bo$357bob5o109bo163b2o18bo$359bo2b2ob2o105bo8b3o146bobo24b3o$367bo
115bo147b2o$363bo3bo114bo8b3o137bo$363bo3b2o14bo109bo$368bo13bobo107bo
8b3o$365b2o14bo2bo118bo137b2o$360b3ob2o3bo12b2o118bo8b3o126bo2bo$360bo
2b2o2bob3o141bo121bobo3b2o$360bob2o3b2o143bo8b3o112b2o$361bo5b2o154bo
112bo$359b2o4b2obo153bo8b3o$359b3ob2o3bo18bo145bo$361b3o4b2obo14bobo
143bo8b3o112bo$360bo7bobo14bo2bo154bo101b2o8bo$360bo3bobo19b2o154bo8b
3o86bob3o2bo7b3o$360bo4bobo185bo87b3ob2o$362bo4bo184bo8b3o77bo$368bo
194bo$363b3obo194bo8b3o$364bob3o22bo181bo$365bob2o21bobo179bo8b3o$364b
o24bo2bo190bo61bobo$363bo3b2o21b2o190bo8b3o52b2o$362b2o2b3o224bo52bo$
367b2o223bo8b3o$361bo2bo238bo$360bo3b2o236bo8b3o40bo$360bo4bobo27bo
217bo39bo$360bo3bo3bo25bobo215bo8b3o29b3o$361bo7bo23bo2bo24bo201bo$
362bobo2bo26b2o24b3o199bo8b3o$367bo2bob2o45b2o2b2o208bo$362bo9b2o46bob
3o207bo8b3o$362bobo2b2o3b2o45b3ob3o2b2o213bo$367b2o4bo44bo6bobob2o211b
o9bo3bo$369bo2bobo24bo17b2o4b5o224b3o2bo$366b4o28bobo16b2o3b3o2bo3b2o
222b3o$366b6o2bo22bo2bo16b2o3b2o2b2o227b2o$373bo2b2o20b2o17b3o2bo3b2o
2bo$373bobobo41bobobobobob2o$378bo46b2o2b2o221bo$371bo5b2o45bo9bo216bo
$371bo6bo50b2obo2bo215b3o$371bo7bo23bo24b2o4bo$370bo4bob2o23bobo22bobo
bo2b2o$369bo6bo24bo2bo21b2obo4bo$369bo2bo4bobo22b2o28bo2bo$369b4o3bo2b
o49b2obob2o215bo$374bo2bo50bobo2b2o215bo$372bo2bobobo47b2o3bo3bo213b3o
$369bo2bo3bo2b2o46b2ob6o$369b4o3bobo2bo25bo21b5obo$369b4o5b2o26bobo26b
ob2o$373b3obob2o24bo2bo20bo5bob2o$370bo4b3ob2o25b2o21bo6b3o211bo$370bo
3bob2ob2o48bo8b3o208bo$374bobo2b2o52b2o3bo210b3o$428bo3b2o$374b2o2bo2b
2o45b3ob2obo$374b2o2bo32bo16bo2b3o2bo$380bo29bobo21bo2bo$380b3obo24bo
2bo16bobo3bo3b2o208bo$378bob3o27b2o17bobo7bobo206bo$379bobo3b2o42bobo
4b2obo208b3o$382bo2bo52bo$382b4o$382bobob2o49bo2b2o$383bo31bo21b2obo2b
o$381b3o2b2o26bobo19bo5bobo203bo$386b2o25bo2bo20b3o5bo201bo$380b3o3bo
27b2o231b3o$381bobobobo47b3obobo3bo$381bo3b2o47b2o6bo$386bo47b2ob3o3b
2obo$382bo2bo50bo2bo3b2obo$382b2ob2o32bo16b2obo207bo$382bob3o31bobo16b
2o207bo$381b2o3bo30bo2bo15bo2bo206b3o$380b2o3b2o31b2o17b3o$380bo3b2o
50bo3bo$380b3o2bo2bo49bo$380b2o3bo3bo45b2ob2o2bo$383bo6bo43bobo5bo203b
o$383bobob2obob2o29bo10bo5bo204bo$384b2o4bo31bobo10b7o203b3o$390b2o29b
o2bo10bo6bo$383b2o2b4o31b2o11b4ob3o$382b5o3b2o43b2o6bo$388bob2o45b5ob
2o$383bo4bo48b2obo3bo200bo$384bo3bo2bo49bob2o199bo$386bob2obo35bo12b3o
b3o197b3o$385b3o2bo35bobo10b2o4bo$385b2ob2o35bo2bo9bob4obo$386bo5bo33b
2o9b2o3b2ob2o$387b2o3bo47bo2bobo$382b3o5bo50bobob2o197bo$382bo8b2o48bo
bo199bo$382bobo56bob2o198b3o$431bo9bo2bo$384b5o41bobo7bo2b2o$385bobo
41bo2bo7bo2bobo$388bo41b2o9bo3bo$386b2o2b3o53bo196bo$390bo2bo51bo196bo
$391b3o47b4o197b3o$393b2ob2o43bo4b2o$394bo3bo36bo6bo6bo$394bo4bo34bobo
8bo3bo$395bo2b2o33bo2bo8bo3bo$395bo38b2o10bob2o192bo$394b3o5b3o43b2o
191bo$394bo4b2o47bo2b2o188b3o$399b2o4bo43bo2bo$400bo4bo43bo$401bo37bo
11bo$402b2o34bobo10bob3o$404b3o30bo2bo10bo4bo184bo$438b2o11bo4bo183bo$
404b2obo43b7o182b3o$404bobobo41bobo$406bobo2b3o38bo4b5o$404bo3bo3b2o
36b3o7b2o$405b2obob2o31bo13b2o$408bobo31bobo11b4o180bo$410bo30bo2bo10b
o2b2o179bo$407b3o32b2o10bo184b3o$407b3o44bo$406b2o46bo2bo$406bo47bo$
405bo3b2o44b2o3b2o$406bo2bo37bo10bobobo176bo$446bobo10bo2bo175bo$411b
2o32bo2bo12b3o174b3o$409b2ob3o31b2o12bo$409b2obob2o5b2o38b2ob3o$410bob
o3bo3b2obo37bo3bobo$412b3ob2ob3obo37bo$418b2o40bob2o174bo$415bo5b2o28b
o11bo173bo$415bo7bo26bobo6bo3bo173b3o$424bo11bo12bo2bo5bo2b4o$419b2o3b
o10b4o4b3o4b2o6bo2b2o$422b3o9bo2b2o2bo3bo12bobo4bo$421bo2bo12bo2b2o18b
3o$420bob2o16b2ob2o16bo3bo171bo$420bobo11b3o7bo16b2obo171bo$419bobo11b
3o7b2o16bob3o170b3o$419bo13b3o6bobo16bo3bobo$423bo4b3o20b2o7bo3bo$419b
o8b2ob2o2b2o14bobo10bo3bo$422b2o2bo3bo3b3ob3o11b3o$426b4ob2o4b2o16bo
11bo168bo$425bo7b4o16bo181bo$424b3obo9bo14b3o179b3o$426bo6b8o$430b2o3b
o4bo$432b3o2bo$431bobo3bo2bobo11b2o$431bobo9bo10bobo178bo$443bo11bo
178bo$439b2o193b3o$439bob3o$437bo$437bob2o$436bo2bob2o$436bob5o15b2o
174bo$438bo2b2ob2o12bobo172bo$446bo12bo173b3o$442bo3bo$442bo3b2o$447bo
$444b2o$439b3ob2o3bo184bo$439bo2b2o2bob3o11b2o168bo$439bob2o3b2o14bobo
167b3o$440bo5b2o15bo$438b2o4b2obo$438b3ob2o3bo$440b3o4b2obo$439bo7bobo
182bo$439bo3bobo185bo$439bo4bobo19b2o163b3o$441bo4bo19bobo$447bo19bo$
442b3obo$443bob3o$444bob2o183bo$443bo186bo$442bo3b2o182b3o$441b2o2b3o
22b2o$446b2o22bobo$440bo2bo27bo$439bo3b2o$439bo4bobo183bo$439bo3bo3bo
181bo$440bo7bo180b3o$441bobo2bo$446bo2bob2o21b2o$441bo9b2o21bobo$441bo
bo2b2o3b2o22bo$446b2o4bo176bo$448bo2bobo174bo$445b4o179b3o$445b6o2bo$
452bo2b2o$452bobobo21b2o$457bo20bobo$450bo5b2o21bo148bo$450bo6bo169bo$
450bo7bo168b3o$449bo4bob2o45b2o$448bo6bo46b2o$448bo2bo4bobo45b2obo$
448b4o3bo2bo23b2o18bo3b3ob2o$453bo2bo25bobo16b6ob2o2bo114bo$451bo2bobo
bo24bo16b2ob2o4bo116bo$448bo2bo3bo2b2o40bo4bo6bobo111b3o$448b4o3bobo2b
o39b5o4b3o2bo$448b4o5b2o41b3obo4b2o$452b3obob2o45b2o2bobo$449bo4b3ob2o
41bo3b2o3b2o$449bo3bob2ob2o26b2o18bo3bo2bobo110bo$453bobo2b2o26bobo20b
3o2b3o108bo$487bo21b2obo112b3o$453b2o2bo2b2o49bob3ob2o$453b2o2bo51bo2b
o$459bo48b2obo2bobo$459b3obo44b2o2b3o$457bob3o47bo2bo2bobo107bo$458bob
o3b2o24b2o17b2obob2o2b2o104bo$461bo2bo25bobo18bob3o108b3o$461b4o26bo
25b3o$461bobob2o51b2o$462bo$460b3o2b2o43b2o6bo2bo$465b2o43b2obo4b4o
102bo$459b3o3bo45b2o3b5o102bo$460bobobobo27b2o15bo3b2o106b3o$460bo3b2o
28bobo14b2o4bo$465bo29bo15bo4b2o$461bo2bo44b5o2bo2bo$461b2ob2o46bo5b2o
$461bob3o45b2o6bob3o99bo$460b2o3bo46bo4b2o3b2o98bo$459b2o3b2o49b4o103b
3o$459bo3b2o33b2o18b3o$459b3o2bo2bo30bobo18bo4bo$459b2o3bo3bo30bo19b7o
$462bo6bo52bob2o$462bobob2obob2o45b3o3b2o96bo$463b2o4bo51bo5bo93bo$
469b2o47b2ob3o2bo94b3o$462b2o2b4o47b2o3b2ob2o$461b5o3b2o31b2o13bobo2bo
bobobo$467bob2o31bobo13b2ob5o3bo$462bo4bo35bo14b2o3bo2bobo$463bo3bo2bo
48bo2bo98bo$465bob2obo49bo99bo$464b3o2bo49b3o98b3o$464b2ob2o49bo$465bo
5bo46bob3o$466b2o3bo34b2o15bo$461b3o5bo36bobo8bo6bo$461bo8b2o35bo8b2ob
o3bo96bo$461bobo55bob2o96bo$520b3o96b3o$463b5o55b2o$464bobo49b4o4bo$
467bo49b5obobo$465b2o2b3o38b2o5bo6bo$469bo2bo37bobo11bo2bo91bo$470b3o
38bo12bo2bo90bo$472b2ob2o45b6o90b3o$473bo3bo42bob2obo$473bo4bo41bo7bo$
474bo2b2o41bo4b3obo$474bo46bo3bobo$473b3o5b3o30b2o5b2o4bobo88bo$473bo
4b2o34bobo5b2obob2o88bo$478b2o4bo30bo7bob5o87b3o$479bo4bo36bob2o2bo$
480bo43bo$481b2o38bo4bo2bo$483b3o36bo3b2o$526bo90bo$483b2obo31b2o4b2o
90bo$483bobobo30bobo2b2o4bo86b3o$485bobo2b3o26bo4bo3bobo$483bo3bo3b2o
31bo2bo3b2o$484b2obob2o36bobo$487bobo$489bo39b2obobo81bo$486b3o42bo2bo
80bo$486b3o33b2o7b2o82b3o$485b2o35bobo7bob2o$485bo37bo$484bo3b2o42bo$
485bo2bo45b2ob2o$534bo2b2o76bo$490b2o122bo$488b2ob3o37bo2bo5bo73b3o$
488b2obob2o5b2o24b2o4b2o5b4o$489bobo3bo3b2obo23bobo5bo4b2ob2o$491b3ob
2ob3obo24bo$497b2o37bo$494bo5b2o36b4o72bo$494bo7bo35bobo72bo$503bo33bo
2bo72b3o$498b2o3bo12bo21bo$501b3o11b4o4b3o4b2o6bo$500bo2bo10bo2b2o2bo
3bo3b2obo5bobo$499bob2o14bo2b2o9bo5bo3bo$499bobo18b2ob2o12bo75bo$498bo
bo13b3o7bo13bobo71bo$498bo14b3o7b2o87b3o$502bo10b3o6bobo$498bo9b3o$
501b2o5b2ob2o2b2o$506bo3bo3b3ob3o$506b4ob2o4b2o93bo$505bo7b4o94bo$504b
3obo9bo92b3o$506bo6b8o$510b2o3bo4bo$512b3o2bo$511bobo3bo2bobo$511bobo
9bo87bo$523bo86bo$519b2o89b3o$519bob3o$517bo$517bob2o$516bo2bob2o$516b
ob5o87bo$518bo2b2ob2o83bo$526bo82b3o$522bo3bo$522bo3b2o$527bo$524b2o$
519b3ob2o3bo80bo$519bo2b2o2bob3o77bo$519bob2o3b2o80b3o$520bo5b2o$518b
2o4b2obo$518b3ob2o3bo$520b3o4b2obo$519bo7bobo78bo$519bo3bobo81bo$519bo
4bobo80b3o$521bo4bo$527bo$522b3obo$523bob3o$524bob2o79bo$523bo82bo$
522bo3b2o78b3o$521b2o2b3o$526b2o$520bo2bo$519bo3b2o$519bo4bobo79bo$
490b2o7b2o18bo3bo3bo77bo$489b2o3b3ob3o19bo7bo76b3o$491b2o2b2obobo20bob
o2bo$490bob2o5b2o25bo2bob2o$490b2ob5ob2o20bo9b2o$490b2o5bo2bo20bobo2b
2o3b2o$489bo8b3o25b2o4bo72bo$484b3ob2o9b2o27bo2bobo70bo$482b2ob2obo2b
2o32b4o75b3o$482b5o2bob2obo30b6o2bo$480bo7b3o3bo37bo2b2o$480b7o6bo38bo
bobo$479bo4bo2b4o2b2o42bo$481b3o9bo36bo5b2o66bo$480b3o7b4o36bo6bo65bo$
488bo5b3o33bo7bo64b3o$485b3o41bo4bob2o$497bo30bo6bo$528bo2bo4bobo$495b
2obo29b4o3bo2bo$493b2obo36bo2bo66bo$493bo4bo32bo2bobobo63bo$492bo35bo
2bo3bo2b2o62b3o$491b4o33b4o3bobo2bo$491bob4o31b4o5b2o$493bo3b2o33b3obo
b2o$492b2o2bob2o29bo4b3ob2o$496bobo2bo27bo3bob2ob2o62bo$497bo2bo32bobo
2b2o61bo$502bo98b3o$500bobo30b2o2bo2b2o$494b3o2b2ob2o29b2o2bo$493bo2bo
bo3b3o34bo$493bo4b4o2bo34b3obo$496b3ob3obo32bob3o59bo$493bo6b5o33bobo
3b2o54bo$492b2ob2o3b4o37bo2bo55b3o$492b3obo44b4o$493b2o4b2o40bobob2o$
496b2obo42bo$493bo4b2o40b3o2b2o$495bo3bo45b2o53bo$498bo40b3o3bo53bo$
497bo4bo37bobobobo52b3o$496bo2b3o38bo3b2o$497bo47bo$497b3o41bo2bo$500b
o40b2ob2o$496bobobo40bob3o53bo$495bo4bob2o36b2o3bo52bo$496bo3b2o37b2o
3b2o52b3o$495b2o4bo37bo3b2o$493bobo43b3o2bo2bo$493bo2bobob2o37b2o3bo3b
o$493bo7bo40bo6bo$494b3o4b3o38bobob2obob2o45bo$496bo9bo36b2o4bo47bo$
501b2o3b2o41b2o46b3o$496b3o2b2o3bobo33b2o2b4o$500bo2bo3b3o31b5o3b2o$
500b2obo3b2o38bob2o$500b3obob3o33bo4bo$499b3o2bobo36bo3bo2bo46bo$500bo
bobo2b2obo34bob2obo45bo$501b5ob6o31b3o2bo46b3o$502b2o3b2o3bo31b2ob2o$
510bo34bo5bo$505bo4bo35b2o3bo$504bobo3bo3bo26b3o5bo$503bo2bo6bo27bo8b
2o44bo$510bobo28bobo51bo$502bob2o3bo85b3o$502bo3b2obo2bo30b5o$502bo5b
2o34bobo$503b2o4bobo35bo$505bo3bobob2o30b2o2b3o$506b2ob3o2bo34bo2bo42b
o$502b2o2b2o3bobo36b3o41bo$502b2o2bo3b2o40b2ob2o37b3o$506bo46bo3bo$
506bo2bo25b2o16bo4bo$511b3obo18b2o18bo2b2o$509bob2o23b2obo14bo$508bob
2o3bo18bo3b3ob2o9b3o5b3o30bo$507bo5bobo17b6ob2o2bo8bo4b2o33bo$508b2o3b
o18b2ob2o4bo16b2o4bo28b3o$513b4o15bo4bo6bobo12bo4bo$516b3o13b5o4b3o2bo
13bo$516b2ob2o11b3obo4b2o18b2o$516bob3o16b2o2bobo19b3o$514b3o16bo3b2o
3b2o49bo$517bo20bo3bo2bobo15b2obo25bo$516b2obo21b3o2b3o14bobobo24b3o$
515bo2b2obo19b2obo20bobo2b3o$515b3o2bo22bob3ob2o12bo3bo3b2o$514bo2bobo
21bo2bo19b2obob2o$514b4obo20b2obo2bobo18bobo$516bo23b2o2b3o22bo22bo$
517b2o2bo19bo2bo2bobo16b3o22bo$516bo3bo20b2obob2o2b2o14b3o22b3o$515b5o
23bob3o17b2o$515b2o2bo29b3o13bo$518bo31b2o12bo3b2o$516bobob2o43bo2bo$
513b2obobo23b2o6bo2bo37bo$513b2obobobo21b2obo4b4o16b2o18bo$513b3o2b2o
23b2o3b5o15b2ob3o16b3o$515bobo2b2ob2o18bo3b2o19b2obob2o5b2o$517b2ob2o
2b2o17b2o4bo19bobo3bo3b2obo$517bo6bo18bo4b2o21b3ob2ob3obo$517bo3bob2o
16b5o2bo2bo25b2o$517bo4b2obo18bo5b2o22bo5b2o8bo$516b3o3bo20b2o6bob3o
18bo7bo6bo$515b3obo2bo21bo4b2o3b2o27bo5b3o$519bob5o21b4o27b2o3bo$520b
3o27b3o28b3o$551bo4bo23bo2bo$521b2o2bo25b7o21bob2o$521bo2bo29bob2o21bo
bo7bo$522b3o25b3o3b2o20bobo7bo$520b2ob2o28bo5bo18bo9b3o$516b3obo29b2ob
3o2bo23bo$515bo2bo6b2o22b2o3b2ob2o19bo$515bo2bo30bobo2bobobobo20b2o$
519bo30b2ob5o3bo$517bo2b3o27b2o3bo2bobo27bo$521b2o28bo2bo32bo$518b5o
29bo34b3o$522b2ob2o24b3o$522b2o2bo23bo$523bo26bob3o$528bo26bo$528b5o
16bo6bo30bo$527bo3b2o15b2obo3bo30bo$527bo2b2obo17bob2o31b3o$528b2o2b2o
18b3o$528bo26b2o$529bo4bo2bo10b4o4bo$529bo4b2ob2o10b5obobo$549bo6bo29b
o$556bo2bo25bo$538bo17bo2bo25b3o$535bo3bo14b6o$536bo2bo12bob2obo$537bo
14bo7bo$538bob2o10bo4b3obo$538bobob2o2bo6bo3bobo25bo$539bo2bob2obo5b2o
4bobo22bo$542bo4bo6b2obob2o23b3o$540bobobobo8bob5o$540b3obo8bob2o2bo$
540b6o10bo$542b3o8bo4bo2bo$554bo3b2o24bo$539b3o16bo24bo$541bo14b2o25b
3o$539bob4o10b2o4bo$543b2o11bo3bobo$543bo12bo2bo3b2o$544b2o13bobo$544b
obob2o5bo27bo$543b3o2bo5b3o4b2obobo15bo$544bo6b2o10bo2bo15b3o$544b2o7b
2o8b2o$547bo4bo11bob2o$548b5o3b2o$556bobo5bo$556bo2bo6b2ob2o11bo$555b
2o9bo2b2o10bo$554b3o24b3o$558b2o3bo2bo5bo$553b2o3bo5b2o5b4o$553bo3bo8b
o4b2ob2o$553bob2o$554bo13bo12bo$570b4o6bo$557b3o10bobo7b3o$558b2o9bo2b
o$557b2ob2o8bo$557b2o2bo8bo19bo$558bo2bo8bobo16b4o$558b3o5bo3bobo7bo7b
o2b2o$567bo11bo12bo$565b3o11b3o6bo5bo3bo$587b4o4b3obo$587bo3bo4bo$586b
ob3o5bo2b2o$589bo6b5o$571bo7bo5b4obo2b2o2bobo$572bo5bo8b2o2bo5b4o$570b
3o5b3o6b2o3bo3bo3bo$596b5o$594b3o3bo2bo$598b3obobo$596bo$595b3obo4bo$
576bobo16bo4b3o$575b2ob2o16b2o3b2obo$596bo4b4o$597bobo2bo$577b2o2bo14b
3obo3bo$577bobobo15b2o5b2o$597b3o3b2obo$597b3o3b2o2bo$597bo2bo3bob2o$
579bobo16bo$580bo17bo3bo$601b2o$596b3ob3o$596b2obo$596b2o3bo3bo$598b4o
bob2obo$598bo3b2ob5o$606bo$605b2ob2o$606b3o$609bo$605bo4b2o$605bo5b3o$
605bo5b3o$606b3o$604b5o$604bo5bob2o$603bob2ob4ob2o$611bo$606bo2bo2b2o$
607b2o$607b3o$605bo$605b5o$604bo$604b2ob2o$603bo4b2o$603bobo$579b3o20b
2o$578bo2b2o3b5o11b2ob3ob2o$578bo4bob4o3bo9b2o4bo3bo$581bo3bo17b2o5bo
2bo$578bo10bo3bo15bo$578b2obo2bo2b2o4bo16b2o2bo$578bo4bo2bo22b5o$573bo
b2o10bo4bo14bo$572b2o5bo3bo5bo$571bo3bo3b2o2bo23b2o$570b4o3bo5bo22b2o
5b3o$569bo4b2o2b4o24b2ob3o2b2o$569bo2b5o31bobo$569bo3b3ob4ob2o28bob2o$
571bo7bobob2o23bo3bob2o$576b2o3b2o25bo3bobo$576b2o3bo2b3o21bo5bo$575bo
6bob3o21bo3bob2o$576bo7b2obo21bo$584bobo23b3o$583bo2b2o$582bo27bo4bo$
581b3o26bo3bo$580bo2bobo24bobo$580b3o2b2o$582bo5b2o$586bob2o$587bo2bo$
587b4o$587b2o2bo$588bo2bo$584b2o2bo$583b2o2bo3bob2o$585bo2b3o2b2o$583b
o2bob2o2b2o$583bo4bo3b2o$582bo4bo4b3o$583bob2o5b3o$585bo4bo$583b3o4bo$
583b2ob3o$586b2ob2o$587bob2o$586b3obo2$590b2o$587b4o$587b2obo$586bo3bo
$585b2o4bo$585b3o3bo$584bo2bo$583b3o3bo$582bo2b2o2bobo$585bob4obo$582b
o2b3o2bobo$583bobo5b3o2bo$585b3o3bo3b2o$585bo3b3o$586bo9bo$592bo2bobo$
588bob3o2b2o$589bo3b2ob2o$596bo2bo$596bob3o$595b2o2bo$595b2o2b2obo$
595b5o2bo$595b5o$594bobo3b3o$593b3o4bo$592b3o5b3o$601bo$591bo3b2obobo$
591bo6bobobo$596b2obo2b3o$592b2ob3obobo$593bo3bobobo2bo$596b2o4bo$592b
o2bo4bobo$593b5ob2obo$595b2o4b2o$600b2o2bo$598b4o3bo$597b2o5bo$600bo$
602b2o2b2o$601b3ob3o$606bob2o$605bo2bobo$605b2obo$609bo$605bobob2o$
604bo2bob2o$604bo$610bo$603b2obobobo$605b2ob2o$606b2o$605bo2bo$606bobo
$605bo2bo$604bo4bo$604bo3b2o$603bo4bo$603b2o3bo$604bobobob3o$606bob4ob
obo$606b3o3b2obo$613bobo$609bobo$606bo5b2o$606b2o2bo2bo$605bo2b2o3bo$
607b5obo$607b2o2b4o$609bo4bo$609b2o$609bo2b2o$609bo2b4o$610b2obobo$
606b2o6bo$605b2o7b2o$606b2o$607bo$607b3obo$610bobo$610bo$614b2o$609b2o
2b2obo$615bo$617bo$617b5o$619b2o2bo$618bo2bo2bo$618bo2bo$616b2o8bo$
618bobo2bob3o$622b2ob2obo$624b3obo$625b3o$626bo$628bo$628b2o$627b2obo$
631bo$627bobobo3bo$628b2obobob2o$628b2obobo$631b2o$631bobo$630b3o$629b
o$633bo$629b2obo$629b5o$629b2o2$634bo$633bob2o$632b2obob2o6bo$635bo3bo
3b2obo$634bob4o2bo3bo$638bo2bo3bo$638b4o$639b3ob2obo$642b5o$641bo3bobo
$646bo$644bo2bo$643bob2o$643bo$644bo$642b2o$642b5o$643b4o$645bo!
vilc made the jump to an adjustable rake in this post, and reduced the minimum period to 48, making possible rakes of any multiple-of-24 period.

hotdogPi
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Re: Spaceship Discussion Thread

Post by hotdogPi » November 4th, 2024, 3:17 pm

This push is known, but at displacement (2,2), could it be attached to a Cordership?

Code: Select all

x = 10, y = 14, rule = B3/S23
4b2o$4bobo$5b2o$7b2o$2o5bobo$obo5b2o$b2o$3b2o$3bobo$4b2o2$6bo$6bo$6bo!
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196

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dvgrn
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Location: Madison, WI
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Re: Spaceship Discussion Thread

Post by dvgrn » November 4th, 2024, 3:58 pm

hotdogPi wrote:
November 4th, 2024, 3:17 pm
This push is known, but at displacement (2,2), could it be attached to a Cordership?

Code: Select all

x = 10, y = 14, rule = B3/S23
4b2o$4bobo$5b2o$7b2o$2o5bobo$obo5b2o$b2o$3b2o$3bobo$4b2o2$6bo$6bo$6bo!
I'm thinking it will be maybe not completely impossible, but pretty tough -- based on this experiment:

Code: Select all

x = 61, y = 34, rule = B3/S23
17b2o$17bobo$18b2o$20b2o$13b2o5bobo$13bobo5b2o$14b2o$16b2o$16bobo$17b
2o2$24bo$19b2o2b2o$20b2obobo$19bo2$32b2o$14b3o15bobo$16bo15bo$15bo2$10b
o30b2o$10b2o28b2o$9bobo30bo3$5b2o42b3o$4bobo42bo$6bo43bo2$59bo$2o56b2o
$b2o55bobo$o!
If I've got this right, the above moves the fleet the correct distance in 108 ticks... but it needs to be 96 ticks. The reaction doesn't _quite_ recover completely in 24 ticks -- the above shows 27 ticks between each successive set of glider pairs reaching equivalent positions, and it can't be easily tightened up any more.

Theoretically maybe the pushes could be done from alternate back corners, but that only gets you down to 26 ticks at best, and any number bigger than 24 means you'll have to install air brakes in the Cordership somehow. Plus there's a spark that happens at the other corner that causes trouble getting the blinker in, anyway (at least with this recipe):

Code: Select all

x = 67, y = 63, rule = B3/S23
2bo$obo$b2o15$11bo$12bo$10b3o10$23b2o$23bobo$24b2o$26b2o$19b2o5bobo$19b
obo5b2o$10b2o8b2o$9bobo10b2o$11bo10bobo$23b2o2$30bo$25b2o2b2o$26b2obo
bo$25bo2$3o$2bo$bo3$16bo30b2o$16b2o28b2o$15bobo30bo7$65bo$6b2o56b2o$7b
2o55bobo$6bo!

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C_R_116
Posts: 839
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Location: At my home doing other random stuff.

Re: Spaceship Discussion Thread

Post by C_R_116 » November 21st, 2024, 6:02 pm

New c/6d (found with WLS):

Code: Select all

x = 95, y = 93, rule = B3/S23
2bo$2o$bo2bo$2b2obo$3b4o$5b2o$14b2o$6bo2b4ob2o$8b2obo3bo2b3o$7bo2bo4b
obo$6b2obo6b2o3bo$19bo$19b3ob2o$6b2ob2o9b4o$6b2obo6b2o3b2o3bo$6b2ob2o
4bobo6b3o$8bo5b2o10bo$8b2o6bo10b2o$8b2o6bo10b2o$9bob2o14bo$12bobo13bo
$11bo$11bobo13b2o3bo$27b4o2bo$12b3o13b2obob2o$14b2o3bo10bob3o$15bo3bo
2bo5b2o4bo$15bo2bob2obo5bo4b3o$21bobo2b2ob2obo4bo$22b2o3bo2bob3o3bo$27b
obo9bo$23b2obo2bobo2b3obo$24bobo2bo7b2o$24b2o4b3o$26bobo2b2o$30b4o$27b
o2b3obo4b3o$27bo5b2o4b2obo$29bo3b2o2bo3b2o$36bo$36bo2bo3b3o$37b2o4b3o
$42bo2bob2obo$41b3o3bo3bo$48bob2o$41bob3o3b3obo$43b3o8bo$42b2obo2bob3o
bo$46bob5o$44bobobobo2b2o$46bo5b2o$44b2o$47bo2b2ob2obo$46b4o8b2o$48bo
3bob2o2b2o$50bobob2o$65bo2bo$54b2obo6b2ob2o$53bo2bobo9bo$54bo4bo2b3ob
2o$59bo2bo4bo$59bo4b2ob2o$63bob2o$63b4o$57b3o2b3obo4bo$56bobo3bo2b2o3b
ob2o$55b3o4bo4bo3bobo$62b2ob3o2b3o$57bobo5bo2bob2o6bo$66b3o7b2obo$66b
2o4bo2bobo$65b2o2bo5bo4bo$65bo5b2o3b2o2b2o$71b2obobo2bo$74b3ob3o$71bo
4bo2bobo$70bo8bo3b2obo$68b2o7bobo3bo2b3o$70bo5bo3bob2o2b3o$72b6o2bobo
3b2o$74bo6bo$73bo6b2o$73bo4bo4b2o$76b2obo3b3obo$75bo3b2o2b2obo3b2o$76b
o2bo4bo2b2o3bo$77b2o4b2o4bo2bo$84bo5bob3o2$85b2o$85b2o$85bobo$87b3o!
It shares a frontend (and a backend) with two previously discovered ships:

Code: Select all

x = 144, y = 94, rule = B3/S23
26b2o$25b3o$26bob2o$27bobo$27bo$31bo7bo$28bob2o2b2o2bobo$33b3o2bo3bo$
32b2obo8bo69b2o$32bo5bobo3bo67b2o2bo$31bo2bo3bob2o2b2o$31b2o11bobo64bo
$32b2o10b2obo60b4obo$31b2o11b3o2bo58b3obo$31bo8b2o6b2o57bobo$31bob2o5b
2o7b3o54bob2o$32bo2bo3bo2bo8bo53b2o$34b2o3b2o63b2obo2bo$33bob2o14bo52b
4obo$32b3ob3o12b2o49b2o$34bo4bo12b2o47b2o$36bo14b3o47b2obo$36bo14bo2b
2o43bob2obo$37bo14b3obo41b2ob2o$37b3o13bob2obo38bo4b2o$b2o56bo37bo3bob
o$3o36b5o9bob4o39bo3bo$bob2o35bo3bob2obo2b5obobo33bo3b3o$2bobo37bo3bo
4bo10bo30bobo4b4o$2bo48bobob6o31bo3bo3b3ob2o$6bo7bo33bob2ob2o3bo2b2o
33bo9bo8b2o$3bob2o2b2o2bobo32b3o4bo6bo27b2o14b2o8bo$8b3o2bo3bo32bo2b3o
b2o32b2o10b2o2b2o5bob2o$7b2obo8bo28bo3bobo8bo23b4o2b2o13b3o2b2o2bo$7bo
5bobo3bo28bo3bo8bobo23b2o20b2o3b2o$6bo2bo3bob2o2b2o29bobo3b2o4b3o45bo$
6b2o11bobo30b2o2b2o6b2o20bo28b2o$7b2o10b2obo30bobobo6bobo17bo2bo21b2o
3b4o$6b2o11b3o2bo29b4o4bo2b2o17bo2bo21bob2o4bo$6bo8b2o6b2o30b2o4b2o20b
o22b2o3bo3b4o$6bob2o5b2o7b3o33bo2bo18bo23b2o3bo3bob3ob2o$7bo2bo3bo2bo
8bo34bobo3b3o13b2o21b2obo5bo6bo$9b2o3b2o46b3obobobobo33b2obobob5o3bo$
8bob2o14bo37b2o2bobob2o32b4obo5b3o$7b3ob3o12b2o36bo8bobo31bo9bobo6b3o$
9bo4bo12b2o36bobo2bobo3b2o37bo2bo3bo3b2o$11bo14b3o39bo2b6obo35bo4bob4o
$11bo14bo2b2o36b2o3bo2bobo36bo3bo2b4o5bo$12bo14b3obo35bobo2b3o4bo35b2o
5bobo3b2obo$12b3o13bob2obo36bo6b2o44b2o3b2obo$34bo39bo2b2o41b2o12bo$
14b5o9bob4o34bobo5bob3o38bo2bob2o3b2o2bobo$15bo3bob2obo2b5obobo34bobo
2bo2bo39b5o2bo3bo2b5o$17bo3bo4bo10bo37bo5bobo34bobo3bo2b2o3bo3bo$26bob
ob6o35bob4o2b2obo39bo3b3o3b4o$23bob2ob2o3bo2b2o41b2obo7b2o29b2o4b3ob5o
$23b3o4bo6bo43b3o7bo29b3o7bo$25bo2b3ob2o8b2o34bo3b2o5bob2o33bob6o$23bo
3bobo8bo3bo2bo32b2o3b3o2b2o2bo33bob2o2bo3b2o$23bo3bo8bobo3bo35b2o4b2o
3b2o35bo9b2o2bo$25bobo3b2o4b2ob2o43bo40bobo3bo3bob2obo$27b2o2b2o10bo
46b2o34bo2bo3b2o4bo2bo$28bobobo8bo5bo36b2o3b4o42bo4b3o$29b4o2b2o5b2o3b
o36bob2o4bo34bobo4b3o5b2o$30b2o11bo2b2o33b2o3bo3b4o41b2o$34bo2bo6b3o
34b2o3bo3bob3ob2o37bo$34bobo5bo38b2obo5bo6bo36bo2bo$32b2o7b3o7bo29b2ob
obob5o3bo38b3o$31b2ob3o6bo6bobo28b4obo5b3o42b2o$33bob3o4b5o2b2obo29bo
9bobo6b3o$35b4o3b3o3b2o40bo2bo3bo3b2o$44bo4bo3b2o34bo4bob4o$39bo5bo3bo
2bo2bo33bo3bo2b4o5bo$39bo5b4o3b2o36b2o5bobo3b2obo$39bo4b3o2bo2bo5bo39b
2o3b2obo$42bo3b4o3b2obo3bo34b2o12bo$42bo3bo2b2o2b4o3bo33bo2bob2o3b2o2b
obo$42bobob2obo3bobo4bo32b5o2bo3bo2b5o$46b2o2bo9bo32bobo3bo2b2o3bo3bo$
50bo2b3o3bo37bo3b3o3b4o$45bobo48b2o4b3ob5o$46bo5bo4bo38b3o7bo$49b2obo
3b2o2b2o39bob6o$49b2ob2o5bo3b2o36bob2o2bo3b2o$49b2o6bob2ob2obo35bo9b2o
2bo$51bo5b3o2b2o2bo34bobo3bo3bob2obo$52bo4bo2bo3bo36bo2bo3b2o4bo2bo$
58bo7b2o42bo4b3o$102bobo4b3o5b2o$58b2o50b2o$58bo2bo48bo$59bo49bo2bo$
61b2o47b3o$112b2o!
Lightweight sparker comparison:

Code: Select all

x = 182, y = 235, rule = B3/S23
57bo$56b2o$55b2o$54bo2$52b2o$52bob2obo$53b3obo$49bo4b2obob2o$48b2o6b2o
4bobo$57bo2bobo2bo$45bo3bo8b2o2bo2bo$45bob2obo14bo$44bo2bo4bob2o5bo4b
3o$44bo7b2obo4bo3bobo$45bo6bo2b2o3bo3bob3o$55b2o2b2o$53bobo2bob2o2bo4b
o$53b3o2bob3o5b2o$53b3o3b2obob2obo4b2o$53bobo5bo2bo3b2ob4o$54bo5bo2b2o
3bobo3bo$64bo2b2obo$56b2o9b6o$56b2obob2ob2obo4bo$58b3o3b2o2b5ob2o$64b
2o10b2o$68b3o3b3obo$64bo3b3o5b2o$64b2o9b2o5bo$64b2o2bo5bobo4b3o$64bo3b
obo2bo3bo$73bo3b2o3b2o$69b2o6b2o2bo2bo$69b2o3b2o7bo$78bobo2bo$74b2o2b
o4b2o$74bo9b3o$73b3o3b2o5b2ob3o$72bo3b2o3bobo2b2obobo$73bob2obo2bo$77b
o2b2ob2o6b2ob2o$81bobob2o$84b3o6bo2bo$94bo3bo$82b2o6b2o3bo3b2o$82b3o5b
2o4b2o$81bo2bo4bo8b3o$84b2o3b2ob2o$83bobo3b2o2bo$86b2ob5ob3o$85b2ob7o
3bo4bo$33bo53b2obob2o2bo4b2obo$31b2o56b3o4bobo3bo$32bo2bo55bo2b2o6bo3b
o$33b2obo51b3o7b2o7b3o$34b4o61b4o3b3obo$36b2o58b3o9bo$45b2o48bob3o9bo
2b2o$37bo2b4ob2o47b2ob5ob3o3bo3bo$39b2obo3bo2b3o44bo$38bo2bo4bobo54bo
2bo$37b2obo6b2o3bo50b2obo5b3o$50bo53bo9bo$50b3ob2o42b2ob2o5b4o3bo$37b
2ob2o9b4o43b2o8bo2bobo2bo$37b2obo6b2o3b2o3bo42b3o4bob2obo$37b2ob2o4bo
bo6b3o50b2ob2o$39bo5b2o10bo45bobobo4bo3bo$39b2o6bo10b2o42bo5bo5b3o$39b
2o6bo10b2o42bo2bo5bobobo4bo$40bob2o14bo44bob4o2bo3bo2b2obo$43bobo13bo
47b3o2bo2b2o4bo$42bo70bobo4b3o$42bobo13b2o3bo56bo3bo$58b4o2bo49b2o6b2o
$43b3o13b2obob2o48bo2b2o3bo$45b2o3bo10bob3o48bo4bo9b2o$46bo3bo2bo5b2o
4bo50b2obo5b4o2bo$46bo2bob2obo5bo4b3o49bo7b2obobo$52bobo2b2ob2obo4bo50b
o7b2o$53b2o3bo2bob3o3bo49bo9bo$58bobo9bo51b2o5bo4b2o$54b2obo2bobo2b3o
bo50b2o2bo3bo2b5o$55bobo2bo7b2o54bo6bo3b2o$55b2o4b3o55bo3b3ob3obob2ob
3o$57bobo2b2o60b2o2b5obo$61b4o55b3o5b2o$58bo2b3obo4b3o55b6o7bo$58bo5b
2o4b2obo52bo3bo4bo3b2obo$60bo3b2o2bo3b2o52b2o7bo2bobo$67bo59b2o3bo5bo
4bo$67bo2bo3b3o51bobo3b2o3b2o2b2o$68b2o4b3o52bo4b2obobo2bo$73bo2bob2o
bo47b2o6b3ob3o$72b3o3bo3bo51bo4bo2bobo$79bob2o50bo8bo3b2obo$72bob3o3b
3obo46b2o7bobo3bo2b3o$74b3o8bo47bo5bo3bob2o2b3o$73b2obo2bob3obo49b6o2b
obo3b2o$77bob5o53bo6bo$75bobobobo2b2o50bo6b2o$77bo5b2o51bo4bo4b2o$75b
2o62b2obo3b3obo$78bo2b2ob2obo50bo3b2o2b2obo3b2o4bo$77b4o8b2o48bo2bo4b
o2b2o4b2obo$79bo3bob2o2b2o49b2o4b2o4bo2bo$81bobob2o60bo5bo2b2o$96bo2b
o57bo$85b2obo6b2ob2o48b2o4bo2bo$26bobo55bo2bobo9bo48b2o4bo2bo$26bo58b
o4bo2b3ob2o48bo2bo2bo4b2o$26bo3bo59bo2bo4bo54b3o2bob2o$27b2obo59bo4b2o
b2o49b2o3bobo2b3o$29bo64bob2o50bo11bo$31b2o7bo53b4o50b3o5b3obo3bobo$31b
4obo2bo48b3o2b3obo4bo46b2o4bo2bobo2b2ob2o$32bo4bo2bo46bobo3bo2b2o3bob
2o50b2o7bo3bo$33bo2bo3bo3bo41b3o4bo4bo3bobo60bob3o$32b2obo5b2ob2o47b2o
b3o2b3o59bo4b2o$32bobo6b2ob2o42bobo5bo2bob2o6bo48b3o2b2obobo$32bo11bo
2bo49b3o7b2obo52b2o$34bo9bo3bo48b2o4bo2bobo50bob2o3b2o$32bobo10bob2ob
o45b2o2bo5bo4bo47bo2b2ob2o2bo$31b2obo6b2o3bo2bo46bo5b2o3b2o2b2o50bo2b
2ob3o$32bob2o4bo2bo5b2obo49b2obobo2bo48bobo3bobo3b3o$33bo2bo3bo11bo52b
3ob3o56bo3bobo$34bo5b2o60bo4bo2bobo55b2o3b2o$33bo5b2o11b2o47bo8bo3b2o
bo52bobo6b3o$33bo3b3o12bobo44b2o7bobo3bo2b3o50bob3o3bo$35bobobo61bo5b
o3bob2o2b3o50b2o3bo2bob2o$36bo15bo50b6o2bobo3b2o53bo2bo3b3o$37b2o13bo
3bo48bo6bo61b2o$37b2o14bo3b2o45bo6b2o60b2o2bo$38b2o13b2ob3o45bo4bo4b2o
61bo$42b2o16bo46b2obo3b3obo53bo3bo$40b5o8b2o4bo46bo3b2o2b2obo3b2o4bo43b
o$40b2o4b3o4b2o4b2o46bo2bo4bo2b2o4b2obo43bo4bo$46b3o2b2o8b2o45b2o4b2o
4bo2bo48b4o$52bobob6obo51bo5bo2b2o$49bo2bobo4bob3o61bo$49bo3bo2b4o2b2o
52b2o4bo2bo$49bob2obob2o10b2o46b2o4bo2bo$50bob2ob2o6bo3b2o46bo2bo2bo4b
2o$50bo2bo10bo3bo52b3o2bob2o$53bo3b2o4b3ob2o48b2o3bobo2b3o$52b5o2bo6b
3o47bo11bo$53b2o4bo9bo46b3o5b3obo3bobo$32bo25bo9b2o3b2o42b2o4bo2bobo2b
2ob2o$31bobo21bo2bo2b2o5b2o3bo49b2o7bo3bo$30bo2bo27bo7b5o59bob3o$29b2o
bo27b2o5b2ob2o59bo4b2o$29b2o26b2o3bo4bobo7bo48b3o2b2obobo$26bo2b2o26b
o5bo3bo3bo3b2obo52b2o$25b2o31b2o4bo6bo2bobo50bob2o3b2o$25bo34b2o2bo3b
o5bo4bo47bo2b2ob2o2bo$23b2o2bo34b3o5b2o3b2o2b2o50bo2b2ob3o$23b2o45b2o
bobo2bo48bobo3bobo3b3o$64b3o6b3ob3o56bo3bobo$20b4o2bo43bo4bo2bobo55b2o
3b2o$20b6o43bo8bo3b2obo52bobo6b3o$20b4o43b2o7bobo3bo2b3o50bob3o3bo$69b
o5bo3bob2o2b3o50b2o3bo2bob2o$16b2o53b6o2bobo3b2o53bo2bo3b3o$15bo2bo54b
o6bo61b2o$15bo2bobo51bo6b2o60b2o2bo$14bo6bo50bo4bo4b2o61bo$18bo2bo53b
2obo3b3obo53bo3bo$11b3ob2obo2b2o51bo3b2o2b2obo3b2o4bo43bo$11bo2bo2bo3b
obo51bo2bo4bo2b2o4b2obo43bo4bo$13b2o6b4o51b2o4b2o4bo2bo48b4o$8b3o11bo
2bo57bo5bo2b2o$8bo2bo11bo8bo2bo57bo$6bo16b2o6b2ob2o48b2o4bo2bo$5bob3o
bo13bo9bo48b2o4bo2bo$4b2o2b3o15bo2b3ob2o48bo2bo2bo4b2o$26bo2bo4bo54b3o
2bob2o$5bo20bo4b2ob2o49b2o3bobo2b3o$2b3o25bob2o50bo11bo$b4o25b4o50b3o
5b3obo3bobo$o23b3o2b3obo4bo46b2o4bo2bobo2b2ob2o$obo20bobo3bo2b2o3bob2o
50b2o7bo3bo$bo20b3o4bo4bo3bobo60bob3o$29b2ob3o2b3o59bo4b2o$24bobo5bo2b
ob2o6bo48b3o2b2obobo$33b3o7b2obo52b2o$33b2o4bo2bobo50bob2o3b2o$32b2o2b
o5bo4bo47bo2b2ob2o2bo$32bo5b2o3b2o2b2o50bo2b2ob3o$38b2obobo2bo48bobo3b
obo3b3o$41b3ob3o56bo3bobo$38bo4bo2bobo55b2o3b2o$37bo8bo3b2obo52bobo6b
3o$35b2o7bobo3bo2b3o50bob3o3bo$37bo5bo3bob2o2b3o50b2o3bo2bob2o$39b6o2b
obo3b2o53bo2bo3b3o$41bo6bo61b2o$40bo6b2o60b2o2bo$40bo4bo4b2o61bo$43b2o
bo3b3obo53bo3bo$42bo3b2o2b2obo3b2o4bo43bo$43bo2bo4bo2b2o4b2obo43bo4bo
$44b2o4b2o4bo2bo48b4o$51bo5bo2b2o$61bo$52b2o4bo2bo$52b2o4bo2bo$51bo2b
o2bo4b2o$57b3o2bob2o$53b2o3bobo2b3o$52bo11bo$52b3o5b3obo3bobo$53b2o4b
o2bobo2b2ob2o$59b2o7bo3bo$69bob3o$67bo4b2o$62b3o2b2obobo$67b2o$63bob2o
3b2o$63bo2b2ob2o2bo$67bo2b2ob3o$63bobo3bobo3b3o$72bo3bobo$72b2o3b2o$74b
obo6b3o$74bob3o3bo$74b2o3bo2bob2o$76bo2bo3b3o$78b2o$77b2o2bo$81bo$76b
o3bo$75bo$75bo4bo$76b4o!

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get_Snacked
Posts: 542
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Re: Spaceship Discussion Thread

Post by get_Snacked » November 22nd, 2024, 12:04 pm

LuveelVoom posted on Discord that a spider half could be attached to another:

Code: Select all

x = 57, y = 51, rule = B3/S23
11bo3b3o6b2o5b2o5b2o5b2o$8b2ob5ob2o3bo3bo3bo2bo3bo2bo3bo3bo$6bob2obo5b
obo2bo3bobob3o5b3obobo3bo$5bo3bobo3b5o2bo5b2o2b3ob3o2b2o5bo$9b3o5b2o3b
2ob3o15b3ob2o$6bo2bob3o8bo25bo$8bo14bo3bo15bo3bo$24bo2bo15bo2bo35$9b2o
$b4obobobo8bo3b3o6b2o5b2o5b2o5b2o$3obobob2obo4b2ob5ob2o3bo3bo3bo2bo3b
o2bo3bo3bo$o3bobo7bob2obo5bobo2bo3bobob3o5b3obobo3bo$bob3o5b2o4bobo3b
5o2bo5b2o2b3ob3o2b2o5bo$b2o14b3o5b2o3b2ob3o15b3ob2o$b5o8bo2bob3o8bo25b
o$4b2o10bo14bo3bo15bo3bo$32bo2bo15bo2bo!
this should have already been discovered, but i can't find anything from searching on the forums or on Discord.

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83bismuth38
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Re: Spaceship Discussion Thread

Post by 83bismuth38 » November 22nd, 2024, 9:30 pm

c/3 spaceship that has at most 5 cells per row (columns are parellel to the direction of travel, rows are perpendicular)

Code: Select all

x = 15, y = 25, rule = B3/S23
7bo$6b4o$5bo3b2ob2o$5bo3bo2b2o$3bo7bo2bo$3bo$5bob2o$7b2o$6bobo$4b2o$5b
3o$5bo2b2o$7b2o$6bobo2$6b2o$5bobo$5bo2b2o2$9bo$7bobo$b2o4b2o$b2ob2o$o
3b2o$4b2o!
c/2 wave that fits under 3 cells per column

Code: Select all

x = 65, y = 45, rule = B3/S23
61bo$60b3o$58b2ob3o$58bo4b2o$60bo2bo$57b2obo2$54b3o$48bo5bo$47b3o$45b
2ob3o2b2o$45bo4b2o$47bo2bo2bo$44b2obo4bo2$41b3o$35bo5bo$34b3o$32b2ob3o
2b2o$32bo4b2o$34bo2bo2bo$31b2obo4bo2$28b3o$22bo5bo$21b3o$19b2ob3o2b2o$
19bo4b2o$21bo2bo2bo$18b2obo4bo2$15b3o$9bo5bo$8b3o$6b2ob3o2b2o$6bo4b2o$
8bo2bo2bo$5b2obo4bo2$2b3o$2bo2$b2o$o$bo!
WLS has a feature to limit the amount of cells per column, and i've been messing around with it a little bit.
c/2s can fit under 4 cells per column. not sure about per row, but it seems to be more than 10.
There are LOTS of c/3s that fit under 2 cells per column! i'm fairly certain (79%, i think :P) that there's a c/3 that fits under 4 cells per row.
c/4 may be possible to fit under 2 cells per column, there's partials but they don't get far on WLS. i haven't tried searching by row for c/4.
c/5 i briefly tried fitting under 2 cells per column, might be possible. i don't know anything beyond c/5.
: )
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!

Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » November 22nd, 2024, 9:46 pm

get_Snacked wrote:
November 22nd, 2024, 12:04 pm
LuveelVoom posted on Discord that a spider half could be attached to another...

this should have already been discovered, but i can't find anything from searching on the forums or on Discord.
For this sort of thing, you should look in the moving objects collection. It's a fairly comprehensive collection of elementary-based moving objects in Life. For this result specifically, see velocity-c5o/spider-tagalongs.rle.
-Matthias Merzenich

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hotcrystal0
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Re: Spaceship Discussion Thread

Post by hotcrystal0 » November 23rd, 2024, 6:32 pm

X66 “tagalong”, by C_R_116:

Code: Select all

x = 24, y = 10, rule = B3/S23
b3o3b3o4b3o3b3o$bo2bobo2bo3bo2bo3bo2bo$o3bobo3bo2bo3bobo3bo$2bobobobo
5b2o5b2o$2bo5bo4b2o7b2o$2b2o3b2o5b3o3b3o$3b2ob2o3b2ob3o3b3o$3b2ob2o4bo
$2bo5bobo5bo3bo$11bo4bo3bo!
wherever I go on the internet I bring with myself nothing but problems.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

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Game of Life Fun
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Re: Spaceship Discussion Thread

Post by Game of Life Fun » December 2nd, 2024, 5:37 pm

Game of Life Fun wrote:
October 5th, 2022, 6:14 am

better bounding box of pseudo p14 rake:

Code: Select all

x = 75, y = 115, rule = B3/S23
15bo5bo$14b3o3b3o$5b3o5b2o2bobo2b2o5b3o$5bo2bo6b3ob3o6bo2bo$5bo25bo$5b
o6bo11bo6bo$6bobo2bobo9bobo2bobo$13b2o7b2o$12bo11bo2$32b3o$31bo2bo$10b
o15bo7bo$9bobo13bobo2bo3bo$8b3o3b3o3b3o3b3obo3bo$9bo3b4o3b4o3bo6bo$10b
4o9b4o4bobo$12bo11bo3$15b2o3b2o$15b2o3b2o14b3o$9b3o23bo2bo$8bo2bo26bo$
11bo22bo3bo$7bo3bo26bo$11bo14bo4bo3bobo$8bobo14b2o3bobo$20b2o3bob3o$
20b2o4b2o2bo$14b3o10b4o16b3o3b3o$13bo2bo11bo10bo6bo2bo3bo2bo6bo$16bo
21b3o5bo3bobo3bo5b3o$12bo3bo20b2obo4b2o3bobo3b2o4bob2o$16bo20b3o5b2o3b
obo3b2o5b3o$13bobo22b2o5b2o3bobo3b2o5b2o$45b2obobobobob2o$45b5o3b5o$
45bob2o5b2obo$45b2o9b2o8bo$11bo5bo47b3o$10b3o3b3o46bob2o$b3o5bo2b2ob2o
2bo5b3o38b3o$o2bo5bobobobobobo5bo2bo33bo3b3o$3bo6bo2bobo2bo6bo34b2o4b
3o$3bo6bo2bobo2bo6bo16bo16bob2o3b2o$obo8b3ob3o8bobo13bo5b2o3b2o6bo$9bo
b2o3b2obo28b2o3b2o5bo$10b2o5b2o14bobo8bo13bobo$34b2o8bo13bo$11bobobobo
10b3o3bo35bo$11bo5bo10bo2bo11bo25b3o$6bobo11bobo5bo13b3o3b2o3b2o14bob
2o$7bo3bobobobo3bo6bo3bo9bob2o2b2o3b2o15b3o$11bo5bo10bo3bo10b3o24b3o$
28bo14b3o24b2o$29bobo11b2o14bo$58b2o$57bobobo$23b3o22bo9bo$47b3o3b2o6b
2o$11b2o3b2o8b2o4b3o12bob2o2b2o7bo5bo$5b3o3b2o3b2o4bo4bo4bo2bo12b3o9bo
bo4b3o$5bo2bo18bo4bo15b3o10bo4b2obo$5bo17bo2bo5bo3bo11b2o16b3o$5bo3bo
14bo7bo34b2o$5bo27bobo$6bobo7b2o39b3o$16b2o38bo2bo$40bobo16bo$10b3o28b
2o12bo3bo$10bo2bo27bo13bo3bo$10bo19b3o26bo$10bo3bo14bo2bo23bobo$10bo
21bo$11bobo18bo37b3o$29bobo38bo2bo$26bo43bo$27b2o35bo5bo3bo$26b2o36bob
o3bo$36b3o25b2o5bobo$19b3o13bo2bo$19bo2bo15bo$19bo14bo3bo$19bo3bo10bo
3bo$19bo3bo14bo$19bo15bobo$20bobo$26bo$27bob3o$25b2o20bobo$25bo4b2o16b
2o$31bo16bo$32bo$30b2o$30bo3$36b3o$38bo18bo$37bo19bobo$57b2o4$43b3o$
45bo$44bo4$54bobo$50b3o2b2o$52bo2bo$51bo!
Reduced:

Code: Select all

x = 63, y = 94, rule = B3/S23
22b3o4b3o$21bo2bo4bo2bo$21bo3bo3bo$22b2o5bo3bo$21b2o6bo3bo$22b3o4bo$
22b3o5bobo2$24bo$24bo2b3o$26bo2bo$24b4o3bo$24b2ob2o2bo$24b3o$28bo2bo$
28bobo$20bo6b3o$19b3o5b2o15bo6bo$19bob2o3bobo14b3o4b3o$20b3o4bo14bo2b
2o2b2obo$20b3o2bo16bob2o3b3o$20b2o22bo4b3o$42bo2bo3b3o$45bo4b2o$24bobo
16bobo$17b3o5b2ob2o15bo$16bo2bo7bo6b3o12bo$19bo13bo2bo9bob3o$15bo3bo7b
3o6bo8bo4b2o$19bo16bo8bo5bo$16bobo11b2obobo8bo4bo$26bo4bo13bobobo$31bo
14bobobo$27bo2bo20bo$2bo5bo19bo11b3o$b3o3b3o30bo2bo3bo2bo$2obo3bob2o4b
o6b3o15bo6bo$3o5b3o3b3o4bo2bo15bo3bo2bobo$b2o5b3o2b2o2bo6bo15bo7b2o$8b
3o3bo5bo3bo16bobo$8b3obob5obo3bo$8b2o2b2o3bo6bo$21bobo15bo$38b3o8b2o5b
o$12bo25bob2o6bo2bo3b3o$4bo6bobo4b3o18b3o7b2o4bob2o$3b3o5b2o4bo2bo18b
3o7bo6b3o$3bob2o4b2o7bo18b2o15b2o$4b3o9bo3bo11bobo$4b3o2bo6bo3bo12b2o$
4b3obobo9bo12bo$4b2o2bobo6bobo$9bo46bo$13bo41b3o$12bobo39b2obo$b3o7bo
2bo39b3o$bo2bo7b2o41b2o$bo16b3o$bo3bo11bo2bo24b3o$bo3bo14bo23bo2bo4b2o
$bo18bo26bo3bo2bo$2bobo4bobo5bobo23bo3bo4b2o$8b2obo3bo27bo3bo3b3o$8bo
6b2o30bo$9b3o4bo27bobo$9b2o2bobo$58b3o$58bo2bo$58bo$39bobo16bo3bo$21b
3o16b2o16bo$23bo16bo18bobo$22bo5$28b3o$30bo18bo$29bo19bobo$49b2o4$35b
3o$37bo$36bo4$46bobo$42b3o2b2o$44bo2bo$43bo!
Comparision to jslife:

Code: Select all

x = 203, y = 169, rule = B3/S23
25bo$24b3o$23b2obo$23b3o$23b3o$23b3o3bo$19b3ob3o4b2o$19bo2b4o3bo2bo$
19bo3bo4b2o$19b2obo6bo3bo$19bobo6b2ob2o$18b2o8b2o$19bobo8bo$19b2obo5bo
bo$19bo2bob5o2b2o$22bobobo3b3o$22bo2bo2bobo$23b4o3bo$19b3o4bo4bo$20bob
o3bo$24bobobo2bo$23b2ob2o$24bobo$21b2obobob2o$21b2obobob2o$21bobo3bobo
$10b3o7b2ob2ob2ob2o9b3o$9bo3bo25bo3bo$8b2o4bo23bo4b2o$7bobob2ob2o3b15o
3b2ob2obobo$6b2obo4bob2ob8obob4ob2obo4bob2o$5bo4bo3bo4bo8bo4bo4bo3bo4b
o$17bo17bo$5b2o7b2o21b2o7b2o$23b2o$22b2o$22b2o6b3o$21b3o5bo2bo$20b2ob
2o7bo$20b3o2bo2bo3bo$24b3obo3bo$22bo2bobo3bo$23bo3bo$24bo3b2o$25bo2$
34b3o$33bo2bo$36bo$26b3o3bo3bo$25bo6bo3bo$24bo3bo7bo$23bo3bo5bobo$23bo
2bo$23bo3b2o$24bo4bo$25bo3bo$26b3o11$18bo$17b3o$17bob2o$18b3o$18b3o$
18b2o14bo$32bobo127b3o4b3o$7bo18bo6b2o126bo2bo4bo2bo$6b3o16b3o133bo3bo
3bo$4b2ob3o14b3ob2o132b2o5bo3bo$5bo2bob2o4b2o4b2obo2bo132b2o6bo3bo$2b
2obo4bobob2o2b2obobo4bob2o130b3o4bo$2b2obobo2bobo8bobo2bobob2o130b3o5b
obo$2bo8b3obo2bob3o8bo40b3o$b2o7b2o10b2o7b2o39bo2bo88bo$bo30bo39bo91bo
2b3o$b4o24b4o39bo3bo89bo2bo$2o2b2o22b2o2b2o38bo3bo87b4o3bo$4b3o20b3o
38bo3bo5bo85b2ob2o2bo$5bob2o16b2obo38b3o2bo4b3o84b3o$7bo18bo40bob2o2bo
3bob2o87bo2bo$5bobob2o12b2obobo39b3o6bob2o87bobo$9bo14bo41bo9b2ob2o79b
o6b3o$9bob2o8b2obo41bo10bo81b3o5b2o15bo6bo$11bo10bo44bo2bo8b2o78bob2o
3bobo14b3o4b3o$8bo2bob2o4b2obo2bo42bobo6bo82b3o4bo14bo2b2o2b2obo$7b3ob
ob2o4b2obob3o14bo26bobob2ob2o2b2o79b3o2bo16bob2o3b3o$6b2obo2bobo4bobo
2bob2o11bobo24bo3bobobobob2o80b2o22bo4b3o$5b2o4b2ob2o2b2ob2o4b2o11b2o
24bobobo3bob2o104bo2bo3b3o$6bo20bo40bo2bo4bo108bo4b2o$5b2o20b2o38b3ob
2ob5o85bobo16bobo$3b2obob18obob2o40b2ob6o77b3o5b2ob2o15bo$4bobobob2obo
b9obobobo42bo5b2o76bo2bo7bo6b3o12bo$b2obobo5bo4b5o5bobob2o39bobo84bo
13bo2bo9bob3o$b2o3bo10b5o5bo3b2o39bob2o79bo3bo7b3o6bo8bo4b2o$b3obo11b
5o6bob3o37bobobobo82bo16bo8bo5bo$2o30b2o35b2obobob2o78bobo11b2obobo8bo
4bo$68bo3bobo3bo87bo4bo13bobobo$16b2o3b2o34bo29bo83bo14bobobo$16bo5bo
33b3o9b2ob2ob2ob2o7b3o78bo2bo20bo$16bo5bo31b2ob3o25b3ob2o51bo5bo19bo
11b3o$55bo2bob2o4b13o4b2obo2bo51b3o3b3o30bo2bo3bo2bo$27b3o22b2obo4bobo
b2o4bo8b2obobo4bob2o47b2obo3bob2o4bo6b3o15bo6bo$26bo2bo22b2obobo2bobo
19bobo2bobob2o47b3o5b3o3b3o4bo2bo15bo3bo2bobo$29bo22bo8b3obobobobob5ob
ob3o8bo48b2o5b3o2b2o2bo6bo15bo7b2o$9bo6b2o7bo3bo21b2o7b2o21b2o7b2o54b
3o3bo5bo3bo16bobo$8b3o4b2o8bo3bo118b3obob5obo3bo$8bob2o4bobob2o7bo18bo
24b3o72b2o2b2o3bo6bo$9b3o6bob2o4bobo17bobo18bo5b2o86bobo15bo$9b2o7bobo
26b2o17b3o7b2o100b3o8b2o5bo$19bo45b2obo4bo2b2o74bo25bob2o6bo2bo3b3o$
65b3o4bo3bo67bo6bobo4b3o18b3o7b2o4bob2o$65b3o4bo3bo66b3o5b2o4bo2bo18b
3o7bo6b3o$4b3o59b2o5bobo67bob2o4b2o7bo18b2o15b2o$4bo2bo4b2o60bo69b3o9b
o3bo11bobo$4bo5bo2bo130b3o2bo6bo3bo12b2o$4bo3bobo3bo129b3obobo9bo12bo$
4bo3bo5bo129b2o2bobo6bobo$4bo5bo3bo7bo40bo6bo78bo46bo$5bobo2bo2bo8b2o
38b3o4bobo81bo41b3o$21bobo37b2obo5bob2o78bobo39b2obo$61b3o77b3o7bo2bo
39b3o$61b3o8b2o67bo2bo7b2o41b2o$61b3o77bo16b3o$62b2o77bo3bo11bo2bo24b
3o$29bo111bo3bo14bo23bo2bo4b2o$29b2o110bo18bo26bo3bo2bo$28bobo111bobo
4bobo5bobo23bo3bo4b2o$55bo92b2obo3bo27bo3bo3b3o$53bobo92bo6b2o30bo$54b
2o93b3o4bo27bobo$149b2o2bobo$36bo37b2o122b3o$36b2o36b2o122bo2bo$35bobo
37bo122bo$75b2o102bobo16bo3bo$75b2o84b3o16b2o16bo$68bo4bo2bo86bo16bo
18bobo$66b2o94bo$43bo23b2o5b2o$43b2o27bo2bo$42bobo28b2o4b3o$78bo2bo$
81bo86b3o$77bo3bo88bo18bo$81bo87bo19bobo$50bo27bobo108b2o$50b2o$49bobo
$62bo$60bobo112b3o$61b2o114bo$176bo$57bo$57b2o$56bobo$186bobo$182b3o2b
2o$61bo122bo2bo$59b2o122bo$60b2o!
EDIT:

Pseudo p14 forward rake:

Code: Select all

x = 62, y = 142, rule = B3/S23
23b3o4b3o$23bo2bo2bo2bo$22bo3bo5bo$24bobobo3bo$24bo3bo3bo$24b2o6bo$25b
2o2bobo$25b2o$24bo$28b3o$28bo2bo$25b2o4bo$24b2o5bo$24b3obobo$25b3ob2o$
26b5o$21bo$20b3o22bo6bo$19b2obo5bo15b3o4b3o$19b3o4b2o15b2o2bo3bob2o$
19b3o5b2o15bo2bo4b3o$20b2o22bo7b3o$44b2o2bo3b3o$45bobo4b2o2$18b3o5b3o
16bobo$18bo2bo4bo2bo5b3o8bo3bo$18bo7bo2bo5bo2bo10b3o$18bo3bo4bo7bo12b
2o2bo$18bo9b2o5bo9b3o3b3o$19bobo7bobo4bobo9bo2b2o$33bo15bob2o$45bo6bo$
31b2o13bo4bo$3bo5bo31b3o4b3o$2b3o3b3o29bo2bo$2bob2ob2obo5bo6b3o17bo$3b
3ob3o5b3o5bo2bo12bo3bo3b3o$3b2o2b3o4bo2b2o4bo19bo3b2obo$7b3o8bo4bo3bo
12bobo6b2o$7b3o3b3o4bo2bo3bo$8b2o3bo9bo$12b2o6bo3bobo13bo$12b4o23b3o
15bo$38b2obo8b2o4b3o$5bo7bo5b3o16b3o8bo2bo2b2obo$4b3o5bobo4bo2bo15b3o
8bo2bo2b3o$3b2obo4bo2bo4bo19b2o8bobo4b2o$3b3o6b2o5bo3bo$3b3o13bo3bo10b
o$3b3o3b2o8bo15b2o$4b2o3bobo8bobo11b2o$8b2obo45bo$8b3o45b3o$14bo41bob
2o$2b3o8bobo41b3o$bo2bo7bo2bo41b2o$4bo8b2o4b3o$o3bo14bo2bo23b3o$o3bo
14bo26bo2bo$4bo14bo26bo6b2o$bobo16bobo23bo3bo2bobo$9b2o35bo3bo2b3o$8bo
2bo4b2o28bo6b2o$8b2obo3bobo29bobo3bo$9b2ob2o3bo$11bo47b3o$58bo2bo$61bo
$57bo3bo$23b2o16bo19bo$22bobo17b2o14bobo$24bo16b2o5$30b2o$29bobo$20bo
3bo6bo18bo$19b3ob3o23bo$18b2obobob2o22b3o$17b2o7b2o$18bo7bo$17b2o7b2o
9b2o$15b2obobo3bobob2o6bobo$16bobob2ob2obobobo7bo$13b2obo2bobobobo2bob
2o$13b2obob2obobob2obobobo$13bo2bobo2bobo2bobobob2o$12b2o2bo11bobo3bo$
20b2ob2o19bobobo$16b2o9b2ob2ob2o8bo2b2ob2o$35bo9bob3o$28bo3bo$12b3o19b
2o$11bo3bo13b3o$10b2o4bo$9bobob2ob2o3b3o$8b2obo4bob2ob3ob3obo2bo$7bo4b
o3bo4bobo3b2ob2ob2o8bo$19bo5bo3bobo2bo7bo$7b2o7b2o9bo2bobo9b3o$26b2obo
b2ob2o$26b2obo$29bobo2bo$26b2obobo$12b3o13bobo3b2o$11bo3bo12b3ob4o$10b
2o4bo15b2ob2o$9bobob2ob2o3b3o3bob2o$8b2obo4bob2ob3ob2ob3o2bob2o2bo$7bo
4bo3bo4bobo9b2o4bobo$19bo5bo2bobobobo4b2o$7b2o7b2o10bobobo$23b2ob2obo
2bo$21b2o3b3o3b2o$20bo3bo2bobobobo$11bo7bo9bobo$10b3ob3ob2ob2o4bobo2bo
$9b2o3b3o2b2o7b3o$8b2o5bo3b2o15bo$9bo3b2o20bo$8b2o25b3o$6b2obobo$7bobo
b2o$4b2obobo3bo15b2o$4b2o3bo18b2o$4b3obo3b2o$3b2o2$31b2o$29bo$28bo4b2o
$28b2obobo5$32b2o$33b2o$32bo!
Last edited by Game of Life Fun on December 6th, 2024, 5:43 pm, edited 1 time in total.

Code: Select all

x = 63, y = 51, rule = B026/S1
30bo$10bo$9bo2$7bo36bo$6bo7bo20bo$13bo2$bo11bo$o16bo21bo13bo$46bo$o44b
o4$55bo$18bo$19bo37bo$7bo4bo$6bo28bo2$6bo28bo$36bo25bo$17bo4$48bo8bo3$
6bobo$5bo11bo$53bo7$40bo$41bo2$35bo2$22bo$30bo7bo5bo5$35bo!

User avatar
C_R_116
Posts: 839
Joined: April 15th, 2021, 2:49 pm
Location: At my home doing other random stuff.

Re: Spaceship Discussion Thread

Post by C_R_116 » December 2nd, 2024, 5:58 pm

Orion 2 boatstretcher:

Code: Select all

x = 22, y = 23, rule = B3/S23
bo$2o$obo$10bo$3b2o3bobobo$4b2ob3o2bo$4b2o4b2o$5bob2o5b4o$13bo5bo$3bo
bo6bo6bo$3bo7bo6b3o$3b3o4b3o4bo3bo$4bobo8b3o2b2o$10bo$7b3o5bo$6bo2bo3b
2obo$9bo3b2o$6bobo2b2o$8b2ob2o$9b2o$10bo$10bobo$11b2o!
That tagalong can support another Orion 2 (but it's completely useless because it'll hit the boat).

User avatar
get_Snacked
Posts: 542
Joined: August 20th, 2022, 10:51 pm

Re: Spaceship Discussion Thread

Post by get_Snacked » December 4th, 2024, 1:45 pm

could this partial be completed?:

Code: Select all

x = 5, y = 4, rule = B3/S23
$3o$b3o$2b2o!
[[ PASTET EVERY 4 PASTEDELTA -1 1 PASTE o! 1 5  ]]
[[ PASTET EVERY 4 2 PASTEDELTA -1 1 PASTE o! -2 3 ]]
it can hassle a block as well:

Code: Select all

x = 7, y = 7, rule = B3/S23
5b2o$5b2o$3o$b3o$2b2o2$bo!
[[ PASTET EVERY 4 PASTEDELTA -1 1 PASTE o! 1 6  ]]
[[ PASTET EVERY 4 2 PASTEDELTA -1 1 PASTE o! -2 4 ]]
EDIT: it can be completed with two big gliders.
EDIT II: and the tagalong is known as the glider emulator. TheMoreYouKnow

User avatar
Game of Life Fun
Posts: 255
Joined: December 13th, 2021, 1:19 pm
Contact:

Re: Spaceship Discussion Thread

Post by Game of Life Fun » December 6th, 2024, 5:39 pm

get_Snacked wrote:
December 4th, 2024, 1:45 pm
could this partial be completed?:

Code: Select all

x = 5, y = 4, rule = B3/S23
$3o$b3o$2b2o!
[[ PASTET EVERY 4 PASTEDELTA -1 1 PASTE o! 1 5  ]]
[[ PASTET EVERY 4 2 PASTEDELTA -1 1 PASTE o! -2 3 ]]
it can hassle a block as well:

Code: Select all

x = 7, y = 7, rule = B3/S23
5b2o$5b2o$3o$b3o$2b2o2$bo!
[[ PASTET EVERY 4 PASTEDELTA -1 1 PASTE o! 1 6  ]]
[[ PASTET EVERY 4 2 PASTEDELTA -1 1 PASTE o! -2 4 ]]
EDIT: it can be completed with two big gliders.
EDIT II: and the tagalong is known as the glider emulator. TheMoreYouKnow
This tagalong is known im jslife as ships-c4d-ext.lif

Code: Select all

x = 385, y = 191, rule = B3/S23
217bob3o$215bobo$214b2o2b2o2bo48bo$215b2o2b3o48b2o92b4o$212b3o5b3o47bo
bo47b2o38b2obo5bo6b2o$144b2o65b2o3bo5bobo89b2o4bobo6b3o4bo19b3ob3o6bo
6bobo$74bo69bobo35b3o26bo2b4o7b2o45b3o38b2obo2bo9bo3b4obobo15bo11b3o5b
o$73b2o69bo37bo28bo4b2o53b3o24b3o13b3obob4o8bob2o3b2o3b2obo3bo5bo4bobo
bo4bo3b2o2bo$44b3o26bobo30bo7b2o31bo35bo31bo5b3obo2bo44bobo22bo2b4o2b
2o4bob2o3b3o3bo5b2o4bo2bo2bo3b2obo4b2o3bo2b3o3bobo8bo$44bo9b2o49b2o5b
3obo29bobo30b2o4b2o23b2obo7b3obo49b6o18b3ob4obo4bo2bo2b2o4b5o2bo5bobo
3bo3bo4b5o2b2o5bo3b2o3b2o3b3o$45bo6b3obo18b3o27bobo3b2o33bobo30bobo4bo
6b2o16bob2o4bo7bobo45b7ob2o16b3o2bob4o4bob2o5bo3b2o14b2o5b2o3bo2b2o5bo
3b2o5b2o4bo$47b2o2b2o21b3o33bo35bo4bo27bo8b2o3bo2bo14b2o6b2o2b2o56b2o
2bob2o26bobo3b2o4b2o16bo6bobo17bo5b7o$48bo27bobo23bo5bo4bo23b2o7bo3b2o
30bo5b5o21b5o3b3o4b3o49bo3bobobo20b5o3b2o59b4o$52bo5bo19b3o20b2o4b2o3b
o24bobo3b4o3bobo29b2o5b2o5b3o16b2ob2obo59bo5bo23b2o$48b2o3bo3b2o19b3o
20bobo2b2o29bo3bo32b3o12bo3bo4bob2o13bo2bo4bo7bo49bo3bo$47bobob2o4bobo
21bo4b2o17bo2b2o30b2o4bo3b2o22bo9b2o3bo9bo18bo4bo5bobo3bo$46bo2bo2bob
2obo20bo2bo3b2o17b2o11b2o21bo3bo5bo24bo8b5o2bo5b2o19b2o7b5o2bobo45b2ob
o$47bo3b2o5bo18bo3bo4bo18bob2o6b3obo37bo13b2o4b2o6b2o11bo20bobo5bo4bob
o$34b3o10bo25b2ob2o3bo3b2o16b2o5b2o2b2o28b4o3b2obob2o13bobo4bo6bo3bo8b
o22bo4bo5bo3b3o23b3o20b3o$34bo9b4o24b2o7bo20bobo6bo31b4o3b3o3b2o13bo8b
2o3bo35b3o2b3o4bo4bob2o20bo2b4o2bo$35bo6bo31bob2o2bo21bobo10bo27bo12bo
17bo5b5o2bo35b3o2b2o3b2o4bo23b3ob4obo14bo$37b2o2b2o4bo32bo20bo9b2o3bo
31bo2bobobo2bo15b2o5b2o41bo5bo2b2o2b2o26b3o2bo2bob2o8bobo3bo25b3o$38bo
38bobo21b2o7bobob2o34b2o3bo3bo21bo3bo39bo3b4o5bo33bo2bo7b5o2bobo22b2ob
2o$42bo35bo22b2o7bobo2bob2o31bo2bobo20b2o3bo51bo4bo35b2obo5bo4bobobo
21bo2bo33b3o$38b2o3bo33bo31bo4b2o35bo24b5o2bo42b2o3bo45bo4bo5bo23bob2o
bo33bo$37bobob2o33bobo30b2o38b4ob3o20b2o47b2o49b3o2b3o4bo21bobo3b2o33b
o2b4o$37bobo2bob2o29bo2bo30b2o38b2o2bo2bobo18bo3bo97b3o2b2o3b2o19bo5b
3o35bo5bo$36bo4b2o33bo100bo102bo5bo2b2o18b2ob2o2b2o37bo4bo2bo$36b2o25b
3o10bo98b2o2bo101bo3b4o23b2o48bobo$36b2o25bo9b4o98bo70bobo40bo18bo3b2o
2bo28b3o8b2ob4obo$64bo6bo173bo36b2o3bo19bo4b2ob2o2b3o23bo10b2o2bo$66b
2o2b2o4bo99bobo65b2o2b2obo30b2o22b2o2b3o6bo26bo10bo$67bo110bo2bo61bo2b
2obo2bo53bo3bobo2b2o4bo26bo10bobobo$71bo106b2ob3o58bo2bo3bo55b2obo8bo
4bo24b3o10b2obo$67b2o3bo107bo61bo4bo57bo2bo8b2obob2o27b2o4bobo2b4o$66b
obob2o107bo62bo3b3obobo53bo7b3o30bobo2bobobobo7bo$66bobo2bob2o91b2o11b
o62bo5bob3o61bo9b3o22b2o3bo7bo$65bo4b2o91b2obo78bobobo5b2o58bo2b2o4b3o
24bo9bo$65b2o96b2o78b3o2b2o4bobobo58bo7bo24bo3bo3bob2o3bo$65b2o96bo86b
o6bob2o57bo2bo4b2obo24b2o13b2o$159b3o3b2o82bob2obo9bo56bo2b2ob3o20b2o
6b3ob2o2b2ob2o$159b2o3b2o94bob4o54bobo2bobo3b4o15bobo3bo2bo3bob2ob2o$
158bo3bo88bo10bo2bo2bo55b2o3bo26bo5b2o5bo$48bo108b2obo4bo84bo16bobo20b
ob3o32b2o4bo23b2o6bobo2bo$47bo4bo103bob3o88b2obo35bobo32bo4bobo2b2o27b
o6bo$36bo3bob2o112b3o2bob2o3b2o80bobo15b2ob2o14b2o2b2o2bo28bob2obo2b3o
b2o27b3obo$27bo4bo23bo98bob2o3b2o3b2o81bo17b2o3bo14b2o2b3o29bobo6b2o
27b3o4b2o$22bo131b2o4b4obo2b2o81bobo16b2o13b3o5b3o42bobo20b3o13bo$58bo
95bob2o3bo4b3o2bo55b2o44b2o9b2o3bo5bobo27b3o10bob2o23bo3bobo3bobobo$
153bo6bo5b2o2bo55b2obo23bobo28bo2b4o7b2o25bo2b4o6bo3b2o22bo4b2ob3o2bo$
38b2o114b2o7b2o6bo55bo25bobo28bo4b2o35b5o9bobo28b2o4b2o$23bo13b2o3bo
27b2o27b2o61b2o9b2o52bo2bo23bo33bo5b3obo2bo26bobo13b2o26bob2o$39bob2o
27bobo25b2o64bo2bo5b2o52bo3bo21bo29b2obo7b3obo31bobo7b4o$35bo5b3o26bo
29bo65b2o59bo2bo22bobo28bob2o4bo7bobo29bo8b3o26bobo$18bo15b2o5bo19bo9b
obo28b2o2b2o58b3o4bo81bo28b2o6b2o2b2o34bo5b2o30bo$34bobo6b2o26bo23bo5b
o3b2o61b2o2b4o79b2o30b5o3b3o4b3o27bobo2b3o30b3o$44b3o22b2obobo19b2o10b
obo59bo5b3o51b3o25bob2o28b2ob2obo37bob4ob2o2bo27bobo$21bo14b3o5bo3bo
15b2o3b2o3b2o18bobo8b3obo59bo2bo2bo2b2o48bo31bo27bo2bo4bo7bobo31bob2o
2bo$35b3o7bo2bo15bo2bo6bobo21bo3b2o3bo2bo59bo3bo4b2o48b2o26b2o32bo4bo
11b3o21bo2bo5bo8bo$16bo12bo7bobo6b2ob2o9bo3bo3b4o3b2o20bo3bobo70b3o53b
2o25b2o32b2o13bo2bo23bo2bo5bobo3bobobo$28b5o6b3o7b2o15bo3b3o24bo3b3o3b
2obo70b3o46bobo26bo32bobo13bo3b3o20bo8b2ob3o2bo$28bo2b2o7bobo4bo2bo16b
3ob3o3b2o28bo2b3o62b2o5b2o46bobo27b2o32bo18b2o29b2o4b2o$30b2obo6bo2bo
6bob2o17b4o3bo19bobo4bo4b3obo59bo7b2o46bo63b3o16b2ob2o27bob2o$3bo21b2o
16bobo2b3o18bo4b2o21b4o74bo2bo2b2o29b2o2bo16b2o41b3o17bo19bobo$4bo19b
2o7bobo5b2o4bo12bo10bo25bo2b2ob2o7b3o63bo2bo3bo25b2o4bo18bo39bo19b3o
15bob3o24bobo$3o2bo19bobo6b2o7b2o2bo27bo23bo3bo73bo3bo3bo27b2obo2b3o
12bo43bo18b2o19b2o23bo$4bo12bobo5b3o6b3o6b5o25bobo24bo11b3o63bo3bo2bob
3o25b2o2b2obob2o10b3o41b2obo59b3o$3bo21b2o10b2o19bo12bo29bob3o6bo69b2o
bob3o32bobobo9b4o37bo5bo13bobo44bobo$27bobo9bo6bo23b3o31b2o7bo3bo65b2o
4b3o32bo14bo36b3obo20b3o$30b2o7bo6bo23bo33b2obob2o4b2obo64bo6bobo32bob
o6bo4bo30b3o2b2o2bob4o10bobo3b3o$29b3o5b2o2b2o29b3o32bobobo72bo8bo33bo
5b3o5b5o24bo3b2ob2ob4obo7b2o6bo$18bo12bo6bob3o4b2o25bo30bobobo73bobo
42bo3bo9b3o26bo2bo3bobo12bo2bo4bo$32bo2bo3bo6b3o25b3o113bobo35bo2b5o6b
3o29bo3bobo4b3o6bobo4bo$32bo2b2o5bo2b3o8bo19bo109b2ob2o37bo2b3o11bo28b
o2bo11bo3bo2bo6bo$33b2o2bo38b3o2b2o103b2o2b2ob2o2bo32b2o11b3o41bo2b2ob
ob2o3b5o$36bo41b2o2bo107b3obobobo33bo10bo30b3o12bo7bo4b2obo$20bo14b2o
41b2o2b2obo52b2o51bo2bobo34b3o41b2obo13bobo10bo$35b2obo46bo52bobo59bo
31b2o28b3o13bo13bo2b2o7b2obo$54bo31b2o43b2o5bo53bo5b2obo30bobo27bo15b
3o10b2o4bo7bobo$85b3obo41bobo3b2o2bo50b2o39b2o2b2o25bo9bo5bo10bo3b3o5b
o$85bo45bo11bo49bo38b3o2b2o27b2obo3b2o5b3o9bo4bo4b4o$24bo2bo24bo33b2ob
3o42bo3b2o3b3o49bo2b3o32b2o4bo23bo5bo3bobo5b2o15b2o5b3o$52bo81b2o4b2o
4bo48b4o2b2o34bo24b3obo10bo3bo18b2ob2o$32bo107b7o48b3o4b3obo30bo18b3o
2b2o2bob4o5bo3bo19b2obob2o$49bo91b4o58bobo50bo3b2ob2ob4obo4bo3bo$199b
4o3bo50bo2bo3bobo10bo2bo73bo$38bo169b2o50bo3bobo4b3o4bob2o67b2o2bobo$
35bo6bo158b2o5b2o50bo2bo11b2o72bobobo3b2o$46bo93b6o2bo52b2o70bo7bo67bo
3bo3b2o$140bo3b4o53b3o4bo51b3o12b2o78bobo$141bo6bo4b3o47b2o2b4o50b2obo
48b3o29b3o4bo4bo$146b2o4bo50bo5b3o52bo48bo2b3o26bo6b2ob2o$146b2o7bo48b
o2bo2bo2b2o49b3o47b2ob8o21bo12b2o$148bo56bo3bo4b2o50bo46b3o4bob4o23b2o
5bob3o$147b2o3b3o54b3o54b3o52b2obo2b2o16b3o2bo3bo$147bo10bo57b3o49bo
59bo15bo8b3o2b3o2bo$148bo5b3ob3o49b2o4b3o49b3o45bo8bo3b2obo12bo2bobo3b
2o2b5obo$35bo118bo6bo47bo7bo51b2o44b2o10b2ob2obo16bobo6bo2bo2bob2o$34b
2o26b2o90b8o48bo2bo4b2obo92b2obo10b2o3bo12b4o7b2o5bo2bo$34bobo24b2obo
28bo62b4o53bo2b2ob3o46bo45b3o13b2o14b2o4bob2obobo6b2obo$62bo29b2o28b2o
88bobo2bobo3b4o41b3o58bo6bo14b2ob3obo10bo$37b2o23bo3bo25bobo26b2o93b2o
3bo48bo45bobo12bo2bo2bo13b2ob2o13b3o$37b2o23bo3bo27bo28bo95b2o4bo91b2o
12b4o3bo16bo15bo$28b3o31bo3b2o27bo29b2o28b6o2bo51bo4bobo2b2o43b2ob2o
45b2o9bo6b2o15b2o14b3o$28bo3b2ob2o29b3o23bobob2o26bo30bo3b4o53bob2obo
2b3ob2o42b2obo42bob4o4b3ob2o5bobo12bo18bo$31bob3obo27b2o26bob4o57bo6bo
4b3o45bobo6b2o45b2obo42bo3b2o3bo12bo14bobo15b3o$29b6o2bo16b3o7b2o54bo
2bo2bo34b2o4bo62bobo86bo2b3obo12b2obo13bo17b2o$54bo7bo22b2o8bo22b3o2bo
37b2o7bo46b3o10bob2o39bobo60b3o4bo14bo$24b2o29bo2b4obo21bobo3b3o24bo3b
o2bo37bo53bo2b4o6bo3b2o39bo44b2o2bobob2o6bo2bo16b3o14bo$24bobo3b3o18b
2o4bo27bo3bo5bo22bo5bo37b2o3b3o48b5o9bobo40bo44b2o4bo9bo2bo16bo16b3o$
24bo3bo4bo17bobo4b2o28b2o23b2obobo43bo10bo46bobo13b2o87b2o10b2o2bo16b
3o14bo$27b2o22bo5b2o22b3o8bo19b2o49bo5b3ob3o46bobo7b4o89bobo9b2o21bo$
26bo5bo17b2ob5o23bo7bo23bobob3o49bo6bo47bo8b3o89bo5b2o3b3o21b3o12b2ob
2o$19b2o5bobo18b2o2bobo3bo26bobo23b3o3bo2bobo47b8o47bo5b2o93b2o3bo2bo
2bobo2bobo18bo14b2obo$19bobo4bo20bo8bo23bo3bob2o22bo2bo57b4o49bobo2b3o
93b2o2bo3bo2bo2bo3b4ob2o12b3o2b2o8b2obo$19bo6bo20bo4bo24b5o2bo25bobo
111bob4ob2o2bo92bo4b3o3bob4o3bobo13b2o2bo$22bo3bo22b3o2b2o21bo5bo31b2o
113bob2o2bo96b4o27b2o2b2obo6bobo$16b2o3bo4bo16b2o8bo24bob2o3bo25bobo2b
2o56b3o47bo2bo5bo8bo83b3obo2bob2o2bo5b3o3bo19bo8bo$16bobo2bo3bo17bobo
3b2o3bo25bo3bobo23b2ob5o56bo50bo2bo5bobo3bobobo85b2o6bo2bo3b2o25b2o6bo
$16bo4b3o19bo6bo22b3o4bo3bo19b2o3bob2o2bo59bo51bo8b2ob3o2bo92bob3o4bob
3ob2o17b3obo$19bo26bo26bo6bobo21bobob2o126b2o4b2o94bob2ob2ob2o23bo$18b
obo25b2o26bo4b3o22bo4bob2o124bob2o96b2obo2b2o27b2ob3o$18bobo55b4o27b2o
231b2obo2bo$17bo59b2o29bo126bobo99bo6bo$17b2o89bo126bo102bo2b2o3bobo$
17b2o216b3o99bo10bo$236bobo99b2obo2bo$341b2o$341b3o$325bo$324b2o$324bo
bo2$321bo5b2o$173bo21bo87b2o35b2o5b2o$172b2o20b2o27bo27bo31bobo34bobo$
40b2o55b2o73bobo19bobo25b2o26b2o31bo41b2o$40bobo54bobo122bobo25bobo33b
o30bob2ob2ob2o$40bo56bo29b2o46b2o20b2o87b2o28b5ob3o$43bo83bobo45b2o19b
3o26b2o26b2o31b2o28bo4bobo$37b2o60b3o25bo68bo28b2o26b2o30b2o31b3o2b2o$
37bo2bob2o21bob3o27bo32bo42b2o109b2o33bo3bo$37bob3o2bo17b2obo4b2o19b2o
3b2o3bo28b2o40bo2bo16b2obobo25b2o26b2o29b2o2bo31b2o2bobo$36b2o4bobo17b
o2b6o20bo3bobobo30b2o39b2obo16bo5bo24bo2bo24bo2bo25bo2b3o$34bo2bo24bo
28bobobo2bo30b2o39bo19bo3b2o25b2obo24b2obo25b2o35bobo$31b2obo6bo18b2o
26b2o7b2o29b2o40bo18bo2bo27bo27bo29bobo30b2ob3o3bo$31bo2b6o19b2o6b3o
17b2o3bo2b3o21bo6b2o2bo41bo15bo2bo28bo27bo30bo30b2o$31bo27bob2obobo21b
o3bo2bobo19b2o3b2o2b3o34b2obo2b3o16bo23b2obo6bo17b2obo6bo23bo5bo30bob
2o2b2o$29b2o25b2obo4bo4bo18bo26b2o5b2o38b2o3bob2o16b2obo21bo3bo2b3o18b
o3bo2b3o23b4o2bo31bo$28b2o6b3o17bob4obo24bo2bob2o19bo3bo5bo38bo2bo15b
2o3b2o23bo4bob2o19bo4bob2o24bo2b4o31bo$28bob2obobo19bo2bo2bobo3bo15b2o
bobo6bo17bo4bobo2bo39bo2bo15bobo29bobo25bobo24b2o4bo31bo2bo$25b2obo4bo
4bo16bobo7bo16b2o29bo5bo2bobo38bo18bo4b3o24b3o25b3o23b2o6bo2b2o25b2o2b
o$25bob4obo22bo5b2obo18bobob3o25bobobo65bob2o25b3o25b3o25bo2bo2bo25b2o
bo4bo$24bo2bo2bobo3bo17b2o3b2obo17b3o3bo2bobo20b2o2bobob2o40bo22b4o21b
obo2bo22bobo2bo28bo2bo26bo5bobo2bo$24bobo7bo16b2o7b2o18bo2bo29b3ob2o2b
o40bobo18b2o2bo21b6o22b6o29b3o27bobo$24bo5b2obo17bo3bo24bobo33b2o41b3o
19bo27bob2o24bob2o32b2o24b2o5bo2bobo$23b2o3b2obo19bo4b2o2bo24b2o27bo3b
obo30bo6bo19b3obobo21b2obo24b2obo25b3o4bobo25b2o4b5obo$20b2o7b2o16b2o
4b2o26bobo2b2o25b7o30b2o5bo19bo2b4o22bob3o23bob3o24bo5bobo27bo7b2o$20b
o3bo22bobo2bobo25b2ob5o25bo3bo32bobo3b2obo16bo6bo21bo2bo24bo2bo27bo3bo
30bo4bob3o$20bo4b2o2bo17bo3bo2bo19b2o3bob2o2bo28b4o36bo20bo2bo21bo4bob
o20bo4bobo24bo5b2ob2o28bo4b4o$16b2o4b2o26b3o21bobob2o33b3o37bo21bo23b
2o4bo21b2o4bo25b2o4bo28b2obobo5bo$16bobo2bobo27bo22bo4bob2o21b2o6b2o
39bo2bo11bo6b2o22bobo6bo18bobo6bo22bob4obo26b2o8bo$16bo3bo2bo28b2o23b
2o25bobo3b2o2bo52b2o35b2obo24b2obo26bo3bo27bobob3o$19b3o56bo25bo5b3o
54bobo2b4o26b3o25b3o28bo29b3o3bo2bobo$20bo57bo28bo63b5o25bo27bo30b3o3b
o24bo2bo$21b2o84b2o61bo3bo24bobo2bo22bobo2bo28b4o26bo2b2obo$171bo24b2o
bo4bo19b2obo4bo27bobo29bobob3o$195b2o2b3o22bo2b3o31bo28b2ob6o$194b2o
28bo32b3o29bobo$193b3o26b2o32bo32bobo$192b2o27b2o32bo33bo2bobo$193bo
27bob2o29b2obo30bobobo$184b3o28b2o36bo2bo27b2o9bo$184bo8bo21bo2b3o25bo
6bobo27b2obo4b2obo$185bo2b5o22bob5o23b5o35bob4o$187bo28bo28bo2b2o2b3o
28b2o$188b2o26bo30bobo2b2o29b2o$216bo2bo28bo28bo$219bo21b3obo2bo27b2o
5bobo$215bo25bo2bo3bo27bobo5b2o$215bobo24bob2o2bo32b2o$212b3o32bo25bob
2ob2ob2o$204bo6bo60b5ob3o$203b2o5bo32bo28bo4bobo$203bobo3b2obo29b2obo
28b3o2b2o$207bo34bo26bo5bo3bo$206bo34b2o25b2o4b2o2bobo$206bo2bo31bo26b
obo$242bo29bo3bo$271bo$271bo2bo!
Also works with block:

Code: Select all

x = 28, y = 28, rule = B3/S23
13b3o$13bo2b3o$14bobo$10b2o7bo$10bobo4bo2bo$10bo8b2o$11b2o$11bo2bo5bob
2o$11bo9b2obo$4b2obo5bobo6b2o2bo$4bo3bo5b2obo4b2o3bo$4bo4bo8bo7bo$6b2o
9b4o3bobo$3o5bobo6bob2o3b4o$o10bo6bo3b2obo$3bo5bo13b2o$o2bo6bob2o5bob
3o$bo2bo6b4o5bo2bo$2bo3bo8bo$4bo2bo7b2o$5bo2bo4b2o3bo4bo$7b2o4b2obobo
3bobo$7b2o2b2o2b2obo2bo$8bo2b2o8bo2bo$9b2o2bo8bo3b2o$10bob2o12b2o2$11b
3o!

Code: Select all

x = 63, y = 51, rule = B026/S1
30bo$10bo$9bo2$7bo36bo$6bo7bo20bo$13bo2$bo11bo$o16bo21bo13bo$46bo$o44b
o4$55bo$18bo$19bo37bo$7bo4bo$6bo28bo2$6bo28bo$36bo25bo$17bo4$48bo8bo3$
6bobo$5bo11bo$53bo7$40bo$41bo2$35bo2$22bo$30bo7bo5bo5$35bo!

LWSSONHWSSONLWSS
Posts: 374
Joined: July 20th, 2024, 9:51 am

Re: Spaceship Discussion Thread

Post by LWSSONHWSSONLWSS » December 14th, 2024, 11:18 pm

Okay, going back to page 2, how to finish these partials again?
Please click this okay?
Image

Sokwe
Moderator
Posts: 3367
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » December 14th, 2024, 11:48 pm

LWSSONHWSSONLWSS wrote:
December 14th, 2024, 11:18 pm
Okay, going back to page 2, how to finish these partials again?
You would need to use a program with the ability to extend partial results, such as LLSSS, ikpx2, qfind, or JLS. See the scripts forum for discussion of these programs.

Edit: unrelated record keeping note: the moving objects collection incorrectly claims that the minimal supported 12WSS is 43 cells, but there is a known 42-cell solution:

Code: Select all

x = 13, y = 15, rule = B3/S23
2b6o$2bo5bo$2bo$3bo4bo$9b2o$bo10bo$o$o11bo$12o3$4b2o$3b4o$2b2ob2o$3b2o
!
-Matthias Merzenich

MathAndCode
Posts: 5259
Joined: August 31st, 2020, 5:58 pm

Re: Spaceship Discussion Thread

Post by MathAndCode » January 1st, 2025, 2:21 am

HartmutHolzwart wrote:
January 28th, 2022, 2:55 am
On a different matter. I finally managed to complete a stretcher for the c/4 wick recently mentioned:

Code: Select all

x = 215, y = 175, rule = B3/S23
$47bo113bo$46bobo5b4o93b4o5bobo$45bo6b3ob3o8bo73bo8b3ob3o6bo$28b3o5b2o
6b2obo3bo4bo2bo6bobo71bobo6bo2bo4bo3bob2o6b2o5b3o$29bo5bo2b2ob3obob2o
5bo2bob2o3b2o5b3ob3o53b3ob3o5b2o3b2obo2bo5b2obob3ob2o2bo5bo$4b3o9b3o5b
3o6bo5bobo2b2obob2o3bo2bob2o2bobobo6bo3bob2o45b2obo3bo6bobobo2b2obo2bo
3b2obob2o2bobo5bo6b3o5b3o9b3o$31bo2bo4bo7bobob3o3bo2b3obo7bobo5bobo43b
obo5bobo7bob3o2bo3b3obobo7bo4bo2bo$4bobo9bobo5bobo3b2o2bob5o4b5o11bobo
b2obo3bo7b2o45b2o7bo3bob2obobo11b5o4b5obo2b2o3bobo5bobo9bobo$7bo7bo11b
o2b3o3bo2bob2o4bo2bo15bo2b6o4bo49bo4b6o2bo15bo2bo4b2obo2bo3b3o2bo11bo
7bo$3b4o2b2ob2o2b4o3b4o3bo6bo10b4o7bo8bobo3b2o3b2obo43bob2o3b2o3bobo8b
o7b4o10bo6bo3b4o3b4o2b2ob2o2b4o$3b2o2bo2bobo2bo2b2o3b2o3bo7bo10bo10b2o
18b4ob2o39b2ob4o18b2o10bo10bo7bo3b2o3b2o2bo2bobo2bo2b2o$3b6obobob6o3b
6obobo3b2o12b2o5bo15bo2bob2o5bo4b2o25b2o4bo5b2obo2bo15bo5b2o12b2o3bobo
b6o3b6obobob6o$2bob6o3b7o3b6ob2obo39b3o4bo4bo3bob5o17b5obo3bo4bo4b3o
39bob2ob6o3b7o3b6obo$2bo5bo5bo4bo3bo3bo2b2obo32b3o2bo3b2o5bob2o2b2obob
o2bo15bo2bobob2o2b2obo5b2o3bo2b3o32bob2o2bo3bo3bo4bo5bo5bo$27bo3b2o35b
o5bo9bo2bo33bo2bo9bo5bo35b2o3bo$26b2o2b2o28bo3b4o2b2o19b2o5b2o9b2o5b2o
19b2o2b4o3bo28b2o2b2o$31b2o22b2ob3o3b2o21bo3b2ob3obob2o5b2obob3ob2o3bo
21b2o3b3ob2o22b2o$24b3ob2o3bo21b2ob2o2bo24bobobo5bo13bo5bobobo24bo2b2o
b2o21bo3b2ob3o$24bo7bo19b3o3bo4b4o23bo4b2obo3bo3bo3bob2o4bo23b4o4bo3b
3o19bo7bo$23b2o2b2obo23bo2bo5b2o2bo13bo3b2o2bo2bo2b4o3bo3bo3b4o2bo2bo
2b2o3bo13bo2b2o5bo2bo23bob2o2b2o$23b2o3bo22b2obobob2o7b2o12bob2obo2b3o
5b2o11b2o5b3o2bob2obo12b2o7b2obobob2o22bo3b2o$24bob2o26bob4o21b2obo4bo
9b3o5b3o9bo4bob2o21b4obo26b2obo$24bo3bo20bobo2b5o9bo14b2o39b2o14bo9b5o
2bobo20bo3bo$29bo15bo3b3obobo28b2o37b2o28bobob3o3bo15bo$26bo3bo14bo7b
2o24bobobo15bo2b2ob2o2bo15bobobo24b2o7bo14bo3bo$44bobo2b2o2b2o17bob2ob
o3b2o2bo11b2obo2bobo2bob2o11bo2b2o3bob2obo17b2o2b2o2bobo$29b2obo15b3o
20b2o2bob2o3b2obo11b2o2bo5bo2b2o11bob2o3b2obo2b2o20b3o15bob2o$32bo15b
2o21b4o2bo4b2obo12bo2bo5bo2bo12bob2o4bo2b4o21b2o15bo$50bo21bo2bo3b2o
17bob2ob3ob2obo17b2o3bo2bo21bo$31b3o15bo2bo16bo10bo18b3ob3ob3o18bo10bo
16bo2bo15b3o$30b4o16bobo16bo3b4obobo19bobobobobo19bobob4o3bo16bobo16b
4o$30b4o18bo16bo3b2o4bo19b2obobobob2o19bo4b2o3bo16bo18b4o$49b2ob2o15bo
2b2o24bo4bobo4bo24b2o2bo15b2ob2o$28bo19bob2o15b2ob3obo23bobobobobobobo
23bob3ob2o15b2obo19bo$27b3o19b2o15bobobo3b2o23bo3bobo3bo23b2o3bobobo
15b2o19b3o$30bo12b3o4b2obo12bo4b2obo22b2obo7bob2o22bob2o4bo12bob2o4b3o
12bo$27b4o19bo2bo18bobo22b5o5b5o22bobo18bo2bo19b4o$28bo14bo2bo6bo15b2o
3bo22b5o5b5o22bo3b2o15bo6bo2bo14bo$45bo2b3o18bo4bo23bob2ob3ob2obo23bo
4bo18b3o2bo$27bob4o11b5obobo12b2obo28bobobo5bobobo28bob2o12bobob5o11b
4obo$33bo16b3o12bobob2o2bo22bo15bo22bo2b2obobo12b3o16bo$27bobobobo14b
2ob2o13b2o4b3o23b4o5b4o23b3o4b2o13b2ob2o14bobobobo$28b3o2bo18b2o11bo6b
3o22bo3bo2bo2bo3bo22b3o6bo11b2o18bo2b3o$31b3o31bo4bo31bobobo31bo4bo31b
3o$30bobo19b2o13b2ob2o25b2o2b2obob2o2b2o25b2ob2o13b2o19bobo$27b2o2b3o
35bobo29b2o3b2o29bobo35b3o2b2o$27b2o2bobo17b3o11b2o35b2ob2o35b2o11b3o
17bobo2b2o$34bo14bob2o11b4o73b4o11b2obo14bo$31bo2bo12bob2o13bob2o36bo
36b2obo13b2obo12bo2bo$63bobo35b3ob3o35bobo$28bo2bo11b3o3bo14b2o37b3o
37b2o14bo3b3o11bo2bo$27bobob2o16bo15bo36b5o36bo15bo16b2obobo$26bo16bo
2bob2o15b2o35bo3bo35b2o15b2obo2bo16bo$29bo15bo3bo14bobo34bo5bo34bobo
14bo3bo15bo$27b2o18bob3o50bo3bo50b3obo18b2o$29bo2b3o15b2o11bo37b2obob
2o37bo11b2o15b3o2bo$29bo3bo17bo12b3o34b2o3b2o34b3o12bo17bo3bo$27b2ob2o
18bo15b2obo32b2ob2o32bob2o15bo18b2ob2o$49b3o18bo67bo18b3o$51b2o17b2o
32bo32b2o17b2o$27b3o20b3o16b3o29b3ob3o29b3o16b3o20b3o$27b3o22bo16bo33b
3o33bo16bo22b3o$31bo18bob2o15bo32b5o32bo15b2obo18bo$29b3o20bo17b2o30bo
3bo30b2o17bo20b3o$31b2o19b2o15bo31bo5bo31bo15b2o19b2o$30bo38bo32bo3bo
32bo38bo$33bo17bo49b2obob2o49bo17bo$31b2o19bo15b3o30b2o3b2o30b3o15bo
19b2o$33bo18bo17b3o29b2ob2o29b3o17bo18bo$33bo33b4obo63bob4o33bo$32bo
34b3o34bo34b3o34bo$30bob2o38b3o26b3ob3o26b3o38b2obo$30bo2bo34bo2b3o29b
3o29b3o2bo34bo2bo$30bo38b4o29b5o29b4o38bo$34b2o35b2o29bo3bo29b2o35b2o$
29bo3b3o65bo5bo65b3o3bo$28b2ob2obo37bo29bo3bo29bo37bob2ob2o$28b2o43b2o
26b2obob2o26b2o43b2o$29b2o41b3o26b2o3b2o26b3o41b2o$29b2ob2o39bo28b2ob
2o28bo39b2ob2o$30bo3bo37bo63bo37bo3bo$28bo5bo36b2o31bo31b2o36bo5bo$28b
o5bo66b3ob3o66bo5bo$30bobo2bo35bo31b3o31bo35bo2bobo$30bo41b2o28b5o28b
2o41bo$30b2o70bo3bo70b2o$33b2o66bo5bo66b2o$33bo68bo3bo68bo$101b2obob2o
$29b3o69b2o3b2o69b3o$28bo73b2ob2o73bo$29b2o147b2o$104bo$101b3ob3o$103b
3o$102b5o$102bo3bo$101bo5bo$102bo3bo$101b2obob2o$101b2o3b2o$102b2ob2o
2$104bo$101b3ob3o$103b3o$102b5o$102bo3bo$101bo5bo$102bo3bo$101b2obob2o
$101b2o3b2o$102b2ob2o2$104bo$101b3ob3o$103b3o$102b5o$102bo3bo$101bo5bo
$102bo3bo$101b2obob2o$101b2o3b2o$102b2ob2o2$104bo$101b3ob3o$103b3o$
102b5o$102bo3bo$94bo6bo5bo6bo$93b3o6bo3bo6b3o$93b3o5b2obob2o5b3o$101b
2o3b2o$95b3o4b2ob2o4b3o$98bo11bo$98b3o3bo3b3o$94bo3bobo2bobo2bobo3bo$
94bo2bo2b2obobob2o2bo2bo$93bobob2obobo3bobob2obobo$94bob2ob2o3bo3b2ob
2obo$100bo2b3o2bo$97bo2bobo3bobo2bo$96bo3bob2ob2obo3bo$96bob3o3bo3b3ob
o$99bo9bo$95b3o13b3o$100b2ob3ob2o$100b2obobob2o$99b2o7b2o$99bo2b2ob2o
2bo$99bobobobobobo$98b2o3bobo3b2o$98bo3bo3bo3bo$97bobo2b2ob2o2bobo$98b
o11bo$100bo7bo$98bobo7bobo$98bobo7bobo2$98bo11bo$96b3o11b3o$95bo4b2ob
3ob2o4bo$95b2o4bobobobo4b2o$99bo3bobo3bo$96bo3bo7bo3bo$95bobo3bo5bo3bo
bo$95bo3b3o5b3o3bo$102b2ob2o$101bo5bo!
The solution is in no way optimzed, but it shows quite well how the branching approach works.
The twenty outermost columns on each side are unecessary.

Code: Select all

x = 163, y = 170, rule = B3/S23
24bo113bo$23bobo5b4o93b4o5bobo$22bo6b3ob3o8bo73bo8b3ob3o6bo$5b3o5b2o6b
2obo3bo4bo2bo6bobo71bobo6bo2bo4bo3bob2o6b2o5b3o$6bo5bo2b2ob3obob2o5bo
2bob2o3b2o5b3ob3o53b3ob3o5b2o3b2obo2bo5b2obob3ob2o2bo5bo$b3o6bo5bobo2b
2obob2o3bo2bob2o2bobobo6bo3bob2o45b2obo3bo6bobobo2b2obo2bo3b2obob2o2b
obo5bo6b3o$8bo2bo4bo7bobob3o3bo2b3obo7bobo5bobo43bobo5bobo7bob3o2bo3b
3obobo7bo4bo2bo$bobo3b2o2bob5o4b5o11bobob2obo3bo7b2o45b2o7bo3bob2obob
o11b5o4b5obo2b2o3bobo$4bo2b3o3bo2bob2o4bo2bo15bo2b6o4bo49bo4b6o2bo15b
o2bo4b2obo2bo3b3o2bo$4o3bo6bo10b4o7bo8bobo3b2o3b2obo43bob2o3b2o3bobo8b
o7b4o10bo6bo3b4o$2o3bo7bo10bo10b2o18b4ob2o39b2ob4o18b2o10bo10bo7bo3b2o
$6obobo3b2o12b2o5bo15bo2bob2o5bo4b2o25b2o4bo5b2obo2bo15bo5b2o12b2o3bo
bob6o$6ob2obo39b3o4bo4bo3bob5o17b5obo3bo4bo4b3o39bob2ob6o$o3bo2b2obo32b
3o2bo3b2o5bob2o2b2obobo2bo15bo2bobob2o2b2obo5b2o3bo2b3o32bob2o2bo3bo$
4bo3b2o35bo5bo9bo2bo33bo2bo9bo5bo35b2o3bo$3b2o2b2o28bo3b4o2b2o19b2o5b
2o9b2o5b2o19b2o2b4o3bo28b2o2b2o$8b2o22b2ob3o3b2o21bo3b2ob3obob2o5b2ob
ob3ob2o3bo21b2o3b3ob2o22b2o$b3ob2o3bo21b2ob2o2bo24bobobo5bo13bo5bobob
o24bo2b2ob2o21bo3b2ob3o$bo7bo19b3o3bo4b4o23bo4b2obo3bo3bo3bob2o4bo23b
4o4bo3b3o19bo7bo$2o2b2obo23bo2bo5b2o2bo13bo3b2o2bo2bo2b4o3bo3bo3b4o2b
o2bo2b2o3bo13bo2b2o5bo2bo23bob2o2b2o$2o3bo22b2obobob2o7b2o12bob2obo2b
3o5b2o11b2o5b3o2bob2obo12b2o7b2obobob2o22bo3b2o$bob2o26bob4o21b2obo4b
o9b3o5b3o9bo4bob2o21b4obo26b2obo$bo3bo20bobo2b5o9bo14b2o39b2o14bo9b5o
2bobo20bo3bo$6bo15bo3b3obobo28b2o37b2o28bobob3o3bo15bo$3bo3bo14bo7b2o
24bobobo15bo2b2ob2o2bo15bobobo24b2o7bo14bo3bo$21bobo2b2o2b2o17bob2obo
3b2o2bo11b2obo2bobo2bob2o11bo2b2o3bob2obo17b2o2b2o2bobo$6b2obo15b3o20b
2o2bob2o3b2obo11b2o2bo5bo2b2o11bob2o3b2obo2b2o20b3o15bob2o$9bo15b2o21b
4o2bo4b2obo12bo2bo5bo2bo12bob2o4bo2b4o21b2o15bo$27bo21bo2bo3b2o17bob2o
b3ob2obo17b2o3bo2bo21bo$8b3o15bo2bo16bo10bo18b3ob3ob3o18bo10bo16bo2bo
15b3o$7b4o16bobo16bo3b4obobo19bobobobobo19bobob4o3bo16bobo16b4o$7b4o18b
o16bo3b2o4bo19b2obobobob2o19bo4b2o3bo16bo18b4o$26b2ob2o15bo2b2o24bo4b
obo4bo24b2o2bo15b2ob2o$5bo19bob2o15b2ob3obo23bobobobobobobo23bob3ob2o
15b2obo19bo$4b3o19b2o15bobobo3b2o23bo3bobo3bo23b2o3bobobo15b2o19b3o$7b
o12b3o4b2obo12bo4b2obo22b2obo7bob2o22bob2o4bo12bob2o4b3o12bo$4b4o19bo
2bo18bobo22b5o5b5o22bobo18bo2bo19b4o$5bo14bo2bo6bo15b2o3bo22b5o5b5o22b
o3b2o15bo6bo2bo14bo$22bo2b3o18bo4bo23bob2ob3ob2obo23bo4bo18b3o2bo$4bo
b4o11b5obobo12b2obo28bobobo5bobobo28bob2o12bobob5o11b4obo$10bo16b3o12b
obob2o2bo22bo15bo22bo2b2obobo12b3o16bo$4bobobobo14b2ob2o13b2o4b3o23b4o
5b4o23b3o4b2o13b2ob2o14bobobobo$5b3o2bo18b2o11bo6b3o22bo3bo2bo2bo3bo22b
3o6bo11b2o18bo2b3o$8b3o31bo4bo31bobobo31bo4bo31b3o$7bobo19b2o13b2ob2o
25b2o2b2obob2o2b2o25b2ob2o13b2o19bobo$4b2o2b3o35bobo29b2o3b2o29bobo35b
3o2b2o$4b2o2bobo17b3o11b2o35b2ob2o35b2o11b3o17bobo2b2o$11bo14bob2o11b
4o73b4o11b2obo14bo$8bo2bo12bob2o13bob2o36bo36b2obo13b2obo12bo2bo$40bo
bo35b3ob3o35bobo$5bo2bo11b3o3bo14b2o37b3o37b2o14bo3b3o11bo2bo$4bobob2o
16bo15bo36b5o36bo15bo16b2obobo$3bo16bo2bob2o15b2o35bo3bo35b2o15b2obo2b
o16bo$6bo15bo3bo14bobo34bo5bo34bobo14bo3bo15bo$4b2o18bob3o50bo3bo50b3o
bo18b2o$6bo2b3o15b2o11bo37b2obob2o37bo11b2o15b3o2bo$6bo3bo17bo12b3o34b
2o3b2o34b3o12bo17bo3bo$4b2ob2o18bo15b2obo32b2ob2o32bob2o15bo18b2ob2o$
26b3o18bo67bo18b3o$28b2o17b2o32bo32b2o17b2o$4b3o20b3o16b3o29b3ob3o29b
3o16b3o20b3o$4b3o22bo16bo33b3o33bo16bo22b3o$8bo18bob2o15bo32b5o32bo15b
2obo18bo$6b3o20bo17b2o30bo3bo30b2o17bo20b3o$8b2o19b2o15bo31bo5bo31bo15b
2o19b2o$7bo38bo32bo3bo32bo38bo$10bo17bo49b2obob2o49bo17bo$8b2o19bo15b
3o30b2o3b2o30b3o15bo19b2o$10bo18bo17b3o29b2ob2o29b3o17bo18bo$10bo33b4o
bo63bob4o33bo$9bo34b3o34bo34b3o34bo$7bob2o38b3o26b3ob3o26b3o38b2obo$7b
o2bo34bo2b3o29b3o29b3o2bo34bo2bo$7bo38b4o29b5o29b4o38bo$11b2o35b2o29b
o3bo29b2o35b2o$6bo3b3o65bo5bo65b3o3bo$5b2ob2obo37bo29bo3bo29bo37bob2o
b2o$5b2o43b2o26b2obob2o26b2o43b2o$6b2o41b3o26b2o3b2o26b3o41b2o$6b2ob2o
39bo28b2ob2o28bo39b2ob2o$7bo3bo37bo63bo37bo3bo$5bo5bo36b2o31bo31b2o36b
o5bo$5bo5bo66b3ob3o66bo5bo$7bobo2bo35bo31b3o31bo35bo2bobo$7bo41b2o28b
5o28b2o41bo$7b2o70bo3bo70b2o$10b2o66bo5bo66b2o$10bo68bo3bo68bo$78b2ob
ob2o$6b3o69b2o3b2o69b3o$5bo73b2ob2o73bo$6b2o147b2o$81bo$78b3ob3o$80b3o
$79b5o$79bo3bo$78bo5bo$79bo3bo$78b2obob2o$78b2o3b2o$79b2ob2o2$81bo$78b
3ob3o$80b3o$79b5o$79bo3bo$78bo5bo$79bo3bo$78b2obob2o$78b2o3b2o$79b2ob
2o2$81bo$78b3ob3o$80b3o$79b5o$79bo3bo$78bo5bo$79bo3bo$78b2obob2o$78b2o
3b2o$79b2ob2o2$81bo$78b3ob3o$80b3o$79b5o$79bo3bo$71bo6bo5bo6bo$70b3o6b
o3bo6b3o$70b3o5b2obob2o5b3o$78b2o3b2o$72b3o4b2ob2o4b3o$75bo11bo$75b3o
3bo3b3o$71bo3bobo2bobo2bobo3bo$71bo2bo2b2obobob2o2bo2bo$70bobob2obobo
3bobob2obobo$71bob2ob2o3bo3b2ob2obo$77bo2b3o2bo$74bo2bobo3bobo2bo$73b
o3bob2ob2obo3bo$73bob3o3bo3b3obo$76bo9bo$72b3o13b3o$77b2ob3ob2o$77b2o
bobob2o$76b2o7b2o$76bo2b2ob2o2bo$76bobobobobobo$75b2o3bobo3b2o$75bo3b
o3bo3bo$74bobo2b2ob2o2bobo$75bo11bo$77bo7bo$75bobo7bobo$75bobo7bobo2$
75bo11bo$73b3o11b3o$72bo4b2ob3ob2o4bo$72b2o4bobobobo4b2o$76bo3bobo3bo
$73bo3bo7bo3bo$72bobo3bo5bo3bobo$72bo3b3o5b3o3bo$79b2ob2o$78bo5bo!
I am tentatively considering myself back.

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LuveelVoom
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Re: Spaceship Searching Approaches

Post by LuveelVoom » January 1st, 2025, 3:35 pm

I am not sure what thread is best for this. There's not really a thread for search program thoughts in general, so I just want to give a few thoughts here as we hit the exponential difficulty wall of period 8+ searches.
These are a few of my ideas for finding new ships. I've shared these on the discord before.
First, and probably the most likely to happen, is CUDA acceleration, which could speed up searches by a factor of 2 or a factor of 10,000. This topic has been discussed elsewhere, I won't cover it here.
Secondly, neural nets. They helped with silk, and I don't see why a similar principle can't be applied here (though the benefit to silk was small.) More generally, we are currently constructing programs that use smart tricks to find ships- what about constructing programs to find smart tricks? The limits of human built programs may have been reached (LLSSS takes 10 gigs of ram to compile, and is an incredibly complex and powerful program- can human built software get much better?)
Thirdly, distributed computing. This one is also likely to happen and has already been tried. The main issue here is getting people to do the computing. We don't have any sort of motivation for non-lifenthusiasts to do it, maybe a video game, competition, or (shudders) (trembles in fear) monetary rewards???
And finally, the most insane idea I think I've ever had. Quantum computing. No, I'm completely serious. Quantum computers will probably be powerful enough within 5-20 years to start solving problems like this, and the power given by quantum algorithms are immense. In fact, I wonder whether willow has enough qbits to find the LWSS?
Anyway, those are my thoughts. Please feel free to share yours.
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Re: Spaceship Discussion Thread

Post by hotdogPi » January 1st, 2025, 3:38 pm

More power won't do it. We need new methods, such as finding a few hundred partials that are one or two cells off, combining each pair (with hundreds, there are tens of thousands of pairs), and finding if two of them fit together. Also, Sir Robin has some repeating segments, and if those could be identified for, say, c/8o, you basically have a patchwork to put together rather than hundreds of individual cells.
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196

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Re: Spaceship Searching Approaches

Post by confocaloid » January 1st, 2025, 3:43 pm

LuveelVoom wrote:
January 1st, 2025, 3:35 pm
I am not sure what thread is best for this. There's not really a thread for search program thoughts in general, [...]
There is at least one such thread:
viewtopic.php?f=9&t=6044 "Thread for your CA software/algorithms ideas"
LuveelVoom wrote:
January 1st, 2025, 3:35 pm
[...]
First, and probably the most likely to happen, is CUDA acceleration, [...]
Secondly, neural nets. [...]
Thirdly, distributed computing. [...]
And finally, the most insane idea I think I've ever had. Quantum computing. No, I'm completely serious. [...]
I think the most impressive speedups and resulting discoveries yet to happen will come from new algorithms (or new applications of algorithms previously known from other math/CS fields), rather than from just throwing enormous brute-force resources. In other words, I expect that "constructing programs that use smart tricks" will continue to be relevant for a long time. A search program might run on an old 32-bit desktop PC, but if it uses an algorithm that no program used before then it might find something previously unknown.
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Unlikely events happen.
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Re: Spaceship Searching Approaches

Post by LuveelVoom » January 1st, 2025, 3:49 pm

confocaloid wrote:
January 1st, 2025, 3:43 pm
LuveelVoom wrote:
January 1st, 2025, 3:35 pm
[...]
First, and probably the most likely to happen, is CUDA acceleration, [...]
Secondly, neural nets. [...]
Thirdly, distributed computing. [...]
And finally, the most insane idea I think I've ever had. Quantum computing. No, I'm completely serious. [...]
I think the most impressive speedups and resulting discoveries yet to happen will come from new algorithms (or new applications of algorithms previously known from other math/CS fields), rather than from just throwing enormous brute-force resources. In other words, I expect that "constructing programs that use smart tricks" will continue to be relevant for a long time. A search program might run on an old 32-bit desktop PC, but if it uses an algorithm that no program used before then it might find something previously unknown.
This is why I believe the smart trick finder method is probably the best choice here. A program that makes a program that searches for ships could be the next big breakthrough.
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Re: Spaceship Searching Approaches

Post by confocaloid » January 1st, 2025, 3:56 pm

LuveelVoom wrote:
January 1st, 2025, 3:49 pm
This is why I believe the smart trick finder method is probably the best choice here. [...]
I'm a bit skeptical on that. To be able to design a software tool that searches for X, you need to be able to write down a definition of what X is.

It's easy to write down a definition of what is a spaceship.
It's relatively easy to implement a known, well-defined "smart trick" in a computer program that searches for spaceships.

It's much harder to write down a definition of what is a "smart trick" in general. I'm not sure if any such definition would be particularly helpful.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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Re: Spaceship Discussion Thread

Post by TigerCub414 » January 1st, 2025, 11:53 pm

c/2 p80 forerake and backrake that are smaller than the ones in jslife, by XWSS count:

Code: Select all

x = 96, y = 35, rule = B3/S23
12b2o$2b2o6bo4bo$b4o4bo$2ob2o4bo5bo$b2o6b6o$34b2o$33bo2bo$34b2o$4b2o$
3bobo3b3o$2b2obo6b3o5b2o$3b2o9bo5b2o$4bo7b3o3b2o53bo$18b2o17bo35bobo$
36bobo34b2o$2b2o31bo2bo$b4o31b2o$2ob2o73bo$b2o75bo$79b2o$51b5o$51bo4bo
13bo$51bo16bo3bo$52bo3bo10bo$54bo12bo4bo$67b5o7$93bo$93bobo$93b2o!

Code: Select all

x = 122, y = 27, rule = B3/S23
12b2o$2b2o6bo4bo$b4o4bo78b3o$2ob2o4bo5bo71b5o$b2o6b6o71b2ob3o$34b2o51b
2o$33bo2bo72b2o$34b2o74bob2o$4b2o$3bobo3b3o95bo4b2o$2b2obo6b3o5b2o84bo
2bo$3b2o9bo5b2o83bo3bo$4bo7b3o3b2o53bo31bo4bo$18b2o17bo35bobo33bobobo
2b2o$36bobo34b2o3bo23bobo3bo4b2o$2b2o31bo2bo38b3o22bo3bo6bo$b4o31b2o
38b5o21bo4bo$2ob2o70bo5bo20bo4bo$b2o71b2o2bo2b2o25bo$73b3obobob3o18bo
7b3o$51b5o18b2o2bo2b2o20b2o3bob3o$51bo4bo18bo5bo26bobobo$51bo24b5o23bo
2bo2bobo$52bo3bo20b3o25bobo2bo$54bo23bo30bobo8bo$109bo11bo$109b2o8b3o!

Code: Select all

x = 32, y = 32, rule = B3aijkr5j/S2aek3-acy4iz6c
8b3o$7bo2bo$7bo2bo$7b3o4$28b3o$28bo2bo$28bo2bo$29b3o11$3o$o2bo$o2bo$b
3o4$22b3o$21bo2bo$21bo2bo$21b3o!

User avatar
Gustone
Posts: 850
Joined: March 6th, 2019, 2:26 am

Re: Spaceship Discussion Thread

Post by Gustone » January 2nd, 2025, 9:31 am

Herschel Pair Climber Breeder

Code: Select all

x = 217, y = 401, rule = B3/S23
106b2o$105b2o2b2o$103bo4b3o$101b2obo3b3o3b3o$102bo4bo6b2o$102bo4bob3o
2bo$102bo4bo4bobo$101b5o3b3o6bo$99bo10b2o2b2o2bo$97b2o17bobo$99bo2$47b
o14b2o27bo$35bo10bob2o11bo2bo4b2o10b3o6b2o$14bob2o5bo9b2o15b2o5b2o3b4o
3b3obo7b2o2bob2o5bo$13b2o6b2obo10bo6b5obo4b3ob2obo3b4o4bobo3bo3b2ob2ob
obob2o$13bo5b2o2b6o12bo2bobobo7bob4obo3b2obo6bob2ob2o6b2o9b3o$5bo2bo2b
o3bo4b6o9bobo3b2ob6o8bo3b2o6b2o3bob2obobo3b9o5bo2bo$5bo2bobob5o5bobo3b
3o4b2o6b2o5bo3bo3bo2bo8bo2bo8bo3bobo4bo6bo3bo$4b2o14b3o3b3obo4bo2b2o3b
2o6b3obo2bob2o11bob2o8bob3ob2o8b2o2bo$5bob2ob9obo4b2obo2b2o3b4o2b2o5bo
bobobob3o7bo3bo5b2o2bo3b2o4b2o2b3o4b3o$5bo14bo7bo2b2o3bo2bo7b2o2bo3bob
2o8b2o2bo2bo5bo9b3o2b3o$5bob2ob9obo4b2obo2b2o3b4o2b2o5bobobobob3o7bo3b
o5b2o2bo3b2o4b2o2b3o4b3o$4b2o14b3o3b3obo4bo2b2o3b2o6b3obo2bob2o11bob2o
8bob3ob2o8b2o2bo$5bo2bobob5o5bobo3b3o4b2o6b2o5bo3bo3bo2bo8bo2bo8bo3bob
o4bo6bo3bo$5bo2bo2bo3bo4b6o9bobo3b2ob6o8bo3b2o6b2o3bob2obobo3b9o5bo2bo
$13bo5b2o2b6o12bo2bobobo7bob4obo3b2obo6bob2ob2o6b2o9b3o$13b2o6b2obo10b
o6b5obo4b3ob2obo3b4o4bobo3bo3b2ob2obobob2o$14bob2o5bo9b2o15b2o5b2o3b4o
3b3obo7b2o2bob2o5bo5bo$35bo10bob2o11bo2bo4b2o10b3o6b2o6bo2bo12bo$47bo
14b2o27bo23b2o$97b2ob5o9b2o$96bobo$91b2o2bo9bo$90bobo2bo$91bobo$86bo2b
3obo9b2o$86bobo13bob2o$86bo14b2o8bobo$87bo14bo8bo3bo$87bo13b3o7bo2b2o
20bo$85bo14b3o10bobo21b2o$84b2o29bo20b2o$87bo10b2ob2o12b2o$83b2o3bo26b
obo$82bobo2bo11bob2o$82b2obo13b2o12b2o$78bobo18bo4bo7b2o2bo$78bo21b4o
8b2o2bo$78bobo21b2o8b2ob2o$103bo9b5o$94bo8b2o11bobo$94b2o7b2o9b2o3bo
27bo$78bo6bo8bo3b3o13bobo9bobo16bo2b2o$76b3o4bo2b2o9b5o14bo3bo5bo2bo5b
o10bo2bo$72b2o2b3ob4o16bobo3b2o9bo2bo2b2obo2bo3bo2b2o8b3o$71b3ob2o4bo
9b2o4b3obo3b3o3bo6bobo2bobo3bo3bo3bo11bo$72b2o3bo4b4o5b2o3bobo7b2obo
14b3o3bo4b3o12b2o$77bo8bo3bo4b3o11bo4bo15bob3obo4bo2bo3b2o$78b6ob3o3bo
2b2o19bo8b3o3bob2o4b5obo3b2ob2o$80b3o2b3o3bo2b2o13b5obo4bo2bobo3bo3bo
5bob3o3bo$80bo5b2o26b3obobo2b2obo2bo4bo4bo5b3o$85bo23bo8bobo5bo2bo5b4o
6bo2bobo29bo$82bo2b3o21b3o14bobo8bo7b5obo29b2o$82b2o27b3o7bo26b2obo28b
2o$82bo29b2o7b2o$111b2obo6bo3b2o$110bo13b4o$110bo2bo10bo3bo$107b2obo2b
o12bo$97bo8b3o17b3o$95b2o10b2o51b2o$97bo2b2o22b2o15b2o19bo$99b2o22b2o
4bo2b2o4bob3o16b2ob2o$100bo23bo4bo2b3o2bo4bo5b3o10b2o$93b3o4bo4bo3bo
13b3o3bo4bo2bo3b2o4b3ob2o2bo8bo$96b2o2bo3bobob2o16b3o9b4obo3bo16bo$91b
2o4bo2bo9b2o11b6o13b3ob2o2bo6b2o3b2o2bo$86bo3bo6b3o4b2o6bobo5bo3b3o11b
4obo3bo2b3ob5o3bo$86b2o7bo10b2o3bo4bo3b2o12bo2bo3b2o5b4obo11b2o$86bo2b
2o4b2obobo11bo3bo3bo10b4o2bo4bo5b2o3bo6b2o14b2o$91b3o4bobo10b5o15b3o4b
ob3o7bobo6b2o14bobo$100bo8bo18b2o2bo8b2o8bo8b2ob3o11bo$107b2o8b2o8bo3b
2o30b2o31bo$109bo7b2o11b3o63bobo$126bo2bo66b2o$93b2o21bo10b2o$92b3o19b
4o9bobobo$93b2obo2bo13bo4bo8bo3bo$96bo2bo13b3obo9bo$96bo3b2o26bo2bo$
97b2ob2o11bobo38b2o$98bo2bo11bobo13b3o21bobo$98b2o13bobo13bo25bo2$100b
obo12b2o9b4o$101bo14bobo6b3o2bo$115bo2bo7b2o$100b4obo10bo$100b2o4bobo
8b2obo$104bo3bo9b2o$104bo6bo6bo$105b5o2bo4b2o13b2o$107b2o8b2o12bobo$
110b3o3b2o15bo$76b2o34b4o80bo$29bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o
6b3o80bobo$30bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo87b2o$27b2ob2o3b2ob
o2b2o5bo7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2obo$27bo2b2o2bo
2bo12b2o4bobobobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo9b2o$20b2o3b2o2bob
2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o2b3o2bobob2ob2o2bo5bo$19b4ob
ob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10bo2bo2bobo6bobo2bo8bo$19bo2bobo
7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6bo2bob2ob3o4bo3b3o4bo6b2o$19bob11o
bo3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo4bo6bo$20bo14b3o5bobo3bo
3bo8bo3b2ob3o8b2o4b2o7b2o8bo4bo4bobo$19bob11obo3b5o3bo5b2o3b2o4bobo4bo
2bo9bo3b2o4b2o5b3o3bo4bo4bobo$19bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b
2o2bo6bo2bob2ob3o4bo3b3o4bo5bo$19b4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b
2obo10bo2bo2bobo6bobo2bo$20b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo
2bobobob3o2b3o2bobob2ob2o2bo$27bo2b2o2bo2bo12b2o4bobobobob2ob2obo2b4ob
o2bo2bob3o2bo4bo3bo6bo$27b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o4b
obo3b2o2bo2b2ob2o2b2obo8b3o$30bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo7b
2o2bo$29bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o10b3o$76b2o40bo2$112bobo
46b2o$112bo19bo27b2o2b2o$112bobo2bo7bobob4o25bo4b3o30bo$115bo4bo3b2obo
2b2o24b2obo3b3o3b3o24bobo$116bob2o2bobo4b2o26bo4bo6b2o25b2o$117b4o3b2o
3b2o26bo4bob3o2bo$116bob3o8bo27bo4bo4bobo$116bo2b2o8bo26b5o3b3o6bo$
116bo3b6obo2bo23bo10b2o2b2o2bo$118bobo31b2o17bobo$121bo32bo$121bo$102b
o14b2o27bo$90bo10bob2o11bo2bo4b2o10b3o6b2o$69bob2o5bo9b2o15b2o5b2o3b4o
3b3obo7b2o2bob2o5bo$68b2o6b2obo10bo6b5obo4b3ob2obo3b4o4bobo3bo3b2ob2ob
obob2o$68bo5b2o2b6o12bo2bobobo7bob4obo3b2obo6bob2ob2o6b2o$60bo2bo2bo3b
o4b6o9bobo3b2ob6o8bo3b2o6b2o3bob2obobo3b9o$60bo2bobob5o5bobo3b3o4b2o6b
2o5bo3bo3bo2bo8bo2bo8bo3bobo4bo15b2o$59b2o14b3o3b3obo4bo2b2o3b2o6b3obo
2bob2o11bob2o8bob3ob2o15b3o$60bob2ob9obo4b2obo2b2o3b4o2b2o5bobobobob3o
7bo3bo5b2o2bo3b2o4b2o17bo$60bo14bo7bo2b2o3bo2bo7b2o2bo3bob2o8b2o2bo2bo
5bo9b3o12bo$60bob2ob9obo4b2obo2b2o3b4o2b2o5bobobobob3o7bo3bo5b2o2bo3b
2o4b2o12b4o$59b2o14b3o3b3obo4bo2b2o3b2o6b3obo2bob2o11bob2o8bob3ob2o12b
o$60bo2bobob5o5bobo3b3o4b2o6b2o5bo3bo3bo2bo8bo2bo8bo3bobo4bo13b2o32bo$
60bo2bo2bo3bo4b6o9bobo3b2ob6o8bo3b2o6b2o3bob2obobo3b9o10b3o33bobo$68bo
5b2o2b6o12bo2bobobo7bob4obo3b2obo6bob2ob2o6b2o13bo35b2o$68b2o6b2obo10b
o6b5obo4b3ob2obo3b4o4bobo3bo3b2ob2obobob2o$69bob2o5bo9b2o15b2o5b2o3b4o
3b3obo7b2o2bob2o5bo5bo$90bo10bob2o11bo2bo4b2o10b3o6b2o6bo2bo$102bo14b
2o27bo$152b2ob5o$151bobo$146b2o2bo9bo$145bobo2bo$146bobo32bo$141bo2b3o
bo9b2o22b2o$141bobo13bob2o20b2o$141bo14b2o8bobo$142bo14bo8bo3bo$142bo
13b3o7bo2b2o38bo$140bo14b3o10bobo38bobo$139b2o29bo27b2o9b3o$142bo10b2o
b2o12b2o26b2o11bo$138b2o3bo26bobo$137bobo2bo11bob2o$137b2obo13b2o12b2o
$133bobo18bo4bo7b2o2bo$133bo21b4o8b2o2bo$133bobo21b2o8b2ob2o$158bo9b5o
$149bo8b2o11bobo$149b2o7b2o9b2o3bo27bo7b2o$133bo6bo8bo3b3o13bobo9bobo
16bo2b2o5bobo$131b3o4bo2b2o9b5o14bo3bo5bo2bo5bo10bo2bo5bo$127b2o2b3ob
4o16bobo3b2o9bo2bo2b2obo2bo3bo2b2o8b3o$126b3ob2o4bo9b2o4b3obo3b3o3bo6b
obo2bobo3bo3bo3bo11bo11bo$127b2o3bo4b4o5b2o3bobo7b2obo14b3o3bo4b3o12b
2o7b2o$132bo8bo3bo4b3o11bo4bo15bob3obo4bo2bo3b2o10b2o$133b6ob3o3bo2b2o
19bo8b3o3bob2o4b5obo3b2ob2o$135b3o2b3o3bo2b2o13b5obo4bo2bobo3bo3bo5bob
3o3bo$135bo5b2o26b3obobo2b2obo2bo4bo4bo5b3o$140bo23bo8bobo5bo2bo5b4o6b
o2bobo$137bo2b3o21b3o14bobo8bo7b5obo$137b2o27b3o34b2obo$137bo29b2o$
166b2obo$165bo$165bo2bo$162b2obo2bo$161b3o$162b2o3$210b2o$210bobo$159b
o50bo$159b2o$159bo3b2o51bo$162b4o48b2o$162bo3bo48b2o$164bo$135bo28b3o$
133b2o63b2o$135bo2b2o22b2o15b2o19bo$137b2o22b2o4bo2b2o4bob3o16b2ob2o$
138bo23bo4bo2b3o2bo4bo5b3o10b2o$131b3o4bo4bo3bo13b3o3bo4bo2bo3b2o4b3ob
2o2bo8bo$134b2o2bo3bobob2o16b3o9b4obo3bo16bo$129b2o4bo2bo9b2o11b6o13b
3ob2o2bo6b2o3b2o2bo$124bo3bo6b3o4b2o6bobo5bo3b3o11b4obo3bo2b3ob5o3bo$
124b2o7bo10b2o3bo4bo3b2o12bo2bo3b2o5b4obo11b2o$124bo2b2o4b2obobo11bo3b
o3bo10b4o2bo4bo5b2o3bo6b2o$129b3o4bobo10b5o15b3o4bob3o7bobo6b2o$138bo
8bo18b2o2bo8b2o8bo8b2ob3o$145b2o8b2o8bo3b2o30b2o$147bo7b2o11b3o39b2o$
164bo2bo42bobo$131b2o21bo10b2o43bo$130b3o19b4o9bobobo$131b2obo2bo13bo
4bo8bo3bo46bo$134bo2bo13b3obo9bo48b2o$134bo3b2o26bo2bo45b2o$135b2ob2o
11bobo$136bo2bo11bobo13b3o$136b2o13bobo13bo41b2o$186b2o4bo16b2o$138bob
o12b2o9b4o17bobo3b2o$139bo14bobo6b3o2bo18bo3bobo$153bo2bo7b2o$138b4obo
10bo$138b2o4bobo8b2obo$142bo3bo9b2o$142bo6bo6bo$143b5o2bo4b2o$145b2o8b
2o$148b3o3b2o$114b2o34b4o10b2o$67bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o
6b3o9bobo$68bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo18bo$65b2ob2o3b2obo
2b2o5bo7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2obo$65bo2b2o2bo2b
o12b2o4bobobobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo$58b2o3b2o2bob2ob2o
3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o2b3o2bobob2ob2o$57b4obob3ob4o2bob
o3bo6b2o3bo2bo8bob2o3b2obo10bo2bo2bobo6bobo2bo3bo3bo$57bo2bobo7bo2b2ob
o4bobo3bo2bo4bo7bobo5b2o2bo6bo2bob2ob3o4bo3b3o4b2o2b3o$57bob11obo3b5o
3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo4b2ob2o2bo$58bo14b3o5bobo3bo3b
o8bo3b2ob3o8b2o4b2o7b2o8bo2bob2ob2ob3o$57bob11obo3b5o3bo5b2o3b2o4bobo
4bo2bo9bo3b2o4b2o5b3o3bo4b2ob2o2bo$57bo2bobo7bo2b2obo4bobo3bo2bo4bo7bo
bo5b2o2bo6bo2bob2ob3o4bo3b3o4b2o2b3o37bo$57b4obob3ob4o2bobo3bo6b2o3bo
2bo8bob2o3b2obo10bo2bo2bobo6bobo2bo3bo3bo37b2o$58b2o3b2o2bob2ob2o3b2o
2bo12b2o2b2obob3o5bo6bo2bobobob3o2b3o2bobob2ob2o45bobo$65bo2b2o2bo2bo
12b2o4bobobobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo$65b2ob2o3b2obo2b2o5b
o7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2obo$68bo7bo9bo12b2ob2o
5bo4b2o6bo10b2o5b3o3bo$67bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o$114b2o
2$150bobo$116bo33bo19bo$115bobo32bobo2bo7bobob4o$113bo39bo4bo3b2obo2b
2o$111b5obo2b2o3bo28bob2o2bobo4b2o$111bo2bo2b2ob3obobo28b4o3b2o3b2o$
117b2o2b4o29bob3o8bo$111b3ob3o2b2o2bo29bo2b2o8bo$114bob2o2bo4bo28bo3b
6obo2bo$111bo8b2o3bo30bobo$108b2obo2bo5bob2obo2bo30bo$107b3o3bo12bobo
30bo$108b2o$192bo$57bo14bo19bo7b2o89b2o$24bo19b2o10bo3bo6b2ob2obo4b2ob
o10bo98bobo$23bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o3b2ob2obo2bo$
25bo4b4o2b2o6bo7bobo2bobo3bo4bo7b2o5bo3b4o7bo3bobo$22b2o2bo2bo6b2o7bo
5bo3bob3o4bobo2b4obob5obo3bo3bo3bo4bo2bobo$21bo4bo2b2o4b2o7b2obo3b2o3b
o4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b3o$14b4obob4obo4bobobobobo4b2o2bo7bo
4bob6ob3o7bob2obo5bo3b4obobob2o$14bo2b4o6bob3ob2obo3bo6b3o3bo11b3o14bo
bo3bo5b2o4bob2ob2o$21b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo
2b2obo4b3o3bobob3o$14b3o12b3o6bobob2o5b2o6b3obo3b2o9bo5bo5bobo9bob2obo
b2o$21b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bobob
3o$14bo2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bob2ob2o$14b4obob4o
bo4bobobobobo4b2o2bo7bo4bob6ob3o7bob2obo5bo3b4obobob2o$21bo4bo2b2o4b2o
7b2obo3b2o3bo4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b3o$22b2o2bo2bo6b2o7bo5bo
3bob3o4bobo2b4obob5obo3bo3bo3bo4bo2bobo11bobo$25bo4b4o2b2o6bo7bobo2bob
o3bo4bo7b2o5bo3b4o7bo3bobo12b2o$23bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2ob
obo5b2o3b2ob2obo2bo13bo$24bo19b2o10bo3bo6b2ob2obo4b2obo10bo15b2o$57bo
14bo19bo7b2o5bo2b2obo$106bo$105b2o2bobo2bo$101b7o4b2o78bo$100b2o89b2o$
98b2ob4o9bo76bobo$96bo4bo10b2obo$95b5obo9bo3bo22bobo$111b3o7bo17b2o$
95b3o13b2o8b2o2b2o12bo$121bo2bo$94bo2bo11b2o13bo$93bo$93bo3bo10b2o14b
3o$92b2ob2o11b3o14bo$91bo3bo28b2o$91b4o13b2obo11b3o$88bo3b2o14b2o2b2o
8b5o$88b2o20b3obo11bo33bobo$88bo33bo38b2o$122b2o37bo$103bobo7bo8b3o2bo
$103bo8b2o9b2ob2o27b2o$95bo7bobo2bo15bo12b2o9bo6b2o3bo$87b2o2bob3o10bo
18bobo7b2o3bo3bo8b2o2bo$82bob2ob2o2bob2o12bob3o4bo10b2obob4o5bo7bo7b2o
33bo$80b2o3bob2obo10b2o5b4o2b2o14bob2o2b2o5b2ob2o2bo6bobo31b2o$82bobob
2o2b2ob2o5bobo3b2obo6bo17b2o2bo3bob2ob4o4b3obo31bobo$87bob2obo2bo3b2ob
2o14b5o15bo3b2ob2o2b2ob2o3b2ob2o$88b3o2b2o4b3ob3o13bo3b2o9b2o2bo3bo4bo
bo2bo7b2o$89bo3b2o24bo10bob2o2b2o5b2o3bo7bo3bo$94bo24bo5bob2obob4o8bob
2o7bo$93bobo22b2obobobobo7b2o3bo4b3o7bo4bo$91bo4bo23bo16b2o16b2o2bo$
91bo4bo5bo55b2o$91bobo8b2o18b2o$102bo3b2o13b2o$105b4o11bo2bo$105bo3bo
9b4o$107bo9bo$78bo28b3o5b2o$76b2o39bo23b2o$78bo2b2o22b2o15b2o19bo$80b
2o22b2o4bo2b2o4bob3o16b2ob2o$81bo23bo4bo2b3o2bo4bo5b3o10b2o$74b3o4bo4b
o3bo13b3o3bo4bo2bo3b2o4b3ob2o2bo8bo$77b2o2bo3bobob2o16b3o9b4obo3bo16bo
19b2o$72b2o4bo2bo9b2o11b6o13b3ob2o2bo6b2o3b2o2bo16bobo$67bo3bo6b3o4b2o
6bobo5bo3b3o11b4obo3bo2b3ob5o3bo22bo$67b2o7bo10b2o3bo4bo3b2o12bo2bo3b
2o5b4obo11b2o$67bo2b2o4b2obobo11bo3bo3bo10b4o2bo4bo5b2o3bo6b2o$72b3o4b
obo10b5o15b3o4bob3o7bobo6b2o$81bo8bo18b2o2bo8b2o8bo8b2ob3o$88b2o8b2o8b
o3b2o30b2o$90bo7b2o11b3o$107bo2bo$74b2o21bo10b2o$73b3o19b4o9bobobo30b
2o$74b2obo2bo13bo4bo8bo3bo29bobo$77bo2bo13b3obo9bo35bo$77bo3b2o26bo2bo
$78b2ob2o11bobo$79bo2bo11bobo13b3o$79b2o13bobo13bo2$81bobo12b2o9b4o$
82bo14bobo6b3o2bo$96bo2bo7b2o$81b4obo10bo23b2o$81b2o4bobo8b2obo18bobo$
85bo3bo9b2o21bo$85bo6bo6bo$86b5o2bo4b2o$88b2o8b2o$91b3o3b2o$57b2o34b4o
$10bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o6b3o$11bo7bo9bo12b2ob2o5bo4b2o
6bo10b2o5b3o3bo$8b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o4bobo3b2o
2bo2b2ob2o2b2obo$8bo2b2o2bo2bo12b2o4bobobobob2ob2obo2b4obo2bo2bob3o2bo
4bo3bo6bo11b2o$b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o2b
3o2bobob2ob2o2bo7bo$4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10bo2bo2bo
bo6bobo2bo13b2o$o2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6bo2bob2ob3o
4bo3b3o4bo10bo$ob11obo3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo12b
3obo$bo14b3o5bobo3bo3bo8bo3b2ob3o8b2o4b2o7b2o8bo17bo$ob11obo3b5o3bo5b
2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo$o2bobo7bo2b2obo4bobo3bo2bo4bo7bobo
5b2o2bo6bo2bob2ob3o4bo3b3o4bo10b4o$4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o
3b2obo10bo2bo2bobo6bobo2bo15bo$b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5b
o6bo2bobobob3o2b3o2bobob2ob2o2bo$8bo2b2o2bo2bo12b2o4bobobobob2ob2obo2b
4obo2bo2bob3o2bo4bo3bo6bo$8b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o
4bobo3b2o2bo2b2ob2o2b2obo$11bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo$10b
o18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o$57b2o2$93bobo$93bo19bo$93bobo2bo
7bobob4o$96bo4bo3b2obo2b2o$97bob2o2bobo4b2o$98b4o3b2o3b2o$97bob3o8bo$
97bo2b2o8bo$97bo3b6obo2bo$99bobo$102bo$102bo!

User avatar
dexter1
Posts: 95
Joined: February 26th, 2020, 8:46 am

Re: Spaceship Searching Approaches

Post by dexter1 » January 2nd, 2025, 10:08 am

confocaloid wrote:
January 1st, 2025, 3:43 pm
I think the most impressive speedups and resulting discoveries yet to happen will come from new algorithms (or new applications of algorithms previously known from other math/CS fields), rather than from just throwing enormous brute-force resources.
If an algorithm is scalable and expandable across machine boundaries, by using MPI for example, and the algorithm is compute-bound then brute-force sometimes is the easiest and quickest way to go, since computing power is (relatively) cheap.

Algorithms which are memory-bound are harder to scale due to the price and limits of memory in a single machine. Having a way to circumvent memory limitations by using message passing would be ideal, but this likely will approach limits due to the bandwidth and latency of networking components.
There are solutions to add memory by expanding PCI Express lanes using switches, but these solutions are expensive.

To illustrate: I just finished a c/5 qfind search with -w13 gutter on one of the idle memory nodes of an HPC system, using 1.08 TB of memory and 2x24 Xeon cores. After 47 hours it only found kermit :

Code: Select all

qfind v2.4b by Matthias Merzenich, 21 September 2024
Input: -l 1c5gblue

State successfully loaded from file 1c5gblue

Rule: B3/S23
speed: c/5
Width: 13
Symmetry: gutter
Dump interval: 1800 seconds
Dump mode: overwrite
Queue size: 2^20
Hash table size: 2^20
Minimum deepening increment: 3
Lookahead caching disabled
Number of threads: 48

01/01/25 13:07:12 Starting search
01/01/25 13:14:08 Queue full, depth 37, deepening 114, 131k/467k -> 19k/333k
01/01/25 16:11:06 State dumped to 1c5ggold
01/01/25 16:11:09 Queue full, depth 38, deepening 116, 131k/474k -> 19k/341k
01/01/25 18:12:00 State dumped to 1c5gblue
01/01/25 18:12:02 Queue full, depth 39, deepening 118, 131k/480k -> 19k/341k
01/01/25 20:08:05 State dumped to 1c5ggold
01/01/25 20:08:08 Queue full, depth 40, deepening 120, 131k/482k -> 19k/342k
01/01/25 21:49:04 State dumped to 1c5gblue
01/01/25 21:49:07 Queue full, depth 42, deepening 121, 131k/482k -> 19k/353k
01/01/25 23:39:39 State dumped to 1c5ggold
01/01/25 23:39:46 Queue full, depth 43, deepening 123, 131k/488k -> 19k/356k
02/01/25 01:20:35 State dumped to 1c5gblue
02/01/25 01:20:42 Queue full, depth 44, deepening 125, 131k/491k -> 18k/346k
02/01/25 04:02:58 State dumped to 1c5ggold
02/01/25 04:03:03 Queue full, depth 45, deepening 127, 131k/479k -> 19k/357k
02/01/25 06:15:15 State dumped to 1c5gblue
02/01/25 06:15:17 Queue full, depth 46, deepening 129, 131k/494k -> 18k/348k
02/01/25 08:10:40 State dumped to 1c5ggold
02/01/25 08:10:50 Queue full, depth 47, deepening 131, 131k/487k -> 18k/356k
02/01/25 10:16:50 State dumped to 1c5gblue
02/01/25 10:16:53 Queue full, depth 48, deepening 133, 131k/496k
x = 25, y = 14, rule = B3/S23
2bo19bo$2ob2o4bo5bo4b2ob2o$3b3o2bobo3bobo2b3o$3bo4bob2ob2obo4bo
$4bo3bob2ob2obo3bo$8bo7bo$6b6ob6o$8b3o3b3o2$11bobo$6bo4bobo4bo$4b
2ob3obobob3ob2o$4bobo3b2ob2o3bobo$3b2ob2o9b2ob2o!

 -> 18k/361k
02/01/25 12:33:24 State dumped to 1c5ggold
02/01/25 12:33:30 Queue full, depth 49, deepening 135, 131k/496k
...and that's it so far. I can't increase the width further without going out of memory on this node.
Kermit was found previously with a -w12 search which consumed "only" 140 GB of memory and ran for 5.5 hours, so it helps to exhaust smaller searches before attempting larger ones.

What we can do in the meantime is try to improve existing programs like qfind by reducing the memory footprint, using new compilers to benefit from advanced instructions implemented in new generation CPU's, recoding critical sections in machine language (see lifelib), etc...

Granted, this also requires time and effort, just as finding and developing new algorithms do. It however never hurts to improve current code to better understand it and maybe extract some ideas from it.

PS: The qfind run did find something to go on: After extracting a list of head partials from the dump file and running one of them in ikpx2, i obtained three new ships:

Code: Select all

x = 81, y = 150, rule = B3/S23
8bo3bo25bo3bo25bo3bo$6b3o3b3o21b3o3b3o21b3o3b3o$6bo7bo21bo7bo21bo7bo$
7bo5bo23bo5bo23bo5bo$7bo5bo23bo5bo23bo5bo$8bo3bo25bo3bo25bo3bo$6b2obob
ob2o21b2obobob2o21b2obobob2o$4bo2b2o3b2o2bo17bo2b2o3b2o2bo17bo2b2o3b2o
2bo$6b2o5b2o21b2o5b2o21b2o5b2o2$7bo5bo23bo5bo23bo5bo$5b3o5b3o19b3o5b3o
19b3o5b3o$5b3o5b3o19b3o5b3o19b3o5b3o$3o3bo7bo3b3o9b3o3bo7bo3b3o9b3o3bo
7bo3b3o$o19bo9bo19bo9bo19bo$b3ob2o7b2ob3o11b3ob2o7b2ob3o11b3ob2o7b2ob
3o$3bo13bo15bo13bo15bo13bo$5b2o7b2o19b2o7b2o19b2o7b2o$5bobo5bobo19bobo
5bobo19bobo5bobo$6b3o3b3o21b3o3b3o21b3o3b3o$3b2o3bo3bo3b2o15b2o3bo3bo
3b2o15b2o3bo3bo3b2o$4bo11bo17bo11bo17bo11bo$b2ob2obo5bob2ob2o11b2ob2ob
o5bob2ob2o11b2ob2obo5bob2ob2o$b2o2b3o5b3o2b2o11b2o2b3o5b3o2b2o11b2o2b
3o5b3o2b2o$5bo9bo19bo9bo19bo9bo$5bobo5bobo19bobo5bobo19bobo5bobo$4b2o
2bo3bo2b2o17b2o2bo3bo2b2o17b2o2bo3bo2b2o$4bo2bobobobo2bo17bo2bobobobo
2bo17bo2bobobobo2bo$4b2obobobobob2o17b2obobobobob2o17b2obobobobob2o$7b
obobobo23bobobobo23bobobobo$7bobobobo23bobobobo23bobobobo$5b3obobob3o
20b2obobob2o21b2obobob2o$3b2o4bobo4b2o18bobo3bobo21bobo3bobo$3bo5bobo
5bo13b5o9b5o11b5o9b5o$4b3obo3bob3o13bo3b2o9b2o3bo9bo3b2o9b2o3bo$6b2ob
3ob2o16bo2b2o9b2o2bo11bo2b2o9b2o2bo$4bob2o2bo2b2obo17bo11bo17bo11bo$4b
obo7bobo17b2o9b2o17b2o9b2o$7bo5bo17bo2bob2o5b2obo2bo11bo2bob2o5b2obo2b
o$8bo3bo21b3obo3bob3o17b3obo3bob3o$4b2o3bobo3b2o14b2o2b4o3b4o2b2o11b2o
2b4o3b4o2b2o$4b2o2b2ob2o2b2o13bo3b3o7b3o3bo9bo3b3o7b3o3bo$3bo3b2o3b2o
3bo$2bo2b4o3b4o2bo16b2o7b2o19b2o7b2o$2bo4bo5bo4bo18b3ob3o23b3ob3o$3bo
2b2o5b2o2bo15bo13bo15bo13bo$5b2o7b2o17bo3b3ob3o3bo15bo3b3ob3o3bo$8b2ob
2o19b2ob4o3b4ob2o13b2ob4o3b4ob2o$5b2o7b2o$5b2o7b2o21b2o3b2o23b2o3b2o$
5b2o7b2o17b2obobo3bobob2o15b2obobo3bobob2o$33b2o11b2o15b2o11b2o$5b2o7b
2o17bob3o5b3obo15bob3o5b3obo$4bobobo3bobobo$4b2o2bo3bo2b2o16b2obo7bob
2o15b2obo7bob2o$3b2o4bobo4b2o$6bo2bobo2bo18bobo9bobo15bobo9bobo$6bo2bo
bo2bo19b2o9b2o17b2o9b2o$7b2o3b2o$8b2ob2o22bobo5bobo19bobo5bobo$4bo11bo
19b2ob3ob2o21b2ob3ob2o$3b3o9b3o20b5o25b5o$2bo15bo20b3o27b3o$3bo3b2o3b
2o3bo16bo2bo5bo2bo17bo2bo5bo2bo$7b2o3b2o20bo3bo3bo3bo17bo3bo3bo3bo$4b
2obobobobob2o17bo3b2ob2o3bo17bo3b2ob2o3bo$6bo2bobo2bo20bo4bo4bo19bo4bo
4bo$7bobobobo24b2ob2o25b2ob2o$9bobo23bo9bo19bo9bo$4b3o2bobo2b3o18bo2bo
3bo2bo19bo2bo3bo2bo$4b2o3bobo3b2o17bo11bo17bo11bo$4b4obobob4o19bo2bobo
2bo21bo2bobo2bo$9bobo23b3obobob3o19b3obobob3o$2b2obo2bo3bo2bob2o17b3o
3b3o21b3o3b3o$36bo7bo21bo7bo$4b2o9b2o20bo5bo23bo5bo$4b2o9b2o20b2o3b2o
23b2o3b2o$10bo26b3ob3o23b3ob3o$7bobobobo24bo3bo25bo3bo$6b2obobob2o18bo
b2obo3bob2obo15bob2obo3bob2obo$7bobobobo18bobo11bobo13bobo11bobo$9bobo
20bob3obo3bob3obo13bob3obo3bob3obo$9bobo$9bobo25bobobobo23bobobobo$6b
2obobob2o22bo5bo23bo5bo$6bo2bobo2bo19bobob2ob2obobo17bobob2ob2obobo$9b
obo25b2o3b2o23b2o3b2o$6bo3bo3bo23bo3bo25bo3bo$5bo9bo17b3ob2o3b2ob3o15b
3ob2o3b2ob3o$9bobo21bo5bobo5bo15bo5bobo5bo$6b3obob3o19b2o2bo3bo2b2o17b
2o2bo3bo2b2o2$38bo3bo$11b2o25bo3bo24bo5bo$10bo24bo3bobo3bo19b2ob2ob2ob
2o$13bo20b2ob3ob3ob2o18bo2bo3bo2bo$36b3o3b3o$14bo20b3o5b3o22bo3bo$10bo
b2obo19bobo5bobo20b2o5b2o$9b2o3bo21bo7bo20bo9bo$37bobobobo20b6ob6o$9bo
29bobo21bo2bo2bobo2bo2bo$7b2ob2o24bo7bo18b3obo5bob3o$7b2ob2o23b2obo3bo
b2o19b3o5b3o$8bobo27bo3bo23bo7bo$7bo3bo23b2o7b2o20b3o3b3o$5bo2bobo2bo
21bo9bo21b2o3b2o$3b2obobobobob2o48bo11bo$4bobobobobobo49bo3b2ob2o3bo$
8bobo26b3ob3o20b4obobob4o$4b2o2bobo2b2o22bo5bo23bobobobo$3bo3bo3bo3bo
19b2o7b2o21bobobobo$5bo7bo21bo9bo17b6o3b6o$3bo11bo18b2obo5bob2o16b5o5b
5o$2bo13bo18bo2b2ob2o2bo17bob2o7b2obo$2bo13bo18b2obobobob2o$2bo2bo7bo
2bo20b2o3b2o19bo4b2ob2o4bo$5bo7bo25bobo21b3o3bobo3b3o$4bobo5bobo21b2ob
obob2o18b4o2bobo2b4o$5bo7bo22b2obobob2o18bobo2b2ob2o2bobo$2b2o11b2o20b
obobobo24b2ob2o$2b2o11b2o22bobo22b3ob2ob2ob3o$2b2o11b2o19bo2bobo2bo18b
ob2o7b2obo$4bo9bo20bobobobobobo17bo2bob2ob2obo2bo$4bo9bo21bo2bobo2bo
19bo11bo$4b2o7b2o21bo2bobo2bo22bo5bo$4b2o7b2o24bobo26b2ob2o$6bo5bo21b
2obobobobob2o22bobo$6bo5bo21bo2bobobobo2bo21b2ob2o$7bo3bo24b2obobob2o
21bo7bo$6bo5bo22b4o3b4o19b2o7b2o$64bo11bo$38bo3bo25b5o$35bo2bo3bo2bo
22bobobo$35b2o7b2o20b3o3b3o$37bo5bo20b2obo5bob2o$38bo3bo21bobo7bobo$
37b2o3b2o19bobo9bobo$36b3obob3o19bo11bo$39b3o24b2o5b2o$36bo3bo3bo21b2o
5b2o$37bo5bo22b2o5b2o$37bo5bo21bo9bo$65bo9bo$64b2o9b2o$64b2o9b2o$63bo
13bo$63bo13bo$62bo15bo$63bo13bo!
Frank Everdij

User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Spaceship Discussion Thread

Post by confocaloid » January 3rd, 2025, 11:51 pm

hotdogPi wrote:
January 1st, 2025, 3:38 pm
[...] Also, Sir Robin has some repeating segments, [...]
Can you explain what are those "repeating segments"?

Code: Select all

x = 175, y = 116, rule = LifeHistory
6.12D$6.4D2.D2.4D14.7D55.5D2.10D12.6D$5.2D.A3.A.2AD.5D10.D3.D.5D50.3D
.7D.6D12.3D3.4D$5.D2.3A.A3.A2.4D9.2D.3A3.3D49.2D2.A4.D.A.A2.A.4D9.2D
2A2.5D$5D2.2A4.3A3.2A2.3D6.D3.2A2.2A.2D48.2D.A.2A4.6A4.2D8.D4.A.A.3D$
3D4.A3.A6.2A4.2D6.D.A2.A.A4.2D45.2D2.A4.3A6.4A2.7D2.D.2A4.A.2D$D.C3.A
4.2A.A3.A2.A.A2.6D3.A4.A.A3.5D40.2D2.A3.2A.6A2.A.2A2.D2.3D2.2D2A5.A.
6D$D2.A.3A5.3A2.A4.A2.D3.D6.A4.2A3.4D40.D.A.A10.2A.A4.2A2.2A6D2.A3.A
2.D.5D.5D$2D.A3.4A.A.2A3.A.2A.A2.3A2.A3.A.A4.A.A.2A.D2.6D32.2D.2A2.A
2.4A2.A.2A.A.A.A5.D6.A4.A3.A2.D.5D$.5D2.3A2.A2.2A5.2A2.2A.A3.2A2.2A3.
A.A.2A.2D.7D31.5D2.DAC4.A.3A.2A.A.2A3.A11.2A4.A.3D.A.4D$.6D2.2A2.A2.
2A2.D2.2A2.2A.A.A.2A4.A2.A6.2D.D.2A2.3D30.7D.D2.D4.A3.A3.A2.A2.2A.3A.
A.A5.3A.D3.A3.2D$6.3D.D3.A.A2.2D2.2A2.A2.A.2A.A5.A.2A4.A.D.D.A.A2.5D
32.7D2.2A3.2A.A.A2.2A.A.A2.A3.A.A2.A7.5A2.3D$7.8D.5D2.A.A.2A.2A3.2A3.
2A2.2A3.A2.D2.A3.AD.8D34.2DCD3.2A.A.A5.A.2A.A.A.A.2A2.A2.A5.3A4.8D$
12.7D.D.A5.3A5.A.2A.A2.D.A2.A5.A3.4A3.4D34.7D2.2A.A.2A.A.A.2A2.A2.A4.
A3.A4.A4.A7.3D$20.D.A3.3A2.4D2.A6.D2.2A3.A2.A2D.A5.3A4D32.8D.4A2.A7.
3A.7D.A2.A4.4A2.2A.A.A3D$20.D.A7.3D.5D.5D2.A.3A.A6.A2.A6.D.5D34.2D.D
2.2A3.3D.DAC2.8D.A3.A5.A.2A.3A.A.6D$20.3D.A2.4D4.5D7.3A3.A10.A.A.2A5.
2D34.5D.D.3D3.7D3.2D4.4A4.2A.A8.6D$20.3D2.2D20.2A2.2A3.A3.2A.4A.A.A2.
2A2.2D36.6D4.6D4.3D3.3A.3D.3A.2A3.A2.2D.C4D$22.5D18.D2.A.3A.A4.DA5.A
7.A2.2D56.2D3A.A4.D2.2A5.A4.D2.A2.3D$45.D.2A2.2A.A6.A.A4.A5.3A.D56.D
6.A3.D2.2A.2A4.A.3A3.A3D$45.2D7.2A6.A.A.A3.A4.2A58.D.3A2.A2.3A.A3.A.
4A.2A4.AC.D$45.2D2.A.A4.2A.A.2A2.3A.2A.2A.2A58.4D2.3A2.2D2.3A4.A9.A.D
$47.2D.A3.2D6.4A.A4.2A.2A.3D54.4D7.4D2AD2.2A4.6A$47.4D.8D19.3D57.7D2.
5D2.CD3.A.2A.A4.2D$48.5D7.8D2.C6.2A.2D66.9D3.2A3.3A2.2D$68.D.A3.D2.A.
A.2D70.4D2.A4.2A.3A.2D$68.D.A3.A2.A3.2D74.2D2.A.3A.3A2.2D$67.D3.A.A.A
4.A.D74.3D2.3A3.A.A.2D$67.D5.A.A2.3A2D76.D.A5.A2.2A.D$67.2DA3.A2.A3.
3D76.D7.4A.2D$67.2DA3.A.2A2.4D76.D.2A4.A.A2.2D$67.3D.A2.A2.2D80.D2.5A
3.3D$67.4D.A2.4D80.D2.4AD2.3D$69.3D2.3D83.5D.3D$70.5D85.8D6$6.12D16.
5D$6.3D6.4D14.7D55.6D.10D$5.2D.C2.A.A.A3.4D10.2D.AD.4D51.2D4.2D3.2D4.
3D12.5D$4.2D5.2A3.A4.2D10.D.A.A3.2D50.2D2.2A5.A.A2.A2.4D8.2D2.2D.4D$
3.2D2.A2.6A2.3A4D8.D6.A.4D47.2D.6A.2A.2A3.A2.3D7.2D2.AD.5D$4D2.3A2.A
3.A2.A4.8D2.D.A.3A4.3D46.2D2A.A3.A9.2A2.2D6.D.3A2.DC3D$2D3.A5.2A.2A.
2A3.A4.5D4.A.A2.3A2.5D41.D2.2A2.2A.4A.A4.3A3.3D3.2DA.A2.D2A.2D$D.4A3.
2A7.4A.2A3.A.3D3.2A3.4A2.4D41.2D.2A2.2A8.A2.A.2A3.5D3.2A4.A2.6D$2D2.A
5.3A4.2A3.A.A2.A.A5.2A.2A3.A3.AC2D2.6D33.2D2A3.7A6.A.A.A.A3.2D10.A2.D
.3D3.5D$3D4.A4.2A3.2A6.2A3.A3.A.4A2.2A3.AC2D.2D.4D33.2D2.D2.6A.2A4.A
3.2A4.AD2.A.A.A2.2A2.A.A5D2.4D$2.3D3.A.A2.2A7.A2.2A3.A.A3.A2.2A2.A4.A
2.3D.2A2.5D28.12D5.2A5.A.2A2.7A.A2.2A2.3A.4D2.C3D$5.3D5.D.3A4.A2.A4.A
.2A7.A.A.A5.D.D2A6.7D28.7D2.2A8.2A.2A.A4.A3.A.2A.A2.A.D2.A3.A.3D$6.6D
.2D.D2.D2.2A2.2A4.A.4A.A.A.3A2.3A3.2A2.2A.A.6D35.2D2A3.A2.A.A.A3.A4.A
3.A.2A.2A6.D3.A3.9D$13.6D.D.2A6.2A3.2A.2A.A3.3A.A4.3A.2A.A3.DC4D33.5D
.2D4.A.3A.2A.A3.A2.2A4.A.2A4.A3.A2.D4.3D$19.2D3A3.2A2.D5.2A3.2D2.2A3.
2A.A4.A2.A3.A2.3D32.8D.A2.A2.2A8.A3.4D3.2A5.4A2.2A.A.A.D$19.2D2.A2.DA
3.13D2.A3.2A.2A9.A3.A8D34.3D5A4.2D2.A.A2.5D3.A3.C7.A2.4A.D$19.12D4.6D
3.D.A6.A6.3A3.A.2AD.5D34.3D5.4D2.2D3.2D4.2D2.A3.A10.4A2.7D$21.9D14.D
12.2D.2A.2A.A.A4.2A2.2D33.9D4.7D4.2DA5.A2.DAD2.2A12.4D$44.D5.A4.A4.A
2.A2.A2.A7.3D56.D.A.2A.A4.A5.A2.A.A.A.A.A2.2D$45.2D4A.A.A6.3A.A.A6.A.
A3D60.3A3.A4.5A2.A.A.A2.3A2D$45.3DA.7A3.A3.A.A.A.2A.A3.A.D56.D.A7.A.
2A3.2A.A.A.A.A3.2A.D$45.3D2.A4.2A4.A5.4A.2A3.A58.2DA2.3A.DA2.A2.A.A3.
A.A2.2A2.A$46.2D2.A2.D2.4D.5A.2A2.3A.2A3.D55.3D2.DA2.2D3.A.A2.2A4.A3.
2A$48.12D3.2A11.2A2.D55.4D.D.D.6D4.2A3.A6.A2.2D$48.5D6.4D2.2D10.2A2D
59.5D3.5D.3D2.5A3.A2.3D$61.8D3A4.2A3.2D70.4D4.3A5.A2.2D$67.2D.2A2.A.A
.A2.2D74.2D11.A.2D$67.3D2.2A.2A.A.A.D76.D.A3.2A3.2A.D$68.D4.A.2A2.2A.
D76.D2.2A3.A3.A.D$68.2D2.2A2.2A.A.2D76.D.2A3.2A3.A.D$68.D.A.2A.2A2.4D
76.D.2A.2A.A.2A2.D$68.2D2.4A2.4D77.D6.A3.4D$68.2D3.D2.3D80.D2.A3.A2.
4D$70.8D82.3D2A2.2D$160.3D3.3D$161.6D5$9.5D20.5D$9.3D.9D12.5D55.16D$
4.5D2.C2.D2.5D12.2DA.4D51.3D.D.2D5.9D11.5D$4.D11.A2.A.D12.D.A2.D.4D
48.2D.A3.A2.2A.ACD.2D2.3D7.2D3.D.5D$.3D2.3A.A2.7A3.3D7.D3.A.A4.3D45.
2D.A4.5A.ACD.D.A2.3D6.2D2.AD.5D$.2D3.3A15.7D2.D2.7A2.2D45.D14.A3.A2.A
.2D6.2DA.AC2.2A.2D$.2DA.A.3A.2A.4A2.4A6.2D.D.A3.3A2.AD.4D41.D.A3.A.A.
3A6.A3.A.2D5.2DA2.A2.2A2.D$.2DA.A3.A3.A2.A3.2A2.A3.A2.2D.2D3.3A2.A3.
4D40.2D4.A7.A4.2A5.6D3.2A3.3A.6D$.D2.2A3.2A.2A6.3A.A.4A2.D6.3A5.2A10D
33.2D3A.A6.2A4.2A.A.A2.D8.2A4.A3.5D$.6D2.2A3.A2.2A4.2A2.A.3A3.D6.3A4.
A9D33.5D2.A6.A4.A.A2.A2.C2.A.A.A.A6.A.A.A3D2.6D$2.8D2.4A2.A5.A4.2A.A
2.2A2.3A.A3.2A5.3A.4D30.5D3.4A.A2.A6.A3.2A.A.2A2.A.2A4.2A.2A.D2.7D$7.
4D3.3A4.2A.2A.A4.A.A2.3A.A.A.A2.A12.4D32.3D6.3A.A5.A3.A.A.2A4.2A4.A2.
A3.D.D.2A.3D$10.4D2.A4.A2.A.A3.A.A.A2.A.A.A.A3.4A2.A3.3A2.8D28.8DAC3.
2D3.A5.A3.A.A.2A4.5A2.D.D.A.A3.8D$12.8D4.A.A.A2.A2.A4.A2.A6.A.A4.2A3.
2A2.D2.4D32.8D.D2.A.A.A.2A4.A.A.3A2.A.3A.D.D4.A6.5D$14.6D.A2.A2.2A2.D
4.4A.2D5.A2.2A5.3A4.A.A2.2D32.6D2.2DA5.2A7.2A2.D10.D2.5A.2A.A.A3D$19.
2D2.A3.2A2.4D4.D.2D2.2A3.2A2.A5.A.2A.A2.2A.D40.2D6A3.4D.A4.4D2.2A3.D
3.2A3.A5.A.D$19.3D2.D.5D3.8D.2D7.3AD4.A.A.A3.2A2.6D34.2D.3A2.4D2.7D4.
D.A3.3A6.4A2.A3.6D$21.10D12.2D14.A3.2A.A.A4.5D34.3D4.3D4.5D6.D2.2A.2A
8.3A12.2D$45.2D.A.2A8.A5.A.A4.3A4D33.7D17.D2.A2.A3.A3.A3.A2.5A.2A2.3D
$45.D.2A3.A3.A3.4A.A.4A7.2D57.2D.A.A5.2A2.A3.A.A.A.4A.A3D$45.D.2A3.A
3.A3.A2.4A3.2A.2A.2A.D57.2D2A2.A.2A.4A6.A.A.A.A3.A2D$45.3D2.A.2A.DA2D
.2A15.A.2D56.2D2.3A3.6A.A.A3.A.3A2.A2.D$45.4D6.5D.A3.3A2.2A.3A3.2D56.
4D3A2.D4.A.2A.2A.3A2.4A$48.12D2.D.DA6.A2.A2.A.D58.3D2.6D5.2A2.A7.A2.D
$59.6D5.A7.A2.D57.7D3.8D2.A3.A4.A.4D$63.4D2.A.A3.2A4.2D70.6D4.A7.3D$
67.D.A3.2A3.2A.2D74.3D.A7.3A.2D$67.2D2.3A4.A.A.D76.2D.A3.A3.2A2.D$67.
3D4.D5.A.D76.D3.A.A.A3.2A.D$69.D.A5.4A.D76.D4.2A.A3.A.2D$69.2D6.A2.3D
76.D.3A.A.2A.A2.2D$69.2D2A2.2A3.3D76.2D3A2.2A3.3D$69.2D2.AC2.3D79.2D
2.A.A2.5D$69.10D80.2D2.A2.4D$71.6D84.3D2.2D$161.5D!
edit:
hotdogPi wrote:
January 4th, 2025, 12:13 am
I might have been thinking of the Sprayer. I remember someone highlighting areas that were maybe roughly 8×8 or so and appeared multiple (at least five) times.
Here's what I got for the sprayer:

Code: Select all

x = 381, y = 273, rule = LifeHistory
204.6D$7.8D189.10D$9D2.9D183.2D.2A2.5D$3D2.2D2.2A2C3D.4D181.2D2.2A3.C
8D$2DC.A3.A.A2.A2.2A.2D180.2D2.5A2.A7D$2DC4.2A.A3.A3.A2D180.D2.2A2.A.
3A3D2C2D$D5.A2.A4.A.3A2D180.D.3A5.A4.2A.D$D6.2A2.A4.2A3D180.D.A2.A.2A
6.2A.D$.2DC.2A.D2.A3.2A2.2D180.2D.4A6.A2.3D$.3D.8D2.A3.D181.3D.A2.D3.
2A.A.3D$.10D5.A4D181.4D.4DCA.A3.2D$11.3D2.2A.3D181.5D.D.3A4.2D$11.2DC
A3.A3D7.6D174.D.3A2.AC2D7.6D$11.3D2.A.2A.2D6.6D174.2D.2A2.2A.D7.7D$
11.3D2.A2.A2.D5.2D.2A2D174.5D2.2A2.2D.4D2.2A3D$14.D.5A.7D2.2A2D175.3D
4.A2.3D.3D4.A2D$14.D5.A2.D.3D2.A.A.D177.2DC3.2A.D3.CA.A.2A.D$14.2D.3A
3.A2.D.3A4.D176.2DC3.A2.A3.D3.3A.2D$15.3D2A2.2A2.2A7.2D175.4DA.2A2.A.
A6.A2.D$15.4D7.2A.5A2.3D173.4D8.A3.5A.2D$16.4D5.3A6.A.7D171.5D2.A.2A
7.A2.3D$20.2DA.2A.D2.A.2A2.A2.6D174.2DC.2A.A.A2.3A2.7D$20.3DA3.2D.C3.
A.A2.CA.3D174.3DA2.2DC2.A2.A.A7D$20.10D.A.2A.A5.C.D174.9D3.5A.2D2C2D$
21.5D2.4D5.A4.A.D175.9D.D.2A3.D.2A.D$29.6D2.A4.A.D184.3D2.A2.D.2A.D$
35.3DA6.3D182.4D.4D2A2.4D$35.3D.3A3.4D183.7D2A2.5D$36.3D.2A2.CA.3D
187.3D.2A2C4D$37.5D.DA.A3D187.3D2.A2.A3D$38.3D6.C2D188.2D2.A3.A2D$39.
2D.A4.A.D188.2D2.2A.2A.D$39.D2.3A5.2D16.5D165.2DA.2A.A2.D$39.D.2A2.3A
2.3D.8D6.5D165.2D3A2.2A2.3D$39.2D6.3A3D.7D.6D2.A.D165.3D.4A3.3D2.8D3.
8D$39.7D2.A.A2D.2DA.2A6D4.A.2D164.4D3.D2.2A2D2.11D2.D2.3D$45.3DA.A2D.
2DC5.2AD2A.A3.3D165.5D3.2A2.4DCD2C.4D2.C.AC2D$46.2D.2A2.D3.A3.A3.7A.
3D169.D3.A2.4DCA.A2.ACA5.A.D$46.2D8.D3.A.A4.A4.A3D4.10D155.2DA3.A3D8.
D6.A2.3D$47.2D2.A.A2.D.A.A.4A.A2.A2.A.6D2.2D2.6D152.2DA4.AD6.A4.A2.3A
3.D.16D$48.D.A.2A.3DA2.A5.A2.A11.A.CA.A3.2D152.2D6.A2.AC.2A4.2A.4A.A
3.7D4.5D$48.D.A2.A3.D.4A3.A8.4A.2A.3A.A2.A.3D150.3D.2A.2A2.3A2.2A.A3.
2A3.A.A.2A2.DCA.A2.2A.2D$48.2D2.2A6.2A4.A2.2A.2C2A.3A.2A5.3A2.2D152.
2D2A2.2A2.A5.2A4.A6.2A4.A.2A.A2.A2D$48.3D2.A.A.A2.D2.A2.2A.A4.A2.A9.
2A3.A2.3D149.3D.A.4A3.2D.A3.A.A.5A.A8.3A.A2.2D$50.3D4.A.3D2.A.2A2.2A
6.A3.A2.2A.A6.3D2.5D142.5D4.2A.D.D5.4A8.A.A.A.2A6.2D$51.2D2.2AC2D.3D
2.AD5.A2.4A3.A.A.3A.2A2.A10D143.4D3.C3D.D.A3.2A3.2A.A3.A5.A.A3.2A.4D.
6D$53.7D2.2D2.4D2.2A.2A4.3A.A4.3A2.AD2.D2.AD2.7D140.D.C4D.3D2A4.A3.2A
C.A4.2A2.A.A.A3.10D.5D$53.7D4.5D.2D4A.3D3.A2.2D3.3A3.4A2.A3.D.D2.4D
137.6D2.3D3.2D4.A2.D.D2.3A6.2A2.2A2.D2.2A13D$70.4D2.6D2.5D.A6.5A.2A.
2A2.A3.4D135.5D4.9DCDA2.4D.D.5D.D.2A2.2A5.A.2D2.A2.D.3D$70.8D3.5D2.2D
.A2.2A5.2A6.A.3A2.2D151.3DA.2D3.7D2.3D.2A3.A.A3.A8.AC3D$88.4D6.3A3.2A
.A.A2.A.2A.D151.7D13.2D3.A.A2.A.2A3.A.A.2A4.6D$89.3D5.3A2.2A2.A.A6.A
2.3D149.5D15.2D.2A3.2A5.2A3.A2.2A.6D$92.2DCA3.2A3.A4.A4.A5.5D165.2D2.
2A4.7A3.2A3.A2.2C4D$92.2DCA.2A.A4.A4.4D2.A.A3.3D165.2DA.AD4.A5.A9.A5.
2D$92.4D4.A13.2A3.4A2D14.10D141.3DA.D2.A2.A2.2A6.A8.A2D17.6D$92.4D5.
4A.2A.2D7.A.3A.D13.11D141.7D.2A2.A2.2A2.A2.A2.2A.2C2A2D15.3D3.4D$96.
3D2.2A3.A3.3A3.A8.2D11.D2.A.3DC3D141.6D.5A2.4A.A2.A6.A18.2D2.2A.3D$
96.2DCA.2A3.A2.A2.2D.DA5.A2.13D2.A5.AD.4D143.D5.2A3.A.A5.3A6.D.5D7.3D
6A.2D$96.3D2.3A2.3A2.5D3AD4.A.D.D7.2D3.A4.2A2.5D141.2D.2A2.A2.2A9.3A.
A2.3D.9D.2D2.D2.D3.3D17.10D$96.5D.D.3D2.3D2.D.2A.2A4.AD2.3A.AC.A3.6A
3.2A2.3D19.6D116.2DCA3.2A2.2D2.D.2D4.A.A5.A.8D2.A3.D2.A.4D15.4D.2D.4D
$99.12D3.2D2A.2A.2A2.A2.3A.3A.2A5.3A3.3A3D14.6D2.3D116.7D.A2.4DA.D5.A
.A.3A3.D2.2A2.D5.2D4.A2.3D13.3DCA2C2A3D$114.2DCA12.A3.A4.A3.A4.A4.A
10D6.2D5.AC2D116.11D2.2D3.D2.2A4.7A2.2A2.A.A.A4.2A2.A2.2D13.D.A6.A2D$
114.4D8.2A5.A.A2.A4.A3.2A4.A.10D5.D.4A2.A.D122.5D2.4DCA.2A12.A2.A.2A.
2A5.2A3.2A9D6.2D9.D$114.4D2.A2.A.A.2A3.A.2A3.A2.A3.2A10.A.2A3D5.D2.A.
A2.A.D131.4D15.A.3A3.A3.A.A4.A.A2.4D2.3D4.2D2A3.3A.D$118.D11.2A3.A5.
2A2.2A3.CA.3A2.A3.A2.5D2.A5.D.D131.4D2.2A.2DA.A2.A2.4A2.3A3.A2.A2.A3.
A2.D.2A2.4D2.2D2.2A5.D$118.2D2A.A6.AD3.D.A3.A3.A.A2.D2.3A2.A6.5D2.D2.
3A3D135.3D.4A2.3A3.2A3.A.3A2.3A3.2A.A3.3A.A2.D.2D2.D2.A.2A.2D$118.4D
2.A3.A.6D5.2A.A2.A.2D3.A.A2.A2.A.2A3.A2.3D2A3.D135.4D2.A2.2A.AD.4D6.
2A3.2A5.A4.A2.3A2.4D2.2A3.A2D$118.5D2.3A2.3D2.3D2CA.2A.2AC2D.D2.3A.2A
5.A3.A2D.D6.D137.2D2.A3.A2.8D.2A2.A2.DCD7.4A3.A2.A.A2D2.2A2.A.2D$122.
9D5.4D2.2AD.4D.D.2A10.2A.2A2.2D3.2A.2D138.2D.2A2.4D5.2DA3.A2.C5DC4.2A
D3.2A.2A2.A3.A5.D$123.7D6.6D.7D.D4.2A.3D2A.A2.A4.D2.3A.2D138.3D.A.3D
7.2D.A2.C2.6DC4.A.3D.2A.A.3A2.A2.2A2.D$140.6D5.3D2A2.3D4.A.A.2A3.A3.
2A.D139.6D9.4D2.6D.3D.2AC6DCA3.A.A2.A4.A2D$152.7D.D3.2A.A.2A.3A2.DC3D
140.5D10.8D4.10D.2D5.A2.A3.A2.A2D$152.6D.2D.DA.A.A.A2.3A2.C4D169.7D.
2D4.A.A2.4A.3A2D$159.D.3A.A.AD3.2A2.5D177.4D2.2A.A.3A4.4D$159.D3.A4.A
.A3.6D178.2D.2A2.A.A6.6D$159.D.2A.A3.A.A3.2D182.2D3A2.2A.A.A.2D$159.
3D2.CD3.A.A.D184.2D6.A4.A2D$159.5D4.A.2A.D184.3D5.A3.A.2D$162.2D2.A.A
.2A2D186.3DCA.A3.A3D$163.D4.A5D186.2D4.A.2A.2D$163.D.2A.AC4D186.2DA3.
A.C4D$163.2D.2A.3D188.3DA2.2A4D$163.3DA.4D188.4D2.A.3D$164.6D191.3D.
5D$164.5D195.5D10$8.6D190.6D$7.3D2.3D189.6D$.8D.2A8D182.2D2.2C7D$.7D.
4A.D2.4D180.3D8.8D$.2DA2.D2A3.2A3.A.2D180.3DA4.A2.A.7D$.2DA3.2A.A2.2A
3.A2D180.2DC3.DA.A.A3.2A3D$.2D3.A2.2A5.A.A.D180.D.A2.3A2.2A2.A2.A2D$.
3D.A.2A.AD.D4.A.D180.2DA4.A6.3A3D$3.2D.2A3.3D.A.A2.D180.2D.A2.2A4.4A.
3D$3.3D3.6DA4.D180.2D.2A5.2A2.A.3D$4.6D3.2D3A2.2D180.4D.D6.A3.2D$13.D
.3A2.2D180.8DA3.A3.3D$13.D.2A.2A2D7.6D173.2D4.A.2A3D7.5D$13.D.A2.2A3D
5.8D172.3DA.A.A2.A.D7.6D$13.D.2A5.D5.2D.2A3D173.3D6.A.2D6.2DC4D$13.D
2.3A.A7D2.A2.A2D173.4D.2D2A2.9D2.A3D$13.2D.A3.A2.2D.2D2.A.A.2D177.2D
2.3A2.2D.3D4.C2D$14.D2.A2.A.2A2.DC4A3.D177.D.A4.A4.A2.DA2.A.D$14.3DA.
A2.2A2.A5.A.3D176.2D2.3A3.A4.A5.D$15.3D.D10.4A.2D176.6D3.A.2A3.2A.A2.
2D$15.6D3.A2.3A4.A.4D175.5D7.2A6.3D$21.D.3A5.A.2A2.7D175.2DA2.2A.A3.A
.2A8D$21.2D2A3.D.A3.A.ACD.D.4D173.3D2CD2.A2.A4.C.7D$21.10D2.2A.2A2.DA
.3D173.6D.D.D.DA3.A3.2A3D$21.6D.4D4.2A3.3A2D174.9D.DA3.A2.A2.C2D$31.
4D2.2A5.2D183.4DA4.A2.A2.2D$34.3D.4A4.2D181.4D2.D2.A2.A2.3D$35.2D2.A.
A2.5D182.8DA2.2A4D$36.2D.A.A2.2A.3D186.3D.5A.3D$37.2D4.DA.A.2D187.2D
5.2A.2D$37.3D6.2A.D188.2D.2A.A.A2D$39.D2.A6.D188.D2.D3.2A.D$39.D4.2A.
A2.2D186.2DA$39.D.2A.4A2.3D2.5D7.5D166.2DC5.A2.3D$39.3D3.D3.A17D.D.4D
164.3D.5A2.4D.12D.6D$39.7D4.A.5DCD.2D.3D2.DA4D164.4D.2A3.AC3D.12D.2D.
4D$46.2DA.2A.3DADC3.A.CA2.A2.A.2D165.4D6.A2D.2DCD2CD.DC5D2A.2D$46.2D.
2A10.A.3A3.3A.2D166.5D3.2A5DCA.A3.A2.D3.2A.D$46.2D2.A6.2D2A.A9.AD.13D
158.2DC4.2D8.2A5.2A2.3D$47.D3.A.A.3D2.A.3A2.2A2.A3.8D.D.7D153.D5.A6.
2A4.4A5.18D$48.2DA2.2A3.A5.2A.A8.2AD2.2A2.A2.6D152.3D2.A.A2.A2.2A3.3A
4.2A.A.8D.D3.4D$48.2D4.A4.A2.A3.2A.3A.A.A4.A4.A.A.DC3D153.D.4A2.A3.4A
.A2.A4.A.A2.2AD2.2A.2A.2A3D$48.3D.2A5.A5.2A.3A2.A5.A.4A.A3.AC.2D152.
2DA8.A2.D2.A4.A12.A.2A4.A.2D$50.2D3A.A2.D.2D6.A2.A.4A.A.2A3.A7.D152.
2D.A.2A6.D2.2A2.A3.5A.2A3.2A4.2A2.3D$50.2D2.2A.2A3D.D4.A.A5.A2.A4.2A
5.2A2.7D145.4D3.A2.A.3D4.A3.A4.2A.A.A3.2A2.A2.A.2D$50.4D2.2A.2D2.2DCA
CD2.A.4A.2A.A.A.A.3A2.A5.9D141.4D.D.2AC2D.2D.A.2A2.2A.A.2A.3A.2A.A.2A
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2.2A6.2A.A.A4.D.11D$54.6D3.8D.A2.2A3.D2.2A8.A2.2A4.D2A.3D4.4D136.7D2.
9D.2A.AD.2D2.3A9.3A4.2A.11D$54.5D11.3D2CD.8D2.D2.A2.2A.2A5.2A2.D2.3A
2.3D144.5D3.D2.A.4D.2DA.D2.D.DA4.2A4.3A2.2D5.4D$70.9D2.6D.2D2.2D3.A4.
A4.A.A.4A.2D152.D.A2.3D2.2D2.3D.2D.4A2.2A.2A.A3.A.A.2A.3D$71.6D11.4D
5.A2.A3.4A.4A.2A2D152.6D4.5D3.3D.A.2A.A.A2.A2.3A.3A2.A3D$92.3D2.A3.A.
A2.4A3.A.AD.6D146.5D14.3D.A4.2A12.A.A2.D$92.2D2A4.2A.3A9.A2.D2.4D165.
D4.A4.5A2.A2.2A2.2A2.6D$92.2D3A.A.2A12.A4.3A3D166.D2.2A3.2A5.A4.A9.3D
$92.4D3.2A.5A2.3D2.DA.2A3.C2D166.2DC4.A.2A2.A10.3A.A.A.D$92.7D.A2.A.
3A3.A3.A6.A.D13.11D142.5D.A4.2A4.2A.3A5.A.A2D16.8D$97.2D7.A3.2A5.A4.C
.D3.5D5.5D2.5D141.6D.A.A3.2A4.A3.A3.A.2A17.3D3.4D$98.D6.2A.4AD2.2A8.
13D2.2A3.2A2.4D142.2D.A4.3A3.A3.D2.2A.2A3.4D11.2D.A2.A.2D21.8D$98.2DC
A.A2.3A3.3DC2.2A5.2D.2DC2.D2.2D5.2A.2A2.5D141.2D.5A.3AC2.5D.5A4.2D3.
6D.2D.6A.3D18.3D2.D.3D$98.3D.AD3.A.5D.A4.2A.ACA3.A.A.A2.2A2.4A3.A.2A
2.3D15.10D115.2D.2A3.2A2.4D2.2D2.A.A.2A.A.7D.4D11.4D15.2D.4A.2D$98.6D
2.5D2.2DA3.3A2.D11.6A4.A3.3A.2D14.3D.D2.5D115.3D3.D2A2.3D4.D4.A3.A8.
2A5.A2.D2.3A2.4D13.2D.6A.2D$100.10D3.3D3A2.3D2.2A.4A3.2A.A3.A.2A.2A.A
.A2D.7D6.2D.2A2.2A.2D115.11D7.D.3A3.2A2.4A.A3.2A.A3.D2.3A.2A.3D12.D2.
6A.2D$113.5D8.3A4.A.A2.2A2.2A2.A.A7.2D3.3D6.2D2A.2A.2A2D120.6D7.2D3A
5.5A.A4.2A.A3.D.A.A2.A.A10D5.D.2A5.A.D$114.5D2.D.D3.2A2.3A.2A4.3A.A2.
A3.2A5.A.A.3D4.2D3.A4.2D133.2DA.A10.2A12.2A.A2.A.2A2.8D4.2D.2A3.A2.D$
118.2DC2A.A4.3A2.3A3.3A2.A5.D2A.A.2A2.A3.3D2.3D.2A.A2.2D133.2D2.3A.2A
.A.A2.A3.3A4.2A2.A2.A3.A3.C.AC2.3D2.3D3A3.A$118.3D8.3A8.A2.3A.A3.DA3.
4A3.A2.6D.D.A.A.D135.3D.3A.A4.2A.A2.A2.A.A.A.2A5.A2.2A2.A3.A2.4D.3D4.
A2.D$118.4D2.4A2.6D2.2A4.A2.2AD6.A2.A4.2A4.4D.A.A2.D136.3D5.A2.A2.4D
7.2A3.A4.A.A5.2A.A5D6.A.A.D$122.2D.3A2.4D2.2D.2A4.3A2D.2D3.4A.3D5.2A.
3D.2A2.D136.4D.A.A.2AD.6D2.2A2.2A.A2C7.A2.A5.DA8.A4.D$122.3D.A.2D6.3D
A.4A.A.5D2A3.A.D.D2.5A6.A.A.2D138.2D.3A.4D5.2DA2.3A2.5D7.A2.A3.A3.A3.
4A2.D$123.7D7.2D8.3D.2DA2.A2.2D.D2.A4.AD4.A3.2D138.2D.2A.4D6.3D4.9DA.
A.2AD2.A3.A.A.2A.2A2.A2.2D$124.5D8.12D2.3D.2A.4D.A.A.A2.2A2.2A3.A.D
139.7D8.10D4.2D2.2A.2D2.D3A2.A.3A.A.A.A.2D$151.4D2.2D6.A.A4.A2.A.A2C
2D139.6D23.3D.A.6D5.A.2A3.2A.2A2D$153.6D2.D.A.A.A.2A7.4D170.8D4.2A.A
4.6A3D$160.D2.A3.A.A.2A.A2.5D170.5D.2D4.2A.A.A3.D2.A.3D$160.D6.2A2.A
4.D181.2DA.2A3.A3.A5.3D$160.2DA.A3.A.2A3.2D181.2DC.A2.A7.6D$160.3DC4.
A2.A2.D183.3DA4.A2.3A$160.4D3.2A3.A2D183.4D4.2A2.2A2D$161.3D4.A.2A.2D
184.2D5.A3.A.2D$163.2D2A.A.C4D186.2DA2.A.2A2.2D$163.D.2A.AC4D187.2D2.
2A.2A.2D$163.D4.A4D188.3D.2A.4D$163.3D2A.3D191.3D2A4D$164.7D192.3D2.
2D$164.6D194.6D10$7.8D$6.4D.5D$5.2D2.A2.C4D190.7D$4.2D2.2A3.A.6D180.
9D2.8D$4.2D.A6.A7D178.8D.A.A3.6D$3.2D.A3.5AD2.A.2D178.2D.2AD2.A.A.2A
2.2C3D$3.D2.A3.2A6.2A2D178.D.3A3.A2.2A2.A2.C2D$3.2DA2.A.AD4.A.A.2D
178.2D.2A.A2.A2.2A3.A.2D$3.2D.3A.3D3.A3.2D178.2D.3A.2A3.2A3.A3D$3.5D.
4D.2A.A.2D180.2D.2AD5.A3.A.2D$4.7D.2DC2.C4D179.4D.4D.A.3A3.D$12.D.A5.
2D180.6D.2D2.2A4.2D$12.D.A4.A2D7.6D174.3D.2A.2A3D$12.2DA3.2A.D6.8D
175.3D3A.A.2D7.5D$12.2D.A6.D3.3D2.2C3D175.3D2.A.A.2D7.6D$12.3D4.A2.6D
2.A2.C2D176.3D.A2.C3D6.2DC3D$13.2D.A.A.A2.4D.A3.A2.D178.D2.3A.8D2.2A
2D$14.2D5A.2AD.D4A.A181.2DA3.A2.3D.2D5.D$14.3D.A2.3A3.2A4.C3D177.2D2.
2AD2.A.A2.A.2A2.2D$14.3D6.A3.7A.2D177.3D.AD3.2A2.A.A3.4D$16.6D.3A2.2A
4.A2.3D176.5D2.A3.7A.3D$21.D3.A2.3A2.2A2.7D172.5D.3A2.A6.A.7D$21.D.A.
A2.2D2.A3.2AD.5D175.2D3A.A3.3A2.A2.6D$21.3D.6D2.2A3.A.DC3D175.4D2.4D
2A2.3A2.2A.3D$21.7D2.3D2.A5.2A2D175.10D2.A.A3.A2.A.2D$31.4D.A7.D183.
5D4.6A.3D$33.3D.A3.A3.3D182.6D2.4A3.3D$34.5D.D2A3.4D185.3D.A4.A.2D$
35.7D2.2A.3D186.2D2.2A3.A.2D$39.3D2.A.2A2D187.2D.A6.2D$39.3D3.3A.D
188.D4.2A.A.D$39.3D3.A.A.2D187.D2.A3.2A.D$39.2DCA.A2.A2.D188.D5.2A.2D
$39.3D.2A2.2A.4D.5D179.D.A.2A.A2.3D$39.3D3.2A2.D.3D.19D165.2D.A3.2A2.
3D.8D5.7D$41.4D.3D.2A2D.2DA2D3.3D.D3.4D164.2D.A6.A.2D.12D.7D$43.4D4.A
.D.2DAD3.A2.A2.A2.A.2D165.7D.A.A2D.2DC.2A3.D2.D2.3A2D$47.2D5.D4.3A3.A
3.4A.D165.5D.2D.2A.4D2A.A2.2A10.D$47.D.3A2.D4.2A4.A2.2A2.A2.14D157.2D
.A3.D4.3A2.5A.3A2.D$47.3D5AD4.A.A.5A7.18D158.A2.2D2.2A2.A3.A2.A.A2D5.
12D$47.3D2.3A4.A.2A.2A3.A.2A3.AD3.A4.A2.5D153.D5.A.2D.A4.2A3.A2.2A2.
12D2.4D$48.2D2.A.A3.2A4.A6.2A.A.A3.A4.A4.2A.2D152.2DC.2A2.2D.A2.A2.A.
A4.2A3.D.D3.2AD2A2.C3D$50.2DA2.A5.2D2.2A6.A4.2A3.2A.2A2.2A.2D152.2DC
3.A3.D.4A.2A2.A2.A3.2A4.A3.3A2.A2.2D$50.2DA3.3A2.4D2.A3.A.5A.A.A4.A3.
A.A.2D151.4D2.A9.3A4.6A.3A.2A5.3A2.2D$50.3D.A3.A.D2.D2.7A6.A.A.3A.2A
2.2A2.6D146.4D.D3A.A.2D.D2A.A3.A9.A4.2A4.2A.4D$50.4D4.A2D3.2D2A6.3A.
3A.2A.A.A.5A2.11D2.5D137.2D2.3A2D.2D3.2A2.3A5.A.3A5.A.3A2.11D$52.4DAC
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4.A.2A.A3.C5D2.3D$54.7D3.8D.3A3.2D2.CA4.A3.A7.D.AC.3D2.A2.4D135.7D3.
8D.2A.2AD4.A.2A8.ADC4.A.AD.9D$54.6D4.5D.3D3A2.6D.8D3A2.A3.A.A5.A3.4D
136.5D4.5D2.2D.2A.2D4.A2.2D.D2.2A10.AD2.D2.5D$71.7D3.13D3.2A8.A.A4.2A
.2D151.3D2.4D.8D.2D2A4.4A2.2A2.A.A.2A2.2D$71.7D13.D4.3A2.5A9.A.6D148.
6D3.5D4.2DC3.3A3.2A3.2A.A5.3D$92.2D2.A4.A.A5.A.3A.2A3.4D165.3D.A.2A.
2A4.2A.3A2.A.A.2D$92.2DA2.A.A3.6A3.D2.A4.A.3D164.3D3.A2.A2.3A6.6A2.3D
$92.2DA.A9.A7.3A.4A.3D165.2D.2A8.2A4.2A2.A4.D.4D$92.2D.A6.2A3.A3.D2.
3A.3A.A.2D166.2DA3.A.4A6.2A4.A.A4.2D$92.5D.DC4A3.A2.2A5.2A2.3A2D16.8D
142.3D2.2A.A.2A.A3.9A.A.2A.D14.10D$93.6D5.A3.A3.A2.A10.D.5D8.3D4.3D
141.4D.3A2.A2.A2.A.4A3.2A2.A2.D14.4D3.3D22.6D$97.2D6.A2.A2.A3.4A7.D.
5D.5D2.2D.4A2.3D142.D2.A8.3A6.A8.2D12.2D2A2.2A2D20.3D.6D$99.2DCA2.A4.
A3.2A3.2A3.A2.D2.A.7D2.2DCA2.2A2.4D140.3DA2.2A4.2A2.4D.A5.A2.11D3.D.
6A2.3D17.2D2.CA2.2D$99.2DCA2.DC2A2.2D.3A.A2.2A.A5.A.2D.DA.3D2.3A.4A2.
2D15.12D114.2D.A2.A4.A.3D2.3D2A3.3AD2.2D2.D2.4D2.4A4.D.3D15.2DA4.A.2D
$99.9D.5D.A.3A.2A.3A.2A5.A4.D2.4A5.A.2D14.2D2.D2.D.3D114.3D3.D.2A.4D
3.D2.A2.3A2.A2.2A.2DA2.D9.A.2A2.4D12.2D9.D$99.12D.3D.5A5.A2.4A2.A5.A.
4A.2A.A2.9D7.D.8A.D115.7D2.4D4.D2.A2.A2.2A5.4A.3A.2A4.A4.2AD.2D12.D8.
A.D$113.2D2.A15.A.A2.4A4.A.A4.A.4D2.4D5.D.2A.2A.2A2D120.6D6.2DA3.A3.
3A5.A3.2A6.2A4.A.2A9D5.D.A3.A2.A.D$114.4D3.A2D2.A4.A.A3.A.A5.3A4.3A3.
A.A2.4D3.2D.A3.2A.2D132.2D.A6.A6.2A2.A2.A4.3A.4A.2A2D.2D.5D3.2D3.A2.
2A.D$115.5D.A11.2A.A3.A4.A5.A2.A7.A4D3.2D2.2A3.3D132.3D4.A.2A2.2A2.2A
2.4A3.A3.A2.3A5.DC.A.3D3.3DCDA2.2A$119.2DA.2A.A.2A.A3.A4.A.2A.A.2A3.
2A.A3.2A2.DC2.4D4.A.2A2D134.4DA.A.A.A2.3A4.A.2A2.A2.A7.A.A3.2A.2AD.2D
2.2D.A3.2A.D$119.3D2.A2.2A.AD2.2D2.A4.A4.A6.A4.A3.A4.4D2.A.2A2D136.2D
.7A.2A2.3D4.3A3.A.A.D.D2.AC4.3A2.4D6.2A.2D$119.3D2.A6.6D4.2A3.2DC3D3.
2A2.A.3DA2.A.AC2D2.A2.A.D136.4D5.2A2.6D2.2A6.2A4D7.4A.A3.2D3.A5.D$
122.3DC2A2.3D3.3DA.4A.2C5D4A.2A.4D4A6.2A4.D136.3D.A3.A.4D4.2D2A.A.2A.
A3D.2D2.2A.A5.2A2.3A.A3.A2.2D$122.8D7.3D2.2A2.7DA2.2A2.3D2.A4.2A4.2A
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Last edited by confocaloid on January 4th, 2025, 12:20 am, edited 1 time in total.

hotdogPi
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Posts: 2203
Joined: August 12th, 2020, 8:22 pm

Re: Spaceship Discussion Thread

Post by hotdogPi » January 4th, 2025, 12:13 am

I might have been thinking of the Sprayer. I remember someone highlighting areas that were maybe roughly 8×8 or so and appeared multiple (at least five) times.
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196

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