Larger than Life

[breaker's glider gun]

poke out the yeti's eyes, and it can't see where it's going!

Code: Select all

x = 58, y = 58, rule = R25,C2,M1,S850..1324,B765..1700,NM
26b7o$24b11o$23b14o$21bob12ob2o$22b13o$21bob14o$21b17o$20b19o$20b19o$
19b21o$19b22o$18b23o$17b25o$17b26o$16b28o$15b30o$14b32o$12b16o2bob15o
$11b17o5b16o$9b16ob5o2b17o$7b16o3bob2o4b17o2bo$3bob17o5b4o2b19o$4bob15o
7b3ob21obo$2b18o4bo4bo2b21ob2o$b19o3bo7b23obo$b18o11b24ob2o$21o10b27o
$20obo10b26o$17o2b4o10b8ob16o$17o2b5o9b8o2b15o$18obob2o2bo9b6ob16o$17o
7b3o8b23o$18o4b6o7b23o$b19ob9o5b22o$b29o5b19ob2o$2bo2b48o$2b2ob48obo$
3bo2b46o$7b44o$9b41o$10b39o$12b16o3b17o$13b16ob17o$14b32o$15b30o$16b28o
$17b26o$18b24o$18b23o$19b21o$20b19o$21b17o$22b15o$20bo3b11o$22b2o2b8o
2bo$23b12o$25b10o$26b7o!

Code: Select all

x = 58, y = 58, rule = R25,C2,M1,S850..1324,B765..1700,NM
26b7o$24b11o$23b14o$21bob12ob2o$22b13o$21bob14o$21b17o$20b19o$20b19o$
19b21o$19b22o$18b23o$17b25o$17b26o$16b28o$15b30o$14b32o$12b16o2bob15o
$11b17o5b16o$9b16ob5o2b17o$7b16o3bob2o4b17o2bo$3bob17o5b4o2b19o$4bob15o
7b3ob21obo$2b18o9bo2b21ob2o$b19o11b23obo$b18o11b24ob2o$21o10b27o$20ob
o10b26o$17o2b4o10b8ob16o$17o2b5o9b8o2b15o$18obob2o2bo9b6ob16o$17o7b3o
8b23o$18o4b6o7b23o$b19ob9o5b22o$b29o5b19ob2o$2bo2b48o$2b2ob48obo$3bo2b
46o$7b44o$9b41o$10b39o$12b16o3b17o$13b16ob17o$14b32o$15b30o$16b28o$17b
26o$18b24o$18b23o$19b21o$20b19o$21b17o$22b15o$20bo3b11o$22b2o2b8o2bo$
23b12o$25b10o$26b7o!

[yujh]

hint: they are going to nowhere. Thwy all stabaloze as period two oscillators.

[breaker's glider gun]

hint: they are going to nowhere. Thwy all stabaloze as period two oscillators.

yeah, but they stumble a lot more without eyes than with.

haha look at this one:

Code: Select all

x = 53, y = 53, rule = R25,C2,M1,S850..1324,B765..1700,NM
19bo11bo$16b2o14b3o$14b18ob5o$12b28o$10b31o$8b35o$7b37o$6b39o$5b42o$5b
43o$4b44o$4b45o$3b47o$3b18o9b20o$2b17o12b20o$2b16o15b18o$b16o3b2o12b18o
$b15o3b4o12b17o$2b13o5bo2b2ob3o2b2o3b14obo$ob12o3bob5o2b2o3b3o3b13o2b
o$2b12o2b4ob4ob3o2b4o3b13obo$2b11o3b2ob3ob2o2b2o3b3o3b13o$2b11o4bob2o
2b3obo11b12o$2b11o5b5ob2ob2o2bo7b12o$2b11o5bob5o2b2o10b12o$2b11o9b2ob
2o12b12o$2b11o5b3o4bobobo9b12o$2b11o5b7obobo10b12o$2b11o5bob2ob2o2b2o
9b13o$2b11o13bo11b13o$2b12o24b13o$ob13o3b3o2bo13b14obo$bob12o3b4o14b16o
$b15o3b3o13b17o$b16o3b2o12b18o$2b16o15b18o$2b17o13b19o$2b18o11b20o$3b
19o6b22o$3b47o$4b45o$5b43o$5b42o$6b40o$7b38o$8b36o$8b35o$9b33o$11b30o
$12b28o$14b4o2b18o$16b3o13b3o$19b2o10bo!

it falls prone, but spends the turn to get up!

[pipsqueek]

is this c/4d known?

Code: Select all

x = 6, y = 5, rule = R2,C0,S,B4
bobo$o3bo2$o4bo$4bo!

also, what are some 2-state range-2 totalistic Moore neighborhood rules known to be Turing complete?

[Dean Hickerson]

I just ran across this post from last June:

Updated summary of my old rule, discovered in 2001, which I call SpaceColony (R3,C0,M1,S14..26,B8..9,NM):
...
BTW, this naturally occurring thing seems unbreakable and serves as a universal eater:

Code: Select all

x = 22, y = 26, rule = R3,C0,M1,S14..26,B8..9,NM
9$8bo6bo2$10b4o$5bo3b6o3bo$8b3o2b3o$7b3o4b3o$7b2o6b2o$7b2o6b2o$7b3o4b
3o$8b3o2b3o$5bo3b6o3bo$10b4o2$8bo6bo!

[/code]

It's not quite unbreakable; here it's destroyed by 2 spaceships:

Code: Select all

x = 61, y = 22, rule = R3,C0,M1,S14..26,B8..9,NM
3bo6bo2$5b4o$o3b6o3bo$3b3o2b3o$2b3o4b3o$2b2o6b2o$2b2o6b2o$2b3o4b3o$3b
3o2b3o$o3b6o3bo$5b4o2$3bo6bo3$20b2o35b2o$17b2o4bo30b2o4bo$17b2o35b2o$
17b2o35b2o$17b2o4bo30b2o4bo$20b2o35b2o!

[Yoel]

You are right. This can be done by signal circuitry as well. If there is a simple synthesis for this thing, it could be then used as a bit of information:

Code: Select all

x = 329, y = 241, rule = R3,C0,M1,S14..26,B8..9,NM
29$215bo6bo41bo6bo2$217b4o45b4o$212bo3b6o3bo35bo3b6o3bo$215b3o2b3o41b
3o2b3o$214b3o4b3o39b3o4b3o$214b2o6b2o39b2o6b2o$214b2o6b2o39b2o6b2o$
214b3o4b3o39b3o4b3o$215b3o2b3o41b3o2b3o$212bo3b6o3bo35bo3b6o3bo$217b4o
45b4o2$215bo6bo41bo6bo62$184bo3bo$183bo5bo$182bo4bo$184b5obo$185b2obo$
184b5o$168bo5bo10b2o$166bo$165bo3b4o12bo3bo$168b6o3bo4bo$164bo2b3o2b3o
7bo6bo$166b3o4b3o6bo6bo$166b2o6b2o7bo$166b2o6b2o7bo$166b3o4b3o8b4o$
167b3o2b3o2bo6b4o$164bo3b6o$169b4o3bo43b2o$175bo47b2o35bob3o$167bo5bo
49b2o33bo6bo$212b2o2b2o5b2o33bo2bo3bo$212b2o2bobo4b2o36bob2o$158bo2bo
45bo6bobo3b2o37bob3ob2o$156bo59bo$158b3o2bo5b2o13b4o17b2o7b3o40bo6bo$
157b2obo12b2o9b4o17bo7bo47b2o$156bob4o11b2o13bo18bo3bo$158b4o2bob2o5b
2o13bo19b2o$156bobobo12b2o8bo5bo18b2o$168bo2b2o10bo5bo$157bo4bo6b2o17b
o$186bo$186bo5$52b2o46b2o$50bo4b2o41bo4b2o$55b2o46b2o$55b2o46b2o$50bo
4b2o41bo4b2o$52b2o46b2o9$182bo5bo2$181bo3b2o2bo$183b5obo$183bob2o2bo$
183b5obo$181bo2bo$182bo4bo$183b3o3$205b4o45b4o$205b4o45b4o2$204bo4bo
43bo4bo$204bo4bo43bo4bo2$205bo2bo45bo2bo2$188bo2b2o44bo2b2o$187bo6bo
24bo4bo11bo6bo24bo4bo$190b3o2bo29bo13b3o2bo29bo$189b2obo2bo22bo2bobo2b
o11b2obo2bo22bo2bobo2bo$190b4obo24b4o15b4obo24b4o$190b4o24bob4o15b4o
24bob4o$187bo2bobo2bo22bo2bob2o11bo2bobo2bo22bo2bob2o$188bo29bo2b3o13b
o29bo2b3o$189bo4bo24bo6bo11bo4bo24bo6bo$221b2o2bo44b2o2bo4$206b2o47b2o
2$202bo8bo39bo8bo$205b4o45b4o$201bo2b6o2bo37bo2b6o2bo$203b3o2b3o41b3o
2b3o$202b3o4b3o39b3o4b3o$202b2o6b2o39b2o6b2o$202b2o6b2o39b2o6b2o$202b
3o4b3o39b3o4b3o$203b3o2b3o41b3o2b3o$200bo3b6o3bo35bo3b6o3bo$205b4o45b
4o2$203bo6bo41bo6bo!

I just ran across this post from last June:

Updated summary of my old rule, discovered in 2001, which I call SpaceColony (R3,C0,M1,S14..26,B8..9,NM):
...
BTW, this naturally occurring thing seems unbreakable and serves as a universal eater:

Code: Select all

x = 22, y = 26, rule = R3,C0,M1,S14..26,B8..9,NM
9$8bo6bo2$10b4o$5bo3b6o3bo$8b3o2b3o$7b3o4b3o$7b2o6b2o$7b2o6b2o$7b3o4b
3o$8b3o2b3o$5bo3b6o3bo$10b4o2$8bo6bo!

[/code]

It's not quite unbreakable; here it's destroyed by 2 spaceships:

Code: Select all

x = 61, y = 22, rule = R3,C0,M1,S14..26,B8..9,NM
3bo6bo2$5b4o$o3b6o3bo$3b3o2b3o$2b3o4b3o$2b2o6b2o$2b2o6b2o$2b3o4b3o$3b
3o2b3o$o3b6o3bo$5b4o2$3bo6bo3$20b2o35b2o$17b2o4bo30b2o4bo$17b2o35b2o$
17b2o35b2o$17b2o4bo30b2o4bo$20b2o35b2o!

[FWKnightship]

W110 simulator in Bosco:

Code: Select all

x = 967, y = 836, rule = R5,C0,M1,S34..58,B34..45,NM
646b4o$644b8o$644bo3b5o130b2o$643bo5b4o128b6o$642b3o5b3o127b2o2b5o$
643b3o3b4o127bo4b5o$643b4ob5o126b2o5b4o$644b8o127b3o4b4o$644b7o128b4o
2b5o$645b5o130b9o$647bo133b6o$781b6o$782b4o10$626b3o$362b5o258b5o$361b
2o2b3o256bo2b5o131bo$360b2o3b4o126b4o124b2o3b5o129b4o$360bo4b5o124b2ob
3o122b3o4b4o127b2ob5o$360b2o3b5o123bo3b5o120b3o4b4o127bo3b5o$360b9o
123b2o3b5o121b3o3b4o126b2o4b4o$361b8o123b2o3b5o121b9o127b2o5b4o$361b7o
124b10o122b7o128b3o3b4o$362b5o126b9o122b6o129b4ob5o$493b8o125b3o131b8o
$494b6o260b7o$495b4o262b5o10$344bo$342b5o$341b2o2b4o$341bo4b4o125b4o$
340b2o4b4o124b2ob4o$340b2o4b4o123b2o3b4o$341b9o123bo4b4o$341b8o124bo4b
4o$342b6o125b9o$342b5o126b9o$474b7o$475b5o$476b2o17$293b4o$291b7o$290b
5o2b2o$289b4o5b2o$289b4o5b2o$289b4o4b3o$289b5o2b3o$290b9o$292b6o$292b
6o$293b4o8$599b5o$599b6o$598b8o$598b9o$597b3o3b5o$597b2o5b4o$26b2o570b
o4b5o$25b4o569b2o3b4o$24b2ob4o568b2ob4o$23bo4b4o568b4o$22b2o5b4o$22b2o
5b4o$22b3o4b4o$23b3o2b4o$23b8o$23b7o288b3o$24b5o288b5o$26b2o288b7o$
315b8o$314b5ob4o$314b4o4b3o$314b4o4b3o$281bo32b4o5bo$142b3o135b4o30b6o
2bo$141b6o132b7o30b6o92bo$140b9o129b10o30b3o92b4o$139b2o3b5o128b2o4b5o
124b7o$3b4o132bo5b5o127bo6b4o123b9o126b3o$2b2ob4o130bo5b5o127bo6b4o
122b2o4b5o124b6o$b2o3b4o129b2o3b5o128b2o4b5o122bo6b4o123b9o128b2o$bo5b
4o129b9o129b10o122bo6b4o122b2o3b5o126b7o$2o5b4o130b6o132b7o124b2o4b5o
122bo5b5o124b9o$b2o3b5o131b3o135b4o127b9o123bo5b5o124bo2b6o$b9o271bo
130b7o124b2o3b5o124b2o3b5o$2b7o404b4o127b9o124b2o3b5o$2b6o406bo130b6o
127bo2b6o$3b4o539b3o129b9o$679b7o$681b2o7$641b2o$640b5o$639b8o$638b2o
2b6o$637b2o4b5o$636b2o6b5o$636b3o5b5o$636b4o4b4o$637b4o2b4o$638b8o$
638b7o$639b5o$640b3o156$278bo$276b6o$275b2ob6o$275bo4b4o$274b2o4b5o$
274b2o5b4o$274b3o3b5o$275b9o$275b8o$275b7o$276b5o12$258b2o$257b4o$256b
ob5o$255bo4b4o$254b2o4b5o$254b3o4b4o$254b3o3b5o$255b9o$255b8o$256b6o$
256b5o37$636bo$358b3o135b4o134b4o135b3o$356b6o132b7o131b7o132b6o$354b
9o129b10o129b9o129b9o$354b5o3b2o128b5o4b2o127b5o4b2o128b5o3b2o$354b5o
4bo128b5o5bo127b4o6bo128b5o4bo127b3o$354b5o4bo128b5o5bo127b4o6bo128b5o
4bo126b6o$354b5o3b2o128b5o4b2o127b5o4b2o128b5o3b2o125b7o$354b9o129b10o
129b9o129b9o125b9o$356b6o132b7o131b7o132b6o125b5ob4o$358b3o135b4o134b
4o135b3o126b4o4b2o$636bo265b4o4b3o$902b4o5bo$902b5o3b2o$903b8o$906b3o
10$884b3o$883b5o$882b7o$881b8o$880b5ob4o$880b4o4b3o$880b4o4b3o$880b4o
5bo$880b6o2bo$882b6o$884b3o12$566b3o$564b6o$564b7o$563b8o$563b9o$563bo
bo2b4o$563bo4b4o$563b2o3b4o$564b2o2b3o$565b4o127$560b2o$559b4o$558b2ob
5o$557bo4b5o$555b2o6b5o$554b4o5b5o$554b4o5b5o$554b5o3b5o$555b4o3b4o$
174b6o375b10o$174b6o376b8o$173b8o376b6o$173b8o377b4o$172b10o$172b3o4b
3o$172b3o4b3o$173b2o4b2o$174b2o2b2o$175b4o8$928bo$926b5o$925b7o$924b8o
$923b5ob4o$923b4o3b3o$923b3o5b3o$923b4o5bo$923b5o3bo$924b8o$926b4o39$
960bo$958b5o$957b2ob5o$956b2o3b5o$956bo5b4o$955b3o5b4o$956b3o3b4o$956b
4ob5o$957b8o$957b7o$958b5o2$374bo414bo$234b4o134b4o135b3o135b4o134b4o
134b2o$232b7o131b7o132b6o132b7o131b7o130b7o$230b10o129b9o129b9o129b10o
129b9o128b9o$230b5o4b2o127b5o4b2o128b5o3b2o128b5o4b2o127b5o4b2o126b6o
3bo$230b5o5bo127b4o6bo128b5o4bo128b5o5bo127b4o6bo126b5o4b2o$230b5o5bo
127b4o6bo128b5o4bo128b5o5bo127b4o6bo126b5o4b2o$230b5o4b2o127b5o4b2o
128b5o3b2o128b5o4b2o127b5o4b2o126b5o3b2o$230b10o129b9o129b9o129b10o
129b9o128b9o$232b7o131b7o132b6o132b7o131b7o130b7o$234b4o134b4o135b3o
135b4o134b4o133b4o$374bo414bo9$924b2o$922b6o$921b2o2b5o$921bo4b5o$920b
2o5b4o$920b3o4b4o$920b4o2b5o$921b9o$922b6o$922b6o$923b4o30$174b6o$174b
6o$173b8o$173b8o$172b10o$172b3o4b3o$172b3o4b3o$172b3o4b3o$173b2o4b2o$
174b2o2b2o$175b4o4$319bo$318b4o$316b8o$315b2o2b6o$315bo5b4o$314b2o6b4o
$314b3o5b4o$314b4o3b4o$315b4ob5o$315b8o$316b6o$317b4o75$132b6o$132b6o$
131b8o$131b9o$130b3o4b4o$130b3o4b4o$131b2o3b5o$131b2o2b5o$132b2ob3o$
133b4o13$153b4o$152b6o$152b7o$151b9o$150b4o3b4o$150b3o4b4o$150b2o5b4o$
151bo4b4o$152b8o$153b5o$154b2o!

[pipsqueek]

a W110 simulator could probably be built in this rule

Code: Select all

x = 166, y = 211, rule = R3,C0,S5,B6
32bo$29bo$29bo$29bo$29bo$29bo$29bo$32bo20$b6o43bo6bo3$o6bo43b6o19$86bo
$25bo57bo$28bo54bo$28bo54bo$28bo54bo$28bo54bo$28bo54bo$28bo57bo$25bo
67$157bo6bo3$158b6o26$135bo$138bo$138bo$138bo$138bo$138bo$138bo$135bo
18$108bo6bo3$109b6o$159b6o3$158bo6bo18$138bo$135bo$135bo$135bo$135bo$
135bo$135bo$138bo!

unrelated, a nice diagonal spaceship in the same rule

Code: Select all

x = 5, y = 4, rule = R3,C0,S5,B6
4o$4bo$4bo$4bo!

EDIT: another gun

Code: Select all

x = 179, y = 267, rule = R3,C0,S28-48,B8-9,13
18b2o$18b2o$18b2o$18b2o15$4o$4o40$75b4o$75b4o15$59b2o$59b2o54b2o$59b2o
54b2o$59b2o54b2o$115b2o71$175b4o$175b4o37$158b2o$158b2o$158b2o$158b2o
15$174b4o$174b4o40$99b4o$99b4o15$117b2o$117b2o$117b2o$117b2o!

[hotcrystal0]

hint: they are going to nowhere. Thwy all stabaloze as period two oscillators.

it falls prone, but spends the turn to get up!

This one becomes a P4, but only A FEW cells oscillate at P4 for some reason.

Code: Select all

x = 53, y = 53, rule = R25,C2,M1,S850..1324,B765..1700,NM
19bo11bo$16b2o14b3o$14b18ob5o$12b28o$10b31o$8b35o$7b37o$6b39o$5b42o$5b
43o$4b44o$4b45o$3b47o$3b18o9b20o$2b17o12b20o$2b16o15b18o$b16o3b2o12b18o
$b15o3b4o12b17o$2b13o5bo2b2ob3o2b2o3b14obo$ob12o3bobob2obo6b3o3b13o2b
o$2b12o2b4obob2ob3o2b4o3b13obo$2b11o3b2ob6o2b2o3b3o3b13o$2b11o4bob2ob
4obo11b12o$2b11o5b2ob2ob2o2bo2bo7b12o$2b11o5bob5o2b2o10b12o$2b11o9b2o
b2o12b12o$2b11o5b3o4bobobo9b12o$2b11o5b7obobo10b12o$2b11o5bob2ob2o2b2o
9b13o$2b11o13bo11b13o$2b12o24b13o$ob13o3b3o2bo13b14obo$bob12o3b4o14b16o
$b15o3b3o13b17o$b16o3b2o12b18o$2b16o15b18o$2b17o13b19o$2b18o11b20o$3b
19o6b22o$3b47o$4b45o$5b43o$5b42o$6b40o$7b38o$8b36o$8b35o$9b33o$11b30o
$12b28o$14b4o2b18o$16b3o13b3o$19b2o10bo!

[May13]

Two R4,NM Bugs-like rules
p136 RRO with loopability 2 (or fake 3) and c/2 diagonal bug:

Code: Select all

x = 133, y = 24, rule = R4,C0,M1,S24..42,B24..34,NM
29b2o48b2o31bo16b2o$28b4o46b4o28b4o14b4o$27b6o44b6o25b4o2bo12b6o$3b5o
18b7o43b7o25b3o4bo10b7o$2b6o18b4o2bo43b4o2bo24b4o4b2o9b4o2bo$b8o17b3o
3bo43b3o3bo25b3o2b3o10b3o3bo$4o2b3o18b6o44b6o26b7o11b6o$3o4b3o18b4o46b
4o28b5o13b4o$3o5b2o100b5o$4o4bo102b3o$5o2bo52b4o$2b5o52b6o$4b2o53bo3b
3o$59bo2b4o$59b7o$59b6o55b3o$60b4o55b6o$61b2o55b2ob5o$117b2o4b4o$117bo
5b4o$117b2o3b4o$118b8o$119b5o$120b3o!

Rule with 8 (semi)natural speeds (9 spaceships; two of them look like tandem bugs!):

Code: Select all

x = 204, y = 59, rule = R4,C0,M1,S23..39,B23..33,NM
3b4o16b4o16b3o15b3o11b3o15b3o17b3o30b5o$2b6o14b6o14b5o13b5o9b5o13b5o
15b5o29b6o$2b6o14b6o14b6o11b8o5b8o12b5o15b5o29b7o$b8o12b8o12b7o10b4o2b
4o3b4o2b4o10b7o13b7o27b3o2b4o$b3o2b3o11b4o2b4o10b3o3b3o9b3o3b4o3b4o3b
3o9b3o3b3o11b3o3b3o26b2o4b3o$3o4b3o10b3o4b3o10b3o3b3o9b3o4b3o3b3o4b3o
9b3o3b3o12b2o3b2o27b2o4b3o$3o4b3o11b2o4b2o12b2o3b3o10b2o3b3o5b3o3b2o
11b2o3b2o13b3ob3o28bo3b4o$b2o4b2o13b2o2b2o14b2ob2o13b6o7b6o13b5o15b5o
29b2ob5o$2b6o15b4o16b3o15b3o11b3o15b3o18bo33b3o$4b2o11$166b4o$165b7o$
165b7o$165b7o$165b7o$165b7o$165b6o3$175b5o$174b6o$174b7o$174b7o$174b7o
$174b7o$174b6o15$198b3o$197b5o$196b7o$195b2o4b3o$195b2o4b3o$195b2o4b3o
$196b2o3b2o$197b5o$198b3o!

Orthogonal: 8c/11, 6c/10, c/2, 2c/4 (tandem), 3c/7, c/3.
Diagonal: 2c/4, c/5 (tandem), c/6.
Edit: without tandem bugs and c/6d bug, all remaining bugs works with 3 states (C3). There is a new 10c/28 diagonal bug:

Code: Select all

x = 8, y = 9, rule = R4,C3,M1,S23..39,B23..33,NM
3.2A$2.5A$.6AB$8A$4A2.2A$4A2.2A$.3A.2AB$2.4AB$4.B!

2c/9o in C4 variant:

Code: Select all

x = 7, y = 7, rule = R4,C4,M1,S23..39,B23..33,NM
.5A$7A$7A$7A$7A$.5A$.C3AC!

c/2d in C7 variant:

Code: Select all

x = 11, y = 11, rule = R4,C7,M1,S23..39,B23..33,NM
4.F3EF$3.D3CDEF$2.B3ABCD.F$.4A.AB.DF$4AEF2.BDF$3ACD2EABD$3AB2C2ABF$8A
D$.6AB$2.5A$3.3A!

c/2d in C8 variant:

Code: Select all

x = 13, y = 12, rule = R4,C8,M1,S23..39,B23..33,NM
5.5A$4.6A$3.C7A$2.EC3A2B3A$.GE3A2DB4A$.GCBA2FDC4A$.EDC2.FE4A$GFE.B.G
5A$.G.D2.B2ABC$2.F2.D2CDE$4.F2EFG$4.2G!

c/2d in C9+ variant:

Code: Select all

x = 13, y = 12, rule = R4,C9,M1,S23..39,B23..33,NM
5.5A$4.6A$3.C7A$2.EC3A2B3A$.GE3A2DB4A$.GCBA2FDC4A$.EDC2HFE4A$GFE2.HG
5A$HG4.B2ABC$5.D2CDE$4.F2EFG$3.H2GH!

3c/7d in C10+ variant:

Code: Select all

x = 12, y = 12, rule = R4,C10,M1,S23..39,B23..33,NM
5.5A$4.6A$3.C8A$2.FC3A2B3A$.HE3ADCB3A$.FDBH2GD4A$.FDC2IG5A$HGE2.IH4A$
I4.CBA2C$4.E2DEF$4.G2FH$3.IH!

[FWKnightship]

Rule with 8 (semi)natural speeds (9 spaceships; two of them look like tandem bugs!):

Code: Select all

x = 204, y = 59, rule = R4,C0,M1,S23..39,B23..33,NM
3b4o16b4o16b3o15b3o11b3o15b3o17b3o30b5o$2b6o14b6o14b5o13b5o9b5o13b5o
15b5o29b6o$2b6o14b6o14b6o11b8o5b8o12b5o15b5o29b7o$b8o12b8o12b7o10b4o2b
4o3b4o2b4o10b7o13b7o27b3o2b4o$b3o2b3o11b4o2b4o10b3o3b3o9b3o3b4o3b4o3b
3o9b3o3b3o11b3o3b3o26b2o4b3o$3o4b3o10b3o4b3o10b3o3b3o9b3o4b3o3b3o4b3o
9b3o3b3o12b2o3b2o27b2o4b3o$3o4b3o11b2o4b2o12b2o3b3o10b2o3b3o5b3o3b2o
11b2o3b2o13b3ob3o28bo3b4o$b2o4b2o13b2o2b2o14b2ob2o13b6o7b6o13b5o15b5o
29b2ob5o$2b6o15b4o16b3o15b3o11b3o15b3o18bo33b3o$4b2o11$166b4o$165b7o$
165b7o$165b7o$165b7o$165b7o$165b6o3$175b5o$174b6o$174b7o$174b7o$174b7o
$174b7o$174b6o15$198b3o$197b5o$196b7o$195b2o4b3o$195b2o4b3o$195b2o4b3o
$196b2o3b2o$197b5o$198b3o!

Orthogonal: 8c/11, 6c/10, c/2, 2c/4 (tandem), 3c/7, c/3.
Diagonal: 2c/4, c/5 (tandem), c/6.

C/2d:

Code: Select all

x = 10, y = 10, rule = R4,C0,M1,S23..39,B23..33,NM
2b4o$b6o$b7o$3o2b4o$2o4b4o$o5b4o$2o4b4o$b2o2b4o$2b5o$3b2o!

[Yoel]

UPDATE:

See below. I rushed to post this and did not notice that FWKnightship independently posted his 'rosary' just a few days ago. I guess this coincidence shows that this rule deserves more attention. Still, the designs are conceptually very different. Mine consists of infinitely extendable uniform tiles (metacells). Each tile stores its state. Update time is adjustable. There is also a nice display.

Rule 110 tiles in Bosco. Made almost entirely of boscos and common 5c/6 ships. The SLs used as bits in the binary counters could be replaced by boscos as well (the construction would be somewhat larger though). As far as I know, this is the first example of Rule 110 tiles in any LtL rule, is it? Like my tiles for FireWorld and Brian's Brain, there are no XOR gates, only AND-NOT and toggle flip-flops displaying the current state of the cells. The clocks with binary counters are used to periodically filter out the status signal out all the pulsating noise coming from the flip-flops.

Code: Select all

x = 8904, y = 2000, rule = R5,C0,M1,S34..58,B34..45,NM:T8904,2000
485$223b3o1269b3o1269b3o1269b3o1269b3o1269b3o1269b3o$222b5o1267b5o
1267b5o1267b5o1267b5o1267b5o1267b5o$221b7o1265b7o1265b7o1265b7o1265b7o
1265b7o1265b7o$221b8o1264b8o1264b8o1264b8o1264b8o1264b8o1264b8o$220b4o
2b4o1262b4o2b4o1262b4o2b4o1262b4o2b4o1262b4o2b4o1262b4o2b4o1262b4o2b4o
$220b2o4b4o1262b2o4b4o1262b2o4b4o1262b2o4b4o1262b2o4b4o1262b2o4b4o
1262b2o4b4o$219b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o
1261b2o5b4o1261b2o5b4o$220bo5b4o1262bo5b4o1262bo5b4o1262bo5b4o1262bo5b
4o1262bo5b4o1262bo5b4o$221bo3b5o1263bo3b5o1263bo3b5o1263bo3b5o1263bo3b
5o1263bo3b5o1263bo3b5o$222b7o1265b7o1265b7o1265b7o1265b7o1265b7o1265b
7o$223b3o1269b3o1269b3o1269b3o1269b3o1269b3o1269b3o511$1264b4o1268b4o
1268b4o1268b4o1268b4o1268b4o1268b4o$1263b6o1266b6o1266b6o1266b6o1266b
6o1266b6o1266b6o$1262b3o2b3o1264b3o2b3o1264b3o2b3o1264b3o2b3o1264b3o2b
3o1264b3o2b3o1264b3o2b3o$1262b3o2b3o1264b3o2b3o1264b3o2b3o1264b3o2b3o
1264b3o2b3o1264b3o2b3o1264b3o2b3o$1262b3o2b3o1264b3o2b3o1264b3o2b3o
1264b3o2b3o1264b3o2b3o1264b3o2b3o1264b3o2b3o$1262b3o2b3o1264b3o2b3o
1264b3o2b3o1264b3o2b3o1264b3o2b3o1264b3o2b3o1264b3o2b3o$1262b8o1264b8o
1264b8o1264b8o1264b8o1264b8o1264b8o$1263b6o1266b6o1266b6o1266b6o1266b
6o1266b6o1266b6o$1264b4o1268b4o1268b4o1268b4o1268b4o1268b4o1268b4o53$
79b4o1268b4o1268b4o1268b4o1268b4o1268b4o1268b4o$79b6o1266b6o1266b6o
1266b6o1266b6o1266b6o1266b6o$78b8o1264b8o1264b8o1264b8o1264b8o1264b8o
1264b8o$78b9o1263b9o1263b9o1263b9o1263b9o1263b9o1263b9o$77bo3b6o1262bo
3b6o1262bo3b6o1262bo3b6o1262bo3b6o1262bo3b6o1262bo3b6o$76bo6b5o1260bo
6b5o1260bo6b5o1260bo6b5o1260bo6b5o1260bo6b5o1260bo6b5o$75b2o6b5o1259b
2o6b5o1259b2o6b5o1259b2o6b5o1259b2o6b5o1259b2o6b5o1259b2o6b5o$74b2o7b
5o1258b2o7b5o1258b2o7b5o1258b2o7b5o1258b2o7b5o1258b2o7b5o1258b2o7b5o$
74b3o6b4o1259b3o6b4o1259b3o6b4o1259b3o6b4o1259b3o6b4o1259b3o6b4o1259b
3o6b4o$75b4o2b5o1261b4o2b5o1261b4o2b5o1261b4o2b5o1261b4o2b5o1261b4o2b
5o1261b4o2b5o$75b10o1262b10o1262b10o1262b10o1262b10o1262b10o1262b10o$
76b8o1264b8o1264b8o1264b8o1264b8o1264b8o1264b8o$76b7o1265b7o1265b7o
1265b7o1265b7o1265b7o1265b7o$76b7o993b5o267b7o993b5o267b7o993b5o267b7o
993b5o267b7o993b5o267b7o993b5o267b7o993b5o$77b5o993b7o267b5o993b7o267b
5o993b7o267b5o993b7o267b5o993b7o267b5o993b7o267b5o993b7o$1075b7o1265b
7o1265b7o1265b7o1265b7o1265b7o1265b7o$1074b9o1263b9o1263b9o1263b9o
1263b9o1263b9o1263b9o$1074b3o3b4o27b6o1229b3o3b4o27b6o1229b3o3b4o27b6o
1229b3o3b4o27b6o1229b3o3b4o27b6o1229b3o3b4o27b6o1229b3o3b4o27b6o$1073b
4o4b4o26b6o1228b4o4b4o26b6o1228b4o4b4o26b6o1228b4o4b4o26b6o1228b4o4b4o
26b6o1228b4o4b4o26b6o1228b4o4b4o26b6o$1074bo5b5o25b8o1228bo5b5o25b8o
1228bo5b5o25b8o1228bo5b5o25b8o1228bo5b5o25b8o1228bo5b5o25b8o1228bo5b5o
25b8o$1074b2o4b4o26b8o1228b2o4b4o26b8o1228b2o4b4o26b8o1228b2o4b4o26b8o
1228b2o4b4o26b8o1228b2o4b4o26b8o1228b2o4b4o26b8o$584b3o488b2o2b5o25b
10o737b3o488b2o2b5o25b10o737b3o488b2o2b5o25b10o737b3o488b2o2b5o25b10o
737b3o488b2o2b5o25b10o737b3o488b2o2b5o25b10o737b3o488b2o2b5o25b10o$21b
2o214b4o342b5o488b7o26b3o4b3o174b2o214b4o342b5o488b7o26b3o4b3o174b2o
214b4o342b5o488b7o26b3o4b3o174b2o214b4o342b5o488b7o26b3o4b3o174b2o214b
4o342b5o488b7o26b3o4b3o174b2o214b4o342b5o488b7o26b3o4b3o174b2o214b4o
342b5o488b7o26b3o4b3o$19b6o210b4ob2o340b7o488b3o29b3o4b3o172b6o210b4ob
2o340b7o488b3o29b3o4b3o172b6o210b4ob2o340b7o488b3o29b3o4b3o172b6o210b
4ob2o340b7o488b3o29b3o4b3o172b6o210b4ob2o340b7o488b3o29b3o4b3o172b6o
210b4ob2o340b7o488b3o29b3o4b3o172b6o210b4ob2o340b7o488b3o29b3o4b3o$19b
6o210b3o3b2o339b8o520b2o4b2o173b6o210b3o3b2o339b8o520b2o4b2o173b6o210b
3o3b2o339b8o520b2o4b2o173b6o210b3o3b2o339b8o520b2o4b2o173b6o210b3o3b2o
339b8o520b2o4b2o173b6o210b3o3b2o339b8o520b2o4b2o173b6o210b3o3b2o339b8o
520b2o4b2o$18b8o208b4o4b2o337b4ob5o519b2o4b2o172b8o208b4o4b2o337b4ob5o
519b2o4b2o172b8o208b4o4b2o337b4ob5o519b2o4b2o172b8o208b4o4b2o337b4ob5o
519b2o4b2o172b8o208b4o4b2o337b4ob5o519b2o4b2o172b8o208b4o4b2o337b4ob5o
519b2o4b2o172b8o208b4o4b2o337b4ob5o519b2o4b2o$18b8o208b4o4b2o337b3o3b
5o519b6o173b8o208b4o4b2o337b3o3b5o519b6o173b8o208b4o4b2o337b3o3b5o519b
6o173b8o208b4o4b2o337b3o3b5o519b6o173b8o208b4o4b2o337b3o3b5o519b6o173b
8o208b4o4b2o337b3o3b5o519b6o173b8o208b4o4b2o337b3o3b5o519b6o$17b4o2b4o
207b4o2bob2o336b3o5b4o521b2o174b4o2b4o207b4o2bob2o336b3o5b4o521b2o174b
4o2b4o207b4o2bob2o336b3o5b4o521b2o174b4o2b4o207b4o2bob2o336b3o5b4o521b
2o174b4o2b4o207b4o2bob2o336b3o5b4o521b2o174b4o2b4o207b4o2bob2o336b3o5b
4o521b2o174b4o2b4o207b4o2bob2o336b3o5b4o521b2o$17b3o4b3o208b9o337bo5b
5o697b3o4b3o208b9o337bo5b5o697b3o4b3o208b9o337bo5b5o697b3o4b3o208b9o
337bo5b5o697b3o4b3o208b9o337bo5b5o697b3o4b3o208b9o337bo5b5o697b3o4b3o
208b9o337bo5b5o$17b3o4b3o209b7o338b2o3b5o698b3o4b3o209b7o338b2o3b5o
698b3o4b3o209b7o338b2o3b5o698b3o4b3o209b7o338b2o3b5o698b3o4b3o209b7o
338b2o3b5o698b3o4b3o209b7o338b2o3b5o698b3o4b3o209b7o338b2o3b5o$18b2o4b
2o211b6o339b2o2b4o700b2o4b2o211b6o339b2o2b4o700b2o4b2o211b6o339b2o2b4o
700b2o4b2o211b6o339b2o2b4o700b2o4b2o211b6o339b2o2b4o700b2o4b2o211b6o
339b2o2b4o700b2o4b2o211b6o339b2o2b4o$19b2o2b2o212b4o342b5o703b2o2b2o
212b4o342b5o703b2o2b2o212b4o342b5o703b2o2b2o212b4o342b5o703b2o2b2o212b
4o342b5o703b2o2b2o212b4o342b5o703b2o2b2o212b4o342b5o$20b4o561bo706b4o
561bo706b4o561bo706b4o561bo706b4o561bo706b4o561bo706b4o561bo11$512b4o
1268b4o1268b4o1268b4o1268b4o1268b4o1268b4o$511b2ob4o1265b2ob4o1265b2ob
4o1265b2ob4o1265b2ob4o1265b2ob4o1265b2ob4o$510b2o2b5o1263b2o2b5o1263b
2o2b5o1263b2o2b5o1263b2o2b5o1263b2o2b5o1263b2o2b5o$509b2o5b4o1261b2o5b
4o1261b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o$509b2o5b4o
1261b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o1261b2o5b4o$
509b3o4b4o1261b3o4b4o1261b3o4b4o1261b3o4b4o1261b3o4b4o1261b3o4b4o1261b
3o4b4o$510b3o2b5o1262b3o2b5o1262b3o2b5o1262b3o2b5o1262b3o2b5o1262b3o2b
5o1262b3o2b5o$510b9o1263b9o1263b9o1263b9o1263b9o1263b9o1263b9o$511b7o
1265b7o1265b7o1265b7o1265b7o1265b7o1265b7o$511b6o1266b6o1266b6o1266b6o
1266b6o1266b6o1266b6o$512b4o1268b4o1268b4o1268b4o1268b4o1268b4o1268b4o
11$277bo325b5o941bo325b5o941bo325b5o941bo325b5o941bo325b5o941bo325b5o
941bo325b5o$275b5o322b7o938b5o322b7o938b5o322b7o938b5o322b7o938b5o322b
7o938b5o322b7o938b5o322b7o$273b4o2b2o320b8o936b4o2b2o320b8o936b4o2b2o
320b8o936b4o2b2o320b8o936b4o2b2o320b8o936b4o2b2o320b8o936b4o2b2o320b8o
$272b4o4bo319b5ob3o935b4o4bo319b5ob3o935b4o4bo319b5ob3o935b4o4bo319b5o
b3o935b4o4bo319b5ob3o935b4o4bo319b5ob3o935b4o4bo319b5ob3o$272b4o4b2o
317b4o4b3o934b4o4b2o317b4o4b3o934b4o4b2o317b4o4b3o934b4o4b2o317b4o4b3o
934b4o4b2o317b4o4b3o934b4o4b2o317b4o4b3o934b4o4b2o317b4o4b3o$272b4o4b
2o317b4o5b3o933b4o4b2o317b4o5b3o933b4o4b2o317b4o5b3o933b4o4b2o317b4o5b
3o933b4o4b2o317b4o5b3o933b4o4b2o317b4o5b3o933b4o4b2o317b4o5b3o$272b9o
318b5o4b2o934b9o318b5o4b2o934b9o318b5o4b2o934b9o318b5o4b2o934b9o318b5o
4b2o934b9o318b5o4b2o934b9o318b5o4b2o$273b8o319b4o4bo936b8o319b4o4bo
936b8o319b4o4bo936b8o319b4o4bo936b8o319b4o4bo936b8o319b4o4bo936b8o319b
4o4bo$274b6o321b5ob2o937b6o321b5ob2o937b6o321b5ob2o937b6o321b5ob2o937b
6o321b5ob2o937b6o321b5ob2o937b6o321b5ob2o$275b5o323b4o940b5o323b4o940b
5o323b4o940b5o323b4o940b5o323b4o940b5o323b4o940b5o323b4o$604b2o1270b2o
1270b2o1270b2o1270b2o1270b2o1270b2o23$796bo1271bo1271bo1271bo1271bo
1271bo1271bo$794b4o133b3o1132b4o133b3o1132b4o133b3o1132b4o133b3o1132b
4o133b3o1132b4o133b3o1132b4o133b3o$792b5ob2o130b6o1128b5ob2o130b6o
1128b5ob2o130b6o1128b5ob2o130b6o1128b5ob2o130b6o1128b5ob2o130b6o1128b
5ob2o130b6o$791b5o3bo128b5o2b2o1126b5o3bo128b5o2b2o1126b5o3bo128b5o2b
2o1126b5o3bo128b5o2b2o1126b5o3bo128b5o2b2o1126b5o3bo128b5o2b2o1126b5o
3bo128b5o2b2o$791b4o4b2o126b5o4bo1126b4o4b2o126b5o4bo1126b4o4b2o126b5o
4bo1126b4o4b2o126b5o4bo1126b4o4b2o126b5o4bo1126b4o4b2o126b5o4bo1126b4o
4b2o126b5o4bo$790b4o5b2o126b4o5b2o1124b4o5b2o126b4o5b2o1124b4o5b2o126b
4o5b2o1124b4o5b2o126b4o5b2o1124b4o5b2o126b4o5b2o1124b4o5b2o126b4o5b2o
1124b4o5b2o126b4o5b2o$791b4o3b3o126b4o4b3o1125b4o3b3o126b4o4b3o1125b4o
3b3o126b4o4b3o1125b4o3b3o126b4o4b3o1125b4o3b3o126b4o4b3o1125b4o3b3o
126b4o4b3o1125b4o3b3o126b4o4b3o$791b5ob4o126b5o2b3o1126b5ob4o126b5o2b
3o1126b5ob4o126b5o2b3o1126b5ob4o126b5o2b3o1126b5ob4o126b5o2b3o1126b5ob
4o126b5o2b3o1126b5ob4o126b5o2b3o$792b8o128b9o1127b8o128b9o1127b8o128b
9o1127b8o128b9o1127b8o128b9o1127b8o128b9o1127b8o128b9o$793b7o130b6o
1129b7o130b6o1129b7o130b6o1129b7o130b6o1129b7o130b6o1129b7o130b6o1129b
7o130b6o$794b5o131b6o1130b5o131b6o1130b5o131b6o1130b5o131b6o1130b5o
131b6o1130b5o131b6o1130b5o131b6o$931b4o1268b4o1268b4o1268b4o1268b4o
1268b4o1268b4o7$343b5o82b5o1180b5o82b5o1180b5o82b5o1180b5o82b5o1180b5o
82b5o1180b5o82b5o1180b5o82b5o$343b6o80b6o1180b6o80b6o1180b6o80b6o1180b
6o80b6o1180b6o80b6o1180b6o80b6o1180b6o80b6o$342b8o78b8o1178b8o78b8o
1178b8o78b8o1178b8o78b8o1178b8o78b8o1178b8o78b8o1178b8o78b8o$342b9o76b
9o1178b9o76b9o1178b9o76b9o1178b9o76b9o1178b9o76b9o1178b9o76b9o1178b9o
76b9o$341b3o4b4o74b4o4b3o1176b3o4b4o74b4o4b3o1176b3o4b4o74b4o4b3o1176b
3o4b4o74b4o4b3o1176b3o4b4o74b4o4b3o1176b3o4b4o74b4o4b3o1176b3o4b4o74b
4o4b3o$341b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o
1176b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o1176b2o5b
4o74b4o5b2o$341b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b
2o1176b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o1176b2o5b4o74b4o5b2o1176b2o
5b4o74b4o5b2o$342bo4b5o74b5o4bo1178bo4b5o74b5o4bo1178bo4b5o74b5o4bo
1178bo4b5o74b5o4bo1178bo4b5o74b5o4bo1178bo4b5o74b5o4bo1178bo4b5o74b5o
4bo$343bo2b5o76b5o2bo225b2o953bo2b5o76b5o2bo225b2o953bo2b5o76b5o2bo
225b2o953bo2b5o76b5o2bo225b2o953bo2b5o76b5o2bo225b2o953bo2b5o76b5o2bo
225b2o953bo2b5o76b5o2bo225b2o$344b4o82b4o225b5o952b4o82b4o225b5o952b4o
82b4o225b5o952b4o82b4o225b5o952b4o82b4o225b5o952b4o82b4o225b5o952b4o
82b4o225b5o$345b2o84b2o225b7o952b2o84b2o225b7o952b2o84b2o225b7o952b2o
84b2o225b7o952b2o84b2o225b7o952b2o84b2o225b7o952b2o84b2o225b7o$657b8o
1264b8o1264b8o1264b8o1264b8o1264b8o1264b8o$656b5ob3o1263b5ob3o1263b5ob
3o1263b5ob3o1263b5ob3o1263b5ob3o1263b5ob3o$655b4o4b3o1261b4o4b3o1261b
4o4b3o1261b4o4b3o1261b4o4b3o1261b4o4b3o1261b4o4b3o$655b4o5b2o1261b4o5b
2o1261b4o5b2o1261b4o5b2o1261b4o5b2o1261b4o5b2o1261b4o5b2o$655b4o6bo
1261b4o6bo1261b4o6bo1261b4o6bo1261b4o6bo1261b4o6bo1261b4o6bo$655b5o4bo
1262b5o4bo1262b5o4bo1262b5o4bo1262b5o4bo1262b5o4bo1262b5o4bo$656b5o2b
2o1263b5o2b2o1263b5o2b2o1263b5o2b2o1263b5o2b2o1263b5o2b2o1263b5o2b2o$
658b6o1266b6o1266b6o1266b6o1266b6o1266b6o1266b6o$275b5o380b2o885b5o
380b2o885b5o380b2o885b5o380b2o885b5o380b2o885b5o380b2o885b5o380b2o$
274b6o1266b6o1266b6o1266b6o1266b6o1266b6o1266b6o$273b8o1264b8o1264b8o
1264b8o1264b8o1264b8o1264b8o$272b9o1263b9o1263b9o1263b9o1263b9o1263b9o
1263b9o$272b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o
4b2o1262b4o4b2o$272b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o
1262b4o4b2o1262b4o4b2o$272b4o4bo1263b4o4bo1263b4o4bo1263b4o4bo1263b4o
4bo1263b4o4bo1263b4o4bo$273b4o2b2o1264b4o2b2o1264b4o2b2o1264b4o2b2o
1264b4o2b2o1264b4o2b2o1264b4o2b2o$275b5o1267b5o1267b5o1267b5o1267b5o
1267b5o1267b5o$277bo1271bo1271bo1271bo1271bo1271bo1271bo11$512b4o1268b
4o1268b4o1268b4o1268b4o1268b4o1268b4o$511b6o594b6o666b6o594b6o666b6o
594b6o666b6o594b6o666b6o594b6o666b6o594b6o666b6o594b6o$511b7o593b6o
666b7o593b6o666b7o593b6o666b7o593b6o666b7o593b6o666b7o593b6o666b7o593b
6o$510b9o591b8o664b9o591b8o664b9o591b8o664b9o591b8o664b9o591b8o664b9o
591b8o664b9o591b8o$510b3o2b5o590b8o664b3o2b5o590b8o664b3o2b5o590b8o
664b3o2b5o590b8o664b3o2b5o590b8o664b3o2b5o590b8o664b3o2b5o590b8o$509b
3o4b4o589b4o2b4o662b3o4b4o589b4o2b4o662b3o4b4o589b4o2b4o662b3o4b4o589b
4o2b4o662b3o4b4o589b4o2b4o662b3o4b4o589b4o2b4o662b3o4b4o589b4o2b4o$
509b2o5b4o589b3o4b3o662b2o5b4o589b3o4b3o662b2o5b4o589b3o4b3o662b2o5b4o
589b3o4b3o662b2o5b4o589b3o4b3o662b2o5b4o589b3o4b3o662b2o5b4o589b3o4b3o
$19b6o484b2o5b4o588b4o4b4o171b6o484b2o5b4o588b4o4b4o171b6o484b2o5b4o
588b4o4b4o171b6o484b2o5b4o588b4o4b4o171b6o484b2o5b4o588b4o4b4o171b6o
484b2o5b4o588b4o4b4o171b6o484b2o5b4o588b4o4b4o$19b6o485b2o2b5o590b3o4b
3o172b6o485b2o2b5o590b3o4b3o172b6o485b2o2b5o590b3o4b3o172b6o485b2o2b5o
590b3o4b3o172b6o485b2o2b5o590b3o4b3o172b6o485b2o2b5o590b3o4b3o172b6o
485b2o2b5o590b3o4b3o$18b8o485b2ob4o592b2o4b2o172b8o485b2ob4o592b2o4b2o
172b8o485b2ob4o592b2o4b2o172b8o485b2ob4o592b2o4b2o172b8o485b2ob4o592b
2o4b2o172b8o485b2ob4o592b2o4b2o172b8o485b2ob4o592b2o4b2o$18b8o486b4o
595b2o2b2o173b8o486b4o595b2o2b2o173b8o486b4o595b2o2b2o173b8o486b4o595b
2o2b2o173b8o486b4o595b2o2b2o173b8o486b4o595b2o2b2o173b8o486b4o595b2o2b
2o$17b10o1085b4o173b10o1085b4o173b10o1085b4o173b10o1085b4o173b10o1085b
4o173b10o1085b4o173b10o1085b4o$17b3o4b3o1262b3o4b3o1262b3o4b3o1262b3o
4b3o1262b3o4b3o1262b3o4b3o1262b3o4b3o$17b3o4b3o1262b3o4b3o1262b3o4b3o
1262b3o4b3o1262b3o4b3o1262b3o4b3o1262b3o4b3o$18b2o4b2o596b5o663b2o4b2o
596b5o663b2o4b2o596b5o663b2o4b2o596b5o663b2o4b2o596b5o663b2o4b2o596b5o
663b2o4b2o596b5o$18b2o4b2o595b6o663b2o4b2o595b6o663b2o4b2o595b6o663b2o
4b2o595b6o663b2o4b2o595b6o663b2o4b2o595b6o663b2o4b2o595b6o$19b6o595b8o
663b6o595b8o663b6o595b8o663b6o595b8o663b6o595b8o663b6o595b8o663b6o595b
8o$21b2o596b9o665b2o596b9o665b2o596b9o665b2o596b9o665b2o596b9o665b2o
596b9o665b2o596b9o$619b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o
4b2o1262b4o4b2o1262b4o4b2o$619b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o
1262b4o4b2o1262b4o4b2o1262b4o4b2o$619b4o4bo1263b4o4bo1263b4o4bo1263b4o
4bo1263b4o4bo1263b4o4bo1263b4o4bo$620b4o2b2o1264b4o2b2o1264b4o2b2o
1264b4o2b2o1264b4o2b2o1264b4o2b2o1264b4o2b2o$622b5o1267b5o1267b5o1267b
5o1267b5o1267b5o1267b5o$624bo1271bo1271bo1271bo1271bo1271bo1271bo28$
386b5o1267b5o1267b5o1267b5o1267b5o1267b5o1267b5o866bo$385bo2b4o1265bo
2b4o1265bo2b4o1265bo2b4o1265bo2b4o1265bo2b4o1265bo2b4o863b4o$384bo4b4o
1263bo4b4o1263bo4b4o1263bo4b4o1263bo4b4o1263bo4b4o1263bo4b4o860b7o$
383b2o4b5o1261b2o4b5o1261b2o4b5o1261b2o4b5o1261b2o4b5o1261b2o4b5o1261b
2o4b5o858b9o$383b3o4b4o1261b3o4b4o1261b3o4b4o1261b3o4b4o1261b3o4b4o
1261b3o4b4o1261b3o4b4o857b5o4b2o$227bo155b4o2b5o1105bo155b4o2b5o1105bo
155b4o2b5o1105bo155b4o2b5o1105bo155b4o2b5o1105bo155b4o2b5o1105bo155b4o
2b5o857b4o6bo$225b5o154b9o1104b5o154b9o1104b5o154b9o1104b5o154b9o1104b
5o154b9o1104b5o154b9o1104b5o154b9o858b4o6bo$223b4o2b2o153b8o1103b4o2b
2o153b8o1103b4o2b2o153b8o1103b4o2b2o153b8o1103b4o2b2o153b8o1103b4o2b2o
153b8o1103b4o2b2o153b8o859b5o4b2o$222b5o3b2o153b6o1103b5o3b2o153b6o
1103b5o3b2o153b6o1103b5o3b2o153b6o1103b5o3b2o153b6o1103b5o3b2o153b6o
1103b5o3b2o153b6o861b9o$221b5o5bo153b6o1102b5o5bo153b6o1102b5o5bo153b
6o1102b5o5bo153b6o1102b5o5bo153b6o1102b5o5bo153b6o1102b5o5bo153b6o862b
7o$221b4o5b3o1260b4o5b3o1260b4o5b3o1260b4o5b3o1260b4o5b3o1260b4o5b3o
1260b4o5b3o1022b4o$221b5o3b3o1261b5o3b3o1261b5o3b3o1261b5o3b3o1261b5o
3b3o1261b5o3b3o1261b5o3b3o1025bo$222b5ob4o1262b5ob4o1262b5ob4o1262b5ob
4o1262b5ob4o1262b5ob4o1262b5ob4o$223b8o1264b8o1264b8o1264b8o1264b8o
1264b8o1264b8o$224b7o700b4o561b7o700b4o561b7o700b4o561b7o700b4o561b7o
700b4o561b7o700b4o561b7o700b4o$225b5o564b5o131b6o561b5o564b5o131b6o
561b5o564b5o131b6o561b5o564b5o131b6o561b5o564b5o131b6o561b5o564b5o131b
6o561b5o564b5o131b6o$226b3o564b7o130b6o562b3o564b7o130b6o562b3o564b7o
130b6o562b3o564b7o130b6o562b3o564b7o130b6o562b3o564b7o130b6o562b3o564b
7o130b6o$792b8o128b9o1127b8o128b9o1127b8o128b9o1127b8o128b9o1127b8o
128b9o1127b8o128b9o1127b8o128b9o$791b5ob4o126b5o2b3o1126b5ob4o126b5o2b
3o1126b5ob4o126b5o2b3o1126b5ob4o126b5o2b3o1126b5ob4o126b5o2b3o1126b5ob
4o126b5o2b3o1126b5ob4o126b5o2b3o$791b4o3b3o126b4o4b3o1125b4o3b3o126b4o
4b3o1125b4o3b3o126b4o4b3o1125b4o3b3o126b4o4b3o1125b4o3b3o126b4o4b3o
1125b4o3b3o126b4o4b3o1125b4o3b3o126b4o4b3o$790b4o5b2o126b4o5b2o1124b4o
5b2o126b4o5b2o1124b4o5b2o126b4o5b2o1124b4o5b2o126b4o5b2o1124b4o5b2o
126b4o5b2o1124b4o5b2o126b4o5b2o1124b4o5b2o126b4o5b2o$791b4o4b2o126b5o
4bo1126b4o4b2o126b5o4bo1126b4o4b2o126b5o4bo1126b4o4b2o126b5o4bo1126b4o
4b2o126b5o4bo1126b4o4b2o126b5o4bo1126b4o4b2o126b5o4bo$791b5o3bo128b5o
2b2o1126b5o3bo128b5o2b2o1126b5o3bo128b5o2b2o1126b5o3bo128b5o2b2o1126b
5o3bo128b5o2b2o1126b5o3bo128b5o2b2o1126b5o3bo128b5o2b2o$792b5ob2o130b
6o1128b5ob2o130b6o1128b5ob2o130b6o1128b5ob2o130b6o1128b5ob2o130b6o
1128b5ob2o130b6o1128b5ob2o130b6o$794b4o133b3o1132b4o133b3o1132b4o133b
3o1132b4o133b3o1132b4o133b3o1132b4o133b3o1132b4o133b3o$796bo1271bo
1271bo1271bo1271bo1271bo1271bo17$379b2o1270b2o1270b2o1270b2o1270b2o
1270b2o1270b2o$377b5o1267b5o1267b5o1267b5o1267b5o1267b5o1267b5o$376b7o
1265b7o1265b7o1265b7o1265b7o1265b7o1265b7o$376b8o1264b8o1264b8o1264b8o
1264b8o1264b8o1264b8o$375b10o1262b10o1262b10o1262b10o1262b10o1262b10o
1262b10o$375b4o3b4o1261b4o3b4o1261b4o3b4o1261b4o3b4o1261b4o3b4o1261b4o
3b4o1261b4o3b4o$374b4o5b4o1259b4o5b4o1259b4o5b4o1259b4o5b4o1259b4o5b4o
1259b4o5b4o1259b4o5b4o$374b3o6b4o675b2o582b3o6b4o675b2o582b3o6b4o675b
2o582b3o6b4o675b2o582b3o6b4o675b2o582b3o6b4o675b2o582b3o6b4o675b2o$
375b2o5b5o673b6o581b2o5b5o673b6o581b2o5b5o673b6o581b2o5b5o673b6o581b2o
5b5o673b6o581b2o5b5o673b6o581b2o5b5o673b6o$376b2o3b5o673b2o2b5o580b2o
3b5o673b2o2b5o580b2o3b5o673b2o2b5o580b2o3b5o673b2o2b5o580b2o3b5o673b2o
2b5o580b2o3b5o673b2o2b5o580b2o3b5o673b2o2b5o$377b2ob5o673b2o4b4o581b2o
b5o673b2o4b4o581b2ob5o673b2o4b4o581b2ob5o673b2o4b4o581b2ob5o673b2o4b4o
581b2ob5o673b2o4b4o581b2ob5o673b2o4b4o$378b5o675bo5b4o582b5o675bo5b4o
582b5o675bo5b4o582b5o675bo5b4o582b5o675bo5b4o582b5o675bo5b4o582b5o675b
o5b4o$379b3o676b2o4b4o583b3o676b2o4b4o583b3o676b2o4b4o583b3o676b2o4b4o
583b3o676b2o4b4o583b3o676b2o4b4o583b3o676b2o4b4o$1058b4ob5o1262b4ob5o
1262b4ob5o1262b4ob5o1262b4ob5o1262b4ob5o1262b4ob5o$1059b8o1264b8o1264b
8o1264b8o1264b8o1264b8o1264b8o$1059b7o1265b7o1265b7o1265b7o1265b7o
1265b7o1265b7o$1060b5o1267b5o1267b5o1267b5o1267b5o1267b5o1267b5o$1061b
3o1269b3o1269b3o1269b3o1269b3o1269b3o1269b3o$132b2o1270b2o1270b2o1270b
2o1270b2o1270b2o1270b2o$131b4o1268b4o1268b4o1268b4o1268b4o1268b4o1268b
4o$128b5ob2o1264b5ob2o1264b5ob2o1264b5ob2o1264b5ob2o1264b5ob2o1264b5ob
2o$127b5o4bo1262b5o4bo1262b5o4bo1262b5o4bo1262b5o4bo1262b5o4bo1262b5o
4bo$126b5o6b2o1259b5o6b2o1259b5o6b2o1259b5o6b2o1259b5o6b2o1259b5o6b2o
1259b5o6b2o$126b5o5b4o258b4o996b5o5b4o258b4o996b5o5b4o258b4o996b5o5b4o
258b4o996b5o5b4o258b4o996b5o5b4o258b4o996b5o5b4o258b4o$126b5o5b4o257b
6o995b5o5b4o257b6o995b5o5b4o257b6o995b5o5b4o257b6o995b5o5b4o257b6o995b
5o5b4o257b6o995b5o5b4o257b6o$127b5o3b5o256b8o995b5o3b5o256b8o995b5o3b
5o256b8o995b5o3b5o256b8o995b5o3b5o256b8o995b5o3b5o256b8o995b5o3b5o256b
8o$128b4o3b4o257b9o995b4o3b4o257b9o995b4o3b4o257b9o995b4o3b4o257b9o
995b4o3b4o257b9o995b4o3b4o257b9o995b4o3b4o257b9o$129b10o256b4o3b5o994b
10o256b4o3b5o994b10o256b4o3b5o994b10o256b4o3b5o994b10o256b4o3b5o994b
10o256b4o3b5o994b10o256b4o3b5o$130b8o257b3o5b4o995b8o257b3o5b4o995b8o
257b3o5b4o995b8o257b3o5b4o995b8o257b3o5b4o995b8o257b3o5b4o995b8o257b3o
5b4o$131b6o258b2o6b4o996b6o258b2o6b4o996b6o258b2o6b4o996b6o258b2o6b4o
996b6o258b2o6b4o996b6o258b2o6b4o996b6o258b2o6b4o$132b4o259b2o6b4o997b
4o259b2o6b4o997b4o259b2o6b4o997b4o259b2o6b4o997b4o259b2o6b4o997b4o259b
2o6b4o997b4o259b2o6b4o$396bo5b5o1261bo5b5o1261bo5b5o1261bo5b5o1261bo5b
5o1261bo5b5o1261bo5b5o$397bo2b7o1262bo2b7o1262bo2b7o1262bo2b7o1262bo2b
7o1262bo2b7o1262bo2b7o$397b9o1263b9o1263b9o1263b9o1263b9o1263b9o1263b
9o$398b6o1266b6o1266b6o1266b6o1266b6o1266b6o1266b6o$400b2o1270b2o1270b
2o1270b2o1270b2o1270b2o1270b2o8$1015b4o1268b4o1268b4o1268b4o1268b4o
1268b4o1268b4o$1014b6o1266b6o1266b6o1266b6o1266b6o1266b6o1266b6o$1013b
8o1264b8o1264b8o1264b8o1264b8o1264b8o1264b8o$1013b9o91b2o1170b9o91b2o
1170b9o91b2o1170b9o91b2o1170b9o91b2o1170b9o91b2o1170b9o91b2o$1013b10o
88b6o1168b10o88b6o1168b10o88b6o1168b10o88b6o1168b10o88b6o1168b10o88b6o
1168b10o88b6o$1013b4ob6o87b6o1168b4ob6o87b6o1168b4ob6o87b6o1168b4ob6o
87b6o1168b4ob6o87b6o1168b4ob6o87b6o1168b4ob6o87b6o$1012b4o4b5o85b8o
1166b4o4b5o85b8o1166b4o4b5o85b8o1166b4o4b5o85b8o1166b4o4b5o85b8o1166b
4o4b5o85b8o1166b4o4b5o85b8o$1012b5o3b6o84b8o1166b5o3b6o84b8o1166b5o3b
6o84b8o1166b5o3b6o84b8o1166b5o3b6o84b8o1166b5o3b6o84b8o1166b5o3b6o84b
8o$1016b2o3b6o82b4o2b4o1169b2o3b6o82b4o2b4o1169b2o3b6o82b4o2b4o1169b2o
3b6o82b4o2b4o1169b2o3b6o82b4o2b4o1169b2o3b6o82b4o2b4o1169b2o3b6o82b4o
2b4o$19b6o992b3o2b5o82b3o4b3o172b6o992b3o2b5o82b3o4b3o172b6o992b3o2b5o
82b3o4b3o172b6o992b3o2b5o82b3o4b3o172b6o992b3o2b5o82b3o4b3o172b6o992b
3o2b5o82b3o4b3o172b6o992b3o2b5o82b3o4b3o$19b6o994b9o81b3o4b3o172b6o
994b9o81b3o4b3o172b6o994b9o81b3o4b3o172b6o994b9o81b3o4b3o172b6o994b9o
81b3o4b3o172b6o994b9o81b3o4b3o172b6o994b9o81b3o4b3o$18b8o994b8o82b2o4b
2o172b8o994b8o82b2o4b2o172b8o994b8o82b2o4b2o172b8o994b8o82b2o4b2o172b
8o994b8o82b2o4b2o172b8o994b8o82b2o4b2o172b8o994b8o82b2o4b2o$18b8o994b
8o83b2o2b2o173b8o994b8o83b2o2b2o173b8o994b8o83b2o2b2o173b8o994b8o83b2o
2b2o173b8o994b8o83b2o2b2o173b8o994b8o83b2o2b2o173b8o994b8o83b2o2b2o$
17b4o2b4o993b8o84b4o173b4o2b4o993b8o84b4o173b4o2b4o993b8o84b4o173b4o2b
4o993b8o84b4o173b4o2b4o993b8o84b4o173b4o2b4o993b8o84b4o173b4o2b4o993b
8o84b4o$17b3o4b3o993b8o261b3o4b3o993b8o261b3o4b3o993b8o261b3o4b3o993b
8o261b3o4b3o993b8o261b3o4b3o993b8o261b3o4b3o993b8o$16b4o4b4o976b6o10b
7o261b4o4b4o976b6o10b7o261b4o4b4o976b6o10b7o261b4o4b4o976b6o10b7o261b
4o4b4o976b6o10b7o261b4o4b4o976b6o10b7o261b4o4b4o976b6o10b7o$17b3o4b3o
976b8o8b7o263b3o4b3o976b8o8b7o263b3o4b3o976b8o8b7o263b3o4b3o976b8o8b7o
263b3o4b3o976b8o8b7o263b3o4b3o976b8o8b7o263b3o4b3o976b8o8b7o$18b2o4b2o
977b5o2b2o6b6o266b2o4b2o977b5o2b2o6b6o266b2o4b2o977b5o2b2o6b6o266b2o4b
2o977b5o2b2o6b6o266b2o4b2o977b5o2b2o6b6o266b2o4b2o977b5o2b2o6b6o266b2o
4b2o977b5o2b2o6b6o$19b2o2b2o37b5o937b4o3b12o268b2o2b2o37b5o937b4o3b12o
268b2o2b2o37b5o937b4o3b12o268b2o2b2o37b5o937b4o3b12o268b2o2b2o37b5o
937b4o3b12o268b2o2b2o37b5o937b4o3b12o268b2o2b2o37b5o937b4o3b12o$20b4o
37b7o937b4o3b10o270b4o37b7o937b4o3b10o270b4o37b7o937b4o3b10o270b4o37b
7o937b4o3b10o270b4o37b7o937b4o3b10o270b4o37b7o937b4o3b10o270b4o37b7o
937b4o3b10o$61b8o937b4ob10o312b8o937b4ob10o312b8o937b4ob10o312b8o937b
4ob10o312b8o937b4ob10o312b8o937b4ob10o312b8o937b4ob10o$61b9o937b13o
313b9o937b13o313b9o937b13o313b9o937b13o313b9o937b13o313b9o937b13o313b
9o937b13o$60b3o3b5o936b12o313b3o3b5o936b12o313b3o3b5o936b12o313b3o3b5o
936b12o313b3o3b5o936b12o313b3o3b5o936b12o313b3o3b5o936b12o$59b3o5b4o
885b3o49b11o312b3o5b4o885b3o49b11o312b3o5b4o885b3o49b11o312b3o5b4o885b
3o49b11o312b3o5b4o885b3o49b11o312b3o5b4o885b3o49b11o312b3o5b4o885b3o
49b11o$60b2o5b4o884b5o48b10o314b2o5b4o884b5o48b10o314b2o5b4o884b5o48b
10o314b2o5b4o884b5o48b10o314b2o5b4o884b5o48b10o314b2o5b4o884b5o48b10o
314b2o5b4o884b5o48b10o$61bo4b5o883b7o49b7o316bo4b5o883b7o49b7o316bo4b
5o883b7o49b7o316bo4b5o883b7o49b7o316bo4b5o883b7o49b7o316bo4b5o883b7o
49b7o316bo4b5o883b7o49b7o$61b2o2b5o883b4ob4o49b5o317b2o2b5o883b4ob4o
49b5o317b2o2b5o883b4ob4o49b5o317b2o2b5o883b4ob4o49b5o317b2o2b5o883b4ob
4o49b5o317b2o2b5o883b4ob4o49b5o317b2o2b5o883b4ob4o49b5o$62b6o79b4o801b
4o3b4o371b6o79b4o801b4o3b4o371b6o79b4o801b4o3b4o371b6o79b4o801b4o3b4o
371b6o79b4o801b4o3b4o371b6o79b4o801b4o3b4o371b6o79b4o801b4o3b4o$64b2o
80b7o799b3o5b3o373b2o80b7o799b3o5b3o373b2o80b7o799b3o5b3o373b2o80b7o
799b3o5b3o373b2o80b7o799b3o5b3o373b2o80b7o799b3o5b3o373b2o80b7o799b3o
5b3o$145b9o798b3o5b3o454b9o798b3o5b3o454b9o798b3o5b3o454b9o798b3o5b3o
454b9o798b3o5b3o454b9o798b3o5b3o454b9o798b3o5b3o$145b10o797b4o4b3o454b
10o797b4o4b3o454b10o797b4o4b3o454b10o797b4o4b3o454b10o797b4o4b3o454b
10o797b4o4b3o454b10o797b4o4b3o$144b4o3b4o798b4ob4o454b4o3b4o798b4ob4o
454b4o3b4o798b4ob4o454b4o3b4o798b4ob4o454b4o3b4o798b4ob4o454b4o3b4o
798b4ob4o454b4o3b4o798b4ob4o$144b3o4b4o354b5o440b7o455b3o4b4o354b5o
440b7o455b3o4b4o354b5o440b7o455b3o4b4o354b5o440b7o455b3o4b4o354b5o440b
7o455b3o4b4o354b5o440b7o455b3o4b4o354b5o440b7o$144b2o5b4o353b2o2b3o
440b5o456b2o5b4o353b2o2b3o440b5o456b2o5b4o353b2o2b3o440b5o456b2o5b4o
353b2o2b3o440b5o456b2o5b4o353b2o2b3o440b5o456b2o5b4o353b2o2b3o440b5o
456b2o5b4o353b2o2b3o440b5o$144b2o5b4o352b2o3b4o440b3o457b2o5b4o352b2o
3b4o440b3o457b2o5b4o352b2o3b4o440b3o457b2o5b4o352b2o3b4o440b3o457b2o5b
4o352b2o3b4o440b3o457b2o5b4o352b2o3b4o440b3o457b2o5b4o352b2o3b4o440b3o
$145b2o2b6o352bo4b5o900b2o2b6o352bo4b5o900b2o2b6o352bo4b5o900b2o2b6o
352bo4b5o900b2o2b6o352bo4b5o900b2o2b6o352bo4b5o900b2o2b6o352bo4b5o$
146b2ob4o354b2o3b5o901b2ob4o354b2o3b5o901b2ob4o354b2o3b5o901b2ob4o354b
2o3b5o901b2ob4o354b2o3b5o901b2ob4o354b2o3b5o901b2ob4o354b2o3b5o$147b4o
356b9o903b4o356b9o903b4o356b9o903b4o356b9o903b4o356b9o903b4o356b9o903b
4o356b9o$508b8o1264b8o1264b8o1264b8o1264b8o1264b8o1264b8o$508b7o1265b
7o1265b7o1265b7o1265b7o1265b7o1265b7o$509b5o1267b5o1267b5o1267b5o1267b
5o1267b5o1267b5o$1078b4o1268b4o1268b4o1268b4o1268b4o1268b4o1268b4o$
1076b4ob2o1265b4ob2o1265b4ob2o1265b4ob2o1265b4ob2o1265b4ob2o1265b4ob2o
$1075b5o2b2o1263b5o2b2o1263b5o2b2o1263b5o2b2o1263b5o2b2o1263b5o2b2o
1263b5o2b2o$1075b4o4bo1263b4o4bo1263b4o4bo1263b4o4bo1263b4o4bo1263b4o
4bo1263b4o4bo$1074b5o4b2o1261b5o4b2o1261b5o4b2o1261b5o4b2o1261b5o4b2o
1261b5o4b2o1261b5o4b2o$720b2o352b5o2b4o907b2o352b5o2b4o907b2o352b5o2b
4o907b2o352b5o2b4o907b2o352b5o2b4o907b2o352b5o2b4o907b2o352b5o2b4o$
719b5o351b9o907b5o351b9o907b5o351b9o907b5o351b9o907b5o351b9o907b5o351b
9o907b5o351b9o$717b5ob2o351b8o905b5ob2o351b8o905b5ob2o351b8o905b5ob2o
351b8o905b5ob2o351b8o905b5ob2o351b8o905b5ob2o351b8o$716b4o4bo352b6o
905b4o4bo352b6o905b4o4bo352b6o905b4o4bo352b6o905b4o4bo352b6o905b4o4bo
352b6o905b4o4bo352b6o$715b5o5bo352b4o905b5o5bo352b4o905b5o5bo352b4o
905b5o5bo352b4o905b5o5bo352b4o905b5o5bo352b4o905b5o5bo352b4o$715b4o6b
2o209b2o1049b4o6b2o209b2o1049b4o6b2o209b2o1049b4o6b2o209b2o1049b4o6b2o
209b2o1049b4o6b2o209b2o1049b4o6b2o209b2o$715b4o5b3o208b4o1048b4o5b3o
208b4o1048b4o5b3o208b4o1048b4o5b3o208b4o1048b4o5b3o208b4o1048b4o5b3o
208b4o1048b4o5b3o208b4o$715b5o3b3o207b2ob5o1046b5o3b3o207b2ob5o1046b5o
3b3o207b2ob5o1046b5o3b3o207b2ob5o1046b5o3b3o207b2ob5o1046b5o3b3o207b2o
b5o1046b5o3b3o207b2ob5o$717b8o208bo4b4o1047b8o208bo4b4o1047b8o208bo4b
4o1047b8o208bo4b4o1047b8o208bo4b4o1047b8o208bo4b4o1047b8o208bo4b4o$
717b8o207b2o4b5o1046b8o207b2o4b5o1046b8o207b2o4b5o1046b8o207b2o4b5o
1046b8o207b2o4b5o1046b8o207b2o4b5o1046b8o207b2o4b5o$718b7o206b3o5b4o
1047b7o206b3o5b4o1047b7o206b3o5b4o1047b7o206b3o5b4o1047b7o206b3o5b4o
1047b7o206b3o5b4o1047b7o206b3o5b4o$719b5o208b3o4b4o1048b5o208b3o4b4o
1048b5o208b3o4b4o1048b5o208b3o4b4o1048b5o208b3o4b4o1048b5o208b3o4b4o
1048b5o208b3o4b4o$933b3ob5o1263b3ob5o1263b3ob5o1263b3ob5o1263b3ob5o
1263b3ob5o1263b3ob5o$933b8o1264b8o1264b8o1264b8o1264b8o1264b8o1264b8o$
933b7o1265b7o1265b7o1265b7o1265b7o1265b7o1265b7o$934b5o1267b5o1267b5o
1267b5o1267b5o1267b5o1267b5o$869bo1271bo1271bo1271bo1271bo1271bo1271bo
$867b5o1267b5o1267b5o1267b5o1267b5o1267b5o1267b5o$865b4o2b2o1264b4o2b
2o1264b4o2b2o1264b4o2b2o1264b4o2b2o1264b4o2b2o1264b4o2b2o$864b5o3b2o
1262b5o3b2o1262b5o3b2o1262b5o3b2o1262b5o3b2o1262b5o3b2o1262b5o3b2o$
864b4o5bo1262b4o5bo1262b4o5bo1262b4o5bo1262b4o5bo1262b4o5bo1262b4o5bo$
864b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b4o4b2o1262b
4o4b2o$864b5ob4o150bo1111b5ob4o150bo1111b5ob4o150bo1111b5ob4o150bo
1111b5ob4o150bo1111b5ob4o150bo1111b5ob4o150bo$865b8o150b3o1111b8o150b
3o1111b8o150b3o1111b8o150b3o1111b8o150b3o1111b8o150b3o1111b8o150b3o$
866b7o149b7o1109b7o149b7o1109b7o149b7o1109b7o149b7o1109b7o149b7o1109b
7o149b7o1109b7o149b7o$867b5o149bo3b6o1108b5o149bo3b6o1108b5o149bo3b6o
1108b5o149bo3b6o1108b5o149bo3b6o1108b5o149bo3b6o1108b5o149bo3b6o$814bo
53b3o149bo5b5o1055bo53b3o149bo5b5o1055bo53b3o149bo5b5o1055bo53b3o149bo
5b5o1055bo53b3o149bo5b5o1055bo53b3o149bo5b5o1055bo53b3o149bo5b5o$812b
5o202b2o6b4o1053b5o202b2o6b4o1053b5o202b2o6b4o1053b5o202b2o6b4o1053b5o
202b2o6b4o1053b5o202b2o6b4o1053b5o202b2o6b4o$810b5ob2o201b3o5b4o1051b
5ob2o201b3o5b4o1051b5ob2o201b3o5b4o1051b5ob2o201b3o5b4o1051b5ob2o201b
3o5b4o1051b5ob2o201b3o5b4o1051b5ob2o201b3o5b4o$809b5o3b2o201b3o3b5o
1050b5o3b2o201b3o3b5o1050b5o3b2o201b3o3b5o1050b5o3b2o201b3o3b5o1050b5o
3b2o201b3o3b5o1050b5o3b2o201b3o3b5o1050b5o3b2o201b3o3b5o$809b4o5bo201b
4ob5o1051b4o5bo201b4ob5o1051b4o5bo201b4ob5o1051b4o5bo201b4ob5o1051b4o
5bo201b4ob5o1051b4o5bo201b4ob5o1051b4o5bo201b4ob5o$808b4o5b3o201b8o80b
6o965b4o5b3o201b8o80b6o965b4o5b3o201b8o80b6o965b4o5b3o201b8o80b6o965b
4o5b3o201b8o80b6o965b4o5b3o201b8o80b6o965b4o5b3o201b8o80b6o$808b5o4b2o
202b7o79b5o2b2o964b5o4b2o202b7o79b5o2b2o964b5o4b2o202b7o79b5o2b2o964b
5o4b2o202b7o79b5o2b2o964b5o4b2o202b7o79b5o2b2o964b5o4b2o202b7o79b5o2b
2o964b5o4b2o202b7o79b5o2b2o$756b4o49b5ob4o202b6o80b5o3bo912b4o49b5ob4o
202b6o80b5o3bo912b4o49b5ob4o202b6o80b5o3bo912b4o49b5ob4o202b6o80b5o3bo
912b4o49b5ob4o202b6o80b5o3bo912b4o49b5ob4o202b6o80b5o3bo912b4o49b5ob4o
202b6o80b5o3bo$754b7o49b8o205b3o80b4o5b2o909b7o49b8o205b3o80b4o5b2o
909b7o49b8o205b3o80b4o5b2o909b7o49b8o205b3o80b4o5b2o909b7o49b8o205b3o
80b4o5b2o909b7o49b8o205b3o80b4o5b2o909b7o49b8o205b3o80b4o5b2o$752b5o3b
2o49b7o288b4o4b3o907b5o3b2o49b7o288b4o4b3o907b5o3b2o49b7o288b4o4b3o
907b5o3b2o49b7o288b4o4b3o907b5o3b2o49b7o288b4o4b3o907b5o3b2o49b7o288b
4o4b3o907b5o3b2o49b7o288b4o4b3o$177b3o572b4o5b2o49b5o289b4o4b3o332b3o
572b4o5b2o49b5o289b4o4b3o332b3o572b4o5b2o49b5o289b4o4b3o332b3o572b4o5b
2o49b5o289b4o4b3o332b3o572b4o5b2o49b5o289b4o4b3o332b3o572b4o5b2o49b5o
289b4o4b3o332b3o572b4o5b2o49b5o289b4o4b3o$176b5o570b5o5b2o50b3o291b9o
332b5o570b5o5b2o50b3o291b9o332b5o570b5o5b2o50b3o291b9o332b5o570b5o5b2o
50b3o291b9o332b5o570b5o5b2o50b3o291b9o332b5o570b5o5b2o50b3o291b9o332b
5o570b5o5b2o50b3o291b9o$175b7o569b4o5b3o345b8o331b7o569b4o5b3o345b8o
331b7o569b4o5b3o345b8o331b7o569b4o5b3o345b8o331b7o569b4o5b3o345b8o331b
7o569b4o5b3o345b8o331b7o569b4o5b3o345b8o$174b4ob4o568b5o4b3o346b6o331b
4ob4o568b5o4b3o346b6o331b4ob4o568b5o4b3o346b6o331b4ob4o568b5o4b3o346b
6o331b4ob4o568b5o4b3o346b6o331b4ob4o568b5o4b3o346b6o331b4ob4o568b5o4b
3o346b6o$173b4o3b4o568b10o348b5o330b4o3b4o568b10o348b5o330b4o3b4o568b
10o348b5o330b4o3b4o568b10o348b5o330b4o3b4o568b10o348b5o330b4o3b4o568b
10o348b5o330b4o3b4o568b10o348b5o$173b3o5b3o570b8o683b3o5b3o570b8o683b
3o5b3o570b8o683b3o5b3o570b8o683b3o5b3o570b8o683b3o5b3o570b8o683b3o5b3o
570b8o$173b3o5b3o571b6o155bo528b3o5b3o571b6o155bo528b3o5b3o571b6o155bo
528b3o5b3o571b6o155bo528b3o5b3o571b6o155bo528b3o5b3o571b6o155bo528b3o
5b3o571b6o155bo$173b3o4b4o571b6o154b4o45b4o477b3o4b4o571b6o154b4o45b4o
477b3o4b4o571b6o154b4o45b4o477b3o4b4o571b6o154b4o45b4o477b3o4b4o571b6o
154b4o45b4o477b3o4b4o571b6o154b4o45b4o477b3o4b4o571b6o154b4o45b4o$174b
4ob4o117b4o610b7o42b6o477b4ob4o117b4o610b7o42b6o477b4ob4o117b4o610b7o
42b6o477b4ob4o117b4o610b7o42b6o477b4ob4o117b4o610b7o42b6o477b4ob4o117b
4o610b7o42b6o477b4ob4o117b4o610b7o42b6o$175b7o117b6o608b10o39b8o477b7o
117b6o608b10o39b8o477b7o117b6o608b10o39b8o477b7o117b6o608b10o39b8o477b
7o117b6o608b10o39b8o477b7o117b6o608b10o39b8o477b7o117b6o608b10o39b8o$
176b5o117b8o606b2o4b5o38b3o3b4o477b5o117b8o606b2o4b5o38b3o3b4o477b5o
117b8o606b2o4b5o38b3o3b4o477b5o117b8o606b2o4b5o38b3o3b4o477b5o117b8o
606b2o4b5o38b3o3b4o477b5o117b8o606b2o4b5o38b3o3b4o477b5o117b8o606b2o4b
5o38b3o3b4o$177b3o117b4o2b4o80b4o521bo6b4o37b4o4b4o477b3o117b4o2b4o80b
4o521bo6b4o37b4o4b4o477b3o117b4o2b4o80b4o521bo6b4o37b4o4b4o477b3o117b
4o2b4o80b4o521bo6b4o37b4o4b4o477b3o117b4o2b4o80b4o521bo6b4o37b4o4b4o
477b3o117b4o2b4o80b4o521bo6b4o37b4o4b4o477b3o117b4o2b4o80b4o521bo6b4o
37b4o4b4o$296b4o4b4o78b6o520bo6b4o37b3o6b3o596b4o4b4o78b6o520bo6b4o37b
3o6b3o596b4o4b4o78b6o520bo6b4o37b3o6b3o596b4o4b4o78b6o520bo6b4o37b3o6b
3o596b4o4b4o78b6o520bo6b4o37b3o6b3o596b4o4b4o78b6o520bo6b4o37b3o6b3o
596b4o4b4o78b6o520bo6b4o37b3o6b3o$296b3o6b3o77b8o519b2o4b5o37b4o4b4o
596b3o6b3o77b8o519b2o4b5o37b4o4b4o596b3o6b3o77b8o519b2o4b5o37b4o4b4o
596b3o6b3o77b8o519b2o4b5o37b4o4b4o596b3o6b3o77b8o519b2o4b5o37b4o4b4o
596b3o6b3o77b8o519b2o4b5o37b4o4b4o596b3o6b3o77b8o519b2o4b5o37b4o4b4o$
296b4o4b4o76b9o431b3o86b10o38b4o2b4o597b4o4b4o76b9o431b3o86b10o38b4o2b
4o597b4o4b4o76b9o431b3o86b10o38b4o2b4o597b4o4b4o76b9o431b3o86b10o38b4o
2b4o597b4o4b4o76b9o431b3o86b10o38b4o2b4o597b4o4b4o76b9o431b3o86b10o38b
4o2b4o597b4o4b4o76b9o431b3o86b10o38b4o2b4o$297b4o3b3o76b5o2b4o429b5o
86b7o41b8o599b4o3b3o76b5o2b4o429b5o86b7o41b8o599b4o3b3o76b5o2b4o429b5o
86b7o41b8o599b4o3b3o76b5o2b4o429b5o86b7o41b8o599b4o3b3o76b5o2b4o429b5o
86b7o41b8o599b4o3b3o76b5o2b4o429b5o86b7o41b8o599b4o3b3o76b5o2b4o429b5o
86b7o41b8o$298b8o77b4o5b2o428b7o86b4o44b6o601b8o77b4o5b2o428b7o86b4o
44b6o601b8o77b4o5b2o428b7o86b4o44b6o601b8o77b4o5b2o428b7o86b4o44b6o
601b8o77b4o5b2o428b7o86b4o44b6o601b8o77b4o5b2o428b7o86b4o44b6o601b8o
77b4o5b2o428b7o86b4o44b6o$299b6o78b5o4b2o427b4ob4o86bo47b4o603b6o78b5o
4b2o427b4ob4o86bo47b4o603b6o78b5o4b2o427b4ob4o86bo47b4o603b6o78b5o4b2o
427b4ob4o86bo47b4o603b6o78b5o4b2o427b4ob4o86bo47b4o603b6o78b5o4b2o427b
4ob4o86bo47b4o603b6o78b5o4b2o427b4ob4o86bo47b4o$195b2o103b4o80b5o3bo
427b4o4b3o636b2o103b4o80b5o3bo427b4o4b3o636b2o103b4o80b5o3bo427b4o4b3o
636b2o103b4o80b5o3bo427b4o4b3o636b2o103b4o80b5o3bo427b4o4b3o636b2o103b
4o80b5o3bo427b4o4b3o636b2o103b4o80b5o3bo427b4o4b3o$193b5o187b4ob2o428b
3o5b3o634b5o187b4ob2o428b3o5b3o634b5o187b4ob2o428b3o5b3o634b5o187b4ob
2o428b3o5b3o634b5o187b4ob2o428b3o5b3o634b5o187b4ob2o428b3o5b3o634b5o
187b4ob2o428b3o5b3o$192b7o188b4o429b3o5b3o633b7o188b4o429b3o5b3o633b7o
188b4o429b3o5b3o633b7o188b4o429b3o5b3o633b7o188b4o429b3o5b3o633b7o188b
4o429b3o5b3o633b7o188b4o429b3o5b3o$192b8o620b4o3b4o633b8o620b4o3b4o
633b8o620b4o3b4o633b8o620b4o3b4o633b8o620b4o3b4o633b8o620b4o3b4o633b8o
620b4o3b4o$191b10o620b4ob4o633b10o620b4ob4o633b10o620b4ob4o633b10o620b
4ob4o633b10o620b4ob4o633b10o620b4ob4o633b10o620b4ob4o$191b3o3b4o621b7o
634b3o3b4o621b7o634b3o3b4o621b7o634b3o3b4o621b7o634b3o3b4o621b7o634b3o
3b4o621b7o634b3o3b4o621b7o$191bo5b4o622b5o635bo5b4o622b5o635bo5b4o622b
5o635bo5b4o622b5o635bo5b4o622b5o635bo5b4o622b5o635bo5b4o622b5o$191b2o
4b4o623b3o636b2o4b4o623b3o636b2o4b4o623b3o636b2o4b4o623b3o636b2o4b4o
623b3o636b2o4b4o623b3o636b2o4b4o623b3o$192b2o2b4o1264b2o2b4o1264b2o2b
4o1264b2o2b4o1264b2o2b4o1264b2o2b4o1264b2o2b4o$193b6o1266b6o1266b6o
1266b6o1266b6o1266b6o1266b6o$195b2o1270b2o1270b2o1270b2o1270b2o1270b2o
1270b2o$139b3o1269b3o1269b3o1269b3o1269b3o1269b3o1269b3o$138b5o1267b5o
1267b5o1267b5o1267b5o1267b5o1267b5o$56b4o77b7o221b4o959b4o77b7o221b4o
959b4o77b7o221b4o959b4o77b7o221b4o959b4o77b7o221b4o959b4o77b7o221b4o
959b4o77b7o221b4o$55b6o76b8o219b6o957b6o76b8o219b6o957b6o76b8o219b6o
957b6o76b8o219b6o957b6o76b8o219b6o957b6o76b8o219b6o957b6o76b8o219b6o$
54b8o74b4o2b4o217b8o955b8o74b4o2b4o217b8o955b8o74b4o2b4o217b8o955b8o
74b4o2b4o217b8o955b8o74b4o2b4o217b8o955b8o74b4o2b4o217b8o955b8o74b4o2b
4o217b8o$53b9o73b3o4b4o216b9o954b9o73b3o4b4o216b9o954b9o73b3o4b4o216b
9o954b9o73b3o4b4o216b9o954b9o73b3o4b4o216b9o954b9o73b3o4b4o216b9o954b
9o73b3o4b4o216b9o$52b4o3b4o72b3o5b3o215b5o2b4o952b4o3b4o72b3o5b3o215b
5o2b4o952b4o3b4o72b3o5b3o215b5o2b4o952b4o3b4o72b3o5b3o215b5o2b4o952b4o
3b4o72b3o5b3o215b5o2b4o952b4o3b4o72b3o5b3o215b5o2b4o952b4o3b4o72b3o5b
3o215b5o2b4o$52b4o4b3o73bo5b4o215b4o5b2o952b4o4b3o73bo5b4o215b4o5b2o
952b4o4b3o73bo5b4o215b4o5b2o952b4o4b3o73bo5b4o215b4o5b2o952b4o4b3o73bo
5b4o215b4o5b2o952b4o4b3o73bo5b4o215b4o5b2o952b4o4b3o73bo5b4o215b4o5b2o
$52b4o5b2o74bo3b5o215b5o4bo953b4o5b2o74bo3b5o215b5o4bo953b4o5b2o74bo3b
5o215b5o4bo953b4o5b2o74bo3b5o215b5o4bo953b4o5b2o74bo3b5o215b5o4bo953b
4o5b2o74bo3b5o215b5o4bo953b4o5b2o74bo3b5o215b5o4bo$52b5o4bo75b8o217b4o
3b2o953b5o4bo75b8o217b4o3b2o953b5o4bo75b8o217b4o3b2o953b5o4bo75b8o217b
4o3b2o953b5o4bo75b8o217b4o3b2o953b5o4bo75b8o217b4o3b2o953b5o4bo75b8o
217b4o3b2o$53b4o3b2o77b3o221b4ob2o955b4o3b2o77b3o221b4ob2o955b4o3b2o
77b3o221b4ob2o955b4o3b2o77b3o221b4ob2o955b4o3b2o77b3o221b4ob2o955b4o3b
2o77b3o221b4ob2o955b4o3b2o77b3o221b4ob2o$54b7o79bo224b4o957b7o79bo224b
4o957b7o79bo224b4o957b7o79bo224b4o957b7o79bo224b4o957b7o79bo224b4o957b
7o79bo224b4o$56b3o1269b3o1269b3o1269b3o1269b3o1269b3o1269b3o12$36b3o
229b2o26b6o1006b3o229b2o26b6o1006b3o229b2o26b6o1006b3o229b2o26b6o1006b
3o229b2o26b6o1006b3o229b2o26b6o1006b3o229b2o26b6o$35b5o227b5o22b6o2b2o
1003b5o227b5o22b6o2b2o1003b5o227b5o22b6o2b2o1003b5o227b5o22b6o2b2o
1003b5o227b5o22b6o2b2o1003b5o227b5o22b6o2b2o1003b5o227b5o22b6o2b2o$34b
7o225b7o19b2ob2o6b2o1001b7o225b7o19b2ob2o6b2o1001b7o225b7o19b2ob2o6b2o
1001b7o225b7o19b2ob2o6b2o1001b7o225b7o19b2ob2o6b2o1001b7o225b7o19b2ob
2o6b2o1001b7o225b7o19b2ob2o6b2o$33b8o224b8o18b2o10bobo999b8o224b8o18b
2o10bobo999b8o224b8o18b2o10bobo999b8o224b8o18b2o10bobo999b8o224b8o18b
2o10bobo999b8o224b8o18b2o10bobo999b8o224b8o18b2o10bobo$32b5ob4o222b5ob
4o17bo12bob2o996b5ob4o222b5ob4o17bo12bob2o996b5ob4o222b5ob4o17bo12bob
2o996b5ob4o222b5ob4o17bo12bob2o996b5ob4o222b5ob4o17bo12bob2o996b5ob4o
222b5ob4o17bo12bob2o996b5ob4o222b5ob4o17bo12bob2o$31b5o3b3o221b5o3b3o
16b3o15b2o993b5o3b3o221b5o3b3o16b3o15b2o993b5o3b3o221b5o3b3o16b3o15b2o
993b5o3b3o221b5o3b3o16b3o15b2o993b5o3b3o221b5o3b3o16b3o15b2o993b5o3b3o
221b5o3b3o16b3o15b2o993b5o3b3o221b5o3b3o16b3o15b2o$31b4o6b2o220b4o5b3o
15b3o16b2o992b4o6b2o220b4o5b3o15b3o16b2o992b4o6b2o220b4o5b3o15b3o16b2o
992b4o6b2o220b4o5b3o15b3o16b2o992b4o6b2o220b4o5b3o15b3o16b2o992b4o6b2o
220b4o5b3o15b3o16b2o992b4o6b2o220b4o5b3o15b3o16b2o$31b5o5bo221b5o5bo
16b3o18bo991b5o5bo221b5o5bo16b3o18bo991b5o5bo221b5o5bo16b3o18bo991b5o
5bo221b5o5bo16b3o18bo991b5o5bo221b5o5bo16b3o18bo991b5o5bo221b5o5bo16b
3o18bo991b5o5bo221b5o5bo16b3o18bo$32b5o3b2o222b4o4b2o16b4o16bob2o990b
5o3b2o222b4o4b2o16b4o16bob2o990b5o3b2o222b4o4b2o16b4o16bob2o990b5o3b2o
222b4o4b2o16b4o16bob2o990b5o3b2o222b4o4b2o16b4o16bob2o990b5o3b2o222b4o
4b2o16b4o16bob2o990b5o3b2o222b4o4b2o16b4o16bob2o$33b5ob2o224b5ob2o18b
2o18b4o990b5ob2o224b5ob2o18b2o18b4o990b5ob2o224b5ob2o18b2o18b4o990b5ob
2o224b5ob2o18b2o18b4o990b5ob2o224b5ob2o18b2o18b4o990b5ob2o224b5ob2o18b
2o18b4o990b5ob2o224b5ob2o18b2o18b4o$35b5o227b5o19b2o19b5o990b5o227b5o
19b2o19b5o990b5o227b5o19b2o19b5o990b5o227b5o19b2o19b5o990b5o227b5o19b
2o19b5o990b5o227b5o19b2o19b5o990b5o227b5o19b2o19b5o$37bo231bo22bo20b2o
b2o991bo231bo22bo20b2ob2o991bo231bo22bo20b2ob2o991bo231bo22bo20b2ob2o
991bo231bo22bo20b2ob2o991bo231bo22bo20b2ob2o991bo231bo22bo20b2ob2o$
292b2o21bob2o1245b2o21bob2o1245b2o21bob2o1245b2o21bob2o1245b2o21bob2o
1245b2o21bob2o1245b2o21bob2o$168b4o121bo22bobo1121b4o121bo22bobo1121b
4o121bo22bobo1121b4o121bo22bobo1121b4o121bo22bobo1121b4o121bo22bobo
1121b4o121bo22bobo$167b6o121b2ob2o18bobo1119b6o121b2ob2o18bobo1119b6o
121b2ob2o18bobo1119b6o121b2ob2o18bobo1119b6o121b2ob2o18bobo1119b6o121b
2ob2o18bobo1119b6o121b2ob2o18bobo$166b8o121b5o18b2o1118b8o121b5o18b2o
1118b8o121b5o18b2o1118b8o121b5o18b2o1118b8o121b5o18b2o1118b8o121b5o18b
2o1118b8o121b5o18b2o$165b4o3b3o119b4o6b2o12b2o1117b4o3b3o119b4o6b2o12b
2o1117b4o3b3o119b4o6b2o12b2o1117b4o3b3o119b4o6b2o12b2o1117b4o3b3o119b
4o6b2o12b2o1117b4o3b3o119b4o6b2o12b2o1117b4o3b3o119b4o6b2o12b2o$164b4o
4b4o117b6o5b3o11b2o33b5o1078b4o4b4o117b6o5b3o11b2o33b5o1078b4o4b4o117b
6o5b3o11b2o33b5o1078b4o4b4o117b6o5b3o11b2o33b5o1078b4o4b4o117b6o5b3o
11b2o33b5o1078b4o4b4o117b6o5b3o11b2o33b5o1078b4o4b4o117b6o5b3o11b2o33b
5o$164b3o6b3o117b2o2bo5b5o9b3o32b7o1077b3o6b3o117b2o2bo5b5o9b3o32b7o
1077b3o6b3o117b2o2bo5b5o9b3o32b7o1077b3o6b3o117b2o2bo5b5o9b3o32b7o
1077b3o6b3o117b2o2bo5b5o9b3o32b7o1077b3o6b3o117b2o2bo5b5o9b3o32b7o
1077b3o6b3o117b2o2bo5b5o9b3o32b7o$164b4o4b4o116b3o8b6o7b3o32b9o1076b4o
4b4o116b3o8b6o7b3o32b9o1076b4o4b4o116b3o8b6o7b3o32b9o1076b4o4b4o116b3o
8b6o7b3o32b9o1076b4o4b4o116b3o8b6o7b3o32b9o1076b4o4b4o116b3o8b6o7b3o
32b9o1076b4o4b4o116b3o8b6o7b3o32b9o$165b4o2b4o117b3o2b4ob5o8bo2bo31b5o
2b4o1076b4o2b4o117b3o2b4ob5o8bo2bo31b5o2b4o1076b4o2b4o117b3o2b4ob5o8bo
2bo31b5o2b4o1076b4o2b4o117b3o2b4ob5o8bo2bo31b5o2b4o1076b4o2b4o117b3o2b
4ob5o8bo2bo31b5o2b4o1076b4o2b4o117b3o2b4ob5o8bo2bo31b5o2b4o1076b4o2b4o
117b3o2b4ob5o8bo2bo31b5o2b4o$166b8o118b14o7b2ob2o32b4o5b3o1076b8o118b
14o7b2ob2o32b4o5b3o1076b8o118b14o7b2ob2o32b4o5b3o1076b8o118b14o7b2ob2o
32b4o5b3o1076b8o118b14o7b2ob2o32b4o5b3o1076b8o118b14o7b2ob2o32b4o5b3o
1076b8o118b14o7b2ob2o32b4o5b3o$167b6o120b8o2b2o7b2ob2o33b4o6b3o1076b6o
120b8o2b2o7b2ob2o33b4o6b3o1076b6o120b8o2b2o7b2ob2o33b4o6b3o1076b6o120b
8o2b2o7b2ob2o33b4o6b3o1076b6o120b8o2b2o7b2ob2o33b4o6b3o1076b6o120b8o2b
2o7b2ob2o33b4o6b3o1076b6o120b8o2b2o7b2ob2o33b4o6b3o$168b4o121b12obo5bo
b2o34b3o8bobo1076b4o121b12obo5bob2o34b3o8bobo1076b4o121b12obo5bob2o34b
3o8bobo1076b4o121b12obo5bob2o34b3o8bobo1076b4o121b12obo5bob2o34b3o8bob
o1076b4o121b12obo5bob2o34b3o8bobo1076b4o121b12obo5bob2o34b3o8bobo$295b
13o3b4o35b4o8bobo1202b13o3b4o35b4o8bobo1202b13o3b4o35b4o8bobo1202b13o
3b4o35b4o8bobo1202b13o3b4o35b4o8bobo1202b13o3b4o35b4o8bobo1202b13o3b4o
35b4o8bobo$297b17o37b3o9bobo1203b17o37b3o9bobo1203b17o37b3o9bobo1203b
17o37b3o9bobo1203b17o37b3o9bobo1203b17o37b3o9bobo1203b17o37b3o9bobo$
300b12o40b3o9b3o1205b12o40b3o9b3o1205b12o40b3o9b3o1205b12o40b3o9b3o
1205b12o40b3o9b3o1205b12o40b3o9b3o1205b12o40b3o9b3o$301b10o42bobo10bo
1206b10o42bobo10bo1206b10o42bobo10bo1206b10o42bobo10bo1206b10o42bobo
10bo1206b10o42bobo10bo1206b10o42bobo10bo$302b9o43bo10b2o1207b9o43bo10b
2o1207b9o43bo10b2o1207b9o43bo10b2o1207b9o43bo10b2o1207b9o43bo10b2o
1207b9o43bo10b2o$304b5o45bo10b3o1208b5o45bo10b3o1208b5o45bo10b3o1208b
5o45bo10b3o1208b5o45bo10b3o1208b5o45bo10b3o1208b5o45bo10b3o$354b2o9b2o
1259b2o9b2o1259b2o9b2o1259b2o9b2o1259b2o9b2o1259b2o9b2o1259b2o9b2o$
354bo10b2o1259bo10b2o1259bo10b2o1259bo10b2o1259bo10b2o1259bo10b2o1259b
o10b2o$346b2o5b2o9b3o1251b2o5b2o9b3o1251b2o5b2o9b3o1251b2o5b2o9b3o
1251b2o5b2o9b3o1251b2o5b2o9b3o1251b2o5b2o9b3o$344b10o10b2o1250b10o10b
2o1250b10o10b2o1250b10o10b2o1250b10o10b2o1250b10o10b2o1250b10o10b2o$
343b6o2bo11b3o1249b6o2bo11b3o1249b6o2bo11b3o1249b6o2bo11b3o1249b6o2bo
11b3o1249b6o2bo11b3o1249b6o2bo11b3o$342b4o18bo1249b4o18bo1249b4o18bo
1249b4o18bo1249b4o18bo1249b4o18bo1249b4o18bo$342b4o14bob2o1250b4o14bob
2o1250b4o14bob2o1250b4o14bob2o1250b4o14bob2o1250b4o14bob2o1250b4o14bob
2o$342b3o14bob2o1251b3o14bob2o1251b3o14bob2o1251b3o14bob2o1251b3o14bob
2o1251b3o14bob2o1251b3o14bob2o$342bobo13bob2o1252bobo13bob2o1252bobo
13bob2o1252bobo13bob2o1252bobo13bob2o1252bobo13bob2o1252bobo13bob2o$
342b2o15b2o1253b2o15b2o1253b2o15b2o1253b2o15b2o1253b2o15b2o1253b2o15b
2o1253b2o15b2o$344b2o13bo1256b2o13bo1256b2o13bo1256b2o13bo1256b2o13bo
1256b2o13bo1256b2o13bo$344b3o9bobo1257b3o9bobo1257b3o9bobo1257b3o9bobo
1257b3o9bobo1257b3o9bobo1257b3o9bobo$345b3o7bobo1259b3o7bobo1259b3o7bo
bo1259b3o7bobo1259b3o7bobo1259b3o7bobo1259b3o7bobo$346bobo4b2obo1261bo
bo4b2obo1261bobo4b2obo1261bobo4b2obo1261bobo4b2obo1261bobo4b2obo1261bo
bo4b2obo$347b9o1263b9o1263b9o1263b9o1263b9o1263b9o1263b9o$348b7o1265b
7o1265b7o1265b7o1265b7o1265b7o1265b7o!

A single tile with a signal on the right setting it to 1:

Code: Select all

x = 1585, y = 1337, rule = R5,C0,M1,S34..58,B34..45,NM
140$347b3o$346b5o$345b7o$345b8o$344b4o2b4o$344b2o4b4o$343b2o5b4o$344bo
5b4o$345bo3b5o$346b7o$347b3o511$116b4o1268b4o$115b6o1266b6o$114b3o2b3o
1264b3o2b3o$114b3o2b3o1264b3o2b3o$114b3o2b3o1264b3o2b3o$114b3o2b3o
1264b3o2b3o$114b8o1264b8o$115b6o1266b6o$116b4o1268b4o53$203b4o$203b6o$
202b8o$202b9o$201bo3b6o$200bo6b5o$199b2o6b5o$198b2o7b5o$198b3o6b4o$
199b4o2b5o$199b10o$200b8o$200b7o$200b7o993b5o$201b5o993b7o$1199b7o$
1198b9o$1198b3o3b4o27b6o$1197b4o4b4o26b6o$1198bo5b5o25b8o$1198b2o4b4o
26b8o$708b3o488b2o2b5o25b10o$145b2o214b4o342b5o488b7o26b3o4b3o$143b6o
210b4ob2o340b7o488b3o29b3o4b3o$143b6o210b3o3b2o339b8o520b2o4b2o$142b8o
208b4o4b2o337b4ob5o519b2o4b2o$142b8o208b4o4b2o337b3o3b5o519b6o$141b4o
2b4o207b4o2bob2o336b3o5b4o521b2o$141b3o4b3o208b9o337bo5b5o$141b3o4b3o
209b7o338b2o3b5o$142b2o4b2o211b6o339b2o2b4o$143b2o2b2o212b4o342b5o$
144b4o561bo11$636b4o$635b2ob4o$634b2o2b5o$633b2o5b4o$633b2o5b4o$633b3o
4b4o$634b3o2b5o$634b9o$635b7o$635b6o$636b4o11$401bo325b5o$399b5o322b7o
$397b4o2b2o320b8o$396b4o4bo319b5ob3o$396b4o4b2o317b4o4b3o$396b4o4b2o
317b4o5b3o$396b9o318b5o4b2o$397b8o319b4o4bo$398b6o321b5ob2o$399b5o323b
4o$728b2o23$920bo$918b4o133b3o$916b5ob2o130b6o$915b5o3bo128b5o2b2o$
915b4o4b2o126b5o4bo$914b4o5b2o126b4o5b2o$915b4o3b3o126b4o4b3o$915b5ob
4o126b5o2b3o$916b8o128b9o$917b7o130b6o$918b5o131b6o$1055b4o7$467b5o82b
5o$467b6o80b6o$466b8o78b8o$466b9o76b9o$465b3o4b4o74b4o4b3o$465b2o5b4o
74b4o5b2o$465b2o5b4o74b4o5b2o$466bo4b5o74b5o4bo$467bo2b5o76b5o2bo225b
2o$468b4o82b4o225b5o$469b2o84b2o225b7o$781b8o$780b5ob3o$779b4o4b3o$
779b4o5b2o$779b4o6bo$779b5o4bo$780b5o2b2o$782b6o$399b5o380b2o$398b6o$
397b8o$396b9o$396b4o4b2o$396b4o4b2o$396b4o4bo$397b4o2b2o$399b5o$401bo
11$636b4o$635b6o594b6o$635b7o593b6o$634b9o591b8o$634b3o2b5o590b8o$633b
3o4b4o589b4o2b4o$633b2o5b4o589b3o4b3o$143b6o484b2o5b4o588b4o4b4o$143b
6o485b2o2b5o590b3o4b3o$142b8o485b2ob4o592b2o4b2o$142b8o486b4o595b2o2b
2o$141b10o1085b4o$141b3o4b3o$141b3o4b3o$142b2o4b2o596b5o$142b2o4b2o
595b6o$143b6o595b8o$145b2o596b9o$743b4o4b2o$743b4o4b2o$743b4o4bo$744b
4o2b2o$746b5o$748bo28$510b5o866bo$509bo2b4o863b4o$508bo4b4o860b7o$507b
2o4b5o858b9o$507b3o4b4o857b5o4b2o$351bo155b4o2b5o857b4o6bo$349b5o154b
9o858b4o6bo$347b4o2b2o153b8o859b5o4b2o$346b5o3b2o153b6o861b9o$345b5o5b
o153b6o862b7o$345b4o5b3o1022b4o$345b5o3b3o1025bo$346b5ob4o$347b8o$348b
7o700b4o$349b5o564b5o131b6o$350b3o564b7o130b6o$916b8o128b9o$915b5ob4o
126b5o2b3o$915b4o3b3o126b4o4b3o$914b4o5b2o126b4o5b2o$915b4o4b2o126b5o
4bo$915b5o3bo128b5o2b2o$916b5ob2o130b6o$918b4o133b3o$920bo17$503b2o$
501b5o$500b7o$500b8o$499b10o$499b4o3b4o$498b4o5b4o$498b3o6b4o675b2o$
499b2o5b5o673b6o$500b2o3b5o673b2o2b5o$501b2ob5o673b2o4b4o$502b5o675bo
5b4o$503b3o676b2o4b4o$1182b4ob5o$1183b8o$1183b7o$1184b5o$1185b3o$256b
2o$255b4o$252b5ob2o$251b5o4bo$250b5o6b2o$250b5o5b4o258b4o$250b5o5b4o
257b6o$251b5o3b5o256b8o$252b4o3b4o257b9o$253b10o256b4o3b5o$254b8o257b
3o5b4o$255b6o258b2o6b4o$256b4o259b2o6b4o$520bo5b5o$521bo2b7o$521b9o$
522b6o$524b2o8$1139b4o$1138b6o$1137b8o$1137b9o91b2o$1137b10o88b6o$
1137b4ob6o87b6o$1136b4o4b5o85b8o$1136b5o3b6o84b8o$1140b2o3b6o82b4o2b4o
$143b6o992b3o2b5o82b3o4b3o$143b6o994b9o81b3o4b3o$142b8o994b8o82b2o4b2o
$142b8o994b8o83b2o2b2o$141b4o2b4o993b8o84b4o$141b3o4b3o993b8o$140b4o4b
4o976b6o10b7o$141b3o4b3o976b8o8b7o$142b2o4b2o977b5o2b2o6b6o$143b2o2b2o
37b5o937b4o3b12o$144b4o37b7o937b4o3b10o$185b8o937b4ob10o$185b9o937b13o
$184b3o3b5o936b12o$183b3o5b4o885b3o49b11o$184b2o5b4o884b5o48b10o$185bo
4b5o883b7o49b7o$185b2o2b5o883b4ob4o49b5o$186b6o79b4o801b4o3b4o$188b2o
80b7o799b3o5b3o$269b9o798b3o5b3o$269b10o797b4o4b3o$268b4o3b4o798b4ob4o
$268b3o4b4o354b5o440b7o$268b2o5b4o353b2o2b3o440b5o$268b2o5b4o352b2o3b
4o440b3o$269b2o2b6o352bo4b5o$270b2ob4o354b2o3b5o$271b4o356b9o$632b8o$
632b7o$633b5o$1202b4o$1200b4ob2o$1199b5o2b2o$1199b4o4bo$1198b5o4b2o$
844b2o352b5o2b4o$843b5o351b9o$841b5ob2o351b8o$840b4o4bo352b6o$839b5o5b
o352b4o$839b4o6b2o209b2o$839b4o5b3o208b4o$839b5o3b3o207b2ob5o$841b8o
208bo4b4o$841b8o207b2o4b5o$842b7o206b3o5b4o$843b5o208b3o4b4o$1057b3ob
5o$1057b8o$1057b7o$1058b5o$993bo$991b5o$989b4o2b2o$988b5o3b2o$988b4o5b
o$988b4o4b2o$988b5ob4o150bo$989b8o150b3o$990b7o149b7o$991b5o149bo3b6o$
938bo53b3o149bo5b5o$936b5o202b2o6b4o$934b5ob2o201b3o5b4o$933b5o3b2o
201b3o3b5o$933b4o5bo201b4ob5o$932b4o5b3o201b8o80b6o$932b5o4b2o202b7o
79b5o2b2o$880b4o49b5ob4o202b6o80b5o3bo$878b7o49b8o205b3o80b4o5b2o$876b
5o3b2o49b7o288b4o4b3o$301b3o572b4o5b2o49b5o289b4o4b3o$300b5o570b5o5b2o
50b3o291b9o$299b7o569b4o5b3o345b8o$298b4ob4o568b5o4b3o346b6o$297b4o3b
4o568b10o348b5o$297b3o5b3o570b8o$297b3o5b3o571b6o155bo$297b3o4b4o571b
6o154b4o45b4o$298b4ob4o117b4o610b7o42b6o$299b7o117b6o608b10o39b8o$300b
5o117b8o606b2o4b5o38b3o3b4o$301b3o117b4o2b4o80b4o521bo6b4o37b4o4b4o$
420b4o4b4o78b6o520bo6b4o37b3o6b3o$420b3o6b3o77b8o519b2o4b5o37b4o4b4o$
420b4o4b4o76b9o431b3o86b10o38b4o2b4o$421b4o3b3o76b5o2b4o429b5o86b7o41b
8o$422b8o77b4o5b2o428b7o86b4o44b6o$423b6o78b5o4b2o427b4ob4o86bo47b4o$
319b2o103b4o80b5o3bo427b4o4b3o$317b5o187b4ob2o428b3o5b3o$316b7o188b4o
429b3o5b3o$316b8o620b4o3b4o$315b10o620b4ob4o$315b3o3b4o621b7o$315bo5b
4o622b5o$315b2o4b4o623b3o$316b2o2b4o$317b6o$319b2o$263b3o$262b5o$180b
4o77b7o221b4o$179b6o76b8o219b6o$178b8o74b4o2b4o217b8o$177b9o73b3o4b4o
216b9o$176b4o3b4o72b3o5b3o215b5o2b4o$176b4o4b3o73bo5b4o215b4o5b2o$176b
4o5b2o74bo3b5o215b5o4bo$176b5o4bo75b8o217b4o3b2o$177b4o3b2o77b3o221b4o
b2o$178b7o79bo224b4o$180b3o12$160b3o229b2o26b6o$159b5o227b5o22b6o2b2o$
158b7o225b7o19b2ob2o6b2o$157b8o224b8o18b2o10bobo$156b5ob4o222b5ob4o17b
o12bob2o$155b5o3b3o221b5o3b3o16b3o15b2o$155b4o6b2o220b4o5b3o15b3o16b2o
$155b5o5bo221b5o5bo16b3o18bo$156b5o3b2o222b4o4b2o16b4o16bob2o$157b5ob
2o224b5ob2o18b2o18b4o$159b5o227b5o19b2o19b5o$161bo231bo22bo20b2ob2o$
416b2o21bob2o$292b4o121bo22bobo$291b6o121b2ob2o18bobo$290b8o121b5o18b
2o$289b4o3b3o119b4o6b2o12b2o$288b4o4b4o117b6o5b3o11b2o33b5o$288b3o6b3o
117b2o2bo5b5o9b3o32b7o$288b4o4b4o116b3o8b6o7b3o32b9o$289b4o2b4o117b3o
2b4ob5o8bo2bo31b5o2b4o$290b8o118b14o7b2ob2o32b4o5b3o$291b6o120b8o2b2o
7b2ob2o33b4o6b3o$292b4o121b12obo5bob2o34b3o8bobo$419b13o3b4o35b4o8bobo
$421b17o37b3o9bobo$424b12o40b3o9b3o$425b10o42bobo10bo$426b9o43bo10b2o$
428b5o45bo10b3o$478b2o9b2o$478bo10b2o$470b2o5b2o9b3o$468b10o10b2o$467b
6o2bo11b3o$466b4o18bo$466b4o14bob2o$466b3o14bob2o$466bobo13bob2o$466b
2o15b2o$468b2o13bo$468b3o9bobo$469b3o7bobo$470bobo4b2obo$471b9o$472b7o!

Later on I'll summarize the technology used in this design.

[confocaloid]

.

[Yoel]

What a coincidence! Lately I was working on this project and did not bother to check, if someone already has done it (I did check in January, I think).

However, FWKnightship's design is a "rosary". Mine is infinitely extendable tiles, so my statement regarding Rule 110 tiles is still correct (unless there is another known example). It also has a display (irrelevant, but nice). It is interesting that his circuit uses diagonal ships. As they have a different velocity, I did not consider using them.

Rule 110 tiles in Bosco. Made almost entirely of boscos and common 5c/6 ships. The SLs used as bits in the binary counters could be replaced by boscos as well (the construction would be somewhat larger though). As far as I know, this is the first example of Rule 110 tiles in any LtL rule, is it?

W110 simulator in Bosco:

Code: Select all

x = 967, y = 836, rule = R5,C0,M1,S34..58,B34..45,NM
646b4o$644b8o$644bo3b5o130b2o$643bo5b4o128b6o$642b3o5b3o127b2o2b5o$
643b3o3b4o127bo4b5o$643b4ob5o126b2o5b4o$644b8o127b3o4b4o$644b7o128b4o
2b5o$645b5o130b9o$647bo133b6o$781b6o$782b4o10$626b3o$362b5o258b5o$361b
2o2b3o256bo2b5o131bo$360b2o3b4o126b4o124b2o3b5o129b4o$360bo4b5o124b2ob
3o122b3o4b4o127b2ob5o$360b2o3b5o123bo3b5o120b3o4b4o127bo3b5o$360b9o
123b2o3b5o121b3o3b4o126b2o4b4o$361b8o123b2o3b5o121b9o127b2o5b4o$361b7o
124b10o122b7o128b3o3b4o$362b5o126b9o122b6o129b4ob5o$493b8o125b3o131b8o
$494b6o260b7o$495b4o262b5o10$344bo$342b5o$341b2o2b4o$341bo4b4o125b4o$
340b2o4b4o124b2ob4o$340b2o4b4o123b2o3b4o$341b9o123bo4b4o$341b8o124bo4b
4o$342b6o125b9o$342b5o126b9o$474b7o$475b5o$476b2o17$293b4o$291b7o$290b
5o2b2o$289b4o5b2o$289b4o5b2o$289b4o4b3o$289b5o2b3o$290b9o$292b6o$292b
6o$293b4o8$599b5o$599b6o$598b8o$598b9o$597b3o3b5o$597b2o5b4o$26b2o570b
o4b5o$25b4o569b2o3b4o$24b2ob4o568b2ob4o$23bo4b4o568b4o$22b2o5b4o$22b2o
5b4o$22b3o4b4o$23b3o2b4o$23b8o$23b7o288b3o$24b5o288b5o$26b2o288b7o$
315b8o$314b5ob4o$314b4o4b3o$314b4o4b3o$281bo32b4o5bo$142b3o135b4o30b6o
2bo$141b6o132b7o30b6o92bo$140b9o129b10o30b3o92b4o$139b2o3b5o128b2o4b5o
124b7o$3b4o132bo5b5o127bo6b4o123b9o126b3o$2b2ob4o130bo5b5o127bo6b4o
122b2o4b5o124b6o$b2o3b4o129b2o3b5o128b2o4b5o122bo6b4o123b9o128b2o$bo5b
4o129b9o129b10o122bo6b4o122b2o3b5o126b7o$2o5b4o130b6o132b7o124b2o4b5o
122bo5b5o124b9o$b2o3b5o131b3o135b4o127b9o123bo5b5o124bo2b6o$b9o271bo
130b7o124b2o3b5o124b2o3b5o$2b7o404b4o127b9o124b2o3b5o$2b6o406bo130b6o
127bo2b6o$3b4o539b3o129b9o$679b7o$681b2o7$641b2o$640b5o$639b8o$638b2o
2b6o$637b2o4b5o$636b2o6b5o$636b3o5b5o$636b4o4b4o$637b4o2b4o$638b8o$
638b7o$639b5o$640b3o156$278bo$276b6o$275b2ob6o$275bo4b4o$274b2o4b5o$
274b2o5b4o$274b3o3b5o$275b9o$275b8o$275b7o$276b5o12$258b2o$257b4o$256b
ob5o$255bo4b4o$254b2o4b5o$254b3o4b4o$254b3o3b5o$255b9o$255b8o$256b6o$
256b5o37$636bo$358b3o135b4o134b4o135b3o$356b6o132b7o131b7o132b6o$354b
9o129b10o129b9o129b9o$354b5o3b2o128b5o4b2o127b5o4b2o128b5o3b2o$354b5o
4bo128b5o5bo127b4o6bo128b5o4bo127b3o$354b5o4bo128b5o5bo127b4o6bo128b5o
4bo126b6o$354b5o3b2o128b5o4b2o127b5o4b2o128b5o3b2o125b7o$354b9o129b10o
129b9o129b9o125b9o$356b6o132b7o131b7o132b6o125b5ob4o$358b3o135b4o134b
4o135b3o126b4o4b2o$636bo265b4o4b3o$902b4o5bo$902b5o3b2o$903b8o$906b3o
10$884b3o$883b5o$882b7o$881b8o$880b5ob4o$880b4o4b3o$880b4o4b3o$880b4o
5bo$880b6o2bo$882b6o$884b3o12$566b3o$564b6o$564b7o$563b8o$563b9o$563bo
bo2b4o$563bo4b4o$563b2o3b4o$564b2o2b3o$565b4o127$560b2o$559b4o$558b2ob
5o$557bo4b5o$555b2o6b5o$554b4o5b5o$554b4o5b5o$554b5o3b5o$555b4o3b4o$
174b6o375b10o$174b6o376b8o$173b8o376b6o$173b8o377b4o$172b10o$172b3o4b
3o$172b3o4b3o$173b2o4b2o$174b2o2b2o$175b4o8$928bo$926b5o$925b7o$924b8o
$923b5ob4o$923b4o3b3o$923b3o5b3o$923b4o5bo$923b5o3bo$924b8o$926b4o39$
960bo$958b5o$957b2ob5o$956b2o3b5o$956bo5b4o$955b3o5b4o$956b3o3b4o$956b
4ob5o$957b8o$957b7o$958b5o2$374bo414bo$234b4o134b4o135b3o135b4o134b4o
134b2o$232b7o131b7o132b6o132b7o131b7o130b7o$230b10o129b9o129b9o129b10o
129b9o128b9o$230b5o4b2o127b5o4b2o128b5o3b2o128b5o4b2o127b5o4b2o126b6o
3bo$230b5o5bo127b4o6bo128b5o4bo128b5o5bo127b4o6bo126b5o4b2o$230b5o5bo
127b4o6bo128b5o4bo128b5o5bo127b4o6bo126b5o4b2o$230b5o4b2o127b5o4b2o
128b5o3b2o128b5o4b2o127b5o4b2o126b5o3b2o$230b10o129b9o129b9o129b10o
129b9o128b9o$232b7o131b7o132b6o132b7o131b7o130b7o$234b4o134b4o135b3o
135b4o134b4o133b4o$374bo414bo9$924b2o$922b6o$921b2o2b5o$921bo4b5o$920b
2o5b4o$920b3o4b4o$920b4o2b5o$921b9o$922b6o$922b6o$923b4o30$174b6o$174b
6o$173b8o$173b8o$172b10o$172b3o4b3o$172b3o4b3o$172b3o4b3o$173b2o4b2o$
174b2o2b2o$175b4o4$319bo$318b4o$316b8o$315b2o2b6o$315bo5b4o$314b2o6b4o
$314b3o5b4o$314b4o3b4o$315b4ob5o$315b8o$316b6o$317b4o75$132b6o$132b6o$
131b8o$131b9o$130b3o4b4o$130b3o4b4o$131b2o3b5o$131b2o2b5o$132b2ob3o$
133b4o13$153b4o$152b6o$152b7o$151b9o$150b4o3b4o$150b3o4b4o$150b2o5b4o$
151bo4b4o$152b8o$153b5o$154b2o!

[14142135623]

I don’t know if anyone knows this, but using LtL rules, you can simulate n^2 life universes in parallel by using the following adjustable rule:
Rn,C2,S2-3,B3,NF
This can also allow inflated life patterns to work as they would in Life. An example:

Code: Select all

x = 8, y = 8, rule = R2,C2,S2-3,B3,NF
4o$o2bobo$3o2bo$2o5bo$3bo$2o3bo2$3bo!

This simulates a block (top-left), a boat (top-right), a blinker (bottom-left), and a loaf (bottom-right). If this belongs somewhere else, please notify me.

[pipsqueek]

what is the closest complementary range 2 LTL rule to Day & Night?

[Yoel]

what is the closest complementary range 2 LTL rule to Day & Night?

If you mean the original notation that only allows one continuous birth range and one continuous survival range - none. Only few R2 LtL rules behave like Day & Night; I've searched all of them and found none of the interesting. I did not even find one with natural spaceships. But if you mean HROT, which is the natural generalization of totalistic life-like rule with higher ranges and arbitrary survival/birth patterns, then, perhaps, very many rules are in various ways similar to Day & Night. Check out this one, for example:

Code: Select all

x = 74, y = 40, rule = R2,C0,S9-19,21-24,B4,16-24
15$15b2o8b2ob2o19b2ob2o$14b4o$14b4o$15b2o8b2ob2o19b2ob2o!

Besides this failed replicator that turns into a puffer, it has many interesting things.

Or this:

Code: Select all

x = 37, y = 40, rule = R2,C0,S10-19,21-24,B4,15-24
24$12bobo$15bo2$15bo$12bobo!

A couple of rules that act like Day & Night, but behave differently (explosive or "cloudy"), were mentioned here.

[Game of Life Fun]

Accidentaly 5,1c/5. Known?

Code: Select all

x = 21, y = 25, rule = R10,C0,M1,S123..212,B123..170,NM
3$7b5o$5b9o$4b11o$3b5o4b4o$2b5o6b4o$2b5o7b4o$b6o7b5o$7o6b6o$7o6b6o$7o
6b6o$7o6b6o$b7o3b8o$b17o$2b16o$3b14o$3b14o$4b12o$4b12o$5b10o$6b7o!

[Yoel]

The first appearance of a natural gun in Bosco's:

https://catagolue.hatsya.com/object/yl4 ... 4t45s34t58

Code: Select all

x = 16, y = 16, rule = R5,C0,M1,S34..58,B34..45,NM
bbbobobboooobbob$
bbobboboobbboobb$
bbbooboobboboobo$
bbbobooooboboobo$
bboobobooooobobb$
obbbboboboooobob$
obbbbobbbooobooo$
oobbooobbobbbbob$
obbooboobbbbboob$
oboooooooobobbob$
obbobbbboboboboo$
bbobbbbbbooboobo$
ooobbobooobbobob$
bbbbbobobbobbobo$
oooobbobboobbbbb$
oobbbbbobbbbobob!

Update:

Another one:

Code: Select all

x = 16, y = 16, rule = R5,C0,M1,S34..58,B34..45,NM
bbbbbbbbobbobobb$
bbobbbbbbooboboo$
bbbboobbooooobbo$
bboobbobbbbbobob$
bbboboooobbbbobb$
oboooboobobbooob$
oooooboobbbbbboo$
obboobobobbbobbo$
booooobbobobobbb$
boooooooboboobbb$
oboboboboboobooo$
obobbbobobobbooo$
ooboboobbboobbob$
oooobooboobbboob$
oobobbobbobbobbb$
ooboboboobboboob!

Update2:

Code: Select all

x = 16, y = 16, rule = R5,C0,M1,S34..58,B34..45,NM
bbobobbobbboboob$
bobboobooooooooo$
bbbbbboooobbbbbo$
bbobbboooobobbob$
obooobboobbobboo$
obooboobbobooobo$
bboooboobobbobbo$
oboobboobboboobo$
obbboboobbobobob$
oboobooboobbbbob$
booobooboooboooo$
oooboboobboobooo$
bbbobobooobbboob$
bobbbbboobbbbbob$
boobbooboboboooo$
obbooobobbbobbbo!

[Yoel]

A very interesting ship just appeared in apgsearch:

Code: Select all

x = 47, y = 34, rule = R5,C0,M1,S34..58,B34..45,NM
2$12b3o$11b6o$10b9o$9b2o3b5o$9bo4b5o11b4o$9bo4b5o10b7o$9b2o3b5o9b2ob6o
$10b9o8b2o3b5o$11b6o10b2o4b4o$12b3o12b2o3b5o$28b2ob6o$29b7o$30b4o5$16b
5o$16b6o$15b2ob6o$14b2o3b5o$14bo4b5o$14bo4b5o$14b2o3b5o$15b2ob6o$16b6o
$16b5o!

It is actually a 528c/660 ship, not a flotilla. Taken apart, these three ships become two 5c/6 and one 4c/5!

[confocaloid]

A very interesting ship just appeared in apgsearch:

Code: Select all

x = 47, y = 34, rule = R5,C0,M1,S34..58,B34..45,NM
2$12b3o$11b6o$10b9o$9b2o3b5o$9bo4b5o11b4o$9bo4b5o10b7o$9b2o3b5o9b2ob6o
$10b9o8b2o3b5o$11b6o10b2o4b4o$12b3o12b2o3b5o$28b2ob6o$29b7o$30b4o5$16b
5o$16b6o$15b2ob6o$14b2o3b5o$14bo4b5o$14bo4b5o$14b2o3b5o$15b2ob6o$16b6o
$16b5o!

It is actually a 528c/660 ship, not a flotilla. Taken apart, these three ships become two 5c/6 and one 4c/5!

It has minimum population 174 cells. The following 172-cell version appeared in D2_+2 on 2023-04-10, and in C1 at some point (the C1 attribute page is empty):

Code: Select all

#C Soup k_2VVAC2UKgSkb7834 was found on 2023-04-10 at 17:53:10 UTC and is owned by Yoel Matveyev
#C https://catagolue.hatsya.com/hashsoup/D2_+2/k_2VVAC2UKgSkb7834/r5b34t45s34t58
#C https://catagolue.hatsya.com/attribute/xq660_osu3113usoz17vvvvvv71y4osm66msozye3fvvvvf3zy1gocccogzy0fvusosuvfzy11333331/r5b34t45s34t58/D2_+2
x = 16, y = 32, rule = R5,C0,M1,S34..58,B34..45,NM
booooobooboobooo$
obbbbobbboooobbb$
obooooobbboobobb$
bbooooobobbooobb$
boobbooobobbbobo$
obobbboooobobooo$
obbbobbobbbboobo$
bobbbbbobobooobo$
bobobbobbbbbboob$
bbobobobobobbbob$
oobbobboooobooob$
bbbbboooobbboboo$
boooooobbbboboob$
boobboboboobbobo$
ooobbbobobbobbbo$
bobbobbbbbooooob$
bobbobbbbbooooob$
ooobbbobobbobbbo$
boobboboboobbobo$
boooooobbbboboob$
bbbbboooobbboboo$
oobbobboooobooob$
bbobobobobobbbob$
bobobbobbbbbboob$
bobbbbbobobooobo$
obbbobbobbbboobo$
obobbboooobobooo$
boobbooobobbbobo$
bbooooobobbooobb$
obooooobbboobobb$
obbbbobbboooobbb$
booooobooboobooo!

Code: Select all

#C https://catagolue.hatsya.com/object/xq660_osu3113usoz17vvvvvv71y4osm66msozye3fvvvvf3zy1gocccogzy0fvusosuvfzy11333331/r5b34t45s34t58
x = 26, y = 27, rule = R5,C0,M1,S34..58,B34..45,NM
3b4o$2b2o2b2o$b2o4b2o$3o4b3o$3o4b3o$10o$b8o11b4o$b8o10b6o$2b6o10b2o4b2o$2b6o
10b3o2b3o$18b8o$18b8o$19b6o$19b6o$20b4o3$7b3o$6b5o$5b2o3b2o$4b2o5b2o$4b3o3b3o
$4b4ob4o$4b9o$5b7o$5b7o$6b5o!

[breaker's glider gun]

Feed a bug soup to turn it:

Code: Select all

x = 138, y = 124, rule = R100,C0,M1,S5612..9776,B5612..7585,NN
34b16o38b16o$31b30o16b30o$28b82o$26b86o$25b88o$23b92o$22b94o$20b98o$
19b100o$18b102o$17b104o$16b106o$15b108o$14b110o$13b112o$12b114o$11b
116o$11b116o$10b118o$9b120o$8b122o$8b122o$7b124o$7b124o$6b93o2bo2bo2b
7obob15o$5b93obo5b9ob3ob14o$5b93obo3bo2b4o2bo2b2o2b14o$4b93obobo2b2o7b
2o2bob16o$4b93o3bo3b6o3b2obo2b15o$3b94o2b3o4b2ob2ob4ob18o$3b94o4b4o2bo
5b3o2bob15o$3b95ob2obo10b2obob17o$2b95o2bob2o2bo2bobob3obo3b16o$2b96o
2b4ob2o2bo4bo3bob16o$2b97obo3b3obobo4b21o$b99obo2b2o3bo2bo4b2ob17o$b
97o2bob2ob3o4b2o2bobob17o$b97o2b4o2b5o4bob20o$b96obob2o2b2obobob2o2b2o
b19o$98obob4o2b4o2b2ob22o$98o2b8o2b4o3b2ob18o$97ob4o2bo2bo2bobobo2bo2b
18o$66o6b26o2b2o2bob2o2bo4b2o2b19o$61o16b21obo3bo2b4o8bob18o$58o22b17o
2bo3b3obo2bobo4bob19o$55o28b14ob4ob6ob4obo2bob18o$53o32b13obo2bo3b2ob
2obo6b19o$52o34b11ob2ob4o3bo2bo2bobo2b19o$50o38b10obo2b3obob2o3b2ob22o
$49o40b8ob3ob5ob2o3b2ob2o2b18o$49o40b8ob3obobo3bo2bobob3o2b18o$b48o40b
8ob3o2b4obobo2b2obob19o$b47o42b7o3b4o2b2o6b2o4b17o$b47o42b9ob4o5bob2o
2b2ob19o$b46o44b9ob2ob3ob2obo2b3ob19o$b46o44b6ob3o4bobob2o2b4o2b18o$2b
45o44b6ob3ob4o2bobob3o2b19o$2b45o44b6o6bo6b3o2b2ob18o$2b45o44b6obo2b2o
2b2o2bob2o4b2ob16o$3b43o46b6o2b2o3bo3bo2bo2b2o2b16o$3b43o46b5o4bobo5bo
b2o2b2ob17o$3b43o46b6o4bobo5b2ob2o3bob15o$4b42o46b5obo2bob3o4bo3b4o2b
14o$4b42o46b7obob2ob3o2bo4b19o$5b41o46b5o2bo3bobo7bo4b15o$5b41o46b12o
4b3o2b4o2b14o$5b41o46b5ob3o5b4o3b3o4b13o$6b40o46b5o2b2o4bo2bobobob3obo
b12o$6b40o46b5ob7o2b2o4b3obob13o$6b40o46b5o5b2o2bo2bo6bo3b12o$7b39o46b
8o2b3o4bob2o2b2o2b12o$7b39o46b6ob2o2b4o2b4ob2o2b13o$7b39o46b5ob2obobob
2o3bob6ob12o$8b38o46b7obo2b2ob4ob2ob4ob11o$8b38o46b6obob8ob5obobob10o$
9b37o46b5ob3o5b2obob2ob2o4b9o$9b37o46b6ob3ob4o3bo2b16o$9b37o46b5obo2b
2o2b3obo2bo2bob12o$10b36o46b5o4bo2bo4bo3b2ob2ob9o$10b36o46b6o4b3obo2b
3o2bo3bob8o$10b36o46b5ob2o2b2o7b2ob4o2b8o$11b35o46b6ob2ob3o2bob2ob4obo
b8o$11b35o46b35o$11b35o46b35o$12b34o46b34o$12b34o46b34o$12b34o46b34o$
12b34o46b34o$13b33o46b33o$13b33o46b33o$13b33o46b33o$13b33o46b33o$14b
32o46b32o$14b32o46b32o$14b32o46b32o$14b32o46b32o$15b31o46b31o$15b31o
46b31o$15b31o46b31o$16b30o46b30o$16b30o46b30o$16b30o46b30o$17b29o46b
29o$17b29o46b29o$17b29o46b29o$18b29o44b29o$18b33o36b33o$19b37o26b37o$
19b100o$20b98o$21b96o$21b96o$22b94o$23b92o$24b90o$26b86o$28b82o$30b78o
$33b72o$37b64o$41b56o$46b46o$52b34o$58b22o!

It doesn't like your soup :(

[hotcrystal0]

hint: they are going to nowhere. Thwy all stabaloze as period two oscillators.

it falls prone, but spends the turn to get up!

This one becomes a P4, but only A FEW cells oscillate at P4 for some reason.

Code: Select all

x = 53, y = 53, rule = R25,C2,M1,S850..1324,B765..1700,NM
19bo11bo$16b2o14b3o$14b18ob5o$12b28o$10b31o$8b35o$7b37o$6b39o$5b42o$5b
43o$4b44o$4b45o$3b47o$3b18o9b20o$2b17o12b20o$2b16o15b18o$b16o3b2o12b18o
$b15o3b4o12b17o$2b13o5bo2b2ob3o2b2o3b14obo$ob12o3bobob2obo6b3o3b13o2b
o$2b12o2b4obob2ob3o2b4o3b13obo$2b11o3b2ob6o2b2o3b3o3b13o$2b11o4bob2ob
4obo11b12o$2b11o5b2ob2ob2o2bo2bo7b12o$2b11o5bob5o2b2o10b12o$2b11o9b2o
b2o12b12o$2b11o5b3o4bobobo9b12o$2b11o5b7obobo10b12o$2b11o5bob2ob2o2b2o
9b13o$2b11o13bo11b13o$2b12o24b13o$ob13o3b3o2bo13b14obo$bob12o3b4o14b16o
$b15o3b3o13b17o$b16o3b2o12b18o$2b16o15b18o$2b17o13b19o$2b18o11b20o$3b
19o6b22o$3b47o$4b45o$5b43o$5b42o$6b40o$7b38o$8b36o$8b35o$9b33o$11b30o
$12b28o$14b4o2b18o$16b3o13b3o$19b2o10bo!

This one does a little “dance”, then settles into a P16:

Code: Select all

 x = 58, y = 58, rule = R25,C2,M1,S850..1324,B765..1700,NM
26b7o$24b11o$23b14o$21bob12ob2o$22b13o$21bob14o$21b17o$20b19o$20b19o$
19b21o$19b22o$18b23o$17b25o$17b26o$16b28o$15b30o$14b32o$12b16o2bob15o
$11b17o5b16o$9b16ob5o2b17o$7b16o3bob2o4b17o2bo$3bob17o5b4o2b19o$4bob15o
7b3ob21obo$2b19o8bo2b21ob2o$b20o10b23obo$b18obo9b24ob2o$21o10b27o$22o
10b26o$17o2b4o10b8ob16o$17o2b5o9b8o2b15o$18obob2o2bo9b6ob16o$17o7b3o8b
23o$18o4b6o7b23o$b19ob9o5b22o$b29o5b19ob2o$2bo2b48o$2b2ob48obo$3bo2b46o
$7b44o$9b41o$10b39o$12b16o3b17o$13b16ob17o$14b32o$15b30o$16b28o$17b26o
$18b24o$18b23o$19b21o$20b19o$21b17o$22b15o$20bo3b11o$22b2o2b8o2bo$23b
12o$25b10o$26b7o!

[muzik]

Let's start looking at LtL rules with the L² neighbourhood now, shall we?

Here's one that produces transient Bugs-like sparks:

Spaceships are rare:

Code: Select all

x = 19, y = 20, rule = R6,C2,S37-58,B32-45,N2
2$7b4o$7b6o$5b9o$6b8o$4b11o$5b2o3b5o$5bo5b4o$5bo4b5o$4b2o4b5o$5b2o2b3o
$6b5obo!

[TYCF]

Let's start looking at LtL rules with the L² neighbourhood now, shall we?

Here's one that produces transient Bugs-like sparks:

Spaceships are rare:

Code: Select all

x = 19, y = 20, rule = R6,C2,S37-58,B32-45,N2
2$7b4o$7b6o$5b9o$6b8o$4b11o$5b2o3b5o$5bo5b4o$5bo4b5o$4b2o4b5o$5b2o2b3o
$6b5obo!

What about this one?

Code: Select all

x = 12, y = 11, rule = R6,C2,S37-58,B32-45,N2
2b5o$3b6o$10o$2b9o$5ob5o$b2o4b5o$bo5b5o$bo5b5o$bo4b4o$b3ob6o$3b4o!