Small Spaceship Syntheses

[Extrementhusiast]

I'm creating this thread to stop the abundance of threads each devoted to synthesizing one spaceship. (Those threads can stay there; I just don't want any more of them.)

Anyway, some spaceships that look like they might be relatively easily synthesizable:

Code: Select all

x = 352, y = 26, rule = B3/S23
337b3o$339bo$334b2o2bo$334b2o$338b2o$337b2o$336bo2bo2$334bo2bo$291bo
12bo28bo3bo$8b3o190bo11bo76bobo10bobo26bob3o$7bo2bo19bob2o25bo25b3o3b
3o25bo12bo68bo11bo75b2ob2o8b2ob2o24bo$7bo2bo15b3ob2obob2o18b3ob3o23bo
2bobo2bo25bo12bo27bo5bo33bobo9bobo74b2o14b2o24bo13bobo2b2o$7bo3bo13bo
6b2o2b4o14bo6b2o21bo3bobo3bo23bobo10bobo25b3o3b3o80bo7bo34bo12bo27bo
13b2obobo$6bo4bo14b2o3bo3bo4bo14b2o3bo2bo3bo18bobobobo26bo12bo25bo2bo
3bo2bo30bo3bo7bo3bo26b2obobob2o3b2obobob2o28b4o6b4o22b2o13b2o2bo4bo$2b
o3bo31b2o25b4o17bo5bo26bo12bo24b3o7b3o29bob6ob6obo23b3obob3o9b3obob3o
25bo2b2o4b2o2bo21bo2b2o2b2o6bo3bo$b3o6b2o53bo3bo16b2o3b2o27bo3b4o3bo
26bobo5bobo29bo7bobo7bo22bo3bobo5bobo5bobo3bo26b2o2bo2bo2b2o27bo2bo6bo
6b2o$2obo3b2o54bo2bobo18b2ob2o32b4o32b2o3b2o31bo7bobo7bo26b2o6bobo6b2o
31b2ob4ob2o32b2o4bobo4b2o$3o61bo22b2ob2o28b4o4b4o24bo4bo3bo4bo27bo17bo
23b2o9bobo9b2o29bobo2bobo26bo3bo3bo5bo$3o83bo5bo68bo3bo33bob2ob2o3b2ob
2obo24b2ob2o15b2ob2o30bo4bo31b2o4bo2bo$b2o119bo6bo26b2o3bo3bo3b2o73bo
15bo66bobo5bo3b2o$123b2o2b2o29bo2bo3bo2bo125bo6bo24b2o8bo$160bo5bo125b
2ob2o2b2ob2o27bo4bo$293bo8bo30bo3bo$293b2o6b2o27b2o5bo$330bo5bo!

I feel the second through fourth on the right are the most promising candidates out of these.

[Kazyan]

Does x66's front sort of look like a tumbler to anyone else? Maybe that could be a useable base.

[calcyman]

It's also possible to support half of an x66 on a HWSS; that looks quite amenable to synthesis.

[Kazyan]

What about using this oscillator?

Code: Select all

x = 11, y = 15, rule = LifeHistory
A9.A$A3.A.A3.A$A3.A.A3.A$.A2.A.A2.A$.3A3.3A2$.3C3.3C$.C2.C.C2.C$C3.C.
C3.C$A.D.C.C.D.A$A.D5.D.A$2.2D3.2D$3.2D.2D$3.2D.2D$2.D5.D!

[Extrementhusiast]

In other news, an extremely messy synthesis of 25P3H1V0.2:

Code: Select all

x = 59, y = 45, rule = B3/S23
15bobo$18bo$18bo$7bobo5bo2bo$8b2o6b3o$8bo$54bo$bo17bobo30b2o$2bo4bo10b
o7bobo24b2o$3o2bobo10bo7b2o$6b2o10bo2bo5bo$18b3o20bo$39b2o$40b2o$11b2o
$11b2o2$11b4o19b4o$11bo2bo19bo3bo$12b2o20bo$35bo2bo$42b2o$14bo26b2ob2o
$4bo7b3o10b2o15b4o$5bo5bo8bo3bo2bo15b2o$3b3o5b2o6bobobo2bobo$18bo2bobo
b2obo$19b2o3bo2bo4b2o$25b2o4bo2bob2o$31bo2bob2o$6b2o24b2o$5bobo31b2o$
7bo3b2o26bobo$12b2o26bo$11bo34b2o$46bobo$31b3o12bo$31bo10b2o$32bo9bobo
$22bo19bo$21b3o$21bob2o$22b3o31b2o$22b2o32bobo$56bo!

This wasn't easy, even for me.

[Sokwe]

an extremely messy synthesis of 25P3H1V0.2

Huh.

[HartmutHolzwart]

is thre some secret in finding the right still lifes to start with?

Ingenious!

What a progress!

Isn't that the famous space ship where David Buckingham suspected thre could be a way to synthesize it? So to speak the "Fermat's last spaceship synthesis"? Only the border of lifeline was too small to hold the synthesis

[Extrementhusiast]

is thre some secret in finding the right still lifes to start with?

Keep stepping the pattern back until it looks like something constructable.

[codeholic]

Congratulations!

Keep stepping the pattern back until it looks like something constructable.

Sounds like a plan

[simsim314]

Nice! congrats on that one as well

[Scorbie]

Wow. That looks like magic.

[Kazyan]

Awesome! Another one!

I'm infuriatingly close to reducing Pushalong 1 to a 25-cell still life, but I think the last step is impossible unless someone can rework my mess. To prevent wheel reinventing, here's what I have so far:

Code: Select all

x = 28, y = 25, rule = LifeHistory
.A$2.A5.5D$3A5.D3.D$11.D$11.D$10.D3.A.A$2.A7.D4.2A3.A$3.A6.D4.A2.2A$.
3A15.2A$7.2A$7.A4.2A$2.2A5.A.A2.A7.A$.A2.A3.2A.2A.A2.2A3.A.A$2.2A4.A
2.A2.A.A.A3.2A$9.A.A2.A2.A$10.A4.2A$25.2A$11.D8.A4.A.A$11.2D6.2A4.A$
6.A4.2D6.A.A$5.3A$4.2ABA$4.3A$4.3A$5.2A!

EDIT: Right side didn't quite work. Zero-optimization fix.

EDIT 2: I made a mess.

Code: Select all

x = 29, y = 32, rule = B3/S23
8bo6bo$9b2o3bo$8b2o4b3o2$13bo$14bo$8bo3b3o$9bo$7b3o$15b2o$bo13bobo$2bo
2bo11bo$3obobob2o7b2o$5b2obo4b2o6bo$10bobo2bo5bobo$9b2ob2obo5b2o4bo$9b
o2bo2b2o9bo$10bobo2bo2bo7b3o$6bo4bo5b2o$4bobo15b3o$5b2o5bo9bo$12b3o2b
2o4bo$15bo2bo$6b2o6bo3bobo$7bo6b2o3b2o$4bobo$3bo10b2o5b2o$3b2o9b2o5bob
o$10b2o9bo$b2o8b2o$obo7bo$2bo!

[Extrementhusiast]

Simple reduction of 25P3H1V0.2 by several gliders:

Code: Select all

x = 55, y = 44, rule = B3/S23
15bobo$18bo$18bo$7bobo5bo2bo$8b2o6b3o$8bo$54bo$bo17bobo30b2o$2bo4bo10b
o7bobo24b2o$3o2bobo10bo7b2o$6b2o10bo2bo5bo7bo$18b3o14bobo3bo$35b2o2b2o
$23bo16b2o$11b2o11b2o$11b2o10b2o2$11b4o15b2o$11bo2bo15b2o$12b2o2$42b2o
$14bo26b2ob2o$4bo7b3o10b2o9bo5b4o$5bo5bo8bo3bo2bo7bo7b2o$3b3o5b2o6bobo
bo2bobo6b3o$18bo2bobob2obo$19b2o3bo2bo$25b2o11bobo$38b2o$6b2o31bo$5bob
o$7bo3b2o$12b2o$11bo$36b3o$31b3o2bo$31bo5bo$32bo$22bo$21b3o$21bob2o$
22b3o$22b2o!

EDIT: Another small reduction:

Code: Select all

x = 55, y = 44, rule = B3/S23
15bobo$18bo$18bo$7bobo5bo2bo$8b2o6b3o$8bo$54bo$bo17bobo30b2o$2bo4bo10b
o7bobo24b2o$3o2bobo10bo7b2o$6b2o10bo2bo5bo7bo$18b3o14bobo3bo$35b2o2b2o
$23bo16b2o$11b2o11b2o$11b2o10b2o2$11b4o15b2o$11bo2bo15b2o$12b2o$4bo$5b
2o35b2o$4b2o7b2o26b2ob2o$13b2o10b2o9bo5b4o$20bo3bo2bo7bo7b2o$19bobobo
2bobo6b3o$18bo2bobob2obo$19b2o3bo2bo$25b2o11bobo$38b2o$39bo2$6bo4b2o$
6b2o4b2o$5bobo3bo$36b3o$31b3o2bo$31bo5bo$32bo$22bo$21b3o$21bob2o$22b3o
$22b2o!

EDIT 2: Some reductions to the pushalong synthesis:

Code: Select all

x = 45, y = 39, rule = B3/S23
9bo15bo$10b2o14bo$9b2o13b3o2$2bo$obo25bo3bo$b2o23bobob2o5bo$27b2o2b2o
3bo6bo$36b3o3bo$42b3o2$6bo$7bo5bo$5b3o4bobob2o$13b2obo4b2o$18bobo2bo$
17b2ob2obo$17bo2bo2b2o$18bobo2bo2bo$19bo5b2o2$20bo$20b3o2b2o$23bo2bo$
22bo3bobo$14b3o5b2o3b2o$39b2o$22b2o15bobo$22b2o15bo7$5b3o28b3o$7bo3bo
24bo$6bo4b2o24bo$10bobo!

[codeholic]

Keep stepping the pattern back until it looks like something constructable.

Sounds like a plan

Speaking seriously, can you formalize your insights, or is it just pure intuition, that you can't realize? I'm asking because that would be a perfect search program for glider syntheses!

To share my own experience, I'd wondered for some time, how I could write search scripts, while I knew so little about search graph algorithms and so on, but then I just said to myself, okay, I'm not going to do something smart, I'll just automatize the work I'd be doing in Golly to achieve that goal. And you know, that really paid off! Brute force algorithms but based on human behavior can do sometimes more than you'd expect.

[Extrementhusiast]

Here were my notes for 25P3H1V0.2, with time generally going from left to right:

Code: Select all

x = 2186, y = 658, rule = B3/S23
1263bobo$1266bo$1262bo3bo$1266bo$1258bo4bo2bo$1259bo4b3o$1257b3o16$
1167bobo$1170bo$1170bo$1160bo3bo2bo2bo$1159bobobobo2b3o$1159bobo2bo$
1160bo6$971bobo$971b2o$972bo$959b2o$953bo$954b2ob2o$962b2o$876b3o3b2o
77bo2bo$874b6ob3o73b2obo2bobo5bobo$874b2o3bob2obo72b2obob2obo5b2o$878b
o3b3o76bo2bo7bo$883bo2b2o74b2o$950b2o22bo$884b2o63bobo22bobo$951bo22b
2o2$973bo$968bo3b2o$967b2o3bobo$967bobo$958b3o$958bo2bo$958bo$958bo$
959bobo43$500b2o$478b2o20bo$477bo2bo17bobo$477bobobo16b2o$471bobobo2b
2o2bo9bobobo$252b2o128bo34bo53bob3o5b2o9bob3o$246bo133b3o32b3o53bo2bo
17bo2bo93b2o$247b2ob2o71b2o28b2o25b2ob2o30b2ob2o168bo2bo$249bo67bo9bo
19bo28b5o2b3o25b5o2b3o114b3o50bobo$314b2o2b2ob2o8b2o11b2o2b2ob2o23b3ob
2o2b2o25b3ob2o2b2o113bo50bobobo$314b2o4bo4b2o2b4o11b2o4bo4b3o19b2ob2o
30b2ob2o117bo50bo2bo$314bo9b2o4b2o12bo9b2o2b2ob2o11bo3bobo11bo16bo3bob
o8b2obo107b3o13b2o$323bob4o24bob8o10b2o4bo5b2o3bo17b2o4bo5b2o3b2o104b
2o17bo2bo$282bo3b2o85bo9b2o2bob2o17bo9b2o2bo107bo2bo16bobobo$278b3ob4o
4bo31bobo3b3o21bobo3b3o13bo7bo2b2o2bo19bo7bo3bob2o105bobobo16b2o2bo$
232bob2o10bo3b2o3bo21bo5b3o2b3o2bo31b3o27b3o24bo34bo2b2obo103b2o2b2o2b
o18b2o$203bo28b2obo6b3ob4o5bo22b2o12bo130bo101b4o5b2o$117bo85b2o29b2o
5bo5b3o2b2o35b3o89b3ob2o37b3o98b2obo$115b5o52bob2o19bob2o2bob2o28bo8b
2o10bobob2o27b4o94bo33b3o106bo2bo$116b3o3bo45b3ob2obob2o12b3ob2obobo2b
o49b3ob3o30bo94bo35bo108bobo$46bo11bo57bobo3bo44bo6b2o2b4o8bo6b2obo2bo
2bo44b3o3b2o127bo33bo110bo$44b5o6b5o32bo22b2ob3ob2o44b2o3bo3bo4bo8b2o
3bo6bo2bo46bo3b2o$46b3o6b3ob2o24b2ob3ob3o26bo2b2o2bo51b2o19b4o$16bob2o
28bobob2ob2o2bo25b2o4bo2b2ob2o15bo2b3obo2bo2b2o74bo$12b3ob2obob2o23b3o
b2obob2ob2obo22bo2bob2o3bo2b2o13b3o2b2o6b2o76bo$11bo6b2o2b4o19bo12b2ob
o34bo2bo13b6o5b2o2b2o$12b2o3bo3bo4bo19bo6b3o57b5o6b2o$24b2o21b2ob6o2b
2o64bo$46b6ob2o4bo$46b3o10b2o$58b3o2$655bo20bo4bo2bo$653b3o19bo4bo$
653b2ob2o18bo3bo3bo$488b2o159b5o2b3o14b2o2bo2b4o$487bo2bo158b3ob2o2b2o
15bo2bo270bo$483b2obo2bobo158b2ob2o20bobo7bobo261b2o$480bo2b2obob2obo
159bobo21b3o8b2obo258b2o$480b2o5bo3b2o159bo29b2o3bo$488b3o190bo2bo270b
2o$490bo188b2o2bobo262b2o4b3o$485bo193b2ob2obo262b2o4b2obo$b2o5b2o474b
3o194bo2bo260bo9b3o$b2o5b3o472b2obo42b2o4b6o138b5o262bo9bo$2bobo4b2o
472b3o37bo11b5o139b5o260b3o$2b2o2bo2bo474b2o38b2o2bo40b2o107bobo2b2o
236b4o3bo20bo$b2o3bobobo521b2o34bo2bo111b2o235bo3bo3b2o19b2o$o4bobo2b
2o515bo3bo2bo28b2o2bo2bobo112bo238bo2bobo18bobo$b2o4bo2b2o516bobo2bobo
22b3obobo2bob2obo110b2o235bo2bo17b3o$2bo525bobob2obo24bo2bo4bo2bo111b
2o258bo54bo$2b2o527bo2bo24bo9b2o371bo54bobo$b3o528b2o39b2o421bo3bo$
528b2o34b2o7bo422bo3bo$528b3o34b2o3b2obo422bo3bo$528b2o2b3o29bo5bobo
424bobo$532bo2bo35bo426bo$533b2o$571b2o$571bobo$571bo3$777bobo$777b2o$
764bo13bo$765bo$763b3o3$771b2o6bobo$771b2o6b2o$726bobo51bo$726b2o324bo
2bo$727bo328bo4bo$714b2o336bo3bo4b2o$654bobo51bo61b2o281b4o3bobo$654b
2o31bo21b2ob2o55bo2bo$649b2o4bo30bo30b2o46b2obo2bobo5bobo$648bo2bo34b
3o27bo2bo45b2obob2obo5b2o$645bobo2bobo28b2o29b2obo2bobo5bobo40bo2bo7bo
$647bob2obo27bo2bo28b2obob2obo5b2o42b2o$648bo2bo2bo19bobo2bo2bobo31bo
2bo7bo30b2o22bo$649b2o3bo19bobo2bob2obo32b2o38bobo22bobo371b2o12b2o20b
2o$645b3o26bobo3bo2bo3b2o16b2o22bo29bo22b2o371bo2bo10bo2bo15b2obo2bo$
647bo2bo30b2o3b4o14bobo22bobo418b2o3bobobo8b2obobo14b2obobobo$646bo3b
2o26bo9b2o16bo22b2o50bo368b4o2b2o2bo6b2ob2o2bo17b2o2bo$677b3o96bo3b2o
370b2o5b2o12b2o11b2o7b2o$677bob2ob3o43bo46b2o3bobo370bo32b3o$678b3obo
40bo3b2o46bobo375bo33b2o$678b2o3bo38b2o3bobo36b3o$722bobo41bo2bo$713b
3o50bo$713bo2bo49bo101b4o$713bo53bobo98bo2bo$713bo155b2o$714bobo22$
960b2o947b2obo$959b3o947bo2bo$959b2obo947b3o$960b3o$961bo3$976bobo942b
obo$945b4o27b2o943b2o$944bo3bo4bo23bo944bo234b2o22bo$948bo4b2o1202b2o
21bobo$944bo2bo4bobo175b2o1024b2o23b2o$1129b3o$967b2o160b2obo703b3o$
966bo2bo160b3o169bobo533bo320bo24bo$962b2obo2bobo5bobo152bo171b2o23bob
o506bo318bobobo20bobobo$962b2obob2obo5b2o325bo24b2o826bo2b2o20bo2b2o$
966bo2bo7bo351bo$967b2o177bobo168bobo$955b2o22bo135b4o27b2o170b2o$954b
obo22bobo132bo3bo4bo23bo170bo446bo$956bo22b2o137bo4b2o207bobo430bo2bo$
1114bo2bo4bobo201bo5b2o431b3o$978bo348b2o4bo$973bo3b2o158b2o182bo4b2o$
972b2o3bobo152bo3bo2bo182b2o$972bobo156bobobo2bobo5bobo172b2o$963b3o
164bo2bobob2obo5b2o630bo$963bo2bo164b2o3bo2bo7bo628b2o336bo$963bo173b
2o638b2o$963bo96b2o87bo162bo4bobo791b2obo$964bobo92bo2bo86bobo161b2o2b
2o473b2o317bob2o$1054b2o3bobo62b3o22b2o161b2o4bo472b4o$1053bo2bo3bo65b
o209bo453b2ob2o$1053b4o68bo22bo185b2o455b2o$1143bo3b2o186b2o$1142b2o3b
obo$1142bobo$1133b3o$1133bo2bo$1133bo$1133bo$1134bobo9$2026bobo$2026b
2o$2027bo21bo$2047bobo10bo$2023bobo22b2o10bobo$2024b2o34b2o$2024bo6bob
o98b2obobo$2031b2o100bobo$2032bo99bo$1883b2obo245b2o$1883bo2bo$1884b3o
5$1875bo19bobo$1873bobo19b2o$1874b2o20bo9$1206b2o64b2o$1205b3o63b3o83b
2o$1205b2obo62b2obo81b3o$1206b3o63b3o81b2obo$1207bo65bo83b3o$1358bo
278bo$1223bo63b2o348bobo$1222bo63b4o347b2o$1191b4o24bo2b3o32b4o24b2ob
2o$1190bo3bo4bo56bo3bo4bo20b2o86b2o260bo$1194bo4b2o59bo4b2o106b4o257bo
bo$1190bo2bo4bobo17bo37bo2bo4bobo26b4o43b4o28b2ob2o258b2o5bo$1217bo75b
o3bo41bo3bo29b2o267bobo9b2o$1213b2o3b2o59b2o12bo49bo5bo292b2o9b4o$
1208bo3bo2bo58bo3bo2bo12bo2bo41bo2bo6b2o29b4o268b2ob2o$1207bobobo2bobo
5bobo48bobobo2bobo5bobo57bobo29bo3bo268b2o392bobo$1206bo2bobob2obo5b2o
48bo2bobob2obo5b2o74b2o14bo666b2o$1207b2o3bo2bo7bo49b2o3bo2bo7bo69bo3b
o2bo7bobo4bo2bo663bo$1213b2o64b2o77bobobo2bobo6b2o$1225bo65bo65bo2bobo
b2obo7bo666bobo$1225bobo63bobo64b2o3bo2bo676b2o$1200b3o22b2o39b3o22b2o
71b2o11bo665bo8bobo$1202bo65bo108bobo672b2o$1201bo22bo42bo22bo86b2o
674bo$1219bo3b2o60bo3b2o773b4o$1218b2o3bobo58b2o3bobo58b3o711bo3bo$
1218bobo63bobo65bo711bo$1209b3o63b3o73bo24bo688bo2bo$1209bo2bo62bo2bo
92bo3b2o136b2o$1209bo65bo94b2o3bobo134b3o$1209bo65bo94bobo139b2obo$
1210bobo63bobo234b3o19bo$1360b3o151bo19bo$1360bo2bo170b3o$1360bo$1360b
o$1361bobo166b2o$1529b4o$1496b4o28b2ob2o$1495bo3bo29b2o$1499bo5bo$
1495bo2bo6b2o29b4o$1504bobo29bo3bo$1520b2o14bo$1515bo3bo2bo7bobo4bo2bo
$1514bobobo2bobo6b2o$1513bo2bobob2obo7bo$1514b2o3bo2bo$1520b2o11bo$
1533bobo$1533b2o2$1506b3o$1508bo$1507bo24bo$1527bo3b2o$1526b2o3bobo$
1526bobo2$1516b3o$1516bo2bo$1516bo$1516bo$1517bobo218bobo$1727bo13bo$
1728bo12bo$1726b3o9bo2bo$1739b3o4$1732b2o$1732b2o2$1732b4o$1732bo2bo$
1733b2o3$1735bo$1725bo7b3o$1723bobo6bo$1724b2o6b2o6$1726b3o$1728bo$
1630bo3bo92bo$1629bobobo$1630bo2b3o71$1671b2o$1658bo11b3o$1659b2o9b2ob
o$1658b2o11b3o$1672bo21bo$1693bo130b2o$1693b3o128b3o$1823bob2o$1664b2o
157b3o$1664b2o158bo$1690b2o$1664b4o21b4o136bobo$1664bo2bo20b2ob2o124bo
10bo7bobo$1665b2o22b2o124bobo10bo7b2o$1816b2o10bo2bo5bo$1696b4o128b3o
20bo$1667bo28bo3bo148b2o$1655bobo7b3o10b2o9bobo4bo153b2o$1656b2o6bo8bo
3bo2bo8b2o6bo2bo120b2o$1656bo7b2o6bobobo2bobo8bo130b2o$1671bo2bobob2ob
o$1672b2o3bo2bo11bo128b4o19b4o$1678b2o12bobo126bo2bo19bo3bo$1692b2o
128b2o20bo$1845bo2bo$1658b2o192b2o$1659b2o163bo26b2ob2o91bobo$1658bo4b
3o148bo7b3o10b2o9bo5b4o90bo7bobo$1665bo149bo5bo8bo3bo2bo7bo7b2o91bo7b
2o$1664bo26bo121b3o5b2o6bobobo2bobo6b3o98bo2bo5bo$1686bo3b2o136bo2bobo
b2obo107b3o$1685b2o3bobo136b2o3bo2bo$1685bobo147b2o11bobo$1848b2o$
1816b2o31bo$1674b3o138bobo$1674bo2bo139bo3b2o$1674bo147b2o$1674bo146bo
$1675bobo168b3o$1841b3o2bo$1841bo5bo$1842bo$1832bo$1831b3o$1831bob2o$
1832b3o$1832b2o51$2022bobo$2025bo$2025bo$2014bobo5bo2bo$2015b2o6b3o$
2015bo2$2008bo17bobo$2009bo4bo10bo7bobo$1892bobo112b3o2bobo10bo7b2o$
1880bo10bo7bobo111b2o10bo2bo5bo$1878bobo10bo7b2o124b3o20bo$1879b2o10bo
2bo5bo145b2o$1891b3o20bo132b2o$1912b2o104b2o$1913b2o103b2o$1884b2o$
1884b2o132b4o19b4o$2018bo2bo19bo3bo$1884b4o19b4o108b2o20bo$1884bo2bo
19bo3bo130bo2bo$1885b2o20bo141b2o41b2o2bo$1908bo2bo109bo26b2ob2o38bo2b
o$1915b2o94bo7b3o10b2o9bo5b4o38bo2bo$1887bo26b2ob2o93bo5bo8bo3bo2bo7bo
7b2o40b2o$1877bo7b3o10b2o9bo5b4o91b3o5b2o6bobobo2bobo6b3o$1878bo5bo8bo
3bo2bo7bo7b2o107bo2bobob2obo$1876b3o5b2o6bobobo2bobo6b3o115b2o3bo2bo$
1891bo2bobob2obo130b2o11bobo$1892b2o3bo2bo144b2o$1898b2o11bobo99b2o31b
o$1911b2o99bobo$1879b2o31bo101bo3b2o$1878bobo138b2o$1880bo3b2o132bo$
1885b2o156b3o$1884bo153b3o2bo$1909b3o126bo5bo$1904b3o2bo129bo$1904bo5b
o118bo$1905bo122b3o$1895bo132bob2o$1894b3o132b3o$1894bob2o131b2o$1895b
3o$1895b2o10$2124bobo$2127bo$2127bo$2116bobo5bo2bo$2117b2o6b3o$2117bo$
2163bo$2110bo17bobo30b2o$2111bo4bo10bo7bobo24b2o$2109b3o2bobo10bo7b2o$
2115b2o10bo2bo5bo$2127b3o20bo$2148b2o$2149b2o$2120b2o$2120b2o2$2120b4o
19b4o$2120bo2bo19bo3bo$2121b2o20bo$2144bo2bo$2151b2o$2123bo26b2ob2o$
2113bo7b3o10b2o15b4o$2114bo5bo8bo3bo2bo15b2o$2112b3o5b2o6bobobo2bobo$
2127bo2bobob2obo$2128b2o3bo2bo4b2o$2134b2o4bo2bob2o$2140bo2bob2o$2115b
2o24b2o$2114bobo31b2o$2116bo3b2o26bobo$2121b2o26bo$2120bo34b2o$2155bob
o$2140b3o12bo$2140bo10b2o$2141bo9bobo$2131bo19bo$2130b3o$2130bob2o$
2131b3o31b2o$2131b2o32bobo$2165bo!

My thought process went something like this:

1. Could see portions of snake and clock in there, so tried those. Results too complex.
2. Attempted alternate predecessor for right portion. Results too complex.
3. Examined central portion more closely; found it was actually a pre-interchange.
4. Checked to see if Niemiec's ZIP file contained that predecessor. It did, from a glider+HWSS.
5. Altered central portion and right portion to make it a different predecessor of the next generation.
6. Altered right portion of predecessor.
7. Stepped back predecessor by one generation, and found that a P pentomino would work for the left side.
8. Altered that predecessor.
9. Stepped back predecessor by another generation; found that the right portion could possibly be made from a long integral with a bookend-to-bun component, and that the center could possibly be made from a southbound LWSS.
10. Altered predecessor; found it could be made from a twelve-bit SL.
11. Found fairly simple mechanism to transform left half of twelve-bit SL correctly, but was unsure of how to synthesize it.
12. Realized that extending the SL southwest would provide a simpler activation mechanism (namely, a single bit).
13. Tried using a block+preblock to get that spark, which didn't work; also realized that the southeast corner of the now 18-bit SL could be simplified.
14. Tried using a boat to get that spark, which also didn't work.
15. Looked at the central portion again, and found that a westbound LWSS colliding with a mutated southbound LWSS could get that domino spark there for that portion.
16. Found that a domino from the southeast would work in the eastern part of the right section.
17. Found that a glider+northbound LWSS would work for the southern part of that section.
18. Assembled interim synthesis for right portion, using the block again.
19. Looked back at central portion; found that a blinker+bit mutated the southbound LWSS correctly.
20. Found two ways to place that blinker+bit against the southbound LWSS, but neither way allowed for the left section to be placed.
21. Tried to use the 12-bit SL as a base again, which didn't work.
22. Realized that a loaf+glider placed the spark for the 15-bit SL very cleanly.
23. Assembled interim synthesis, but found that one glider was one generation too fast to place the westbound LWSS via block where I planned.
24. Replaced problem glider with another westbound LWSS; found that garbage soon after wrecked the right section.
25. Found glider using Seeds of Destruction that moved the garbage harmlessly away.
26. Tried replacing the southbound LWSS with a three-glider collision that produced a beehive, which didn't work.
27. Found a way to synthesize the mutation of the southbound LWSS.
28. Assembled interim synthesis; found that extra cells in the southbound LWSS and the westbound LWSS interfered.
29. Found that a southwestbound glider got rid of some of the problem cells, but not all of them.
30. Found a second southbound LWSS using Seeds of Destruction that got rid of the rest of the problem cells, but left some garbage in the path.
31. Found the right-hand southeastbound cleanup glider using Seeds of Destruction; left-hand such glider was placed on a known lane to get rid of the beehive.
32. Realized that three-glider domino spark interfered with the upper westbound LWSS. Knew that it was the same as a pond+bit.
33. Knew that a blinker+block produced a working spark, but that a subspark killed the reaction.
34. Replaced blinker with glider+boat for convenience.
35. Found a cleanup glider using Seeds of Destruction that moved the garbage harmlessly away; also found a second cleanup glider this way to get rid of that garbage.
36. Assembled final synthesis.

EDIT: Another improvement to the pushalong synthesis:

Code: Select all

x = 37, y = 30, rule = B3/S23
9bo$10b2o4bo$9b2o6b2o$16b2o7bobo$2bo22b2o$obo23bo7bo$b2o31bobo$8bo25b
2o$7bobob2o$8b2obo4b2o$13bobo2bo$6bo5b2ob2obo$7bo4bo2bo2b2o$5b3o5bobo
2bo2bo$14bo5b2o4bo$26bobo$26b2o$15b2ob2o$16bobo4b3o$16bobo4bo$9b3o5bo
6bo3$24b2o$23b2o$5b3o2b2o13bo$7bo3b2o$6bo3bo5b2o$17b2o$16bo!

EDIT 2: Variation from a different base SL:

Code: Select all

x = 41, y = 40, rule = B3/S23
9bo15bo$10b2o14bo$9b2o13b3o2$2bo$obo25bo3bo$b2o23bobob2o5bobo$27b2o2b
2o4b2o$38bo3$6bo$7bo5bo$5b3o4bobob2o$13b2obo4b2o$18bobo2bo$17b2ob2obo$
17bo2bo2bob2o$18bobo2bo2bo$19bo4b2o3$20b2ob2o$21bobo$21bobo$14b3o5bo3$
37bo$36b2o$36bobo3$34b2o$33b2o$5b3o2b2o23bo$7bo3b2o25b3o$6bo3bo5b2o20b
o$17b2o20bo$16bo!

This method could end up being cheaper, depending on the relative costs of the two SLs.

[codeholic]

Thank you for your thorough description! What I can conclude from it is that having large database of synthesisable things is quite important, but also is that the process you described might be quite challenging to formalise (as I expected, though). But maybe a tool like the Seeds of Destruction game, that would facilitate manual search (e. g. that can suggest predecessors or look up if something can be synthesised by colliding some certain objects), would be helpful.

[simsim314]

Checked to see if Niemiec's ZIP file contained that predecessor. It did, from a glider+HWSS.

Do you have a link to this file?

[Extrementhusiast]

Checked to see if Niemiec's ZIP file contained that predecessor. It did, from a glider+HWSS.

Do you have a link to this file?

The collision in question is on the LifeWiki under syntheses for the interchange.

[Kazyan]

Very close to x66--just missing a way to put those side bits on and clean up the upper left.

Code: Select all

x = 17, y = 28, rule = LifeHistory
7.2A$6.3A$6.2A.A$2.A4.3A4.A$3.A4.A4.A$.3A9.3A4$4.A.2A.2A.A$4.2A.A.A.
2A2$4.3A3.3A$4.A2.A.A2.A$3.D2.2A.2A2.D3$5.2A3.2A$2A4.A3.A4.2A$.2A3.A.
A.A3.2A$A6.3A6.A2$3D2.7A$D.D2.A2.A2.A$3D$2.D2.2A3.2A$3D.A.A3.A.A$6.A
3.A!

EDIT: 68 bits of fun. Is this possible, or shall I go back to the drawing board?

Code: Select all

x = 39, y = 27, rule = B3/S23
4bobo25bobo$5b2o25b2o$5bo9bo7bo9bo$8bobo5b2o3b2o5bobo$9b2o4b2o5b2o4b2o
$5bo3bo19bo3bo$6bo25bo$4b3o7bo9bo7b3o$13bobob2ob2obobo$13bob2obobob2ob
o$bo10b2o11b2o10bo$b2o10bob3o3b3obo10b2o$obo3b2o3bobobo2bobo2bobobo3b
2o3bobo$7b2o2b2o4b2ob2o4b2o2b2o$6bo25bo2$16b2o3b2o$11b2o4bo3bo4b2o$12b
2o3bobobo3b2o$11bo6b3o6bo2$16b7o$16bo2bo2bo2$16b2o3b2o$15bobo3bobo$17b
o3bo!

[Extrementhusiast]

EDIT: 68 bits of fun. Is this possible, or shall I go back to the drawing board?

Code: Select all

RLE

No, it's perfectly possible; it just takes 146 gliders:

Code: Select all

x = 1145, y = 48, rule = B3/S23
510bo$510bobo$510b2o2$444bo44bo$361bo83bo44b2o$127bobo232bo80b3o43b2o$
128b2o230b3o84bo$38bobo87bo317bo57bo$39b2o26bo343bo34b3o36bo11b2o4bo$
39bo5bo22bo64bobo226bo46bobo73b2o3bo6b2o4b3o$44bo21b3o64b2o196bo31bo
22bo23b2o72bobob2o$6bo37b3o81bobo3bo53bobo141bo3bo24b3o2b2o18bobo100b
2o520bo56bo20bobo25bobo$7b2o33bo86b2o57b2o140b3ob2o29bo2bo17b2o621bobo
56bobo19b2o25b2o$6b2o32bobo86bo59bo61bobo81b2o28bo2bo3bo42bobo383bo42b
o165b2o56b2o20bo9bo7bo9bo$41b2o6bo53bobo146b2o112b2o4bobo36bo3b2o384bo
bo38bobo168bobo48bobo26bobo5b2o3b2o5bobo$49bobo30bo21b2o146bo4bo114b2o
38b2o2bo384b2o40b2o168b2o50b2o27b2o4b2o5b2o4b2o$25bo23b2o31bobo19bo56b
2o26b2o65bo154b2o94bo506bo50bo24bo3bo19bo3bo$11bo11b2o49bo7b2o22bo23bo
31bo27bo65b3o34bo3bo118bo88b2o293bo44bo59bo39bo145bo25bo$9bobo12b2o49b
2obo22bo3bo23bobo29bo27bo97b2o5b2obobo35b2ob2o26b2ob2o3bo40bo27b2o49b
2o10b2o290bobo44bobo55bobo5bo27bo5bobo13bo6b2o13b2o6bo20b2o13b2o25bo
11b2o21b3o7bo9bo7b3o$10b2o28bob2o8bobo9bob2ob2o3b2o2bobo14bob2obobo2b
3o15bob2obobo8bo15bob2obo22bob2obo11bo13bob2ob2o3b2o16bob2ob2o3b2o6b3o
13bob2ob2o3bobo4b2o2b2o25bob2ob2o3bobob2o15bob2ob2o3bobob2o3bobo26bob
2ob2o5b3o16bob2ob2o3bo40bob2ob2o3bo40bob2ob2obo17bob2ob2obo22bob2ob2ob
o26bob2ob2obo27bob2ob2obo32bob2ob2obo23bob2ob2obo19bob2ob2obo25b2o2bob
2ob2obo19b2obob2ob2obo2b2o25b2obob2ob2obob2o17b2o6b2o4b2obob2ob2obob2o
4b2o6b2o15b2o3bo2bobob2ob2obobo2bo3b2o21bobobob2ob2obobobo24bobob2ob2o
bobobo30bobob2ob2obobo$40b2obo8b2o10b2obob2o7b2o15b2obob2o21b2obob2o8b
o16b2obob2o8bo12b2obob2o9bo14b2obobobobobo6bo9b2obobobobobo6bo15b2obob
obobobo36b2obobobobobo19b2obobobobobo7b2o27b2obobobo23b2obobobo2bobo
38b2obobobo2bob2o37b2obobob2o17b2obobob2o22b2obobob2o26b2obobob2o27b2o
bobob2o32b2obobob2o23b2obobob2o19b2obobob2o29b2obobob2o19b2ob2obobob2o
29b2ob2obobob2ob2o20b2o2b2o5b2ob2obobob2ob2o5b2o2b2o17b2o4b2obob2obobo
b2obob2o4b2o22bob2obobob2obo26bob2obobob2obo32bob2obobob2obo$12b2o39bo
84b3o29bobo17bo8b3o19bobo8bobo14bobo9bo21bobo45bobo28bobo45bo30bo3b2o
45bo3bobo407bobo33bobo13b2o10bo11bo10b2o18b2o11b2o24b2o11b2o19bo10b2o
11b2o10bo$13b2o25b2obo20b2obob2o24b2obob2o21b2obob2o4b3o18b2obob2o4b2o
2b2o11b2obob2o5b3o16b2obobobobobo6b2o8b2obobobobobo22b2obobobob2o37b2o
bobobob2o20b2obobobob2o37b2obobob2o22b2obobob2o11bo30b2obobob2o42b2obo
bob2o17b3o3b3o22b3o3b3o18bo7b3o3b3o27b3o3b3o32b3o3b3o23b3o3b3o19b3o3b
3o29b3o3b3o19b2ob3o3b3o29b2ob3o3b3ob2o21bo7b4ob3o3b3ob4o7bo14bobo7b2ob
ob3o3b3obob2o7bobo18bob3o3b3obo26bob3o3b3obo20b2o10bob3o3b3obo10b2o$
12bo27bob2o20bob2obobo23bob2obobo2b3o15bob2obobo3bo20bob2obo4b2o6b2o8b
ob2obo6bo18bob2ob2o3b2o3b2o11bob2ob2o3b2o2b2o18bob2ob2o41bob2ob2o24bob
2ob2o41bob2ob2o2bo21bob2ob2o2bo10bobo28bob2ob2o2bo41bob2ob2obo17bo2bob
o2bo22bo2bobo2bo16bobo7bo2bobo2bo27bo2bobo2bo32bo2bobo2bo23bo2bobo2bo
19bo2bobo2bo25b2o2bo2bobo2bo18bobobo2bobo2bo2b2o17bo6bobobo2bobo2bobob
o6bo21bo2bobo2bobo2bobo2bo24bo7bo2bobo2bobo2bobo2bo7bo18bobobo2bobo2bo
bobo22bobobo2bobo2bobobo17bobo3b2o3bobobo2bobo2bobobo3b2o3bobo$70bo30b
o3bo23bobo3bo25bo5bo5bobo13bo6bo32bobo24b2o111b3o39b2o29b2o10b2o37b2o
68b2o3b2o24b2o3b2o18b2o9b2ob2o17bo13b2ob2o36b2ob2o27b2ob2o23b2ob2o26bo
bo4b2ob2o21bo4b2ob2o4bobo14bobo7bo4b2ob2o4bo7bobo20b2o4b2ob2o4b2o34b2o
4b2ob2o4b2o27b2o4b2ob2o4b2o22b2o4b2ob2o4b2o24b2o2b2o4b2ob2o4b2o2b2o$3o
103bo23bo31bo10bo16bo38bo139bo163bo13bo39bobo63bo146bo44bo17b2o29b2o
17b2o21b2o153bo25bo$2bo46b2o53bo56b2o26b2o179bo80b3o80b2o9b2o41b2o30bo
30b3o2b2o208b2o23b2o19bobo21bobo197bo5bo$bo47bobo52b2o149b2o105b3o86bo
81b2o2b2o3b2o2b2o40bo4b2o25b2o33bo2bo11b2o27bobo4b2o3b2o8bo16b2o3b2o
21b2o3b2o31b2o3b2o24b2o3b2o25b2o7b2o3b2o7b2o22bo7b2o3b2o7bo36b2o3b2o
37b2o3b2o32b2o3b2o38b2o3b2o27b3o3b3o$41b2o6bo53bobo150b2o106bo87bo83bo
bo3bobo16b3o29b2o6b2o16bobo33bo2bo11bobo8bo18b2o5bo3bo9bobo15bo3bo23bo
3bo33bo3bo26bo3bo25bo10bo3bo10bo30bo3bo46bo3bo39bo3bo34bo3bo34b2o4bo3b
o4b2o21bo2b2ob2o2bo$40bobo86bo59bo65bo107bo4b2o168bo3bo20bo38b2o28b2o
22b2o13bo8bo19bo6bobobo9b2o16bobobo17bo5bobobo5bo27bobobo26bobobo36bob
obo41bobobo46bobobo39bobobo34bobobo35b2o3bobobo3b2o22bob2o3b2obo$42bo
27b3o56b2o57b2o68b3o96b2o8b2o72b2o119bo22b2o14bo3b2o24bobo46b3o25b2ob
2o27b3o19bo5b3o5bo29b3o28b3o38b3o43b3o48b3o41b3o36b3o35bo6b3o6bo23bo5b
o$44b3o25bo55bobo3bo53bobo67bo96b2ob2o9bo72b2o120b3o17bobo17b2o27bo
126b3o13b3o355bo2bo3bo2bo$44bo26bo61b2o124bo95b4o16bo65bo122bo21bo10b
2o7bo29b2o79b2o21b3o25b3o33b7o24b7o34b7o39b7o44b7o37b7o32b7o38b7o29bo
3bo$39bo5bo87bobo177b3o40b2o16b2o189bo32b2o37b2o78bobo19bo2bo15b2o7bo
3bo7b2o23bo2bo2bo24bo2bo2bo34bo2bo2bo39bo2bo2bo44bo2bo2bo37bo2bo2bo32b
o2bo2bo38bo2bo2bo27bobo3bobo$39b2o272bo55b3o2bobo220bo38bo3b2o75bo21b
2o16bobo7b2ob2o7bobo355bo3bo$38bobo87bo185bo53bo2bo268bobo17b2o97bo19b
o321b2o3b2o$128b2o241bo268bo20b2o39b3o8b2o385bobo3bobo$127bobo241bo
125b3o160bo5b3o35bo7b2o25b2o361bo3bo$368bobo125bo2bo168bo34bo10bo23bob
o2b2o$499bo167bo50bo21bo2bobo$495bo3bo208b2o7b2o24bo$499bo207bobo7bobo
$496bobo210bo29b2o$739bobo15b2o21b2o$710b2o27bo18b2o19b2o$710bobo44bo
23bo$710bo!

[Scorbie]

Congrats again! I think this year would be a year for spaceship syntheses (and guns and maybe rakes)

EDIT: Ah, right! Happy Birthday to you!

[codeholic]

Congratulations to your new synthesis, guys, and to your birthday, Martin!

[Sphenocorona]

I'm not sure how much of this is useful, but here's an incomplete predecessor of 46P4H1V0 (the c/4 orthogonal page needs to be updated to say that 37P4H1V0 is the smallest, still...) :

Code: Select all

x = 63, y = 17, rule = B3/S23
13bo3bo25bo11bo$13bo3bo23bo3bo7bo3bo$14bobo25b3o9b3o$14bobo$6bo6b2ob2o
6bo$8bo2bo7bo2bo18bo3bo7bo3bo$8b7ob7o18bob6ob6obo$5bo8bobo8bo14bo7bobo
7bo$10b2o7b2o19bo17bo$6b2o2b2o7b2o2b2o15bo5b2o3b2o5bo$6b2o5bo3bo5b2o
13bobo17bobo$2bo9bo5bo9bo7bobo21bobo$obob2o6bo12b2obobo6b2o21b2o$bo4bo
17bo4bo6bo25bo$7bo15bo$4b2o19b2o$5bo19bo!

The right side is three generations in advance, showing that when the pre-TLs are added the spaceship works fine Adding them might not be easy though...

[Kazyan]

The weekender is, as expected, ridiculously difficult to synthesize, but I've made inroads.

Code: Select all

x = 36, y = 22, rule = B3/S23
12bo10bo$13bo8bo$o10b3o8b3o10bo$b2o30b2o$2o32b2o2$14b2o4b2o$14b2o4b2o
3$7b2o3bo4b2o4bo3b2o$7bobobobo2bo2bo2bobobobo$10b2obo2bo2bo2bob2o$4b2o
8b2o4b2o8b2o$2o2b2o24b2o2b2o$b2o30b2o$o34bo3$5b3o20b3o$7bo20bo$6bo22bo!

There looks like enough room for a clever domino sparker instead of the brute-force ones at the top, while still getting the pre-TLs into positions at the front. The gliders approaching from the sides seem to be flexible in a hit-and-miss way, so if those could be arranged to give enough room for a construction of the back, this might work.

Here's another approach I spent much longer on, and am not sure how to keep going forward with.

Code: Select all

x = 34, y = 38, rule = LifeHistory
2.A28.A$A.A5.A.A4.4D4.A.A5.A.A$.2A4.A7.D2.D7.A4.2A$7.A7.D2.D7.A$7.A2.
A4.4D4.A2.A$7.3A8.D5.3A$18.D$5.A9.4D9.A$6.A4.A10.A4.A$4.3A4.A.A6.A.A
4.3A$11.2A8.2A$8.A16.A$9.A14.A$2.A.A2.3A14.3A2.A.A$3.2A24.2A$3.A9.2A
4.2A9.A$13.2A4.2A$3.2A.2A3.2A8.2A3.2A.2A$3.2A.A.A2.2A8.2A2.A.A.2A$7.
2A16.2A2$10.2A10.2A$10.2A10.2A$2.A2.A22.A2.A$6.A9.2A9.A$2.A3.A5.2A.A
2.A.2A5.A3.A$3.4A5.A.2A2.2A.A5.4A$9.D2A10.2AD$9.A14.A$10.A.C.2A2.2A.C
.A$11.2A.A2.A.A.2A$5.3A4.D3.2A3.D4.3A$7.A9.A8.A$6.A8.A11.A$15.2A$20.
3A$20.A$21.A!

EDIT: Getting closer, but the desired cell is always flanked by garbage...

Code: Select all

x = 34, y = 35, rule = B3/S23
2bo28bo$obo5bobo12bobo5bobo$b2o4bo18bo4b2o$7bo18bo$7bo2bo12bo2bo$7b3o
14b3o2$5bo22bo$6bo4bo10bo4bo$4b3o4bobo6bobo4b3o$11b2o8b2o$8bo16bo$9bo
14bo$2bobo2b3o14b3o2bobo$3b2o24b2o$3bo9b2o4b2o9bo$13b2o4b2o$3b2ob2o3b
2o8b2o3b2ob2o$3b2obobo2b2o8b2o2bobob2o$7b2o16b2o2$10b2o10b2o$10b2o10b
2o$3o28b3o$2bo3bo9b2o9bo3bo$bo2b2ob2o3b2obo2bob2o3b2ob2o2bo$6bo5bob2o
2b2obo5bo$10b2o10b2o$b2o6bo14bo6b2o$obo7bobob2o2b2obobo7bobo$2bo8b2obo
2bobob2o8bo$5b3o8b2o8b3o$7bo9bo8bo$6bo8bo11bo$15b2o!

EDIT 2: I've seen the TL+Block combo enough times to know that this might be possible. Unfortunately, shenanigans would be required for the back of the ship, at this point. Block/glider cycles necessary to get crossed glider streams omitted.

Code: Select all

x = 39, y = 39, rule = B3/S23
4bo28bo$2bobo5bobo12bobo5bobo$3b2o4bo18bo4b2o$9bo18bo$9bo2bo12bo2bo$9b
3o14b3o2$7bo22bo$8bo4bo10bo4bo$6b3o4bobo6bobo4b3o$13b2o8b2o$10bo16bo$
11bo14bo$4bobo2b3o14b3o2bobo$5b2o24b2o$5bo9b2o4b2o9bo$15b2o4b2o$5b2ob
2o3b2o8b2o3b2ob2o$5b2obobo2b2o8b2o2bobob2o$o8b2o16b2o7bo$b2o33bobo$2o
10b2o10b2o10b2o$12b2o10b2o$3b2o28b2o$3b2o3bo9b2o9bo3b2o$6b2ob2o3b2obo
2bob2o3b2ob2o$8bo5bob2o2b2obo5bo$12b2o10b2o$3b2o6bo14bo6b2o$2bobo7bobo
b2o2b2obobo7bobo$4bo8b2obo2bobob2o8bo$7b3o8b2o8b3o$9bo9bo8bo$8bo9bo10b
o$12bo5b2o5bo$11b2o12b2o$6b3o2bobo10bobo2b3o$8bo20bo$7bo22bo!

[Kazyan]

Another possible approach for the weekender. I haven't been able to fit parts together for a half-synthesis (still lifes to spaceship), though.

Code: Select all

x = 39, y = 25, rule = LifeHistory
11.3D10.3D2$11.D.D5.2A3.D.D$6.A5.D6.2A4.D5.A$7.A22.A$5.3A5.2D.D4CD.2D
5.3A$.2A13.A4.A13.2A$A.A6.3A2.D.AC2.CA.D2.3A5.2A.2A$2.A8.A14.A8.4A$
10.A4.D6CD4.A8.2A$16.A.2D.A$15.2D4A2D$19.A10.2A$21.A7.4A$20.2A6.2A.2A
$12.A16.2A$12.2A$11.A.A$27.A$26.A.A$18.A7.A.A$17.3A7.A$16.2A.A$16.3A$
17.2A!