Smallest Spaceships Supporting Specific Speeds (5s) Project

For discussion of other cellular automata.
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muzik
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by muzik » August 27th, 2017, 3:52 pm

Hdjensofjfnen wrote:c/3 diagonal?

Code: Select all

x = 5, y = 5, rule = B3/S234w
bo2bo$o3bo$4bo$3bo$3o!
2c/7 diagonal, and also, both speeds clearly have 3-cell examples already.

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

Post by Hdjensofjfnen » August 27th, 2017, 3:57 pm

muzik wrote: 2c/7 diagonal, and also, both speeds clearly have 3-cell examples already.
Oh.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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

Post by muzik » August 29th, 2017, 11:06 am

I've been considering compiling a few tables to keep tracks of periods up to 144. Here's the progress on the orthogonal one:
http://www.conwaylife.com/wiki/User:Awe ... s_overview

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

Post by muzik » August 29th, 2017, 2:55 pm

Doesn't seem like this classic 17c/47 was on the list:

Code: Select all

x = 89, y = 67, rule = B34tw5y_S23
bo$2o$obob3o$3o$2o3b2o2$3o$33bo$32b2o$32bobo3$5b2o$5b2o14b3o$20bo3bo$
19bo5bo$7bo10bo3bo3bo$6b3o2b3o4bo2bobo2bo$5b2obo9bo3bo3bo$5bo13bo5bo
35b2o$4b2o14bo3bo36bobo$5bo15b3o37bo$5b2o72bo$78b3o$77b5o$6bobo54bo12b
o5bo$6b2o55b3o9bo7bo$7bo56bobo7bo9bo$62bo4bo17bo$bobo60b3o19bo$2b2o82b
2o$2b2o66bo15b3o$86b2o$64b3o19bo$62bo4bo17bo$b2o61bobo7bo9bo$o62b3o9bo
7bo$o2bo59bo12bo5bo$bo2bo72b5o$o2b3o72b3o$2ob4o72bo$3b2o2bo53bo$bob4o
54bobo$4b2o55b2o2$b2o$b2o$8bo$7b3o$13b4o$13b4o$13b4o$7b3o$8bo23bobo$b
2o29b2o$b2o30bo6$2bo$ob2o$o$o4bo$o5bo$2b2obo!

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

Post by muzik » August 30th, 2017, 2:04 pm

(7,1)c/100:

Code: Select all

x = 37, y = 22, rule = B3578/S2-i34q
10b2o$10b2o5b2o$17b2o2$23bo$22bobo$21bobobo$22bo3bo$22bo2$2b2o20bobo$o
2bo30bo$o2bo30b2o$obo30bob2o$bo32bo$28bo$28b2o$12b2o15bo$11bob2o$11bo
2b2o$12bo2bo$13b2o!
Probably reducible.

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

Post by BlinkerSpawn » August 30th, 2017, 3:25 pm

muzik wrote:(7,1)c/100:

Code: Select all

x = 37, y = 22, rule = B3578/S2-i34q
10b2o$10b2o5b2o$17b2o2$23bo$22bobo$21bobobo$22bo3bo$22bo2$2b2o20bobo$o
2bo30bo$o2bo30b2o$obo30bob2o$bo32bo$28bo$28b2o$12b2o15bo$11bob2o$11bo
2b2o$12bo2bo$13b2o!
Probably reducible.
10% bounding box reduction:

Code: Select all

x = 33, y = 23, rule = B3578/S2-i34q
8b2o$8b2o5b2o$15b2o3$17bobo$16bo2bob2o$21b3o$b2o16b6o$b2o17bo2bo$17bo
4bo$16bo2b2o$10bo6b3o8bo$ob2o5b3o6bo10b3o$2bo5b4o15b2ob2o$3o5b2o16b2ob
2obo$8b2o2b3o11b2o$12b3o13b3o$12b3o$16b2o$10bo5b3o$14b4o$14b3o!
Minimal population:

Code: Select all

x = 37, y = 22, rule = B3578/S2-i34q
10b2o$10b2o5b2o$17b2o2$23b2o$21bo2bo$21bo2bo$21bobo$22bo2$2b2o$o2bo29b
2o$o2bo28bob2o$obo29bo2b2o$bo31bo2bo$34b2o2$12b2o$11bob2o$11bo2b2o$12b
o2bo$13b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

Post by muzik » August 30th, 2017, 3:31 pm

Currently playing with those "T-tetromino-is-a-failed-replicator-and-eventually-becomes-four-rakes/spaceships/puffers" rules.

Here's one where a T becomes these 30c/72 ships:

Code: Select all

x = 14, y = 9, rule = B34ertwy5a/S23
b2o$obo$bo3b2o4b2o$4bobo4bobo$4bo8bo$4bobo4bobo$bo3b2o4b2o$obo$b2o!

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

Post by gmc_nxtman » August 31st, 2017, 1:08 am

Simpler rule for the three-cell (2,1)c/11 knightship:

Code: Select all

x = 3, y = 4, rule = B2-a3-i/S01c2e
2bo2$o$2bo!

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

Post by BlinkerSpawn » August 31st, 2017, 10:44 pm

17 cells for 22c/52?

Code: Select all

x = 15, y = 7, rule = B34tw/S23
3o7b2o$10bo2bo$14bo$14bo$14bo$10bo2bo$3o7b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

Post by toroidalet » August 31st, 2017, 11:10 pm

10 cell 24c/138 diagonal:

Code: Select all

x = 4, y = 5, rule = B2k35c7c/S23-ae4i
b2o$o2bo$o2bo$b3o$bo!
Any sufficiently advanced software is indistinguishable from malice.

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

Post by muzik » September 2nd, 2017, 8:45 am

Is this one too big?

Code: Select all

x = 1879, y = 1900, rule = B37/S2-i34q
704b2o$703bo2bo$703bo2bo$704b2o8$715b2o$714bo2bo$714bo2bo$715b2o3$698b
2o$697bo2bo$697bo2bo$698b2o2$726b2o$725bo2bo$725bo2bo$726b2o3$709b2o$
708bo2bo$708bo2bo$709b2o2$737b2o$736bo2bo$736bo2bo$737b2o3$720b2o$719b
o2bo$719bo2bo$720b2o2$748b2o$747bo2bo$747bo2bo$748b2o3$731b2o$730bo2bo
$730bo2bo$731b2o2$759b2o$758bo2bo$758bo2bo$759b2o3$742b2o$741bo2bo$
741bo2bo$742b2o2$770b2o$769bo2bo$769bo2bo$770b2o3$753b2o$752bo2bo$752b
o2bo$753b2o2$781b2o$780bo2bo$780bo2bo$781b2o3$764b2o$763bo2bo$763bo2bo
$764b2o2$792b2o$791bo2bo$791bo2bo$792b2o3$775b2o$774bo2bo$774bo2bo$
775b2o2$803b2o$802bo2bo$802bo2bo$803b2o3$786b2o$785bo2bo$785bo2bo$786b
2o2$814b2o$813bo2bo$813bo2bo$814b2o3$797b2o$796bo2bo$796bo2bo$797b2o2$
825b2o$824bo2bo$824bo2bo$825b2o3$703b3o102b2o$703b3o101bo2bo$704bo102b
o2bo$808b2o2$836b2o$835bo2bo$835bo2bo$836b2o3$819b2o$818bo2bo$818bo2bo
$819b2o2$847b2o$846bo2bo$846bo2bo$847b2o3$830b2o$829bo2bo$829bo2bo$
830b2o2$858b2o$857bo2bo$857bo2bo$858b2o3$841b2o$840bo2bo$840bo2bo$841b
2o2$869b2o$868bo2bo$868bo2bo$869b2o3$852b2o$851bo2bo$851bo2bo$852b2o2$
880b2o$879bo2bo$879bo2bo$880b2o3$863b2o$862bo2bo$862bo2bo$863b2o2$891b
2o$890bo2bo$890bo2bo$891b2o3$874b2o$873bo2bo$873bo2bo$874b2o2$902b2o$
901bo2bo$901bo2bo$902b2o3$885b2o$884bo2bo$884bo2bo$885b2o2$913b2o$912b
o2bo$912bo2bo$913b2o3$896b2o$895bo2bo$895bo2bo$896b2o2$924b2o$923bo2bo
$923bo2bo$924b2o3$907b2o$906bo2bo$906bo2bo$907b2o2$935b2o$934bo2bo$
934bo2bo$935b2o3$918b2o$917bo2bo$917bo2bo$918b2o2$946b2o$945bo2bo$945b
o2bo$946b2o3$929b2o$928bo2bo$928bo2bo$929b2o$867b2o$866bo2bo87b2o$866b
o2bo86bo2bo$867b2o87bo2bo$957b2o3$940b2o$939bo2bo$939bo2bo$940b2o2$
968b2o$967bo2bo$967bo2bo$968b2o3$951b2o$950bo2bo$950bo2bo$951b2o$889b
2o$888bo2bo87b2o$888bo2bo86bo2bo$889b2o87bo2bo$979b2o3$962b2o$961bo2bo
$961bo2bo$962b2o2$990b2o$989bo2bo$989bo2bo$990b2o3$973b2o$972bo2bo$
972bo2bo$973b2o$911b2o$910bo2bo87b2o$910bo2bo86bo2bo$911b2o87bo2bo$
1001b2o3$984b2o$983bo2bo$983bo2bo$984b2o2$1012b2o$1011bo2bo$1011bo2bo$
1012b2o3$995b2o$994bo2bo$994bo2bo$995b2o$933b2o$932bo2bo87b2o$932bo2bo
86bo2bo$933b2o87bo2bo$1023b2o3$1006b2o$1005bo2bo$1005bo2bo$1006b2o2$
1034b2o$1033bo2bo$1033bo2bo$1034b2o3$1017b2o$1016bo2bo$1016bo2bo$1017b
2o$955b2o$954bo2bo87b2o$954bo2bo86bo2bo$955b2o87bo2bo$1045b2o3$1028b2o
$1027bo2bo$1027bo2bo$1028b2o2$1056b2o$1055bo2bo$1055bo2bo$1056b2o3$
1039b2o$1038bo2bo$1038bo2bo$1039b2o$977b2o$976bo2bo87b2o$976bo2bo86bo
2bo$977b2o87bo2bo$1067b2o3$1050b2o$1049bo2bo$1049bo2bo$1050b2o2$1078b
2o$1077bo2bo$1077bo2bo$340bo737b2o$340b2o$339bobo$1061b2o$1060bo2bo$
1060bo2bo$1061b2o$999b2o$998bo2bo87b2o$998bo2bo86bo2bo$999b2o87bo2bo$
1089b2o3$1072b2o$1071bo2bo$737b2o332bo2bo$736bo2bo332b2o$736bo2bo$737b
2o361b2o$1099bo2bo$1099bo2bo$1100b2o3$1083b2o$1082bo2bo$748b2o332bo2bo
$747bo2bo332b2o$747bo2bo270b2o$748b2o270bo2bo87b2o$1020bo2bo86bo2bo$
1021b2o87bo2bo$731b2o378b2o$730bo2bo$730bo2bo$731b2o361b2o$1093bo2bo$
759b2o332bo2bo$758bo2bo332b2o$758bo2bo$759b2o361b2o$1121bo2bo$1121bo2b
o$742b2o378b2o$741bo2bo$741bo2bo$742b2o361b2o$1104bo2bo$770b2o332bo2bo
$769bo2bo332b2o$769bo2bo270b2o$770b2o270bo2bo87b2o$1042bo2bo86bo2bo$
1043b2o87bo2bo$753b2o378b2o$752bo2bo$752bo2bo$753b2o361b2o$1115bo2bo$
781b2o332bo2bo$780bo2bo332b2o$780bo2bo$781b2o361b2o$1143bo2bo$1143bo2b
o$764b2o378b2o$763bo2bo$763bo2bo$764b2o361b2o$1126bo2bo$792b2o332bo2bo
$791bo2bo332b2o$791bo2bo270b2o$792b2o270bo2bo87b2o$1064bo2bo86bo2bo$
1065b2o87bo2bo$775b2o378b2o$647bobo124bo2bo$647b2o125bo2bo$648bo126b2o
361b2o$1137bo2bo$803b2o332bo2bo$725b3o74bo2bo332b2o$726bo75bo2bo$726bo
76b2o361b2o$1165bo2bo$1165bo2bo$786b2o378b2o$785bo2bo$785bo2bo$786b2o
361b2o$1148bo2bo$814b2o332bo2bo$813bo2bo332b2o$813bo2bo270b2o$814b2o
270bo2bo87b2o$1086bo2bo86bo2bo$1087b2o87bo2bo$797b2o378b2o$796bo2bo$
796bo2bo$797b2o361b2o$1159bo2bo$825b2o332bo2bo$824bo2bo332b2o$824bo2bo
$825b2o361b2o$1187bo2bo$1187bo2bo$808b2o378b2o$807bo2bo$807bo2bo$808b
2o361b2o$1170bo2bo$836b2o332bo2bo$835bo2bo332b2o$835bo2bo270b2o$836b2o
270bo2bo87b2o$1108bo2bo86bo2bo$1109b2o87bo2bo$819b2o378b2o$818bo2bo$
818bo2bo$819b2o361b2o$1181bo2bo$847b2o332bo2bo$846bo2bo332b2o$846bo2bo
$847b2o361b2o$1209bo2bo$1209bo2bo$830b2o378b2o$829bo2bo$829bo2bo$830b
2o361b2o$1192bo2bo$858b2o332bo2bo$857bo2bo332b2o$857bo2bo270b2o$858b2o
270bo2bo87b2o$1130bo2bo86bo2bo$1131b2o87bo2bo$841b2o378b2o$840bo2bo$
840bo2bo$841b2o361b2o$1203bo2bo$869b2o332bo2bo$868bo2bo332b2o$868bo2bo
$869b2o361b2o$1231bo2bo$1231bo2bo$852b2o378b2o$851bo2bo$851bo2bo$852b
2o361b2o$1214bo2bo$880b2o332bo2bo$879bo2bo332b2o$879bo2bo270b2o$880b2o
270bo2bo87b2o$1152bo2bo86bo2bo$1153b2o87bo2bo$863b2o378b2o$862bo2bo$
862bo2bo$863b2o361b2o$1225bo2bo$891b2o332bo2bo$890bo2bo332b2o$890bo2bo
$891b2o361b2o$1253bo2bo$1253bo2bo$874b2o378b2o$873bo2bo$873bo2bo$874b
2o361b2o$1236bo2bo$902b2o332bo2bo$901bo2bo332b2o$901bo2bo270b2o$902b2o
270bo2bo87b2o$1174bo2bo86bo2bo$1175b2o87bo2bo$885b2o378b2o$884bo2bo$
884bo2bo$885b2o361b2o$1247bo2bo$913b2o332bo2bo$912bo2bo332b2o$912bo2bo
$913b2o361b2o$1275bo2bo$1275bo2bo$896b2o378b2o$895bo2bo$895bo2bo$896b
2o361b2o$1258bo2bo$533b2o389b2o332bo2bo$534b2o387bo2bo332b2o$533bo389b
o2bo270b2o$924b2o270bo2bo87b2o$1196bo2bo86bo2bo$1197b2o87bo2bo$907b2o
378b2o$906bo2bo$906bo2bo$907b2o361b2o$1269bo2bo$935b2o332bo2bo$934bo2b
o332b2o$934bo2bo$935b2o361b2o$1297bo2bo$1297bo2bo$918b2o378b2o$917bo2b
o$917bo2bo$918b2o361b2o$1280bo2bo$946b2o332bo2bo$945bo2bo332b2o$945bo
2bo270b2o$946b2o270bo2bo$1218bo2bo$1219b2o$929b2o$928bo2bo$928bo2bo$
929b2o361b2o$1291bo2bo$957b2o332bo2bo$956bo2bo332b2o$956bo2bo356b3o$
957b2o357b3o$1314b2o3bo$1314bo$940b2o372bo4bo$939bo2bo372b3o$939bo2bo
373bo$940b2o377b2o$1319bobo$968b2o348bob2o$737bo229bo2bo347bo3b2o$737b
o229bo2bo270b2o75bobo2bo$736bobo229b2o270bo2bo76bob2o$1240bo2bo77bo$
737bo503b2o$951b2o$950bo2bo$950bo2bo$951b2o2$979b2o$978bo2bo$978bo2bo$
979b2o3$962b2o$961bo2bo$961bo2bo$962b2o2$990b2o$989bo2bo$989bo2bo270b
2o$990b2o270bo2bo$1262bo2bo$1263b2o$973b2o$972bo2bo$972bo2bo$973b2o2$
1001b2o$1000bo2bo$1000bo2bo$1001b2o3$984b2o$983bo2bo$983bo2bo$984b2o2$
1012b2o$1011bo2bo$1011bo2bo270b2o$1012b2o270bo2bo$1284bo2bo$1285b2o$
995b2o$994bo2bo$994bo2bo$995b2o2$1023b2o$1022bo2bo$1022bo2bo$1023b2o3$
1006b2o$1005bo2bo$1005bo2bo$1006b2o2$1034b2o$1033bo2bo$1033bo2bo270b2o
$1034b2o270bo2bo$1306bo2bo$1307b2o$1017b2o$1016bo2bo$1016bo2bo$1017b2o
2$1045b2o$1044bo2bo$1044bo2bo$1045b2o3$1028b2o$1027bo2bo$1027bo2bo$
1028b2o2$1056b2o$1055bo2bo$1055bo2bo270b2o$1056b2o270bo2bo$1328bo2bo$
1329b2o$1039b2o$1038bo2bo$1038bo2bo$1039b2o2$1067b2o$1066bo2bo$1066bo
2bo$1067b2o3$1050b2o$1049bo2bo$1049bo2bo$1050b2o2$1078b2o$1077bo2bo$
1077bo2bo270b2o$1078b2o270bo2bo$18b2o1330bo2bo$17bo2bo1330b2o$17bo2bo
1040b2o$18b2o1040bo2bo$1060bo2bo$1061b2o$b2o9bo$o2bo6b2o2bo1074b2o$o2b
o8bo1075bo2bo$b2o1085bo2bo$1089b2o$29b2o$28bo2bo$28bo2bo1040b2o$29b2o
1040bo2bo$1071bo2bo$1072b2o$12b2o$11bo2bo1085b2o$11bo2bo1084bo2bo$12b
2o1085bo2bo270b2o$1100b2o270bo2bo$40b2o1330bo2bo$39bo2bo1330b2o$39bo2b
o1040b2o$40b2o1040bo2bo$1082bo2bo$1083b2o$23b2o318b2o$22bo2bo317b3o
765b2o$22bo2bo317b2o765bo2bo$23b2o1085bo2bo$1111b2o$51b2o328b2o$50bo2b
o326bo2bo$50bo2bo326bo2bo710b2o$51b2o328b2o710bo2bo$1093bo2bo$1094b2o$
34b2o328b2o144bo$33bo2bo326bo2bo142b2o611b2o$33bo2bo326bo2bo143bo610bo
2bo$34b2o328b2o755bo2bo270b2o$1122b2o19bobo248bo2bo$62b2o328b2o752bo
247bo2bo$61bo2bo326bo2bo748bo251b2o$61bo2bo326bo2bo710b2o37bo2bo$62b2o
328b2o710bo2bo27b2o5bo2b2o$1104bo2bo26bob3o2bobo$1105b2o27b6ob2o$45b2o
328b2o299bo459b2o2bo2bo$44bo2bo326bo2bo298b3o458b2o$44bo2bo326bo2bo
298bo460b3o3bo$45b2o328b2o371bo387b2o5bo$747bobo381bo$73b2o328b2o727b
2o6bobo60b2o$72bo2bo326bo2bo341b3o380bo2bo6b2o60bo2bo$72bo2bo326bo2bo
725bobo68bo2bo$73b2o328b2o726b2o70b2o3$56b2o328b2o455bo$55bo2bo326bo2b
o452b2o2bo$55bo2bo326bo2bo454bo$56b2o328b2o1029b2o$1416bo2bo$84b2o328b
2o798b2o200bo2bo$83bo2bo326bo2bo796bo2bo200b2o$83bo2bo326bo2bo796bo2bo
$84b2o328b2o798b2o3$67b2o328b2o609bobo186b2o$66bo2bo326bo2bo607bo2bo
185bo2bo$66bo2bo326bo2bo608bobo185bo2bo$67b2o328b2o798b2o2$95b2o328b2o
798b2o$94bo2bo326bo2bo796bo2bo$94bo2bo326bo2bo796bo2bo$95b2o328b2o798b
2o3$78b2o157bobo168b2o798b2o$77bo2bo156b2o168bo2bo796bo2bo$77bo2bo157b
o168bo2bo796bo2bo$78b2o328b2o798b2o229b2o$1438bo2bo$106b2o328b2o798b2o
200bo2bo$105bo2bo326bo2bo796bo2bo200b2o$105bo2bo326bo2bo796bo2bo$106b
2o328b2o798b2o3$89b2o328b2o798b2o$88bo2bo326bo2bo796bo2bo$88bo2bo326bo
2bo796bo2bo$89b2o328b2o798b2o2$117b2o328b2o798b2o$116bo2bo326bo2bo796b
o2bo$116bo2bo326bo2bo796bo2bo$117b2o328b2o798b2o$1202b3o$1203bo$100b2o
328b2o771bo26b2o$99bo2bo326bo2bo796bo2bo$99bo2bo326bo2bo796bo2bo$100b
2o328b2o798b2o229b2o$1460bo2bo$128b2o328b2o798b2o200bo2bo$127bo2bo326b
o2bo796bo2bo200b2o$127bo2bo326bo2bo796bo2bo$128b2o328b2o798b2o3$111b2o
328b2o798b2o$110bo2bo326bo2bo796bo2bo$110bo2bo326bo2bo796bo2bo$111b2o
328b2o798b2o2$139b2o328b2o798b2o$138bo2bo326bo2bo796bo2bo$138bo2bo326b
o2bo796bo2bo$139b2o328b2o798b2o3$122b2o328b2o798b2o$121bo2bo326bo2bo
796bo2bo$121bo2bo326bo2bo796bo2bo$122b2o328b2o798b2o229b2o$1482bo2bo$
150b2o328b2o798b2o200bo2bo$149bo2bo326bo2bo796bo2bo200b2o$149bo2bo326b
o2bo796bo2bo$150b2o328b2o798b2o$190b2o$189bo2bo$133b2o54bo2bo270b2o
798b2o$132bo2bo54b2o270bo2bo796bo2bo$132bo2bo326bo2bo796bo2bo$133b2o
328b2o798b2o2$161b2o328b2o798b2o$160bo2bo326bo2bo796bo2bo$160bo2bo326b
o2bo695bo100bo2bo$161b2o328b2o695b2o101b2o$1188bobo2$144b2o328b2o798b
2o$143bo2bo326bo2bo796bo2bo$143bo2bo326bo2bo796bo2bo$144b2o328b2o798b
2o229b2o$1504bo2bo$172b2o328b2o798b2o200bo2bo$171bo2bo326bo2bo796bo2bo
200b2o$171bo2bo326bo2bo796bo2bo$172b2o328b2o798b2o$212b2o$211bo2bo$
155b2o54bo2bo270b2o798b2o$154bo2bo54b2o270bo2bo796bo2bo$154bo2bo326bo
2bo796bo2bo$155b2o328b2o798b2o2$183b2o328b2o798b2o$182bo2bo326bo2bo
796bo2bo$182bo2bo326bo2bo796bo2bo$183b2o328b2o798b2o3$166b2o328b2o798b
2o$165bo2bo326bo2bo796bo2bo$165bo2bo326bo2bo796bo2bo$166b2o328b2o798b
2o229b2o$1526bo2bo$194b2o328b2o798b2o200bo2bo$193bo2bo326bo2bo796bo2bo
200b2o$193bo2bo326bo2bo796bo2bo$194b2o328b2o798b2o$234b2o$233bo2bo$
177b2o54bo2bo270b2o798b2o$176bo2bo54b2o270bo2bo796bo2bo$176bo2bo326bo
2bo796bo2bo$177b2o328b2o798b2o2$205b2o328b2o798b2o$204bo2bo326bo2bo
796bo2bo$204bo2bo326bo2bo796bo2bo$205b2o328b2o798b2o3$188b2o328b2o798b
2o$187bo2bo326bo2bo796bo2bo$187bo2bo326bo2bo796bo2bo$188b2o328b2o798b
2o229b2o$1548bo2bo$216b2o328b2o798b2o200bo2bo$215bo2bo326bo2bo796bo2bo
200b2o$215bo2bo326bo2bo796bo2bo$216b2o328b2o798b2o$256b2o$255bo2bo$
199b2o54bo2bo270b2o798b2o$198bo2bo54b2o270bo2bo796bo2bo$198bo2bo326bo
2bo796bo2bo$199b2o328b2o798b2o2$227b2o328b2o798b2o$226bo2bo326bo2bo
796bo2bo$226bo2bo326bo2bo796bo2bo$227b2o328b2o798b2o3$210b2o328b2o798b
2o$209bo2bo326bo2bo796bo2bo$209bo2bo326bo2bo796bo2bo$210b2o328b2o798b
2o229b2o$1570bo2bo$238b2o328b2o188b3o607b2o200bo2bo$237bo2bo326bo2bo
187b3o606bo2bo200b2o$237bo2bo326bo2bo188bo607bo2bo$238b2o328b2o798b2o$
278b2o$277bo2bo$221b2o54bo2bo270b2o798b2o$220bo2bo54b2o270bo2bo796bo2b
o$220bo2bo326bo2bo796bo2bo$221b2o328b2o798b2o2$249b2o328b2o798b2o$248b
o2bo326bo2bo796bo2bo$248bo2bo326bo2bo796bo2bo$249b2o328b2o798b2o3$232b
2o328b2o798b2o$231bo2bo326bo2bo796bo2bo$231bo2bo326bo2bo796bo2bo$232b
2o328b2o798b2o229b2o$1592bo2bo$260b2o328b2o798b2o200bo2bo$259bo2bo326b
o2bo796bo2bo200b2o$259bo2bo326bo2bo796bo2bo$260b2o328b2o798b2o$300b2o$
299bo2bo$243b2o54bo2bo270b2o798b2o$242bo2bo54b2o270bo2bo796bo2bo$242bo
2bo326bo2bo796bo2bo$243b2o328b2o798b2o2$271b2o328b2o798b2o$270bo2bo
326bo2bo796bo2bo$270bo2bo326bo2bo796bo2bo$271b2o328b2o798b2o3$254b2o
328b2o798b2o$253bo2bo326bo2bo796bo2bo$253bo2bo326bo2bo796bo2bo$254b2o
328b2o798b2o229b2o$1614bo2bo$282b2o328b2o798b2o200bo2bo$281bo2bo326bo
2bo796bo2bo200b2o$281bo2bo326bo2bo796bo2bo$282b2o328b2o798b2o$322b2o$
321bo2bo$265b2o54bo2bo270b2o798b2o$264bo2bo54b2o270bo2bo796bo2bo$264bo
2bo326bo2bo796bo2bo$265b2o328b2o798b2o2$293b2o328b2o798b2o$292bo2bo
326bo2bo796bo2bo$292bo2bo326bo2bo796bo2bo$293b2o328b2o798b2o3$276b2o
328b2o352bo445b2o$275bo2bo326bo2bo351b2o443bo2bo$275bo2bo326bo2bo350bo
bo443bo2bo$276b2o328b2o798b2o229b2o$1636bo2bo$304b2o328b2o798b2o200bo
2bo$303bo2bo326bo2bo796bo2bo200b2o$303bo2bo326bo2bo796bo2bo$304b2o328b
2o798b2o$344b2o$343bo2bo$287b2o54bo2bo270b2o798b2o$286bo2bo54b2o270bo
2bo796bo2bo$286bo2bo326bo2bo796bo2bo$287b2o328b2o798b2o2$315b2o328b2o
798b2o$314bo2bo326bo2bo796bo2bo$314bo2bo326bo2bo796bo2bo$315b2o328b2o
798b2o3$298b2o328b2o798b2o$297bo2bo326bo2bo796bo2bo$297bo2bo326bo2bo
796bo2bo$298b2o328b2o798b2o229b2o$1658bo2bo$326b2o328b2o798b2o200bo2bo
$325bo2bo326bo2bo796bo2bo200b2o$325bo2bo326bo2bo796bo2bo$326b2o328b2o
798b2o$366b2o$365bo2bo$309b2o54bo2bo270b2o798b2o$308bo2bo54b2o270bo2bo
796bo2bo$308bo2bo326bo2bo796bo2bo$309b2o328b2o798b2o2$337b2o328b2o798b
2o$336bo2bo326bo2bo796bo2bo$336bo2bo326bo2bo796bo2bo$337b2o328b2o798b
2o3$320b2o328b2o798b2o$319bo2bo326bo2bo796bo2bo$319bo2bo326bo2bo796bo
2bo$320b2o328b2o798b2o229b2o$1680bo2bo$348b2o328b2o798b2o200bo2bo$347b
o2bo326bo2bo796bo2bo200b2o$347bo2bo326bo2bo796bo2bo$348b2o328b2o798b2o
$388b2o$387bo2bo$331b2o54bo2bo270b2o798b2o$330bo2bo54b2o270bo2bo796bo
2bo$330bo2bo326bo2bo796bo2bo$331b2o328b2o798b2o2$359b2o328b2o798b2o$
358bo2bo326bo2bo796bo2bo$358bo2bo326bo2bo796bo2bo$359b2o328b2o798b2o3$
342b2o328b2o798b2o$341bo2bo326bo2bo208bo587bo2bo$341bo2bo326bo2bo206b
2o588bo2bo$342b2o328b2o208b2o510bo77b2o229b2o$1393b2o307bo2bo$370b2o
328b2o691bobo104b2o200bo2bo$369bo2bo326bo2bo796bo2bo200b2o$369bo2bo
326bo2bo796bo2bo$370b2o328b2o798b2o$410b2o$409bo2bo$353b2o54bo2bo270b
2o798b2o$352bo2bo54b2o270bo2bo796bo2bo$352bo2bo326bo2bo796bo2bo$353b2o
328b2o798b2o2$381b2o328b2o798b2o$380bo2bo326bo2bo796bo2bo$380bo2bo326b
o2bo796bo2bo$381b2o328b2o798b2o3$364b2o328b2o798b2o$363bo2bo326bo2bo
796bo2bo$363bo2bo326bo2bo796bo2bo$364b2o328b2o798b2o229b2o$1724bo2bo$
392b2o328b2o798b2o200bo2bo$391bo2bo326bo2bo796bo2bo200b2o$391bo2bo326b
o2bo796bo2bo$392b2o328b2o798b2o$432b2o$431bo2bo$375b2o54bo2bo270b2o
798b2o$374bo2bo54b2o270bo2bo796bo2bo$374bo2bo326bo2bo796bo2bo$375b2o
328b2o798b2o2$403b2o328b2o798b2o$402bo2bo326bo2bo34bo761bo2bo$402bo2bo
326bo2bo33b3o760bo2bo$403b2o328b2o798b2o3$386b2o328b2o798b2o$385bo2bo
326bo2bo796bo2bo$385bo2bo326bo2bo796bo2bo$386b2o328b2o798b2o229b2o$
1746bo2bo$414b2o1128b2o200bo2bo$413bo2bo1126bo2bo200b2o$413bo2bo1126bo
2bo$414b2o332b2o8bo2bo782b2o$454b2o291bo2b4o4bo2bo$453bo2bo290bob2o3b
4o2bobo$397b2o54bo2bo270b2o19bo2b2o2b7o765b2o$396bo2bo54b2o270bo2bo21b
2o3b5o765bo2bo$396bo2bo326bo2bo27bo768bo2bo$397b2o328b2o26b3o769b2o2$
425b2o320b2o10bo795b2o$424bo2bo319b2o8bo3b2o791bo2bo$424bo2bo329bo3bo
792bo2bo$425b2o330b2o2bo793b2o$758bobo$753b3o$408b2o343b4obo3bo775b2o$
407bo2bo344bo4b2o2bo772bo2bo$407bo2bo349b3obo772bo2bo$408b2o351b2ob2o
772b2o229b2o$765bo1002bo2bo$436b2o324bobo801b2o200bo2bo$435bo2bo323b2o
801bo2bo200b2o$435bo2bo323bo802bo2bo$436b2o1128b2o$476b2o$475bo2bo$
419b2o54bo2bo1070b2o$418bo2bo54b2o1070bo2bo$418bo2bo1126bo2bo$419b2o
1128b2o229b2o$1779bo2bo$447b2o1128b2o200bo2bo$446bo2bo1126bo2bo200b2o$
446bo2bo1126bo2bo$447b2o1128b2o2$1225bo$430b2o792bobo333b2o$429bo2bo
1126bo2bo$429bo2bo791b3o332bo2bo$430b2o1128b2o229b2o$1790bo2bo$458b2o
1128b2o200bo2bo$457bo2bo1126bo2bo200b2o$457bo2bo1126bo2bo$458b2o1128b
2o$498b2o$497bo2bo$441b2o54bo2bo1070b2o$440bo2bo54b2o1070bo2bo$440bo2b
o1126bo2bo$441b2o1128b2o229b2o$1801bo2bo$469b2o1128b2o200bo2bo$468bo2b
o1126bo2bo200b2o$468bo2bo1126bo2bo$469b2o1128b2o3$452b2o1128b2o$451bo
2bo1126bo2bo$451bo2bo1126bo2bo$452b2o1128b2o229b2o$1812bo2bo$480b2o
1128b2o200bo2bo$479bo2bo1126bo2bo200b2o$479bo2bo1126bo2bo$480b2o1128b
2o$520b2o$519bo2bo$463b2o54bo2bo1070b2o$462bo2bo54b2o1070bo2bo$462bo2b
o1126bo2bo$463b2o1128b2o229b2o$1823bo2bo$491b2o1128b2o200bo2bo$490bo2b
o1126bo2bo200b2o$490bo2bo1126bo2bo$491b2o1128b2o3$474b2o1128b2o$473bo
2bo1126bo2bo$473bo2bo1126bo2bo$474b2o1128b2o229b2o$1834bo2bo$502b2o
1128b2o200bo2bo$501bo2bo1126bo2bo200b2o$501bo2bo1126bo2bo$502b2o1128b
2o$542b2o$541bo2bo$485b2o54bo2bo1070b2o$484bo2bo54b2o1070bo2bo$484bo2b
o1126bo2bo$485b2o1128b2o229b2o$1845bo2bo$513b2o1128b2o200bo2bo$512bo2b
o1126bo2bo200b2o$512bo2bo1126bo2bo$513b2o1128b2o$781b2o$780bo2bo$496b
2o282bo2bo842b2o$495bo2bo282b2o842bo2bo$495bo2bo1126bo2bo$496b2o1128b
2o229b2o$764b2o122b2o966bo2bo$524b2o237bo2bo121b3o763b2o200bo2bo$523bo
2bo236bo2bo121b2o763bo2bo200b2o$523bo2bo237b2o887bo2bo$524b2o1128b2o$
564b2o226b2o1076bo4bobo$563bo2bo224bo2bo1074bobo6bo$507b2o54bo2bo224bo
2bo842b2o229bo2bo2bo2bo$506bo2bo54b2o226b2o842bo2bo27b2o200b3o3b3o$
506bo2bo1126bo2bo26bo2bo206bo$507b2o1128b2o28bo208bo$775b2o$535b2o237b
o2bo1088b3o$534bo2bo236bo2bo892bo195bobo$534bo2bo237b2o888b3o3bo193bo
3b2o4b2o$535b2o1127bo2bo2bo194b3ob2o4b2o$803b2o860bo3b2o5bobo186bo3b2o
$802bo2bo871bo8b3o176bob2o$518b2o282bo2bo842b2o25b3o7bob2o176b2o$517bo
2bo282b2o842bo2bo24b2o9b3o$517bo2bo1126bo2bo36bo$518b2o1128b2o29bobo8b
2o$786b2o433bo456bo10b3o$546b2o237bo2bo432b3o454bo2bo7b2o$545bo2bo236b
o2bo432bo456bo2bo7bo$545bo2bo237b2o888b2o2bo$546b2o1127bobo3bo$586b2o
226b2o858bo3bo2bo112bo$585bo2bo224bo2bo858bo8b2o92b2o14b3o$529b2o54bo
2bo224bo2bo860bob2o3b2o91bo2bo13bo$528bo2bo54b2o226b2o961bo2bo$528bo2b
o1246b2o$529b2o$797b2o$557b2o237bo2bo$556bo2bo236bo2bo1020b2o$556bo2bo
237b2o1021b2o$557b2o1262bo$825b2o993b2o$824bo2bo992b2o$540b2o282bo2bo
985b2o3bobo$539bo2bo282b2o986b2o2b2o$539bo2bo1274bobo$540b2o1276bo$
808b2o743bobo$568b2o237bo2bo741bo2bo237bo$567bo2bo236bo2bo742bobo235bo
$567bo2bo237b2o980bo4bo$568b2o1223bo$608b2o226b2o804b2o151bo$607bo2bo
224bo2bo760bo41bo2bo144bo2b3o$551b2o54bo2bo224bo2bo759b2o41bo2bo148b3o
$550bo2bo54b2o226b2o760bobo41b2o146b2o$550bo2bo1237b4o$551b2o$819b2o
804b2o$579b2o237bo2bo802bo2bo124bo$578bo2bo236bo2bo802bo2bo120b9o$578b
o2bo237b2o804b2o121b2obo2b3o$579b2o1170bo2bo$847b2o804b2o97bobo$846bo
2bo802bo2bo98bo$562b2o282bo2bo802bo2bo96bobo$561bo2bo282b2o804b2o96bo
2bo$561bo2bo1187b2o$562b2o1188bo$830b2o804b2o117bo$829bo2bo802bo2bo
117b5o$829bo2bo802bo2bo116bo3b2o$603bo226b2o804b2o118b3o$596b2o5b2o
1151bo$596b2o7bo24b2o226b2o892b2o3bo$595bobo3bo3bo23bo2bo224bo2bo892b
2ob2o$573b2o20bo2bo2b2obo24bo2bo224bo2bo893bob2o$572bo2bo20bo2bo2bobo
25b2o226b2o815bo78b3o$572bo2bo20b2ob2o1072b4o$573b2o23b2o5b2o1065b2o2b
2o4bo$604bob2o233b2o804b2o22bo3bobo3b3o$593b2o10bobo232bo2bo802bo2bo
22b2o2b2o2bo$593b2o7bo2bo234bo2bo802bo2bo23b2obo2b2o32bo$598bob2ob3obo
233b2o804b2o26bo3b2o32bo$597bo3bobob2o1061bo10b2obo$597b3obo267b2o796b
obo11bo$598bob4o2bo261bo2bo79b2o714bobo12bo$598b3obo2b2o261bo2bo78b2o
716bo39b2o$599bob2ob2o263b2o81bo$600b5o1098bo$601b3o5bo1094bo$608bobo
241b2o850b2o9b2o$607bo2bo240bo2bo845bo5bo8b2o$603b2o2bobo241bo2bo846bo
b4o$603b2o3bo243b2o829bo16bo3bo2bo$1682bobo13b2ob2ob2ob3o4b2o$652b2o
226b2o799bo2bo12bobo2bob2ob3o3bo2bo$651bo2bo224bo2bo794b2o2bobo12bo5bo
9bo2bo$651bo2bo224bo2bo794b2o3bo14b2ob2o11b2o$652b2o226b2o815b4o$1703b
2o$1703b2o$863b2o$862bo2bo$862bo2bo$863b2o2$891b2o$890bo2bo$890bo2bo$
891b2o3$874b2o$873bo2bo$873bo2bo$874b2o2$674b2o226b2o$673bo2bo224bo2bo
$673bo2bo224bo2bo$674b2o226b2o3$885b2o$884bo2bo$884bo2bo$885b2o2$913b
2o$912bo2bo$912bo2bo748bo$913b2o749bo3$896b2o$895bo2bo760b2o$895bo2bo$
896b2o756bo$1655bo$696b2o226b2o729b2o9b2o$695bo2bo224bo2bo724bo5bo8b2o
$695bo2bo224bo2bo725bob4o$696b2o226b2o725bo3bo2bo$1649b2ob2ob2ob3o4b2o
$1648bobo2bob2ob3o3bo2bo$907b2o738bo5bo9bo2bo$906bo2bo738b2ob2o11b2o$
906bo2bo738b4o$907b2o745b2o$1654b2o$935b2o$934bo2bo$934bo2bo$935b2o3$
918b2o$917bo2bo$917bo2bo$918b2o2$718b2o226b2o701bo$717bo2bo224bo2bo
696b9o$717bo2bo224bo2bo696b2obo2b3o$718b2o226b2o700bo2bo$1649bobo$
1651bo$929b2o718bobo$928bo2bo716bo2bo$928bo2bo717b2o$929b2o718bo$1652b
o$957b2o694b5o$956bo2bo692bo3b2o$956bo2bo693b3o$957b2o694bo$1649b2o3bo
$1650b2ob2o$940b2o709bob2o$939bo2bo708b3o$939bo2bo$940b2o2$740b2o226b
2o$739bo2bo224bo2bo639bo$739bo2bo224bo2bo639bo$740b2o226b2o3$951b2o
652b2o$950bo2bo$950bo2bo646bo$951b2o648bo$1601b2o9b2o$979b2o616bo5bo8b
2o$978bo2bo616bob4o$978bo2bo615bo3bo2bo$979b2o614b2ob2ob2ob3o4b2o$
1594bobo2bob2ob3o3bo2bo$1593bo5bo9bo2bo$962b2o630b2ob2o11b2o$961bo2bo
629b4o$961bo2bo635b2o$962b2o636b2o2$762b2o226b2o$761bo2bo224bo2bo$761b
o2bo224bo2bo$762b2o226b2o3$973b2o$972bo2bo$972bo2bo$973b2o$1595bo$
1001b2o588b9o$1000bo2bo587b2obo2b3o$1000bo2bo590bo2bo$1001b2o592bobo$
1597bo$1595bobo$984b2o608bo2bo$983bo2bo608b2o$983bo2bo608bo$984b2o612b
o$1599b5o$784b2o226b2o584bo3b2o$783bo2bo224bo2bo584b3o$783bo2bo224bo2b
o584bo$784b2o226b2o581b2o3bo$1596b2ob2o$1597bob2o$995b2o600b3o$994bo2b
o$994bo2bo$995b2o2$1023b2o531bo$1022bo2bo530bo$1022bo2bo$1023b2o2$
1551b2o$1006b2o$1005bo2bo537bo$1005bo2bo538bo$1006b2o539b2o9b2o$1543bo
5bo8b2o$806b2o226b2o508bob4o$805bo2bo224bo2bo506bo3bo2bo$805bo2bo224bo
2bo504b2ob2ob2ob3o4b2o$806b2o226b2o504bobo2bob2ob3o3bo2bo$1539bo5bo9bo
2bo$1540b2ob2o11b2o$1017b2o521b4o$1016bo2bo526b2o$1016bo2bo526b2o$
1017b2o2$1045b2o$1044bo2bo$1044bo2bo$1045b2o$1247bo$1246b3o$1028b2o$
1027bo2bo$1027bo2bo$1028b2o511bo$1537b9o$828b2o226b2o479b2obo2b3o$827b
o2bo224bo2bo481bo2bo$827bo2bo224bo2bo482bobo$828b2o226b2o485bo$1541bob
o$1540bo2bo$1039b2o500b2o$1038bo2bo499bo$1038bo2bo502bo$1039b2o504b5o$
1544bo3b2o$1067b2o476b3o$1066bo2bo475bo$1066bo2bo471b2o3bo$1067b2o473b
2ob2o$1543bob2o$1543b3o$1050b2o$1049bo2bo$1049bo2bo103b2o$1050b2o103b
2o$1157bo344bo$850b2o226b2o422bo$849bo2bo224bo2bo$849bo2bo224bo2bo$
850b2o226b2o$1497b2o2$1061b2o429bo$1060bo2bo429bo$1060bo2bo429b2o9b2o$
1061b2o426bo5bo8b2o$1490bob4o$1089b2o398bo3bo2bo$1088bo2bo395b2ob2ob2o
b3o4b2o$1088bo2bo394bobo2bob2ob3o3bo2bo$1089b2o394bo5bo9bo2bo$1486b2ob
2o11b2o$1486b4o$1072b2o418b2o$1071bo2bo417b2o$1071bo2bo$1072b2o2$872b
2o226b2o$871bo2bo224bo2bo$871bo2bo224bo2bo$872b2o226b2o3$1083b2o$1082b
o2bo$1082bo2bo401bo$1083b2o398b9o$1483b2obo2b3o$1111b2o373bo2bo$1110bo
2bo373bobo$1110bo2bo375bo$1111b2o374bobo$1486bo2bo$1487b2o$1094b2o391b
o$1093bo2bo393bo$1093bo2bo394b5o$1094b2o394bo3b2o$1491b3o$894b2o226b2o
367bo$893bo2bo224bo2bo362b2o3bo$893bo2bo224bo2bo363b2ob2o$894b2o226b2o
365bob2o$1489b3o2$1105b2o$1104bo2bo$1104bo2bo$1105b2o341bo$1448bo$
1133b2o$1132bo2bo$1132bo2bo$1133b2o308b2o2$1438bo$1116b2o321bo$1115bo
2bo320b2o9b2o$1115bo2bo316bo5bo8b2o$1116b2o318bob4o$1435bo3bo2bo$916b
2o226b2o287b2ob2ob2ob3o4b2o$915bo2bo224bo2bo285bobo2bob2ob3o3bo2bo$
915bo2bo224bo2bo284bo5bo9bo2bo$916b2o226b2o286b2ob2o11b2o$1432b4o$
1438b2o$1127b2o309b2o$1126bo2bo$1126bo2bo$1127b2o2$1155b2o$1154bo2bo$
1154bo2bo$1155b2o3$1138b2o$1137bo2bo292bo$1137bo2bo288b9o$1138b2o289b
2obo2b3o$1432bo2bo$938b2o226b2o265bobo$937bo2bo224bo2bo266bo$937bo2bo
224bo2bo264bobo$938b2o226b2o264bo2bo$1433b2o$1433bo$1149b2o285bo$1148b
o2bo285b5o$1148bo2bo284bo3b2o$1149b2o286b3o$1437bo$1177b2o254b2o3bo$
1176bo2bo254b2ob2o$1176bo2bo255bob2o$1177b2o256b3o3$1160b2o$1159bo2bo$
1159bo2bo231bo$1160b2o232bo2$960b2o226b2o$959bo2bo224bo2bo$959bo2bo
224bo2bo198b2o$960b2o226b2o$1384bo$1385bo$1171b2o212b2o9b2o$1170bo2bo
207bo5bo8b2o$1170bo2bo208bob4o$1171b2o208bo3bo2bo$1258b2o119b2ob2ob2ob
3o4b2o$1199b2o56bo2bo117bobo2bob2ob3o3bo2bo$1198bo2bo55bo2bo116bo5bo9b
o2bo$1198bo2bo56b2o118b2ob2o11b2o$1199b2o177b4o$1384b2o$1384b2o$1182b
2o$1181bo2bo$1181bo2bo$1182b2o$1269b2o$982b2o226b2o56bo2bo$981bo2bo
224bo2bo55bo2bo$981bo2bo224bo2bo56b2o$982b2o226b2o2$1252b2o$1193b2o56b
o2bo2b3o119bo$1192bo2bo55bo2bo3bo116b9o$1192bo2bo56b2o4bo116b2obo2b3o$
1193b2o183bo2bo$1280b2o97bobo$1221b2o56bo2bo98bo$1220bo2bo55bo2bo96bob
o$1220bo2bo56b2o96bo2bo$1221b2o156b2o$1379bo$1263b2o117bo$1204b2o56bo
2bo117b5o$1203bo2bo27b2o26bo2bo116bo3b2o$1203bo2bo26bo2bo26b2o118b3o$
1204b2o28bo148bo$1379b2o3bo$1004b2o374b2ob2o$1003bo2bo230bo143bob2o$
1003bo2bo225b3o3bo63bo78b3o$1004b2o225bo2bo2bo62b4o$1232bo3b2o5bobo53b
2o2b2o4bo$1244bo8b3o18b2o22bo3bobo3b3o$1215b2o25b3o7bob2o17bo2bo22b2o
2b2o2bo$1214bo2bo24b2o9b3o17bo2bo23b2obo2b2o32bo$1214bo2bo36bo19b2o26b
o3b2o32bo$1215b2o29bobo8b2o36bo10b2obo$1245bo10b3o35bobo11bo$1245bo2bo
7b2o36bobo12bo$1245bo2bo7bo38bo39b2o$1243b2o2bo$1242bobo3bo81bo$1241bo
3bo2bo82bo$1242bo8b2o78b2o9b2o$1244bob2o3b2o74bo5bo8b2o$1328bob4o$
1310bo16bo3bo2bo$1309bobo13b2ob2ob2ob3o4b2o$1308bo2bo12bobo2bob2ob3o3b
o2bo$1026b2o276b2o2bobo12bo5bo9bo2bo$1025bo2bo275b2o3bo14b2ob2o11b2o$
1025bo2bo295b4o$1026b2o302b2o$1330b2o18$1048b2o$1047bo2bo$1047bo2bo$
1048b2o9$1291bo$1291bo4$1286b2o2$1281bo$1282bo$1282b2o9b2o$1070b2o206b
o5bo8b2o$1069bo2bo206bob4o$1069bo2bo205bo3bo2bo$1070b2o204b2ob2ob2ob3o
4b2o$1275bobo2bob2ob3o3bo2bo$1274bo5bo9bo2bo$1275b2ob2o11b2o$1275b4o$
1281b2o$1281b2o10$1251b2o$1250bo2bo$1250bo2bo22bo$1092b2o157b2o19b9o$
1091bo2bo177b2obo2b3o$1091bo2bo180bo2bo$1092b2o155b3o24bobo$1249b3o26b
o$1250bo25bobo$1275bo2bo$1276b2o$1276bo$1279bo$1280b5o$1279bo3b2o$
1280b3o$1280bo$1276b2o3bo$1277b2ob2o$1278bob2o$1278b3o5$1114b2o$1113bo
2bo$1113bo2bo$1114b2o8$1125b2o$1124bo2bo$1124bo2bo$1125b2o6$1263bo$
1261bo$1136b2o122bo4bo$1135bo2bo124bo$1135bo2bo126bo$1136b2o121bo2b3o$
1263b3o$1260b2o$1261b4o5$1147b2o$1146bo2bo$1146bo2bo$1147b2o8$1158b2o$
1157bo2bo$1157bo2bo$1158b2o7$1222b2o$1169b2o50bo2bo$1168bo2bo49bo2bo$
1168bo2bo50b2o$1169b2o6$1236b2o$1236b2o$1180b2o55bo$1179bo2bo53b2o$
1179bo2bo53b2o$1180b2o47b2o3bobo$1229b2o2b2o$1233bobo$1234bo5$1191b2o$
1190bo2bo$1190bo2bo$1191b2o28bo$1220bobo2$1220b3o5$1202b2o28bo4bobo$
1201bo2bo26bobo6bo$1201bo2bo25bo2bo2bo2bo$1202b2o27b3o3b3o$1238bo$
1238bo2$1228b3o$1228bobo$1227bo3b2o4b2o$1227b3ob2o4b2o$1227bo3b2o$
1227bob2o$1227b2o!

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

Post by BlinkerSpawn » September 2nd, 2017, 1:47 pm

muzik wrote:Is this one too big?

Code: Select all

very big 22c/1552 diagonal
Don't think so, unless some other rule miraculously has a natural reaction traveling at the same speed.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

Post by Hdjensofjfnen » September 2nd, 2017, 2:23 pm

BlinkerSpawn wrote:17 cells for 22c/52?

Code: Select all

x = 15, y = 7, rule = B34tw/S23
3o7b2o$10bo2bo$14bo$14bo$14bo$10bo2bo$3o7b2o!
Hey, I posted that.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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

Post by BlinkerSpawn » September 2nd, 2017, 6:33 pm

Hdjensofjfnen wrote:
BlinkerSpawn wrote:17 cells for 22c/52?

Code: Select all

x = 15, y = 7, rule = B34tw/S23
3o7b2o$10bo2bo$14bo$14bo$14bo$10bo2bo$3o7b2o!
Hey, I posted that.
In this thread? If so, apologies for not seeing it.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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

Post by Hdjensofjfnen » September 3rd, 2017, 6:07 pm

@BlinkerSpawn: No, in another thread.

Also, an 8c/56:

Code: Select all

x = 4, y = 3, rule = B3-n4kq/S237
2bo$b3o$2obo!
Last edited by Hdjensofjfnen on September 3rd, 2017, 9:09 pm, edited 2 times in total.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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

Post by AforAmpere » September 3rd, 2017, 7:06 pm

Period 10 ships have been added on the LifeWiki, can someone help add in the ships for p11-20 from the list? I will add in any that are not in the current downloadable file, if any exist.

EDIT: p11 added.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

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

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

Post by Hdjensofjfnen » September 3rd, 2017, 9:09 pm

c/6d:

Code: Select all

x = 6, y = 6, rule = B2ein3-ckq/S2-ce36
3bo$o$o4bo$b2o$2bo$3b2o!
EDIT: 2c/6o: (Perhaps some three cell one is known?)

Code: Select all

x = 4, y = 3, rule = B2ein3-ckq/S2-ce3
b2o$o2bo$2bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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

Post by AforAmpere » September 3rd, 2017, 9:11 pm

Look at the collection or the wiki, both have 3 cell examples.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

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

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

Post by Hdjensofjfnen » September 3rd, 2017, 9:24 pm

AforAmpere wrote:Look at the collection or the wiki, both have 3 cell examples.
I give up. :cry:

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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

Post by toroidalet » September 8th, 2017, 10:55 am

33 cell 16c/48

Code: Select all

x = 26, y = 15, rule = B3-y4y6ci/S2-i3-e
b2o$o2bo$bobo$2bo13bo$15bobo2$8b2o13b2o$7b2obo12bobo$8b2o13b2o2$15bobo
$2bo13bo$bobo$o2bo$b2o!
Any sufficiently advanced software is indistinguishable from malice.

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

Post by toroidalet » September 10th, 2017, 11:47 am

bump
4c/13 diagonal, 11 cells

Code: Select all

x = 5, y = 5, rule = B2e3-ek4k6i/S2-c3-kr4t
bobo$2obo2$2ob2o$3b2o!
Any sufficiently advanced software is indistinguishable from malice.

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

Post by muzik » September 11th, 2017, 6:37 pm


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

Post by AforAmpere » September 11th, 2017, 7:21 pm

An update, will have many more ships soon. If anyone could help with the wiki page, this could be faster.
Attachments
Orthogonal ships.txt
(102.07 KiB) Downloaded 176 times
Oblique ships.txt
(49.1 KiB) Downloaded 164 times
Diagonal ships.txt
(85.14 KiB) Downloaded 160 times
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

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

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

Post by Rhombic » September 16th, 2017, 11:59 am

4c/118

Code: Select all

x = 7, y = 7, rule = B2i3-jry4-jtw5aek6a/S2-ai3-jky4inqryz5anq6a
2b2o$2o2b2o$o4bo$2o4bo$bo4bo$b3obo$3b3o!
min pop 8
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by muzik » September 16th, 2017, 2:11 pm

23c/1679

Code: Select all

x = 24, y = 29, rule = B2i34cik7/S23-a4cikn7
19bo2b2o$17b7o$18b6o$18b2o5$18b3o$17bo2bo$17bo3bo$17b2o2b2o$19b3o$20bo
2$20bo$19b3o$17b2o2b2o$17bo3bo$17bo2bo$18b3o5$18b2o$3o15b6o$17b7o$19bo
2b2o!

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