ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

31c/240 caterpillar working notes

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: 31c/240 caterpillar working notes

Postby dvgrn » January 30th, 2014, 1:39 pm

codeholic wrote:Is it necessary, that all trails should be separated by the same distance? Would 90:58:90 also work the same way, for instance?

Yes. Each distance has to be a valid intra-block-pair distance, but they don't have to be the same as long as they're all [54..59]+31N -- we can design messy rephaser/rakes to run on pretty much any such spacing (I think -- haven't actually proved this for 90:90:90 yet, for example.)

To get a sample "messy RR" just take two trails off of any existing rephaser or rake. One side will still function just as it did before, but the side where you removed two trails will send out a backward glider stream. As long as something can catch these extra streams -- junk, forward gliders, whatever -- then we can do useful constructions with the output gliders on the other side. In particular, we could run a forerake and a backrake to set up another block trail N ticks away, on each side of the original four trails.

Now we have six trails. But the frame will have to switch: what used to be an intra-block-pair distance is now an inter-block-pair distance, and vice versa.

Next question: What if we start with just three trails, e.g., 90:90? We can _still_ run working rephaser/rakes on let's say the left side, but the right-hand lane will have extra blocks in it every time a Herschel climber goes by. That just means we have to get a single reversed lateral forward stream from somewhere lower down (or, less likely, somewhere higher up), to clean up those blocks before the next singleton Herschel climber comes along.

... No chance, I think. Those reflected forward streams are going to be more expensive to construct than the fourth block trail would be -- right?
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby codeholic » January 30th, 2014, 4:55 pm

Here you are. A front pattern producing 90:234:90:234:90 track set "parasitizing" on 27 spaceship salvos:
x = 1195, y = 3541, rule = B3/S23
1191b3o$1186b2o2bo2bo$1185bobo5bo$1187bo5bo$1190bobo11$1193bo$1192b3o$
1191b2obo$1191b3o$1192b2o4$1148b2o$1148b2o4$1165b3o$1165bo2bo$1165bo$
1165bo3bo$1165bo3bo$1165bo$1166bobo$1142bobo$1142b2o$1143bo22bo$1165b
3o$1165bob2o$1166b3o$1166b2o13$1148b2o$1148b2o13$1155bo$1154b3o$1153b
2obo$1153b3o$1153b3o$1153b3o$1154b2o11$1148b2o3b3o$1148b2o2bo2bo$1155b
o$1155bo$1152bobo36b3o$1190bo2bo$1193bo$1193bo$1190bobo11$1193bo$1192b
3o$1191b2obo$1191b3o$1192b2o8$1148b2o$1148b2o15b3o$1165bo2bo$1165bo$
1165bo3bo$1165bo3bo$1165bo$1166bobo3$1082bobo81bo$1082b2o81b3o$1083bo
81bob2o$1166b3o$1166b2o17$1148b2o$1148b2o9$1155bo$1154b3o$1153b2obo$
1153b3o$1153b3o$1153b3o$1154b2o11$1153b3o$1152bo2bo$1155bo$1155bo$
1148b2o2bobo36b3o$1148b2o40bo2bo$1193bo$1193bo$1190bobo11$1193bo$1192b
3o$1191b2obo$1191b3o$1192b2o9$1165b3o$1165bo2bo$1165bo$1148b2o15bo3bo$
1148b2o15bo3bo$1165bo$1166bobo3$1166bo$1165b3o$1022bobo140bob2o$1022b
2o142b3o$1023bo142b2o21$1148b2o$1148b2o5$1155bo$1154b3o$1153b2obo$
1153b3o$1153b3o$1153b3o$1154b2o11$1153b3o$1152bo2bo$1155bo$1155bo$
1152bobo36b3o$1190bo2bo$1193bo$1193bo$1148b2o40bobo$1148b2o10$1193bo$
1192b3o$1191b2obo$1191b3o$1192b2o9$1165b3o$1165bo2bo$1165bo$1165bo3bo$
1165bo3bo$1165bo$1166bobo$1148b2o$1148b2o$1166bo$1165b3o$1165bob2o$
1166b3o$962bobo201b2o$962b2o$963bo23$1148b2o$1148b2o$1155bo$1154b3o$
1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o11$1153b3o$1152bo2bo$1155bo$
1155bo$1152bobo36b3o$1190bo2bo$1193bo$1193bo$1190bobo$1134bo$1133bobo$
1133bobo$1134bo7$1193bo$1192b3o$1191b2obo$1191b3o$1192b2o4$1128bo$
1128bobo$1128b2o3$1165b3o$1165bo2bo$1165bo$1165bo3bo$1165bo3bo$1165bo$
1166bobo2$1134bo$1133bobo30bo$1133bobo29b3o$1134bo30bob2o$1166b3o$
1166b2o2$902bobo$902b2o$903bo245b3o$1148bo2bo$1151bo$1147bo3bo$1147bo
3bo$1151bo$1148bobo14$1145bo$1144b3o$1134bo9bob2o$1133bobo9b3o7bo$
1133bobo9b2o7b3o$1134bo18b2obo$1153b3o$1153b3o$1153b3o$1154b2o11$1153b
3o$1152bo2bo$1155bo$1155bo$1152bobo36b3o$1190bo2bo$1193bo$1193bo$1190b
obo5$1134bo$1133bobo$1133bobo$1134bo3$1193bo$1192b3o$1191b2obo$1191b3o
$1192b2o6$1068bo$1068bobo$1068b2o$1165b3o$1165bo2bo$1165bo$1165bo3bo$
1165bo3bo$1165bo$1166bobo3$1166bo$1165b3o$1165bob2o$1134bo31b3o$1133bo
bo30b2o$1133bobo$1134bo2$842bobo304b3o$842b2o304bo2bo$843bo307bo$1147b
o3bo$1147bo3bo$1151bo$1148bobo11$1126bo$1125bobo$1125bobo$1126bo18bo$
1144b3o$1144bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$1153b3o$
1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1134bo$1135bobo2$1153b3o$
1152bo2bo$1155bo$1155bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo
$1137b3o53bo$1126bo11b2o50bobo$1125bobo$1125bobo$1126bo8$1193bo$1192b
3o$1191b2obo$1191b3o$1192b2o8$1008bo$1008bobo154b3o$1008b2o155bo2bo$
1165bo$1165bo3bo$1165bo3bo$1114b2o49bo$1114b2o50bobo3$1166bo$1165b3o$
1165bob2o$1166b3o$1166b2o2$1121b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo
2bo$782bobo334bo3bo27bo$782b2o339bo23bo3bo$783bo336bobo24bo3bo$1151bo$
1148bobo3$1121b3o$1121bo2bo$1121bo$1121bo$1122bobo6$1114b2o$1114b2o29b
o$1144b3o$1144bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$1153b3o$
1083bo69b3o$1083bobo68b2o$1083b2o4$1134b3o$1134bo2bo$1134bo$1134bo$
1135bobo2$1153b3o$1152bo2bo$1155bo$1155bo$1139bo12bobo36b3o$1138b3o49b
o2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo2$1114b2o$1114b2o8$1193bo$
1192b3o$1191b2obo$1191b3o$1192b2o9$1165b3o$948bo216bo2bo$948bobo214bo$
948b2o215bo3bo$1165bo3bo$1165bo$1166bobo3$1114b2o50bo$1114b2o49b3o$
1165bob2o$1166b3o$1166b2o2$1121b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo
2bo$1119bo3bo27bo$1123bo23bo3bo$722bobo395bobo24bo3bo$722b2o427bo$723b
o424bobo3$1121b3o$1121bo2bo$1121bo$1121bo$1122bobo7$1145bo$1144b3o$
1144bob2o$1114b2o29b3o7bo$1114b2o29b2o7b3o$1153b2obo$1153b3o$1153b3o$
1153b3o$1154b2o$1023bo$1023bobo$1023b2o2$1134b3o$1134bo2bo$1134bo$
1134bo$1135bobo2$1153b3o$1152bo2bo$1155bo$1155bo$1139bo12bobo36b3o$
1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo6$1114b2o$1114b
2o4$1193bo$1192b3o$1191b2obo$1191b3o$1192b2o9$1165b3o$1165bo2bo$1165bo
$888bo276bo3bo$888bobo274bo3bo$888b2o275bo$1166bobo3$1166bo$1165b3o$
1165bob2o$1166b3o$1114b2o50b2o$1114b2o$1121b3o$1120bo2bo$1123bo25b3o$
1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$1120bobo24bo3bo$1151bo$
662bobo483bobo$662b2o$663bo$1121b3o$1121bo2bo$1121bo$1121bo$1122bobo7$
1145bo$1144b3o$1144bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$
1114b2o37b3o$1114b2o37b3o$1154b2o3$963bo$963bobo$963b2o169b3o$1134bo2b
o$1134bo$1134bo$1135bobo2$1153b3o$1152bo2bo$1155bo$1155bo$1139bo12bobo
36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo10$1114b2o
$1114b2o77bo$1192b3o$1191b2obo$1191b3o$1192b2o9$1165b3o$1165bo2bo$
1165bo$1165bo3bo$1165bo3bo$828bo336bo$828bobo335bobo$828b2o2$1166bo$
1165b3o$1165bob2o$1166b3o$1166b2o2$1121b3o$1120bo2bo$1114b2o7bo25b3o$
1114b2o3bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$1120bobo24bo3bo$1151b
o$1148bobo2$602bobo$602b2o517b3o$603bo517bo2bo$1121bo$1121bo$1122bobo
7$1145bo$1144b3o$1144bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$
1153b3o$1153b3o$1154b2o2$1114b2o$1114b2o2$903bo230b3o$903bobo228bo2bo$
903b2o229bo$1134bo$1135bobo2$1153b3o$1152bo2bo$1155bo$1155bo$1139bo12b
obo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo11$
1193bo$1192b3o$1191b2obo$1114b2o75b3o$1114b2o76b2o9$1165b3o$1165bo2bo$
1165bo$1165bo3bo$1165bo3bo$1165bo$1166bobo$768bo$768bobo$768b2o396bo$
1165b3o$1165bob2o$1166b3o$1166b2o2$1121b3o$1120bo2bo$1123bo25b3o$1119b
o3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$1114b2o4bobo24bo3bo$1114b2o35b
o$1148bobo3$1121b3o$542bobo576bo2bo$542b2o577bo$543bo577bo$1122bobo7$
1145bo$1144b3o$1144bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$
1153b3o$1153b3o$1154b2o5$1134b3o$1114b2o18bo2bo$843bo270b2o18bo$843bob
o288bo$843b2o290bobo2$1153b3o$1152bo2bo$1155bo$1155bo$1139bo12bobo36b
3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo11$1193bo$
1192b3o$1191b2obo$1191b3o$1100bo14b3o74b2o$1099bobo12bo2bo$1099bobo15b
o$1100bo12bo3bo$1113bo3bo$1117bo$1114bobo3$1165b3o$1165bo2bo$1165bo$
1165bo3bo$1165bo3bo$1165bo$1166bobo3$708bo457bo$708bobo454b3o$708b2o
401bo53bob2o$1110b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo
$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$1120bobo24bo
3bo$1100bo50bo$1099bobo46bobo$1099bobo$1100bo$1121b3o$1121bo2bo$1121bo
$482bobo589bo46bo$482b2o590bobo45bobo$483bo590b2o6$1145bo$1144b3o$
1144bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$
1154b2o5$1134b3o$1134bo2bo$1100bo33bo$1099bobo32bo$783bo315bobo33bobo$
783bobo314bo$783b2o368b3o$1152bo2bo$1155bo$1155bo$1139bo12bobo36b3o$
1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo11$1193bo$1192b
3o$1191b2obo$1191b3o$1115b3o74b2o$1114bo2bo$1117bo$1113bo3bo$1100bo12b
o3bo$1099bobo15bo$1099bobo12bobo$1100bo2$1165b3o$1165bo2bo$1165bo$
1165bo3bo$1165bo3bo$1165bo$1166bobo3$1166bo$1165b3o$648bo462bo53bob2o$
648bobo459b3o53b3o$648b2o460bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$
1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$1120bobo24bo
3bo$1100bo50bo$1099b2o47bobo$1098b4o$1097bo$1096b2o2bob2o17b3o$1095b2o
3bob2o17bo2bo$1096b2o2bobo18bo$1097bo23bo$1098b2o2bo19bobo$422bobo589b
o83b5o$422b2o590bobo82b3o$423bo590b2o2$1105bo$1104b3o$1103b2obo38bo$
1103b3o38b3o$1104b2o38bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$
1153b3o$1153b3o$1154b2o2$1092bo$1091bobo$1091bobo$1092bo41b3o$1134bo2b
o$1134bo$1134bo$1135bobo2$723bo429b3o$723bobo426bo2bo$723b2o430bo$
1155bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$
1138b2o50bobo11$1193bo$1192b3o$1091bo99b2obo$1090b2o99b3o$1087b3o25b3o
74b2o$1086bo2bo24bo2bo$1086bobo28bo$1087bo25bo3bo$1113bo3bo$1117bo$
1114bobo3$1087b3o75b3o$1087bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1088b
obo74bo3bo$1165bo$1166bobo3$1166bo$1165b3o$1111bo53bob2o$1110b3o53b3o$
588bo521bob2o52b2o$588bobo520b3o$588b2o521b2o8b3o$1120bo2bo$1123bo25b
3o$1119bo3bo24bo2bo$1080b2o37bo3bo27bo$1080b2o41bo23bo3bo$1120bobo24bo
3bo$1151bo$1148bobo2$1100b3o$1100bo2bo17b3o$1100bo20bo2bo$1100bo20bo$
1101bobo17bo$1122bobo3$362bobo589bo$362b2o590bobo$363bo590b2o149bo$
1104b3o$1103b2obo38bo$1103b3o38b3o$1104b2o38bob2o$1145b3o7bo$1145b2o7b
3o$1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o4$1080b2o$1080b2o52b3o$
1134bo2bo$1134bo$1134bo$1135bobo2$1153b3o$1152bo2bo$663bo491bo$663bobo
489bo$663b2o474bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$
1138b2o50bobo11$1193bo$1192b3o$1087b3o101b2obo$1029bo56bo2bo101b3o$
1029bobo57bo25b3o74b2o$1029b2o49b2o3bo3bo24bo2bo$1080b2o3bo3bo27bo$
1089bo23bo3bo$1086bobo24bo3bo$1117bo$1114bobo3$1087b3o75b3o$1087bo2bo
74bo2bo$1087bo77bo$1087bo77bo3bo$1088bobo74bo3bo$1165bo$1166bobo3$
1166bo$1165b3o$1111bo53bob2o$1110b3o53b3o$1110bob2o52b2o$1111b3o$528bo
582b2o8b3o$528bobo589bo2bo$528b2o593bo25b3o$1119bo3bo24bo2bo$1119bo3bo
27bo$1123bo23bo3bo$1120bobo24bo3bo$1151bo$1080b2o66bobo$1080b2o$1100b
3o$1100bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$1122bobo5$302b
obo589bo210bo$302b2o590bobo207b3o$303bo590b2o207b2obo38bo$1103b3o38b3o
$1104b2o38bob2o$1145b3o7bo$1145b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b
3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1080b2o52bo$1080b2o53bobo2$1153b
3o$1152bo2bo$1155bo$1155bo$603bo535bo12bobo36b3o$603bobo532b3o49bo2bo$
603b2o532b2obo52bo$1137b3o53bo$1138b2o50bobo11$1193bo$1192b3o$1087b3o
101b2obo$1086bo2bo101b3o$1089bo25b3o74b2o$969bo115bo3bo24bo2bo$969bobo
113bo3bo27bo$969b2o118bo23bo3bo$1086bobo24bo3bo$1080b2o35bo$1080b2o32b
obo3$1087b3o75b3o$1087bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1088bobo
74bo3bo$1165bo$1166bobo3$1166bo$1165b3o$1111bo53bob2o$1110b3o53b3o$
1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$468bo654bo25b3o$468bobo
648bo3bo24bo2bo$468b2o649bo3bo27bo$1123bo23bo3bo$1120bobo24bo3bo$1151b
o$1148bobo2$1100b3o$1100bo2bo17b3o$1080b2o18bo20bo2bo$1080b2o18bo20bo$
1101bobo17bo$1122bobo5$1105bo$1104b3o$242bobo589bo268b2obo38bo$242b2o
590bobo266b3o38b3o$243bo590b2o268b2o38bob2o$1145b3o7bo$1145b2o7b3o$
1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$
1134bo$1135bobo2$1153b3o$1080b2o70bo2bo$1080b2o73bo$1155bo$1139bo12bob
o36b3o$1138b3o49bo2bo$543bo593b2obo52bo$543bobo591b3o53bo$543b2o593b2o
50bobo11$1193bo$1192b3o$1087b3o101b2obo$1086bo2bo101b3o$1089bo25b3o74b
2o$1085bo3bo24bo2bo$1085bo3bo27bo$909bo179bo23bo3bo$909bobo174bobo24bo
3bo$909b2o206bo$1114bobo3$1080b2o5b3o75b3o$1080b2o5bo2bo74bo2bo$1087bo
77bo$1087bo77bo3bo$1088bobo74bo3bo$1165bo$1166bobo3$1166bo$1165b3o$
1111bo53bob2o$1110b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2b
o$1123bo25b3o$1119bo3bo24bo2bo$408bo710bo3bo27bo$408bobo712bo23bo3bo$
408b2o710bobo24bo3bo$1151bo$1148bobo2$1100b3o$1100bo2bo17b3o$1100bo20b
o2bo$1100bo20bo$1101bobo17bo$1122bobo$1080b2o$1080b2o3$1105bo$1104b3o$
1103b2obo38bo$1103b3o38b3o$182bobo589bo329b2o38bob2o$182b2o590bobo368b
3o7bo$183bo590b2o369b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o
5$1134b3o$1134bo2bo$1134bo$1134bo$1135bobo2$1153b3o$1152bo2bo$1155bo$
1155bo$1139bo12bobo36b3o$1080b2o56b3o49bo2bo$1080b2o55b2obo52bo$1137b
3o53bo$483bo654b2o50bobo$483bobo$483b2o9$1193bo$1192b3o$1087b3o101b2ob
o$1086bo2bo101b3o$1089bo25b3o74b2o$1085bo3bo24bo2bo$1085bo3bo27bo$
1089bo23bo3bo$1086bobo24bo3bo$849bo267bo$849bobo262bobo$849b2o2$1087b
3o75b3o$1087bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1080b2o6bobo74bo3bo$
1080b2o83bo$1166bobo3$1166bo$1165b3o$1111bo53bob2o$1110b3o53b3o$1110bo
b2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$
1119bo3bo27bo$1123bo23bo3bo$348bo771bobo24bo3bo$348bobo800bo$348b2o
798bobo2$1100b3o$1100bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$
1122bobo5$1080b2o23bo$1080b2o22b3o$1103b2obo38bo$1103b3o38b3o$1104b2o
38bob2o$1145b3o7bo$122bobo589bo430b2o7b3o$122b2o590bobo436b2obo$123bo
590b2o437b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1134bo$
1135bobo2$1153b3o$1152bo2bo$1155bo$1155bo$1139bo12bobo36b3o$1138b3o49b
o2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo2$423bo$423bobo$423b2o$
1072bo5b2o$1071bobo3b3o$1072bo4bob2o$1071bobo3b2ob3o$1072b2o3bob2o$
1072bo5bo$1193bo$1192b3o$1087b3o101b2obo$1086bo2bo101b3o$1089bo25b3o
74b2o$1085bo3bo24bo2bo$1085bo3bo27bo$1089bo23bo3bo$1086bobo24bo3bo$
1117bo$1114bobo$789bo$789bobo$789b2o296b3o75b3o$1087bo2bo74bo2bo$1087b
o77bo$1087bo77bo3bo$1088bobo74bo3bo$1066bo98bo$1065bobo98bobo$1065bobo
$1066bo$1166bo$1165b3o$1111bo53bob2o$1110b3o53b3o$1110bob2o52b2o$1111b
3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$
1123bo23bo3bo$1120bobo24bo3bo$1151bo$288bo859bobo$288bobo$288b2o810b3o
$1100bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$1122bobo5$1105bo
$1066bo37b3o$1065bobo35b2obo38bo$1065bobo35b3o38b3o$1066bo37b2o38bob2o
$1145b3o7bo$1145b2o7b3o$1153b2obo$62bobo589bo498b3o$62b2o590bobo496b3o
$63bo590b2o497b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo
2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo$1080bobo
72bo$1139bo12bobo36b3o$1138b3o49bo2bo$1020bo116b2obo52bo$1020bobo114b
3o53bo$1020b2o116b2o50bobo2$1066bo$1065bobo$363bo701bobo$363bobo700bo$
363b2o3$1077bo$1076b3o$1076bob2o113bo$1077b3o112b3o$1077b2o8b3o101b2ob
o$1086bo2bo101b3o$1089bo25b3o74b2o$1085bo3bo24bo2bo$1085bo3bo27bo$
1089bo23bo3bo$1086bobo24bo3bo$1117bo$1114bobo3$729bo357b3o75b3o$729bob
o355bo2bo74bo2bo$729b2o356bo77bo$1087bo77bo3bo$1088bobo74bo3bo$1165bo$
1166bobo3$14b2o1050bo99bo$13bo2bo1048bobo97b3o$14b2o1049bobo43bo53bob
2o$1066bo43b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123b
o25b3o$8bo1110bo3bo24bo2bo$6b2obo1109bo3bo27bo$6bo3bo1112bo23bo3bo$6b
2o2b2obo1106bobo24bo3bo$6b2ob3o2bo1136bo$4b2obo2b2o1136bobo$2o5b3o$ob
2o2bo221bo871b3o$bobo2bo221bobo869bo2bo17b3o$24b4o200b2o870bo20bo2bo$
23b6o1071bo20bo$23b4ob2o1071bobo17bo$27b2o1093bobo5$1105bo$1104b3o$15b
3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob2o$15bo1050bo78b3o
7bo$16bobo1046bobo77b2o7b3o$1065bobo85b2obo$1066bo86b3o$1153b3o$594bo
558b3o$594bobo557b2o$594b2o4$2bo1131b3o$2bo1131bo2bo$2bo1131bo$1081b3o
50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b3o$144b4o931bo3bo68bo2bo$143b
6o934bo71bo$143b4ob2o930bobo72bo$147b2o990bo12bobo36b3o$1138b3o49bo2bo
$1137b2obo52bo$1137b3o53bo$960bo177b2o50bobo$960bobo$960b2o4$303bo762b
o$303bobo759bobo$303b2o760bobo$1066bo10bo$1076b3o$1076bob2o113bo$1077b
3o112b3o$1077b2o8b3o101b2obo$1086bo2bo101b3o$1089bo25b3o74b2o$1085bo3b
o24bo2bo$2bo1082bo3bo27bo$2bo1086bo23bo3bo$2bo10bo1072bobo24bo3bo$12b
3o1102bo$12bob2o1098bobo$13b3o$13b3o184b2o$13b3o184b2o62b4o819b3o75b3o
$13b2o248b6o818bo2bo74bo2bo$263b4ob2o399bo417bo77bo$267b2o400bobo415bo
77bo3bo$669b2o417bobo74bo3bo$1165bo$1166bobo3$1166bo$1165b3o$1111bo53b
ob2o$1110b3o53b3o$1066bo43bob2o52b2o$1065bobo43b3o$1065bobo43b2o8b3o$
1066bo53bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo
$13b3o1104bobo24bo3bo$13bo2bo1134bo$13bo1134bobo$2bo10bo$2bo11bobo
1083b3o$2bo1097bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$200b2o
88b2o830bobo$200b2o88b2o92b4o$383b6o$383b4ob2o$387b2o$1105bo$1104b3o$
15b3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o
7bo$16bobo1126b2o7b3o$1153b2obo$1153b3o$1066bo86b3o$1065bobo85b3o$
1065bobo86b2o$534bo531bo$534bobo$534b2o2$1134b3o$1134bo2bo$1134bo$
1081b3o50bo$2bo1077bo2bo51bobo$2bo1080bo$2bo1076bo3bo69b3o$1079bo3bo
68bo2bo$1083bo71bo$1080bobo72bo$200b2o88b2o847bo12bobo36b3o$200b2o88b
2o212b4o630b3o49bo2bo$503b6o628b2obo52bo$503b4ob2o627b3o53bo$507b2o
629b2o50bobo2$900bo$900bobo$900b2o5$1077bo$1066bo9b3o$1065bobo8bob2o
113bo$1065bobo9b3o112b3o$1066bo10b2o8b3o101b2obo$1086bo2bo101b3o$1089b
o25b3o74b2o$1085bo3bo24bo2bo$1085bo3bo27bo$1089bo23bo3bo$13bo1072bobo
24bo3bo$12b3o1102bo$2bo9bob2o1098bobo$2bo10b3o$2bo10b3o$13b3o1071b3o
75b3o$13b2o1072bo2bo74bo2bo$1087bo77bo$200b2o88b2o232b2o88b2o471bo77bo
3bo$200b2o88b2o232b2o88b2o8b4o460bobo74bo3bo$623b6o536bo$623b4ob2o536b
obo$627b2o2$1166bo$1165b3o$1111bo53bob2o$1110b3o53b3o$1110bob2o52b2o$
1111b3o$1111b2o8b3o$1120bo2bo$1066bo56bo25b3o$1065bobo51bo3bo24bo2bo$
1065bobo51bo3bo27bo$1066bo56bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo
1134bo$13bo1134bobo$13bo$14bobo1083b3o$1100bo2bo17b3o$1100bo20bo2bo$2b
o1097bo20bo$2bo1098bobo17bo$2bo1119bobo4$200b2o88b2o232b2o88b2o$200b2o
88b2o232b2o88b2o128b4o357bo$743b6o355b3o$15b3o725b4ob2o353b2obo38bo$
15bo2bo728b2o354b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b
2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o2$1066bo$1065bobo$
1065bobo$1066bo67b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$
1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$2bo1080bo71bo$2bo1077bobo72bo$
2bo1136bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$200b2o
88b2o232b2o88b2o232b2o288b2o50bobo$200b2o88b2o232b2o88b2o232b2o14b4o$
863b6o$863b4ob2o$867b2o5$1077bo$1076b3o$1076bob2o113bo$1077b3o112b3o$
1077b2o8b3o101b2obo$1066bo19bo2bo101b3o$1065bobo21bo25b3o74b2o$1065bob
o17bo3bo24bo2bo$1066bo18bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$
12b3o1102bo$12bob2o1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$2bo10b2o
1072bo2bo74bo2bo$2bo1084bo77bo$2bo1084bo77bo3bo$1088bobo74bo3bo$1165bo
$1166bobo$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o232b2o88b2o232b
2o88b2o$1166bo$979b2o184b3o$979bobo129bo53bob2o$979bo130b3o53b3o$1110b
ob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$
1119bo3bo27bo$1123bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo1134bo$13bo
1134bobo$13bo$14bobo1042bo2b3o35b3o$1058bobo39bo2bo17b3o$1058bobo39bo
20bo2bo$1100bo20bo$1101bobo17bo$1122bobo2$2bo$2bo$2bo$1105bo$1104b3o$
15b3o1085b2obo38bo$15bo2bo181b2o88b2o232b2o88b2o232b2o88b2o163b3o38b3o
$15bo184b2o88b2o232b2o88b2o232b2o88b2o99b2o63b2o38bob2o$15bo1023bobo
103b3o7bo$16bobo1020bo105b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$
1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$1083bo$
1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo$1080bobo72bo$1139bo12bobo
36b3o$1138b3o49bo2bo$2bo1134b2obo52bo$2bo1134b3o53bo$2bo1135b2o50bobo
4$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o232b2o88b2o232b2o88b2o
4$1077bo$1076b3o$1066b3o7bob2o113bo$1066bo2bo7b3o112b3o$1066bo10b2o8b
3o101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$1066bo18bo3b
o24bo2bo$1067bobo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o
1102bo$12bob2o1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$13b2o1072bo2bo74b
o2bo$1087bo77bo$1087bo77bo3bo$1069b3o16bobo74bo3bo$2bo1065bo2bo93bo$2b
o1068bo94bobo$2bo1064bo3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bob
o94b3o$200b2o88b2o232b2o88b2o232b2o88b2o115bo55bo53bob2o$200b2o88b2o
232b2o88b2o232b2o88b2o116bobo51b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o
8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3b
o$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo1040b3o91bobo$13bo1040bob
2o$14bobo1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$
1101bobo17bo$1122bobo5$1105bo$2bo1101b3o$2bo12b3o1085b2obo38bo$2bo12bo
2bo1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$
200b2o88b2o232b2o88b2o232b2o88b2o213b2obo$200b2o88b2o232b2o88b2o232b2o
88b2o213b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o
50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo
$1080bobo72bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o
53bo$1138b2o50bobo2$2bo$2bo$2bo4$200b2o88b2o232b2o88b2o232b2o88b2o$
200b2o88b2o232b2o88b2o232b2o88b2o137bo$1076b3o$1066b3o7bob2o113bo$
1066bo2bo7b3o112b3o$1066bo10b2o8b3o101b2obo$1066bo3bo15bo2bo101b3o$
1066bo3bo18bo25b3o74b2o$1066bo18bo3bo24bo2bo$1067bobo15bo3bo27bo$1089b
o23bo3bo$13bo1072bobo24bo3bo$12b3o1102bo$12bob2o1098bobo$13b3o$13b3o$
13b3o1071b3o75b3o$13b2o1072bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1069b
3o16bobo74bo3bo$1068bo2bo93bo$1071bo94bobo$1067bo3bo$1055b3o9bo3bo$2bo
1052bo2bo12bo94bo$2bo1052bo12bobo94b3o$2bo1052bo55bo53bob2o$1056bobo
51b3o53b3o$1110bob2o52b2o$1111b3o$200b2o88b2o232b2o88b2o232b2o88b2o
171b2o8b3o$200b2o88b2o232b2o88b2o232b2o88b2o180bo2bo$1123bo25b3o$1119b
o3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo
1038bo95bo$13bo1040b3o91bobo$13bo1040bob2o$14bobo1038b3o42b3o$1055b2o
43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$1122bobo5$1105bo$
1104b3o$15b3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob2o$2bo
12bo1129b3o7bo$2bo13bobo1126b2o7b3o$2bo1150b2obo$1153b3o$1153b3o$1153b
3o$200b2o88b2o232b2o88b2o232b2o88b2o214b2o$200b2o88b2o232b2o88b2o232b
2o88b2o4$1134b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$1083bo$
1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo$1080bobo72bo$1139bo12bobo
36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo6$2bo$2bo$
2bo$1077bo$1076b3o$1066b3o7bob2o113bo$200b2o88b2o232b2o88b2o232b2o88b
2o126bo2bo7b3o112b3o$200b2o88b2o232b2o88b2o232b2o88b2o126bo10b2o8b3o
101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$1066bo18bo3bo
24bo2bo$1067bobo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o
1102bo$12bob2o1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$13b2o1072bo2bo74b
o2bo$1087bo77bo$1087bo77bo3bo$1069b3o16bobo74bo3bo$1068bo2bo93bo$1071b
o94bobo$1067bo3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b3o$
1055bo55bo53bob2o$1056bobo51b3o53b3o$2bo1107bob2o52b2o$2bo1108b3o$2bo
1108b2o8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$200b2o88b2o232b2o
88b2o232b2o88b2o179bo3bo27bo$200b2o88b2o232b2o88b2o232b2o88b2o183bo23b
o3bo$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo1040b3o91bobo$13bo
1040bob2o$14bobo1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo$1100bo
20bo$1101bobo17bo$1122bobo5$1105bo$1104b3o$15b3o1085b2obo38bo$15bo2bo
1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$1153b
2obo$1153b3o$2bo1150b3o$2bo1150b3o$2bo1151b2o4$200b2o88b2o232b2o88b2o
232b2o88b2o$200b2o88b2o232b2o88b2o232b2o88b2o194b3o$1134bo2bo$1134bo$
1081b3o50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$
1083bo71bo$1080bobo72bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo
$1137b3o53bo$1138b2o50bobo6$207b3o$206bo3bo$205bo$1077bo$2bo202bo3b2o
865b3o$2bo203b3o857b3o7bob2o113bo$2bo1063bo2bo7b3o112b3o$1066bo10b2o8b
3o101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$290b2o232b2o
88b2o232b2o88b2o126bo18bo3bo24bo2bo$290b2o232b2o88b2o232b2o88b2o127bob
o15bo3bo27bo$1089bo23bo3bo$13bo184b2o886bobo24bo3bo$12b3o183b2o8b2o
907bo$12bob2o192b2o904bobo$13b3o$13b3o$13b3o181bo889b3o75b3o$13b2o181b
3o888bo2bo74bo2bo$195b2ob2o887bo77bo$200bo886bo77bo3bo$193b2obo4bo733b
o133b3o16bobo74bo3bo$194bobo4bo732bobo131bo2bo93bo$195bo4bo732b2ob2o
133bo94bobo$934bob2o129bo3bo$931b2o2b3o117b3o9bo3bo$936bo118bo2bo12bo
94bo$935bo119bo12bobo94b3o$934b2o119bo55bo53bob2o$939b2o115bobo51b3o
53b3o$939b2o169bob2o52b2o$200b2o736b2o171b3o$200b2o736bo172b2o8b3o$
1120bo2bo$2bo1120bo25b3o$2bo853bo72bo189bo3bo24bo2bo$2bo852b3o71bobo
187bo3bo27bo$854b2obo71b2o192bo23bo3bo$13b3o841b2o261bobo24bo3bo$13bo
2bo268bo571b2o196bo95bo$13bo271bo238b2o88b2o241b2o195b3o91bobo$13bo
271bo238b2o88b2o238bo199bob2o$14bobo837b2o199b3o42b3o$282bobo7b2o552b
2o7bobo197b2o43bo2bo17b3o$208b2o71bo2bo2bo4b2o552b2o7bo2bo71b2o168bo
20bo2bo$208b2o72bobo3b2o566b2o72b2o168bo20bo$287b2o812bobo17bo$1122bob
o3$846bo$844b2o$844b2o259bo$1104b3o$15b3o276b2o550bo256b2obo38bo$15bo
2bo275b2o548b2o257b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo
1126b2o7b3o$1153b2obo$1153b3o$1153b3o$200b2o88b2o556b2o88b2o213b3o$
146bo53b2o88b2o556b2o88b2o214b2o$144b2o$2bo142b2o$2bo$2bo$1134b3o$
1134bo2bo$614bo519bo$524b2o87b4o464b3o50bo$524b2o82bo7bo463bo2bo51bobo
$607bo3bo3b3o465bo$607b5o3b4o460bo3bo69b3o$208b2o72b2o235bo4bo83bo6bo
3bo236b2o72b2o147bo3bo68bo2bo$208b2o72b2o233bo2bo2bobo3bo78b3o2bobo
240b2o72b2o151bo71bo$516bo3bob2obo2bob2o79bobobob2o461bobo72bo$516bo2b
o3b2o2b2ob2o80bo3bo522bo12bobo36b3o$528bo3bo605b3o49bo2bo$528b5ob4o
599b2obo52bo$514b2o16b2o3bo3b3o53b3o537b3o53bo$513bo2b2o10bobobo2b2o
61bo539b2o50bobo$146b3o363b3o3bo8bo5bo64bo$146bo189bo176bo4b2o7bo2b2ob
2o62b3o$147bo189bo176b3obob2o6bo4b2o83b2o$335b3o179b2ob2o8bo2bo84bo2bo
2bo$517b2ob2o8b3o87bo3bo$263bo254b2o11bo88b4o$261bobo241bobo115bo$262b
2o241b2o116bo173bo$506bo115bo173bo280bo$621b2o173b3o277b3o$200b2o88b2o
232b2o88b2o232b2o88b2o126b3o7bob2o113bo$200b2o88b2o232b2o88b2o232b2o
88b2o126bo2bo7b3o112b3o$638bobo425bo10b2o8b3o101b2obo$2bo636b2o425bo3b
o15bo2bo101b3o$2bo636bo426bo3bo18bo25b3o74b2o$2bo1063bo18bo3bo24bo2bo$
1067bobo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o1102bo$12bo
b2o1098bobo$13b3o$13b3o$13b3o192b2o72b2o248b2o72b2o248b2o72b2o5b3o147b
3o75b3o$13b2o193b2o72b2o248b2o72b2o248b2o72b2o7bo147bo2bo74bo2bo$938bo
148bo77bo$239bo847bo77bo3bo$237b2o830b3o16bobo74bo3bo$238b2o828bo2bo
93bo$206b3o862bo94bobo$206bo343bo516bo3bo$207bo343bo503b3o9bo3bo$549b
3o354bo148bo2bo12bo94bo$907b2o146bo12bobo94b3o$906b2o147bo55bo53bob2o$
1056bobo51b3o53b3o$583bo526bob2o52b2o$582bo528b3o$582b3o526b2o8b3o$
1120bo2bo$1123bo25b3o$200b2o88b2o232b2o88b2o232b2o88b2o179bo3bo24bo2bo
$200b2o88b2o232b2o88b2o232b2o88b2o179bo3bo27bo$869bo253bo23bo3bo$2bo
10b3o853bobo248bobo24bo3bo$2bo10bo2bo852b2o184bo95bo$2bo10bo1040b3o91b
obo$13bo1040bob2o$14bobo1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo
$1100bo20bo$877b3o221bobo17bo$879bo242bobo$208b2o322b2o72b2o248b2o20bo
51b2o$208b2o322b2o72b2o248b2o72b2o3$266b3o836bo$266bo837b3o$15b3o249bo
835b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16b
obo1126b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o3$200b2o88b2o
232b2o88b2o232b2o88b2o$200b2o88b2o232b2o88b2o232b2o88b2o$1134b3o$2bo
1131bo2bo$2bo1131bo$2bo1078b3o50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b
3o$817b3o259bo3bo68bo2bo$819bo263bo71bo$818bo261bobo72bo$1139bo12bobo
36b3o$532b2o72b2o530b3o49bo2bo$532b2o72b2o529b2obo52bo$326b3o808b3o53b
o$326bo811b2o50bobo$327bo3$396bo$397bo$395b3o3$445bobo629bo$445b2o290b
o338b3o$446bo289bo329b3o7bob2o113bo$736b3o327bo2bo7b3o112b3o$1066bo10b
2o8b3o101b2obo$1066bo3bo15bo2bo101b3o$200b2o88b2o232b2o88b2o82bobo147b
2o88b2o126bo3bo18bo25b3o74b2o$200b2o88b2o232b2o88b2o83b2o147b2o88b2o
126bo18bo3bo24bo2bo$699bo367bobo15bo3bo27bo$2bo1086bo23bo3bo$2bo10bo
1072bobo24bo3bo$2bo9b3o1102bo$12bob2o1098bobo$13b3o741b3o$13b3o743bo$
13b3o742bo328b3o75b3o$13b2o1072bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$
386b3o680b3o16bobo74bo3bo$386bo681bo2bo93bo$387bo683bo94bobo$1067bo3bo
$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b3o$1055bo55bo53bob2o$
1056bobo51b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123bo
25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$13b3o1104bobo24bo3b
o$13bo2bo183b2o88b2o232b2o88b2o232b2o88b2o115bo95bo$13bo186b2o88b2o
232b2o88b2o232b2o88b2o114b3o91bobo$13bo1040bob2o$2bo11bobo1038b3o42b3o
$2bo1052b2o43bo2bo17b3o$2bo1097bo20bo2bo$1100bo20bo$1101bobo17bo$1122b
obo5$1105bo$1104b3o$15b3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o
38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$1153b2obo$1153b3o$1153b3o$
1153b3o$1154b2o5$1134b3o$1134bo2bo$200b2o88b2o232b2o88b2o232b2o88b2o
194bo$200b2o88b2o232b2o88b2o232b2o88b2o141b3o50bo$1080bo2bo51bobo$2bo
1080bo$2bo1076bo3bo69b3o$2bo1076bo3bo68bo2bo$1083bo71bo$1080bobo72bo$
1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bo
bo9$1077bo$1076b3o$1066b3o7bob2o113bo$1066bo2bo7b3o112b3o$1066bo10b2o
8b3o101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$1066bo18bo
3bo24bo2bo$1067bobo15bo3bo27bo$1089bo23bo3bo$13bo186b2o88b2o232b2o88b
2o232b2o88b2o146bobo24bo3bo$12b3o185b2o88b2o232b2o88b2o232b2o88b2o177b
o$12bob2o1098bobo$2bo10b3o$2bo10b3o$2bo10b3o1071b3o75b3o$13b2o1072bo2b
o74bo2bo$1087bo77bo$1087bo77bo3bo$1069b3o16bobo74bo3bo$1068bo2bo93bo$
1071bo94bobo$1067bo3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b
3o$1055bo55bo53bob2o$1056bobo51b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o
8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3b
o$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo1040b3o91bobo$13bo1040bob
2o$14bobo1038b3o42b3o$200b2o88b2o232b2o88b2o232b2o88b2o115b2o43bo2bo
17b3o$200b2o88b2o232b2o88b2o232b2o88b2o160bo20bo2bo$1100bo20bo$2bo
1098bobo17bo$2bo1119bobo$2bo4$1105bo$1104b3o$15b3o1085b2obo38bo$15bo2b
o1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$
1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$
1081b3o50bo$1080bo2bo51bobo$1083bo$200b2o88b2o232b2o88b2o232b2o88b2o
139bo3bo69b3o$200b2o88b2o232b2o88b2o232b2o88b2o139bo3bo68bo2bo$1083bo
71bo$2bo1077bobo72bo$2bo1136bo12bobo36b3o$2bo1135b3o49bo2bo$1137b2obo
52bo$1137b3o53bo$1138b2o50bobo9$1077bo$1076b3o$1066b3o7bob2o113bo$
1066bo2bo7b3o112b3o$1066bo10b2o8b3o101b2obo$1066bo3bo15bo2bo101b3o$
1066bo3bo18bo25b3o74b2o$1066bo18bo3bo24bo2bo$1067bobo15bo3bo27bo$1089b
o23bo3bo$13bo1072bobo24bo3bo$12b3o1102bo$12bob2o1098bobo$13b3o$13b3o
184b2o88b2o232b2o88b2o232b2o88b2o$13b3o184b2o88b2o232b2o88b2o232b2o88b
2o147b3o75b3o$13b2o1072bo2bo74bo2bo$2bo1084bo77bo$2bo1084bo77bo3bo$2bo
1066b3o16bobo74bo3bo$1068bo2bo93bo$1071bo94bobo$1067bo3bo$1055b3o9bo3b
o$1055bo2bo12bo94bo$1055bo12bobo94b3o$1055bo55bo53bob2o$1056bobo51b3o
53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119bo
3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo
1038bo95bo$13bo1040b3o91bobo$13bo1040bob2o$14bobo1038b3o42b3o$1055b2o
43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$200b2o88b2o232b2o
88b2o232b2o88b2o182bobo$200b2o88b2o232b2o88b2o232b2o88b2o2$2bo$2bo$2bo
1102bo$1104b3o$15b3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob
2o$15bo1129b3o7bo$16bobo1126b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$
1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$1083bo$
1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo$1080bobo72bo$200b2o88b2o
232b2o88b2o232b2o88b2o199bo12bobo36b3o$200b2o88b2o232b2o88b2o232b2o88b
2o198b3o49bo2bo$1137b2obo52bo$2bo1134b3o53bo$2bo1135b2o50bobo$2bo8$
1077bo$1076b3o$1066b3o7bob2o113bo$1066bo2bo7b3o112b3o$1066bo10b2o8b3o
101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$1066bo18bo3bo
24bo2bo$1067bobo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o
1102bo$12bob2o1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$13b2o1072bo2bo74b
o2bo$1087bo77bo$200b2o88b2o232b2o88b2o232b2o88b2o147bo77bo3bo$200b2o
88b2o232b2o88b2o232b2o88b2o129b3o16bobo74bo3bo$1068bo2bo93bo$2bo1068bo
94bobo$2bo1064bo3bo$2bo1052b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b
3o$1055bo55bo53bob2o$1056bobo51b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o
8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3b
o$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo1040b3o91bobo$13bo1040bob
2o$14bobo1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$
1101bobo17bo$1122bobo4$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o
232b2o88b2o232b2o88b2o165bo$1104b3o$2bo12b3o1085b2obo38bo$2bo12bo2bo
1084b3o38b3o$2bo12bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$
1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$
1081b3o50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$
1083bo71bo$1080bobo72bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo
$1137b3o53bo$200b2o88b2o232b2o88b2o232b2o88b2o198b2o50bobo$200b2o88b2o
232b2o88b2o232b2o88b2o2$2bo$2bo$2bo4$1077bo$1076b3o$1066b3o7bob2o113bo
$1066bo2bo7b3o112b3o$1066bo10b2o8b3o101b2obo$1066bo3bo15bo2bo101b3o$
1066bo3bo18bo25b3o74b2o$1066bo18bo3bo24bo2bo$1067bobo15bo3bo27bo$1089b
o23bo3bo$13bo1072bobo24bo3bo$12b3o1102bo$12bob2o1098bobo$13b3o$13b3o$
13b3o1071b3o75b3o$13b2o1072bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1069b
3o16bobo74bo3bo$1068bo2bo93bo$1071bo94bobo$200b2o88b2o232b2o88b2o232b
2o88b2o127bo3bo$200b2o88b2o232b2o88b2o232b2o88b2o115b3o9bo3bo$1055bo2b
o12bo94bo$2bo1052bo12bobo94b3o$2bo1052bo55bo53bob2o$2bo1053bobo51b3o
53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119bo
3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo
1038bo95bo$13bo1040b3o91bobo$13bo1040bob2o$14bobo1038b3o42b3o$1055b2o
43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo$1122bobo5$1105bo$
1104b3o$15b3o1085b2obo38bo$15bo2bo181b2o88b2o232b2o88b2o232b2o88b2o
163b3o38b3o$15bo184b2o88b2o232b2o88b2o232b2o88b2o164b2o38bob2o$15bo
1129b3o7bo$2bo13bobo1126b2o7b3o$2bo1150b2obo$2bo1150b3o$1153b3o$1153b
3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$1083b
o$1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo$1080bobo72bo$1139bo12bobo
36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo4$200b2o
88b2o232b2o88b2o232b2o88b2o$200b2o88b2o232b2o88b2o232b2o88b2o2$2bo$2bo
$2bo1074bo$1076b3o$1066b3o7bob2o113bo$1066bo2bo7b3o112b3o$1066bo10b2o
8b3o101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$1066bo18bo
3bo24bo2bo$1067bobo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o
1102bo$12bob2o1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$13b2o1072bo2bo74b
o2bo$1087bo77bo$1087bo77bo3bo$1069b3o16bobo74bo3bo$1068bo2bo93bo$1071b
o94bobo$1067bo3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b3o$
200b2o88b2o232b2o88b2o232b2o88b2o115bo55bo53bob2o$200b2o88b2o232b2o88b
2o232b2o88b2o116bobo51b3o53b3o$1110bob2o52b2o$2bo1108b3o$2bo1108b2o8b
3o$2bo1117bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo
3bo$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo1040b3o91bobo$13bo1040b
ob2o$14bobo1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$
1101bobo17bo$1122bobo5$1105bo$1104b3o$15b3o1085b2obo38bo$15bo2bo1084b
3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$200b2o88b
2o232b2o88b2o232b2o88b2o213b2obo$200b2o88b2o232b2o88b2o232b2o88b2o213b
3o$1153b3o$2bo1150b3o$2bo1151b2o$2bo4$1134b3o$1134bo2bo$1134bo$1081b3o
50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo
$1080bobo72bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o
53bo$1138b2o50bobo8$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o232b
2o88b2o232b2o88b2o137bo$1076b3o$2bo1063b3o7bob2o113bo$2bo1063bo2bo7b3o
112b3o$2bo1063bo10b2o8b3o101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo
25b3o74b2o$1066bo18bo3bo24bo2bo$1067bobo15bo3bo27bo$1089bo23bo3bo$13bo
1072bobo24bo3bo$12b3o1102bo$12bob2o1098bobo$13b3o$13b3o$13b3o1071b3o
75b3o$13b2o1072bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1069b3o16bobo74bo
3bo$1068bo2bo93bo$1071bo94bobo$1067bo3bo$1055b3o9bo3bo$1055bo2bo12bo
94bo$1055bo12bobo94b3o$1055bo55bo53bob2o$1056bobo51b3o53b3o$1110bob2o
52b2o$1111b3o$200b2o88b2o232b2o88b2o232b2o88b2o171b2o8b3o$200b2o88b2o
232b2o88b2o232b2o88b2o180bo2bo$1123bo25b3o$2bo1116bo3bo24bo2bo$2bo
1116bo3bo27bo$2bo1120bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$
13bo1040b3o91bobo$13bo1040bob2o$14bobo1038b3o42b3o$1055b2o43bo2bo17b3o
$1100bo20bo2bo$1100bo20bo$1101bobo17bo$1122bobo5$1105bo$1104b3o$15b3o
1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$
16bobo1126b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$200b2o88b2o232b2o
88b2o232b2o88b2o214b2o$200b2o88b2o232b2o88b2o232b2o88b2o2$2bo$2bo$2bo
1131b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$1083bo$1079bo3bo
69b3o$1079bo3bo68bo2bo$1083bo71bo$1080bobo72bo$1139bo12bobo36b3o$1138b
3o49bo2bo$1137b2obo52bo$1137b3o53bo$1138b2o50bobo9$1077bo$1076b3o$
1066b3o7bob2o113bo$200b2o88b2o232b2o88b2o232b2o88b2o126bo2bo7b3o112b3o
$200b2o88b2o232b2o88b2o232b2o88b2o126bo10b2o8b3o101b2obo$1066bo3bo15bo
2bo101b3o$2bo1063bo3bo18bo25b3o74b2o$2bo1063bo18bo3bo24bo2bo$2bo1064bo
bo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o1102bo$12bob2o
1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$13b2o1072bo2bo74bo2bo$1087bo77b
o$1087bo77bo3bo$1069b3o16bobo74bo3bo$1068bo2bo93bo$1071bo94bobo$1067bo
3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b3o$1055bo55bo53bob
2o$1056bobo51b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$
1123bo25b3o$1119bo3bo24bo2bo$200b2o88b2o232b2o88b2o232b2o88b2o179bo3bo
27bo$200b2o88b2o232b2o88b2o232b2o88b2o183bo23bo3bo$13b3o1104bobo24bo3b
o$2bo10bo2bo1038bo95bo$2bo10bo1040b3o91bobo$2bo10bo1040bob2o$14bobo
1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bobo17bo
$1122bobo5$1105bo$1104b3o$15b3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo
1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$1153b2obo$1153b3o$
1153b3o$1153b3o$1154b2o4$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o
232b2o88b2o232b2o88b2o194b3o$1134bo2bo$2bo1131bo$2bo1078b3o50bo$2bo
1077bo2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo$
1080bobo72bo$1139bo12bobo36b3o$1138b3o49bo2bo$1137b2obo52bo$1137b3o53b
o$1138b2o50bobo9$1077bo$1076b3o$1066b3o7bob2o113bo$1066bo2bo7b3o112b3o
$1066bo10b2o8b3o101b2obo$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b
2o$200b2o88b2o232b2o88b2o232b2o88b2o126bo18bo3bo24bo2bo$200b2o88b2o
232b2o88b2o232b2o88b2o127bobo15bo3bo27bo$1089bo23bo3bo$2bo10bo1072bobo
24bo3bo$2bo9b3o1102bo$2bo9bob2o1098bobo$13b3o$13b3o$13b3o1071b3o75b3o$
13b2o1072bo2bo74bo2bo$1087bo77bo$1087bo77bo3bo$1069b3o16bobo74bo3bo$
1068bo2bo93bo$1071bo94bobo$1067bo3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$
1055bo12bobo94b3o$1055bo55bo53bob2o$1056bobo51b3o53b3o$1110bob2o52b2o$
1111b3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo
27bo$1123bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo186b2o
88b2o232b2o88b2o232b2o88b2o114b3o91bobo$13bo186b2o88b2o232b2o88b2o232b
2o88b2o114bob2o$14bobo1038b3o42b3o$2bo1052b2o43bo2bo17b3o$2bo1097bo20b
o2bo$2bo1097bo20bo$1101bobo17bo$1122bobo5$1105bo$1104b3o$15b3o1085b2ob
o38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo
1126b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo
2bo$1134bo$200b2o88b2o232b2o88b2o232b2o88b2o141b3o50bo$200b2o88b2o232b
2o88b2o232b2o88b2o140bo2bo51bobo$1083bo$2bo1076bo3bo69b3o$2bo1076bo3bo
68bo2bo$2bo1080bo71bo$1080bobo72bo$1139bo12bobo36b3o$1138b3o49bo2bo$
1137b2obo52bo$1137b3o53bo$1138b2o50bobo9$1077bo$1076b3o$1066b3o7bob2o
113bo$1066bo2bo7b3o112b3o$1066bo10b2o8b3o101b2obo$1066bo3bo15bo2bo101b
3o$1066bo3bo18bo25b3o74b2o$1066bo18bo3bo24bo2bo$1067bobo15bo3bo27bo$
1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o185b2o88b2o232b2o88b2o232b2o88b
2o177bo$12bob2o184b2o88b2o232b2o88b2o232b2o88b2o174bobo$13b3o$2bo10b3o
$2bo10b3o1071b3o75b3o$2bo10b2o1072bo2bo74bo2bo$1087bo77bo$1087bo77bo3b
o$1069b3o16bobo74bo3bo$1068bo2bo93bo$1071bo94bobo$1067bo3bo$1055b3o9bo
3bo$1055bo2bo12bo94bo$1055bo12bobo94b3o$1055bo55bo53bob2o$1056bobo51b
3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$1120bo2bo$1123bo25b3o$1119b
o3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$13b3o1104bobo24bo3bo$13bo2bo
1038bo95bo$13bo1040b3o91bobo$13bo1040bob2o$14bobo1038b3o42b3o$1055b2o
43bo2bo17b3o$200b2o88b2o232b2o88b2o232b2o88b2o160bo20bo2bo$200b2o88b2o
232b2o88b2o232b2o88b2o160bo20bo$1101bobo17bo$2bo1119bobo$2bo$2bo3$
1105bo$1104b3o$15b3o1085b2obo38bo$15bo2bo1084b3o38b3o$15bo1088b2o38bob
2o$15bo1129b3o7bo$16bobo1126b2o7b3o$1153b2obo$1153b3o$1153b3o$1153b3o$
1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o50bo$1080bo2bo51bobo$1083bo$
1079bo3bo69b3o$200b2o88b2o232b2o88b2o232b2o88b2o139bo3bo68bo2bo$200b2o
88b2o232b2o88b2o232b2o88b2o143bo71bo$1080bobo72bo$2bo1136bo12bobo36b3o
$2bo1135b3o49bo2bo$2bo1134b2obo52bo$1137b3o53bo$1138b2o50bobo9$1077bo$
1076b3o$1066b3o7bob2o113bo$1066bo2bo7b3o112b3o$1066bo10b2o8b3o101b2obo
$1066bo3bo15bo2bo101b3o$1066bo3bo18bo25b3o74b2o$1066bo18bo3bo24bo2bo$
1067bobo15bo3bo27bo$1089bo23bo3bo$13bo1072bobo24bo3bo$12b3o1102bo$12bo
b2o1098bobo$13b3o$13b3o$13b3o184b2o88b2o232b2o88b2o232b2o88b2o147b3o
75b3o$13b2o185b2o88b2o232b2o88b2o232b2o88b2o147bo2bo74bo2bo$1087bo77bo
$2bo1084bo77bo3bo$2bo1066b3o16bobo74bo3bo$2bo1065bo2bo93bo$1071bo94bob
o$1067bo3bo$1055b3o9bo3bo$1055bo2bo12bo94bo$1055bo12bobo94b3o$1055bo
55bo53bob2o$1056bobo51b3o53b3o$1110bob2o52b2o$1111b3o$1111b2o8b3o$
1120bo2bo$1123bo25b3o$1119bo3bo24bo2bo$1119bo3bo27bo$1123bo23bo3bo$13b
3o1104bobo24bo3bo$13bo2bo1038bo95bo$13bo1040b3o91bobo$13bo1040bob2o$
14bobo1038b3o42b3o$1055b2o43bo2bo17b3o$1100bo20bo2bo$1100bo20bo$1101bo
bo17bo$1122bobo$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o232b2o88b
2o232b2o88b2o2$2bo$2bo1102bo$2bo1101b3o$15b3o1085b2obo38bo$15bo2bo
1084b3o38b3o$15bo1088b2o38bob2o$15bo1129b3o7bo$16bobo1126b2o7b3o$1153b
2obo$1153b3o$1153b3o$1153b3o$1154b2o5$1134b3o$1134bo2bo$1134bo$1081b3o
50bo$1080bo2bo51bobo$1083bo$1079bo3bo69b3o$1079bo3bo68bo2bo$1083bo71bo
$1080bobo72bo$1139bo12bobo36b3o$200b2o88b2o232b2o88b2o232b2o88b2o198b
3o49bo2bo$200b2o88b2o232b2o88b2o232b2o88b2o197b2obo52bo$1137b3o53bo$2b
o1135b2o50bobo$2bo$2bo7$1077bo$1076b3o$1066b3o7bob2o113bo$1066bo2bo7b
3o112b3o$1066bo10b2o112b2obo$1066bo3bo120b3o$1066bo3bo121b2o$1066bo$
1067bobo2$13bo$12b3o$12bob2o$13b3o$13b3o$13b3o1149b3o$13b2o1150bo2bo$
1165bo$1165bo3bo$200b2o88b2o232b2o88b2o232b2o88b2o129b3o93bo3bo$200b2o
88b2o232b2o88b2o232b2o88b2o128bo2bo93bo$1071bo94bobo$2bo1064bo3bo$2bo
1052b3o9bo3bo$2bo1052bo2bo12bo94bo$1055bo12bobo94b3o$1055bo109bob2o$
1056bobo107b3o$1166b2o8$13b3o$13bo2bo1038bo$13bo1040b3o$13bo1040bob2o$
14bobo1038b3o$1055b2o9$200b2o88b2o232b2o88b2o232b2o88b2o$200b2o88b2o
232b2o88b2o232b2o88b2o$15b3o$2bo12bo2bo$2bo12bo$2bo12bo$16bobo!

Please double-check that salvos are constructible with known syntheses.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby codeholic » January 30th, 2014, 5:14 pm

dvgrn wrote:One side will still function just as it did before, but the side where you removed two trails will send out a backward glider stream. As long as something can catch these extra streams -- junk, forward gliders, whatever -- then we can do useful constructions with the output gliders on the other side. In particular, we could run a forerake and a backrake to set up another block trail N ticks away, on each side of the original four trails.

Now we have six trails. But the frame will have to switch: what used to be an intra-block-pair distance is now an inter-block-pair distance, and vice versa.

Sounds doable. But why not just build two trails on the same side?

dvgrn wrote:... No chance, I think. Those reflected forward streams are going to be more expensive to construct than the fourth block trail would be -- right?

This might be quite tricky and reminds me of "catamaran" design.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby oblique » January 30th, 2014, 5:31 pm

codeholic wrote:Here you are. A front pattern producing 90:234:90:234:90 track set "parasitizing" on 27 spaceship salvos:
Please double-check that salvos are constructible with known syntheses.

Hm - the pattern is quite assymetric. May be it would be easier to build if most of the fan outs were on the opposite side?
oblique
 
Posts: 122
Joined: July 16th, 2013, 1:30 pm

Re: 31c/240 caterpillar working notes

Postby codeholic » January 30th, 2014, 5:39 pm

It doesn't matter on which side most spaceships are, because the spine is symmetric and can shoot gliders on either side.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby oblique » January 30th, 2014, 5:54 pm

codeholic wrote:It doesn't matter on which side most spaceships are, because the spine is symmetric and can shoot gliders on either side.

Yes.

But as far as I understood you could just as well work on both sides at the same time.

Nevermind. I just noticed that your helix is just 4 ships ... so there will no point.

As for the constructability:
x = 13, y = 18, rule = B3/S23
$4b3o$4bo2bo$4bo$4bo3bo$4bo3bo$4bo$5bobo3$5bo$4b3o$4bob2o$5b3o$5b2o!

Theese to a pretty close to each other ... perhaps that's the worst part of the stream
oblique
 
Posts: 122
Joined: July 16th, 2013, 1:30 pm

Re: 31c/240 caterpillar working notes

Postby HartmutHolzwart » January 30th, 2014, 6:29 pm

I guess you must build these simultaneously. So the next challenge would be to synthesize this pair!
HartmutHolzwart
 
Posts: 387
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » January 30th, 2014, 11:43 pm

HartmutHolzwart wrote:I guess you must build these simultaneously. So the next challenge would be to synthesize this pair!

Probably something in that salvo will turn out to be unexpectedly awkward. But that particular pair can be built incrementally with no problem at all:

x = 75, y = 225, rule = B3/S23
2bo$obo$b2o49$66b2o$66bo$64bobo$64b2o11$67bo$67bo$67bo15$66b2o$66bo$
64bobo$64b2o6$62bo$60bobo$61b2o3$67bo$67bo$67bo33$73bo$72b3o$71b2obo$
71b3o$72b2o85$73bo$72b3o$71b2obo$71b3o$72b2o!

Now, with either a slow-salvo design or a standard incremental forerake+backrake approach (or, more likely, some kind of modern combination of the two) we'd construct the inner upship streams first, then reach past the lower ends of the streams to construct upship streams farther away. So in the above case it works to build the HWSS first, and have the LWSS stream already there coming from a construction point farther down.

I can keep doing some work on this in my spare time, but that will be pretty intermittent for the next month or so at least. I'll probably do the left-side upship streams first, just to see if it's going to work.

After that, if anyone would care to help out, it will be useful to have incremental syntheses for each of the 24 *WSSes in the larger group. I believe that would be

x = 325, y = 316, rule = LifeHistory
211.3A$210.A2.A$213.A$209.A3.A$209.A3.A$213.A$210.A.A14$207.A$206.3A$
196.3A7.A.2A$196.A2.A7.3A$196.A10.2A8.3A$196.A3.A15.A2.A$196.A3.A18.A
25.3A$196.A18.A3.A24.A2.A$197.A.A15.A3.A27.A$219.A23.A3.A$216.A.A24.A
3.A$247.A$244.A.A3$217.3A$217.A2.A$217.A$217.A$199.3A16.A.A$198.A2.A$
201.A$197.A3.A$185.3A9.A3.A$185.A2.A12.A$185.A12.A.A$185.A55.A$186.A.
A51.3A$240.A.2A$241.3A$241.2A8.3A$250.A2.A$253.A25.3A$249.A3.A24.A2.A
$249.A3.A27.A$253.A23.A3.A$250.A.A24.A3.A$185.A95.A$184.3A91.A.A$184.
A.2A$185.3A42.3A$185.2A43.A2.A17.3A$230.A20.A2.A$230.A20.A$231.A.A17.
A$252.A.A5$235.A$234.3A$233.2A.A38.A$233.3A38.3A$234.2A38.A.2A$275.3A
7.A$275.2A7.3A$283.2A.A$283.3A$283.3A$283.3A$284.2A5$264.3A$264.A2.A$
264.A$211.3C50.A$210.C2.C51.A.A$213.C$26.3D180.C3.C69.3A$25.D3.D179.C
3.C68.A2.A$25.D187.C71.A$25.4D181.C.C72.A$25.D3.D239.A12.A.A36.3A$25.
D3.D238.3A49.A2.A$26.3D238.2A.A52.A$267.3A53.A$268.2A50.A.A9$207.C$
206.3C$196.3C7.C.2C113.A$21.5D170.C2.C7.3C112.3A$21.D174.C10.2C8.3C
101.2A.A$12.3D6.4D171.C3.C15.C2.C101.3A$11.D3.D9.D170.C3.C18.C25.3C
74.2A$15.D9.D4.5D161.C18.C3.C24.C2.C$13.2D6.D3.D8.D162.C.C15.C3.C27.C
$15.D6.3D8.D23.D3.3D155.C23.C3.C$11.D3.D17.D22.2D2.D3.D151.C.C24.C3.C
$12.3D17.D24.D6.D182.C$32.D24.D5.D180.C.C$32.D24.D4.D$57.D3.D$56.3D.
5D152.3C75.3A$217.C2.C74.A2.A$33.3D181.C77.A$32.D3.D180.C77.A3.A$32.D
3.D162.3C16.C.C74.A3.A$33.3D162.C2.C93.A$32.D3.D164.C94.A.A$15.D16.D
3.D160.C3.C$14.2D17.3D149.3C9.C3.C$13.D.D169.C2.C12.C94.A$.3D8.D2.D
169.C12.C.C94.3A$D3.D7.5D168.C55.C53.A.2A$4.D10.D170.C.C51.3C53.3A$3.
D11.D38.D3.D181.C.2C52.2A$2.D50.2D2.2D182.3C$.D52.D3.D182.2C8.3C$5D
49.D3.D191.C2.C$54.D3.D194.C25.3C$54.D3.D5.D3.3D178.C3.C24.C2.C$53.3D
.3D3.2D2.D3.D177.C3.C27.C$64.D6.D19.D3.3D155.C23.C3.C$64.D4.2D19.2D2.
D3.D151.C.C24.C3.C$64.D6.D19.D2.D3.D86.C95.C$64.D2.D3.D19.D3.3D86.3C
91.C.C$.D61.3D2.3D20.D2.D3.D85.C.2C$2D89.D2.D3.D86.3C42.3C$.D88.3D2.
3D87.2C43.C2.C17.3C$.D43.3D182.C20.C2.C$.D42.D3.D16.D5.D158.C20.C$.D
42.D3.D15.2D4.2D159.C.C17.C$3D42.4D16.D3.D.D180.C.C$48.D16.D2.D2.D$
44.D3.D16.D2.5D$45.3D17.D5.D$64.3D4.D$235.C$234.3C$47.D3.3D179.2C.C
38.C$46.2D2.D3.D178.3C38.3C$47.D2.D2.2D32.D2.5D139.2C38.C.2C$47.D2.D.
D.D31.2D6.D180.3C7.C$47.D2.2D2.D32.D5.D181.2C7.3C$47.D2.D3.D32.D5.D
189.2C.C$46.3D2.3D33.D4.D5.D3.3D178.3C$87.D4.D4.2D2.D3.D177.3C$86.3D
3.D5.D2.D3.D177.3C$98.D3.4D178.2C$98.D6.D$98.D2.D3.D$97.3D2.3D2$264.
3C$264.C2.C$78.D2.5D178.C$77.2D2.D129.3A50.C$78.D2.4D125.A2.A51.C.C$
78.D6.D127.A$78.D6.D123.A3.A69.3C$78.D2.D3.D9.3D3.3D105.A3.A68.C2.C$
77.3D2.3D9.D3.D.D3.D108.A71.C$98.D.D2.2D105.A.A72.C$97.D2.D.D.D164.C
12.C.C36.3C$96.D3.2D2.D163.3C49.C2.C$81.D3.3D7.D4.D3.D27.3D3.3D126.2C
.C52.C$80.2D2.D3.D5.5D2.3D27.D3.D.D3.D125.3C53.C$81.D2.D50.D5.D126.2C
50.C.C$81.D2.4D46.D4.2D$81.D2.D3.D44.D7.D$81.D2.D3.D43.D4.D3.D$80.3D
2.3D43.5D2.3D5$207.A$206.3A$196.3A7.A.2A113.C$196.A2.A7.3A112.3C$134.
3D5.D53.A10.2A8.3A101.2C.C$133.D3.D3.2D53.A3.A15.A2.A101.3C$137.D2.D.
D53.A3.A18.A25.3A74.2C$136.D2.D2.D53.A18.A3.A24.A2.A$135.D3.5D53.A.A
15.A3.A27.A$134.D7.D76.A23.A3.A$133.5D4.D73.A.A24.A3.A$247.A$244.A.A
3$217.3A75.3C$217.A2.A74.C2.C$217.A77.C$108.3D4.D101.A77.C3.C$107.D3.
D2.2D83.3A16.A.A74.C3.C$111.D3.D82.A2.A93.C$110.D4.D85.A94.C.C$109.D
5.D81.A3.A$108.D6.D69.3A9.A3.A$107.5D2.3D68.A2.A12.A94.C$185.A12.A.A
94.3C$185.A55.A53.C.2C$108.3D3.3D69.A.A51.3A53.3C$107.D3.D.D3.D122.A.
2A52.2C$111.D5.D123.3A$110.D5.D124.2A8.3A$109.D5.D134.A2.A$108.D5.D
138.A25.3A$107.5D.5D131.A3.A24.A2.A$249.A3.A27.A$253.A23.A3.A$250.A.A
24.A3.A$185.A95.A$184.3A91.A.A$184.A.2A$185.3A42.3A$185.2A43.A2.A17.
3A$230.A20.A2.A$230.A20.A$231.A.A17.A$252.A.A5$235.A$234.3A$233.2A.A
38.A$233.3A38.3A$234.2A38.A.2A$275.3A7.A$275.2A7.3A$283.2A.A$283.3A$
283.3A$283.3A$284.2A5$264.3A$264.A2.A$264.A$264.A$265.A.A2$283.3A$
282.A2.A$285.A$285.A$269.A12.A.A36.3A$268.3A49.A2.A$267.2A.A52.A$267.
3A53.A$268.2A50.A.A11$323.A$322.3A$321.2A.A$321.3A$322.2A9$295.3A$
295.A2.A$295.A$295.A3.A$295.A3.A$295.A$296.A.A3$296.A$295.3A$295.A.2A
$296.3A$296.2A!

In the above pattern I've added index numbers 1 through 24 for the *WSSes, in case anyone sees a problem with a particular group. Or if you'd care to post a good incremental synthesis for a particular *WSS #N, just remove that *WSS from the index pattern and add in the gliders or other still lifes needed to edge-shoot that upship stream. I think we'll only need a few different recipes, so maybe this won't really be needed for all two dozen streams.

I haven't really figured out yet how close it is possible to build arbitrary objects by colliding forerake and backrake gliders, but I think it would probably need to be much farther away from the block trails -- hundreds of cells at least, to allow up to 30 rephasers between the forerake and the backrake in each pair. It looks like it shouldn't be too difficult to move the helix farther away from the block trails, if it turns out to be more efficient to build with fore/back pairs like this?

With a slow-salvos-only construction, the current front-end spacing should be plenty.
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby codeholic » January 31st, 2014, 2:49 am

oblique wrote:Nevermind. I just noticed that your helix is just 4 ships ... so there will no point.

Oh. Now I got what you had meant. You're most probably right, but till nobody bothers to optimize a recipe compiler for simultaneous synthesis on both sides, I don't see a reason for optimizing the front pattern.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby codeholic » January 31st, 2014, 3:00 am

dvgrn wrote:Now, with either a slow-salvo design or a standard incremental forerake+backrake approach (or, more likely, some kind of modern combination of the two)

I thought about slow salvo synthesis, but with gliders coming from two sides.
dvgrn wrote:I haven't really figured out yet how close it is possible to build arbitrary objects by colliding forerake and backrake gliders, but I think it would probably need to be much farther away from the block trails -- hundreds of cells at least, to allow up to 30 rephasers between the forerake and the backrake in each pair. It looks like it shouldn't be too difficult to move the helix farther away from the block trails, if it turns out to be more efficient to build with fore/back pairs like this?

No, that won't be difficult. I also considered this option, though I didn't realize that timing wouldn't require anything more than just few rephasers between rakes.

What would be the least sufficient clearance?

EDIT: By the way, if you know how to synthesise the following salvo using bidirectional synthesis (the current restriction, if I get it right, is one glider from each side each round), let me know:
x = 8, y = 35, rule = B3/S23
5b2o$4bo2bo$5b2o17$2b3o$bo2bo$4bo$o3bo$o3bo$4bo$bobo5$bo$3o$ob2o$b3o$b
2o!

It allows more efficient track construction with no need for still-life movers (we might save about 5 spaceships).

EDIT: If anyone finds MWSS synthesis under the same restriction, that would be nice as well. It would give almost a whole dimension for searching new reactions.
Last edited by codeholic on January 31st, 2014, 5:41 am, edited 2 times in total.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby codeholic » January 31st, 2014, 3:49 am

dvgrn wrote:After that, if anyone would care to help out, it will be useful to have incremental syntheses for each of the 24 *WSSes in the larger group. I believe that would be

Ironically, your numbering emits almost edge-shot LWSS and HWSS.
x = 144, y = 140, rule = B3/S23
26b3o$25bo3bo$25bo$25b4o$25bo3bo$25bo3bo$26b3o14$21b5o$21bo$14bo6b4o$
13b2o10bo$12bobo10bo4b5o$11bo2bo6bo3bo8bo$11b5o6b3o8bo23bo3b3o$14bo18b
o22b2o2bo3bo$14bo17bo24bo6bo$32bo24bo5bo$32bo24bo4bo$57bo3bo$56b3ob5o
2$33b3o$32bo3bo$32bo3bo$33b3o$32bo3bo$13b3o16bo3bo$12bo3bo16b3o$16bo$b
3o10b2o$o3bo11bo$4bo7bo3bo$3bo9b3o38bo3bo$2bo50b2o2b2o$bo52bo3bo$5o49b
o3bo$54bo3bo$54bo3bo5bo3b3o$53b3ob3o3b2o2bo3bo$64bo6bo19bo3b3o$64bo4b
2o19b2o2bo3bo$64bo6bo19bo2bo3bo$64bo2bo3bo19bo3b3o$bo61b3o2b3o20bo2bo
3bo$2o89bo2bo3bo$bo88b3o2b3o$bo43b3o$bo42bo3bo16bo5bo$bo42bo3bo15b2o4b
2o$3o42b4o16bo3bobo$48bo16bo2bo2bo$44bo3bo16bo2b5o$45b3o17bo5bo$64b3o
4bo3$47bo3b3o$46b2o2bo3bo$47bo2bo2b2o32bo2b5o$47bo2bobobo31b2o6bo$47bo
2b2o2bo32bo5bo$47bo2bo3bo32bo5bo$46b3o2b3o33bo4bo5bo3b3o$87bo4bo4b2o2b
o3bo$86b3o3bo5bo2bo3bo$98bo3b4o$98bo6bo$98bo2bo3bo$97b3o2b3o4$78bo2b5o
$77b2o2bo$78bo2b4o$78bo6bo$78bo6bo$78bo2bo3bo9b3o3b3o$77b3o2b3o9bo3bob
o3bo$98bobo2b2o$97bo2bobobo$96bo3b2o2bo$81bo3b3o7bo4bo3bo27b3o3b3o$80b
2o2bo3bo5b5o2b3o27bo3bobo3bo$81bo2bo50bo5bo$81bo2b4o46bo4b2o$81bo2bo3b
o44bo7bo$81bo2bo3bo43bo4bo3bo$80b3o2b3o43b5o2b3o9$134b3o5bo$133bo3bo3b
2o$137bo2bobo$136bo2bo2bo$135bo3b5o$134bo7bo$133b5o4bo8$108b3o4bo$107b
o3bo2b2o$111bo3bo$110bo4bo$109bo5bo$108bo6bo$107b5o2b3o3$108b3o3b3o$
107bo3bobo3bo$111bo5bo$110bo5bo$109bo5bo$108bo5bo$107b5ob5o!

EDIT: I believe, 3 and 4 should be traded places.
EDIT: Ah, sorry, I was mistaken.
Last edited by codeholic on January 31st, 2014, 8:22 am, edited 1 time in total.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby HartmutHolzwart » January 31st, 2014, 8:18 am

Congratulations to all of you! You're really getting somewhere.

And this after 10 years of little progress in that direction!

Rgds,
Hartmut
HartmutHolzwart
 
Posts: 387
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » January 31st, 2014, 9:03 am

codeholic wrote:Ironically, your numbering emits almost edge-shot LWSS and HWSS.

Wow! I mean, ah, um, of course it does -- I designed it to do that...

codeholic wrote:EDIT: I believe, 3 and 4 should be traded places.

But that's no good: if I swap those two, I only get the HWSS output and not the LWSS when I "run the numbers"...

-- All right, I've swapped 3 and 4 in the original index pattern. But if any more pairs end up needing to be constructed in the reverse order, let's just build them out of order and not worry about renumbering them. EDIT: I don't think you were mistaken, I just sneakily fixed the index pattern -- but let me know if I'm wrong.

codeholic wrote:EDIT: By the way, if you know how to synthesise the following salvo using bidirectional synthesis (the current restriction, if I get it right, is one glider from each side each round), let me know...

No good ideas yet -- could probably build a mirror-image seed for the HWSS, in an emergency, using slow salvos timed to miss the resulting HWSS stream. But I think maybe it makes sense to keep searching until we turn up a higher-clearance HWSS edge-shooter, or an LWSS edge-shooter with less obtrusive pre- and post-construction sparks.

-- Hey, wait a minute, maybe the mirror-image seed idea is better than I think! Might it work to build an LWSS seed and and HWSS seed, without triggering either one? Then a backrake can trigger the LWSS seed first, and another backrake triggers the HWSS seed as soon as possible:

x = 67, y = 257, rule = B3/S23
obo$b2o$bo54$48b2o$48bo$51bo$50b2o3$65bo$64bobo$64b2o7$47b3o3$39b3o$
39bo2bo$39bo$39bo$40bobo9$48b2o$48bo$51bo$50b2o$60bobo$61b2o$61bo3bo$
64bobo$64b2o7$47b3o61$39b3o$39bo2bo$39bo$39bo$40bobo85$39b3o$39bo2bo$
39bo$39bo$40bobo!

I'm not at all clear yet whether this whole thing would have to be done inside one width-31 stripe, though. Seems as if the HWSS seed could be constructed first, and then it could be in the LWSS seed's shadow for a while with no problem...?

I guess if you agree that the above is doable, then let's go ahead and save five spaceships! Maybe better recipes will turn up later anyway.

codeholic wrote:What would be the least sufficient clearance? {for fore- and backrake combinations at 90:234}

Well... I just made a synchronized stack of 32 90:234 rephasers, and took a forward glider from the last one and a backward glider from the first one. They collided somewhere around column 2790... how's that for an estimate?

We should be able to get by just fine with less clearance, though -- 31 rephasers ought to be the absolute maximum, and they can be packed a bit tighter, and once we have more construction options from a fore/back slow search program we could just refuse to use any recipes that require more than, say, a dozen rephasers. That would bring the offset down to 1000 or so.

-- Or we could just keep things simple and stick with backrake slow salvos for now. Then we can keep the 31c/240 front that you've already built, or maybe a 22-upship variant of it. I kind of like that plan.

A fore/back slow search should turn up some pretty interesting stuff. But I don't really look forward to translating a fore/back slow recipe into an optimal rephaser/rake column...!
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby codeholic » January 31st, 2014, 9:29 am

dvgrn wrote:-- Hey, wait a minute, maybe the mirror-image seed idea is better than I think! Might it work to build an LWSS seed and and HWSS seed, without triggering either one? Then a backrake can trigger the LWSS seed first, and another backrake triggers the HWSS seed as soon as possible:

I thought about this option too. But the problem with this approach is that firstly you would get into trouble synchronising slow salvo gliders with upward spaceships to avoid collisions and secondly, which is even more important, that you won't be able to build the seed in that place, if there are more spaceships to the right (and there will have to be spaceships there).
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » January 31st, 2014, 11:55 am

codeholic wrote:... the problem with this approach is that firstly you would get into trouble synchronising slow salvo gliders with upward spaceships to avoid collisions and secondly, which is even more important, that you won't be able to build the seed in that place, if there are more spaceships to the right (and there will have to be spaceships there).

I think my sample pattern showed how to dodge the first problem. But the second problem is deadly, of course -- d'oh! I'm still no good at visualizing this weird inside-out-and-backwards construction plan, especially since the timing works differently in significant ways. I.e., 31c/240 upships travel through the next construction site, where that doesn't happen in the 17c/45 Caterpillar.

So we should probably just dig up an LWSS edge-shooter seed without such big sparks, or that produces the LWSS toward the back of its reaction envelope.

I'm sure we could make a synchronized-glider recipe work, too, like the one from the original Caterpillar, but that seems unnecessarily painful -- at least until we've run some good optimized slow-salvo searches and haven't found anything.
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby codeholic » January 31st, 2014, 5:44 pm

dvgrn wrote:After that, if anyone would care to help out, it will be useful to have incremental syntheses for each of the 24 *WSSes in the larger group.

I've just done that to make sure that everything is synthesisable, also for the orthogonal HWSS fanout:

https://www.dropbox.com/s/ipedyk45w8npqht/salvos.zip

By the way, spaceships 1 and 2 also had to be swapped.

I used two syntheses for LWSS (sometimes one works when the other doesn't and vice versa):
x = 253, y = 371, rule = B3/S23
bo$2bo$3o89$61bo$62bo$60b3o89$121bo$122bo$120b3o48$248b2o$248b2o3$244b
2o$244b2o7$250b2o$249bo2bo$250b2o17$248b2o$248b2o3$244b2o$244b2o5$181b
o$182bo$180b3o67b2o$249bo2bo$250b2o17$248b2o$248b2o3$244b2o$244b2o7$
250b2o$249bo2bo$250b2o17$248b2o$248b2o3$244b2o$244b2o7$250b2o$249bo2bo
$250b2o17$248b2o$248b2o3$244b2o$244b2o3$241bo$242bo$240b3o2$250b2o$
249bo2bo$250b2o!

x = 266, y = 394, rule = B3/S23
bo$2bo$3o89$61bo$62bo$60b3o89$121bo$122bo$120b3o65$262b2o$262b2o13$
254b2o$254b2o3$263b2o$263bobo$264bo4$181bo$182bo$180b3o5$262b2o$262b2o
13$254b2o$254b2o3$263b2o$263bobo$264bo11$262b2o$262b2o13$254b2o$254b2o
3$263b2o$263bobo$264bo11$262b2o$262b2o13$254b2o$254b2o3$263b2o$263bobo
$264bo2$241bo$242bo$240b3o7$262b2o$262b2o13$254b2o$254b2o3$263b2o$263b
obo$264bo!

...and the following synthesis for HWSS:
x = 248, y = 372, rule = B3/S23
2bo$obo$b2o89$62bo$60bobo$61b2o89$122bo$120bobo$121b2o47$242bo$242b3o$
245bo$244b2o11$247bo$247bo$247bo15$242bo$242b3o$245bo$244b2o8$182bo$
180bobo$181b2o$247bo$247bo$247bo15$242bo$242b3o$245bo$244b2o11$247bo$
247bo$247bo15$242bo$242b3o$245bo$244b2o11$247bo$247bo$247bo15$242bo$
242b3o$245bo$244b2o6$242bo$240bobo$241b2o3$247bo$247bo$247bo!

Of course, all three syntheses have quite a few variations around base reaction that do not affect their applicability.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » January 31st, 2014, 10:53 pm

codeholic wrote:
dvgrn wrote:After that, if anyone would care to help out, it will be useful to have incremental syntheses for each of the 24 *WSSes in the larger group.

I've just done that to make sure that everything is synthesisable, also for the orthogonal HWSS fanout:

https://www.dropbox.com/s/ipedyk45w8npqht/salvos.zip

Looks good -- thanks!

Before we get too far along at building this helix, I'm curious about one other piece of technology that came up a while ago -- the MWSS + Herschel interaction that could theoretically build block trails. I'd like to look a little bit at the older idea of building just one or two block trails at the front -- maybe with the MWSS+H reaction somehow? -- and using the output gliders from Herschels on these first trails to build the other four or five trails. Seems like there are a lot of trail spacings that could work equally well, so it might just be a matter of seeing what spacings are buildable.

In that case, the six-glider helix would probably still be necessary to keep the front end going the right speed... or is there a way to mix a forward glider stream with just a couple of *WSSes to produce a sideways MWSS? Forward glider streams are cheap -- we could do one on each side, add a couple of upship streams, add two Herschels to convert the MWSSes to block trails, and that could possibly be the central spine of the ship.

But maybe with a few more experiments it will be clear that a total of 27 upship streams is really much simpler than this design... I just haven't really tried to think very hard yet about what uses might be made of these new cheap six-trail forward rakes.
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby oblique » February 1st, 2014, 5:06 am

dvgrn wrote:Before we get too far along at building this helix, I'm curious about one other piece of technology that came up a while ago -- the MWSS + Herschel interaction that could theoretically build block trails. I'd like to look a little bit at the older idea of building just one or two block trails at the front -- maybe with the MWSS+H reaction somehow? -- and using the output gliders from Herschels on these first trails to build the other four or five trails. Seems like there are a lot of trail spacings that could work equally well, so it might just be a matter of seeing what spacings are buildable.


Did anybody try to use a glider instead of that MWSS? Maybe the hershel could climb an 31c/240 glider stream?

Hmm. On the other hand: stuff like that would be much messier then the current ship front by codeholic.

And we'd still need to fan out at least some 4 or 5 gliders I bet
oblique
 
Posts: 122
Joined: July 16th, 2013, 1:30 pm

Re: 31c/240 caterpillar working notes

Postby oblique » February 1st, 2014, 5:12 am

dvgrn wrote:In that case, the six-glider helix would probably still be necessary to keep the front end going the right speed... or is there a way to mix a forward glider stream with just a couple of *WSSes to produce a sideways MWSS? Forward glider streams are cheap -- we could do one on each side, add a couple of upship streams.


Theoretically you could use this method to build block trails just by colliding sideways *WSS.

You have demonstrated this in the current thread, by the way.

The cost would be 2 sideways *WSS per trail, each needing one forward glider and some 1-n *WSS upships to build the "sideship".

I don't think I've seen a clean fwd glider + up *WSS -> sideway *WSS reaction yet. And for n=2 you'll already need 24 upships for 6 trails.
oblique
 
Posts: 122
Joined: July 16th, 2013, 1:30 pm

Re: 31c/240 caterpillar working notes

Postby codeholic » February 1st, 2014, 10:11 am

Even before I started working on the current front pattern design, I had rejected the approach with MWSS after some consideration. IMHO, there would be too much hassle, because you wouldn't be able to launch all Herschels at once, and you would need to take care of escaping gliders before they hit fanouts. (And, alternatively, it doesn't make sense to stop escaping gliders with additional spaceships, because that would eliminate all gained benefit.) That would mean, that would need to shot down those escaping gliders with forward gliders coming from 6-trail track far underneath. In turn, that would mean, that fanout devices would have to be very far aside, that would make the width of the spaceship enormous.

And you would still need fanouts for producing gliders to build the rest of trails. (Alternatively, you might collide them with forward gliders build by slow salvos far underneath...)

And after I thought for an hour about all these gliders flying around and forward rakes built with slow salvos far underneath in order to shoot down redundant gliders (or even worse, to build trails by colliding them), all with perfect timing and avoiding undesirable collisions... and all that on a half-built track, that jumps up and down... and on an enormously wide canvas... I just resolved on a safer option.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » February 1st, 2014, 10:51 am

codeholic wrote:after I thought for an hour about all these gliders flying around and forward rakes built with slow salvos far underneath in order to shoot down redundant gliders (or even worse, to build trails by colliding them), all with perfect timing and avoiding undesirable collisions... and all that on half-built trails, that jump up and down... and on an enormously wide canvas... I just resolved on a safer option.

Makes sense. I won't spend too much more time on the idea, since you've gotten a complete and workable front end put together already. It just looked like it might be worth saving half a dozen or a dozen upship streams, if that was possible, before we got in any deeper.

oblique wrote:I don't think I've seen a clean fwd glider + up *WSS -> sideway *WSS reaction yet.

I bet they're out there, though... G+3*WSS, anyway, and G+2*WSS if we're lucky.

oblique wrote:And for n=2 you'll already need 24 upships for 6 trails.

Yup, codeholic's design is definitely better than my *WSS collision method. But you don't need two *WSSes, just one MWSS. Theoretically that means we might be down to just twelve upships (and six forerakes) for six trails -- less if you can get away with building just 2 or 3 or 4 trails. Even if we budget two more upship streams to help build each of the remaining trails, we'd still come in below twenty upships.

Here's a somewhat plausible idea: build two pairs of block trails far away from each other. According to my crackpot theories that might take 8 or 12 upships. Here's a sample at 90:558:90 (but that's adjustable, see below):

x = 2438, y = 327, rule = B3/S23
1877bo$1875bo3bo$3b2o1869bo$3ob2o1868bo4bo$5o1869b5o$b3o4$2435bo$2433b
o3bo$561b2o1869bo$558b3ob2o1868bo4bo$558b5o1869b5o$559b3o17$1757bo$
1755bo3bo$123b2o1629bo$120b3ob2o1628bo4bo$120b5o1629b5o$121b3o4$2315bo
$2313bo3bo$681b2o1629bo$678b3ob2o1628bo4bo$678b5o1629b5o$679b3o17$
1637bo$1635bo3bo$243b2o1389bo$240b3ob2o1388bo4bo$240b5o1389b5o$241b3o
4$2195bo$2193bo3bo$801b2o1389bo$798b3ob2o1388bo4bo$798b5o1389b5o$799b
3o17$1517bo$1515bo3bo$363b2o1149bo$360b3ob2o1148bo4bo$360b5o1149b5o$
361b3o4$2075bo$2073bo3bo$921b2o1149bo$918b3ob2o1148bo4bo$918b5o1149b5o
$919b3o17$1397bo$1395bo3bo$483b2o909bo$480b3ob2o908bo4bo$480b5o909b5o$
481b3o4$1955bo$1953bo3bo$1041b2o909bo$1038b3ob2o908bo4bo$1038b5o909b5o
$1039b3o17$1277bo$1275bo3bo$603b2o669bo$600b3ob2o668bo4bo$600b5o669b5o
$601b3o4$1835bo$1833bo3bo$1161b2o669bo$1158b3ob2o668bo4bo$1158b5o669b
5o$1159b3o17$1157bo$1155bo3bo$723b2o429bo$720b3ob2o428bo4bo$720b5o429b
5o$721b3o4$1715bo$1713bo3bo$1281b2o429bo$1278b3ob2o428bo4bo$1278b5o
429b5o$1279b3o17$1037bo$1035bo3bo$843b2o189bo$840b3ob2o188bo4bo$840b5o
189b5o$841b3o4$1595bo$1593bo3bo$1401b2o189bo$1398b3ob2o188bo4bo$1398b
5o189b5o$1399b3o11$978b3o$979bo$979b3o6$908b3o$908bo2bo624b3o$908bob2o
625bo$899b2o87b2o547b3o$899b2o77b2o8b2o$978b2o3$900bo$900bobo563b3o$
900b2o88bo475bo2bo$989bobo474bob2o$988bo3bo464b2o87b2o$988bo3bo464b2o
77b2o8b2o$897b2o89bo547b2o$897b2o90b3o2$1458bo$1458bobo$1458b2o88bo$
1547bobo$1546bo3bo$901b2o83b2o558bo3bo$901b2o83b2o467b2o89bo$1455b2o
90b3o7$1459b2o83b2o$1459b2o83b2o3$909b2o67b2o$909b2o67b2o8$1467b2o67b
2o$1467b2o67b2o8$901b2o83b2o$901b2o83b2o8$1459b2o83b2o$1459b2o83b2o3$
909b2o67b2o$909b2o67b2o8$1467b2o67b2o$1467b2o67b2o!

Then run another pair of Herschel-pair climbers on each set of trails, and collide the interior gliders again to form another set of block trails up the middle. The track gets completed fairly quickly, so forward glider streams don't have to come from very far down, so the spaceship won't be terribly wide. There are only a few extra backward glider streams to take care of on the outsides, and those can be used to make columns of junk for building the upship streams that build the MWSSes.

I know the blocks on the two sides aren't lined up in the above pattern, but that's not really a requirement for this design, and anyway it could be fixed by running one more Herschel-pair climber on one side, at a cost of two more glider streams to clean up.

-- Still lots of handwaving, I know, but maybe a little less than before. If I can actually build the four-trails-to-six mechanism, might it be worth taking out the four upship streams in the current front-end helix that correspond to the central trails? Or is that too small an improvement to worry about?

If that would mess up the math, I'd be interested to know which sets of four trails would be easy to build -- 48+62N again, right? So 90:558:90 is no good, but maybe 90:544:90 or 90:482:90 or 90:420:90 would be okay... haven't tried yet, but I suspect forerakes and backrakes can be built for any of those widths, with various placements of a central pair of block trails.
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby codeholic » February 1st, 2014, 11:16 am

Shooting an orthogonal MWSS cannot take less than 2 spaceships, plus 2 for adjusting their position (and/or taming the exhaust from MWSS fanouts) I. e. about 4 spaceships per one orthogonal MWSS. Plus 6 spaceships for the helix. Plus at least, if you're lucky, 2 spaceships for protecting fanouts from escaping gliders. It means 24 spaceships is about a bare minimum for this design.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » February 1st, 2014, 11:30 am

codeholic wrote:Shooting an orthogonal MWSS cannot take less than 2 spaceships, plus 2 for adjusting their position (and/or taming the exhaust from MWSS fanouts) I. e. about 4 spaceships per one orthogonal MWSS. Plus 6 spaceships for the helix. Plus at least, if you're lucky, 2 spaceships for protecting fanouts from escaping gliders. It means 24 spaceships is about a bare minimum for this design.

Okay, then, I'll ask a last couple of probably dumb questions:

What about upship streams colliding with a forward glider stream, producing sideways MWSSes far out to the side and ahead of the leading block trails? I'm not sure where any adjustments would be needed -- couldn't you put the Herschel climbers and upship streams and forward glider stream exactly where you want them, as long as the construction point is far enough off to the side?

If the cheapest possible clean MWSS generator is a forward glider plus 2 or 3 or even 4 *WSS (I have no idea which) and if you can build just four block trails instead of six, then that's 8 or 12 or 16 upship streams... and would you even need a helix?

EDIT: This looks like it would probably be a lousy idea for building six block trails. Even with four trails, the forward glider for the second MWSS-building reaction would have to cross either the first MWSS stream, or the upship stream generating the MWSSes. Crossing too many such streams would definitely be a pain... but one crossing I'm willing to at least think about. Are there more possible collision points that I'm not seeing?
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: 31c/240 caterpillar working notes

Postby codeholic » February 1st, 2014, 12:36 pm

Other crossing points will be between escaping gliders from initial Herschel pairs and forward gliders shot to trigger MWSS.
Ivan Fomichev
User avatar
codeholic
Moderator
 
Posts: 1140
Joined: September 13th, 2011, 8:23 am
Location: Hamburg, Germany

Re: 31c/240 caterpillar working notes

Postby dvgrn » February 1st, 2014, 1:54 pm

codeholic wrote:Other crossing points will be between escaping gliders from initial Herschel pairs and forward gliders shot to trigger MWSS.

We can add a forward rake at the very top of the six-trail section to shoot down each unwanted backward stream. You'd just end up with nested V-shapes pointing east-southeast and west-southwest, but no new crossing points (?) no matter how many streams you had to knock out. Then the forward gliders for the MWSS reaction would come from below that -- making the spaceship a little wider, but I don't mind as long as there aren't too many timing headaches.

Anyway, here's something maybe a little more useful: a 4R forward glider stream running on six 90:232 trails. I'm trying out "4R" as shorthand for "using a total of four rephasers/rakes". I think the last best one was a 6R rake.

#C 4R 90:232 forward rake
x = 884, y = 1927, rule = B3/S23
51b2o88b2o556b2o88b2o$51b2o88b2o556b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o30$51b2o88b2o232b2o88b2o
232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o6$52bo$51bo$50b2o$45bo12b
2o4bo$45bo7b2ob2o2bob2ob2o719bo$44bo7bo2bo4b2o4b2o717b3o$45b2o3b3o5b4o
2bo3bo715b2ob2o$45b2ob2o3b3o2b2o2b2ob3o716bo$47bo12bo5bo$786bo$786b2o$
785bob2o$137b2o$137bob2o$139b2o$51b2o84b2o650bo$51b2o82b2o652b2o2$135b
obo568b3o$136bo569bobo$705bo2bo70bobo$705b3o71b2o$705b3o72bo$706bo2bo$
375b2o88b2o239bo$66bo308b2o88b2o242bo$67b2o$66b2o629b2o8bo$59b2o72b2o
562b2o9bo72b2o$59b2o72b2o572b2o72b2o5$696bo$695bobo$695bob2o$698bo$
695bobo$696bo7$51b2o88b2o556b2o88b2o$51b2o88b2o556b2o88b2o4$373bo$372b
obob2o$371b2o5bo86bo$464bobo$371bo6bo85bobo$372b2o3bo87bo$373bo4bo83b
2o$374b2o3bo82b3ob2o2bo$59b2o72b2o238bo4b2o83bob3o239b2o72b2o$59b2o72b
2o238bob4o84bo243b2o72b2o$372b2ob2o7bo75bo3b3o2bo$373bo10bo77b8o$374bo
9bo64bo12bo$448bobo5$371b2o75bobo18b2o$371b2o76bo19bo$bo468bo$obo$obo$
bo$648bo$646b2o$6b2o43b2o88b2o232b2o88b2o180b2o50b2o88b2o$5bo2bo42b2o
88b2o232b2o88b2o232b2o88b2o$6b2o483bo$492bo$490b3o$45bo153bobo$44b2o
154b2o$44bobo153bo2$343bo$343bobo$343b2o$789b2o$59b2o72b2o248b2o72b2o
248b2o72b2o7b2o$59b2o72b2o248b2o72b2o248b2o72b2o6bo9$759bo$757bobo$bo
756b2o$obo$obo431bo$bo430b2o$76bo356b2o$75bo$6b2o43b2o22b3o63b2o232b2o
88b2o232b2o88b2o$5bo2bo42b2o88b2o232b2o88b2o232b2o88b2o$6b2o$105bo307b
obo303bobo$104b2o308b2o303b2o$104bobo307bo305bo3$126bo$127b2o$126b2o
601b2o$730b2o$729bo$59b2o72b2o248b2o72b2o248b2o72b2o$59b2o72b2o248b2o
72b2o248b2o72b2o11$bo$obo$obo$bo3$6b2o43b2o88b2o232b2o88b2o232b2o88b2o
$5bo2bo42b2o88b2o22bo209b2o88b2o232b2o88b2o$6b2o156b2o$164bobo5$669b2o
$670b2o$669bo3$383b2o72b2o$383b2o72b2o11$bo$obo$obo585bo$bo584b2o$587b
2o$225bo$6b2o43b2o88b2o81b2o149b2o88b2o84bo147b2o88b2o$5bo2bo42b2o88b
2o81bobo148b2o88b2o85bo146b2o88b2o$6b2o542b3o$259bobo$260b2o$260bo$
609b2o$51bo231bo326b2o$51b2o230bobo323bo$52b3o228b2o$44b2o6bo$43b4o6b
2o731bo$42bo4bo19bobo715b3o$43b2ob3o5bo3b2o6bo2bo714b2ob2o$44b2o2bo4bo
bo2b2o6bo2bo714bo$45bo3b3obobo11b2o$46bobo3bobo731bo$47bo738b2o$785bob
2o$137b2o$137bob2o$139b2o$51b2o84b2o650bo$51b2o82b2o652b2o2$bo133bobo
568b3o$obo133bo569bobo$obo702bo2bo70bobo$bo703b3o71b2o$705b3o72bo$706b
o2bo$6b2o367b2o88b2o239bo$5bo2bo366b2o88b2o242bo$6b2o59bo$68b2o627b2o
8bo$59b2o6b2o64b2o562b2o9bo72b2o$59b2o72b2o572b2o72b2o5$696bo$695bobo$
695bob2o$698bo$695bobo$696bo7$51b2o88b2o556b2o88b2o$51b2o88b2o556b2o
88b2o2$bo$obo$obo370bo$bo370bobob2o$371b2o5bo86bo$464bobo$6b2o363bo6bo
85bobo$5bo2bo363b2o3bo87bo$6b2o365bo4bo83b2o$374b2o3bo82b3ob2o2bo$59b
2o72b2o238bo4b2o83bob3o239b2o72b2o$59b2o72b2o238bob4o84bo243b2o72b2o$
372b2ob2o7bo75bo3b3o2bo$373bo10bo77b8o$374bo9bo64bo12bo$448bobo5$371b
2o75bobo18b2o$371b2o76bo19bo$470bo4$648bo$646b2o$51b2o88b2o232b2o88b2o
180b2o50b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o$491bo$bo490bo$obo
487b3o$obo42bo153bobo$bo42b2o154b2o$44bobo153bo2$6b2o335bo$5bo2bo334bo
bo$6b2o335b2o$789b2o$59b2o72b2o248b2o72b2o248b2o72b2o7b2o$59b2o72b2o
248b2o72b2o248b2o72b2o6bo7$881b3o$883bo$759bo122bo$757bobo$758b2o2$
434bo$432b2o$76bo356b2o$75bo$51b2o22b3o63b2o232b2o88b2o232b2o88b2o$51b
2o88b2o232b2o88b2o232b2o88b2o2$bo103bo307bobo303bobo$obo101b2o308b2o
303b2o$obo101bobo307bo305bo$bo3$6b2o119bo$5bo2bo119b2o599b2o$6b2o119b
2o601b2o$729bo$59b2o72b2o248b2o72b2o248b2o72b2o$59b2o72b2o248b2o72b2o
248b2o72b2o5$821b3o$823bo$822bo10$51b2o88b2o232b2o88b2o232b2o88b2o$51b
2o88b2o22bo209b2o88b2o232b2o88b2o$164b2o$bo162bobo$obo$obo$bo2$669b2o$
6b2o662b2o$5bo2bo660bo$6b2o2$383b2o72b2o$383b2o72b2o3$761b3o$763bo$
762bo8$588bo$586b2o$587b2o$225bo$51b2o88b2o81b2o149b2o88b2o84bo147b2o
85b3o$51b2o88b2o81bobo148b2o88b2o85bo146b2o83b4o2b2o$550b3o230bobob5o$
bo257bobo522b2o6bo$obo257b2o520b6o2b3o$obo257bo521b2obobob2obo$bo607b
2o171bo2bo$283bo326b2o171b4o2b2o$283bobo323bo$6b2o275b2o488b2o$5bo2bo
762bo2bo$6b2o764b3o23b2o$779b2o15b2o2b2obo$794b2o5bo2bo$798b2o4bo$701b
3o85bo4bo4bob3o$703bo89bo4b2obo$702bo86bo2bo2bo2b2o$795bo$793bobo$794b
o$812bo$789b2o22bo$789b2o20b3o5$383bo$382b3o$381b2o2bo$51b2o88b2o238bo
3bo73b3o237b2o$51b2o88b2o238bobo75b2o238b2o$457b2o3bo$bo371b2o7b2ob2o
70b2obobo4b2o$obo370b2o9bo72b2o3b2o3b2o312b2o$obo458b2o318b2o$bo3$6b2o
366bo$5bo2bo363b2o$6b2o365b2o2$456b2o183b3o$371b2o96b2o172bo$371b2o96b
2o171bo118bo$759b2o$760b2o5$375b2o88b2o322b2o$375b2o88b2o322b2o8$51b2o
88b2o556b2o$51b2o88b2o556b2o2$bo$obo380b2o72b2o322b2o$obo380b2o72b2o
322b2o$bo$699bo$698bobo$6b2o693bo$5bo2bo692b2o8bo$6b2o573b3o107b4o6b2o
$510bo72bo107bo3bo19b2o$511bo70bo108b2o2bo10b2o7b3o$509b3o181bo2bo2bob
3o2b2o7b2o$694b3o2bob3o11bo$694b3o2bo2$325bo$324bo$324b3o2$375b2o88b2o
232b2o88b2o$375b2o88b2o232b2o88b2o8$51b2o88b2o$51b2o88b2o$716bo$bo712b
obo$obo380b2o72b2o248b2o6b2o64b2o$obo380b2o72b2o248b2o72b2o$bo413bo$
413b2o$414b2o$6b2o513b3o$5bo2bo514bo$6b2o514bo$432bo$433b2o$432b2o$
808b2o$809b2o$808bo5$375b2o88b2o232b2o88b2o$375b2o88b2o232b2o88b2o8$
51b2o88b2o$51b2o88b2o2$bo$obo380b2o72b2o322b2o$obo380b2o72b2o322b2o$bo
$461b3o$463bo$6b2o454bo$5bo2bo$6b2o2$748b2o$749b2o$748bo7$375b2o88b2o
232b2o88b2o$375b2o88b2o232b2o88b2o4$48bo$47bo$46bo2bo3$47bo5b2o83b5o$
53b3o80bo5b2o$bo48bo3b2o79b2o3bob2o$obo45b2o5b2o83bob2o637b2o$obo46bo
4b2o79bobobo3bo257b3o377b2o$bo49b2o7bo73b2ob2obobo260bo227bo$48b2o10bo
67bo5b2o5bo260bo226b2o$60bo63b2o10bo493b2o$6b2o115bo6bo$5bo2bo114bob2o
4b2o437bo$6b2o116bo4bob2o16b2o420bo116b2o$130b2o18bo418b3o117b2o$148b
2obo3b2o531bo$47b2o97b2o3bobobo$47b2o93bo2bo5bobo$141bo3b2ob3obo112bo$
142bobo3bo115bo$143b4o117b3o$144b3o2$162bobo$51b2o88b2o20b2o210b2o88b
2o232b2o88b2o$51b2o88b2o20bo211b2o88b2o232b2o88b2o8$19bo756bo$18bo755b
obo$18b3o754b2o$bo339b3o$obo56b2o72b2o208bo437b2o$obo56b2o72b2o207bo
438b2o$bo3$6b2o620b2o$5bo2bo620b2o$6b2o620bo3$113bo$112bo$112b3o6$51b
2o88b2o232b2o88b2o232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o2$90bo$
91b2o$90b2o5$281b3o$283bo$bo280bo$obo56b2o72b2o$obo56b2o72b2o$bo16$51b
2o88b2o232b2o88b2o232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o7$221b3o
$223bo$222bo2$bo$obo56b2o72b2o$obo56b2o72b2o$bo16$51b2o88b2o232b2o88b
2o232b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o8$54b2o$53bo$52bo3b3o
727bo$bo50bo2b5o725b3o$obo49b2o5b2o723b2ob2o$obo55b2o724bo$bo50b2o$
786bo$55bo730b2o$52b3o83bo646bob2o$137b3o$136b2o2bo$140bo$51b2o86bo
649bo$51b2o82bo653b2o$135bobo$135b2o569b3o$706bobo$705bo2bo70bobo$62bo
642b3o71b2o$63b2o640b3o72bo$62b2o642bo2bo$375b2o88b2o239bo$375b2o88b2o
242bo2$697b2o8bo$59b2o72b2o562b2o9bo72b2o$59b2o72b2o572b2o72b2o5$696bo
$695bobo$bo693bob2o$obo695bo$obo692bobo$bo694bo7$51b2o88b2o556b2o88b2o
$51b2o88b2o556b2o88b2o4$373bo$372bobob2o$371b2o5bo86bo$464bobo$371bo6b
o85bobo$372b2o3bo87bo$373bo4bo83b2o$374b2o3bo82b3ob2o2bo$59b2o72b2o
238bo4b2o83bob3o239b2o72b2o$59b2o72b2o238bob4o84bo243b2o72b2o$372b2ob
2o7bo75bo3b3o2bo$373bo10bo77b8o$374bo9bo64bo12bo$448bobo5$371b2o75bobo
18b2o$371b2o76bo19bo$470bo4$648bo$646b2o$51b2o88b2o232b2o88b2o180b2o
50b2o88b2o$51b2o88b2o232b2o88b2o232b2o88b2o$491bo$492bo$490b3o$200bo$
201b2o$200b2o2$343bo$343bobo$343b2o$789b2o$59b2o72b2o248b2o72b2o248b2o
72b2o7b2o$59b2o72b2o248b2o72b2o248b2o72b2o6bo9$759bo$757bobo$758b2o2$
434bo$432b2o$433b2o$75bo$51b2o22bobo63b2o232b2o88b2o232b2o88b2o$51b2o
22b2o64b2o232b2o88b2o232b2o88b2o2$413bobo303bobo$122bo291b2o303b2o$
123b2o289bo305bo$122b2o4$729b2o$730b2o$729bo$59b2o72b2o248b2o72b2o248b
2o72b2o$59b2o72b2o248b2o72b2o248b2o72b2o17$51b2o88b2o232b2o88b2o232b2o
88b2o$51b2o88b2o232b2o88b2o232b2o88b2o7$669b2o$670b2o$669bo3$383b2o72b
2o$383b2o72b2o13$588bo$586b2o$587b2o2$51b2o88b2o232b2o88b2o84bo147b2o
88b2o$51b2o88b2o232b2o88b2o85bo146b2o88b2o$550b3o$260bo$261b2o$260b2o$
609b2o$283bo326b2o$283bobo323bo$283b2o!

I didn't see how to get a 2R rake to work, though no doubt I shouldn't give up quite yet. 3R definitely seems possible: do a couple of 2-glider collisions near each other with two side puffers, such that the spare glider from the forward rake cleans up the resulting constellation completely.

-- Drat, bother, and humbug: time to write another search utility.

EDIT: I'm also looking into putting together mod-31 slow salvos to build upship streams, starting on the left side with salvo 1_1. The LWSS seeds on that side are the old-style clean ones, which means there's no target left over to continue a slow-salvo construction.

There don't seem to be a whole lot of ways to modify that seed, but here are a few variants with usable leftover ash:

#C block-beehive-snake, block-2beehive, and block-beehive-eater seeds
x = 267, y = 573, rule = B3/S23
265bo$264bo$264b3o89$205bo$204bo$204b3o89$145bo$144bo$144b3o89$85bo$
84bo$84b3o19$17b2o$17b2o3$21bob2o$21b2obo7$15b2o$14bo2bo$15b2o17$17b2o
$17b2o2$22bo$21bobo$21bobo$22bo6$15b2o$14bo2bo$15b2o17$17b2o$17b2o$23b
2o$24bo$21b3o$21bo3$bo23bo$3o21bo$ob2o20b3o$b3o$b3o11b2o$b3o10bo2bo$b
2o12b2o20$b3o$bo2bo$bo$bo$2bobo59$bo$3o$ob2o$b3o$b3o$b3o$b2o20$b3o$bo
2bo$bo$bo$2bobo59$bo$3o$ob2o$b3o$b3o$b3o$b2o20$b3o$bo2bo$bo$bo$2bobo!

The other LWSS recipe leaves a usable honeyfarm, and the HWSS recipe leaves a block with enough clearance that it can be turned into a honeyfarm, or pulled back (2,1) or (1,2) first if necessary. So it looks like everything will work, one way or another... With forerake/backrake pairs available, maybe slow salvos won't be needed much anyway.

The next problem is to figure out a side puffer for the block-2beehive or block-beehive-eater seed, at exactly the right distance from the block trails -- with as low an R-value as possible.
User avatar
dvgrn
Moderator
 
Posts: 4692
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

PreviousNext

Return to Patterns

Who is online

Users browsing this forum: AbhpzTa, Google [Bot] and 2 guests