Sawtooth Discussion Thread

[dvgrn]

This new sawtooth has less than a third of the population of the old one...

Reduced a bit more...

Two of those expensive backrakes to clean up the blinkers if they're not used... seems like a bit much still.

I haven't tried it to see what goes wrong, but wouldn't it work to just shoot down the blinker with one glider, and then suppress that glider with a small c/4o if the blinker has been used? Seems like the fuse burns back plenty quick enough to make that possible.

EDIT: I tried building the following, just to see why the sparser blinker trail was needed. Pretty sure there's no timing that gets the "unwanted blinker" out of the way of the xWSS streams while still presenting the "wanted blinker" to start the fuse burning when it's needed. I think it should work okay with the sparser trail and one of the higher-period rakes.

NOT-WORKING TRIAL REBUILD:

Code: Select all

x = 538, y = 254, rule = B3/S23
311bo$309b3o$308bo$308b2o3$321bo$319b3o$318bo$318b2o$308b3o$295b2o10b
o3bo4bo$295bobo8bo5bo2b3o$297bo9bo4bob5o$270bo26b2o9bo3b3o3b2o$270b3o
37b5o3b3o4bo$273bo21b4o3bo7b5o3b2o3b3o$272b2o21bo2b2ob3o2b3ob3ob6o2bo
$296bo2b6ob3ob3o2b3ob2o2bo$293b3o3b2o3b5o7bo3b4o$260bo32bo4b3o3b5o$260b
3o36b2o3b3o3bo9b2o$263bo36b5obo4bo9bo$262b2o8b2o27b3o2bo5bo8bobo$302b
o4bo3bo10b2o$271bo2bo10b2o21b3o$271b3o10bobo12b2o$265bo18bo15bo$264b3o
16b2o12b3o$256bo6bo3bo3bo25bo$256b3o5b3o4bo2bo8b4o$259bo5bo4bo3bo8bo2b
o30bo$258bo2bo8bo3bo4bo5bo30bo2bo$258b4o8bo2bo4b3o5b3o24bo2bo2bo$273b
o3bo3bo6bo23bo3bo4bo$260b2o16b3o21bobo6bob3ob5o$260bo18bo22b2o7bo4bob
o$258bobo10b3o29bo4b2obob2obobob2o$258b2o10bo2bo34bob2obob2ob2obo2$271b
2o8b2o$281bo38bo$282b3o33b3o$284bo32bo$318bo$315bob2o$263b3o48b2o$262b
3o2bo9bo52bo$260bo2bo4b2o8bo49b3o$260b3o2b4obo5b3o48bo$263bo6bo56b2o$
260b2obobob2obob2o$260bob2ob2obob2obo11bobo16b2o6bobo$285b2o17bobo7bo
$286bo19bo3bo$306b2o2bo$320b3o11bo$272b3o29b4o3bo8bobo9b3o$274bo29bo2b
o6bo5bo3bo6bo$273bo31bo6bo3bo5bo6bo2bo$302b3o9bobo8bo3b4o$302bo11b3o$
248bob2ob2obob2obo60bo3bo2b2o$248b2obobob2obob2o61bo2bo3bo$251bo6bo66b
o4bobo$248b3o2b4obo72b2o$248bo2bo4b2o164bo$250b3o2bo52b2o112b3o$251b3o
55bo9bo105bo$257bo48b3o9bo105b2o$256b3o47bo11b3o$255bobobo12bo$255bob
obo10b3o139bo$256b3o10bo55b3o84b3o$257bo11b2o52bo2b3o86bo$321b2o4bo2b
o9bo73b2o8bo$246b2o72bob4o2b3o7b3o82b3o$246bobo10b3o58bo6bo9bo78b3o3b
5o10b2o$248bo5b2o2b2obo19b2o11bobo22b2ob2obobob2o6b2o76bo3b4o3b2o8bob
o$248b2o5b2o3b2o19b3o9bob2o23bobob2ob2obo83bo6b2o3bo9bo$256bo19bo3bob
2o9bo26bobo90bo3bo17b2o$246b4o10bo13b3o3b3o6bob2ob3o19b2o3b2o27bo57bo
4bo2bobo4b2o$246bo2bo9bobo11bo7bo7b2obobo2bo14b2o2bobo29b3o57b3o6bo8b
o3b3ob5o$247bo11bobo9bo2bo21b2o14bobobo2bo27bo63bo13bob3o8bo$244b3o13b
o10b4o39bobob2o27b2o61bo8b3obo13bo$244bo19bo37bo10b2obo24bo68b5ob3o3b
o8bo6b3o$259b2o3b2o5b2o25bo2bo14bob2o4b2o13b2ob2o80b2o4bobo2bo4bo$259b
ob2o2b2o5bo24bob5o12bobo2bo2bobo12b2o2bo68b2o17bo3bo$259b3o10bobo21bo
2bo11b2o4bo2b2o4bo13b2ob2o67bo9bo3b2o6bo$273b2o22b2o11bo2bo12b2o10bo3b
obo65bobo8b2o3b4o3bo47bo6b2o$311b2o4bo2b2o15b3o3b2o9bo55b2o10b5o3b3o46b
3o6bo$250b2o11bo30b2o20bobo2bo2b4o8bo2bo12b3o68b3o52bo7bobo$251bo10b3o
28bobo20bob2o4bo2bo8b5o10bo72bo8b2o42bobo6b2o$248b3o10bobobo27bo19b2o
bo8bo10b5o8bo2bo80bo41b5o32b2o$248bo12bobobo26b2o4b2o14bobob2o2b3o12b
o2bo8b4o81b3o38b3o30b2o2bo$262b3o34bo12bobobo2bo2bo9b2o3b3o96bo53b2o12b
o3bobobo$261b3o32b3o6b2o5b2o2bobo13bobo3bo10b2o139bo11b3o6bo$260b2o34b
o8b2o9b2o14b2ob2o13bo132bo4bobo10bo$261bo35b2o34bo2b2o12bobo62b3o57bo
6b3o3b2o11b2o11b2o$258b3o37bo34b2ob2o13b2o60bo2b3o48bo7bobo3b5o20b3o4b
o2bo$258bo39bobo34bo67bo8bo4bo3bo44b3o6b2o3b2o3b2o21bo4b2obo$299b2o27b
2o73b3o6b4o2b3obo8bo25b2o6b5o11b5o4b2o14bo9b2o$313b2o14bo76bo10bo4bo6b
obo24bo2bo4b2o3b2o3b2o6b3o5bo2bo12bobo4b2o2bo$313bobob2o7b3o76bo6b2ob
obob2ob2o6b2o14bobo8b2o2bo3b5o3bobo7bo5bo4bo5b2o3b2o5bo2b2o$315bobo8b
o78bo3bo2bob2ob2obobo23b2obo9b2obo3b3o6bo14bo3bo3b2obo4bo4bob2o$314b2o
bo19bo82bobo26bo7b2o2bo5bo22bo3bo3bo13bo2b2o$306b2o9bob2o14b2o9bo46bo
12bo3bo9b2o3b2o19b3ob2obo2bo2b2o30bobo4b3o13bo2bo$306b3o5b4o2bo15b2o6b
o2bo45b3o10bo3bo13bobo2b2o14bo2bobob2o2b2o34bo11bo10b2o$305bo2bo5bo3b
2o24bo2bo48bo26bo2bobobo14b2o10bob2o12b3o20b3o4bobo$305b3o7b3o23b2o4b
o2bo44b2o10b3o13b2obobo28bo2bo10b5o22bo3bo3bo$305b3o9bo22bob5ob3o75bo
b2o6b3o19b2o11bobo10b2o9bob2o3bo3bo$317bobo20bo4bobo57bo12b2ob4obo9b3o
5bo27bo10bobo9b2o5bo4bo$281b2o35b2o17b2obob2obobob2o53bob2o9bobobo2bo
bo7bo4bo3bobo16bo6b3o11bo19bo2bo$281b3o53bob2obob2ob2obo25b2o25bo3bob
3o5bo7bo4b9o4bo2bo14bobobo3bo12b2o5bo15b2o$280bob2o92bo27b3ob2obo4b2o
11bo6b2o6b2o15bo2b2o22bo$280b3o85b2o3b2obo12bo14b2o3b2o14bo4b6o2bo21b
2o26b3o$281bo86bo4bobo13b3o13bo10b4obo2bobo7bob2obo7b2o45b2o$302b2o50b
2ob2o10b3obo11b2o5bo11bobo9bo2bob4obo9b2obo7bobo45bo$302bo52bobo13bob
2o10bo5bo2bo9bobo11bo7bob2o8bo10bo42b3o$303b3o48bo2bobo23bobo5b4o10bo
13b3ob2obobo14b2o4b2o41bo$305bo48b3ob3o22b2o15b2o3b2o14bobo2bobobo12b
o$303b2o54b2o32b2o4bob2ob3o17bobo2b2o5b2o6b3o$303bo16bo33b2obo2bo32bo
5b3obo3bo17b2o9b2o8bo33bo$300b2obo14b2o34bo2bo33bobo9b2obo37b2o34bobo
$300bob2ob2o12b2o34bobobo4b3o24b2o12bo38bo35b2o$304bobo45b4ob2o4bob5o
b2o69bobo$304bo36b2o3b2o4bo5bo4bo3b2obo2bo27b3o10b2o26b2o$303b2o21b2o
13bo5bo5b5o6b4o2b5o16b2o21bo13b2o$321b2o2bobo10b2obo5bob2o4bo8b3o2b6o
3b2o11bo8bo3bo10b3o6b2obobo$306bo14bo3bo4bo6bobob2o3b2obobo17b2obo4bo
b2o8bobo8bo3bo12bo7bobo9bo$306bobo13b3ob5o5bo6bobo6bo17b2o3b6o2b3o3b2o
34bob2o8b2o33bo$306b2o16bobo9b7o3b7o22b5o2b4o11bo3b3o18b2obo10bobo32b
o$324bobob3o45bo2bob2o3bo8bo2bo23bo2b3o43b3o$325b2obo2bo6b3o7b3o26b2o
b5obo8bo2bo2bo21b2o$330b2o5bo2bo3bo3bo2bo31b3o7bo4bo3bo22b2o$307bo29b
2o4bobo4b2o41b5ob3obo21bo5bo55bo6b2o$306bo36bobo50bobo4bo19bobo3b2o2b
o51b3o6bo$306b3o35bo48b2obobob2obob2o16b2o3bobo2bo50bo7bobo$365b2o26b
ob2ob2obob2obo20bo56b2o6b2o$303bo27b3o30bobo65b2o29bo54b2o$301b2o27b2o
3bo14bo13bo10b2obo52bo3bo27bobo48b2o2bo$302b2o4b2o19b2o2bobo14bobo10b
2o11bob3o48bo2b2obo27b2o31b2o12bo3bobobo$309bo3b2o15bo5bo13b2o22bobo4b
o35bobo11bo3bo3b2o47b3o5bo11b3o6bo$306b3o3bobo16b2o2bo37bob2o3b2o36b2o
11bobo6bo46bo3bob2obo10bo$306bo2b4obobo18bo37bo44bo12b3o3b3o32b3o11bo
8bo11b2o4b2o5b2o$85b3o221bo5b2o55b2o63bo33bo3bo5bo3bo3bo24b2o3bo2bo$281b
2o6bo20bo127b2o30bo5bo8bo2bobo3bo19bo4b2obo$82b2ob3o193b3o5bobo17b2o21b
2o105bo15bo7b2o4bo3bo3bo7bo3bo3bo18b2o8b2o$81bobob2o9b2o2b2obobo174bo
b2o5b2o41bo5b2o5b2o92bob2o11bo7bo2bo2bo3bobo2bo8bo5bo4b3o5b2o5b2o5b2o
2bo$77bo2bo4b2o3b3o2bo7bob2obo136bo34b3o50b3obobo4bo2bo88b2ob2obo11b3o
6b2o2bo5bo3bo3bo5bo3bo6b3o3bo2bo5bo4bo2b2o$77b2obo8b3o2b2o12bo134b4o34b
o53bobo6bobo3b2o84bobo26b2ob2o6bo11b3o10bobo3bo4bo4bob2o$77bo2b2o3b2o
2bob2ob2o5b2o139b2o92b2o7bo4bobob2o82bo24b2o2bo3bo3bo24b4o2bo11bo2b2o
$80bo2bo2bo3bo5b5o137b2obobo11bo9bobo22bo50b2o9bobo83b2o22bo2b2o5b3o21b
5ob4o4bo9bo2bo$81b2o4b6o143bo4b2ob2o4bo4b2o4b3obobo21bo52bo8b2o2bo106b
2o33b3o3bobo3b3o9b2o$87b2o147bo7bo3b3obo3b5obo4bo21b3o47b3o11b2o108bo
b2o31bo4b4ob5o$236bobob2o3b2o5b3o7bo76bo11b2o110bo2bo35bo2b4o$239b2ob
o4bo2b2obobo5bo24bo65bo93bo17b2o11b2o11b2o9bo3bobo$241bo3b3o2b3o31b2o
65bo94bobo29bo10bobo9bo2bo3b3o$57b2o191b2o6bo26b2o64b2o93b2o20bo6b3o11b
o12b2o5b3o7b2o3bo$10bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o346bobo30bob
obo3bo12b2o27b3obobobo$11bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo165b3o
177b2o30bo2b2o23bo20bo4bobobo$8b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6b
ob2o4bobo3b2o2bo2b2ob2o2b2obo166bo17bo2bo30bo2bo30bo2bo30bo2bo30bo2bo
20bo30b2o25b2o21bobobobobo$8bo2b2o2bo2bo12b2o4bobobobob2ob2obo2b4obo2b
o2bob3o2bo4bo3bo6bo167bo17bo33bo33bo33bo33bo30b2o51b2o4b2o9bo5b2obobo
$b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o2b3o2bobob2ob2o
185bo3bo29bo3bo29bo3bo29bo3bo29bo3bo26b2o58bo9b3o7bobo$4obob3ob4o2bob
o3bo6b2o3bo2bo8bob2o3b2obo10bo2bo2bobo6bobo2bo3bo3bo171bo5b4o30b4o30b
4o30b4o30b4o84b3o13bo7bo$o2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6bo
2bob2ob3o4bo3b3o4b2o2b3o170b3o227bo14bo$ob11obo3b5o3bo5b2o3b2o4bobo4b
o2bo9bo3b2o4b2o5b3o3bo4b2ob2o2bo5bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7b
o7bo7bo7bo7bo34b2o2bo240bo$bo14b3o5bobo3bo3bo8bo3b2ob3o8b2o4b2o7b2o8b
o2bob2ob2ob3o4bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo36bo2b
o239b2o3b2o$ob11obo3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo4b2ob2o
2bo5bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo34b2o2bo29b2o32b
2o32b2o32b2o32b2o32b2o16b2o25b2o10b3o$o2bobo7bo2b2obo4bobo3bo2bo4bo7b
obo5b2o2bo6bo2bob2ob3o4bo3b3o4b2o2b3o170b3o5b3o4b2o15b4o13b2o15b4o13b
2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o11bo2b3o27bob3o4b5o$4obob3ob4o2b
obo3bo6b2o3bo2bo8bob2o3b2obo10bo2bo2bobo6bobo2bo3bo3bo171bo7bo5b2ob2o
12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2o
b2o12b2ob2o12b2ob2o11b3o33b2o3b2o2b2o$b2o3b2o2bob2ob2o3b2o2bo12b2o2b2o
bob3o5bo6bo2bobobob3o2b3o2bobob2ob2o188bo5b4o13b2o15b4o13b2o15b4o13b2o
15b4o13b2o15b4o13b2o15b4o13b2o14b3o24b2o10b2o$8bo2b2o2bo2bo12b2o4bobo
bobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo195b2o32b2o32b2o32b2o32b2o32b2o
58bo11b4o$8b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2o
b2o2b2obo423bobo10b3o$11bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo425b2o4b
2o5bo$10bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o202bo230bo$57b2o164b3o64b
3o228b2obo2bo$225bo59b2o6bo204b2o22bobobobo$224bo60bobo4b2o204bobo22b
o2bob2o$124bo133b2o25bo212bo30bo$87b2o35bo134bo2b2o258bo5b2o4b2o$81b2o
4b6o29bo136bobobo3bo12b2o13bo6bo178b2o38b3o10bobo$80bo2bo2bo3bo5b5o19b
2obobo134bo6b3o11bo12b3o5bo177bobo38b4o11bo$77bo2b2o3b2o2bob2ob2o5b2o
16bobo7bo4bo5bo2b2o125bo10bobo9bobobo3bo180bo41b2o10b2o$77b2obo8b3o2b
2o12bo6b5o2b3o2bo2bob2o6bo2b3o61b3o46b2o11b2o11b2o18b2o209bo5b2o2b2o$
77bo2bo4b2o3b3o2bo7bob2obo5b3obo8bo6bo5bo4bo63bo45bo2bo30b5o8b3o208b3o
3b5o$81bobob2o9b2o2b2obobo9b2ob2o3b2o2bo2b3o2b5o68bo46bob2o6bo26bobo7b
obo165bo35b3o7bo3b3o9bo$82b2ob3o30bo4b2o6bob7o114b2o3bo5b2o21bo2b2obo
3bob2o2bo8b2o153b3o35bo8b2o$119b2o3bo3b2o5b3o116bo2b3o4bo2bo13bo6bobo
7bobo11bo2bo151bo39bo26b2o$85b3o37bo2b2o17bo5b2o10bobo87b2o3bo6bo12b3o
5b3o8b5o6bo2b2o152b2o48b3o14bo$146bobo3bo11b3obo88b3obo2b2o2b2o9bobob
o5b2o18bob2o159b3o26b2o13bo3bo7b2o5b3o$146bo2bob2o2bo7b2o90b2o2bob2ob
2o4bo8bo2b2o7bo3bobobo10bo2b2o159bo22b2o2bo13bo5bo6bo8bo$146bob3obo2b
ob2o4bo27b3o60bo2bo3b2obobo2b3o5b2o3b3o5bo5b3o12b2o2bo140b2o15bo5b2o12b
o3bobobo13bo5bo7b3o$80bo14b2o27bo23bo5bo2b6o2bo27bo61b2o3b2ob3o4bo5bo
4b3o6bo6bo16b2o140bo2bo19bo11b3o6bo14bo5bo9bo$68bo10bob2o11bo2bo4b2o10b
3o6b2o20bo2b2o7b2o3bo6bo2b2o18bo69b3o3b2o5b3o2bobo22bobo3b2obo140bo4b
o5b2o9bobo10bo16b2o7bo3bo$47bob2o5bo9b2o15b2o5b2o3b4o3b3obo7b2o2bob2o
5bo17b2obo3b3o3bo3b2o5bo2b3o88b2o2bo8bo4b2o22bo2bo2bo2bo141bo3bo3b2ob
o9b2o10bobo11b2o3bo8b3o$46b2o6b2obo10bo6b5obo4b3ob2obo3b4o4bobo3bo3b2o
b2obobob2o18bo2bo2bobo2bo6b2o4bo4bo88bobobo9b2o2b2o3b2o11b2o4b3o4b2o142b
o3bo3bo22b5o10bo2bo2bob2o$46bo5b2o2b6o12bo2bobobo7bob4obo3b2obo6bob2o
b2o6b2o24bo9b2o4b4o95b3o12bo6bobo10bo6b2o149bobo4b3o20b3o12b2obo3bo$38b
o2bo2bo3bo4b6o9bobo3b2ob6o8bo3b2o6b2o3bob2obobo3b9o22b2o9bo3b4o96bo13b
o2bo5bo11b3o4bobo136b2o10bo11bo34b2o$38bo2bobob5o5bobo3b3o4b2o6b2o5bo
3bo3bo2bo8bo2bo8bo3bobo4bo2b2o2b3o30bo113b2o6b2o12bo3bobobo134bo2bo13b
3o4bobo30b2o2bo6bo2bob2obo$37b2o14b3o3b3obo4bo2b2o3b2o6b3obo2bob2o11b
ob2o8bob3ob2o6bo2bo39b3o103bo24b2o2bo135b2o2bo13bo3bo3bo22bo5bo2b2o5b
2o4b2ob2o4b2o$38bob2ob9obo4b2obo2b2o3b4o2b2o5bobobobob3o7bo3bo5b2o2bo
3b2o4b2o11bo39bo132b2o136b2obo4bo4bob2o3bo3bo14bo6b3o3bob2o13bob2obo2b
o$38bo14bo7bo2b2o3bo2bo7b2o2bo3bob2o8b2o2bo2bo5bo9b3o9bobo3b3o5b3o5b3o
16bo99b2o6b2o160b2o2bo5b2o3b2o5bo4bo5bo7bobo3b5o3bo2b2o$38bob2ob9obo4b
2obo2b2o3b4o2b2o5bobobobob3o7bo3bo5b2o2bo3b2o4b2o11bo138bo7bobo158bo2b
2o4bobo12bo2bo5b3o6b2o3b2o3b2o4bo2bo22bo$37b2o14b3o3b3obo4bo2b2o3b2o6b
3obo2bob2o11bob2o8bob3ob2o6bo2bo141b3o6bo158b2o9bo14b2o4b5o11b5o6b2o21b
2obo$38bo2bobob5o5bobo3b3o4b2o6b2o5bo3bo3bo2bo8bo2bo8bo3bobo4bo2b2o2b
3o143bo6b2o158bob2o4bo21b2o3b2o3b2o6b3o22b3o8bo$38bo2bo2bo3bo4b6o9bob
o3b2ob6o8bo3b2o6b2o3bob2obobo3b9o318bo2bo4b3o20b5o3bobo7bo22bo3bo7b2o
$46bo5b2o2b6o12bo2bobobo7bob4obo3b2obo6bob2ob2o6b2o322b2o11b2o11b2o3b
3o6bo29bo5bo$46b2o6b2obo10bo6b5obo4b3ob2obo3b4o4bobo3bo3b2ob2obobob2o
14bo17b3o299bo10bobo4bo37bo5bo$47bob2o5bo9b2o15b2o5b2o3b4o3b3obo7b2o2b
ob2o5bo13bo19bo289bo6b3o11bo44bo5bo$68bo10bob2o11bo2bo4b2o10b3o6b2o15b
obo17bo289bobobo3bo12b2o45bo3bo8b2o$80bo14b2o27bo15bo309bo2b2o30b3o31b
3o10bo$140bo308b2o32b5o43bo$144bo330b2o6bobo36bo7bo$143bobo328bobo7bo
36bobo7b3o$143bobo328bo6b3o38bobob2o5bo$143b2o328b2o6bo38bobobobobo$142b
o376bobobo4bo$141bob2o374bobobob3o$141bob2o375bo3b2o$140bo2b2o$143bo$
95b2o44b2o$48bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o$49bo7bo9bo12b2ob2o
5bo4b2o6bo10b2o5b3o3bo$46b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o4b
obo3b2o2bo2b2ob2o2b2obo$46bo2b2o2bo2bo12b2o4bobobobob2ob2obo2b4obo2bo
2bob3o2bo4bo3bo6bo$39b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobo
bob3o2b3o2bobob2ob2o2bo$38b4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10b
o2bo2bobo6bobo2bo$38bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6bo2bob
2ob3o4bo3b3o4bo$38bob11obo3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3b
o4bo2b3o6bo7bo7bo7bo$39bo14b3o5bobo3bo3bo8bo3b2ob3o8b2o4b2o7b2o8bo4bo
2bobo6bo7bo7bo7bo$38bob11obo3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o
3bo4bo2b3o6bo7bo7bo8bo$38bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6b
o2bob2ob3o4bo3b3o4bo$38b4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10bo2b
o2bobo6bobo2bo$39b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o
2b3o2bobob2ob2o2bo21b2o8bo3b3o$46bo2b2o2bo2bo12b2o4bobobobob2ob2obo2b
4obo2bo2bob3o2bo4bo3bo6bo22b2o3bo5bobobo3b2o$46b2ob2o3b2obo2b2o5bo7b2o
bo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2obo17bo2b2o4bo3b2o14bo$49bo
7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo16b2o3bo2bob3o2b2o2bobo4bob2obo$48b
o18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o20bo2b4o2b2o2b2ob3o3bobobo$95b2o51b
o2b2obo2bo2bo3b2o$147b2obobo2bobo5bo$146b2o3bo2b2obo5bo3bo$146bobo4b2o
9bo3bo$125b2o20bo5b2o10b2obo$119b2o4b6o$118bo2bo2bo3bo5b5o$115bo2b2o3b
2o2bob2ob2o5b2o$115b2obo8b3o2b2o12bo$115bo2bo4b2o3b3o2bo7bob2obo$119b
obob2o9b2o2b2obobo$120b2ob3o2$123b3o!

[dbell]

Here is a smaller version of the blinker-pull sawtooth using the new two-engine period 64 back rake.

Code: Select all

#C An anchored blinker-pull sawtooth with a minimum population of 8204.
#C This uses smaller period 64 backrakes than the previous sawtooth.
#C This uses a LWSS gun made of period 68 glider guns and edge shooters.
#C Half of the LWSSes in one stream are inserted using a four-glider
#C one-sided synthesis.  The other half of the LWSSes are inserted
#C using a reaction between a LWSS and three gliders.  The LWSS stream
#C guns were improved over the previous version by user Jormungant.
#C The emitted LWSS streams reach a period 64 c/4 convoy which creates
#C temporary blinkers.  One of the blinkers initiates the blinker-pull
#C reaction. The burning is stopped by a glider from a period 34
#C glider gun, allowing a new set of LWSSs to emerge.  This sawtooth
#C uses the maximum possible LWSS density for a blinker-pulling fuse.
#C The fuse burns at 8c/18 (0.4444c).  Only some of the cycles reach
#C the minimum population.
#C David I. Bell, 22 March 2026
x = 746, y = 251, rule = B3/S23
519bo$517b3o$516bo$516boo3$529bo$527b3o$526bo$516bo9boo$516boo$503boo
10boobo$503bobo11boo$505bo$478bo26boo16b3o$478b3o36boo3bobbo7bo$481bo
21b4o8b4o4b3o5b3o$480boo21bobbo8boo13bo$504bo13boo8bobbo$501b3o5b3o4b
4o8b4o$468bo32bo7bobbo3boo$468b3o38b3o16boo$471bo57bo$470boo44boo11bob
o$477bo38boboo10boo$477bob3o11boo22boo$480bo11bobo12boo9bo$480boboo8bo
15bo$474boo7bo7boo12b3o$464bo8b3obbo4bo21bo$464b3o7boobo5bo7b4o$467bo
9bo5bo7bobbo30bo$466bobbo7bo5bo9bo29bobbo$466b4o7bo5boboo7b3o16bo9bobb
o$477bo4bobb3o8bo14boo7boo4bobbo$468boo7bo7boo25boo5bob5ob3o$468bo8boo
bo38bo4bobo$466bobo11bo35boobobooboboboo$466boo11b3obo32boboobobooboob
o$483bo$489boo$489bo38bo$490b3o33b3o$492bo32bo$525boo$$471b3o10bo$469b
obb3o7bobo38bo14bo$468bo4bo3bo5boo37bobo11b3o$468b4obb3obo42booboo9bo$
473bo4bo17bo26bo11boo$468boobobobooboboo12boo$468boboobooboboobo13boo
15boo$512bobo7bobo$514bo5boo3bo$514boo4bobo3bo$520bobooboo15bo$512b4o
5bo18b3o$479boo31bobbo6boo4boo9bo$478bobo32bo9boo4boo6bobbo$480bo29b3o
18bo5b4o$510bo15booboobo$456boboobooboboobo56bo3bobo4boo$456booboboboo
boboo57bo3boo5bo$461bo4bo61bobo7bobo$456b4obb3obo72boo$456bo4bo3bo164b
o$457bobb3o53boo10bo101b3o$459b3o55bo10bobo102bo$514b3o11boo102boo$
514bo$465bo14bo$464bobo11b3o139bo$463boobbo9bo55b3o84b3o$463bobbo10boo
53b3obbo85bo$462b4o22boo39bo3bo4bo9bo73boo8boo$454boo8bo22b3o38bob3obb
4o7b3o$454bobo30boobo37bo4bo11bo85bobbo10boo$456bo10boo19b3o11bobo22b
oobooboboboo6boo84b3o10bobo$456boo6b3oboo19bo11boboo23bobobooboobo86bo
18bo$464b3obo15bo16bo26bobo93b3o16boo$454b4o9boo13b3o12boboob3o19boo3b
oo27bo57bo6bo3bo3bo$454bobbo23bo15boobobobbo14boobbobo29b3o57b3o5b3o4b
obbo8b4o$455bo23bobbo21boo14bobobobbo27bo63bo5bo4bo3bo8bobbo$452b3o13b
oo9b4o28bo10boboboo27boo61bobbo8bo3bo4bo5bo$452bo15bob3o38bobo7boobo
93b4o8bobbo4b3o5b3o$467boob3o6boo25bo4boo11boboo4boo99bo3bo3bo6bo$468b
oo10bo24bobo16bobobbobbobo85boo16b3o$480bobo21bobbo11boo4bobboo4bo13b
3o69bo18bo$472bo8boo22boo11bobbo12boo12bobbo66bobo10b3o55bo6boo$471b4o
44boo4bobboo17bo3bo10bo55boo10bobbo53b3o6bo$458boo10bobbo28boo20bobobb
obb4o11bo4bo7b3o123bo7bobo$459bo9bobboo27bobo20boboo4bobbo5boo4bo3bo7b
o71boo8boo43boo6boo$456b3o11bobo28bo19boobo8bo7bo3bo4boo5bobbo80bo78b
oo$456bo14bo28boo4boo14boboboobb3o7bo4bo11b4o81b3o39boo30boobbo$330bo
176bo12bobobobbobbo10bo3bo98bo33bo5bobo11boo12bo3bobobo$330bo173b3o6b
oo5boobbobo14bobbo12boo116bo3bo6bo11bo11b3o6bo$328bo139boo34bo8boo9boo
16b3o13bo119bo5bo11bobo10bo$326boobobo137bo35boo51bobo62b3o58b3o3bo5b
oo11boo12bo$325bobo7bo4bo5bobboo115b3o37bo52boo61b3obbo9bo36bo15boo29b
oobo$321b5obb3obbobboboo6bobb3o114bo39bobo102bo8bobbo4boo8bo53bo20boo
6boobo$320b3obo8bo6bo5bo4bo155boo27boo73b3o6b3obb4obo5b3o26boo7bobo13b
obo19bobo9boo$321booboo3boobbobb3obb5o175boo14bo76bo8bo6bo33bobbo6bo
23boo14bo6boobbo$324bo4boo6bob7o167bo7boboboo7b3o76boo5boobobobooboo
22bobo8boobbo5boo15bo5boo10bo9bobboo$325boo3bo3boo5b3o168b5o6bobo8bo
10bobo72bobooboobobo23boobo9boobo5bo3b3o15bobo8bobbobbobo3boo$331bobb
oo181bo4boobo19boo81bobo26bo7boobbo12bo5bo10boo8bo5boobboobboo$525bob
oo17bo7bo46bo14bo11boo3boo19b3oboobobbobboo11bo6bo3bo16bo13bobbo$344bo
167bo3bo5b4obbo24bobbo44b3o11boboo13bobobboo14bobboboboobboo14bobo5bo
13boo5boo12boo$343b3o167b3o6bo3boo22bobbobbo47bo9booboo12bobbobobo14b
oo10boboo5b3o4boo21bo$342bobboo141boo33b3o23bo3bo4bo44boo10bo15boobobo
28bobbo6boo26bo8boo$286boo13boo18bo7boo11booboo140b3o35bo22bob3ob5o57b
obbo14boboo28boo11boo11boo6bobbo8bobo$273bo12b4o10bo3bo3bobo9bobo6boo
10b3o143boobo34bobo20bo4bobo60boo8boob4obo45bo10bobo8bo10boo$252b3o6b
oo10boo7boobobobo3bob4oboo5boob3o11bobooboboo9boobo142b3o35boo17boobob
ooboboboo66bobobobbobo11boo3boo17bo6b3o11bo6bo14boo$252b3o4b3o3boo6bo
7b3obobbo4boo4bo6bo4boo4b3o4booboboboo10bobbo9bobo130bo55boboobobooboo
bo25boo26b5o8bo7bo4boo4boobo3boboo14bobobo3bo12boo6bobo$251boo5bo6boo
8bo4bo12b3o3boobobob4o5boobbo3boo8bo23boo225bo27bo4bo6boo11bobbo3bo24b
obboo24boo$248bobo3boobboo14bo5boo3boboo8bo4bo6boo4b3obobo3bobo4boo10b
obo10bo218boo3boobo12bo19bo15bo4boo4bobo5bo15boo$244boobbob6o7bobobobo
3booboo7b9obbooboo8b3obbobo3bo3bo8bo6bobo233bo4bobo13b3o13b4o7b4obobbo
bo10b3o8bo45boo$243booboobo8booboobbo3bo4bo3bo11boboboo3boo10boboboo7b
obb4obo7bobo167boo50booboo10b3obo11boo5bo23bobbob4obo19boobo45bo$244bo
5b7obbo4boobobobobboo3bob3o3bobbobobo4bo6boo3bob4o7b5o3bo8bo3bo164bo
52bobobo11boboo10bo5bobbo23bo7boboo19bo42b3o$243boo14boo6b3obbobo4bo7b
oobo3bo10b3ob3o6b3o8bobbo12bo165b3o48bobbo25bobo5b4o7b4o13b3oboobobo
14boo4boo41bo$244bo5b7obbo4boobobobobboo3bob3o3bobbobobo4bo6boo3bob4o
7b5o3bo8bo3bo167bo48boobobbo22boo16bo19bobobbobobo12bo38bo$243booboobo
8booboobbo3bo4bo3bo11boboboo3boo10boboboo7bobb4obo7bobo29bobo136boo15b
obo36boo32boo6bo4bo17bobobboo5boo6b3o34bo$244boobbob6o7bobobobo3booboo
7b9obbooboo8b3obbobo3bo3bo8bo6bobo30boo136bo16boo32b3ob3o6bo25bo8b5o
18boo9boo8bo34b3o$248bobo3boobboo14bo5boo3boboo8bo4bo6boo4b3obobo3bobo
4boo8boo3bo25bo134boobo17bo32bobbobo6bobo22bobo50boo$251boo5bo6boo8bo
4bo12b3o3boobobob4o5boobbo3boo8bo13bo160bobooboo48bobo7bo25boo8boo41bo
$252b3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b3o4booboboboo9bo169bobo45b
4obo8bobboo28bobbo39bobo$252b3o6boo10boo7boobobobo3bob4oboo5boob3o11bo
booboboo10boo167bo36boo3boo4bo5bo7b3obbo31bo10boo26boo$273bo12b4o10bo
3bo3bobo9bobo6boo11bobobobbo39boo120boo3bo17boo13bo5bo5b5o8b3obboo18b
oo7booboo9bo13boo$286boo13boo18bo7boo13bo3bo166bo13boobbobo10boobo5bob
oo4bo10bo4boo11boo5bo8boobo11b3o6boobobo$344boboo11bo15bo139b3o11bo3bo
4bo6boboboo3boobobo12b3o4boo4boo4b3o3bobo10bo14bo7bobo45bo$344boo13bo
15bo154b3ob5o5bo6bobo6bo11boo11boo4bo5boo34boboo44bobo$359bo15bo156bob
o9b7o3b7o24boobb3o13bo24boobo9boo36boo$284bo14boo27bo203bobob3o47bobb
3o12bobbo22bobb4o7boo$272bo10boboo11bobbo4boo10b3o6boo204boobobbo6b3o
7b3o28boobbo12bobbo23boo3bo6bo$251boboo5bo9boo15boo5boo3b4o3b3obo7boo
bboboo5bo186b5o15boo5bobbo3bo3bobbo32bo8bobbo4boo22b3o$250boo6boobo10b
o6b5obo4b3oboobo3b4o4bobo3bo3boobooboboboo186boo4bo21boo4bobo4boo29bob
o9b3ob5obo21bo4b3o54bo6boo$250bo5boobb6o12bobbobobo7bob4obo3boobo6bob
ooboo6boo187bo6bo27bobo36bo13bobo4bo19bobo4b4o51b3o6bo$242bobbobbo3bo
4b6o9bobo3boob6o8bo3boo6boo3boboobobo3b9o72bobo109bob4o30bo48boobobob
ooboboo16boo4bobboboo29bo18bo7bobo$242bobbobob5o5bobo3b3o4boo6boo5bo3b
o3bobbo8bobbo8bo3bobo4bo74boo104bobo3bo42bo12boo26boboobooboboobo22bob
ooboo28bo19boo6boo$241boo14b3o3b3obo4bobboo3boo6b3obobboboo11boboo8bob
3oboo75bo105boo29bo16bo12bobo62bo4bo29b3o51boo$242boboob9obo4boobobboo
3b4obboo5bobobobob3o7bo3bo5boobbo3boo4boo5boo175bo28bo17b3o10bo10boobo
37bo14bobbo46b3o30boobbo$242bo14bo7bobboo3bobbo7boobbo3boboo8boobbobbo
5bo9b3o5b3o5b3o5b3o5b3o5b3o146boo22boo7boo20boo11bob3o36boo12b3o62boo
12bo3bobobo$242boboob9obo4boobobboo3b4obboo5bobobobob3o7bo3bo5boobbo3b
oo4boo5boo180bo3boo18boo39bobo4bo34boo21boo55bo11b3o6bo$241boo14b3o3b
3obo4bobboo3boo6b3obobboboo11boboo8bob3oboo158boo24b3o3bobo19bo5bobo
30boboo3boo58bo42bo10bobo10bo$242bobbobob5o5bobo3b3o4boo6boo5bo3bo3bo
bbo8bobbo8bo3bobo4bo39bo116b3o9bo14bobb4obobo24bo31bo63b3o41boo5boo4b
oo11boo11boo$149bo92bobbobbo3bo4b6o9bobo3boob6o8bo3boo6boo3boboobobo3b
9o22boo9bo3b4o114boobo7bo18bo5boo55boo63bo44boo3bobbo21bo6bobbo$147b4o
99bo5boobb6o12bobbobobo7bob4obo3boobo6bobooboo6boo24bo9boo4b4o115b3o7b
3o17bo127boo16bo16bo13booboo20boo5boobo$146boo102boo6boobo10bo6b5obo4b
3oboobo3b4o4bobo3bo3boobooboboboo18bobbobbobobbo6boo4bo4bo110bo27boo
21boo105bo16bobo4boo7bobo13bobo20bobo8boo$142boobobo11bo9bobo79boboo5b
o9boo15boo5boo3b4o3b3obo7boobboboo5bo17boobo3b3o3bo3boo5bobb3o161bo5b
oo5boo92boboo13boo4bobbo5booboo13bo6boo21boobbo$140bo4booboo4bo4boo4b
3obobo100bo10boboo11bobbo4boo10b3o6boo20bobboo7boo3bo6bobboo163b3obobo
4bobbo88booboobo20boobbo4bobbo3boo14bobboo7bo5bo4bobboo$140bo7bo3b3obo
3b5obo4bo112bo14boo27bo23bo5bobb6obbo173bobo6bobo3boo84bobo26boobo4boo
5boo14bobbo6boo5boobboboo$140boboboo3boo5b3o7bo183bob3obobboboo4bo131b
o44boo7bo4boboboo82bo24boobbo11bo17b3o5boobo4boo3bobboo$143boobo4bobb
oobobo5bo184bobboboobbo7boo130bobo47boo9bobo83boo22bobboo39bo13bobbo$
145bo3b3obb3o193bobo3bo11b3obo63bobo60boo49bo8boobbo106boo9bo27bo5bo
13boo$154boo6bo166bobboo17bo5boo10bobo65boo108b3o11boo93bo14boboo6bo5b
3o20bo$323boo3bo3boo5b3o95bo56bobo50bo11boo94bo15bobbo33boboo5b3o$322b
o4boo6bob7o150boo64bo94b3o14boo11boo11boo9boo6bobbo$319booboo3boobbobb
3obb5o151bo63bo81bo44bo10bobo9bo7boobbo$106boo13boo18bo7boo167b3obo8bo
6bo5bo4bo209boo81boo32bo6b3o11bo21boo6boo3bo$93bo12b4o10bo3bo3bobo9bob
o6boo168b5obb3obbobboboo6bobb3o291boo32bobobo3bo12boo5bobo19b3obobobo$
72b3o6boo10boo7boobobobo3bob4oboo5boob3o11bobooboboo170bobo7bo4bo5bobb
oo326bobboo23boo19bo4bobobo$72b3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b
3o4booboboboo171boobobo344boo28bo19bobobobobo$71boo5bo6boo8bo4bo12b3o
3boobobob4o5boobbo3boo8bo172bo158b4o30b4o30b4o30b4o30b4o24boo57boo9bo
5boobobo$68bobo3boobboo14bo5boo3boboo8bo4bo6boo4b3obobo3bobo4boo6bo
167bo156bo3bo29bo3bo29bo3bo29bo3bo29bo3bo23boo58bo9b3o7bobo$64boobbob
6o7bobobobo3booboo7b9obbooboo8b3obbobo3bo3bo8bo5b3o166bo156bo33bo33bo
33bo33bo84b3o13bo7bo$63booboobo8booboobbo3bo4bo3bo11boboboo3boo10bobob
oo7bobb4obo6boboo323bobbo30bobbo30bobbo30bobbo30bobbo80bo14bo$64bo5b7o
bbo4boobobobobboo3bob3o3bobbobobo4bo6boo3bob4o7b5o3bo15bo7bo7bo15bo15b
o15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15boob3o
242bo$63boo14boo6b3obbobo4bo7boobo3bo10b3ob3o6b3o8bobbo10boo3bo7bo7bo
9boo4bo9boo4bo9boo4bo9boo4bo9boo4bo15bo15bo15bo15bo15bo15bo15bo15bo15b
o15bo15bo15bo20bo218bo23boo9bo$64bo5b7obbo4boobobobobboo3bob3o3bobbobo
bo4bo6boo3bob4o7b5o3bo15bo7bo7bo9boo4bo9boo4bo9boo4bo9boo4bo9boo4bo15b
o15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo20bo17boo32boo32boo32boo
32boo32boo27boo31bobboo5bo$63booboobo8booboobbo3bo4bo3bo11boboboo3boo
10boboboo7bobb4obo6boboo10bo303boo15b4o13boo15b4o13boo15b4o13boo15b4o
13boo15b4o13boo15b4o13boo12boo29boo8bobo$64boobbob6o7bobobobo3booboo7b
9obbooboo8b3obbobo3bo3bo8bo5b3o11bo302booboo5boo5booboo12booboo12boob
oo12booboo12booboo12booboo12booboo12booboo12booboo12booboo12booboo12b
ooboo14boo25bobo6bobbo$68bobo3boobboo14bo5boo3boboo8bo4bo6boo4b3obobo
3bobo4boo6bo12bo83bo72b3o144b4o5bobo5boo15b4o13boo15b4o13boo15b4o13boo
15b4o13boo15b4o13boo15b4o14bobo19boo12b3o$71boo5bo6boo8bo4bo12b3o3boob
obob4o5boobbo3boo8bo22boo77bobbo219boo6bo25boo32boo32boo32boo32boo32b
oo15bo22bo$72b3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b3o4booboboboo21boo
boo61bobo12bo3b5obo61boob3o389bobo5bobo$72b3o6boo10boo7boobobobo3bob4o
boo5boob3o11bobooboboo21boo3bo60bo3bo7bobo4b5o5bo56boboboo9boobboobobo
345boo25boo5boobo$93bo12b4o10bo3bo3bobo9bobo6boo23bo3bo61bobboo5boobb
oo3bob7obboo50bobbo4boo3b3obbo7boboobo144bo196bobo33boo$86bo19boo13boo
18bo7boo19boo3boobo12bo22boo26bobo3bo4bo11bobo54boobo8b3obboo12bo144b
3o196bo$84b4o88boo12boo5bo11bo4bo23bo6bo8boboo64bobboo3boobbobooboo5b
oo153bo$83boo87bo15bobbobobbobo9boboobb3o16boobooboboboob3obob5o68bobb
obbo3bo5b5o154boo$79boobobo11bo9bobo62bo11bobboo6b3obo8bo8bo16bobbo7bo
boo5boo71boo4b6o128boo26b3o210b3o24boo$77bo4booboo4bo4boo4b3obobo74boo
bo5bobbo8b4o4bobb3o13bobobobo4bobbo86boo20bo5boo10boobo63b3o25bobboo
22bo212bo25boboo5boo$77bo7bo3b3obo3b5obo4bo74bobbobbo11boob3obo3boobb
oo10bobboboboboo114bobo4boo9bo3bo65bo25bobobo3bo12boo5bo15boo195bo25bo
bo5bobo$77boboboo3boo5b3o7bo82bobbo3b3o4bobbo5bob3o3bo3bo3boo3bo9bo
112boo3bobboobo5bo3bo65bo27bo6b3o11bo19bobbo231bo$80boobo4bobboobobo5b
o84boo7b5obboobo5boo6bobobobobboboobbo4bo113boobobobbobo5bo107bo10bobo
9boo5bo4bo173b3o39b3o12boo$82bo3b3obb3o103b4obo16boo3boobobobobo5bobo
60boo51bobboobobbobbo3boo91boo11bobo10boo9boboo3bo3bo176bo31bo6bobbo6b
obo$91boo6bo10bo5bo10boobo28bo43bo21bobbooboo3boo17bo18bobo9b3o8bo3bo
bbo4boobbo8bobo5b3o20bobb4obboobboob3o3bobobo83bobbo10b5o22bo3bo3bo
175bo32b3o4bobo8boo$109bobobboobo8bobboo28boo42bo21bobbooboo3boo18bo7b
o9bo12booboo5bo4boo6bo10boo5b3o3bo16boo3bobbob3obboobbobo4boboobo80bob
oo12b3o20b3o4bobo166bo45bo4bo9bo$108boo5boobbo6bo31bobo36b4obo16boo3b
oobobobobo5bobo11booboo3boobobboo5bo7boobobboboobboobo6boboo4bobo3boo
bbobbooboobboobo17bobboo4bo3boo14bo79boo34bo11bo10boo153b3o37boo5boo$
111bobob4obobboobo60boo7b5obboobo5boo6bobobobobboboobbo4bo12bobboobbo
bbo12boo4bobobobobooboobobb4obobbobbob3obbo4bo3bo6bo22boo3bo5bobobo3b
oo85bobboo30bobo4b3o13bobbo151bo40bobo23boo$43boo13boo18bo7boo25bo9b4o
59bobbo3b3o4bobbo5bob3o3bo3bo3boo3bo9bo5boo3boobbobooboo3boobbo12boobb
oobob3o5bo6bobbobobob3obb3obbobobooboo24boo8bo3b3o88boobbo5bo22bo3bo3b
o13bobboo152boo39bo25bo$30bo12b4o10bo3bo3bobo9bobo6boo11bo8booboo4bo5b
o11bobo45bobbobbo11boob3obo3boobboo10bobboboboboo6b4obob3ob4obbobo3bo
6boo3bobbo8boboo3boobo10bobbobbobo6bobobbo131boobo3b3o6bo14bo3bo3boobo
4bo4boboo188boo25boo5b3o$9b3o6boo10boo7boobobobo3bob4oboo5boob3o11bob
ooboboo8b3o6b3obo3b3o3bo3bobo3b3obobo45boobo5bobbo8b4o4bobb3o13bobobob
o4bobbobbobo7bobboobo4bobo3bobbo4bo7bobo5boobbo6bobboboob3o4bo3b3o6bo
124boobbo3b5o3bobo7bo5bo4bo5boo3boo5bobboo156boo24boobbo16bo9bo8bo$9b
3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b3o4booboboboo8boboo6b5o3boo4bobb
6obo4bo45bobboo6b3obo8bo8bo16bobbo8bob11obo3b5o3bo5boo3boo4bobo4bobbo
9bo3boo4boo5b3o3bo7bo7bo7bo7bo7bo90bobbo4boo3boo3boo6b3o5bobbo12bobo4b
oobbo154bobo6boo12bo3bobobo14booboo8b3o$8boo5bo6boo8bo4bo12b3o3boobobo
b4o5boobbo3boo8bo21boboo7bo8bo10bo44bobbobobbobo9boboobb3o16booboobobo
4bo14b3o5bobo3bo3bo8bo3boob3o8boo4boo7boo8bobbo4bo7bo7bo7bo7bo91boo6b
5o11b5o4boo14bo9boo140boo14bo6bo11b3o6bo15b3o12bo$5bobo3boobboo14bo5b
oo3boboo8bo4bo6boo4b3obobo3bobo4boo22bo9bo7bo11boo45boo5bo11bo4bo23bo
6bob11obo3b5o3bo5boo3boo4bobo4bobbo9bo3boo4boo5b3o3bo7bo7bo7bo7bo7bo
100b3o6boo3boo3boo21bo4boobo141boo10bo8bobo10bo16boo$boobbob6o7bobobob
o3booboo7b9obbooboo8b3obbobo3bo3bo8bo37boo12bobo46bo22boo29bobbobo7bo
bboobo4bobo3bobbo4bo7bobo5boobbo6bobboboob3o4bo3b3o6bo134bo7bobo3b5o
20b3o4bobbo141bobo8bobbo6boo11boo11boo3bo15bo$ooboobo8booboobbo3bo4bo
3bo11boboboo3boo10boboboo7bobb4obo4bobbo147b4obob3ob4obbobo3bo6boo3bo
bbo8boboo3boobo10bobbobbobo6bobobbo73b3o71bo6b3o3boo11boo11boo143boo8b
o26boo6bobbobbobo13bo$bo5b7obbo4boobobobobboo3bob3o3bobbobobo4bo6boo3b
ob4o7b5o3bo7bo9bo7bo7bo122boo3boobbobooboo3boobbo12boobboobob3o5bo6bo
bbobobob3obb3obbobobooboo75bo79bo4bobo10bo166bo21boo4b3o5boobo3b3obobo
$oo14boo6b3obbobo4bo7boobo3bo10b3ob3o6b3o8bobbo3bo3bo9bo7bo7bo129bobb
oobbobbo12boo4bobobobobooboobobb4obobbobbob3obbo4bo3bo6bo74bo87bo11b3o
6bo136boo12boo5boo13bo5bobo14boo4boo3boo$bo5b7obbo4boobobobobboo3bob3o
3bobbobobo4bo6boo3bob4o7b5o3bo7bo9bo7bo7bo129booboo3boobobboo5bo7boobo
bboboobboobo6boboo4bobo3boobbobbooboobboobo160boo12bo3bobobo134bobbo
13bo16bo3bo6bo11boobbo5booboo$ooboobo8booboobbo3bo4bo3bo11boboboo3boo
10boboboo7bobb4obo4bobbo158bo7bo9bo12booboo5bo4boo6bo10boo5b3o3bo146b
3o30boobbo135boobboobboo5bo8boo10bo5bo12bobboo$boobbob6o7bobobobo3boob
oo7b9obbooboo8b3obbobo3bo3bo8bo36bo127bo18bobo9b3o8bo3bobbo4boobbo8bob
o5b3o148b5o32boo136boo3bobobbobbo8bobo15b3o3bo5boboo18booboo$5bobo3boo
bboo14bo5boo3boboo8bo4bo6boo4b3obobo3bobo4boo36boo173boo179bobo6boo
160boobbo9bo10boo5bo15boo5bobboo15boo3boo$8boo5bo6boo8bo4bo12b3o3boobo
bob4o5boobbo3boo8bo35bobo355bo7bobo158bobboo6bo14boo23bo6bobbo16bobob
3o$9b3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b3o4booboboboo8boboo246bo12b
3o13b3o105b3o6bo158boo9bobo19bobo13bobo7boo8bo13bobo$9b3o6boo10boo7boo
bobobo3bob4oboo5boob3o11bobooboboo8b3o243bobb4o136bo6boo158boboo6boo
20bo35bo15bo$30bo12b4o10bo3bo3bobo9bobo6boo11bo189bo14boo27bo10bobbo3b
o41bo260boboo29boo15bo33boo$43boo13boo18bo7boo189bo10boboo11bobbo4boo
10b3o6boo15b3o40bo262bo12boo11boo5bo3b3o33b3o3boo$256boboo5bo9boo15boo
5boo3b4o3b3obo7boobboboo5bo8b3ob3o40bo276bo10bobo11bo5bo25booboobbo$
111bo143boo6boobo10bo6b5obo4b3oboobo3b4o4bobo3bo3boobooboboboo12bobo
308bo6b3o11bo11bo6bo3bo24bo5boo$111boo142bo5boobb6o12bobbobobo7bob4obo
3boobo6bobooboo6boo12b5o307bobobo3bo12boo11bobo5bo38boo$110bobo134bobb
obbo3bo4b6o9bobo3boob6o8bo3boo6boo3boboobobo3b9o11boo308bobboo30boo45b
o$247bobbobob5o5bobo3b3o4boo6boo5bo3bo3bobbo8bobbo8bo3bobo4bo8boo29b3o
279boo80bo$246boo14b3o3b3obo4bobboo3boo6b3obobboboo11boboo8bob3oboo8b
3o31bo305boo6boo37bo7bo$247boboob9obo4boobobboo3b4obboo5bobobobob3o7bo
3bo5boobbo3boo4boo41bo305bobo7bo36bobo7b3o$247bo14bo7bobboo3bobbo7boo
bbo3boboo8boobbobbo5bo9b3o12b3o332bo6b3o38boboboo5bo$247boboob9obo4boo
bobboo3b4obboo5bobobobob3o7bo3bo5boobbo3boo4boo346boo6bo38bobobobobo$
246boo14b3o3b3obo4bobboo3boo6b3obobboboo11boboo8bob3oboo8b3o381bobobo
4bo$43bo14boo27bo159bobbobob5o5bobo3b3o4boo6boo5bo3bo3bobbo8bobbo8bo3b
obo4bo8boo381bobobob3o$31bo10boboo11bobbo4boo10b3o6boo159bobbobbo3bo4b
6o9bobo3boob6o8bo3boo6boo3boboobobo3b9o11boo378bo3boo$10boboo5bo9boo
15boo5boo3b4o3b3obo7boobboboo5bo164bo5boobb6o12bobbobobo7bob4obo3boobo
6bobooboo6boo13b3o9b3o$9boo6boobo10bo6b5obo4b3oboobo3b4o4bobo3bo3boob
ooboboboo165boo6boobo10bo6b5obo4b3oboobo3b4o4bobo3bo3boobooboboboo11b
oo12bo$9bo5boobb6o12bobbobobo7bob4obo3boobo6bobooboo6boo9b3o156boboo5b
o9boo15boo5boo3b4o3b3obo7boobboboo5bo9bo13bo$bobbobbo3bo4b6o9bobo3boob
6o8bo3boo6boo3boboobobo3b9o5bobbo177bo10boboo11bobbo4boo10b3o6boo10boo
bbo$bobbobob5o5bobo3b3o4boo6boo5bo3bo3bobbo8bobbo8bo3bobo4bo6bo3bo188b
o14boo27bo11bo3bo$oo14b3o3b3obo4bobboo3boo6b3obobboboo11boboo8bob3oboo
8boobbo243bobbo$boboob9obo4boobobboo3b4obboo5bobobobob3o7bo3bo5boobbo
3boo4boobb3o4b3o245b3o$bo14bo7bobboo3bobbo7boobbo3boboo8boobbobbo5bo9b
3obb3o11b3o5b3o5b3o$boboob9obo4boobobboo3b4obboo5bobobobob3o7bo3bo5boo
bbo3boo4boobb3o4b3o$oo14b3o3b3obo4bobboo3boo6b3obobboboo11boboo8bob3ob
oo8boobbo232boo$bobbobob5o5bobo3b3o4boo6boo5bo3bo3bobbo8bobbo8bo3bobo
4bo6bo3bo28bo198boo4b6o$bobbobbo3bo4b6o9bobo3boob6o8bo3boo6boo3boboobo
bo3b9o5bobbo13boo9bo3b4o195bobbobbo3bo5b5o$9bo5boobb6o12bobbobobo7bob
4obo3boobo6bobooboo6boo9b3o12bo9boo4b4o192bobboo3boobbobooboo5boo$9boo
6boobo10bo6b5obo4b3oboobo3b4o4bobo3bo3boobooboboboo18bobbobbobobbo6boo
4bo4bo186boobo8b3obboo12bo$10boboo5bo9boo15boo5boo3b4o3b3obo7boobboboo
5bo17boobo3b3o3bo3boo5bobb3o186bobbo4boo3b3obbo7boboobo$31bo10boboo11b
obbo4boo10b3o6boo20bobboo7boo3bo6bobboo191boboboo9boobboobobo$43bo14b
oo27bo23bo5bobb6obbo200boob3o$109bob3obobboboo4bo$109bobboboobbo7boo
204b3o$109bobo3bo11b3obo$88bobboo17bo5boo10bobo$82boo3bo3boo5b3o$81bo
4boo6bob7o$78booboo3boobbobb3obb5o$77b3obo8bo6bo5bo4bo$78b5obb3obbobbo
boo6bobb3o$82bobo7bo4bo5bobboo$83boobobo$85bo$87bo$87bo!

It sure would be nice now to find a simpler period 64 blinker puffer.

Are sawtooths optimized for population or bounding box? I'm not sure.

Sawtooths are defined by having a repeating minimum population, so I think the population has more importance than the bounding box. The goal is usually to find the smallest population for a particular type of sawtooth (e.g., moving, gliderless, slowest growing).

For some explicit goals, such as the minimum bounding box for any sawtooth, then obviously the population is then of lesser importance.

EDIT:

A better period 64 blinker puffer was staring me in the face. Here is the improved sawtooth using it.

Code: Select all

#C An anchored blinker-pull sawtooth with a minimum population of 7095.
#C This uses a smaller blinker puffer than the previous sawtooth.
#C This uses a LWSS gun made of period 68 glider guns and edge shooters.
#C Half of the LWSSes in one stream are inserted using a four-glider
#C one-sided synthesis.  The other half of the LWSSes are inserted
#C using a reaction between a LWSS and three gliders.  The LWSS stream
#C guns were improved over the previous version by user Jormungant.
#C The emitted LWSS streams reach a period 64 c/4 convoy which creates
#C temporary blinkers.  One of the blinkers initiates the blinker-pull
#C reaction. The burning is stopped by a glider from a period 34
#C glider gun, allowing a new set of LWSSs to emerge.  This sawtooth
#C uses the maximum possible LWSS density for a blinker-pulling fuse.
#C The fuse burns at 8c/18 (0.4444c).  Only some of the cycles reach
#C the minimum population.
#C David I. Bell, 22 March 2026
x = 636, y = 239, rule = B3/S23
409bo$407b3o$406bo$406boo3$419bo$417b3o$416bo$416boo$406boo$393boo10b
oobbo$393bobo9boobo$395bo9bobo$368bo26boo17bo$368b3o40boboo8bo$371bo
21b4o10bob4obo6b3o$370boo21bobbo8boobobo9bo$394bo9boboboo8bobbo$391b3o
6bob4obo10b4o$358bo32bo8boobo$358b3o39bo17boo$361bo45bobo9bo$360boo5bo
bo36boboo9bobo$367bobo35bobboo10boo$367bo15boo22boo$370boo10bobo12boo$
369bobbo9bo15bo$365bo6bo8boo12b3o$354bo8boo4bo3bo21bo$354b3o8bobbooboo
8b4o$357bo14boo7bobbo30bo$356bobbo7boo14bo30bobbo$356b4o8booboobbo8b3o
15bobo6bobbobbo$367bo3bo4boo8bo15boo6bo3bo4bo$358boo8bo6bo27bo5bob3ob
5o$358bo9bobbo37bo4bobo$356bobo10boo35boobobooboboboo$356boo15bo32bob
oobobooboobo$371bobo$371bobo5boo$379bo38bo$380b3o33b3o$382bo32bo$415b
oo$373bo$361b3o10bo$360b3obbo6b3o53bo$358bobbo4boo44b3o11b3o$358b3obb
4obo43b3o10bo$361bo6bo16bobo26bo10boo$358boobobobooboboo13boo26bo$358b
oboobooboboobo14bo15boo7bo$402bobo9bobboo$404bo5bobobo$404boo4bo3bo$
411boobbo16bo$402b4o5boo3bo13b3o$402bobbo7b5o11bo$368b3o32bo11b5o7bobb
o$370bo29b3o13bo3boo5b4o$369bo30bo16bobboo$346boboobooboboobo58bo3bo4b
oo$346boobobobooboboo58bobobo5bo$349bo6bo57boobbo9bobo$346b3obb4obo64b
o7boo$346bobbo4boo63bo100bo$348b3obbo52boo10bo101b3o$349b3o55bo10b3o
102bo$404b3o115boo$404bo$370bo47bobo$354boo12b3o47bo91bo$352bobbobo9bo
55b3o84b3o$351bo15boo10boo40bobb3o86bo$351bo3bo23b3o37boo4bobbo9bo73b
oo$344boo8boo22boboo36bob4obb3o7b3o83b3o$344bobo6booboo20b3o37bo6bo9bo
85bo13boo$346bo6booboo21bo12bobo22boobooboboboo6boo84bo3bo8bobo$346boo
6boobbo32boboo23bobobooboobo93bobo9bo$356b3o15bo16bo26bobo11boo81boo
16boo$344b4o24b3o12boboob3o19boo3boo27bo57bo7boobbo$344bobbo23bo15boob
obobbo14boobbobo29b3o57b3o6bobobb4o9b4o$345bo23bobbo21boo6bo7bobobobbo
27bo63bo13boo8bobbo$342b3o24b4o28bo10boboboo27boo61bobbo8boo13bo$342bo
15b3o40b3o7boobo93b4o9b4obbobo6b3o$358bobboo6boo25bo17boboo4boo102bobb
oo7bo$359booboo6bo24bobo16bobobbobbobo85boo16boo$359booboo6bobo21bobbo
11boo4bobboo4bo85bo9bobo$361boo8boo22boo11bobbo12boo12b3o67bobo8bo3bo
55bo6boo$361bo3bo43boo4bobboo17bo3bo10bo55boo13bo53b3o6bo$348boo15bo
26boo20bobobbobb4o11boo3bo7b3o67b3o53bo7bobo$349bo9bobobbo26bobo20bob
oo4bobbo13b3o7bo81boo43boo6boo$346b3o12boo28bo19boobo8bo7b3o13bobbo80b
o78boo$346bo43boo4boo14boboboobb3o7bo3boo11b4o81b3o71boobbo$397bo12bob
obobbobbo10bo3bo98bo38b3o12boo12bo3bobobo$218boo174b3o6boo5boobbobo15b
3o12boo118b3o5bo12bo11b3o6bo$215booboo138boo34bo8bo10boo32bo116boo8bo
10bobo10bo$218bo140bo35boo51bobo62b3o49bo9boo9boo11boo12bo$213boo13boo
5bobo118b3o37bo52boo60bobb3o10bo51boo31bobo$210bobb3oboo4boo3bobb7obb
oo114bo39bobo102bo8bo4bo3bo5bobo36boo3bo10boo22bo6bobbo$208boo3bob3obo
bboobobob5o5bo157boo27boo73b3o6b4obb3obo5boo27boo9bobo9bobo21b3o5bobob
oo$210bobboo3b4o5b7obo175boo14bo76bo10bo4bo33bobbo7boo10bo3boo29bobbo$
212bobbo4bobbo179bo7boboboo7b3o10bo65boo5boobobobooboo22bobo8boobbo6b
oo19b3o11bo4boobo3boo$213boo4boobo180bo3bo5bobo8bo10boo73bobooboobobo
23boobo9boobo9boo9bo8bo9b3obbo4b3o$219bo3bobo177bobbo5boobo20boo80bobo
26bo7boobbo11bo8boo7bo9bo5bo3boobboo$232bo169booboo8boboo25bo46bo26boo
3boo19b3oboobobbobboo12bo5b3o9bobbo7bo5bo5bobbo$233boo168bobo6b4obbo
23bobbo45b3o11b3o14bobobboo14bobboboboobboo15b3o19bo5bo13boo$232boo
145boo23bo7bo3boo24bobbo48bo10b3o13bobbobobo14boo10boboo5boo26bo7bobbo
$379b3o31b3o23boo4bobbo44boo10bo3boo10boobobo28bobbo3bobbo27bo9bo$189b
oo187boboo33bo22bob5ob3o57boo16boboo28boo4bobbo3boo11boo6b3o9bo$142bo
18bobo9b3o8bo3bobbo4boobbo8bobo5b3o158b3o34bobo20bo4bobo62bo7boob4obo
45bo10bobo7bo11b3o$143bo7bo9bo12booboo5bo4boo6bo10boo5b3o3bo157bo36boo
17boobobooboboboo55bo10bobobobbobo11boo3boo17bo6b3o11bo$140booboo3boob
obboo5bo7boobobboboobboobo6boboo4bobo3boobbobbooboobboobo212bobooboboo
boobo25boo27bo11bo7bo4boo5bobo3bobo15bobobo3bo12boo6b3o$140bobboobbobb
o12boo4bobobobobooboobobb4obobbobbob3obbo4bo3bo6bo27bo225bo28bo3boo5b
oo11bobbo4bo7bo15bobboo24bo$133boo3boobbobooboo3boobbo12boobboobob3o5b
o6bobbobobob3obb3obbobobooboo28boo215boo3boobo12bo15b4o16bo4boo5bo3bo
3bo14boo$132b4obob3ob4obbobo3bo6boo3bobbo8boboo3boobo10bobbobbobo6bobo
bbo27boo216bo4bobo13b3o14bo9b4obobbobo11bo5bobboo45boo$132bobbobo7bobb
oobo4bobo3bobbo4bo7bobo5boobbo6bobboboob3o4bo3b3o6bo7boo165boo50booboo
10b3obo11boo5bo23bobbob4obo12bo7bobo45bo$132bob11obo3b5o3bo5boo3boo4bo
bo4bobbo9bo3boo4boo5b3o3bo7bo4bob3o164bo52bobo13boboo10bo5bobbo23bo7bo
boo10bo3bo4bo42b3o$133bo14b3o5bobo3bo3bo8bo3boob3o8boo4boo7boo8bobbo4b
o5b4o165b3o48bobbobo23bobo5b4o9bo14b3oboobobo15bo4boo41bo$132bob11obo
3b5o3bo5boo3boo4bobo4bobbo9bo3boo4boo5b3o3bo7bo176bo16bo31b3ob3o22boo
17b4o15bobobbobobo12bo38bo$132bobbobo7bobboobo4bobo3bobbo4bo7bobo5boo
bbo6bobboboob3o4bo3b3o6bo175boo15boo37boo32boo5boo3bo18bobobboo5boo6b
3o35bobo$132b4obob3ob4obbobo3bo6boo3bobbo8boboo3boobo10bobbobbobo6bobo
bbo43bo136bo17boo31boobobbo32bo11bo19boo9boo8bo35boo$133boo3boobboboob
oo3boobbo12boobboobob3o5bo6bobbobobob3obb3obbobobooboo44boo131boobo50b
obbo9bo8boo13bobo10bo39boo$140bobboobbobbo12boo4bobobobobooboobobb4obo
bbobbob3obbo4bo3bo6bo43boo132bobooboo48bobobo6b3o22boo7bo43bo$140boob
oo3boobobboo5bo7boobobboboobboobo6boboo4bobo3boobbobbooboobboobo179bob
o45b4oboo10bo31boo39bobo$143bo7bo9bo12booboo5bo4boo6bo10boo5b3o3bo180b
o36boo3boo4bo5bo7bobboo27boo3bo10boo26boo$142bo18bobo9b3o8bo3bobbo4boo
bbo8bobo5b3o181boo3bo17boo13bo5bo5b5o9booboo8bo10boo8b3o10bo13boo$189b
oo215bobo10boobbobo10boobo5boboo4bo12boobbo5b3o3boo5bo9b3o11b3o6boobob
o44bo$232boo15bo15bo140boo11bo3bo4bo6boboboo3boobobo11bobo3boobo4boboo
3bobobbobo25bo7bobo45bo$232bobo14bo15bo154b3ob5o5bo6bobo6bo11boo3b3o5b
obboo7boo34boboo44b3o$233bo15bo15bo156bobo9b7o3b7o16bo8booboo14bo24boo
bo9bo$173bo14bo19bo7boo204bobob3o48boobbo11bobbo23bobb4o6boo$140bo19b
oo10bo3bo6booboobo4boobo10bo200bobbo10boobobbo6b3o7b3o29bo14bobbobbo
21boo3bo5bobo$87b3o49bobo6boo9b3o6bobobo3bo3bob4oboo5boobobo5boo3boob
oobobbo189bobbo15boo5bobbo3bo3bobbo29b3o9bo4bo3bo22b3o$141bo4b4obboo6b
o7bobobbobo3bo4bo7boo5bo3b4o7bo3bobo186boob4o21boo4bobo4boo20boo8bo10b
5ob3obo21bo61bo6boo$84boob3o48boobbobbo6boo7bo5bo3bob3o4bobobb4obob5ob
o3bo3bo3bo4bobbobo185bobbo31bobo50bobo4bo19bobo4b4o51b3o6bo$83boboboo
9boobboobobo29bo4bobboo4boo7boobo3boo3bo4boo3bobo5bo3bo3bobbobb3o3bobo
6b3o181bobbobo33bo48boobobobooboboo16boo4bobb3o30bo18bo7bobo$79bobbo4b
oo3b3obbo7boboobo19b4obob4obo4bobobobobo4boobbo7bo4bob6ob3o7boboobo5bo
3b4oboboboo74bo104boo4bo27bo14bo12boo26boboobooboboobo23bo3bo30bobo16b
oo6boo$79boobo8b3obboo12bo19bobb4o6bob3oboobo3bo6b3o3bo11b3o14bobo3bo
5boo4boboobo3b3o69boo103boo29b4o13bobo9bobo63bobbo31boo16boo33boo$79bo
bboo3boobbobooboo5boo32b6o5bobboobobo4boobb3obo4boobo3bo4boo4boboobbob
obboobo4b3o3bobobo3bobbo67boo134boobb3o11boo10bo10boobo36bobo13b3o48b
oo30boobbo$82bobbobbo3bo5b5o27b3o12b3o6boboboo5boo6b3obo3boo9bo5bo5bob
o9boboobobbo3bo4b3o5b3o5b3o154boo23boo4boo22boo11bob3o35boo64bobo11boo
12bo3bobobo$83boo4b6o42b6o5bobboobobo4boobb3obo4boobo3bo4boo4boboobbob
obboobo4b3o3bobobo3bobbo150boo26bo3boo19boo3bobo32bobo4bo34bo22boo35b
oo18bo11b3o6bo$89boo39bobb4o6bob3oboobo3bo6b3o3bo11b3o14bobo3bo5boo4bo
boobo3b3o151b3o22b3o3bobo26boo30boboo3boo58bo41bobo9bobo10bo$130b4obob
4obo4bobobobobo4boobbo7bo4bob6ob3o7boboobo5bo3b4oboboboo156boboo7bo14b
obb4obobo56bo63b3o42boo4boo4boo11boo11boo$137bo4bobboo4boo7boobo3boo3b
o4boo3bobo5bo3bo3bobbobb3o3bobo6b3o21boo133b3o8bobo15bo5boo55boo63bo
19bo25bo4boo29bobbo$138boobbobbo6boo7bo5bo3bob3o4bobobb4obob5obo3bo3bo
3bo4bobbobo18boobob3o5b3ob5obo116bo9boo17bo127boo16bo16bo14bobo20boo6b
oobo$59boo80bo4b4obboo6bo7bobobbobo3bo4bo7boo5bo3b4o7bo3bobo16bo4b3obb
o4boboob4o5bo140boo21boo105bo16b3o4boo8bo15bo22boo8boo$12bo18bobo9b3o
8bo3bobbo4boobbo8bobo5b3o49bobo6boo9b3o6bobobo3bo3bob4oboo5boobobo5boo
3booboobobbo17bo7bobbo3boboobob6obboo161bo5boo5boo92boboo19bobbo6bobo
14bo6boo13bo7boobbo$13bo7bo9bo12booboo5bo4boo6bo10boo5b3o3bo48bo19boo
10bo3bo6booboobo4boobo10bo28boboboo4bo4boo8bobo166b3obobo4bobbo88boob
oobo20boobbo5boo4bo15bobbo19bobboo$10booboo3boobobboo5bo7boobobboboobb
oobo6boboo4bobo3boobbobbooboobboobo80bo14bo19bo7boo22booboo3bo3bo3bo
133bo42bobo6bobo3boo84bobo26boobo4boo4boo15bobo8boo4bo3boboo$10bobboo
bbobbo12boo4bobobobobooboobobb4obobbobbob3obbo4bo3bo6bo8bo142bobbob3o
3bobboo131bo44boo7bo4boboboo82bo24boobbo10bobo16boo7boo5boo3bobboo$3b
oo3boobbobooboo3boobbo12boobboobob3o5bo6bobbobobob3obb3obbobobooboobbo
4b3o137boobbo6bo6boo131b3o47boo9bobo83boo22bobboo18boo19bobo11bobbo$bb
4obob3ob4obbobo3bo6boo3bobbo8boboo3boobo10bobbobbobo6bobobbo6boobbo
136boo4bobbo8bob3o179bo8boobbo106boo9bo4bobo20bo5bo13boo$bbobbobo7bobb
oobo4bobo3bobbo4bo7bobo5boobbo6bobboboob3o4bo3b3o4bo5boo116bo3bobo16bo
4boo10boobo67bo57bo50b3o11boo93bo14boboo5bobo4boo19bobo$bbob11obo3b5o
3bo5boo3boo4bobo4bobbo9bo3boo4boo5b3o3bo4bo6b3o108boo4boobo108boo53boo
51bo11boo95bobo12bobbo5bobo3boo21boo7boo$3bo14b3o5bobo3bo3bo8bo3boob3o
8boo4boo7boo8bo4bo116bobbo4bobbo106boo55boo63bo95boo14boo11boo11boo8b
oo8bobo$bbob11obo3b5o3bo5boo3boo4bobo4bobbo9bo3boo4boo5b3o3bo4bo6b3o
105bobboo3b4o5b7obo215bo80bobo43bo10bobo18bobbo$bbobbobo7bobboobo4bobo
3bobbo4bo7bobo5boobbo6bobboboob3o4bo3b3o4bo5boo105boo3bob3obobboobobob
5o5bo211boo80boo33bo6b3o11bo7bo13boo6boo3bo$bb4obob3ob4obbobo3bo6boo3b
obbo8boboo3boobo10bobbobbobo6bobobbo6boobbo106bobb3oboo4boo3bobb7obboo
291bo33bobobo3bo12boo5boo20b3obobobo$3boo3boobbobooboo3boobbo12boobboo
bob3o5bo6bobbobobob3obb3obbobobooboobbo4b3o110boo13boo5bobo329bobboo
24boo18bo4bobobo$10bobboobbobbo12boo4bobobobobooboobobb4obobbobbob3obb
o4bo3bo6bo8bo116bo160bobbo30bobbo30bobbo30bobbo30bobbo47boo49b4obobo$
10booboo3boobobboo5bo7boobobboboobboobo6boboo4bobo3boobbobbooboobboobo
120booboo158bo33bo33bo33bo33bo26boo57boo9bo6bobobo$13bo7bo9bo12booboo
5bo4boo6bo10boo5b3o3bo124boo144bo13bo3bo29bo3bo29bo3bo29bo3bo29bo3bo
22boo58bo9b3o7bobo$12bo18bobo9b3o8bo3bobbo4boobbo8bobo5b3o274bo11b4o
30b4o30b4o30b4o30b4o80b3o13bo8bo$59boo300bo3bo230bo14bo8bo$105boo15bo
15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo16b4o243bo$
105bobo14bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo14b
o3bo219bobo22boo7bobo$106bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15b
o15bo15bo15bo15bo17bo4boo32boo32boo32boo32boo32boo32boo10boo33boo$43bo
14bo19bo7boo274bo5b4o13boo15b4o13boo15b4o13boo15b4o13boo15b4o13boo15b
4o13boo15b4o10bo29boo9boo$10bo19boo10bo3bo6booboobo4boobo10bo19b3o266b
ooboo12booboo12booboo12booboo12booboo12booboo12booboo12booboo12booboo
12booboo12booboo12booboo12booboo41boo6bobo$9bobo6boo9b3o6bobobo3bo3bob
4oboo5boobobo5boo3booboobobbo8bobbo117bo148boo6b3o6b4o13boo15b4o13boo
15b4o13boo15b4o13boo15b4o13boo15b4o13boo15b3o19boo5b3o4boo$11bo4b4obb
oo6bo7bobobbobo3bo4bo7boo5bo3b4o7bo3bobo7boboo115b4o155bo9boo32boo32b
oo32boo32boo32boo31bo22bo6boo$8boobbobbo6boo7bo5bo3bob3o4bobobb4obob5o
bo3bo3bo3bo4bobbobo125boo159bo212bo21bobo4booboo$7bo4bobboo4boo7boobo
3boo3bo4boo3bobo5bo3bo3bobbobb3o3bobo6b3o120boobobo11bo9bobo371boo6b3o
$4obob4obo4bobobobobo4boobbo7bo4bob6ob3o7boboobo5bo3b4obobobo119bo4boo
boo4bo4boo4b3obobo146bo196b3o$obb4o6bob3oboobo3bo6b3o3bo11b3o14bobo3bo
5boo4bob3o119bo7bo3b3obo3b5obo4bo146b3o196bo$7b6o5bobboobobo4boobb3obo
4boobo3bo4boo4boboobbobobboobo4b3o3boboo5b3o111boboboo3boo5b3o7bo154bo
194bo$3o12b3o6boboboo5boo6b3obo3boo9bo5bo5bobo9bob3o5b3o7b3o5b3o5b3o
88boobo4bobboobobo5bo95boo57boo$7b6o5bobboobobo4boobb3obo4boobo3bo4boo
4boboobbobobboobo4b3o3boboo5b3o116bo3b3obb3o103bobo23boo27boo211boo$o
bb4o6bob3oboobo3bo6b3o3bo11b3o14bobo3bo5boo4bob3o133boo6bo10bo5bo10boo
bo68bo24bobboo23bobo210bobo22b3o6boo$4obob4obo4bobobobobo4boobbo7bo4bo
b6ob3o7boboobo5bo3b4obobobo151bobobboobo8bobboo93bobobo3bo12boo5bo212b
o24booboo4bobo$7bo4bobboo4boo7boobo3boo3bo4boo3bobo5bo3bo3bobbobb3o3bo
bo6b3o21boo126boo5boobbo6bo98bo6b3o11bo20b3o223boo6bo$8boobbobbo6boo7b
o5bo3bob3o4bobobb4obob5obo3bo3bo3bo4bobbobo18boobob3o5b3ob5obo111bobob
4obobboobo108bo10bobo9boo6boobbo173boo41boo4b3o5boo$11bo4b4obboo6bo7bo
bobbobo3bo4bo7boo5bo3b4o7bo3bobo7boboo5bo4b3obbo4boboob4o5bo39boo13boo
18bo7boo25bo9b4o94boo11boo11boo8bobbo4bo3bo173bobo32bo7bobo6boo$9bobo
6boo9b3o6bobobo3bo3bob4oboo5boobobo5boo3booboobobbo8bobbo5bo7bobbo3bob
oobob6obboo24bo12b4o10bo3bo3bobo9bobo6boo20booboo4bo5bo11bobo82bobbo
11b3o22bo5b3o176bo32b3o4boo9boo$10bo19boo10bo3bo6booboobo4boobo10bo19b
3o6boboboo4bo4boo8bobo7b3o6boo10boo7boobobobo3bob4oboo5boob3o11boboobo
boo17b3obo3b3o3bo3bobo3b3obobo82boboo13bo21boo6bo167bo45bo$43bo14bo19b
o7boo22booboo3bo3bo3bo15b3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b3o4boob
oboboo18b5o3boo4bobb6obo4bo81boo16bo40boo153b3o44boo$112bobbob3o3bobb
oo13boo5bo6boo8bo4bo12b3o3boobobob4o5boobbo3boo8bo21boboo7bo8bo86bobb
oo31bo6boo13bobbo151bo40b3o23boo$108boobbo6bo6boo10bobo3boobboo14bo5b
oo3boboo8bo4bo6boo4b3obobo3bobo4boo22bo9bo7bo88boobbo12bo16b3o5bo7boo
3bobboo152boo39bo25bo$108boo4bobbo8bob3o3boobbob6o7bobobobo3booboo7b9o
bbooboo8b3obbobo3bo3bo8bo37boo92boobo4boo6bo14bo3bo4bobbo3bo4boboo188b
oo6bo18boo5b3o$87bo3bobo16bo4boo10boobobbooboobo8booboobbo3bo4bo3bo11b
oboboo3boo10boboboo7bobb4obobbo3bo123boobbo3boobbo3b3o13bobboo6boo5boo
3bobboo157bo24boobbo17bobo6bo8bo$81boo4boobo43bo5b7obbo4boobobobobboo
3bob3o3bobbobobo4bo6boo3bob4o7b5o3bobo3b3o6bo7bo7bo98bobbo5booboo13bo
6b3o13bo6boobbo154b3o6boo12bo3bobobo15boob4o5b3o$80bobbo4bobbo41boo14b
oo6b3obbobo4bo7boobo3bo10b3ob3o6b3o8bobboo4boboo5bo7bo7bo99boo6booboo
11booboo21bo8boo163bo11b3o6bo16bobobb3o6bo$78bobboo3b4o5b7obo30bo5b7o
bbo4boobobobobboo3bob3o3bobbobobo4bo6boo3bob4o7b5o3bobo3b3o6bo7bo7bo
45boo62bo13booboo19bobo5boobo140b3o11bo7bobo10bo16boo8bobo3boo$76boo3b
ob3obobboobobob5o5bo25booboobo8booboobbo3bo4bo3bo11boboboo3boo10bobob
oo7bobb4obobbo3bo68bobo70b3o3bobboo20boo5bobbo143bo9b3o6boo11boo3bobbo
4boo3bo14b3o$78bobb3oboo4boo3bobb7obboo24boobbob6o7bobobobo3booboo7b9o
bbooboo8b3obbobo3bo3bo8bo76bo70bo6boo4boo11boo11boo143bo9bo27bobbo3bo
bbobbobo$81boo13boo5bobo32bobo3boobboo14bo5boo3boboo8bo4bo6boo4b3obobo
3bobo4boo148bo11bobo10bo157bobbo7bo26boo5boobo3boo3bobo$86bo54boo5bo6b
oo8bo4bo12b3o3boobobob4o5boobbo3boo8bo162bo11b3o6bo136boo13bo5bo19b3o
15boo6b4o$83booboo54b3o4b3o3boo6bo7b3obobbo4boo4bo6bo4boo4b3o4boobobob
oo149bo13boo12bo3bobobo134bobbo5bo5bo7bobbo9b3o5bo12boobbo5boobo$86boo
54b3o6boo10boo7boobobobo3bob4oboo5boob3o11bobooboboo149bo31boobbo135b
oobboo3bo5bo9bo7boo8bo11bobboo$163bo12b4o10bo3bo3bobo9bobo6boo151b3o
33boo136b3o4bobb3o9bo8bo9boo9boboo19boboo$176boo13boo18bo7boo153boo6b
oo160boo3boboo4bo11b3o19boo6bobboo16b4o$237bo136bo7bobo158bobbo29boo3b
o10boo7bobbo15bobo3boo$235boo14b3o13b3o105b3o6bo158boobobo5b3o21bobo9b
obo9boo22bobo$235boobbo137bo6boo158bobbo6bo22boo10bo3boo16b3o14bo$178b
o14bo19bo7boo16bo304bobo31boo32boo3bobo8boo$145bo19boo10bo3bo6booboobo
4boobo10bo331bo12boo11boo9boo9bo18b3obbobo5bo$144bobo6boo9b3o6bobobo3b
o3bob4oboo5boobobo5boo3booboobobbo334bo10bobo10bo8boo19b4oboo4boo$146b
o4b4obboo6bo7bobobbobo3bo4bo7boo5bo3b4o7bo3bobo323bo6b3o11bo12bo5b3o
23bobo6bo$143boobbobbo6boo7bo5bo3bob3o4bobobb4obob5obo3bo3bo3bo4bobbob
o41boo279bobobo3bo12boo12b3o39bo3boo$142bo4bobboo4boo7boobo3boo3bo4boo
3bobo5bo3bo3bobbobb3o3bobo6b3o39bobo279bobboo77bo$135b4obob4obo4bobobo
bobo4boobbo7bo4bob6ob3o7boboobo5bo3b4oboboboo41bo278boo80bo$135bobb4o
6bob3oboobo3bo6b3o3bo11b3o14bobo3bo5boo4bobooboo345boo6boo37bo7bo$142b
6o5bobboobobo4boobb3obo4boobo3bo4boo4boboobbobobboobo4b3o3bobob3o343bo
bo7bo36bobo7b3o$135b3o12b3o6boboboo5boo6b3obo3boo9bo5bo5bobo9boboobob
oo5bobboo332bo6b3o38boboboo5bo$142b6o5bobboobobo4boobb3obo4boobo3bo4b
oo4boboobbobobboobo4b3o3bobob3o5boboo333boo6bo38bobobobobo$135bobb4o6b
ob3oboobo3bo6b3o3bo11b3o14bobo3bo5boo4bobooboo6bobo380bobobo4bo$135b4o
bob4obo4bobobobobo4boobbo7bo4bob6ob3o7boboobo5bo3b4oboboboo24boo364bob
obob3o$142bo4bobboo4boo7boobo3boo3bo4boo3bobo5bo3bo3bobbobb3o3bobo6b3o
23bobo365bo3boo$143boobbobbo6boo7bo5bo3bob3o4bobobb4obob5obo3bo3bo3bo
4bobbobo26bo$146bo4b4obboo6bo7bobobbobo3bo4bo7boo5bo3b4o7bo3bobo$144bo
bo6boo9b3o6bobobo3bo3bob4oboo5boobobo5boo3booboobobbo$145bo19boo10bo3b
o6booboobo4boobo10bo$178bo14bo19bo7boo$$235boo$236bo$236bo$226boo6bo$
217bo3b3obb3o$215boobo4bobboobobo5bo$212boboboo3boo5b3o7bo$212bo7bo3b
3obo3b5obo4bo$212bo4booboo4bo4boo4b3obobo$214boobobo11bo9bobo$218boo$
219b4o$221bo!

EDIT 2:

You can't just replace a component of a sawtooth even though the reaction is unchanged and expect to preserve the minimum repeating population at the same phase. Fluctuations within the updated component might cause the new minimum population to occur at a different generation.

In this case, I just replaced the blinker puffer with a new one and forget to check it.

The incorrectly labeled population 7126 sawtooth actually had a repeating minimum of 7095 cells.

I replaced the previous RLE with the adjusted one showing the correct minimum population.

EDIT 3:

I determined the minimum populations for as many cycles as I could easily run.

Code: Select all

Gen           Pop
0             7095
274           7150
1088          7095
3742          7110
11834         7128
36992         7124
116077        7140
363007        7119
1134650       7128
3545792       7124
11081146      7128
34628730      7128
108214861     7148
338171685     7128
1056786846    7110
3302459034    7140
10320184562   7144
32250577056   7107
100783053438  7096

BCNU,
-dbell

[ElijahKen]

Here is the improved sawtooth using it.

You only need one of those p64 rakes (plus a sparking c/4 to catch escaping gliders):

Code: Select all

x = 620, y = 239, rule = B3/S23
393bo$391b3o$390bo$390b2o3$403bo$401b3o$400bo$400b2o$390b2o$377b2o10b
2o2bo$377bobo9b2obo$379bo9bobo$352bo26b2o17bo$352b3o40bob2o8bo$355bo21b
4o10bob4obo6b3o$354b2o21bo2bo8b2obobo9bo$378bo9bobob2o8bo2bo$375b3o6b
ob4obo10b4o$342bo32bo8b2obo$342b3o39bo17b2o$345bo45bobo9bo$344b2o5bob
o36bob2o9bobo$351bobo35bo2b2o10b2o$351bo15b2o22b2o$354b2o10bobo12b2o$
353bo2bo9bo15bo$349bo6bo8b2o12b3o$338bo8b2o4bo3bo21bo$338b3o8bo2b2ob2o
8b4o$341bo14b2o7bo2bo30bo$340bo2bo7b2o14bo30bo2bo$340b4o8b2ob2o2bo8b3o
15bobo6bo2bo2bo$351bo3bo4b2o8bo15b2o6bo3bo4bo$342b2o8bo6bo27bo5bob3ob
5o$342bo9bo2bo37bo4bobo$340bobo10b2o35b2obob2obobob2o$340b2o15bo32bob
2obob2ob2obo$355bobo$355bobo5b2o$363bo38bo$364b3o33b3o$366bo32bo$399b
2o$357bo$345b3o10bo$344b3o2bo6b3o53bo$342bo2bo4b2o44b3o11b3o$342b3o2b
4obo43b3o10bo$345bo6bo16bobo26bo10b2o$342b2obobob2obob2o13b2o26bo$342b
ob2ob2obob2obo14bo15b2o7bo$386bobo9bo2b2o$388bo5bobobo$388b2o4bo3bo$395b
2o2bo16bo$386b4o5b2o3bo13b3o$386bo2bo7b5o11bo$352b3o32bo11b5o7bo2bo$354b
o29b3o13bo3b2o5b4o$353bo30bo16bo2b2o$330bob2ob2obob2obo58bo3bo4b2o$330b
2obobob2obob2o58bobobo5bo$333bo6bo57b2o2bo9bobo$330b3o2b4obo64bo7b2o$
330bo2bo4b2o63bo100bo$332b3o2bo52b2o10bo101b3o$333b3o55bo10b3o102bo$388b
3o115b2o$388bo$354bo47bobo$338b2o12b3o47bo91bo$336bo2bobo9bo55b3o84b3o
$335bo15b2o10b2o40bo2b3o86bo$335bo3bo23b3o37b2o4bo2bo9bo73b2o$328b2o8b
2o22bob2o36bob4o2b3o7b3o83b3o$328bobo6b2ob2o20b3o37bo6bo9bo85bo13b2o$
330bo6b2ob2o21bo12bobo22b2ob2obobob2o6b2o84bo3bo8bobo$330b2o6b2o2bo32b
ob2o23bobob2ob2obo93bobo9bo$340b3o15bo16bo26bobo11b2o81b2o16b2o$328b4o
24b3o12bob2ob3o19b2o3b2o27bo57bo7b2o2bo$328bo2bo23bo15b2obobo2bo14b2o
2bobo29b3o57b3o6bobo2b4o9b4o$329bo23bo2bo21b2o6bo7bobobo2bo27bo63bo13b
2o8bo2bo$326b3o24b4o28bo10bobob2o27b2o61bo2bo8b2o13bo$326bo15b3o40b3o
7b2obo93b4o9b4o2bobo6b3o$342bo2b2o6b2o25bo17bob2o4b2o102bo2b2o7bo$343b
2ob2o6bo24bobo16bobo2bo2bobo85b2o16b2o$343b2ob2o6bobo21bo2bo11b2o4bo2b
2o4bo85bo9bobo$345b2o8b2o22b2o11bo2bo12b2o12b3o67bobo8bo3bo55bo6b2o$345b
o3bo43b2o4bo2b2o17bo3bo10bo55b2o13bo53b3o6bo$332b2o15bo26b2o20bobo2bo
2b4o11b2o3bo7b3o67b3o53bo7bobo$333bo9bobo2bo26bobo20bob2o4bo2bo13b3o7b
o81b2o43b2o6b2o$330b3o12b2o28bo19b2obo8bo7b3o13bo2bo80bo78b2o$330bo43b
2o4b2o14bobob2o2b3o7bo3b2o11b4o81b3o71b2o2bo$381bo12bobobo2bo2bo10bo3b
o98bo38b3o12b2o12bo3bobobo$378b3o6b2o5b2o2bobo15b3o12b2o118b3o5bo12bo
11b3o6bo$342b2o34bo8bo10b2o32bo116b2o8bo10bobo10bo$343bo35b2o51bobo62b
3o49bo9b2o9b2o11b2o12bo$340b3o37bo52b2o60bo2b3o10bo51b2o31bobo$340bo39b
obo102bo8bo4bo3bo5bobo36b2o3bo10b2o22bo6bo2bo$381b2o27b2o73b3o6b4o2b3o
bo5b2o27b2o9bobo9bobo21b3o5bobob2o$395b2o14bo76bo10bo4bo33bo2bo7b2o10b
o3b2o29bo2bo$387bo7bobob2o7b3o10bo65b2o5b2obobob2ob2o22bobo8b2o2bo6b2o
19b3o11bo4b2obo3b2o$387bo3bo5bobo8bo10b2o73bob2ob2obobo23b2obo9b2obo9b
2o9bo8bo9b3o2bo4b3o$387bo2bo5b2obo20b2o80bobo26bo7b2o2bo11bo8b2o7bo9b
o5bo3b2o2b2o$386b2ob2o8bob2o25bo46bo26b2o3b2o19b3ob2obo2bo2b2o12bo5b3o
9bo2bo7bo5bo5bo2bo$387bobo6b4o2bo23bo2bo45b3o11b3o14bobo2b2o14bo2bobo
b2o2b2o15b3o19bo5bo13b2o$363b2o23bo7bo3b2o24bo2bo48bo10b3o13bo2bobobo
14b2o10bob2o5b2o26bo7bo2bo$363b3o31b3o23b2o4bo2bo44b2o10bo3b2o10b2obo
bo28bo2bo3bo2bo27bo9bo$362bob2o33bo22bob5ob3o57b2o16bob2o28b2o4bo2bo3b
2o11b2o6b3o9bo$362b3o34bobo20bo4bobo62bo7b2ob4obo45bo10bobo7bo11b3o$363b
o36b2o17b2obob2obobob2o55bo10bobobo2bobo11b2o3b2o17bo6b3o11bo$419bob2o
bob2ob2obo25b2o27bo11bo7bo4b2o5bobo3bobo15bobobo3bo12b2o6b3o$458bo28b
o3b2o5b2o11bo2bo4bo7bo15bo2b2o24bo$450b2o3b2obo12bo15b4o16bo4b2o5bo3b
o3bo14b2o$450bo4bobo13b3o14bo9b4obo2bobo11bo5bo2b2o45b2o$384b2o50b2ob
2o10b3obo11b2o5bo23bo2bob4obo12bo7bobo45bo$384bo52bobo13bob2o10bo5bo2b
o23bo7bob2o10bo3bo4bo42b3o$385b3o48bo2bobo23bobo5b4o9bo14b3ob2obobo15b
o4b2o41bo$387bo16bo31b3ob3o22b2o17b4o15bobo2bobobo12bo38bo$385b2o15b2o
37b2o32b2o5b2o3bo18bobo2b2o5b2o6b3o35bobo$385bo17b2o31b2obo2bo32bo11b
o19b2o9b2o8bo35b2o$382b2obo50bo2bo9bo8b2o13bobo10bo39b2o$382bob2ob2o48b
obobo6b3o22b2o7bo43bo$386bobo45b4ob2o10bo31b2o39bobo$386bo36b2o3b2o4b
o5bo7bo2b2o27b2o3bo10b2o26b2o$385b2o3bo17b2o13bo5bo5b5o9b2ob2o8bo10b2o
8b3o10bo13b2o$390bobo10b2o2bobo10b2obo5bob2o4bo12b2o2bo5b3o3b2o5bo9b3o
11b3o6b2obobo44bo$390b2o11bo3bo4bo6bobob2o3b2obobo11bobo3b2obo4bob2o3b
obo2bobo25bo7bobo45bo$404b3ob5o5bo6bobo6bo11b2o3b3o5bo2b2o7b2o34bob2o
44b3o$406bobo9b7o3b7o16bo8b2ob2o14bo24b2obo9bo$406bobob3o48b2o2bo11bo
2bo23bo2b4o6b2o$393bo2bo10b2obo2bo6b3o7b3o29bo14bo2bo2bo21b2o3bo5bobo
$86b2o305bo2bo15b2o5bo2bo3bo3bo2bo29b3o9bo4bo3bo22b3o$83b2ob2o303b2ob
4o21b2o4bobo4b2o20b2o8bo10b5ob3obo21bo61bo6b2o$86bo303bo2bo31bobo50bo
bo4bo19bobo4b4o51b3o6bo$81b2o13b2o5bobo281bo2bobo33bo48b2obobob2obob2o
16b2o4bo2b3o30bo18bo7bobo$78bo2b3ob2o4b2o3bo2b7o2b2o275b2o4bo27bo14bo
12b2o26bob2ob2obob2obo23bo3bo30bobo16b2o6b2o$76b2o3bob3obo2b2obobob5o
5bo278b2o29b4o13bobo9bobo63bo2bo31b2o16b2o33b2o$78bo2b2o3b4o5b7obo312b
2o2b3o11b2o10bo10b2obo36bobo13b3o48b2o30b2o2bo$80bo2bo4bo2bo298b2o23b
2o4b2o22b2o11bob3o35b2o64bobo11b2o12bo3bobobo$81b2o4b2obo272b2o26bo3b
2o19b2o3bobo32bobo4bo34bo22b2o35b2o18bo11b3o6bo$87bo3bobo16bo4b2o10b2o
bo232b3o22b3o3bobo26b2o30bob2o3b2o58bo41bobo9bobo10bo$108b2o4bo2bo8bo
b3o231bob2o7bo14bo2b4obobo56bo63b3o42b2o4b2o4b2o11b2o11b2o$108b2o2bo6b
o6b2o234b3o8bobo15bo5b2o55b2o63bo19bo25bo4b2o29bo2bo$112bo2bob3o3bo2b
2o235bo9b2o17bo127b2o16bo16bo14bobo20b2o6b2obo$43bo14bo19bo7b2o22b2ob
2o3bo3bo3bo264b2o21b2o105bo16b3o4b2o8bo15bo22b2o8b2o$10bo19b2o10bo3bo
6b2ob2obo4b2obo10bo19b3o6bobob2o4bo4b2o8bobo279bo5b2o5b2o92bob2o19bo2b
o6bobo14bo6b2o13bo7b2o2bo$9bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o
3b2ob2obo2bo8bo2bo5bo7bo2bo3bob2obob6o2b2o199b2o75b3obobo4bo2bo88b2ob
2obo20b2o2bo5b2o4bo15bo2bo19bo2b2o$11bo4b4o2b2o6bo7bobo2bobo3bo4bo7b2o
5bo3b4o7bo3bobo7bob2o5bo4b3o2bo4bob2ob4o5bo198b2ob2o34bo42bobo6bobo3b
2o84bobo26b2obo4b2o4b2o15bobo8b2o4bo3bob2o$8b2o2bo2bo6b2o7bo5bo3bob3o
4bobo2b4obob5obo3bo3bo3bo4bo2bobo18b2obob3o5b3ob5obo205bo34bo44b2o7bo
4bobob2o82bo24b2o2bo10bobo16b2o7b2o5b2o3bo2b2o$7bo4bo2b2o4b2o7b2obo3b
2o3bo4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b3o21b2o218b2o13b2o5bobo15b3o47b2o
9bobo83b2o22bo2b2o18b2o19bobo11bo2bo$4obob4obo4bobobobobo4b2o2bo7bo4b
ob6ob3o7bob2obo5bo3b4obobobo239bo2b3ob2o4b2o3bo2b7o2b2o62bo8b2o2bo106b
2o9bo4bobo20bo5bo13b2o$o2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4b
ob3o237b2o3bob3obo2b2obobob5o5bo10bo50b3o11b2o93bo14bob2o5bobo4b2o19b
obo$7b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bob2o
5b3o231bo2b2o3b4o5b7obo12b2o51bo11b2o95bobo12bo2bo5bobo3b2o21b2o7b2o$
3o12b3o6bobob2o5b2o6b3obo3b2o9bo5bo5bobo9bob3o5b3o7b3o5b3o5b3o207bo2b
o4bo2bo25b2o63bo95b2o14b2o11b2o11b2o8b2o8bobo$7b6o5bo2b2obobo4b2o2b3o
bo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bob2o5b3o234b2o4b2obo90bo80bobo43b
o10bobo18bo2bo$o2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bob3o248b
o3bobo87b2o80b2o33bo6b3o11bo7bo13b2o6b2o3bo$4obob4obo4bobobobobo4b2o2b
o7bo4bob6ob3o7bob2obo5bo3b4obobobo424bo33bobobo3bo12b2o5b2o20b3obobob
o$7bo4bo2b2o4b2o7b2obo3b2o3bo4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b3o457bo2b
2o24b2o18bo4bobobo$8b2o2bo2bo6b2o7bo5bo3bob3o4bobo2b4obob5obo3bo3bo3b
o4bo2bobo270bo2bo30bo2bo30bo2bo30bo2bo30bo2bo47b2o49b4obobo$11bo4b4o2b
2o6bo7bobo2bobo3bo4bo7b2o5bo3b4o7bo3bobo7bob2o258bo33bo33bo33bo33bo26b
2o57b2o9bo6bobobo$9bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o3b2ob2o
bo2bo8bo2bo244bo13bo3bo29bo3bo29bo3bo29bo3bo29bo3bo22b2o58bo9b3o7bobo
$10bo19b2o10bo3bo6b2ob2obo4b2obo10bo19b3o247bo11b4o30b4o30b4o30b4o30b
4o80b3o13bo8bo$43bo14bo19bo7b2o257bo3bo230bo14bo8bo$106bo15bo15bo15bo
15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo16b4o243bo$105bobo14bo15b
o15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo14bo3bo219bobo22b2o7b
obo$105b2o15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo17b
o4b2o32b2o32b2o32b2o32b2o32b2o32b2o10b2o33b2o$59b2o285bo5b4o13b2o15b4o
13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o10bo29b2o9b2o$12bo18b
obo9b3o8bo3bo2bo4b2o2bo8bobo5b3o261b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2o
b2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o41b
2o6bobo$13bo7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo111b2o147b2o6b3o6b4o13b
2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b3o19b2o5b3o4b2o
$10b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2o
bo107b2ob2o155bo9b2o32b2o32b2o32b2o32b2o32b2o31bo22bo6b2o$10bo2b2o2bo
2bo12b2o4bobobobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo8bo103bo157bo212b
o21bobo4b2ob2o$3b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o
2b3o2bobob2ob2o2bo4b3o97b2o13b2o5bobo374b2o6b3o$2b4obob3ob4o2bobo3bo6b
2o3bo2bo8bob2o3b2obo10bo2bo2bobo6bobo2bo6b2o2bo93bo2b3ob2o4b2o3bo2b7o
2b2o145bo196b3o$2bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6bo2bob2ob
3o4bo3b3o4bo5b2o92b2o3bob3obo2b2obobob5o5bo147b3o196bo$2bob11obo3b5o3b
o5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo4bo6b3o92bo2b2o3b4o5b7obo154bo194b
o$3bo14b3o5bobo3bo3bo8bo3b2ob3o8b2o4b2o7b2o8bo4bo103bo2bo4bo2bo106b2o
57b2o$2bob11obo3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo4bo6b3o95b
2o4b2obo108b2o22b2o27b2o211b2o$2bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b
2o2bo6bo2bob2ob3o4bo3b3o4bo5b2o103bo3bobo16bo4b2o10b2obo67bo25bo2b2o23b
obo210bobo22b3o6b2o$2b4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10bo2bo
2bobo6bobo2bo6b2o2bo123b2o4bo2bo8bob3o93bobobo3bo12b2o5bo212bo24b2ob2o
4bobo$3b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o2b3o2bobo
b2ob2o2bo4b3o124b2o2bo6bo6b2o97bo6b3o11bo20b3o223b2o6bo$10bo2b2o2bo2b
o12b2o4bobobobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo8bo129bo2bob3o3bo2b
2o107bo10bobo9b2o6b2o2bo173b2o41b2o4b3o5b2o$10b2ob2o3b2obo2b2o5bo7b2o
bo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2obo67bo14bo19bo7b2o22b2ob2o
3bo3bo3bo94b2o11b2o11b2o8bo2bo4bo3bo173bobo32bo7bobo6b2o$13bo7bo9bo12b
2ob2o5bo4b2o6bo10b2o5b3o3bo35bo19b2o10bo3bo6b2ob2obo4b2obo10bo28bobob
2o4bo4b2o8bobo85bo2bo11b3o22bo5b3o176bo32b3o4b2o9b2o$12bo18bobo9b3o8b
o3bo2bo4b2o2bo8bobo5b3o36bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o3b
2ob2obo2bo17bo7bo2bo3bob2obob6o2b2o81bob2o13bo21b2o6bo167bo45bo$59b2o
67bo4b4o2b2o6bo7bobo2bobo3bo4bo7b2o5bo3b4o7bo3bobo16bo4b3o2bo4bob2ob4o
5bo82b2o16bo40b2o153b3o44b2o$125b2o2bo2bo6b2o7bo5bo3bob3o4bobo2b4obob
5obo3bo3bo3bo4bo2bobo18b2obob3o5b3ob5obo86bo2b2o31bo6b2o13bo2bo151bo40b
3o23b2o$124bo4bo2b2o4b2o7b2obo3b2o3bo4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b
3o21b2o105b2o2bo12bo16b3o5bo7b2o3bo2b2o152b2o39bo25bo$117b4obob4obo4b
obobobobo4b2o2bo7bo4bob6ob3o7bob2obo5bo3b4obobob2o130b2obo4b2o6bo14bo
3bo4bo2bo3bo4bob2o188b2o6bo18b2o5b3o$89b2o26bo2b4o6bob3ob2obo3bo6b3o3b
o11b3o14bobo3bo5b2o4bob2obo3b3o122b2o2bo3b2o2bo3b3o13bo2b2o6b2o5b2o3b
o2b2o157bo24b2o2bo17bobo6bo8bo$83b2o4b6o29b6o5bo2b2obobo4b2o2b3obo4b2o
bo3bo4b2o4bob2o2bobo2b2obo4b3o3bobobo3bo2bo120bo2bo5b2ob2o13bo6b3o13b
o6b2o2bo154b3o6b2o12bo3bobobo15b2ob4o5b3o$82bo2bo2bo3bo5b5o14b3o12b3o
6bobob2o5b2o6b3obo3b2o9bo5bo5bobo9bob2obo2bo3bo4b3o5b3o5b3o98b2o6b2ob
2o11b2ob2o21bo8b2o163bo11b3o6bo16bobo2b3o6bo$79bo2b2o3b2o2bob2ob2o5b2o
19b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bobobo3b
o2bo67b2o62bo13b2ob2o19bobo5b2obo140b3o11bo7bobo10bo16b2o8bobo3b2o$79b
2obo8b3o2b2o12bo6bo2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bob2ob
o3b3o69b2o69b3o3bo2b2o20b2o5bo2bo143bo9b3o6b2o11b2o3bo2bo4b2o3bo14b3o
$79bo2bo4b2o3b3o2bo7bob2obo6b4obob4obo4bobobobobo4b2o2bo7bo4bob6ob3o7b
ob2obo5bo3b4obobob2o74bo71bo6b2o4b2o11b2o11b2o143bo9bo27bo2bo3bo2bo2b
obo$83bobob2o9b2o2b2obobo16bo4bo2b2o4b2o7b2obo3b2o3bo4b2o3bobo5bo3bo3b
o2bo2b3o3bobo6b3o147bo11bobo10bo157bo2bo7bo26b2o5b2obo3b2o3bobo$84b2o
b3o35b2o2bo2bo6b2o7bo5bo3bob3o4bobo2b4obob5obo3bo3bo3bo4bo2bobo162bo11b
3o6bo136b2o13bo5bo19b3o15b2o6b4o$128bo4b4o2b2o6bo7bobo2bobo3bo4bo7b2o
5bo3b4o7bo3bobo148bo13b2o12bo3bobobo134bo2bo5bo5bo7bo2bo9b3o5bo12b2o2b
o5b2obo$87b3o36bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o3b2ob2obo2b
o149bo31b2o2bo135b2o2b2o3bo5bo9bo7b2o8bo11bo2b2o$127bo19b2o10bo3bo6b2o
b2obo4b2obo10bo160b3o33b2o136b3o4bo2b3o9bo8bo9b2o9bob2o19bob2o$160bo14b
o19bo7b2o153b2o6b2o160b2o3bob2o4bo11b3o19b2o6bo2b2o16b4o$220bo15bo15b
o105bo7bobo158bo2bo29b2o3bo10b2o7bo2bo15bobo3b2o$219bobo14bo15bo106b3o
6bo158b2obobo5b3o21bobo9bobo9b2o22bobo$219b2o15bo15bo108bo6b2o158bo2b
o6bo22b2o10bo3b2o16b3o14bo$176b2o350bobo31b2o32b2o3bobo8b2o$129bo18bo
bo9b3o8bo3bo2bo4b2o2bo8bobo5b3o322bo12b2o11b2o9b2o9bo18b3o2bobo5bo$130b
o7bo9bo12b2ob2o5bo4b2o6bo10b2o5b3o3bo334bo10bobo10bo8b2o19b4ob2o4b2o$
127b2ob2o3b2obo2b2o5bo7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2o
bo323bo6b3o11bo12bo5b3o23bobo6bo$127bo2b2o2bo2bo12b2o4bobobobob2ob2ob
o2b4obo2bo2bob3o2bo4bo3bo6bo43b2o279bobobo3bo12b2o12b3o39bo3b2o$120b2o
3b2o2bob2ob2o3b2o2bo12b2o2b2obob3o5bo6bo2bobobob3o2b3o2bobob2ob2o44b2o
278bo2b2o77bo$119b4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10bo2bo2bob
o6bobo2bo43bo279b2o80bo$119bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo
6bo2bob2ob3o4bo3b3o6bo344b2o6b2o37bo7bo$119bob11obo3b5o3bo5b2o3b2o4bo
bo4bo2bo9bo3b2o4b2o5b3o3bo7bo342bobo7bo36bobo7b3o$120bo14b3o5bobo3bo3b
o8bo3b2ob3o8b2o4b2o7b2o8bo2bo4bo5b4o333bo6b3o38bobob2o5bo$119bob11obo
3b5o3bo5b2o3b2o4bobo4bo2bo9bo3b2o4b2o5b3o3bo7bo4bob3o332b2o6bo38bobob
obobo$119bo2bobo7bo2b2obo4bobo3bo2bo4bo7bobo5b2o2bo6bo2bob2ob3o4bo3b3o
6bo7b2o379bobobo4bo$119b4obob3ob4o2bobo3bo6b2o3bo2bo8bob2o3b2obo10bo2b
o2bobo6bobo2bo27b2o364bobobob3o$120b2o3b2o2bob2ob2o3b2o2bo12b2o2b2obo
b3o5bo6bo2bobobob3o2b3o2bobob2ob2o28b2o364bo3b2o$127bo2b2o2bo2bo12b2o
4bobobobob2ob2obo2b4obo2bo2bob3o2bo4bo3bo6bo27bo$127b2ob2o3b2obo2b2o5b
o7b2obo2bob2o2b2obo6bob2o4bobo3b2o2bo2b2ob2o2b2obo$130bo7bo9bo12b2ob2o
5bo4b2o6bo10b2o5b3o3bo$129bo18bobo9b3o8bo3bo2bo4b2o2bo8bobo5b3o$176b2o
2$219b2o$220b2o$219bo$206bo3bobo$200b2o4b2obo$199bo2bo4bo2bo$197bo2b2o
3b4o5b7obo$195b2o3bob3obo2b2obobob5o5bo$197bo2b3ob2o4b2o3bo2b7o2b2o$200b
2o13b2o5bobo$205bo$202b2ob2o$205b2o!

[Jormungant]

Generation 244227 is seconds before the mayhem, sadly:

Code: Select all

x = 759, y = 173, rule = B3/S23
37$112bo$110b4o$109b2o$105b2obobo11bo9bobo$103bo4b2ob2o4bo4b2o4b3obobo
$103bo7bo3b3obo3b5obo4bo$103bobob2o3b2o5b3o7bo$106b2obo4bo2b2obobo5bo$
108bo3b3o2b3o$117b2o6bo10bo5bo10b2obo$135bobo2b2obo8bo2b2o$134b2o5b2o
2bo6bo$126bo10bobob4obo2b2obo$69b2o13b2o18bo7b2o11b3o11bo9b4o$56bo12b
4o10bo3bo3bobo9bobo6b2o10bo2b2o5b2ob2o4bo5bo11bobo$35b3o6b2o10b2o7b2ob
obobo3bob4ob2o5b2ob3o11bob2obob2o8bo3bo4b3obo3b3o3bo3bobo3b3obobo200bo
$35b3o4b3o3b2o6bo7b3obo2bo4b2o4bo6bo4b2o4b3o4b2obobob2o9b2obo5b5o3b2o
4bo2b6obo4bo198b4o$34b2o5bo6b2o8bo4bo12b3o3b2obobob4o5b2o2bo3b2o8bo10b
2o9bob2o7bo8bo202b2o$31bobo3b2o2b2o14bo5b2o3bob2o8bo4bo6b2o4b3obobo3bo
bo4b2o22bo9bo7bo199b2obobo11bo9bobo$27b2o2bob6o7bobobobo3b2ob2o7b9o2b
2ob2o8b3o2bobo3bo3bo8bo37b2o199bo4b2ob2o4bo4b2o4b3obobo$26b2ob2obo8b2o
b2o2bo3bo4bo3bo11bobob2o3b2o10bobob2o7bo2b4obo2bo4b3o229bo7bo3b3obo3b
5obo4bo$27bo5b7o2bo4b2obobobo2b2o3bob3o3bo2bobobo4bo6b2o3bob4o7b5o3bob
obo2bo3bo7bo7bo7bo204bobob2o3b2o5b3o7bo$26b2o14b2o6b3o2bobo4bo7b2obo3b
o10b3ob3o6b3o8bo2b2o3bobo3bo7bo7bo7bo207b2obo4bo2b2obobo5bo$27bo5b7o2b
o4b2obobobo2b2o3bob3o3bo2bobobo4bo6b2o3bob4o7b5o3bobobo2bo3bo7bo7bo7bo
209bo3b3o2b3o$26b2ob2obo8b2ob2o2bo3bo4bo3bo11bobob2o3b2o10bobob2o7bo2b
4obo2bo4b3o243b2o6bo$27b2o2bob6o7bobobobo3b2ob2o7b9o2b2ob2o8b3o2bobo3b
o3bo8bo$31bobo3b2o2b2o14bo5b2o3bob2o8bo4bo6b2o4b3obobo3bobo4b2o$34b2o
5bo6b2o8bo4bo12b3o3b2obobob4o5b2o2bo3b2o8bo10b2o266b2o32b2o32b2o32b2o
32b2o32b2o32b2o32b2o32b2o32b2o32b2o$35b3o4b3o3b2o6bo7b3obo2bo4b2o4bo6b
o4b2o4b3o4b2obobob2o9b2obo248b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b
2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b
2o$35b3o6b2o10b2o7b2obobobo3bob4ob2o5b2ob3o11bob2obob2o8bo3bo247b2ob2o
12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob
2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o12b
2ob2o12b2ob2o12b2ob2o12b2ob2o12b2ob2o$56bo12b4o10bo3bo3bobo9bobo6b2o
10bo2b2o248b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o
15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o13b2o15b4o$69b2o13b2o18bo
7b2o11b3o250b2o32b2o32b2o32b2o32b2o32b2o32b2o32b2o32b2o32b2o32b2o32b2o
$126bo6bo$132bobo13b3o13b3o13b3o13b3o13b3o13b3o13b3o13b3o13b3o13b3o13b
3o13b3o13b3o13b3o$132b2o269bo2bo30bo2bo30bo2bo30bo2bo30bo2bo30bo2bo30b
o2bo30bo2bo30bo2bo30bo2bo30bo2bo$71bo14bo19bo7b2o269b4o13bo16b4o13bo
16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o
13bo16b4o13bo$38bo19b2o10bo3bo6b2ob2obo4b2obo10bo278bo3bo12bo3bo12bo3b
o12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3b
o12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo12bo3bo$37bob
o6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o3b2ob2obo2bo111bo155bo16b4o13b
o16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o13bo16b4o
13bo16b4o13bo16b4o$39bo4b4o2b2o6bo7bobo2bobo3bo4bo7b2o5bo3b4o7bo3bobo
6b3o99b4o155bo2bo30bo2bo30bo2bo30bo2bo30bo2bo30bo2bo30bo2bo30bo2bo30bo
2bo30bo2bo30bo2bo$36b2o2bo2bo6b2o7bo5bo3bob3o4bobo2b4obob5obo3bo3bo3bo
4bo2bobo6bo2bo97b2o$35bo4bo2b2o4b2o7b2obo3b2o3bo4b2o3bobo5bo3bo3bo2bo
2b3o3bobo6b3o4bo97b2obobo11bo9bobo$28b4obob4obo4bobobobobo4b2o2bo7bo4b
ob6ob3o7bob2obo5bo3b4obobob2o4bo4bo90bo4b2ob2o4bo4b2o4b3obobo$28bo2b4o
6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bob2ob2o3bo4bo90bo7bo3b3obo3b
5obo4bo$35b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3b
obob3o3bob2o91bobob2o3b2o5b3o7bo96b2o$28b3o12b3o6bobob2o5b2o6b3obo3b2o
9bo5bo5bobo9bob2obob2o100b2obo4bo2b2obobo5bo96bobo$35b6o5bo2b2obobo4b
2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bobob3o3bob2o96bo3b3o2b3o
107bo$28bo2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bob2ob2o3bo4bo
104b2o6bo10bo5bo10b2obo$28b4obob4obo4bobobobobo4b2o2bo7bo4bob6ob3o7bob
2obo5bo3b4obobob2o4bo4bo122bobo2b2obo8bo2b2o$35bo4bo2b2o4b2o7b2obo3b2o
3bo4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b3o4bo126b2o5b2o2bo6bo$36b2o2bo2bo6b
2o7bo5bo3bob3o4bobo2b4obob5obo3bo3bo3bo4bo2bobo6bo2bo125bobob4obo2b2ob
o$39bo4b4o2b2o6bo7bobo2bobo3bo4bo7b2o5bo3b4o7bo3bobo6b3o58b2o13b2o18bo
7b2o25bo9b4o$37bobo6b2o9b3o6bobobo3bo3bob4ob2o5b2obobo5b2o3b2ob2obo2bo
55bo12b4o10bo3bo3bobo9bobo6b2o20b2ob2o4bo5bo11bobo$38bo19b2o10bo3bo6b
2ob2obo4b2obo10bo45b3o6b2o10b2o7b2obobobo3bob4ob2o5b2ob3o11bob2obob2o
17b3obo3b3o3bo3bobo3b3obobo$71bo14bo19bo7b2o36b3o4b3o3b2o6bo7b3obo2bo
4b2o4bo6bo4b2o4b3o4b2obobob2o18b5o3b2o4bo2b6obo4bo$151b2o5bo6b2o8bo4bo
12b3o3b2obobob4o5b2o2bo3b2o8bo21bob2o7bo8bo$148bobo3b2o2b2o14bo5b2o3bo
b2o8bo4bo6b2o4b3obobo3bobo4b2o6bo15bo9bo7bo$144b2o2bob6o7bobobobo3b2ob
2o7b9o2b2ob2o8b3o2bobo3bo3bo8bo5b3o29b2o$115bo3bobo21b2ob2obo8b2ob2o2b
o3bo4bo3bo11bobob2o3b2o10bobob2o7bo2b4obo6bob2o$109b2o4b2obo25bo5b7o2b
o4b2obobobo2b2o3bob3o3bo2bobobo4bo6b2o3bob4o7b5o3bo15bo7bo7bo$108bo2bo
4bo2bo23b2o14b2o6b3o2bobo4bo7b2obo3bo10b3ob3o6b3o8bo2bo10b2o3bo7bo7bo
46b2o$106bo2b2o3b4o5b7obo12bo5b7o2bo4b2obobobo2b2o3bob3o3bo2bobobo4bo
6b2o3bob4o7b5o3bo15bo7bo7bo45bobo$104b2o3bob3obo2b2obobob5o5bo7b2ob2ob
o8b2ob2o2bo3bo4bo3bo11bobob2o3b2o10bobob2o7bo2b4obo6bob2o69bo$106bo2b
3ob2o4b2o3bo2b7o2b2o6b2o2bob6o7bobobobo3b2ob2o7b9o2b2ob2o8b3o2bobo3bo
3bo8bo5b3o$109b2o13b2o5bobo14bobo3b2o2b2o14bo5b2o3bob2o8bo4bo6b2o4b3ob
obo3bobo4b2o6bo$114bo36b2o5bo6b2o8bo4bo12b3o3b2obobob4o5b2o2bo3b2o8bo$
111b2ob2o36b3o4b3o3b2o6bo7b3obo2bo4b2o4bo6bo4b2o4b3o4b2obobob2o$114b2o
36b3o6b2o10b2o7b2obobobo3bob4ob2o5b2ob3o11bob2obob2o$173bo12b4o10bo3bo
3bobo9bobo6b2o$186b2o13b2o18bo7b2o$247bo$246bobo13b3o13b3o$246b2o$188b
o14bo19bo7b2o$155bo19b2o10bo3bo6b2ob2obo4b2obo10bo$154bobo6b2o9b3o6bob
obo3bo3bob4ob2o5b2obobo5b2o3b2ob2obo2bo$156bo4b4o2b2o6bo7bobo2bobo3bo
4bo7b2o5bo3b4o7bo3bobo43b2o$153b2o2bo2bo6b2o7bo5bo3bob3o4bobo2b4obob5o
bo3bo3bo3bo4bo2bobo42bobo$152bo4bo2b2o4b2o7b2obo3b2o3bo4b2o3bobo5bo3bo
3bo2bo2b3o3bobo6b3o43bo$145b4obob4obo4bobobobobo4b2o2bo7bo4bob6ob3o7bo
b2obo5bo3b4obobobo$145bo2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bo
b3o$152b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bob
2o4bo6b2o$145b3o12b3o6bobob2o5b2o6b3obo3b2o9bo5bo5bobo9bob3o2b2ob2o6bo
$152b6o5bo2b2obobo4b2o2b3obo4b2obo3bo4b2o4bob2o2bobo2b2obo4b3o3bob2o4b
o5bobo$145bo2b4o6bob3ob2obo3bo6b3o3bo11b3o14bobo3bo5b2o4bob3o11bo15b2o
$145b4obob4obo4bobobobobo4b2o2bo7bo4bob6ob3o7bob2obo5bo3b4obobobo26bob
o$152bo4bo2b2o4b2o7b2obo3b2o3bo4b2o3bobo5bo3bo3bo2bo2b3o3bobo6b3o27bo$
153b2o2bo2bo6b2o7bo5bo3bob3o4bobo2b4obob5obo3bo3bo3bo4bo2bobo$156bo4b
4o2b2o6bo7bobo2bobo3bo4bo7b2o5bo3b4o7bo3bobo$154bobo6b2o9b3o6bobobo3bo
3bob4ob2o5b2obobo5b2o3b2ob2obo2bo$155bo19b2o10bo3bo6b2ob2obo4b2obo10bo
$188bo14bo19bo7b2o$247b2o$246bobo$248bo2$236b2o6bo$227bo3b3o2b3o$225b
2obo4bo2b2obobo5bo$222bobob2o3b2o5b3o7bo$222bo7bo3b3obo3b5obo4bo$222bo
4b2ob2o4bo4b2o4b3obobo$224b2obobo11bo9bobo$228b2o$229b4o$231bo!

Even the domino spark actually modify that linker-lwss colliding object, but it somehow still converts back to the same fuse, so it really seem that is the only way, unless there is a way to guaranty that the length of all cycles are a multiple of 16 or more, but I am not sure on the math, and that might just be impossible.

Addendum,
I think the time for the nth cycle follow the following recursive formula: a_0 = 0, a' = (3a + 4 + floor(a/8)) * 68 ... so that is never going to be a multiple of 8, even less of 16, so that's that, we need dominoes. the epoch time I noted are all multiple of 68 (otherwise things would go kaboom one the lwss gun end) and is (0,4,16,54,172,541,1694,5297) x68.

[dbell]

I have almost created the first oblique sawtooth spaceship. This is pretty large so I had to make an attachment.

justaboutsawtooth.zip

(1.77 MiB) Downloaded 27 times

This has slope 1/2 and is made from several copies of the period 1024 hbkcaterpillar and the period 12 bi-block fuse puffer.

I found a tweak for the hbkcaterpillar which turns it into a sideways rake, and then found glider reflections using standard hbkcaterpillars to create the other sideways rake and a backward rake from the output of the first sideways rake.

Pairs of gliders from two of the rakes collide to create sparks. When the spark reactions reach the bi-block fuse, then it is ignited. The fuse burns out cleanly, no matter what the timing of the ignition was, and then starts growing again for the next cycle.

There seems to be three ways that the sparks react to the bi-block fuse. The first way does nothing since the sparks miss the fuse. The second way is totally clean and is shown as the first ignition in the pattern. The third way ignites the fuse to create just a little bit of debris made of blocks.

Code: Select all

#C Some debris to be cleaned up after some ignitions.
x = 6, y = 5, rule = B3/S23
oo$oobboo$4boo$oo$oo!

The debris can be cleaned up by perturbing them with the edge reactions of several trailing hbkcaterpillars, or else by shooting them with gliders from sideways rakes, with more hbkcaterpillars to catch the gliders when they find nothing.

I didn't do the cleanup myself since my Life program is too slow and painful for editing such huge objects, and I ran out of patience.

If someone wants to make a much smaller version of the sawtooth, it is probably possible to create a custom version of the hbkcaterpillar
which directly creates pairs of gliders as shown here.

Code: Select all

#C Detail of the fuse ignition reaction using two gliders.
x = 19, y = 16, rule = B3/S23
6bo$5bo$5b3o$$obo$boo14boo$bo15boo$13boo$13boobboo$9boo6boo$9boobboo$
5boo6boo$5boobboo$9boo$5boo$5boo!

BCNU,
-dbell

[I6_I6]

I have almost created the first oblique sawtooth spaceship. This is pretty large so I had to make an attachment.


justaboutsawtooth.zip

Impressive! It's so close to completion, only one more rake is needed to clean up the debris. But wouldn't the bi-block puffer eventually collide with one of the HBK caterpillars? And is there a way to complete this with the parallel HBK, or is that too high-period? Is a camelwise sawtooth possible using Solifuge technology?

In case it helps, here are rakes based on parallel HBKs:

hbk rakes.mc

(495.74 KiB) Downloaded 24 times

[dbell]

I have finished the cleanup of the oblique sawtooth spaceship. Hopefully I have not made a mistake in the construction since it is so hard to run it fully.

obliquesawtooth2.zip

(3.22 MiB) Downloaded 63 times

There was a third fuse ignition mode that I missed in my previous posting. All three ignition modes are shown here, along with the
cleanup gliders which delete the debris.

Code: Select all

#C Three ignition modes for an oblique sawooth spaceship fuse.
#C This also shows the paths for gliders which delete the debris.
#C The glider paths are identical for all three ignition modes and
#C are defined by the position of the two spark creating gliders.
#C The top two rows show successive gliders shifted by (6,3) cells
#C with respect to each other as produced by a sideways rake.
#C The bottom row shows a glider produced by a second sideways rake.
#C The first ignition mode produces an extraneous glider which
#C must be separately deleted.  The leftover beehives are an
#C artifact of this fuse extract, and do not appear in the real object.
x = 354, y = 248, rule = B3/S23
13bo$12bo$12b3o$$7bobo142bo$8boo141bo$8bo77bo64b3o$20boo63bo19boo60boo
$20boo63b3o17boo39bobo18boo$16boo83boo44boo14boo$16boobboo58bobo18boo
bboo40bo15boobboo$12boo6boo59boo14boo6boo52boo6boo$12boobboo63bo15boo
bboo56boobboo$8boo6boo75boo6boo52boo6boo$8boobboo79boobboo56boobboo$4b
oo6boo75boo6boo52boo6boo$4boobboo79boobboo56boobboo$oo6boo75boo6boo52b
oo6boo$oobboo79boobboo56boobboo$4boo75boo6boo52boo6boo$oo79boobboo56b
oobboo$oo83boo60boo$81boo60boo$81boo60boo32$36b3o$36bo$37bo67b3o$105bo
$106bo68b3o$175bo$176bo49$100b3o$100bo$101bo67b3o$169bo$170bo68b3o$
239bo$240bo123$212b3o$212bo$213bo$$351b3o$351bo$285b3o64bo$285bo$286bo
!

In the sawtooth, the debris is created a long way away from the rakes which produce the gliders that destroy the debris. But eventually,
the rakes reach the debris and emit gliders on the lanes shown above with much larger spacing between the gliders than shown above, but still does the deletion since the debris is stable and can wait.

What was added to my previous incomplete sawtooth are the two hbkcaterpillar sideways rakes which produce the gliders seen in the ignition modes above, two more hbkcaterpillar spaceships to delete the unused gliders from the rakes, and a final hbkcaterpillar spaceship to delete the extraneous glider from the first ignition mode.

Finally, I want to point out that the block fuse will not run into the front hbkcaterpillar. The picture of the sawtooth does look confusing,
but the slopes of the backward gliders and the block puffer are different. The slope of the puffer and of the hbkcaterpillar are both 1/2, and so they run parallel to each other with a small gap between them. Avoiding the front hbkcaterpillar is the reason that the backward glider
stream needs to be so long.

EDIT:

I6_I6 discovered that there was an extraneous piece of junk in the completed sawtooth. It was fatal to the operation of the sawtooth, so I couldn't just leave it.

I removed the old attachment and replaced it with a new attachment which is the same except with the junk removed.

BCNU,
-dbell

[I6_I6]

I have finished the cleanup of the oblique sawtooth spaceship. Hopefully I have not made a mistake in the construction since it is so hard to run it fully.


obliquesawtooth.zip

There's this thing at (-189450, 108653):

Code: Select all

x = 22, y = 22, rule = B3/S23
13bo$12bo$12b3o2$7bobo$8b2o$8bo$20b2o$20b2o$16b2o$16b2o2b2o$12b2o6b2o$
12b2o2b2o$8b2o6b2o$8b2o2b2o$4b2o6b2o$4b2o2b2o$2o6b2o$2o2b2o$4b2o$2o$2o
!

But otherwise it seems to be working fine. Golly is really bad at running this (which is weird, since the HBK caterpillar is supposed to be hashlife-friendly), so I can't be sure.

[TheWayOfTheCon]

I have finished the cleanup of the oblique sawtooth spaceship. Hopefully I have not made a mistake in the construction since it is so hard to run it fully.

BCNU,
-dbell

Now in the news submission page!

[MDA]

How are sawtooths (e.g. Sawtooth 177, Sawtooth 168) numbered?

[I6_I6]

How are sawtooths (e.g. Sawtooth 177, Sawtooth 168) numbered?

They're numbered by the least infinitely repeating population count (minimum repeating population).

[dbell]

For years now I have been trying to make a sawtooth from the Cordership-based line ship. This is still unsuccessful, but recently I made a small amount of progress.

Code: Select all

#C A Cordership-based line ship being ignited several times by gliders
#C which are separated from each other by 1596 * 2^N cells.
#C Additional gliders can be added to increase the number of cycles.
#C David I. Bell, 2 August 2026
x = 5426, y = 5371, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo123bo$224bobo95bobo27boo10bobbo123bo$239b
oo84bo11b3o23bo3bo124bo$239boo83b3o38boo126bo$245bo78bo169bo$244b3o75b
oo35bo135bo$223bo19booboo76bo13b3o16boo137bo$222bobo18bobo45bo30bobbo
12b3o5boo3boobboo5bo134bo$223bo19bo48bo29bobo13boo6boo3boo4boo139bo$
290b3o29bo14bo23bo137bo$267b3o65boobbo18b4o138bo$221b4o40b7o6bo57bo3bo
9bo6bobo141bo$221boo3bo13bo23b9o4bo58bobbo10bo5bobboobo139bo$222bo4bo
11bobo21bo7b3obboo59b3o7bo9bo4bo140bo$224boboo11bo24b3o6bo3bobbo31boob
o27boo6bo6bo145bo$225bo15boo22boo11b3o30b3obo6bobo19b4o11bobbo142bo$
242bo25bo10bo30bo4bobo4bo25bo3bo6boo145bo$239b3o27bo18boo21boo6bobo3bo
23bo157bo$240boo28bo17boo22bo3bobbobboo26bobo155bo$237bo77boboo3boboob
o11b3o9bo157bo$237boo75bobo8bobo11b4o167bo$237boo75bobo21boobboo167bo$
227boo6boo102boobo169bo$227boo4boo20bo83b3o171bo$233boobo18bo84bo173bo
$235boo18bo8bo23b3o5boo217bo$262bobo20boobobo5boo218bo$256b3obbo3bo19b
obbobo226bo$257bob5o10boboo5b3o232bo$263bo4boo4bobo3booboo18b3o26boo
185bo$235boo21boo8boo6boob3obbo18bo15bo9bob4o185bo$235boo67bo9bo3b5o5b
oobo3boo184bo$313bobo7boo4bobbooboo185bo$313bo7boboo5b6o187bo$314bo8b
oo6bo192bo$315bo3b4o202bo$320b3o203bo$527bo$528bo$266bo85bo176bo$265b
4o52boo29bobo175bo$263b5obo51boo29boo177bo$257b3obbo6boo261bo$261bo3bo
b3o263bo$262bobobboo265bo$319b3o213bo$319bo216bo$320bo216bo$538bo$539b
o$263boo275bo$263boo276bo$542bo$543bo$544bo$545bo$546bo$547bo$548bo$
549bo$550bo$335b3o213bo$295bo39bo216bo$294bobo27bo11bo216bo$293booboo
26bo229bo$294bobbo26bo230bo$296b3o22bob3obo228bo$296bobo22bob5o229bo$
297boo26bobo230bo$297boo12boo9boo235bo$311boo9boo236bo$323bo237bo$323b
oo237bo$295bo28bo3boo233bo$279boobo11bobo27bo239bo$278b3obo9b3oboo24bo
boo239bo$277bo4bobo8bob3o25bo242bo$278boo6boboobbo26boo246bo$279bo3bo
bbo4b3o25boo247bo$282boboo6bobob3o270bo$281bobo9boo4bo11boo257bo$281bo
bo9bobo3bo10bobboo256bo$292b3ob4o10bo4bo256bo$294bo19bo258bo$273bo9boo
7boo17bobbo259bo$272bobo8boo26b3o261bo$271booboo300bo$272bobbo29boo
270bo$274b3o28boo271bo$274bobo302bo$275boo303bo$275boo304bo$582bo$583b
o$584bo$273bo311bo$274bo311bo$274boo311bo$273b3o312bo$589bo$590bo$274b
3o11bo302bo$272bo4bo8booboo301bo$272boo3bo10bo304bo$274b4o11bo304bo$
288boo305bo$287bobbo305bo$288boo307bo$598bo$599bo$600bo$277boo322bo$
277boo323bo$603bo$604bo$605bo$606bo$607bo$608bo$609bo$610bo$611bo$612b
o$613bo$614bo$615bo$616bo$617bo$618bo$619bo$620bo$621bo$622bo$623bo$
624bo$625bo$626bo$627bo$628bo$629bo$630bo$631bo$632bo$633bo$632boo$
635b3o$635bo$636bo1594$2231b3o$2231bo$2232bo3190$5423b3o$5423bo$5424bo
!

I have no idea why that strange factor of 1596 (4 * 3 * 7 * 19) works. I just found it experimentally. There might be a smaller factor that also works.

The above pattern doesn't have enough gliders to show the doubling well, so here is another one with 25 doubling cycles. It obviously won't run in the viewer, but you can select it and paste it into golly to see it.

Code: Select all

[M2] (golly 2.0)
$$$....*$...*$...***$
4 0 0 0 1
5 0 0 0 2
6 0 3 0 0
7 0 0 4 0
8 0 0 5 0
9 0 0 6 0
10 0 7 0 0
11 0 8 0 0
12 0 9 0 0
13 0 10 0 0
14 0 11 0 0
15 0 12 0 0
16 0 13 0 0
17 0 14 0 0
18 0 15 0 0
19 0 16 0 0
20 0 17 0 0
21 0 18 0 0
22 0 0 19 0
23 0 0 20 0
24 0 0 21 0
25 0 0 22 0
26 0 23 0 0
27 0 24 0 0
28 0 0 25 0
29 0 0 26 0
30 0 0 27 0
31 0 28 0 0
32 0 0 29 0
33 0 0 30 0
34 0 0 31 0
35 0 32 0 0
27 0 0 24 0
28 0 34 0 0
29 0 0 35 0
30 0 0 36 0
31 0 0 37 0
32 0 0 38 0
33 0 0 39 0
34 0 40 0 0
26 0 0 23 0
27 0 42 0 0
28 0 43 0 0
29 0 0 44 0
30 0 45 0 0
31 0 46 0 0
32 0 47 0 0
33 0 0 48 0
25 0 22 0 0
26 0 0 50 0
27 0 51 0 0
28 0 52 0 0
29 0 53 0 0
30 0 0 54 0
31 0 55 0 0
32 0 0 56 0
24 0 21 0 0
25 0 58 0 0
26 0 0 59 0
27 0 60 0 0
28 0 0 61 0
29 0 62 0 0
30 0 0 63 0
31 0 0 64 0
23 0 20 0 0
24 0 66 0 0
25 0 67 0 0
26 0 0 68 0
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4 757 0 848 849
5 840 844 847 850
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4 0 0 852 853
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4 0 855 0 856
$.....*$.......*$
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4 858 859 860 861
$..**$..**$
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4 863 864 865 291
5 854 857 862 866
4 0 0 319 679
....****$
4 869 296 0 856
4 0 864 865 291
5 868 870 759 871
4 296 864 865 291
5 873 298 298 0
6 851 867 872 874
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4 0 0 0 876
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4 0 0 878 0
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4 880 881 882 883
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4 246 0 885 0
5 877 879 884 886
.......*$$....**$.....*$....*$...*$..*$.*$
4 0 409 409 888
5 0 0 0 889
..***$..**$.*...**$.*.*.*$..**$
....*.**$....****$....*$.....***$.....***$.....*$
$$$$$$.....***$....****$
4 891 892 893 0
$......**$......*$......**$
4 0 895 0 0
...**$*..*$*...**.*$*...****$......*$
*$$*$$$$$.......*$
4 897 898 409 888
5 0 894 896 899
$$*$
$$$$$..**$..**$.......*$
4 901 902 902 888
*$$$$$.......*$......**$....***$
.....*$......**$
4 888 904 296 905
4 888 296 296 0
5 903 906 907 0
6 887 890 900 908
...*$....*$..***$$$*$*$*......*$
....*..*$$$$$$$.......*$
.......*$$....**$.....*$....*$...*$..*....*$.*.....*$
4 876 910 911 912
*$$$$$$*$*$
4 291 296 914 0
4 912 914 296 0
$$$$$$...*$..***$
4 0 0 917 0
5 913 915 916 918
$$$$$.*$.**$.**..*$
4 0 0 0 920
4 0 0 246 0
5 0 0 921 922
$$....*$.***.**$***.*..*$*.**$*..*$.*******$
$$$$$....*$....*$
*...*$*****$*..**$*.*$.*$
4 924 925 926 0
.*..**$.*...*$..**.*$....**$$$$...*$
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4 928 0 929 0
.....**$.....***$......**$..*..***$..*.**$..*...**$
$$*...***$**..****$*......*$....***$....**$
4 931 932 0 0
5 927 930 0 933
**...*$$....****$....***$.......*$
4 0 935 0 278
*$*$**$*$*$$$**$
4 937 0 665 0
4 0 665 0 0
5 936 938 939 0
6 919 923 934 940
7 837 875 909 941
$$$$..*****$......*$..****$
4 943 509 0 291
4 799 296 296 0
5 944 945 298 0
6 946 0 0 0
7 947 0 0 0
8 790 803 942 948
4 0 0 0 319
....***$
4 0 951 0 0
5 0 950 0 952
$$$$$*$**$**.....*$
$$$$.....**$....*..*$*...*$.**..***$
4 0 0 954 955
$...**$...***$...*$.....**$.......*$.......*$
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4 957 958 959 960
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4 962 963 0 964
4 960 0 0 0
5 956 961 965 966
$$$$$$.......*$
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4 968 969 0 970
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$$...**$.*****$****.**$*.**.*$...**$...*$
4 0 972 973 0
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4 0 0 0 975
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...**$..*..*$..*..*$.**.*$*$*.**$*.**$.*$
4 977 0 978 0
5 971 974 976 979
6 953 967 0 980
7 0 981 0 0
$....*$...*..*$..*...*$..*....*$..**...*$...*..*$....**$
4 324 296 983 0
$$$$.....*$....*.*$.....*$
4 0 0 985 0
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4 987 0 0 988
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4 990 0 991 992
5 984 986 989 993
$$$$$$$.*$
4 995 0 585 0
4 0 0 424 0
5 996 0 997 0
$$$....*$....*$
4 999 0 0 604
....*$...***.*$.......*$
4 0 1001 0 917
4 604 605 605 0
$*...*$*....**$*..*.*$.....*$
4 0 1004 0 0
5 1000 1002 1003 1005
*.*$*.*$.**$
$....***$..**.**$..**.**$...**$
4 1007 1008 0 0
$.....**$.....**$
4 0 0 1010 0
$.*.*$*****$*...*$$$$...*$
.*$....*$.**.**$...*$$...**$.....*$..*..*$
4 1012 1010 1013 0
5 1009 1011 1014 0
6 994 998 1006 1015
$$$$$$.....*$....*$
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...*.**$.....**$*****$.*$
4 1017 1018 1019 1020
$.**$.**$..**.*$...**.**$....***$.....*$
$..**$.**$...*$
4 0 0 1022 1023
5 0 485 1021 1024
$$$$$.......*$......*$......*$
4 484 1026 0 324
5 628 444 0 1027
$$$$....*.*$....*.*$.....*.*$..*...*$
$$$$$$*...*$.*..**$
.**$*....*.*$.***.*$..**.*$
.*.*...*$....*$....*.*$
4 1029 1030 1031 1032
.*.*$*..*$$*$....*$*..*$***$.*$
$$$$...*.*$....*.**$**...**$**...*.*$
4 816 1034 0 1035
..**.*$*.*.*$*.*$
4 324 1037 0 0
5 1033 1036 0 1038
$$$$$...**$*****$.**.*$
4 0 0 1040 0
..***$....*$$$$...*$..**.*$.*...*$
$$$$$......*$...*****$
.*.***$..**$
......**$.....**$....*$$$$...**$..*..*$
4 1042 1043 1044 1045
$$$$$$...**$*.*..*$
4 1047 0 378 0
5 1041 0 1046 1048
6 1025 1028 1039 1049
....*.**$***..*$......**$**$**.**$.*.*$..*$
$$.....***$....*.**$....*..*$....*..*$.....*.*$
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4 1051 1052 0 1053
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4 1055 1056 1057 1058
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4 0 1060 324 1061
.***$*...*$.**.**$*.*.*$****$*.**$..*$..**$
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4 0 1063 0 1064
5 1054 1059 1062 1065
$$$.......*$......**$.......*$.......*$
$$.......*$.......*$.......*$
4 0 1067 0 1068
5 0 0 0 1069
6 0 1066 0 1070
.....*$
4 0 443 0 1072
$$$$$.......*$.......*$......*$
4 0 1074 0 509
4 752 0 0 239
5 1073 1075 1076 0
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4 1078 1079 357 1080
.*$$*$.*$
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4 278 0 1082 1083
4 0 324 0 0
.......*$$.**$.**..**$$......*$.......*$
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4 0 1086 1087 339
5 1081 1084 1085 1088
$$$......**$......**$.....***$
4 239 469 469 1090
$$*$.**$.**$.*$***$
4 0 0 1092 0
$$*.*$*..**$...**$*..**$*.**$.**$
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4 1094 1095 1096 962
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$*.*$**.*$.*..*$*$...*$***$
4 1098 0 1099 1100
5 1091 1093 1097 1101
......*$.......*$$......**$$....*$.....*.*$..**..*$
$*$
$$$$$..**$**..*$**.**$
4 1103 1104 0 1105
$.......*$$$......**$.....***$....*$.......*$
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4 0 771 1107 1108
.......*$.....**$.....***$
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.......*$.....*.*$......**$
4 1110 1111 0 1112
5 0 1106 1109 1113
6 1077 1089 1102 1114
7 1016 1050 1071 1115
.......*$......*$.....*$......*$.......*$
$*$.*$*$
4 1117 1118 0 0
5 0 1119 0 0
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......*$.**.***$.****$.**$$**$
4 1072 1121 828 1122
*$**$.*$***$*$
4 0 0 1124 968
.....*$.....*$.....*$
4 0 1126 0 0
5 1123 1125 0 1127
6 1120 1128 0 0
7 0 1129 0 0
8 982 1116 0 1130
.......*$...**$..*..*$..*..*$...**$*$.*$.*$
4 1132 296 296 0
5 889 907 1133 0
$$$$$$......**$......*$
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4 0 278 1135 1136
4 324 0 0 0
5 1137 0 1138 0
6 1134 0 1139 0
$$$$$*$.**...**$.......*$
4 0 0 1141 604
...*$*.*$*.*$*$.*$*$$.....*$
...*$...*$.***$$......**$......**$.......*$
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$$$$$$.....**$.....**$
4 1143 1144 1145 1146
.......*$$$.***$*..*$****$*$
4 1148 0 0 0
5 1142 1137 1147 1149
....*..*$.....**$$.....*$.....*$.....*$
4 1151 0 0 0
5 1152 0 0 0
6 1150 0 1153 1139
7 1140 0 1154 0
$$$$$*$**$
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4 0 0 1156 1157
$$$.*$*.*$.*$
4 0 0 1159 1112
.*....*$..**.***$*.*..*$..*$
*$**$.*$
$$......**$.....*$..**.*.*$.*...*$.*..*$.*...*$
$**$**$$**$.*....**$.*....**$
4 1161 1162 1163 1164
$$$$$$$.....***$
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*$*.....**$......**$
4 1166 0 1167 1168
5 1158 1160 1165 1169
$$$....*$...*.*$..*$..*$..*..*$
.....*$...*.*$..*...*$..**..*$.*..***$*.*$.**$....*$
4 0 1171 0 1172
5 0 1137 1173 1138
..*....*$...*$....***$
4 1175 296 0 0
$$$......*$....**.*$.....*.*$......*$
4 602 0 0 1177
$.......*$$$$$.......*$
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4 0 1179 0 1180
*$.*$**.*.*$.*....*$.*....*$*$$*...*$
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4 1182 1183 1184 1185
5 1176 1178 1181 1186
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4 0 1188 1189 359
$$$**$**$*...**$....**$*.***$
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4 1191 0 1192 0
$$.......*$.......*$$.......*$$.....***$
$**$..*$**$.*$*$*$
4 0 0 1194 1195
5 1190 0 1193 1196
6 1170 1174 1187 1197
*.*$*$
4 0 278 0 1199
5 1200 0 0 0
6 0 0 1201 0
...**$...**$$$$....*$...*.*.*$..*$
.*...***$*$**.*$**.*$$.......*$$...*$
4 0 1203 709 1204
5 0 1205 0 0
$....**$....**$$$$.*....*$.*...*.*$
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.*.*$....*$....*$$$..*$$***$
4 1207 0 1208 1209
$$$$.......*$$$.......*$
*......*$**$*.**$.***$*.*$**$**$.......*$
4 0 409 1211 1212
....*$$......**$
..*$$*$
4 1214 1215 0 0
4 0 509 0 0
5 1210 1213 1216 1217
6 1206 1218 0 0
*$$$$....***$...**..*$.**.*..*$*.*.*$
4 246 0 1220 0
$$...*$....*$..***$
4 0 278 1222 1199
..*.*$....*$*...*$.***$
4 1224 0 0 0
$$$$$......**$
4 0 0 1226 339
5 1221 1223 1225 1227
$$...***$
4 0 0 1229 0
5 0 0 1230 0
..******$.*.....*$.*..***$.*....*$..*..*$...***$
4 1232 296 0 0
5 0 1233 0 0
6 1228 1231 1234 0
7 1198 1202 1219 1235
8 1155 0 1236 0
9 638 949 1131 1237
10 314 1238 0 0
7 303 0 0 0
8 1240 0 0 0
9 1241 0 0 0
10 1242 0 0 0
11 288 307 1239 1243
12 0 235 1244 0
13 0 227 1245 0
14 0 219 1246 0
15 0 211 1247 0
16 0 203 1248 0
17 0 195 1249 0
18 0 187 1250 0
19 0 179 1251 0
20 0 171 1252 0
21 0 163 1253 0
22 0 1254 0 0
23 0 155 1255 0
24 0 146 1256 0
25 0 130 1257 0
26 0 1258 0 0
27 0 1259 0 0
28 0 1260 0 0
29 0 122 1261 0
30 0 95 1262 0
31 0 1263 0 0
32 0 1264 0 0
33 0 1265 0 0
34 0 1266 0 0
35 0 1267 0 0
36 0 1268 0 0
37 0 79 1269 0

The pattern of gliders driving the reaction is the same as that from a gun which fires gliders at generations 6384 * 2^N.

If such a gun with a bounded population was found, then the pattern would be a true sawtooth, since only one glider from the gun at a time would be present on each cycle.

But I don't know how to make the required glider gun. In fact, I don't know of ANY gun which fires gliders at an exact exponential rate. (Things like receding Cordership loops can make guns with growing intervals between successive gliders, but the periods are irregular.)

EDIT:
The caber tossers have been able to create exact powers for a long while, see my post in the gun discussion thread.

BCNU,
-dbell

[I6_I6]

Gliderless parabolic sawtooth:

Code: Select all

x = 153, y = 266, rule = B3/S23
58bo$57bobo$57bobo$58bo44b2o$104bo$58b3o43bob2ob2o$57bo2bo44bobobo2bo$
60bo31bo13bo4b2o$56bo3bo31b3o$60bo34bo19b2o9b2o$27b2o28bobo34b2o19bo
10bo$27bo85bobo8bobo$21b2ob2obo74b3o3b3ob3o5b2o2b2o$19bo2bobobo55bobo
10b2o4b2obo3bob3o7b2o$19b2o4bo13bo45bo9b2o3b2obo5bob2o$37b3o41bo4bo2b
2o10bob2obob2obo$4b2o9b2o19bo21bo22b2obo2bob2o11b2ob3ob2o14b2o$5bo10bo
19b2o19b3o25b2o17bobobo15bo$5bobo8bobo38bob2o43bobobo15b3o$6b2o2b2o5b
3ob3o3b3o28b3o44b3o15b2o$10b2o7b3obo3bob2o4b2o21b2o32b2o12bo17b2o5bo$
19b2obo5bob2o3b2o8b2o44b4o18bo7bo2b2o3b3o$20bob2obob2obo10b2obo2bob2o
39b2ob2o17b2obo6b2o4bo$5b2o14b2ob3ob2o11bo4bo2b2o40b2o20bobo11bobo$7bo
15bobobo17bo68bo13b2o$5b3o15bobobo14bobo$7b2o15b3o65bo35b2o$o5b2o17bo
12b2o52bo16b3o17bo$3o3b2o2bo7bo18b4o50b3o16bo16bo$3bo4b2o6bob2o17b2ob
2o85b2o$2bobo11bobo20b2o40b2o$2b2o13bo63bobo8b2o8b2ob6o10b2o$75bo6b3o
4b2ob3o7b2ob2obob2o10bo$2b2o35bo33b2ob2ob3ob2o3bobo8b2ob2o2bo14bo$2bo
17b3o16bo33b2ob2ob5o4bo4b4o2bob2o3bob2o8bobo$4bo16bo16b3o34bo5bo7bo10b
3ob2o2bo9b2o$3b2o71b2ob2o9bo8b3o2b2ob2o$87b3o8b2o$9b2o10b6ob2o8b2o47bo
11bo$9bo10b2obob2ob2o7b3ob2o53b3o$10bo14bo2b2ob2o8bobo31bo5bo14bo13bo
4b2o$11bobo8b2obo3b2obo2b4o4bo30b2o5b2o26bobobo2bo$12b2o9bo2b2ob3o10bo
22bo7bob2o3b2obo24bob2ob2o$23b2ob2o2b3o8bo22b3o6bob2o3b2obo24bo$32b2o
8b3o19bob2o6b3o3b3o24b2o$32bo11bo20b3o6b3o3b3o$33b3o29b2o$15b2o4bo13bo
$15bo2bobobo$17b2ob2obo$23bo$23b2o6$74b2o5b2o$74b2o5b2o2$78b2o5b2o$78b
2o5b2o4$78b3o3b3o$77bo2bo3bo2bo$81bobo38b2o$77b2o7b2o35bo$62b3o12b2o7b
2o35bob2ob2o$61bo2bo15bo3bo39bobobo2bo$64bo15b2ob2o26bo13bo4b2o$64bo
13b3o3b3o24b3o$61bobo14b2o5b2o15bo11bo$26b2o50bo7bo15b3o8b2o$26bo78bo$
20b2ob2obo77bo4b2o12bo3bo5b2o$18bo2bobobo59bo17bo5b2o3b2o6b2o3b2o4bobo
$18b2o4bo13bo46bo17bob3o6b2o5b2o5b2o6bo$36b3o65b2obobo12b2o3b2o8bo$35b
o11bo58b2obo13b5o8b2o$35b2o8b3o34b2o3b2o35b3o$44bo62bo17bo16b2o$15b2o
22bobobobo60b3o33bo$14bobo5b2ob2o7b2o2bo3b3obo97bo$13bo8bo3bo7b2o3bo2b
obobo96b2o$12bo10b3o15b2o2bo$12b2o27bo2bo33b2o2b2o3b2o39bo5b2o7b2o$78b
2o31b4o13b2o2bo2bo6bobo$6b2o32bo3bo66bo3bo12bo2b2o4bo5bo$7bo8b2o67bo
25bo19b2o6bo4b3o$5bo35b3o41bo26bo2bo15bo2b2o3bo6bo$5b2o74b2o48b3o3bo2b
o$81bo53bo3b3o$5b2o8bob2obo10bo2bo48bo17bo31b3o4bo$5bobo7bo4bo14bo46b
2o12b3ob2o2b2o33bo$6bo8bob2obo10bo3bo60b4o4b2o15bo$3b3o26b4o22b3o39b2o
8b2o7b2ob2o$3bo7b5o41bo2bo49b2o7b2ob2o11b2o$10b2obo3bo42bo67b2o5b2o2b
2o$10b2o5bo28b2o8bo3bo67bobo8bobo$17bo27b3o12bo22bobo23b2o19bo10bo$13b
obo28bobo2bo2b2o3bobo21b2o2bo24bo19b2o9b2o$13b3o28b2o2b2o2b2o29bo15b2o
6b3o$13b2o23b2o8b2o49b2o6bo13bo4b2o$13b2o13b2o8b2o80bobobo2bo$9b2o2b2o
5b2o5bobo89bob2ob2o$8bobo8bobo4b2o91bo$8bo10bo7bobo9b2o17bo59b2o$7b2o
9b2o7bo2bo8bo17b3o32b3o3b3o$27bo12b3o14bob2o31bo2bobo2bo$22b2o3bo14bo
15b3o30bo3bobo3bo$22bo2bobobo28b2o32bo2bobo2bo$24b2ob2obo63bo3bo$30bo
61b2o5b2o$30b2o59b3o5b3o$25b2o64b3o5b3o$25bo$19b2ob2obo$17bo2bobobo$
17b2o4bo13bo$35b3o$34bo11bo$27bo6b2o8b3o$27b2o14bo$14b2o5bo3bo12b2o4bo
$13bobo3bo7b4o2b2o3b2o5bo$12bo10bo3b2ob2ob2o6b3obo$11bo11bo3b2obo8bobo
b2o$11b2o4bobo3bo3b3o9bob2o$18bo9bo63b2o5b2o$5b2o15b3o16bo50b2o5b2o$6b
o15b3o15b3o$4bo18bo$4b2o2$4b2o7bo5b2o$4bobo12b2o17b4o25b3o$5bo5bo7b3o
15bo3bo25b3o$2b3o5b2o7b2o20bo24b5o3b2o$2bo6b2o26bo2bo24b2o3b2o2b2o$8bo
4bo51b2o3b2o$13bo12b3o$7bo17bo3bo17b2o$7b2o2bo12bo5bo12b4o4b2o$23bo3bo
3bo11b3ob2o2b2o12b2o3b2o$23bo7bo5b2o9bo16b2o3b2o$12b2o9bobo3bobo5b2o
27b5o$8b2o2b2o5b2o3b2o3b2o36b3o$7bobo8bobo46b3o$7bo10bo19b2o$6b2o9b2o
19bo$39b3o$21b2o4bo13bo$21bo2bobobo37b3o5b3o$23b2ob2obo36b3o5b3o$29bo
11b2o5b2o17b2o5b2o$29b2o10b2o5b2o19bo3bo$67bo2bobo2bo$66bo3bobo3bo$67b
o2bobo2bo$67b3o3b3o2$91b2o$92bo$92bob2ob2o$67b2o5b2o17bobobo2bo$67b2o
5b2o4bo14bo3b2o$80b3o12bo$71bo11bo8bo2bo$71b3o8b2o9bobo$40b3o5b3o23bo
20b2o$40b3o5b3o22bo4b2o13bobo6b2o$41b2o5b2o22bob2ob3o3b2o8b2o7bobo$43b
o3bo24bobobob2o3b2o20bo$41bo2bobo2bo23bo32bo$40bo3bobo3bo23b3o28b2o$
41bo2bobo2bo25b3o$41b3o3b3o25b3o33b2o$75b3o26bo6bo$76bo26b3o7bo$102b2o
2bo5b2o$24b2o75bo3b2o$24bo16b2o57b2o10b2o$18b2ob2obo16b2o44b2o10b3o9bo
bo$16bo2bobobo62b2ob2o9b2o10bo$16b2o4bo13bo50b4o10bo3b2o6b3o$34b3o51b
2o12b2o2bo8bo$33bo11bo57b3o$33b2o8b3o12b3o43bo$42bo14bo2bo5bo2b2o53b2o
$13b2o28bo16bo4bo3b2o2b2o50bo$12bobo5b2ob2o7b2o2b4o4bo11bo3bo4bo7b2o
50bob2ob2o$11bo8bo3bo7b2o8bobo15bo5b4o9b2o45bobobo2bo$10bo10b3o14b3ob
2o13bobo19b2o7bo15b2o7bo13bo4b2o$10b2o10bo16b2o48bo7b2o5b2o2b2o3b3o5b
3o$86bo2bo7bobo8bobo5bo7bo11b2o9b2o$4b2o72b2o4b5o10bo10bo4b2o5bobo11bo
10bo$5bo33b3o37bo3bobob2o10b2o9b2o11b3o8bobo8bobo$3bo36bo35b3o4bobo48b
2o5b2o2b2o$3b2o35bo17bo17bo13bo4b2o19b2o4b2o3bo13b2o$57b3o29bobobo2bo
9b2o2bo5b2o3b3o3b2o$3b2o9bo2bo39bob2o27bob2ob2o7b2o2b2o3bo8b2o2bo2b2o$
3bobo6b2o4b2o12b2o24b3o27bo13b2o7bo11bob3o$4bo9bo2bo12b2ob2o23b2o27b2o
18b4o12bo3bo$b3o6b2ob2o15b4o89bo3bo$bo6b2ob2o18b2o91b3o$11bo2bo137bo$
8b3o3b3o109bo2b2o11bo7b3o$14bo31b2o79b2ob2o9b2o6bo$11bob2o27b2obo2bob
2o75b2ob2o8bo7bobo$10bo2bo28b2o2bo4bo77b3o9b2o6b2o$10bo25b2o9bo82b2o
10bo$10bo2bo12b2o8b2o10bobo80b2o16b2o$7b2o2b2o5b2o4b2obo85bo16b3o17bo$
6bobo8bobo4b2o38b2o46b3o14b2o17bo$6bo10bo7bo11b2o25b2o46b3o14b2o17b2o$
5b2o9b2o6b2o11bo74b3o$24b3o11b3o24bo45b3o28b2o$20b2o3bo14bo23bobo43bo
32bo$20bo2bobobo35bo2bo42bobobob2o3b2o4b2o4bo9bo$22b2ob2obo13b2o18bo2b
o43bob2ob3o3b2o17bobo$28bo14bo2b2o62bo4b2o7bo4b2o8b2o$28b2o13bobo2bo9b
o3bo2bo45bo16b2o$44bo2b2o8b3o4b2o42b3o8b2o7bo$52bo3bob2o48bo11bo3bo2bo
$48b2o2b3o17b2o43b3o4b2o$46bob2o2bo19bo44bo13bo4b2o$46bobo21bobo57bobo
bo2bo$46bo19b2o2b2o57bob2ob2o$40b2o4bo19b2o61bo$41bo86b2o$41bobo$42b2o
2b2o18bo$46b2o17b3o$64b2o2bo$68b2o$43b2obobo14bo3bobo7bo$43b2obobo18b
2o6b3o$43b2o3bo12bo4b2o6bo$43b2o4b2o8b3o3b2o6bobo$36bo6b2o5b2o9bo4b2o
6b2o$36b3o7b3obo16b2o$39bo5b2o3bobobo8bo3bobo4b2o$38bobo6bo2bo3bo20bo$
38b2o7bobo2bobo3bo5b2o7bo$57bobo13b2o$38b2o16bo3bo7b2o$38bo17bo2bo8bo$
40bo28b3o$39b2o30bo2$45b2o$45bo$46bo20b2o$47bobo17b2o$48b2o8b2o$57b2o$
58b2o8b2o$68bo$69b3o$51b2o4bo13bo$51bo2bobobo$53b2ob2obo$59bo$59b2o!

[dbell]

I figured out how to create the period doubling gun needed for the lineship sawtooth!

Here is the working sawtooth.

Code: Select all

#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 51072 * 2^N.
#C Its output and a few preceding gliders repeatedly ignites the
#C diagonal line left by a receding line-ship.
#C The minimum repeating population is about 4621 cells.
#C David I. Bell, 15 August 2026
x = 16046, y = 15950, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo123bo$224bobo95bobo27boo10bobbo123bo$239b
oo84bo11b3o23bo3bo124bo$239boo83b3o38boo126bo$245bo78bo169bo$244b3o75b
oo35bo135bo$223bo19booboo76bo13b3o16boo137bo$222bobo18bobo45bo30bobbo
12b3o5boo3boobboo5bo134bo$223bo19bo48bo29bobo13boo6boo3boo4boo139bo$
290b3o29bo14bo23bo137bo$267b3o65boobbo18b4o138bo$221b4o40b7o6bo57bo3bo
9bo6bobo141bo$221boo3bo13bo23b9o4bo58bobbo10bo5bobboobo139bo$222bo4bo
11bobo21bo7b3obboo59b3o7bo9bo4bo140bo$224boboo11bo24b3o6bo3bobbo31boob
o27boo6bo6bo145bo$225bo15boo22boo11b3o30b3obo6bobo19b4o11bobbo142bo$
242bo25bo10bo30bo4bobo4bo25bo3bo6boo145bo$239b3o27bo18boo21boo6bobo3bo
23bo157bo$240boo28bo17boo22bo3bobbobboo26bobo155bo$237bo77boboo3boboob
o11b3o9bo157bo$237boo75bobo8bobo11b4o167bo$237boo75bobo21boobboo167bo$
227boo6boo102boobo169bo$227boo4boo20bo83b3o171bo$233boobo18bo84bo173bo
$235boo18bo8bo23b3o5boo217bo$262bobo20boobobo5boo218bo$256b3obbo3bo19b
obbobo226bo$257bob5o10boboo5b3o232bo$263bo4boo4bobo3booboo18b3o26boo
185bo$235boo21boo8boo6boob3obbo18bo15bo9bob4o185bo$235boo67bo9bo3b5o5b
oobo3boo184bo$313bobo7boo4bobbooboo185bo$313bo7boboo5b6o187bo$314bo8b
oo6bo192bo$315bo3b4o202bo$320b3o203bo$527bo$528bo$266bo85bo176bo$265b
4o52boo29bobo175bo$263b5obo51boo29boo177bo$257b3obbo6boo261bo$261bo3bo
b3o263bo$262bobobboo265bo$319b3o213bo$319bo216bo$320bo216bo$538bo$539b
o$263boo275bo$263boo276bo$542bo$543bo$544bo$545bo$546bo$547bo$548bo$
549bo$550bo$335b3o213bo$295bo39bo216bo$294bobo27bo11bo216bo$293booboo
26bo229bo$294bobbo26bo230bo$296b3o22bob3obo228bo$296bobo22bob5o229bo$
297boo26bobo230bo$297boo12boo9boo235bo$311boo9boo236bo$323bo237bo$323b
oo237bo$295bo28bo3boo233bo$279boobo11bobo27bo239bo$278b3obo9b3oboo24bo
boo239bo$277bo4bobo8bob3o25bo242bo$278boo6boboobbo26boo246bo$279bo3bo
bbo4b3o25boo247bo$282boboo6bobob3o270bo$281bobo9boo4bo11boo257bo$281bo
bo9bobo3bo10bobboo256bo$292b3ob4o10bo4bo256bo$294bo19bo258bo$273bo9boo
7boo17bobbo259bo$272bobo8boo26b3o261bo$271booboo300bo$272bobbo29boo
270bo$274b3o28boo271bo$274bobo302bo$275boo303bo$275boo304bo$582bo$583b
o$584bo$273bo311bo$274bo311bo$274boo311bo$273b3o312bo$589bo$590bo$274b
3o11bo302bo$272bo4bo8booboo301bo$272boo3bo10bo304bo$274b4o11bo304bo$
288boo305bo$287bobbo305bo$288boo307bo$598bo$599bo$600bo$277boo322bo$
277boo323bo$603bo$604bo$605bo$606bo$607bo$608bo$609bo$610bo$611bo$612b
o$613bo$614bo$615bo$616bo$617bo$618bo$619bo$620bo$621bo$622bo$623bo$
624bo$625bo$626bo$627bo$628bo$629bo$630bo$631bo$632bo$633bo$632boo$
635b3o$635bo$636bo1594$2231b3o$2231bo$2232bo3190$5423b3o$5423bo$5424bo
6382$11807b3o15boo6bo11boo$11807bo16bobbo4bobo10boo$11808bo11boobb3obo
3bobo$11820bo6bobobooboo$11818bobo3boo3bobo$11818boo4bob4obboboo$
11826bo3boboboo$11825bo3bobo$11824bo3bobo$11809bo14boo3bo$11808bobo$
11809bo$$11837boo$11837boo$11814bo37boo$11813bobobo33bobbo$11808boo3bo
4bobb3o28boobo$11808boo4bo4bobobo31bo$11821boo32boo$11840boo$11816b3o
5boo15bo$11824boo12b3o$11831boo5bo$11831bobo$11833bo$11833boo3$11809b
oo15bo$11808bobo14bobo$11808bo16bobo$11807boo17bo$11821boo$11820bobo$
11820bo$11819boo15$11801bo$11801b3o42boo$11804bo42bo$11803boo42bobo$
11848boo$$11792booboo$11792boobo$11795bo$11795b3o4boo$11793boo3bo3boo
43boo$11792bobb4o48boo4boo$11792boobo15boo40boo$11793bobb3o12bobo$
11793bo5bo13bo$11794b5o14boo$11796bo55boo$11848boobboo$11847bobo$
11847bo12boo$11846boo11bobo$11859bo$11858boo5$11860boo$11859bobo23bo$
11859bo23b3o$11858boo22bo$11866boo14boo$11866boo10$11885boo$11880boobb
obbo$11865boo13bobobboo$11864bobo16boo$11864bo19bo$11863boo16bobboboo$
11880boboboobo$11881bobo$11882bobboo$11883boob3o$11889bo$11883boob3o$
11883boobo$$11875boo$11866boo7boo$11867bo$11867bobo$11868boo$$11865bo$
11863b3o$11862bo25boo$11862boo24boo5$11873bo$11872bobo$11852boo18bobo$
11851bobo5boo12bo$11851bo7boo9b3o$11850boo18bo$$11864bo$11860boobobo$
11859bobobobo$11856bobboboboboo$11856b4oboobbo$11860bo4bo$11856boobbob
3o$11856boo3boo4012$16029boo$16023boo4boo$16022boboo$16022boboo$16023b
o$$16023boo$16021booboo$16018bobbo3bo11boo$16017bobobb3o12boo$$16017bo
3bo$16021bo$16017bo$16017bobo$16018bo$$16013bo$16012bobbo$16015bo27bo$
16012bo28boobo$16012bobo27bo$16014bo22boo3bo$16010bo3boo26boo$16009bo
4boo27bo$16010bobboo28boo$16012bobo28boo$16039bobo$16039b5obo$16023b3o
4bo8bob3obo$16023bo6bo11bo$16023bo6bo11bo$16024bobbo14bo$16004boo22bo$
16004boo21b3o$16029boo$16027boboo$16027bobo$16028bo3$16012boo$16012boo
12boo$16025bo$16025bo$16025b7o$16026bo5bo$16027b3obbo$16027bo4bo$
16028bobbo$16028b3o!

It is so nice to finally get this to work.

EDIT:

A rearrangement of the Cordership and glider in the caber tosser allows it to produce a lower period glider at the start, which allows the initial length of the sawtooth to be halved.

The smaller version barely fits within an expanded life viewer window, so now you can see it even though you can't run it there.

Code: Select all

#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 25536 * 2^N.
#C Its output and three preceding gliders repeatedly ignites the
#C diagonal line left by a receding line-ship.
#C The minimum repeating population is about 4621 cells.
#C This is a smaller version of a previous line ship sawtooth.
#C David I. Bell, 16 August 2026
#C [[ MAXGRIDSIZE 14 ]]
x = 16046, y = 15950, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo123bo$224bobo95bobo27boo10bobbo123bo$239b
oo84bo11b3o23bo3bo124bo$239boo83b3o38boo126bo$245bo78bo169bo$244b3o75b
oo35bo135bo$223bo19booboo76bo13b3o16boo137bo$222bobo18bobo45bo30bobbo
12b3o5boo3boobboo5bo134bo$223bo19bo48bo29bobo13boo6boo3boo4boo139bo$
290b3o29bo14bo23bo137bo$267b3o65boobbo18b4o138bo$221b4o40b7o6bo57bo3bo
9bo6bobo141bo$221boo3bo13bo23b9o4bo58bobbo10bo5bobboobo139bo$222bo4bo
11bobo21bo7b3obboo59b3o7bo9bo4bo140bo$224boboo11bo24b3o6bo3bobbo31boob
o27boo6bo6bo145bo$225bo15boo22boo11b3o30b3obo6bobo19b4o11bobbo142bo$
242bo25bo10bo30bo4bobo4bo25bo3bo6boo145bo$239b3o27bo18boo21boo6bobo3bo
23bo157bo$240boo28bo17boo22bo3bobbobboo26bobo155bo$237bo77boboo3boboob
o11b3o9bo157bo$237boo75bobo8bobo11b4o167bo$237boo75bobo21boobboo167bo$
227boo6boo102boobo169bo$227boo4boo20bo83b3o171bo$233boobo18bo84bo173bo
$235boo18bo8bo23b3o5boo217bo$262bobo20boobobo5boo218bo$256b3obbo3bo19b
obbobo226bo$257bob5o10boboo5b3o232bo$263bo4boo4bobo3booboo18b3o26boo
185bo$235boo21boo8boo6boob3obbo18bo15bo9bob4o185bo$235boo67bo9bo3b5o5b
oobo3boo184bo$313bobo7boo4bobbooboo185bo$313bo7boboo5b6o187bo$314bo8b
oo6bo192bo$315bo3b4o202bo$320b3o203bo$527bo$528bo$266bo85bo176bo$265b
4o52boo29bobo175bo$263b5obo51boo29boo177bo$257b3obbo6boo261bo$261bo3bo
b3o263bo$262bobobboo265bo$319b3o213bo$319bo216bo$320bo216bo$538bo$539b
o$263boo275bo$263boo276bo$542bo$543bo$544bo$545bo$546bo$547bo$548bo$
549bo$550bo$335b3o213bo$295bo39bo216bo$294bobo27bo11bo216bo$293booboo
26bo229bo$294bobbo26bo230bo$296b3o22bob3obo228bo$296bobo22bob5o229bo$
297boo26bobo230bo$297boo12boo9boo235bo$311boo9boo236bo$323bo237bo$323b
oo237bo$295bo28bo3boo233bo$279boobo11bobo27bo239bo$278b3obo9b3oboo24bo
boo239bo$277bo4bobo8bob3o25bo242bo$278boo6boboobbo26boo246bo$279bo3bo
bbo4b3o25boo247bo$282boboo6bobob3o270bo$281bobo9boo4bo11boo257bo$281bo
bo9bobo3bo10bobboo256bo$292b3ob4o10bo4bo256bo$294bo19bo258bo$273bo9boo
7boo17bobbo259bo$272bobo8boo26b3o261bo$271booboo300bo$272bobbo29boo
270bo$274b3o28boo271bo$274bobo302bo$275boo303bo$275boo304bo$582bo$583b
o$584bo$273bo311bo$274bo311bo$274boo311bo$273b3o312bo$589bo$590bo$274b
3o11bo302bo$272bo4bo8booboo301bo$272boo3bo10bo304bo$274b4o11bo304bo$
288boo305bo$287bobbo305bo$288boo307bo$598bo$599bo$600bo$277boo322bo$
277boo323bo$603bo$604bo$605bo$606bo$607bo$608bo$609bo$610bo$611bo$612b
o$613bo$614bo$615bo$616bo$617bo$618bo$619bo$620bo$621bo$622bo$623bo$
624bo$625bo$626bo$627bo$628bo$629bo$630bo$631bo$632bo$633bo$632boo$
635b3o$635bo$636bo1594$2231b3o$2231bo$2232bo3190$5423b3o$5423bo$5424bo
6382$11807b3o15boo6bo11boo$11807bo16bobbo4bobo10boo$11808bo11boobb3obo
3bobo$11820bo6bobobooboo$11818bobo3boo3bobo$11818boo4bob4obboboo$
11826bo3boboboo$11825bo3bobo$11824bo3bobo$11809bo14boo3bo$11808bobo$
11809bo$$11837boo$11837boo$11814bo37boo$11813bobobo33bobbo$11808boo3bo
4bobb3o28boobo$11808boo4bo4bobobo31bo$11821boo32boo$11840boo$11816b3o
5boo15bo$11824boo12b3o$11831boo5bo$11831bobo$11833bo$11833boo3$11809b
oo15bo$11808bobo14bobo$11808bo16bobo$11807boo17bo$11821boo$11820bobo$
11820bo$11819boo15$11801bo$11801b3o42boo$11804bo42bo$11803boo42bobo$
11848boo$$11792booboo$11792boobo$11795bo$11795b3o4boo$11793boo3bo3boo
43boo$11792bobb4o48boo4boo$11792boobo15boo40boo$11793bobb3o12bobo$
11793bo5bo13bo$11794b5o14boo$11796bo55boo$11848boobboo$11847bobo$
11847bo12boo$11846boo11bobo$11859bo$11858boo5$11860boo$11859bobo23bo$
11859bo23b3o$11858boo22bo$11866boo14boo$11866boo10$11885boo$11880boobb
obbo$11865boo13bobobboo$11864bobo16boo$11864bo19bo$11863boo16bobboboo$
11880boboboobo$11881bobo$11882bobboo$11883boob3o$11889bo$11883boob3o$
11883boobo$$11875boo$11866boo7boo$11867bo$11867bobo$11868boo$$11865bo$
11863b3o$11862bo25boo$11862boo24boo5$11873bo$11872bobo$11852boo18bobo$
11851bobo5boo12bo$11851bo7boo9b3o$11850boo18bo$$11864bo$11860boobobo$
11859bobobobo$11856bobboboboboo$11856b4oboobbo$11860bo4bo$11856boobbob
3o$11856boo3boo4012$16029boo$16023boo4boo$16022boboo$16022boboo$16023b
o$$16023boo$16021booboo$16018bobbo3bo11boo$16017bobobb3o12boo$$16017bo
3bo$16021bo$16017bo$16017bobo$16018bo$$16013bo$16012bobbo$16015bo27bo$
16012bo28boobo$16012bobo27bo$16014bo22boo3bo$16010bo3boo26boo$16009bo
4boo27bo$16010bobboo28boo$16012bobo28boo$16039bobo$16039b5obo$16023b3o
4bo8bob3obo$16023bo6bo11bo$16023bo6bo11bo$16024bobbo14bo$16004boo22bo$
16004boo21b3o$16029boo$16027boboo$16027bobo$16028bo3$16012boo$16012boo
12boo$16025bo$16025bo$16025b7o$16026bo5bo$16027b3obbo$16027bo4bo$
16028bobbo$16028b3o!

EDIT 2:

I made a table of the generation numbers where a glider ignites the fuse and the length of the fuse, along with the differences between successive entries.

The results are quite interesting.

Code: Select all

Gen          deltaGen                   Length       deltaLength
---          --------                   ------       -----------
0            -                          295          -                        (291 works)
7728         7728        2^4*3*7*23     607          312         2^3*3*13     (603 diff 308 works)
23184        15456                      1223         616         2^3*7*11
54096        30912                      2455         1232        2^4*7*11
115920       61824                      4919         2464        2^5*7*11
239568       123648                     9847         4928
486864       247296                     19703        9856
981456       494592      2^10*3*7*23    39415        19712       2^8*7*11

The differences of the generation numbers and the differences of the fuse lengths are both always divisible by seven. (The first entry in the table is an anomaly which happens to work. Adjusting the fuse length slightly can make the first difference follow the rest of the pattern.)

I thought that maybe the common factor of seven might be removable, and so it can.

Code: Select all

#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 3648 * 2^N.
#C Its output and two preceding gliders repeatedly ignites the
#C diagonal line left by a receding line-ship.
#C The minimum repeating population is about 4621 cells.
#C This is a much smaller version of a previous line ship sawtooth.
#C David I. Bell, 22 August 2026
x = 1462, y = 1366, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo121boo$224bobo95bobo27boo10bobbo123b3o$
239boo84bo11b3o23bo3bo123bo$239boo83b3o38boo125bo$245bo78bo$244b3o75b
oo35bo$223bo19booboo76bo13b3o16boo$222bobo18bobo45bo30bobbo12b3o5boo3b
oobboo5bo$223bo19bo48bo29bobo13boo6boo3boo4boo$290b3o29bo14bo23bo$267b
3o65boobbo18b4o$221b4o40b7o6bo57bo3bo9bo6bobo$221boo3bo13bo23b9o4bo58b
obbo10bo5bobboobo$222bo4bo11bobo21bo7b3obboo59b3o7bo9bo4bo$224boboo11b
o24b3o6bo3bobbo31boobo27boo6bo6bo$225bo15boo22boo11b3o30b3obo6bobo19b
4o11bobbo$242bo25bo10bo30bo4bobo4bo25bo3bo6boo$239b3o27bo18boo21boo6bo
bo3bo23bo$240boo28bo17boo22bo3bobbobboo26bobo$237bo77boboo3boboobo11b
3o9bo$237boo75bobo8bobo11b4o$237boo75bobo21boobboo$227boo6boo102boobo$
227boo4boo20bo83b3o$233boobo18bo84bo$235boo18bo8bo23b3o5boo$262bobo20b
oobobo5boo$256b3obbo3bo19bobbobo$257bob5o10boboo5b3o$263bo4boo4bobo3b
ooboo18b3o26boo$235boo21boo8boo6boob3obbo18bo15bo9bob4o$235boo67bo9bo
3b5o5boobo3boo$313bobo7boo4bobbooboo$313bo7boboo5b6o$314bo8boo6bo$315b
o3b4o$320b3o3$266bo85bo$265b4o52boo29bobo$263b5obo51boo29boo$257b3obbo
6boo$261bo3bob3o$262bobobboo$319b3o$319bo$320bo3$263boo$263boo10$335b
3o$295bo39bo$294bobo27bo11bo$293booboo26bo$294bobbo26bo$296b3o22bob3ob
o$296bobo22bob5o$297boo26bobo$297boo12boo9boo$311boo9boo$323bo$323boo$
295bo28bo3boo$279boobo11bobo27bo$278b3obo9b3oboo24boboo$277bo4bobo8bob
3o25bo$278boo6boboobbo26boo$279bo3bobbo4b3o25boo$282boboo6bobob3o$281b
obo9boo4bo11boo$281bobo9bobo3bo10bobboo$292b3ob4o10bo4bo$294bo19bo$
273bo9boo7boo17bobbo$272bobo8boo26b3o$271booboo$272bobbo29boo$274b3o
28boo$274bobo$275boo$275boo4$273bo$274bo$274boo$273b3o3$274b3o11bo$
272bo4bo8booboo$272boo3bo10bo$274b4o11bo$288boo$287bobbo$288boo4$277b
oo$277boo117$719b3o$719bo$720bo454$1175b3o15boo6bo11boo$1175bo16bobbo
4bobo10boo$1176bo11boobb3obo3bobo$1188bo6bobobooboo$1186bobo3boo3bobo$
1186boo4bob4obboboo$1194bo3boboboo$1193bo3bobo$1192bo3bobo$1177bo14boo
3bo$1176bobo$1177bo$$1205boo$1205boo$1182bo37boo$1181bobobo33bobbo$
1176boo3bo4bobb3o28boobo$1176boo4bo4bobobo31bo$1189boo32boo$1208boo$
1184b3o5boo15bo$1192boo12b3o$1199boo5bo$1199bobo$1201bo$1201boo3$1177b
oo15bo$1176bobo14bobo$1176bo16bobo$1175boo17bo$1189boo$1188bobo$1188bo
$1187boo15$1169bo$1169b3o42boo$1172bo42bo$1171boo42bobo$1216boo$$1160b
ooboo$1160boobo$1163bo$1163b3o4boo$1161boo3bo3boo43boo$1160bobb4o48boo
4boo$1160boobo15boo40boo$1161bobb3o12bobo$1161bo5bo13bo$1162b5o14boo$
1164bo55boo$1216boobboo$1215bobo$1215bo12boo$1214boo11bobo$1227bo$
1226boo5$1228boo$1227bobo23bo$1227bo23b3o$1226boo22bo$1234boo14boo$
1234boo10$1253boo$1248boobbobbo$1233boo13bobobboo$1232bobo16boo$1232bo
19bo$1231boo16bobboboo$1248boboboobo$1249bobo$1250bobboo$1251boob3o$
1257bo$1251boob3o$1251boobo$$1243boo$1234boo7boo$1235bo$1235bobo$1236b
oo$$1233bo$1231b3o$1230bo25boo$1230boo24boo5$1241bo$1240bobo$1220boo
18bobo$1219bobo5boo12bo$1219bo7boo9b3o$1218boo18bo$$1232bo$1228boobobo
$1227bobobobo$1224bobboboboboo$1224b4oboobbo$1228bo4bo$1224boobbob3o$
1224boo3boo60$1445boo$1439boo4boo$1438boboo$1438boboo$1439bo$$1439boo$
1437booboo$1434bobbo3bo11boo$1433bobobb3o12boo$$1433bo3bo$1437bo$1433b
o$1433bobo$1434bo$$1429bo$1428bobbo$1431bo27bo$1428bo28boobo$1428bobo
27bo$1430bo22boo3bo$1426bo3boo26boo$1425bo4boo27bo$1426bobboo28boo$
1428bobo28boo$1455bobo$1455b5obo$1439b3o4bo8bob3obo$1439bo6bo11bo$
1439bo6bo11bo$1440bobbo14bo$1420boo22bo$1420boo21b3o$1445boo$1443boboo
$1443bobo$1444bo3$1428boo$1428boo12boo$1441bo$1441bo$1441b7o$1442bo5bo
$1443b3obbo$1443bo4bo$1444bobbo$1444b3o!

The fact that the generation number, fuse length, and gun outputs all scale together by exact powers of two means that it is probably easy to prove by induction that the sawtooth really works. Such a calculation might also find smaller periods which will also work.

EDIT 3:

I was so pleased about the removal of a common factor of seven from the sawtooth that I completely overlooked that there was also a common factor of three.

The factor of three can also be removed.

Code: Select all

#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 2432 * 2^N.
#C Its output repeatedly ignites the diagonal line left by a
#C receding line-ship.  The minimum repeating population is
#C about 4621 cells.  This is a much smaller version of a previous
#C line ship sawtooth.
#C David I. Bell, 28 August 2026
x = 626, y = 547, rule = B3/S23
332b3o$331bo3bo$330bo4bo8boo3b3o$330bobbobo7b4o$330boobobo6bo3boo$332b
oobobbo4boobobo$334boobbo$335b3o13bo$324b3o21bobbo$323bobbo22b3o$322bo
4bo29b3o$322bobb3o$322bo5bo23b3o$293boo28b7o24bo$294bobbo4bo26bo23bo$
291bobb3obobbobo25bo$291bobbo4b4o24boo$291bobbo$294bo6bo$293boobo$301b
o11boo$299boo12boo$276boo$276b3o$276boobo$280bo$272bo3boo3bo4boo$282bo
3boo19bo$279bobo15bo8boo12b3o$279bo17boo6bobbo13bo$274bo4bobo11bobboob
oo5boo13bo$294b3ob3o7boo$278b4o13bo3boo6booboo$278boo14b3o11bobo$294b
3o12bo$271boo12boo9b3o$272bobbo4bo4boo10boo$269bobb3obobbobo$269bobbo
4b4o26boo$269bobbo34boo25bo$272bo6bo54bobo$271boobo59boo$279bo$277boo
9$288bo$288bo$272bobbo12boboboo$273b3ob3o9boobobo$273boobobo12boobo$
263b3o9b3o15bo$262bo3bo9boo$261bo4bo$260bo3bo$260bobbob3o$260bo7bo10b
oo$262bo3bobo10boo$262bo3boboo27bo$264b3oboo23boobobo7bo$280boo11bobb
ooboobbooboo$280boo11bo5bobo5bo$294boobbo8bo$298bobb3obbo$264boo32b3o$
264boo52bo$265bo52bobo$318boo$265bo22boo$281bo6boo$280bo$252b3o8bo16bo
bo$263bo5bo11bo18boo$256bo6bo3bo31bobo$252bo3boo8b3o32bo$254bobo9boo$
251b3o$253bo$228bo$228bo23boo$228bob3o20boo$230b3o20bo$231bo13b3o5boo$
231boo19boo$232bo$214bo6boo9boo13bo$213bobo3bo3bo22boo$212bo3bobo3boo
5booboo11b3o$213bobobboboboo6b3o12bo22boo$214bo3bobboo7bo12bo23bobo$
218bo4bo19bo3boo20bo31bo$219bobbo24boo51bo$198bo22bo22bo55b3o$190b3o3b
4o45bobbo$190bobo3booboo44b3o$190b3obbo$195boo3bo$196b4o102bo$197b3o
10boo18boo70bobo$210boo18boo70boo3$212boobo$212bo4bo$212bo5bo$215bobbo
$214bobboo19boo$205bo7bobbo21boo$194boo9b3o6bobo$193bobobo7b3o$193bo3b
oo5bo3bo$194boo8b4o6boo$194b3o7boboo4boobbo26bo$213boboo26bo$210booboo
30bo5bo$210b3o31bo6bobo$210bo32bo3bobbo$210boobbo29bobboboboo$198boo
11b3o35boboo$198boo11boo50boo$263boo$209bo$207b3o75bo$206bobbo74bo$
207bobbo73b3o$208bobo$169bo38b3o$165b5o7boo92boo$165bo3bobo4b3o92boo$
165b3o3b3o3b3o72boo3bo28bo$171boobb3o72b3o4boo27bobo$171bo73b3obo8boo
26boo$168b3o16boo60bobobb5o$168boo17boo61bo3b3o3$237bo$237bo7bo$237bo
5b3o$236boo3bobo$195boo45bobbo$195boo44bobboo$183bob4o$168bo3b3obo6boo
4bo$167bobo3bobobo5bo3boboo$167bob7oboo5b3obo$168b3oboo3bo$174b3o43bo$
175bo42booboo$159boobo7boo48bo$158b3obo6bobbo56boo$157bo4bobo4bo58bobb
o$158boo6bobo3bo48boo6boo$159bo3bobbobboo49bobbo$162boboo3bo49boo3bo
44bo$161bobo55bo4bo43bo$161bobo55bo3bo44b3o$220bobbo$221bo15boo$236bo
bbo$105b3o129boo$105b3o14boo146bo$104bo3bo7bobo4boo145bobo$105boob3o5b
obbobb3o145boo$105boo4bo4bobob6o41bo$108bobbo9bobboo40bobo$109boo11b3o
6boo18b3o15bo$123bo7boo36bo46bo$155bo10bobo45booboo$151bo3boo9bo50boo$
153bobo58b3o$133bo16b3o63bo3bo$131boobbo16bo22boo38bo3bo$131bo4bo38boo
39b3obo$132boobbobboo10boo40bo24boo$133boboobboo11boo38bobo22bobo$131b
4o17bo38booboo22bo$131b3o18boo37boo16boo6boo$111boo13boo23boo44boo9bo
bbo4b3o$111boo13boo63b3obbo12bobbobbooboo$116bo78boboo15bobb3o$115bob
oo4bo69bobbo17boo$99bo15bobbo4bobbo69bo11bo$98bobo15boboo5boo67boo11b
oo3bo$97bo3bo15boo89bo3boo$97bo3bo13bobo76bo13boboboo$97bobob3o12bo29b
o29b5o11booboo11bo3boo26bobo10bo$98boobobbo39booboo26boobbo15bo13b3o
29boo9bo$102bobo71bobbo12bo16b3o29bo10b3o$102boo43boo28boo3bobo9bo$
148bo34bo$142bo3bo$146bo3bo57bo$166bobo38b3o44bo$166boo42bo43bobo$144b
o22bo39booboo35boo5boo$96bo33bo14b3o58booboo37boo$96bo33bo5b3o58boo7b
ooboo36bo$96bo14boo16bobo3boobbo57boo8bobbo46boo$97boo12boo17bo3bo5bo
67b3o46bobo$97b3o30bo3bo73boo50bo$97boo36bobboo121bo$136boo7boo115bo$
145boo116bo$262boo$205boo$96bo22boo84boo58boo$95bobo21boo144bobo$95bo
bbo52bo116bo$150bobo74boo40bo$151bo76boo40bo$94bobbo45bo71boo10bo43bo$
94boob3o33boo9boo70boo52boo$96boobbo31bob3o8boo68bo$97bobbo31bo3bo10bo
125boo$89b3o5bobo33boobo5b5o126bobo$88bo45bo10bo89bo40bo$88bo3bo142boo
40bo$86boo3boo141bobo41bo$85bobbobobbo185bo$85bobbobobboo183boo$87boob
oobbo$88bo4bo43boo142boo$91booboo41boo142bobo$90b4o190bo$91boo57bobo
42boo88bo$150boo44boo88bo$151bo31boo10bo91bo$184boo100boo49b3o$183bo$
71bobo215boo47bo15boo$71bobobo7bo22bobo180bobo46boob3o10boo$70bobboobo
4b3o22boo19b3o73bo63b3o22bo32bo11bob4o11boo$71boo3boboboobo23bo19b3o
73boo62bobo23bo30boo11bob3o$71boo3boob5o42bo3bo71bobo62b3o24bo28boboo
11b3o15bo$75boboo3boo43boob3o150boo10bo27bobboo11bo14boobbo$74bobo12b
oo36boo4bo148bobboo7boo25b4ob3o24bo4bo$89boo39bobbo135boo11booboo33bo
bbobobboo22bo$131boo134booboo14bo10boo22bobobob3o6booboo15boo4boo$267b
oobboo10boo12bobo22boob3obo6booboo12booboo4boo$266boo3boo11bo7boo6bo
21b4obbobo6boboo14bo$163boo102boobboo19boo7bo23bo3bo8boo$95bo68boo61bo
40bobo31bo22bo3bo$94bobo54boo10bo63bo75bo21bobbo12boo$96bo55boo73bo74b
oo37boo$91boo3bo54bo78boo121bo$78boobo6boobo111bo26boo12boo38b3o18boo
45b4o$74bo3b6o4boobo111bo21bo3b3o11boo36b3obo19bobo44b4o$40bo32bo5bo4b
o3boo81bo31bo22b3o15bo37booboo10bo10bo17boo$40bo32bo11bo4bo4boo74boo
31boo21bo15b3o36booboo9bobo10bo$40bo33bo9bo5booboo75bobo31b3o19boo15b
3o38bo11bobboo9bo41b4o$44bo12bo21bo124boo20b3o16bo49b3obbo10bo41b3o$
40b3obbo10boo21bobbo136boo7bo14bobbo25boo14b4o6b3o9boo42bo$39bo4bo11bo
24bo87boo48boo5bo16b3o5boo19boo14boob3o37boo$39bo3bo124bo59bo15bo6boo
8bo14b3o7bobbobboo19boo15bobbo$40b3o125bobbo54b3o31bobo13bo4bo4b3o3bo
20bobo7b3o4bobboo8bo$26bo30b3o21boo83boob4o30bo55bo3bo16bobobbobbobbo
24bo12bobboo9boo$26bo7bo20boob3o20boo48boo32bo20b3o13bobo55bobo13bobbo
5bobo29bo11b4o9bobbo$26bo5b3o4bobo13boobbo72boo31bo3b3obbo27bobbo55bo
19boo3boo30bo24bobo$25boo3bobo6bobo13booboo4boo65bo33bobbobbob3o3bobo
38boo55bobbo38bo23boo$31bobbo4bobo14bobo5boo101boo4b3o4bo38bo7boo32b4o
13b3o37boo$30bobboo4bobo15bo111boobobo26bobbo22boo12bobo16bo4bo69bo$
40boo128boobo14bo6boo4boob3o26bo7bobbo17bo58boo13boo$90bobo80bo12b4o5b
oo6boobbo11b3o11bo7bobbo14bo3bobbo54bobo5boobbobbo$72bobo15boo47bo18bo
26bo3bo14bobbo11bobo11bo7bo3bo13bob3obo58bo4boobbobbo$37boo33b3o16bo
47boo16bobo25bobbo15bobo14boo19bobo15b3obo60bo11bo$28boo7boo33boo64bob
o15booboo25b3o30bobbo20bo82bo9b4o$28boo25bo100boo16boo44boo30boo73bo6b
obbobo$54bobo105boo9bobbo43bo30bobo4boo66boo5boo4boo$54bobo18bo80b3obb
o12bobbo38bo36bo4boo78bo$18bo35bobo16bobo84boboo53boo75bobbo31boo$18bo
36b3o15b3o82bobbo53bobo80bo30bobo$18bo39b3o15bo84bo11bo33boo6bo78bo3bo
33bo$22bo35boo12b5o22boo58boo11boo3bo29boo4boo80b4o34bo$18b3obbo76boo
71bo3boo35bobo117bo$17bo4bo76bo59bo13boboboo36boo118bo$17bo3bo135boob
oo11bo3boo24bo132bo$18b3o10bo128bo13b3o26bo133bo$30boboo123bo16b3o161b
o$30bob3o124bo179bo$17bobo11bo3bo71bo107boo123bo$17bobo12b3o72boo106b
oo124bo$17bobo13bo72bobo64bo168bo$17bobo11bo140b3o45boo108boo11bo$18b
oo10bobo142bo43bobo122bo$30boboo138booboo44bo108bobbo11bo$144bo26boob
oo157bo12bo$36bo3boo103boboobobo9boo7booboo156bo14bo$32boob3obboo97b3o
3b4o3bo9boo8bobbo136b3o18boo13bo$30bo6bo107bobbooboo20b3o138bo27bo6bo$
30boo5bo106bo28boo138bo27bobo6bo$35bo106b3o196bobbo6bo$142b3o17boo178b
oo8bo$22boo138boo189bo$22boo330bo$170boo183bo$75bo94boo184bo$75boo280b
o$74bobo55b3o223bo$131bo3bo52boo169bo$12bo117bo3boo34boo15bobo158bo11b
o$11bobo16bo100bo38boo17bo157bobo11bo$11bobboo12boo102b4o22b4o185bobo
12bo$9b7o13boo103boboo24bo185bo14bo$8bobbo3bo118bobbo6bobooboo7bo4bo
116b3o81bo$7b3obb7o116boo6b5obboo7boobo119bo75bo6bo$9b3obbo128bobb3obo
10bo119bo75bobo6bo$5bo4booboo134bo207bobbo6bo$4boo5b3obobbo339boo8bo$
3boboo5b3oboo116bo234bo$3bobboo7bo118bo140bo24bo69bo$b4ob3o124bobo138b
3o22bobo69bo$obbobobboo33bo90bo138b3obo61b3o30bo$bobobob3o33boo89boo
136bo3bo22bobbo3bob3o28bobo31bo$bboob3obo32bobo89b3o134boobbobbo22bo4b
o31bo3bo31bo$bb4obbobo259b3obb4o23boboobobo28bo3bo32bo$5bo3bo122bo4boo
133bo3bobbo23boo3bo29bo17boo6bo11bo$5bo3bo122bo5bo133bo6bo24bo33bo4boo
11boo5bobo11bo$5bobbo123bo5bo135bobbo37bo22bo6bo17bobo12bo$137bo138boo
boo33bobo22bo5bo18bo14bo$114b3o131b3o25bo14boo22bo23boo39bo$114b3o133b
o40boo48bo3bo28bo6bo$115bo133bo92bobo10boo16bobo6bo$6boo108boo238bo16b
obbo6bo$117bo237b3o6boo8boo8bo$116bo14boo4boo200b3o13bo8boo19bo$131boo
4boo116boo7boo9bobo60bo3bo43bo$255b3o6boo10boo61bobbo44bo$11boo136bo
105boobobo10boobboo48bobo13boo45bo$10bobo101boo32bo109boo11boobbo48bo
33bo30bo$3b3o4boo91bo10boo31boo127b6o43bobbo26bobboo30bo$9b3o86bobbobo
bbo3bo4bo31boo127boob4o11bo32bobo24bo3bo32bo$9boo87bo4boob5o4bo15bo16b
oo103bo25bobboo9bobo34bo23bo4bo32bo$98bo3bo4bobo4bobo15boo5boo9boo100b
3o24bobbo12bo33b3o26boo17bo3bo11bo$13boo98bo16bobo6boo11bo98b3obo16boo
bbo3boo13bo33bo23bo4bo17boobobo12bo$13boo85b3o11bobboo11bobbo116bo3bo
8boo8b3o14bo3bo32boo24bobbobo18boboo14bo$13bo87bo13bo3bo10boobo82b3o
30boobbobbo6boo8b3o14booboo34bo24boobbobo35bo$117boo12bobo84bo29b3obb
4o36bo33bobbo27bob4o33bo$11b3o103bo13bobo83bo32bo3bobbo27boo4boo34bobo
28bobboo14bo20bo$112boo17b3o116bo6bo27boo40bo30boobbo14bo21bo$103boo7b
oo17b3o118bobbo121bo22bo$103boo149booboo92booboo25bo12bo6bo$92b3o31bo
bbobo122bo96boo24b3obbo10boo7bo$92b3o30bo6bo216bo4bo21bo4bo11bo9bo$93b
o32bo5bo217bo25bo3bo23bo$94boo31bo222bobbo23b3o25bo$95bo157boo96bobo
40b3o9bo$94bo160bo96boo38boob3o9bo$253boo96b3o22bobo13boobbo11bo$268bo
62boo11b3o6bobo20bobo13booboo4boo6bo$268bo62boo11b4o28bobo14bobo5boo7b
o$92boo173bo75boobboo27bobo15bo16bo$92boo90b3o72bo84boobo29boo33bo$93b
o92bo72boo83b3o66bo$93bo91bo65b3o4boboo83bo68bo$92bobo163bobo101b3o50b
o$91bo166boo10boo89bo3bo27bo22bo$92bobboo11boo157boboo68boo19bo4bo26b
3o15boo5bo$93bo3bo9bobbo156b3o44bo24boo19bobbobo25b5o22bo$95boo13bo
157bo44b3o44boobobo29boo16bo5bo$95bo11bobbo164b3o35boboo45boobobbo26bo
bo9bo3b3o6bo$106b4o164bo39b3o47boobbo23boobboo13boo8bo$106bo150boo15bo
3bo35boo49b3o24boo4bo8boo13bo$106bo150boo13boo3boo117b3o24bo$271bobbob
obbo114boo28bo$271bobbobobboo113bobo28bo$273booboobbo112b3o30bo$97boo
175bo4bo113boo32bo$97boo53b3o122booboo105b3o3bo34bo$154bo121b4o107boo
bboo3bo32bo$153bo123boo13boo93boob3o37bo$292boo99boo36bo$387bo3boo39bo
$387boboobo40bo$277bo90boo13boo49bo$88b3o187bo89boo13boo50bo$88bobo
186bo105bo52bo$88b3o291bo54bo$101bo198boo79bobo54bo$101bobo196boo137bo
$90boo9boo179boo154boo$88booboo182bo5bobbo156b3o15boo6bo11boo$88boobb
oo175bo5bo5bobbo91boo63bo16bobbo4bobo10boo$87boo3boo174boo5bo4booboo
91boo64bo11boobb3obo3bobo$88boobboo26b3o144boboo10boo171bo6bobobooboo$
89bobo30bo144bobboo180bobo3boo3bobo$84bo36bo143b4ob3o179boo4bob4obbob
oo$76b3o3b4o178bobbobobboo186bo3boboboo$76bobo3booboo178bobobob3o185bo
3bobo$76b3obbo184boob3obo184bo3bobo$81boo3bo179b4obbobo168bo14boo3bo$
82b4o183bo3bo168bobo$83b3o183bo3bo169bo$269bobbo$471boo$471boo$249bo
106bo91bo37boo$248bobo106boboobobo82bobobo33bobbo$247booboo54bo44b3o3b
4o3bo77boo3bo4bobb3o28boobo$248bobbo53b3o49bobbooboo77boo4bo4bobobo31b
o$88b3o159b3o52boboo47bo98boo32boo$90bo159bobo53b3o45b3o117boo$89bo
161boo53boo46b3o17boo74b3o5boo15bo$79bo171boo121boo82boo12b3o$79bo385b
oo5bo$79bo385bobo$467bo$249bo85b3o129boo$248bobo83bo$248bobo82bo4boo$
249bo82bo3bo15b3o27boo59boo15bo$332bobbo4bo4boo35boo58bobo14bobo$332bo
3bo3bo4b3obo92bo16bobo$333boobob3o100boo17bo$336bo39bo78boo$257bo11bo
67b4o34b3obobo72bobo$256bobo11bo68boo11boboo17boo5boboo70bo$256bobo9b
3o81bobbo26bo70boo$235bobo19bo94b3o18bo5b3o$234booboo27bo110bo$235bob
oo27b3o47bo58boo$239bo25boobbo45bobo57bo$238bo28bobbo98bo4bo$238bo25bo
bobbo45bobbo3bob3o42bo4bo$226boo37b3o49bo4bo$212bo9bo3b3o38bo50boboobo
bo$212b4o5bobobbo38bobo51boo3bo$212bo3bo5bo3bobbo35boo53bo15boo3boo$
230bo105boo3boo$214b3o10bobo$228boo$$262bo172bo$261bobo171b3o42boo$
260booboo173bo42bo$260booboo79boo3boo86boo42bobo$233boo24b3o65bo16boo
3boo131boo$236boo21b3o3bo12boo27bo19b3o$233b3oboo20b3o4bo11boo18bo7bob
o10bo6bo3bo95booboo$237bo22boo5bo29b3o5booboo9bo3b3o4bo95boobo$227boo
4bo3bo22b3o34boboo4boo12bo3b3oboboo98bo$229bo3boboo24boo35b3o10boo10b
oo3bo100b3o4boo$217boo6bobbo33boo34boo5b3obbo116boo3bo3boo43boo$217boo
5bo12bobo37boo30boboo113bobb4o48boo4boo$237boo68bobbo115boobo15boo40b
oo$238bo23bo14bobo6boo22bo116bobb3o12bobo$261b3o13bo8boo20boo117bo5bo
13bo$260bo3bo89bo73b5o14boo$264boo42bo45bobo73bo55boo$263boo41booboo
43boo126boobboo$225boo19b3o31boo27bo171bobo$225boo23bo28b3o24bo174bo
12boo$250boo24boobbo27bo171boo11bobo$250bobbo27bo211bo$251bobo26boo
210boo$251bo28bo$250boo23bobobbo$249bobo24boobbobobo$251boo26boobobbo$
248boo29boo213boo$250bo29booboo26boo14b3o163bobo23bo$305b3o3boo14b3o
163bo23b3o$273b3o29bo19bobo164boo22bo$272b3oboo28bo17b3o173boo14boo$
272boo226boo$271boo49bobbo$272b3o50bo$273boboo44boobbo$276bo42b3obboob
o$267bo5bo45boo6bo$253boo11bobbo5boo$253boo15bo$265bo4bo$269boo$519boo
$266b3o245boobbobbo$499boo13bobobboo$321b3o174bobo16boo$261boo58bo176b
o19bo$261boo59bo15bo158boo16bobboboo$338bobo173boboboobo93boo$338boo
175bobo97boo$516bobboo$517boob3o$523bo$517boob3o$517boobo93boo$318boo
292b5o$321boo4bo181boo100bo4bo4bo$318boob4o3bo171boo7boo100bobb3o4bo$
315b5o4b4o173bo109boobbo5bo$284bo33b3o6bo173bobo109boo$283b3o14boo17bo
182boo$282bo10bobbo4bo16b3o$283booboo6b3obbobbo22bo173bo$284b3oboo5boo
bbobbo22bo171b3o$286b4o9bobbo193bo25boo$274bo25b3o6boo185boo24boo$273b
obo33boo293bo$272booboo45boo$272boo49boo264boobboo$278boo42bo266boobb
oo4boo9boo$272b3obbo229bo80boo6bo3b4oboo3boo4boob3o$276boboobboo222bob
o80bo7bo3b3o11b3oboobo$274bobbo4boo202boo18bobo80boobooboo6bobbo8boboo
4bo$277bo207bobo5boo12bo74boo5boo3bo20bo8bo$275boo23bo184bo7boo9b3o75b
oo31bo4bobobo$300bo3bo179boo18bo115bo4bo$275bo23bobobobo310bo7bo$275bo
24boboobo192bo118bo$300bo3bo189boobobo118bo3bo$276bo216bobobobo$273bob
3obbobo207bobboboboboo119boo$262bo10boobob3obo207b4oboobbo90boo$261b3o
8boo3booboo212bo4bo90boo15b3o$260bo10bobbo4bo210boobbob3o102bobb3obbo$
261booboo6b3obbobbo209boo3boo103bo8bobboo$262b3oboo5boobbobbo319bo5bob
o5bo$264b4o9bobbo319booboobbooboobbo$278b3o320bo7boboboo$610bo5$285boo
$285boo4$279boo$267boo9bo3boo$267boo9bo4bo$279bo3bo$279boboo$280bo4$
275boo$275boo!

Since the new caber tosser period is just 19 times a power of two, removing the factor of 19 leaves just the exact powers of two.

I have tried using exact powers of two a couple of times, but was unsuccessful. Maybe using a long enough fuse and a high enough power would work. But even if so, its initial size wouldn't beat the one shown above which is now nicely packed.

BCNU,
-dbell

[dbell]

Here is an orthogonal sawtooth spaceship which is only the second instance of a sawtooth which uses the mechanism of creating an eater object at the front end which consumes spaceships sent by the back end. (The previous sawtooth using this mechanism was diagonal and used Corderships and a c/5 spaceship.)

This is based on an old period 36 c/3 rake which happens to temporarily create a double-block object as part of its mechanism. I modified it to preserve the double-blocks for use as the eater for the new sawtooth.

Code: Select all

#C An orthogonal sawtooth spaceship with a minimum population of 11136.
#C This uses a period 36 c/3 spaceship at the front and a period 64 c/4
#C forward LWSS rake at the back.  The c/3 spaceship creates double-block
#C objects which are normally deleted by gliders from an internal rake.
#C The first LWSS in the stream eventually reaches a double-block and
#C cleanly deletes both itself and a glider, preventing that double-block
#C from being deleted.  Then that double-block remains and deletes all
#C the remaining LWSSs in the stream.  When the LWSS rake catches up to
#C the double-block, the double-block is cleanly deleted and a new LWSS
#C stream emerges to repeat the cycle.  The minimum population is only
#C reached on every other cycle.  The minimum populations are reached at
#C generations 0, 2622, 8064, 18750, 40320, 83262, and so on.
#C David I. Bell, 1 September 2026
x = 399, y = 662, rule = B3/S23
323bo24bo$321b4o22b4o$320boo3bo20bo3boo$319bo5b3o16b3o5bo$322bobo4boo
10boo4bobo$319bob4o4boo10boo4b4obo$318b8ob4o10b4ob8o$318boo32boo$323bo
5boo10boo5bo$322bobo3bobbo8bobbo3bobo$313bo11bobobbo10bobbobo11bo$312b
oob3o5b4o18b4o5b3oboo$311boo5bo4b4o18b4o4bo5boo$315bobo7bobbo14bobbo7b
obo$311boobo42boboo$311booboo13b3o8b3o13booboo$310bobobobo15boobooboo
15bobobobo$310bo3bob3obo8boo4boo4boo8bob3obo3bo$314bo5b3o8boob4oboo8b
3o5bo$315bob3obboo7boo6boo7boobb3obo$310bo13bo10boo10bo13bo$296boo9bob
obo7boo3boobo7boo7boboo3boo7bobobo9boo$297boo7boo4bo3bobboboob3obo5bo
bbo5bob3oboobobbo3bo4boo7boo$286b3o3bobooboo7boob3o4b3o6bo3bo5boo5bo3b
o6b3o4b3oboo7booboobo3b3o$282boboo3boboobbobb4ob4obbo6boboboboboo8bobb
o8boobobobobo6bobb4ob4obbobboobo3boobo$281b3o3b4o4bo5bobo5bobboobbo7bo
bobb3o3boo3b3obbobo7bobboobbo5bobo5bo4b4o3b3o$280bo3bo4bo8bo7bo5b4o3b
oobo3bobobboboobboobobbobo3boboo3b4o5bo7bo8bo4bo3bo$281bo8boo22boobo5b
ooboo3boboboobobo3booboo5boboo22boo8bo$326boob5o4b5oboo$326bo4bo3boo3b
o4bo$295boo9boobo17bo16bo17boboo9boo$291boobbooboo3boobooboo15b5ob3obb
3ob5o15boobooboo3booboobboo$279boboo7bob3o3boo3boobobobbo3bo6booboobb
3ob6ob3obbooboo6bo3bobboboboo3boo3b3obo7boobo$275b3obooboboo3boo3bobo
3bobobbobbobobbooboboboobo8bo6bo8bobooboboboobbobobbobbobo3bobo3boo3b
ooboboob3o$274bo6boobb5obo6bobobo3bobo7bobbo5boo18boo5bobbo7bobo3bobob
o6bob5obboo6bo$275boo3bo3bo3bo4bo6bobobobobobo4boo4boo9b8o9boo4boo4bob
obobobobo6bo4bo3bo3bo3boo$287bo5bobobobo3b3obbobooboo6bo12b4o12bo6boob
oobobb3o3bobobobo5bo$296bo7bo3bo8bobbobo11b4o11bobobbo8bo3bo7bo$309bob
4ob3obbobobb3o14b3obbobobb3ob4obo$313bobobobo3b3obobo12bobob3o3bobobob
o$313bobooboob3o4b4o8b4o4b3obooboobo$316boobobooboo4b3o6b3o4booboobob
oo$315bo40bo$315bo15boo6boo15bo$332bob4obo$$335boo$$330b3o6b3o$330b3o
6b3o$329bo3bo4bo3bo$307boob3o16booboo4booboo$307boo4boo42b3o$306bobbob
o3bo40bo3boobo$313b3obb3o30b3obb3o3b3o$315b3obobo28bobob3o4bo3bo$315bo
4bo30bo4bo7bo$316boo7boo18boo7boo27boo$289b4o11bo19bobbo16bobbo25boo5b
ooboo5bo$285boboobobo8bob3o4boo13boo18boo25boobo4boo3bo3b3o$284b3o4bo
bb3o3boboobobooboo48bob3obb3obboobbo3boo6bo3bo$283bo3bo6boobobo3bo4bo
3bo46boob3obo3b3obobbo5bobobobobo$283boo9boobb3obo4b3o4bo43bo3bobb5o3b
oob4o3bobo$283boo8bobobbo7booboo3boo42bobbo6boo3boo3boo3bobo$281boobo
5boobobo8bo3boboboobboo39boobobb3o3bo13bo$279booboboo4boobobobobb3o4bo
bboboob3o38boboboo7bo3bo$278bo11bo4bob4obbobobbobobooboo38boobobobbo$
279boboobooboo3bo5boo6bo17b3o18b3o4bobo3bobbo$288bo3b4o3bo13bo11boo18b
oo5b5obob3o$286boo10bo12boo5boo4boo20boo5boo5bo$297bo20bobo3bobo18bobo
3bobo6bo$319boo4b4o14b4o4boo$320bo3bobboo14boobbo3bo$324boboo16boobo$
324b3o18b3o3$338b3o$$336bo5bo$336bo5bo$336bo5bo$$338b3o8b3o$349b3o$
345boo3bobbo$343boobo6b3o$343boobo3boobbo$344booboobobbo$345boo3boboo$
346bobobo$347booboboo$348bobobbo$350b3o$351boo4$341b3o$341bobboo$342b
3o$343bo4$367boo$367booboo$342boo6b6o5boo4boobb4o$342boo5bo5boo4booboo
4bo4bo$349bo3bobboobbo3boo7boo$350bobbo10boo$$351boo$350boobo$351b3o$
344bo7bo$339boboobbo$338bob3obo$337bo5bo$338bobo$339bo3$319bo$317b4o$
316boo3bo28bo$315bo5b3o25bo3bo$318bobo4boo13boo7bo3bo$315bob4o4boo12bo
bbo7bo3bo$314b8ob4o11boobbo9bo$314boo23boobbo$319bo5boo13b4o$318bobo3b
obbo$321bobobbo$319b4o$319b4o6boo$321bobbo3bobbo$328bobbo$328b5o16boo$
331booboo13boobboo$333bo19boo$344boo$344boo8$349boo$349boobboo$353boo$
344boo$344boo5$341bo$342boo$341boo$331bo17boo$329b4o16boobboo$325boob
oo3bo3bo15boo$325boobbo5b4o5boo$324bobbo7bo3bo4boo$333bobbobo$334bo3$
343bobo4b3o$343bo5bo3bo$257boo22boo70bo$254booboo22booboo57bo8boboo$
254boobobo20boboboo30b3o24bo3b3o3b3o$254boobb3o18b3obboo23b3o3boboboo
5b3o15bo9bo16bo$254b3obobob3o10b3obobob3o23b3o4bo4bo3bo6bo4bo31b3ob3o$
252boo11bo8bo11boo20bo3bobobob3o3boo4b4obooboboo26boo6bo$259bobbobo10b
obobbo31bobo3boboo4bobboo9boo21bo3bobbo3boo$252bobbo28bobbo27boboobbo
bbo4bo4b3obobobo19b4o$257bo5boo10boo5bo34boobbo3b3obbo6b3obbo18bo3bo$
257boo3bobbo8bobbo3boo33bo9boobboo4bobobobo19bobobbo$246b3obo10bo16bo
10bob3o43b4oboboo20bo$245bobooboo5bo3bo16bo3bo5booboobo43boboboboo$
245b5obbo4bo3bo16bo3bo4bobb5o47bo22boo$247bo11boo18boo11bo45bobobbo6b
oo12bobbo$245boobobo12boo10boo12boboboo45bo14b3o6boobo$244bo3bo15b3o6b
3o15bo3bo51b3o4b4o5boboboo$244bobobobo15bob4obo15bobobobo57boobboo6bob
obo$245bobbobooboo9bo10bo9booboobobbo54bo4boboo4booboboboo$248bo5boboo
8b3obb3o8boobo5bo63b3o7bobo$252b3oboo7b4obb4o7boob3o61boo5bo4boobbobob
oo$244bo9bo3boo9boo9boo3bo9bo64bo3boo$230b3o7b3oboo7b3o5bo6bobbo6bo5b
3o7boob3o7b3o53boo4bo$221bo7bo13bobbo3bobbobobo3boo5bobbo5boo3bobobobb
o3bobbo13bo7bo41bobobo4bo$219b4obb5o4bo3bo4b3o3boobobobo11b4o11bobobob
oo3b3o4bo3bo4b5obb4o43bobbo$215booboo5b3obob5ob5oboboobbooboo3boobobbo
4bobbo4bobboboo3booboobboobob5ob5obob3o5booboo$215boobbo5bo6bobbobobbo
5bo3boobbo3boboob5oboob5oboobo3bobboo3bo5bobbobobbo6bo5bobboo47b3o$
214bobbo7bo20bo11boboboobobo4boboboobobo11bo20bo7bobbo45bo$224bo24boo
6bo5bo5boo5bo5bo6boo24bo37b3o14boo$262bo4bo4bo4bo62bo12bobo8boboobboo
bb3o$260bobobbo8bobbobo58b4o10bobbo7boobooboo5bo4boo$229b3o7b3oboo18b
14o18boob3o7b3o23booboo3bo3bo4b3o8bobboo3boboo4booboo$225boo3boboo3boo
4boo14bo6bo6bo6bo14boo4boo3boobo3boo19boobbo5b4o3boobo13b4o6boo3bo$
210boboob3o5boobobobobobobo3bobobbobboo5b6o8boo8b6o5boobbobbobo3bobobo
boboboboo5b3oboobo3bobbo7bo3bo3boo10boboboo8boo$209booboo4boobo4boboob
oobobob3obo5boboob3obo6b12o6bob3oboobo5bob3obobobooboobo4boboo4booboo
11bobbobo5bo12bo$208bobbobobbo3boo12bobo3bobo5bobobbo12bob4obo12bobbob
o5bobo3bobo12boo3bobbobobbo11bo19boo18bo$209bo5bo3bo3bobbobo3bobobobob
oboboobb3o3b3o10bo4bo10b3o3b3obboobobobobobobo3bobobbo3bo3bo5bo31boobb
o4boobo3bo3boob3o$228bobo11boboobb3o3bo30bo3b3obboobo11bobo52b3oboobob
oobooboobob3obbo3b3o$230bo6b3obbo6b4obobo4bo6bobbo6bo4bobob4o6bobb3o6b
o50bobbo5boboo6bo9bobboboboo$246b4o3b3obob4o14b4obob3o3b4o67bob4obo3b
3o3bobobbo3bobobbobo3bo$253bobo3bo3bo3b6o3bo3bo3bobo79b3obboo10bo4boo
bbobbobo$249bo3bobo4bobo5bobbo5bobo4bobo3bo75boo4bo16b5o$248bobbobobo
bbo10boo10bobbobobobbo75boboobo17boo$249bo40bo$357boo9bobbo$331bo11bo
14boo8bobbo$329b4o9b4o11boo$328boo3bo7bo3boo6bob3o$325bobo4bo9bo4bobo
4boo$264boo8boo48boo3bo7bo7bo3boo4bo24bo$264boob6oboo49bo3boo5b3o5boo
3bo29b4o$245bo20bo6bo53boboo4bo3bo4boobo26bo3bo3booboo$171boo22boo44b
3ob3o18bo6bo18bo32boobbo6b3o6bobboo23b4o5bobboo$168booboo22booboo40bo
6boo19b4o19b4o34bo5b5o5bo26bo3bo7bobbo$168boobobo20boboboo41boo3bobbo
3bo32bo3bo3booboo26bo3bobooboo3booboobo3bo23bobobbo$168boobb3o18b3obb
oo51b4o4boo18boo4b4o5bobboo28boo3bo9bo3boo29bo$168b3obobob3o10b3obobob
3o51bo3bobbobbo16bobbobbo3bo7bobbo31bobboo3boobbo36bo$166boo11bo8bo11b
oo47bobbobo4boo18boo4bobobbo88b4o$173bobbobo10bobobbo29boo24bo12bobo8b
obo12bo26b3o55bo3bo3booboo$166bobbo28bobbo20b3obo10b3o23boobboobboobb
oo29b3o5boobobo3b3o38bo8b4o5bobboo$171bo5boo10boo5bo21booboo3boobo5bo
3boobb3o18boo8boo21bo4bo6bo3bo4bo4b3o38bo7bo3bo7bobbo$171boo3bobbo8bo
bbo3boo21boobbobboboobo3boo3b4obobo16boo10boo16booboboob4o4boo3b3obobo
bo3bo26bo19bobobbo$160b3obo10bo16bo10bob3o9bobbo6bo3bo5boobo3boo17boo
10boo16boo9boobbo4boobo3bobo30bobo21bo$159bobooboo5bo3bo16bo3bo5booboo
bo7bo10bo3bobbo5bo3bobb3o42bobobob3o4bo4bobbobboobo33boo$159b5obbo4bo
3bo16bo3bo4bobb5o10bo6booboobo7bo3boobb3o41bobb3o6bobb3o3bobboo$161bo
11boo18boo11bo7b3o7boobobo5bo4bobobobo4bo5bo24bo9bobobobo4boobboo9bo$
159boobobo12boo10boo12boboboo4booboboo3bo5bobobb5obboobo11boo24boo5boo
bob4o$158bo3bo15b3o6b3o15bo3bobbo3bo3bobboobobobbo4bo3boobobboobobo3b
oo26boo4boobobobo$158bobobobo15bob4obo15bobobobo11b3oboobb3o14b3o7bo
26bo8bo$159bobbobooboo9bo10bo9booboobobbo10bobbo3b3o4bo12bo10bob3o16b
3obo8bobbobo$162bo5boboo8b3obb3o8boobo5bo15bo5boo3bo13bo12b3o16b3o13bo
$166b3oboo7b4obb4o7boob3o$158bo9bo3boo9boo9boo3bo9bo$144b3o7b3oboo7b3o
5bo6bobbo6bo5b3o7boob3o7b3o$135bo7bo13bobbo3bobbobobo3boo5bobbo5boo3bo
bobobbo3bobbo13bo7bo48bo$133b4obb5o4bo3bo4b3o3boobobobo11b4o11bobobob
oo3b3o4bo3bo4b5obb4o46bobbo$129booboo5b3obob5ob5oboboobbooboo3boobobbo
4bobbo4bobboboo3booboobboobob5ob5obob3o5booboo46bo$129boobbo5bo6bobbob
obbo5bo3boobbo3boboob5oboob5oboobo3bobboo3bo5bobbobobbo6bo5bobboo34boo
$128bobbo7bo20bo11boboboobobo4boboboobobo11bo20bo7bobbo32b3o6bobbo$
138bo24boo6bo5bo5boo5bo5bo6boo24bo43boo$176bo4bo4bo4bo89bobo$174bobobb
o8bobbobo87booboo$143b3o7b3oboo18b14o18boob3o7b3o55b3oboo58bo$139boo3b
oboo3boo4boo14bo6bo6bo6bo14boo4boo3boobo3boo50bobbo3boo56bobo$124boboo
b3o5boobobobobobobo3bobobbobboo5b6o8boo8b6o5boobbobbobo3bobobobobobob
oo5b3oboobo35b3obooboo56boo$123booboo4boobo4bobooboobobob3obo5boboob3o
bo6b12o6bob3oboobo5bob3obobobooboobo4boboo4booboo39b3o$122bobbobobbo3b
oo12bobo3bobo5bobobbo12bob4obo12bobbobo5bobo3bobo12boo3bobbobobbo$123b
o5bo3bo3bobbobo3boboboboboboboobb3o3b3o10bo4bo10b3o3b3obboobobobobobob
o3bobobbo3bo3bo5bo$142bobo11boboobb3o3bo30bo3b3obboobo11bobo57b3o$144b
o6b3obbo6b4obobo4bo6bobbo6bo4bobob4o6bobb3o6bo46boo11bobo$160b4o3b3obo
b4o14b4obob3o3b4o77bo$167bobo3bo3bobboobooboobbo3bo3bobo$163bo3bobo4bo
bo3boobooboo3bobo4bobo3bo71bo$162bobbobobobbo7b3obb3o7bobbobobobbo69bo
bo$163bo40bo73bo$275bo$276bobo$277boo3$178b3o6b3o$178bobo6bobo93boo$
178bobo6bobo18bo73bo$161bo44b3ob3o73bo48bo$159b4o42boo6bo72bo48bobo$
155booboo3bo3bo32bo3bobbo3boo63boo57boo$155boobbo5b4o30b4o73boo6booboo
12b3o$154bobbo7bo3bo3boo18boo3bo3bo84boo11bo3boobo$163bobbobo3bobbo16b
obbo3bobobbo80boboo6b3obb3o3b3o$135b3o26bo8boo18boo8bo24boo55boo7bobob
3o4bo3bo$128b3o3boboboo5b3o66b3o10bob3o63bo4bo7bo$128b3o4bo4bo3bo6bo4b
o51b3obboo3bo5boboo3booboo62boo$127bo3bobobob3o3boo4b4obooboboo46bobob
4o3boo3boboobobbobboo$131bobo3boboo4bobboo9boo47boo3boboo5bo3bo6bobbo$
134boboobbobbo4bo4b3obobobo42b3obbo3bo5bobbo3bo10bo36b3o$136boobbo3b3o
bbo6b3obbo41b3obboo3bo7bobooboo6bo38bo3bo$135bo9boobboo4bobobobo40bo4b
obobobo4bo5boboboo7b3o33bo4bo$156b4oboboo5boo24boo11boboobb5obbobo5bo
3booboboo33bo3bo$157boboboboo3booboo22booboobboboboobboboo3bo4bobbobob
oobbo3bo3bo33bobo$161bo6bo4bo20bo4bo5b3o14b3obboob3o$157bobobbo5bo3b3o
18b3o3bo7bo12bo4b3o3bobbo$159bo9boo4bo16bo4boo8bo13bo3boo5bo$173bobo
16bobo$173boo18boo$253boo71bo$250booboo25booboo41bobo$250boobobo20b3o
3b3ob3o37boo$250boobb3o19boobo9bo$250b3obobob3o15boo4b3o4bo$179b3o66b
oo11bo16bo4b3oboo$179bobo73bobbobo$169bobo7b3o66bobbo$253bo5boo$170boo
81boo3bobbo$169boo86bo$167bobob3o79bo3bo$166boobobooboo77bo3bo5b3ob3o
13boo$170b5o80boo5bobbob4o12boobboo$167bo101bobo15boo$170bo91bo15boo$
170bo96b3o8boo$170bo92boobboo$167b3o$$176bobo$178bo83bobbo51bo$260b3o
bb3o49bobo$177boo83bobbo51boo$175bobo105boo$175boo106boobboo$287boo$
278boo$278boo3$273bo$274boo$150b3o13bobo7boo95boo$146boboo3bo10boo3bo
6boo$145b3o3b3obb3o5boboboo$144bo3bo4b3obobo5boobbo113boo$145bo7bo4bo
6bobbo114boobboo$154boo10b3o118boo$265boo11boo$178bo83booboo11boo$177b
oo80b4obboo4boo$176b4o78bo4bo4booboo35bo$259boo7boo3bo34bobo$175boo3b
oo86boo38boo$179boo$279bo$212b3o63boo$202b3o5boobobo3b3o55bobbobbo$
193bo4bo6bo3bo4bo4b3o56boo4booboo$189booboboob4o4boo3b3obobobo3bo56b3o
bo3boo$189boo9boobbo4boobo3bobo32bo29bo$169b3o3bo12bobobob3o4bo4bobbo
bboobo28bo5b4o7bo$165b3obo7bo10bobb3o6bobb3o3bobboo29bobo3bo3boo5boo$
166bobo9bo9bobobobo4boobboo9bo27bo3bo3bo4bobboobo4boobboo$168bo9bo6boo
bob4o49boobo5bo5b3obbooboobboob3o$165bo5bo4b3o6boobobobo55bobo4bobbo4b
obboo8bo$168bobo17bo61bo4boo4b3o5boobobobo$169bo17bobbobo59bo6bob5o8bo
boo$190bo12b3oboo42bo7bobobboo4bo3bobo$198booboo4boo65boboboo$198boo4b
obobbo61booboboboo3boo$197boboboo73bobo5bob4o$184b4o10bo74bobo6boobo3b
o9bo$169boo13boboboobboo79bo9bo5bo9bobo$165boobboo9boobobbo4booboboob
3o9boobo69b3obo10boo$165boo12bobbobboobob3oboboob4o5booboboob3o68bo$
174boo6boo3bobboobbobbobo3bo4bobboo6bo$174boo3b5obboo12boobo3bobo3bo3b
oo$179boobbobbobb6obobobboboboo$180bobboboboboo5bo6bobbo$181boboboobo
3bo3bo6bobbo$178boobobobobbobo13bo4bo$178bobbobo4boboo14b5o$177bobobob
o4bo21boobb3o$180boobo7b5obo13b3obobo$169boo10bobob4obbo5boo12bo4bo$
165boobboo8bobo3b3obbobobobobobooboo7boo$165boo16boo3boboobooboo3bo3bo
80bo$178bobobb3o6bobo6bo4bo80bo$177b3obo3bo3boobo3booboo3bobo79bo$183b
oobo9bobbo5boobooboo$179bobo8boo6bob3obbobboobooboobo73boo$179bo8boboo
4bobboobbobobo3bobbooboo72bobo$179bo7bo6b3oboboobobobbo3b3obobbo71bo$
186boobbo3bo5bobbob4obbo6bo63boo$190bo3bobo4bobo3bobobbo69bobo$193bobb
o4bobo78bo$169boo27bo5bo68boo$165boobboo30boobo68bobo$165boo106bo$264b
oo$264bobo$264bo$255boo$255bobo$255bo$246boo$246bobo$246bo$169boo66boo
$165boobboo66bobo$165boo70bo$228boo$228bobo$228bo$219boo$219bobo$219bo
$210boo$210bobo$210bo$169boo30boo$165boobboo30bobo$165boo34bo$137bo3bo
50boo$135b9o48bobo$115bobobo72bo$114b7o17bobo42boo$114bo5bo14boobobob
oo39bobo$115bo3bo63bo$115bo3bo16bobobobo31boo$113boo5boo13bobbobobbo
30bobo$115bo3bo16bobobobo31bo$113booboboboo11booboboboboboo$112bobobob
obobo9boobbobobobobboo$110b3obobobobob3o10booboboboo$110boobbobobobobb
oo7bo3bobobobo3bo$110booboobobobooboo7bo5bobo5bo$113booboboboo16bobo$
116bobo15bo9bo$134boob5oboo$112boobo3boboo10bobobo3bobobo$111bobob5obo
bo9bob3o3b3obo$111bo5bo5bo8boboo7boobo$110boo3bo3bo3boo8b4o5b4o$110bo
4bo3bo4bo9boobbobobboo$114bo5bo13bobbooboobbo$116bobo15bobbo3bobbo$
111boob3ob3oboo10bob7obo$111boo9boo12bo5bo$114bob3obo15boo3boo$117bo
20b3o$114b7o17b3o$132bo13bo$116bobo13bo13bo$117bo13bobob3o3b3obobo$
109b3obbo5bobb3o10bob3obo$110bobb9obbo10bobbobobbo$112bo3bobo3bo14boob
oo$114bo5bo16b5o$114bo5bo$115bo3bo14boo7boo$116b3o14bobobbobobbobo$
112boo7boo10bobb3ob3obbo$111bobobbobobbobo9b5o3b5o$110boo4bobo4boo8bob
o7bobo$110boo4bobo4boo6bob3o7b3obo$130bo4bo3bo3bo4bo$110booboo5booboo
6bob3o3bo3b3obo$108boo4bo5bo4boo4bo3bobbobobbo3bo46booboboo22b3ob3o$
108b3obboob3oboobb3o5bo3bo5bo3bo47bobbobbo21boobbobboo$109boboboobbobb
oobobo6bo4b5o4bo47bobbobbo21booboboboo$109boo3bo5bo3boo11bo3bo52boo3b
oo22b3ob3o$51booboboo23bobobo28b7o12bo3booboo3bo49bo3bo25bobo$51bobbo
bbo22b7o27bo5bo12bobbo5bobbo48boo3boo22b3ob3o$51bobbobbo22bo5bo27b3ob
3o12bo3b5o3bo49bo3bo22bobbobobbo$51boo3boo23bo3bo24b3obo5bob3o9bo9bo
48booboboboo20booboboboo$52bo3bo24bo3bo25boobb5obboo8boo4b3o4boo45bobo
bobobobo17booboboboboboo$51boo3boo21boo5boo22bobobbo3bobbobo7b15o43bob
obobobobobobo15bobbobobobobbo$52bo3bo24bo3bo24bo3bo5bo3bo9bo3bobo3bo
44bo4bobobobo4bo12bo3bobbobobbo3bo$50booboboboo20booboboboo22bobboo5b
oobbo8boobbo3bobboo44boo4bobo4boo14b3obobobobob3o$49bobobobobobo18bobo
bobobobo21bo13bo6bobboboo3boobobbo44b3obobob3o17b4obobob4o$47bobobobob
obobobo14b3obobobobob3o20boob3ob3oboo6bobobbo7bobbobo46bo3bo22b3o3b3o$
46bo4bobobobo4bo13boobbobobobobboo18booboboo3booboboo4boboboo7boobobo
74bobobobo$47boo4bobo4boo14booboobobobooboo17bobo13bobo4b3o11b3o44boob
oboboboo18boo7boo$49b3obobob3o19booboboboo20bo3boo7boo3bo5boo11boo44bo
bobobobobobo16bobobobobobobo$52bo3bo25bobo48bo11bo45bobbooboboobbo16bo
bbooboboobbo$109bobbo9bobbo7boo3b3o3boo44boo4bobo4boo16bo3b3o3bo$49boo
boboboboo18boobo3boboo28bo16bo4bo4bo45boobboo3boobboo14boobb3ob3obboo$
48bobobobobobobo16bobob5obobo21boo3b3o3boo7boo13boo47bo3bo22bobbobobbo
$48bobbooboboobbo16bo5bo5bo20bobo3b3o3bobo6boob3o5b3oboo45booboboboo
20bobbobobbo$47boo4bobo4boo14boo3bo3bo3boo18boobo9boboo6bobbobb3obbobb
o44b3obooboob3o16bo4bobo4bo$47boobboo3boobboo14bo4bo3bo4bo21b3obbobb3o
10bo11bo45boobo5boboo16bobbo5bobbo$52bo3bo23bo5bo22boobboobbobboobboo
6bo3boo3boo3bo49b3o23bobobobobo$50booboboboo23bobo25boobb7obboo8bo5bo
5bo48bo5bo$48b3obooboob3o16boob3ob3oboo20boo11boo10bobo3bobo51b5o24b5o
$48boobo5boboo16boo9boo25booboo17bo3bo$53b3o24bob3obo27bobobobo13boobb
obobboo52bo$51bo5bo25bo28booboobooboo10bobobbobobbobo44bo6bo6bo13b3o
11b3o$52b5o23b7o25b5ob5o11bo9bo44b3oboo5boob3o17booboboo$111bobo7bobo
10boo3bo3boo44boob3obobob3oboo12bobbobo5bobobbo$54bo27bobo26bo5bo5bo7b
oo5bobo5boo8bo39bobo22bo3bobo3bo$47bo6bo6bo21bo27b3o3bo3b3o7b6o5b6o7b
3o35bobo3bobo22booboo$46b3oboo5boob3o12b3obbo5bobb3o7bo9bo4bobbobbo4bo
5boboo9boobo7b3o36boo3boo25bo$46boob3obobob3oboo13bobb9obbo7b3o7bo4bo
7bo4bo30bo37b5o23bo5bo$53bobo22bo3bobo3bo9b3o8bo15bo6boo3booboo3boo7b
4o38b3o$50bobo3bobo21bo5bo11bo13bo9bo10bobooboboboobo7boboboo33boobbob
obboo17b3obbobobb3o$51boo3boo22bo5bo11b4o8b3ob3ob3ob3o7bobbobo3bobobbo
6bo5bo30boobo7boboo15bob4ob4obo$52b5o24bo3bo11boobobo8bobobbobobbobo8b
oob3o3b3oboo11boo35booboo21bo9bo$53b3o26b3o11bo5bo7bo5bobo5bo10bobo3bo
bo13bobbo29boo11boo15bo11bo$49boobbobobboo18boo7boo7boo12boobobooboobo
boo6bob3o3bo3b3obo6boobobo32bo9bo15bobboo7boobbo$47boobo7boboo15bobobb
obobbobo5bobbo16booboo10boobboob5oboobboo4b3obo3boo26boobboo5boobboo
12boobbo7bobboo$52booboo19boo4bobo4boo5boboboo6b4o3bobobo3b4o6bobob5ob
obo6bo6bo28bobboo4bo4boobbo11b4o3b3o3b4o$47boo11boo14boo4bobo4boobboo
3bob3o5boo5bo3bo5boo6boboo5boobo46bo3b3o3bo19bo7bo$49bo9bo36bo6bo6boo
11boo7bobbo7bobbo8b3o33boo3b3o3boo15b3o3bobo3b3o$46boobboo5boobboo13b
ooboo5booboo19boobob5oboboo13b3o11boo35boo13boo13b4obo3bob4o$45bobboo
4bo4boobbo10boo4bo5bo4boo5b3o11b3obbobb3o15b3o11boo4bo34boob3oboo20boo
bbobboo$49bo3b3o3bo14b3obboob3oboobb3o9boo12bobo19b3o14bobo35bo7bo19b
ooboboboboo$48boo3b3o3boo14boboboobbobboobobo5bo4boo11bo3bo19bo14boo
35bobbo5bobbo16boobo5boboo$46boo13boo12boo3bo5bo3boo6bobo15bobo19bobo
14bobo32bobobo5bobobo15bobbob3obobbo$50boob3oboo21b7o13boo15bo19bo3bo
12bobbo36b7o20bo4bo4bo$50bo7bo21bo5bo11bobo37bobo13bobobo31bob4obob4ob
o13b3o5bo5b3o$48bobbo5bobbo19b3ob3o11bobbo37bo13b3o33boo3boo3boo3boo
19bobo$47bobobo5bobobo14b3obo5bob3o6bobobo51b3o33b3oboo5boob3o15b4o3b
4o$51b7o19boobb5obboo10b3o50b3o34bobo9bobo16boboo3boobo$47bob4obob4obo
14bobobbo3bobbobo9b3o12boo37boo33bobbobobobobobobbo12bobbo9bobbo$46boo
3boo3boo3boo13bo3bo5bo3bo9b3obbo9boo9boo26boo33booboboboboboboboo11bob
obobo5bobobobo$46b3oboo5boob3o13bobboo5boobbo9boo3bobo8bo11boo9bo16b3o
29bobobobo5bobobobo10bobo4bo3bo4bobo$47bobo9bobo14bo13bo9boobbo18bo15b
o49bo15bo12boboo9boobo$46bobbobobobobobobbo14boob3ob3oboo7b3o16b3o4bo
bbo3bo8bo52boo7boo$46booboboboboboboboo12booboboo3booboboo34bobbo27boo
61bobo3bo3bobo$45bobobobo5bobobobo10bobo13bobo34bo29boo32boo3b3o3boo
16boo4bo4boo$46bo15bo11bo3boo7boo3bo4boo46b3o8boo33boo9boo21bobo$49boo
7boo37boo47bobb3o37booboobbobobbooboo12bo3bo7bo3bo20booboboo$75bobbo9b
obbo6boo52bo36boobo3bobo3boboo12boobobbo3bobboboo20bobbobbo$48boo3b3o
3boo22bo55bo5b5obo40bobo5bobo19bo7bo24bobbobbo$48boo9boo16boo3b3o3boo
49bo4bobboboo38boo13boo14boo3b3o3boo22boo3boo$20bobobo21booboobbobobb
ooboo13bobo3b3o3bobo48bo3bo5bo42b11o15bobb11obbo21bo3bo$19b7o20boobo3b
obo3boboo12boobo9boboo51bobo4bo39boobbo5bobboo15boo9boo22boo3boo$19bo
5bo23bobo5bobo18b3obbobb3o57bobb3o43booboo22bobo3bobo25bo3bo$20bo3bo
21boo13boo12boobboobbobboobboo53boo5bo40boo5boo20b3o3b3o23booboboboo$
20bo3bo24b11o16boobb7obboo21bo33bobo3bo39bo9bo18boo7boo21bobobobobobo$
18boo5boo20boobbo5bobboo14boo11boo22boo34boo40bo4bobo4bo16bo3booboo3bo
18bobobobobobobobo$20bo3bo27booboo24booboo26boo13b3o9bo5bo45bobob5obob
o16bobb3ob3obbo17bo4bobobobo4bo$18booboboboo23boo5boo21bobobobo52bo7b
3o40boobo7boboo17bobo3bobo20boo4bobo4boo$17bobobobobobo21bo9bo18booboo
booboo50bo6b4o30bo9b4obb3obb4o14bobboobbobboobbo19b3obobob3o$15b3obobo
bobob3o18bo4bobo4bo17b5ob5o55bo3bo31bo13bo5bo17b5o3bo3b5o7b3o11bo3bo$
15boobbobobobobboo18bobob5obobo16bobo7bobo54bo3bo30bobo6boo15boo36bo$
15booboobobobooboo17boobo7boboo15bo5bo5bo53bo4bo69bo15bo18booboboboboo
$18booboboboo10bo9b4obb3obb4o15b3o3bo3b3o56b3o33bo7boboobo3boboobo15bo
bobooboobobo8b4o7bobobobobobobo$21bobo13bo13bo5bo17bo4bobbobbo4bo7b3o
43boobboo27b4obo6bo3b3ob3o3bo15boo3bobo3boo7bobobbo6bobbooboboobbo$36b
obo6boo15boo10bo4bo7bo4bo52bo4boo26boobobo9booboboboo20bobbobobbo9bo5b
o4boo4bobo4boo$17boobo3boboo47bo15bo7bobbo36bo3boo3bobboo23bobboobo7bo
3bobobobo3bo14boobbo5bobboo7bo3boo4boobboo3boobboo$16bobob5obobo10bo7b
oboobo3boboobo16bo9bo9bo3bo36bobb3o6bo24bo3bo9boobbo5bobboo14boobobo3b
oboboo22bo3bo$16bo5bo5bo6b4obo6bo3b3ob3o3bo14b3ob3ob3ob3o7boo43boo7bo
26boo11bo9bo15boobb3o3b3obboo7bob3obo5booboboboo$15boo3bo3bo3boo5boobo
bo9booboboboo18bobobbobobbobo7boboboo40boo6bo23b3obobo6bobo3booboboo3b
obo11bo5b5o5bo6boob3obo3b3obooboob3o$15bo4bo3bo4bo3bobboobo7bo3bobobob
o3bo14bo5bobo5bo7bobbobo41b3o27boo3booboo3bo7bobo7bo11bobobo7bobobo4b
oo5bobo3boobo5boboo$19bo5bo7bo3bo9boobbo5bobboo14booboboobooboboo11b3o
15bo60b3o7booboobobooboo16b4o5b4o6boo16b3o$21bobo12boo11bo9bo21booboo
14boobbo16boo58bo8bobbob5obobbo14bo13bo6boboo11bo5bo$16boob3ob3oboo3b
3obobo6bobo3booboboo3bobo10b4o3bobobo3b4o4bobobobboo14boo5b3o16boo32bo
bbo7b4o5b4o16bo11bo7booboo11b5o$16boo9boo3boo3booboo3bo7bobo7bo10boo5b
o3bo5boo4bobo4bo41boo31boobobo8b9o20bob5obo9bob3o$19bob3obo12b3o7boob
oobobooboo15boo11boo6boo46boo32bo15booboo40bobobo13bo$22bo15bo8bobbob
5obobbo14boobob5oboboo9bo79bo3bo11b3o52bo6bo6bo$19b7o11bobbo7b4o5b4o
17b3o5b3o11bo96bo44boo6b3oboo5boob3o$36boobobo8b9o37b3oboo78boo44bo15b
3o5boob3obobob3oboo$21bobo12bo59b3o79boobo11b3o3b3o23bobo13bo3bo11bobo
$22bo14bo3bo41bo13boboo77boboo9boo3bobo3boo15bo4bo3bo4bo7bo3bo8bobo3bo
bo$14b3obbo5bobb3o23bo27bobo13boo80boo9bo11bo14boo5bobo5boo6bo13boo3b
oo$15bobb9obbo7boo13booboo42bo79b3o9bo4bobo4bo13boobo5bo5boboo5bo14b5o
$17bo3bobo3bo7boobo13bo3bo25b3o13bobboo76b3o10bo3bobo3bo15bobo11bobo6b
o3bo11b3o$19bo5bo9boboo13bo3bo43boo77b3o12boo3boo18boo11boo8bobbo7boo
bbobobboo$19bo5bo11boo14b3o44bo78bo62bo8boobo7boboo$20bo3bo11b3o57bo3b
o77boobo62boo10booboo$21b3o12b3o61bo78bo71boo11boo$17boo7boo8b3o24boo
8boo25bo77boo17bo46boo7bo9bo$16bobobbobobbobo7bo25bobbo32bobbo95bo35bo
10bo5boobboo5boobboo$15boo4bobo4boo5boobo15bo6b3o6booboo7b3o14b3o78bo
8b3o5bo27b3o5bo15bobboo4bo4boobbo$15boo4bobo4boo6bo17bo7boo6bobbo27bo
77bo5boo45bobobboo4boo8bo3b3o3bo$35boo17bo12bobb3o106bo5boobbobbo43boo
bo12boo3b3o3boo$15booboo5booboo36boo33boo81bo3bo3bo42boobo11boo13boo$
13boo4bo5bo4boo5bo8b3o17bo23bo97boo23bobo15b4o19boob3oboo$13b3obboob3o
boobb3o4bo5boo45b3obbo5b3o83booboboo21boo15boobobo17bo7bo$14boboboobbo
bboobobo5bo5boobbobbo39b3obboo92bobbobo3bo16bo15bo3boobo14bobbo5bobbo$
14boo3bo5bo3boo10bo3bo3bo39bo6bo88bobbobb3o3bo32bobb4o14bobobo5bobobo$
19b7o19boo7bo27b3o4b3obobo88bobbobbobo4bo27b3o10boo15b7o$19bo5bo17boob
oboo4bo33boobo92bo7bo38bobobob3o11bob4obob4obo$19b3ob3o19bobbobo3bo32b
o4boo91bobobobo40b3oboo12boo3boo3boo3boo$15b3obo5bob3o12bobbobb3o37bo
6bo91boobo42boo15b3oboo5boob3o$16boobb5obboo12bobbobbobo38bobobb3o90b
oo47b3o13bobo9bobo$15bobobbo3bobbobo11bo7bo39boobboobo39bo113bobbobobo
bobobobbo$15bo3bo5bo3bo12bobobobo40b3obobo41boo58bo34b3o15boobobobobob
oboboo$15bobboo5boobbo14boobo45bo42boo50b5o4bo33b5o13bobobobo5bobobobo
$15bo13bo13boo9bo27b3o9bo92bobobbo4bo27b3obbo19bo15bo$16boob3ob3oboo
25bo6bo31bo96b3o38bobbo18boo7boo$14booboboo3booboboo23bo5bo29bo99boo
41booboo$13bobo13bobo13b5o10b3o26bo95b4o3bo38bobboobbo13boo3b3o3boo$
13bo3boo7boo3bo12bobobbo37boobb3o90boboobb3o28bobo6bobbobo3bo12boo9boo
$47b3o42boo90boo5boo29boo6bo8bo10booboobbobobbooboo$14bobbo9bobbo16boo
40boobo92bo4b3o29bo7bo6bo12boobo3bobo3boboo$22bo19b4o3bo39bobb4o88boo
4b3o38bobbo3boo13bobo5bobo$16boo3b3o3boo12boboobb3o32b3o4boo5bo93bo40b
o18boo13boo$15bobo3b3o3bobo11boo5boo36bobbo6bo92boobo40boo18b11o$14boo
bo9boboo11bo4b3o36bobbo5bo94bo60boobbo5bobboo$17b3obbobb3o13boo4b3o39b
o5boo92boo42boo21booboo$14boobboobbobboobboo16bo39bobbo142bo20boo5boo$
15boobb7obboo16boobo38b3o100bo61bo9bo$15boo11boo17bo42bo99bo41boo18bo
4bobo4bo$20booboo21boo142bo61bobob5obobo$19bobobobo64boo159boobo7boboo
$17booboobooboo20bo4bo197b4obb3obb4o9bo$17b5ob5o19bo4bo36b3o163bo5bo
13bo$16bobo7bobo18bo4b3o194boo15boo6bobo$16bo5bo5bo200bobo$16b3o3bo3b
3o201boo19boboobo3boboobo7bo$4b3o7bo4bobbobbo4bo199bo20bo3b3ob3o3bo6bo
b4o$13bo4bo7bo4bo222booboboboo9boboboo$3bobbo7bo15bo220bo3bobobobo3bo
7boboobbo$3bo3bo9bo9bo223boobbo5bobboo9bo3bo$6boo7b3ob3ob3ob3o223bo9bo
11boo$3boobobo7bobobbobobbobo220bobo3booboboo3bobo6bobob3o$bbobobbo7bo
5bobo5bo219bo7bobo7bo3booboo3boo$b3o11booboboobooboboo122bo99booboobob
ooboo7b3o$bobboo14booboo128boo96bobbob5obobbo8bo$oobbobobo4b4o3bobobo
3b4o120boo98b4o5b4o7bobbo$bo4bobo4boo5bo3bo5boo222b9o8boboboo$7boo6boo
11boo15bo210booboo15bo$5bo9boobob5oboboo14bo212b3o11bo3bo$5bo11b3o5b3o
16b3o211bo$4boob3o227bobo34boo$7b3o228boo14b3o3b3o11boboo$5boobo13bo
215bo13boo3bobo3boo9boobo$6boo13bobo228bo11bo9boo$6bo245bo4bobo4bo9b3o
$3boobbo13b3o229bo3bobo3bo10b3o$4boo249boo3boo12b3o$5bo270bo$5bo3bo
264boboo$5bo270bo$5bo252bo17boo$4bobbo28bo221bo$4b3o14b3o12b3o206boo
11bo5b3o8bo$4bo27boobo3bo204boo23boo5bo$32boobboobbo204boboo14bobbobb
oo5bo$3boo28bo4bo3bo195boo8bo14bo3bo3bo$15bo16boo8bo195boo6b3o17boo$3b
3o5bobb3o15boo6bo142b3o13b3o13b3o13b3o29booboboo$10boobb3o24bo141bo15b
o15bo15bo26bo3bobobbo$9bo6bo167bo15bo15bo15bo25bo3b3obbobbo$10bobob3o
4b3o234bo4bobobbobbo$14boboo26boo14boo14boo14boo14boo14boo14boo14boo
105bo7bo$12boo4bo26boo14boo14boo14boo14boo14boo14boo14boo105bobobobo$
10bo6bo26bo15bo15bo15bo15bo15bo15bo15bo11bo6bo89boboo$10b3obbobo149bo
8bo91boo$9boboobboo151bo6bo$10bobob3o241bo$12bo245bo4b5o$11bo9b3o234bo
4bobbobo$12bo250b3o$15bo248boo$16bo246bo3b4o$12b3obboo244b3obboobo$12b
oo249boo5boo$13boboo246b3o4bo$10b4obbo246b3o4boo$9bo5boo4b3o241bo$9bo
6bobbo243boboo$10bo5bobbo245bo$9boo5bo248boo$15bobbo$15b3o246bo$15bo
249bo$265bo$14boo$$14b3o!

I looked at other c/3 rakes so as to find a smaller front end, and which created actual eaters using glider pairs. (In particular, the period 54 rakes). However, the reactions didn't seem to want to repeat cleanly. Other periods would probably work, but then those rakes would be larger.

In any case, I think using the double-block reaction for a sawtooth is interesting.

Finally, this is a new sawtooth spaceship speed (c/3 front, c/4 back).

BCNU,
-dbell

[I6_I6]

Which sawtooth has the slowest expansion rate?

[dbell]

Which sawtooth has the slowest expansion rate?

Well, anchored patterns behaving like binary counters have pretty slow expansions.

For example, the logarithmetic growth pattern seen here:
https://conwaylife.com/forums/viewtopic ... 30#p173130
is slowly expanding but at the same time quick enough to watch it run.

But the winner is seen in the LifeWiki under O(sqrt(log(t))), which is so large and slow that I have never seen it run. (Sorry, I can't make a link to it.)

For non-oblique sawtooth spaceships, you can subtract the front end speed from the back end speed to compare them.

It seems that the walrus and Cordership sawtooth is slowest growing:
https://conwaylife.com/forums/viewtopic ... 93#p219193
The difference between the front and back ends is c/8 - c/12 (0.042c).

I don't know how to calculate the expansion rate of the oblique sawtooth so I can't compare it.

BCNU,
-dbell

[dbell]

Here is a sawtooth spaceship based on a restartable boatstretcher and Corderships.

Code: Select all

#C A diagonal sawtooth spaceship with a minimum population around 1760.
#C This uses a restartable diagonal c/4 boatstretcher and several
#C diagonal c/12 period 288 Cordership rakes and sparking Corderships.
#C The sawtooth runs in several stages.  Firstly, the boatstretcher
#C grows while a single glider emitted by the Cordership convoy catches
#C up to it.  Then the glider impacts on the fuse which which starts
#C burning while creating a beehive.  Then the fuse begins growing again
#C while the Cordership convoy catches up to the beehive.  Finally,
#C the Cordership convoy detects and deletes the beehive to release a
#C new glider to begin another cycle.  The minimum population varies on
#C each cycle and first reaches the lowest population at generation 2690.
#C David I. Bell, 6 September 2026
x = 322, y = 310, rule = B3/S23
bb3o$bbo$3bo$5boo$6bo$$3bo29boo$4obo26boo$o4bo28bo$bo4boo5boo21bo$3bo
bb3o4bobo16b6o$7boo4bo18bobbo$4booboo7bo15b6o$5boboo6bobbo14bo3bo$5bob
o7bobbo13boo$6boo4b3obbo12boob3o$10bobobbo11boobbo3bo$9boob4o7b3ob3obo
$10boboo9bo5bobo$10bobo4b3o4bo7boo$11boo13bo$18bobo$20bobb4o$20booboo$
23bo5b3o$21boo6bobb3o$21bo8bobo$16boobo15bo$16bo3bo12bo$16bo3bo14bobo$
18bobo7boobo6bo$27boo3bobbobbo$19bobo6bobbobbo3bo$28bobbobbo3bo$21boo
5bo6bobo$23bo9boo$18boo4boo6b3o$17boo10bo3bo$19bo5boboboobo$21boo4boo$
20bo10bo$$19bobbo5bobbo$11boo5boobbobo$10boo5bo5bobo$12bo4bobo4bobo$
14boobbo6bobo$14boo10bobo$27bobo$28bobo123boo$29bobo123bobbo4bo$30bobo
119bobb3obobbobo$31bobo118bobbo4b4o$32bobo117bobbo$33bobo119bo6bo$34bo
bo117boobo$35bobo124bo11boo$36bobo121boo12boo$37bobo$38boo3$136bo$135b
3o15bo$134booboo14bo28boo$133boo3bo7b4o3bo28boo$134bobobobo5bo3bo$135b
oobobbo4boo3bo$138boobo7b3o25bobbo$139boo10boobo21bo4bo$152b3o20boobo
bbo$153bo20boo3bobbo$175boo3boo$171bo4bo$171boo$169b6o$169boob3o$169b
oobobo$160bo$156bobbo4bo$156bobbobb4obo$141boo15bobboob3o$141boo14boob
3o$124bo33b3o$124bo33b3o$124bo$125boo$125b3o$125boo$140boo7boo$140boo
7boo3$124bo$123bobo$123bobbo$$148boo$122bobbo22boo$122boob3o$124boobbo
29bo$125bobbo30bo$110bobo12bobo13boo13bobbo$110b3o27bo15bobo$110boo29b
obo15bo$141bobo14boboo$91b3o47b3o12boboobo$91bo21bo24b4o15bo$92bo18bob
o24bo3bo$111b3o24boboo$114bo25bo4bo$110b5o31bo$145bo$137boo$139bo9bobo
$136bobo10boo$136bobo11bo$135bo$136boo$134bo$134bobo$135bo$115boo15boo
$115boo15bobo$134bo$129bobb3o$128boboo$128boboo$129bo$170b3o$123boo43b
7o6bo$123boo42b9o4bo$166bo7b3obboo$167b3o6bo3bobbo$168boo11b3o$171bo
10bo$172bo18boo$173bo17boo5$158bo$158bo$158bo8bo23b3o5boo$165bobo20boo
bobo5boo$159b3obbo3bo19bobbobo80boobo$160bob5o10boboo5b3o84b3obo6bobo$
166bo4boo4bobo3booboo84bo4bobo4bo$161boo8boo6boob3obbo85boo6bobo3bo$
274bo3bobbobboo$277boboo3bo$276bobo16boo$276bobo16boo$$112b3o6bo$111bo
4bo3bobo133bobo$111bo4boo3bo133bo$92bobo16bo6bo50bo86bobbo$78bobo7bobb
obbo17b3obobbobo46b4o86bobo$77booboo5boboboobo21b5o45b5obo88bo11b3o27b
oo$78boboo6bo32bo38b3obbo6boo86b3o40boo$82bo11b3o67bo3bob3o87bo41boo$
81bo13boo68bobobboo86boo40bobo$81bo12boo7boo155bo13b3o$67b3o33boo153bo
bbo12b3o21bo4bo$258bobo13boo21boob4o$68bo46b3o140bo14bo24bo$68boob3o
43bo153boobbo19b3o5boo$67bob4o43bo49boo104bo3bo18boo$67bob3o4boo88boo
104bobbo19boo$68b3o5boo195b3o$69bo26bo$96boo$94b4o$66booboo23boboboo$
66booboo22bo4bo$67boboo23bo3bo145b3o15boo$68boo173bobbo15boo$69boo4boo
165bo4bo$70bobobboo165bobb3o$56bobo7bobbobbo169bo5bo$55booboo5boboboob
o170b7o$56boboo6bo182bo$60bo11b3o57b3o6bo107bo$59bo13boo58boo3boobo
105boo12boo7boo$59bo12boo58boo5bobo119boo7boo$137b3obo$104b3o33boo$
113bo132bo$106boo5b3o129bobo$106b4o4bo129boobo$79boo25boob3oboo129boo$
79boo30bobo131b3o21boo$125boo119bo22boo$125boo105bo14bobbo$232bo11bo6b
o$72boboo156bo11bo6bo$61boo10bo4bo150bob3obo8bo4b3o$61boo11b3o12bo139b
ob5o$71bo4boo10b3o7boo133bobo$71bobobo11bo10boo10bo119boo28bobo$73bo
14booboo12boo123boo28boobbo$89b3oboo10boob3o6boo112bo27boo4bo$91b4o14b
oo6boo11bo100boo26boo3bo$110boo4booboo9boo100bo3boo22bo$69boo40bo4boo
bbo8bobo100bo27bobo$69boo45boobbo109boboo28bo$117b3o111bo27bo27boo$97b
oo10boo148bobbo24bobo$82b3o12boo10boo71bo78bo25bo$91bo91boo$84boo5b3o
25boo61boo72bo$84b4o4bo26boo134bobo$84boob3oboo164bo$89bobo161bo$253bo
3bo$$236boo12b3obbobo$236boo11bo3bobbo$249booboo$250boo$$251bo$249boob
o$93boo154boobo$96bo147boo4boo35bo$86bo4boo4boo145boo40b3o14boo$86bo3b
oo6bo6bo179bo10bobbo4bo$86bobb3obboobbo5bobo179booboo6b3obbobbo$94boob
o6bobo90bo89b3oboo5boobbobbo$105bo90bobo90b4o9bobbo$196bobo104b3o6boo$
100boo94bobbo112boo$101bo95bobo$101b3o96bo$91boo106boo$91boo106bo$313b
3o$280bo7bo22boob3o$279b3o5bobo26boobboo$278boob4obbobbo23bobo3boo$
279b3obbo23bo3b4o$280bobboobbo19bo3bo$284boobobobboo$197bo90bo3boo13b
oo$307boo$304boobo$149bo27booboo16bo105b4o$148b3o26boo19bo107bo$147b3o
bo14bo10boobobo52b3o$146boo3boo6bobbo3bo13bobo52bo$145boobobboo6bo3bo
bbo14boo48boo3bo$146booboboo5bo$139bo7b3oboo6boboo67bo3bo49bo$138bobo
8bo4bo80bo47b4o6boo$137booboo8b4o20boo52bo7bo45bo4bo4b3oboo$137booboo
10bo12boboo5boo12b3o36bo4bo48boo10boob3o$136b3o26b3o22bo37bobobo4bo44b
oboboo4b3oboo$136b3o3bo23bo22bo38bo8bo45b3o6boo$136b3o4bo63bobo19bo4b
oobo46bo$137boo5bo53bob3o4bobo20boboob3o$137b3o7boo47boobo4bo5bo20b3ob
oo$138boo7boo49boo4bobbobbo$139bo64bobbobbo$203bo4bo78boo$163boo4bo29b
obbo16boo66boo$162b3o4boo29boo17boo$163bob4obo$164b6o13bobo$127bo12bob
o22bo16bobbo$126b3o11boo4boo35bobo$125b3obo7bo7b3o44boo34boo$124boo3b
oo17bo43boo35boo$123boobobboo5bo3boob5o37bo18boo9boo11bo$124booboboo5b
obo3b5o37boboo15bobooboobo4bo$125b3oboo9bo43boboo18boo3bo$127bo4bo7bob
o40bo3bo16bo6bo$128b4o12bo39b4o17bobboo$130bo12boboo37b3o18b3o5boo$
143b3o66bo$144bo46boo20boboo$185bobo3boo22bo$176bob3o4bobo26bo$150boo
22boobo4bo5bo24boo$150boo24boo4bobbobbo24boo$182bobbobbo$181bo4bo$177b
obbo$147bobo28boo$132boo13bobbo$132boo11bo4bo$145bob3o$144bo$145bobo$
145bobo$$194b3o$140boo52b3o$140boo36bo4bobo7bo3boo$177bobobboobboo6boo
boo$177bob4obbobo6boobo$178bo6bobo9bo$182bob3o10bobo$198bo4$185boo$
185boo!

I'm not quite sure about the minimum repeating population since it varies on each cycle and I didn't see a repeat of the population 1760 one.

Igniting a boatstretcher wick has always been tricky since there is only 1/12 chance that the timing of a random ignition is correct. However, when ignited by gliders from a period 192 forward glider stream as is done here, the boatstretcher reaction is completely robust. I was surprised that it can be safely repeatedly ignited by any sequence of gliders spaced at any multiple of 192 generations apart, no matter how irregular.

The tricky part of the sawtooth is the safe detection of the beehive since its placement within the Cordership convoy has several different positions which all have to be handled.

Finally, this is a new sawtooth spaceship speed (front c/4, back c/12).

BCNU,
-dbell

[dbell]

Many sawtooths are based on a "tractor beam" reaction where a stream of spaceships pulls an object backwards towards the main part of the sawtooth.

Here is new type of sawtooth which uses a "repulsor beam" reaction instead.

Code: Select all

#C An orthogonal sawtooth spaceship based on a "repulsor beam" reaction.
#C This uses two c/5 spider spaceships on the front end, and a convoy of
#C c/10 rakes and spaceships on the back end.  Period 3600 c/10 rakes at
#C the back end create a stream of MWSS-LWSS pairs aimed the the
#C receding spiders.  The first MWSS-LWSS pair hits the spiders to cleanly
#C create a beehive.  Further MWSS-LWSS pairs then hit the beehive and
#C push it forwards by two cells on each impact.  However, eventually the
#C much faster back end catches up to the receding beehive and deletes it,
#C thereby releasing a new MWSS-LWSS stream to start the next cycle.
#C The deletion is done with two identical period 200 c/10 convoys which
#C create sparks from kick-back reactions to delete the beehive without
#C affecting the MWSS-LWSS stream.
#C David I. Bell, 10 September 2026
#C [[ MAXGRIDSIZE 14 ]]
x = 2046, y = 952, rule = B3/S23
454boobbo$454boobobbo$450bo4bo4bo$451bo4bobbobo$451bo4bobbobo$450bo4bo
4bo$454boobobbo$454boobbo4$453boo$452bobbo6bo$455bo6boob3o$452b3obboo
7b3o$459bo4boo3bo$415bo7boboo32bo4boo3bo$414b3o5bo6bo22b3obboo7b3o$
389boo22bo4bobboo3bobbo25bo6boob3o$389bobo6boobbo9b3o4bobo5boo23bobbo
6bo$388bobboo5boobobbo7b3o4bobo5boo24boo$389boo3bo4bo4bo8bo4bobboo3bo
bbo$389bo5bo4bobbobo8b3o5bo6bo$389bo5bo4bobbobo9bo7boboo41boo$389boo3b
o4bo4bo63bobo6boobbo$388bobboo5boobobbo62bobboo5boobobbo$367boo20bobo
6boobbo65boo3bo4bo4bo$367bobo6boobbo8boo77bo5bo4bobbobo$366bobboo5boob
obbo85bo5bo4bobbobo$367boo3bo4bo4bo85boo3bo4bo4bo$367bo5bo4bobbobo83bo
bboo5boobobbo$367bo5bo4bobbobo84bobo6boobbo$367boo3bo4bo4bo85boo$366bo
bboo5boobobbo$367bobo6boobbo$367boo108boo$477bobo6boobbo$476bobboo5boo
bobbo$477boo3bo4bo4bo$477bo5bo4bobbobo$477bo5bo4bobbobo$477boo3bo4bo4b
o$476bobboo5boobobbo$477bobo6boobbo$477boo$$292boobbo$292boobobbo79bo$
288bo4bo4bo77boobo$289bo4bobbobo76boobo5b3oboo$289bo4bobbobo77boo3bo4b
oobboo$288bo4bo4bo82boo5bo4bo94boo$292boobobbo82boo5bo4bo93booboo5b3o$
292boobbo80boo3bo4boobboo94bobboo10bo$376boobo5b3oboo96b4o6boo3b3o$
376boobo107boo4boo3boobbobo$378bo17bo90boo4boo3boobbobo$291boo103boob
3o85b4o6boo3b3o$290bobbo6bo90boo7b3o84bobboo10bo$293bo6boob3o87bo4boo
3bo83booboo5b3o$290b3obboo7b3o86bo4boo3bo84boo$297bo4boo3bo66bo7boboo
5boo7b3o$253bo7boboo32bo4boo3bo65b3o5bo6bo7boob3o$252b3o5bo6bo22b3obb
oo7b3o65bo4bobboo3bobbo7bo$227boo22bo4bobboo3bobbo25bo6boob3o65b3o4bob
o5boo$227bobo6boobbo9b3o4bobo5boo23bobbo6bo70b3o4bobo5boo106boo$226bo
bboo5boobobbo7b3o4bobo5boo24boo79bo4bobboo3bobbo104booboo5b3o$227boo3b
o4bo4bo8bo4bobboo3bobbo105b3o5bo6bo104bobboo10bo$227bo5bo4bobbobo8b3o
5bo6bo106bo7boboo107b4o6boo3b3o$227bo5bo4bobbobo9bo7boboo41boo185boo4b
oo3boobbobo$227boo3bo4bo4bo63bobo6boobbo173boo4boo3boobbobo$226bobboo
5boobobbo62bobboo5boobobbo171b4o6boo3b3o$205boo20bobo6boobbo65boo3bo4b
o4bo71boo98bobboo10bo$205bobo6boobbo8boo77bo5bo4bobbobo60boo8boo98boob
oo5b3o$204bobboo5boobobbo85bo5bo4bobbobo60boo109boo$205boo3bo4bo4bo85b
oo3bo4bo4bo$205bo5bo4bobbobo83bobboo5boobobbo51boo124boo$205bo5bo4bobb
obo84bobo6boobbo52b4o123bobo6boobbo$205boo3bo4bo4bo5bo79boo63booboo7b
oo113bobboo5boobobbo$204bobboo5boobobbo5bo144boobboo5bob5o110boo3bo4bo
4bo$205bobo6boobbo7bo143b3o10boo4boo108bo5bo4bobbobo$205boo108boo53b3o
4b3o3bo115bo5bo4bobbobo$110boboo201bobo6boobbo41b3o4b3o3bo115boo3bo4bo
4bo$109bo6bo197bobboo5boobobbo39b3o10boo4boo107bobboo5boobobbo$108boo
3bobbo92boo104boo3bo4bo4bo40boobboo5bob5o6bo103bobo6boobbo$105boobo5b
oo93boo104bo5bo4bobbobo39booboo7boo8boobo102boo$105boobo5boo199bo5bo4b
obbobo40b4o17boobo5b3oboo$108boo3bobbo198boo3bo4bo4bo42boo19boo3bo4boo
bboo$109bo6bo197bobboo5boobobbo67boo5bo4bo$110boboo201bobo6boobbo69boo
5bo4bo$315boo77boo3bo4boobboo7bo7boboo$393boobo5b3oboo8b3o5bo6bo$107bo
bbo282boobo18bo4bobboo3bobbo$106bo109bo178bo18b3o4bobo5boo$118booboo
91boobo196b3o4bobo5boo$109b3o5bo3b4o89boobo5b3oboo186bo4bobboo3bobbo
22boo$108bobb3o3bo3b4o90boo3bo4boobboo185b3o5bo6bo22bobo6boobbo$69boo
33bo3bo3bobobboo100boo5bo4bo94boo89bo7boboo24bobboo5boobobbo$69bobo6b
oobbo21bo3bo3bobobboo100boo5bo4bo93booboo5b3o116boo3bo4bo4bo$68bobboo
5boobobbo23bobb3o3bo3b4o90boo3bo4boobboo94bobboo10bo113bo5bo4bobbobo$
69boo3bo4bo4bo24b3o5bo3b4o89boobo5b3oboo96b4o6boo3b3o111bo5bo4bobbobo$
46bo7boboo11bo5bo4bobbobo32booboo91boobo107boo4boo3boobbobo111boo3bo4b
o4bo$45b3o5bo6bo8bo5bo4bobbobo20bo109bo17bo90boo4boo3boobbobo110bobboo
5boobobbo$44bo4bobboo3bobbo8boo3bo4bo4bo22bobbo123boob3o85b4o6boo3b3o
111bobo6boobbo$43b3o4bobo5boo8bobboo5boobobbo144boo7b3o84bobboo10bo
113boo$43b3o4bobo5boo9bobo6boobbo148bo4boo3bo83booboo5b3o$44bo4bobboo
3bobbo8boo54bo7boboo94bo4boo3bo84boo$45b3o5bo6bo63b3o5bo6bo72bo7boboo
5boo7b3o$46bo7boboo65bo4bobboo3bobbo71b3o5bo6bo7boob3o$24bo7boboo86b3o
4bobo5boo71bo4bobboo3bobbo7bo$23b3o5bo6bo83b3o4bobo5boo70b3o4bobo5boo$
22bo4bobboo3bobbo84bo4bobboo3bobbo69b3o4bobo5boo106boo$21b3o4bobo5boo
86b3o5bo6bo70bo4bobboo3bobbo104booboo5b3o$21b3o4bobo5boo87bo7boboo74b
3o5bo6bo104bobboo10bo$22bo4bobboo3bobbo173bo7boboo107b4o6boo3b3o$23b3o
5bo6bo292boo4boo3boobbobo$24bo7boboo295boo4boo3boobbobo$331b4o6boo3b3o
$134bo7boboo104boo79bobboo10bo$133b3o5bo6bo91boo8boo79booboo5b3o$132bo
4bobboo3bobbo91boo90boo$131b3o4bobo5boo$131b3o4bobo5boo63boo124boo$
132bo4bobboo3bobbo61b4o123bobo6boobbo$133b3o5bo6bo60booboo7boo113bobb
oo5boobobbo$134bo7boboo63boobboo5bob5o110boo3bo4bo4bo$208b3o10boo4boo
10boo96bo5bo4bobbobo$208b3o4b3o3bo17boo96bo5bo4bobbobo$32boo174b3o4b3o
3bo115boo3bo4bo4bo$31b4o173b3o10boo4boo107bobboo5boobobbo$30booboo7boo
165boobboo5bob5o6bo103bobo6boobbo$30boobboo5bob5o161booboo7boo8boobo
102boo$29b3o10boo4boo160b4o17boobo5b3oboo$29b3o4b3o3bo168boo19boo3bo4b
oobboo$29b3o4b3o3bo101b3o89boo5bo4bo$29b3o10boo4boo94b3o4b3oboo79boo5b
o4bo$30boobboo5bob5o94bo7b3o4bobo72boo3bo4boobboo7bo7boboo$30booboo7b
oo104boobo4bobbo71boobo5b3oboo8b3o5bo6bo$31b4o17booboo91boobo4bobbo71b
oobo18bo4bobboo3bobbo$32boo17bo3b4o83bo7b3o4bobo73bo18b3o4bobo5boo$51b
o3b4o85b3o4b3oboo95b3o4bobo5boo$47boobboo91b3o106bo4bobboo3bobbo22boo$
28boo17boobboo201b3o5bo6bo22bobo6boobbo$28bobo6boobbo9bo3b4o196bo7bob
oo24bobboo5boobobbo$27bobboo5boobobbo7bo3b4o233boo3bo4bo4bo$28boo3bo4b
o4bo8booboo235bo5bo4bobbobo$28bo5bo4bobbobo247bo5bo4bobbobo$28bo5bo4bo
bbobo247boo3bo4bo4bo$28boo3bo4bo4bo106b3o138bobboo5boobobbo$27bobboo5b
oobobbo106b3o4b3oboo129bobo6boobbo$28bobo6boobbo106bo7b3o4bobo126boo$
28boo124boobo4bobbo$154boobo4bobbo$148bo7b3o4bobo$150b3o4b3oboo$150b3o
4$30bo125bo7boboo$28boobo123b3o5bo6bo$28boobo5b3oboo111bo4bobboo3bobbo
283boo$29boo3bo4boobboo108b3o4bobo5boo284bobo6boobbo$33boo5bo4bo107b3o
4bobo5boo283bobboo5boobobbo$33boo5bo4bo108bo4bobboo3bobbo283boo3bo4bo
4bo$29boo3bo4boobboo4boo104b3o5bo6bo283bo5bo4bobbobo$28boobo5b3oboo5b
4o104bo7boboo286bo5bo4bobbobo$28boobo15booboo7boo393boo3bo4bo4bo$30bo
16boobboo5bob5o352bo7boboo24bobboo5boobobbo$46b3o10boo4boo349b3o5bo6bo
22bobo6boobbo$46b3o4b3o3bo355bo4bobboo3bobbo22boo$46b3o4b3o3bo11boo
341b3o4bobo5boo$46b3o10boo4boo4bobo6boobbo310bo18b3o4bobo5boo$47boobb
oo5bob5o5bobboo5boobobbo306boobo18bo4bobboo3bobbo328boo738b4o7bo$47boo
boo7boo10boo3bo4bo4bo306boobo5b3oboo8b3o5bo6bo39b3o286bobo6boobbo726bo
3bo6bo$48b4o19bo5bo4bobbobo306boo3bo4boobboo7bo7boboo330bobboo5boobobb
o723bo12bobbo$49boo20bo5bo4bobbobo310boo5bo4bo349boo3bo4bo4bo723bo3boo
5b3oboobo$71boo3bo4bo4bo311boo5bo4bo349bo5bo4bobbobo722bo6boo6booboo$
70bobboo5boobobbo24bo7boboo250boo19boo3bo4boobboo350bo5bo4bobbobo722bo
6boo6booboo$71bobo6boobbo25b3o5bo6bo246b4o17boobo5b3oboo67boo283boo3bo
4bo4bo723bo3boo5b3oboobo$71boo36bo4bobboo3bobbo245booboo7boo8boobo78b
oo22boo258bobboo5boobobbo723bo12bobbo$108b3o4bobo5boo246boobboo5bob5o
6bo103bobo6boobbo247bobo6boobbo726bo3bo6bo$108b3o4bobo5boo245b3o10boo
4boo107bobboo5boobobbo245boo738b4o7bo$109bo4bobboo3bobbo244b3o4b3o3bo
115boo3bo4bo4bo265boo739boo$110b3o5bo6bo244b3o4b3o3bo88boo25bo5bo4bobb
obo263bobbo6bo730booboo5b3o$111bo7boboo247b3o10boo4boo81boo25bo5bo4bo
bbobo266bo6boob3o725bobboo10bo$371boobboo5bob5o110boo3bo4bo4bo264b3obb
oo7b3o724b4o6boo3b3o$371booboo7boo113bobboo5boobobbo211boo58bo4boo3bo
669b3o51boo4boo3boobbobo$372b4o123bobo6boobbo202bo10bo59bo4boo3bo669b
3o27boboo20boo4boo3boobbobo$373boo124boo211bo16bo49b3obboo7b3o277bo
388booboo28bobboboo18b4o6boo3b3o275boo$712bobboobo4b5obboo28bo21bo6boo
b3o277bobo5bo370boo8bobboo4bo24bo5bo18bobboo10bo276bobbo6bo$473boo19b
oo215bo6bo4b4o3boo27boo18bobbo6bo281boobo3bobbobbo366boo7bo8boboo20boo
bbobo20booboo5b3o282bo6boob3o$473boo8boo8booboo5b3o206bo8boobob3o3bo
25bobboo17boo291bo3bo3boboboo373bo4bo7bo19bo6bo20boo289b3obboo7b3o$
483boo8bobboo10bo181bobbo27bobo6bobo25boo4bo20boo289bo7booboo372bo3bo
3boo348bo4boo3bo$493b4o6boo3b3o178bo31b3o6bo31b3o19b4o288bo7booboo372b
o9b3o20bo4bo319bo4boo3bo$493boo4boo3boobbobo190booboo21bobbo32boo18boo
boo7boo276bo3bo3boboboo346b3o26b3o32bo30bo7boboo272b3obboo7b3o$493boo
4boo3boobbobo181b3o5bo3b4o20boo24boo18boo7boobboo5bob5o270boobo3bobbo
bbo348b3o4b3oboo16bo41bobo7boo11b3o5bo6bo272bo6boob3o$374bo7boboo107b
4o6boo3b3o180bobb3o3bo3b4o46boo18boo6b3o10boo4boo269bobo5bo350bo7b3o4b
obo56boo7boo10bo4bobboo3bobbo269bobbo6bo$373b3o5bo6bo104bobboo10bo178b
o3bo3bobobboo80b3o4b3o3bo277bo363boobo4bobbo56bo19b3o4bobo5boo271boo$
372bo4bobboo3bobbo104booboo5b3o181bo3bo3bobobboo80b3o4b3o3bo641boobo4b
obbo76b3o4bobo5boo292bo$371b3o4bobo5boo106boo195bobb3o3bo3b4o74b3o10b
oo4boo289b3o336bo7b3o4bobo37boo38bo4bobboo3bobbo289boobo$371b3o4bobo5b
oo304b3o5bo3b4o37boo36boobboo5bob5o291b3o4b3oboo328b3o4b3oboo39b4o38b
3o5bo6bo289boobo5b3oboo$372bo4bobboo3bobbo7bo304booboo38booboo5b3o26b
ooboo7boo293bo7b3o4bobo325b3o48booboo7boo30bo7boboo293boo3bo4boobboo$
373b3o5bo6bo7boob3o287bo54bobboo10bo24b4o308boobo4bobbo376boobboo5bob
5o335boo5bo4bo$374bo7boboo5boo7b3o287bobbo50b4o6boo3b3o23boo309boobo4b
obbo375b3o10boo4boo333boo5bo4bo$393bo4boo3bo84boo254boo4boo3boobbobo
286boo40bo7b3o4bobo375b3o4b3o3bo336boo3bo4boobboo$393bo4boo3bo83booboo
5b3o244boo4boo3boobbobo249boo37bo41b3o4b3oboo378b3o4b3o3bo254boo79boob
o5b3oboo$292boo97boo7b3o66bo17bobboo10bo241b4o6boo3b3o249boo35boo5boo
35b3o388b3o10boo4boo247boo79boobo$292bobo6boobbo90boob3o66bobo16b4o6b
oo3b3o239bobboo10bo289b4o4bo426boobboo5bob5o332bo$291bobboo5boobobbo
70bo17bo71bobo16boo4boo3boobbobo239booboo5b3o293b3o431booboo7boo246boo
46boo$292boo3bo4bo4bo68boobo90bo16boo4boo3boobbobo240boo256boo43bo3bob
3o40boo386b4o254b4o41boobboo43b4o7bo$292bo5bo4bobbobo67boobo5b3oboo79b
obbo13b4o6boo3b3o497booboo5b3o33bobobobo42bobo6boobbo375boo254booboo7b
oo31boo48bo3bo6bo$292bo5bo4bobbobo68boo3bo4boobboo75boobbobo12bobboo
10bo499bobboo10bo32bo3bo19boo20bobboo5boobobbo629boobboo5bob5o36bo17b
oo20bo12bobbo$292boo3bo4bo4bo73boo5bo4bo93booboo5b3o502b4o6boo3b3o34bo
19boo21boo3bo4bo4bo628b3o10boo4boo32boobo16boo20bo3boo5b3oboobo$255bo
7boboo24bobboo5boobobbo73boo5bo4bo78b3o13boo512boo4boo3boobbobo30bobbo
43bo5bo4bobbobo627b3o4b3o3bo36boo4bo38bo6boo6booboo$254b3o5bo6bo22bobo
6boobbo71boo3bo4boobboo609boo4boo3boobbobo30boo45bo5bo4bobbobo627b3o4b
3o3bo36boo3bo39bo6boo6booboo$253bo4bobboo3bobbo22boo82boobo5b3oboo611b
4o6boo3b3o77boo3bo4bo4bo628b3o10boo4boo33bo40bo3boo5b3oboobo$252b3o4bo
bo5boo107boobo90bo531bobboo10bo40bo37bobboo5boobobbo629boobboo5bob5o
38boo28boo6bo12bobbo$233bo18b3o4bobo5boo109bo90b3o530booboo5b3o41boobo
37bobo6boobbo631booboo7boo42bobo6boobbo17boo6bo3bo6bo$231boobo18bo4bo
bboo3bobbo199boobo530boo51boobo5b3oboo26boo644b4o50bobboo5boobobbo14bo
8b4o7bo$231boobo5b3oboo8b3o5bo6bo201boo584boo3bo4boobboo12boo657boo52b
oo3bo4bo4bo$232boo3bo4boobboo7bo7boboo210boo462boo118boo5bo4bo12boo
710bo5bo4bobbobo$236boo5bo4bo228bobo6boobbo449b4o96bo20boo5bo4bo11bo
712bo5bo4bobbobo$236boo5bo4bo227bobboo5boobobbo446booboo7boo88boo14boo
3bo4boobboo611bo7boboo102boo3bo4bo4bo$211boo19boo3bo4boobboo229boo3bo
4bo4bo446boobboo5bob5o83boo14boobo5b3oboo612b3o5bo6bo98bobboo5boobobbo
$210b4o17boobo5b3oboo83bo147bo5bo4bobbobo444b3o10boo4boo97boobo622bo4b
obboo3bobbo84bo14bobo6boobbo$209booboo7boo8boobo92bobo7boo138bo5bo4bo
bbobo444b3o4b3o3bo106bo622b3o4bobo5boo86boo12boo$209boobboo5bob5o6bo
94boo7bobo6boobbo126boo3bo4bo4bo249bo195b3o4b3o3bo729b3o4bobo5boo85boo
$208b3o10boo4boo107bobboo5boobobbo123bobboo5boobobbo247bobo195b3o10boo
4boo723bo4bobboo3bobbo$208b3o4b3o3bo115boo3bo4bo4bo124bobo6boobbo250b
oo196boobboo5bob5o726b3o5bo6bo$208b3o4b3o3bo115bo5bo4bobbobo13boo108b
oo460booboo7boo532bo13boo183bo7boboo$208b3o10boo4boo108bo5bo4bobbobo
13bobo6boobbo559b4o539bobo12bobo200bobbo$209boobboo5bob5o110boo3bo4bo
4bo13bobboo5boobobbo558boo17b4o7bo512boo14bo199bo$209booboo7boo113bobb
oo5boobobbo14boo3bo4bo4bo85boo286boo202bo3bo6bo740booboo$210b4o123bobo
6boobbo16bo5bo4bobbobo84bobo6boobbo273bobo201bo12bobbo727b3o5bo3b4o$
211boo124boo28bo5bo4bobbobo83bobboo5boobobbo273bo201bo3boo5b3oboobo
724bobb3o3bo3b4o$367boo3bo4bo4bo85boo3bo4bo4bo475bo6boo6booboo719bo3bo
3bobobboo$332boo32bobboo5boobobbo85bo5bo4bobbobo474bo6boo6booboo670boo
47bo3bo3bobobboo$331booboo5b3o23bobo6boobbo8boo77bo5bo4bobbobo474bo3b
oo5b3oboobo114bo545bo10bobo50bobb3o3bo3b4o$331bobboo10bo20boo20bobo6b
oobbo65boo3bo4bo4bo418b3o3bo50bo12bobbo114bobo544boo5boboo3bo51b3o5bo
3b4o$331b4o6boo3b3o39bobboo5boobobbo62bobboo5boobobbo417bo3boobbo50bo
3bo6bo119boo543boobo4bo5booboo57booboo$331boo4boo3boobbobo40boo3bo4bo
4bo63bobo6boobbo418bo4bo3bo50b4o7bo665bobboobo4boobobbo28bo3bo12bo134b
o$331boo4boo3boobbobo40bo5bo4bobbobo9bo7boboo41boo431bo4b3o729b4obboo
4booboo27b3obobbo11bobbo128bobo$212bo7boboo107b4o6boo3b3o40bo5bo4bobbo
bo8b3o5bo6bo361bobo80bo22boo8bo38bo667boo23bo7b6o29bobobo22bo124boo$
111bo7boboo88b3o5bo6bo104bobboo10bo42boo3bo4bo4bo8bo4bobboo3bobbo362b
oo79bobo5bo17bo45boboo18b3o643bobbo6bo23b6o35bo18boobo$110b3o5bo6bo84b
o4bobboo3bobbo104booboo5b3o44bobboo5boobobbo7b3o4bobo5boo24boo337bo79b
oobo3bobbobbo17b3o31boo5boobo9boo8b3o4b3oboo636bo6boob3o48boo9boo7boo
8boobo5b3oboo$109bo4bobboo3bobbo83b3o4bobo5boo106boo55bobo6boobbo9b3o
4bobo5boo23bobbo6bo411bo3bo3boboboo49boo6bo11boo6bo7b3o4bobo551bobo76b
3obboo7b3o47boo3bo3bobo8boo9boo3bo4boobboo$108b3o4bobo5boo84b3o4bobo5b
oo163boo22bo4bobboo3bobbo25bo6boob3o409bo7booboo81boobo4bobbo552boo83b
o4boo3bo55bobo23boo5bo4bo$108b3o4bobo5boo85bo4bobboo3bobbo7bo179b3o5bo
6bo22b3obboo7b3o408bo7booboo81boobo4bobbo552bo84bo4boo3bo81boo5bo4bo$
71boo36bo4bobboo3bobbo85b3o5bo6bo7boob3o175bo7boboo32bo4boo3bo404bo3bo
3boboboo37bobbo36bo7b3o4bobo630b3obboo7b3o78boo3bo4boobboo$71bobo6boo
bbo25b3o5bo6bo86bo7boboo5boo7b3o218bo4boo3bo402boobo3bobbobbo38bo42b3o
4b3oboo636bo6boob3o78boobo5b3oboo$70bobboo5boobobbo24bo7boboo108bo4boo
3bo84boo124b3obboo7b3o404bobo5bo54booboo26b3o643bobbo6bo44b3o36boobo$
71boo3bo4bo4bo144bo4boo3bo83booboo5b3o117bo6boob3o406bo52b3o5bo3b4o
671boo52b3o4b3oboo28bo$49boo20bo5bo4bobbobo141boo7b3o84bobboo10bo111bo
bbo6bo463bobb3o3bo3b4o723bo7b3o4bobo$48b4o19bo5bo4bobbobo146boob3o85b
4o6boo3b3o110boo467bo3bo3bobobboo735boobo4bobbo$47booboo7boo10boo3bo4b
o4bo129bo17bo90boo4boo3boobbobo579bo3bo3bobobboo735boobo4bobbo$47boobb
oo5bob5o5bobboo5boobobbo127boobo107boo4boo3boobbobo583bobb3o3bo3b4o
723bo7b3o4bobo$46b3o10boo4boo4bobo6boobbo129boobo5b3oboo96b4o6boo3b3o
211boobbo368b3o5bo3b4o725b3o4b3oboo$46b3o4b3o3bo11boo142boo3bo4boobboo
94bobboo10bo132boo79boobobbo375booboo727b3o$46b3o4b3o3bo159boo5bo4bo
93booboo5b3o134bobbo74bo4bo4bo363bo$46b3o10boo4boo152boo5bo4bo94boo
144bobbo75bo4bobbobo363bobbo$30bo16boobboo5bob5o47boo101boo3bo4boobboo
242boo76bo4bobbobo$28boobo15booboo7boo51boo100boobo5b3oboo321bo4bo4bo$
28boobo5b3oboo5b4o104bo7boboo46boobo336boobobbo$29boo3bo4boobboo4boo
104b3o5bo6bo45bo337boobbo$33boo5bo4bo108bo4bobboo3bobbo1354boobbo$33b
oo5bo4bo63boo42b3o4bobo5boo613b3oboo736boobobbo$29boo3bo4boobboo64boo
42b3o4bobo5boo145boo463bo4boobboo730bo4bo4bo266boo$28boobo5b3oboo111bo
4bobboo3bobbo144bobo6boobbo450boo5bo4bo730bo4bobbobo266boo$28boobo123b
3o5bo6bo143bobboo5boobobbo448boo5bo4bo730bo4bobbobo265bo$30bo125bo7bob
oo147boo3bo4bo4bo449bo4boobboo264boo464bo4bo4bo$315bo5bo4bobbobo451b3o
boo267boo467boobobbo$315bo5bo4bobbobo587bobo133bo14bo454boobbo$110boo
203boo3bo4bo4bo589boo149boo$110boo8boo28b3o161bobboo5boobobbo589bo149b
oo$120boo28b3o4b3oboo152bobo6boobbo1333bobo148bo$148bo7b3o4bobo39boo
108boo1169boo175boo149boo$154boobo4bobbo39bobo6boobbo526boo25bo712b4o
174bo149boo$28boo124boobo4bobbo38bobboo5boobobbo523booboo5b3o13bobo
711booboo7boo$28bobo6boobbo106bo7b3o4bobo39boo3bo4bo4bo85boo436bobboo
10bo11boo711boobboo5bob5o$27bobboo5boobobbo106b3o4b3oboo42bo5bo4bobbob
o84bobo6boobbo424b4o6boo3b3o707boo12b3o10boo4boo11bo$28boo3bo4bo4bo
106b3o52bo5bo4bobbobo83bobboo5boobobbo422boo4boo3boobbobo334boboo368bo
bo12b3o4b3o3bo16bobo320bo$28bo5bo4bobbobo160boo3bo4bo4bo85boo3bo4bo4bo
422boo4boo3boobbobo333bo6bo367bo12b3o4b3o3bo17boo318bobbobbo$28bo5bo4b
obbobo159bobboo5boobobbo85bo5bo4bobbobo357bobbo42boo16b4o6boo3b3o23boo
307boo3bobbo380b3o10boo4boo174bo154bo3boboboo$28boo3bo4bo4bo8booboo
148bobo6boobbo8boo77bo5bo4bobbobo356bo45bobo16bobboo10bo24b4o303boobo
5boo382boobboo5bob5o176boo152bo7booboo$27bobboo5boobobbo7bo3b4o146boo
20bobo6boobbo65boo3bo4bo4bo369booboo31bo16booboo5b3o26booboo7boo294boo
bo5boo321b3o58booboo7boo30bo7boboo137bobo152bo7booboo$28bobo6boobbo9bo
3b4o167bobboo5boobobbo62bobboo5boobobbo360b3o5bo3b4o47boo36boobboo5bob
5o134bo158boo3bobbo320b3o4b3oboo49b4o38b3o5bo6bo290bo3boboboo$28boo17b
oobboo174boo3bo4bo4bo63bobo6boobbo361bobb3o3bo3b4o84b3o10boo4boo132boo
34bo123bo6bo318bo7b3o4bobo47boo38bo4bobboo3bobbo291bobbobbo$47boobboo
91b3o80bo5bo4bobbobo9bo7boboo41boo369bo3bo3bobobboo90b3o4b3o3bo138bobo
35bo123boboo22bo304boobo4bobbo41boo43b3o4bobo5boo294bo$51bo3b4o48bo36b
3o4b3oboo70bo5bo4bobbobo8b3o5bo6bo409bo3bo3bobobboo47b3o40b3o4b3o3bo
174b3o147bobo304boobo4bobbo41boo43b3o4bobo5boo$32boo17bo3b4o48bo34bo7b
3o4bobo67boo3bo4bo4bo8bo4bobboo3bobbo413bobb3o3bo3b4o66boo16b3o10boo4b
oo318boo298bo7b3o4bobo41boo22boo20bo4bobboo3bobbo171bo$31b4o17booboo
50bo40boobo4bobbo66bobboo5boobobbo7b3o4bobo5boo24boo389b3o5bo3b4o44bo
21boo17boobboo5bob5o622b3o4b3oboo45bo22boo21b3o5bo6bo172bo149bo$30boob
oo7boo104boobo4bobbo67bobo6boobbo9b3o4bobo5boo23bobbo6bo390booboo87boo
boo7boo626b3o53bobobo44bo7boboo173b3o147bobo$30boobboo5bob5o94bo7b3o4b
obo67boo22bo4bobboo3bobbo25bo6boob3o373bo59boo3bo39b4o33bobo234bo420b
oo3bo313boo64boo$29b3o10boo4boo94b3o4b3oboo95b3o5bo6bo22b3obboo7b3o
373bobbo52boobo6bo38boo35boo232boobo417bob3obobo312bobo6boobbo$29b3o4b
3o3bo101b3o106bo7boboo32bo4boo3bo432booboobo33boo40bo233boobo5b3oboo
406boobbo3bo35boo274bobboo5boobobbo$29b3o4b3o3bo254bo4boo3bo393boo37bo
b3o34bobbo6bo267boo3bo4boobboo368boo37bobboo35booboo5b3o31bobo231boo3b
o4bo4bo$29b3o10boo4boo240b3obboo7b3o394boo38bo40bo6boob3o266boo5bo4bo
367boo37b4o36bobboo10bo29boo231bo5bo4bobbobo$30boobboo5bob5o21bo223bo
6boob3o473b3obboo7b3o265boo5bo4bo446b4o6boo3b3o27bo232bo5bo4bobbobo$
30booboo7boo24boboo218bobbo6bo485bo4boo3bo260boo3bo4boobboo447boo4boo
3boobbobo196boo62boo3bo4bo4bo$31b4o33bo222boo493bo4boo3bo196boo61boobo
5b3oboo26boo421boo4boo3boobbobo195b4o60bobboo5boobobbo23b4o7bo$32boo
34bo3bo706b3obboo7b3o196booboo5b3o51boobo37bobo6boobbo409b4o6boo3b3o
194booboo7boo52bobo6boobbo7boo16bo3bo6bo$69b3obo708bo6boob3o197bobboo
10bo50bo37bobboo5boobobbo407bobboo10bo196boobboo5bob5o22boo24boo18bobo
15bo12bobbo$73bo318boobbo382bobbo6bo202b4o6boo3b3o87boo3bo4bo4bo407boo
boo5b3o198b3o10boo4boo19b3o46bo15bo3boo5b3oboobo$134bo7boboo184boo60b
oobobbo381boo210boo4boo3boobbobo66boo19bo5bo4bobbobo407boo208b3o4b3o3b
o26bo64bo6boo6booboo$133b3o5bo6bo180bobbo55bo4bo4bo361boo230boo4boo3b
oobbobo22bo42bobo19bo5bo4bobbobo386b4o7bo219b3o4b3o3bo91bo6boo6booboo$
132bo4bobboo3bobbo180bobbo56bo4bobbobo360bobo6boobbo218b4o6boo3b3o21bo
bo43bo6boo11boo3bo4bo4bo387bo3bo6bo219b3o10boo4boo72boo10bo3boo5b3oboo
bo$73b3o55b3o4bobo5boo182boo57bo4bobbobo359bobboo5boobobbo216bobboo10b
o22booboo49boo10bobboo5boobobbo386bo12bobbo216boobboo5bob5o74boo10bo
12bobbo$69boobb3o3boo50b3o4bobo5boo240bo4bo4bo361boo3bo4bo4bo216booboo
5b3o26bobbo62bobo6boobbo388bo3boo5b3oboobo214booboo7boo91bo3bo6bo$72bo
bo4boo51bo4bobboo3bobbo243boobobbo361bo5bo4bobbobo216boo37bobbo5boo54b
oo400bo6boo6booboo214b4o34boo4bo59b4o7bo$72boo59b3o5bo6bo243boobbo363b
o5bo4bobbobo255bobo4bobbobo454bo6boo6booboo215boo34boobo5boo$134bo7bob
oo614boo3bo4bo4bo261boobbobo19boo434bo3boo5b3oboobo253boboobobbo23boo
29bo$69bobo687bobboo5boobobbo225boo18boo14bobo23boo4b3o20b3o404bo12bo
bbo225boo18boo9boobbo3bo22boo3booboobo17boobo$24bo7boboo34bo689bobo6b
oobbo227boo18boo12b3o30booboo19b3o4b3oboo35bo359bo3bo6bo229boo18boo14b
o30booboobobo15boobo5b3oboo33boo$23b3o5bo6bo56b3o662boo203b3o67bobo30b
oobboo16bo7b3o4bobo30boobo358b4o7bo195boo70bo28b5o3bo16boo3bo4boobboo
31bobo6boobbo$22bo4bobboo3bobbo931bo65bo31booboo23boobo4bobbo30boobo5b
3oboo553bob5o103bo20boo5bo4bo29bobboo5boobobbo$21b3o4bobo5boo32boo20b
oo31bo7boboo828boo3b3o97bo25boobo4bobbo31boo3bo4boobboo552boo4boo93bo
28boo5bo4bo30boo3bo4bo4bo$21b3o4bobo5boo32boo20boo30b3o5bo6bo821boo3b
oobbobo117bo7b3o4bobo35boo5bo4bo546boo3bo99b3obo3bo17boo3bo4boobboo31b
o5bo4bobbobo$22bo4bobboo3bobbo84bo4bobboo3bobbo622bobbo195boo3boobbobo
119b3o4b3oboo38boo5bo4bo546boo3bo99boobboobo17boobo5b3oboo33bo5bo4bobb
obo$23b3o5bo6bo83b3o4bobo5boo622bo203boo3b3o119b3o44boo3bo4boobboo544b
3o5boo4boo94bo22boobo44boo3bo4bo4bo$24bo7boboo86b3o4bobo5boo634booboo
192bo167boobo5b3oboo352b3o191b3o4bob5o121bo44bobboo5boobobbo$46bo7bob
oo65bo4bobboo3bobbo624b3o5bo3b4o175b3o7b3o105bo64boobo363b3o4b3oboo
189boo104boo65bobo6boobbo$45b3o5bo6bo63b3o5bo6bo623bobb3o3bo3b4o169bob
o5bo114bobo5bo59bo362bo7b3o4bobo291bobbo6bo57boo$44bo4bobboo3bobbo8boo
54bo7boboo622bo3bo3bobobboo176boo4bo114boobo3bobbobbo424boobo4bobbo
294bo6boob3o$43b3o4bobo5boo9bobo6boobbo9bo666bo3bo3bobobboo176bo122bo
3bo3boboboo422boobo4bobbo291b3obboo7b3o$43b3o4bobo5boo8bobboo5boobobbo
8bo669bobb3o3bo3b4o145bobbo147bo7booboo414bo7b3o4bobo171bobo124bo4boo
3bo$44bo4bobboo3bobbo8boo3bo4bo4bo6b3o13bobbo653b3o5bo3b4o144bo151bo7b
ooboo416b3o4b3oboo175boo124bo4boo3bo$45b3o5bo6bo8bo5bo4bobbobo20bo666b
ooboo158booboo132bo3bo3boboboo418b3o160b3o22bo118b3obboo7b3o$46bo7bob
oo11bo5bo4bobbobo32booboo638bo21boo142b3o5bo3b4o128boobo3bobbobbo583b
3o4b3oboo134bo6boob3o$69boo3bo4bo4bo24b3o5bo3b4o637bobbo16b4o140bobb3o
3bo3b4o129bobo5bo585bo7b3o4bobo128bobbo6bo$68bobboo5boobobbo23bobb3o3b
o3b4o656booboo7boo127bo3bo3bobobboo136bo452bo7boboo134boobo4bobbo129b
oo$69bobo6boobbo21bo3bo3bobobboo662boobboo5bob5o123bo3bo3bobobboo564bo
23b3o5bo6bo131boobo4bobbo$69boo33bo3bo3bobobboo610bo50b3o10boo4boo125b
obb3o3bo3b4o557b3ob3o17bo4bobboo3bobbo125bo7b3o4bobo$108bobb3o3bo3b4o
605bo29boo18b3o4b3o3bo70bo62b3o5bo3b4o557bobboboo16b3o4bobo5boo64boo
42bo19b3o4b3oboo28bo$109b3o5bo3b4o604bo32boo16b3o4b3o3bo69bobo5bo64boo
boo26b3o534bobbo15b3o4bobo5boo63bobbo6bo34boo18b3o36boobo$118booboo
600bo3bo29bo5bo16b3o10boo4boo61boobo3bobbobbo48bo42b3o4b3oboo491boo28b
obbobbo16bo4bobboo3bobbo65bo6boob3o28bobo57boobo5b3oboo$106bo606boo7bo
5bo3bobo25bobbo17boobboo5bob5o65bo3bo3boboboo27bo19bobbo36bo7b3o4bobo
470boo15bobbo27b4oboo17b3o5bo6bo62b3obboo7b3o88boo3bo4boobboo$107bobbo
602boo13bobbo23bo5boo18booboo7boo72bo7booboo25boo64boobo4bobbo18bo451b
oo8b3o3boboo22boo4b3o22bo7boboo72bo4boo3bo91boo5bo4bo$721bobbo6bo3bo
19boo25b4o81bo7booboo24bobo64boobo4bobbo19bo93bo375boo21boo113bo4boo3b
o91boo5bo4bo$210boboo517bo3bo47boo79bo3bo3boboboo69boo16bo7b3o4bobo17b
3o92bo367boobb3obobo129b3obboo7b3o67boo19boo3bo4boobboo$110boo97bo6bo
254boo223bo28boo5bobbo54bo71boobo3bobbobbo71boo18b3o4b3oboo115b3o338b
oo26bobboo3bo57boo74bo6boob3o44bo23boo18boobo5b3oboo22bo$109bobbo95boo
3bobbo254bobo6boobbo209boobo25bobbo7bo54bobo5bo65bobo5bo95b3o466bobo6b
oobbo15boo62bobbo6bo63bobbo6bo48b3o42boobo34bo87bo$109bobbo92boobo5boo
254bobboo5boobobbo207boobo5b3oboo14b3o41bo8boo10boobo3bobbobbo62bo58b
oo510bobboo5boobobbo12b3o49boo14bo6boob3o59boo55b5o43bo33b3o86bo$110b
oo93boobo5boo234bo20boo3bo4bo4bo208boo3bo4boobboo57boo6boo12bo3bo3bobo
boo47bobo68bobo511boo3bo4bo4bo12boo50boo11b3obboo7b3o114boo3boo34bobbo
127b3o$208boo3bobbo231boobo19bo5bo4bobbobo211boo5bo4bo55boo24bo7booboo
46boo68boobbo33b4o7bo464bo5bo4bobbobo8boobboo69bo4boo3bo112b3o3b3o32bo
$209bo6bo231boobo5b3oboo8bo5bo4bobbobo211boo5bo4bo81bo7booboo46bo31boo
38bo35bo3bo6bo35bobbo425bo5bo4bobbobo8b3oboo43bo25bo4boo3bo77boo39boo
45booboo$210boboo235boo3bo4boobboo6boo3bo4bo4bo208boo3bo4boobboo79bo3b
o3boboboo80boo40bo32bo12bobbo30bo429boo3bo4bo4bo11b3o45boo16b3obboo7b
3o48bobo27boo39bo37b3o5bo3b4o$453boo5bo4bo4bobboo5boobobbo207boobo5b3o
boo79boobo3bobbobbo157bo3boo5b3oboobo40booboo412bobboo5boobobbo39bo18b
oo20bo6boob3o50boo105bobb3o3bo3b4o31b3o$453boo5bo4bo5bobo6boobbo209boo
bo52bo7boboo27bobo5bo122boo37bo6boo6booboo30b3o5bo3b4o411bobo6boobbo
40bobo5bo30bobbo6bo55bo64boo36bo3bo3bobobboo37b3o4b3oboo$449boo3bo4boo
bboo6boo37boo184bo52b3o5bo6bo25bo129boo37bo6boo6booboo29bobb3o3bo3b4o
411boo51boobo3bobbobbo27boo166bo3bo3bobobboo35bo7b3o4bobo$428boo18boob
o5b3oboo47bobo6boobbo224bo4bobboo3bobbo194bo3boo5b3oboobo26bo3bo3bobo
bboo472bo3bo3boboboo197bobb3o3bo3b4o35boobo4bobbo$427b4o17boobo57bobb
oo5boobobbo221b3o4bobo5boo195bo12bobbo28bo3bo3bobobboo475bo7booboo196b
3o5bo3b4o35boobo4bobbo$426booboo7boo10bo59boo3bo4bo4bo221b3o4bobo5boo
196bo3bo6bo36bobb3o3bo3b4o469bo7booboo205booboo31bo7b3o4bobo$426boobb
oo5bob5o66bo5bo4bobbobo221bo4bobboo3bobbo176boo17b4o7bo37b3o5bo3b4o
466bo3bo3boboboo195bo49b3o4b3oboo$425b3o10boo4boo64bo5bo4bobbobo222b3o
5bo6bo175b4o74booboo466boobo3bobbobbo198bobbo45b3o$425b3o4b3o3bo71boo
3bo4bo4bo224bo7boboo177booboo7boo53bo483bobo5bo185bo7boboo$425b3o4b3o
3bo70bobboo5boobobbo413boobboo5bob5o50bobbo480bo191b3o5bo6bo$425b3o10b
oo4boo64bobo6boobbo414b3o10boo4boo723bo4bobboo3bobbo$426boobboo5bob5o
66boo426b3o4b3o3bo729b3o4bobo5boo$426booboo7boo498b3o4b3o3bo729b3o4bob
o5boo$427b4o507b3o10boo4boo723bo4bobboo3bobbo$428boo75b3o431boobboo5bo
b5o726b3o5bo6bo$505b3o4b3oboo421booboo7boo731bo7boboo$503bo7b3o4bobo
419b4o$509boobo4bobbo420boo$509boobo4bobbo$503bo7b3o4bobo$505b3o4b3ob
oo$505b3o4$443boo$443bobo6boobbo1047b3o$442bobboo5boobobbo1047bo$443b
oo3bo4bo4bo1046bo$443bo5bo4bobbobo287bo13b3o$443bo5bo4bobbobo288bo14bo
$443boo3bo4bo4bo16boo269b3o13bo$442bobboo5boobobbo15b4o1012bo$443bobo
6boobbo16booboo7boo1004bo$443boo28boobboo5bob5o998b3o$472b3o10boo4boo$
472b3o4b3o3bo$472b3o4b3o3bo$472b3o10boo4boo$309boo162boobboo5bob5o$
309bobo6boobbo150booboo7boo$308bobboo5boobobbo149b4o464bo83bo$288bo20b
oo3bo4bo4bo150boo465bobo80bo$286boobo19bo5bo4bobbobo616boo81b3o$286boo
bo5b3oboo8bo5bo4bobbobo1353bo83bo$287boo3bo4boobboo6boo3bo4bo4bo472bo
881bobo80bo$291boo5bo4bo4bobboo5boobobbo473boo81bobo795boo81b3o$291boo
5bo4bo5bobo6boobbo474boo83boo$287boo3bo4boobboo6boo37boo532bo657bo$
266boo18boobo5b3oboo47bobo6boobbo1179boo81bobo$265b4o17boobo57bobboo5b
oobobbo1176boo83boo$264booboo7boo10bo59boo3bo4bo4bo1261bo$264boobboo5b
ob5o66bo5bo4bobbobo$263b3o10boo4boo64bo5bo4bobbobo$263b3o4b3o3bo71boo
3bo4bo4bo$263b3o4b3o3bo70bobboo5boobobbo$263b3o10boo4boo64bobo6boobbo$
264boobboo5bob5o66boo$264booboo7boo$265b4o$266boo75b3o$343b3o4b3oboo$
341bo7b3o4bobo$347boobo4bobbo429bo$347boobo4bobbo152bo7boboo265bo87b3o
82boo566booboo84boo82boboo$341bo7b3o4bobo151b3o5bo6bo263bobbo88bo78bob
5o561bo3b4o81bob5o77bo6bo$343b3o4b3oboo153bo4bobboo3bobbo261b3oboobo
81boo3b3o77boo4boo559bo3b4o82boo4boo74boo3bobbo$343b3o162b3o4bobo5boo
258boo6booboo76boo3boobbobo72boo3bo562boobboo83boo3bo78boobo5boo$508b
3o4bobo5boo258boo6booboo76boo3boobbobo72boo3bo562boobboo83boo3bo78boob
o5boo$509bo4bobboo3bobbo261b3oboobo81boo3b3o77boo4boo559bo3b4o82boo4b
oo74boo3bobbo$466bo7boboo32b3o5bo6bo263bobbo88bo78bob5o561bo3b4o81bob
5o77bo6bo$281boo182b3o5bo6bo30bo7boboo265bo87b3o82boo566booboo84boo82b
oboo$281bobo6boobbo169bo4bobboo3bobbo307bo$280bobboo5boobobbo166b3o4bo
bo5boo$281boo3bo4bo4bo166b3o4bobo5boo$281bo5bo4bobbobo166bo4bobboo3bo
bbo$128bo7boboo141bo5bo4bobbobo167b3o5bo6bo993b3o14bo$104boo21b3o5bo6b
o138boo3bo4bo4bo169bo7boboo37bo7boboo223bo7boboo714bo13bobo5bo$103b4o
19bo4bobboo3bobbo137bobboo5boobobbo149boo66b3o5bo6bo219b3o5bo6bo710bo
13boobo3bobbobbo$102booboo7boo9b3o4bobo5boo139bobo6boobbo151bobo6boobb
o53bo4bobboo3bobbo201b3o14bo4bobboo3bobbo12bo713bo3bo3boboboo$102boobb
oo5bob5obo3b3o4bobo5boo139boo162bobboo5boobobbo50b3o4bobo5boo204bo13b
3o4bobo5boo14bo715bo7booboo$101b3o10boo4bo5bo4bobboo3bobbo303boo3bo4bo
4bo50b3o4bobo5boo203bo14b3o4bobo5boo12b3o715bo7booboo$101b3o4b3o3bo12b
3o5bo6bo303bo5bo4bobbobo50bo4bobboo3bobbo218bo4bobboo3bobbo726bo3bo3bo
boboo15bo$101b3o4b3o3bo13bo7boboo306bo5bo4bobbobo51b3o5bo6bo156bo62b3o
5bo6bo25bo635boo61boobo3bobbobbo18bo8boo$101b3o10boo4boo324boo3bo4bo4b
o53bo7boboo157boobo62bo7boboo27bobo5bo628bobo6boobbo50bobo5bo20b3o7bo
bbo6bo$102boobboo5bob5o47bo7boboo266bobboo5boobobbo222boobo5b3oboo89b
oobo3bobbobbo623bobboo5boobobbo49bo40bo6boob3o54boo82b3o$85bo16booboo
7boo50b3o5bo6bo264bobo6boobbo225boo3bo4boobboo89bo3bo3boboboo622boo3bo
4bo4bo87b3obboo7b3o52bobo84bo$83boobo16b4o58bo4bobboo3bobbo264boo241b
oo5bo4bo40boo49bo7booboo620bo5bo4bobbobo42b3o48bo4boo3bo53bo83bo$83boo
bo5b3oboo6boo58b3o4bobo5boo508boo5bo4bo40bobo48bo7booboo50boo82b3o483b
o5bo4bobbobo40booboo48bo4boo3bo$84boo3bo4boobboo64b3o4bobo5boo504boo3b
o4boobboo42boo21boo22bo3bo3boboboo51bobo84bo483boo3bo4bo4bo40bo3bobo
17boo21b3obboo7b3o$88boo5bo4bo64bo4bobboo3bobbo502boobo5b3oboo43boo22b
oo20boobo3bobbobbo55bo83bo483bobboo5boobobbo39bo3bobboo16boo24bo6boob
3o$88boo5bo4bo65b3o5bo6bo248b4o7bo242boobo54b4o43bobo5bo74bo83bo469bob
o6boobbo41boobo3boo39bobbo6bo265boo$84boo3bo4boobboo67bo7boboo251bo3bo
6bo67boo175bo55bobboo43bo81bobo80bo470boo53bobboo3boo39boo270boobbo$
83boobo5b3oboo331bo12bobbo62b4o227boobbo3bo35boo87boo81b3o525bo4b3o
311boobbo$83boobo342bo3boo5b3oboobo59booboo7boo218b3obobobo34b4o701bob
o119bo83bo113bo$85bo74boo267bo6boo6booboo58boobboo5bob5o178boo35boo5bo
33booboo7boo32bo615boo43bo37bo7boboo71bobo80bo109bob4o$159booboo5b3o
257bo6boo6booboo57b3o10boo4boo176boo36bo4bo34boobboo5bob5o29boo81bobo
529boo80b3o5bo6bo68boo81b3o106boobo$159bobboo10bo254bo3boo5b3oboobo58b
3o4b3o3bo222bo37b3o10boo4boo26boo83boo610bo4bobboo3bobbo264b3o$159b4o
6boo3b3o252bo12bobbo60b3o4b3o3bo260b3o4b3o3bo118bo610b3o4bobo5boo30bo
235bo$159boo4boo3boobbobo236bo16bo3bo6bo64b3o10boo4boo253b3o4b3o3bo
729b3o4bobo5boo31boo81bobo149boo$159boo4boo3boobbobo235bobo5bo9b4o7bo
65boobboo5bob5o255b3o10boo4boo723bo4bobboo3bobbo29boo83boo151bo$159b4o
6boo3b3o234boobo3bobbobbo82booboo7boo260boobboo5bob5o726b3o5bo6bo114bo
151bo$159bobboo10bo238bo3bo3boboboo81b4o269booboo7boo731bo7boboo269bo$
159booboo5b3o244bo7booboo80boo251bobbo16b4o1017b3o$160boo254bo7booboo
85boobbo242bo21boo$413bo3bo3boboboo87boobobbo252booboo727b3o295b3o$
411boobo3bobbobbo85bo4bo4bo243b3o5bo3b4o725b3o4b3oboo289bo$412bobo5bo
90bo4bobbobo241bobb3o3bo3b4o723bo7b3o4bobo286bo$100bo7boboo301bo97bo4b
obbobo237bo3bo3bobobboo735boobo4bobbo287bo$99b3o5bo6bo395bo4bo4bo238bo
3bo3bobobboo735boobo4bobbo285boo$98bo4bobboo3bobbo399boobobbo242bobb3o
3bo3b4o723bo7b3o4bobo285bo$97b3o4bobo5boo400boobbo245b3o5bo3b4o725b3o
4b3oboo287b3o$97b3o4bobo5boo659booboo727b3o293boobo$98bo4bobboo3bobbo
646bo1040bob4o$99b3o5bo6bo647bobbo1041bo$100bo7boboo1690boobbo$1802boo
bbo7bo$1805boo5bobbo$$1811bo3boo$615bo1196b5o$613bo3bo1195bo$618bo
1193b6o$606bobbo3bo4bo1193bo3bo$610bo3b5o1193bo3bo$606bo3bo1205bo$607b
4o1203boboo$1814bobbo$1813b5o$1813boobo$1814boo$$1814boo$1813boobo$
1813b5o$1476boo336bobbo$735boo738b4o335boboo$443boo289booboo5b3o727boo
boo7boo61boo82b3o180bo$442booboo5b3o279bobboo10bo724boobboo5bob5o56bob
o84bo176bo3bo$442bobboo10bo276b4o6boo3b3o721b3o10boo4boo56bo83bo177bo
3bo$442b4o6boo3b3o274boo4boo3boobbobo54boo82b3o580b3o4b3o3bo325b6o$
442boo4boo3boobbobo274boo4boo3boobbobo53bobo84bo580b3o4b3o3bo80bo82boo
161bo$442boo4boo3boobbobo274b4o6boo3b3o55bo83bo581b3o10boo4boo72boo81b
oo161b5o$442b4o6boo3b3o274bobboo10bo724boobboo5bob5o74bobo82bo159bo3b
oo$442bobboo10bo276booboo5b3o83bo82boo559booboo7boo$442booboo5b3o280b
oo92boo81boo561b4o333bobbo$443boo310boo72bobo82bo561boo17b4o7bo307bo$
755bobo6boobbo726bo3bo6bo$754bobboo5boobobbo723bo12bobbo$506bo248boo3b
o4bo4bo723bo3boo5b3oboobo192boo$505bobo5bo241bo5bo4bobbobo722bo6boo6b
ooboo192boo$504boobo3bobbobbo237bo5bo4bobbobo722bo6boo6booboo191bo$
506bo3bo3boboboo235boo3bo4bo4bo191boo478boo50bo3boo5b3oboobo$509bo7boo
boo148boo82bobboo5boobobbo192boo445boo29b3o50bo12bobbo235boo$509bo7boo
boo148boo32boo49bobo6boobbo193bo447boo27bo4bo50bo3bo6bo239bobo$506bo3b
o3boboboo182bobbo49boo681bo5boo49b4o7bo239bo$504boobo3bobbobbo183bo4bo
52bobbo246boo426bobobboboo$427bobbo74bobo5bo187bo3bo45bo6bo233bo16bobo
387bo37bo3bobbo40boo3boo$426bo79bo151bo7boboo31bo3bo44bo19booboo215bob
o16bo388bobo5bo31boobo3boo37bobo3b4o8b3o$438booboo214b3o5bo6bo29bobo
28boo15bo10b3o5bo3b4o214boo404boobo3bobbobbo28boo32boo9bo3bobbobbo7b3o
4b3oboo$429b3o5bo3b4o65boo144bo4bobboo3bobbo30bo6bo22boo15boo8bobb3o3b
o3b4o622bo3bo3boboboo60boo9boo3bo4bo5bo7b3o4bobo217bo$428bobb3o3bo3b4o
64booboo5b3o133b3o4bobo5boo80bo3bo3bo3bobobboo631bo7booboo26boo46bo3bo
12boobo4bobbo215bobo$77boo345bo3bo3bobobboo70bobboo10bo130b3o4bobo5boo
38bo45bo3bo3bobobboo631bo7booboo26boo45bo17boobo4bobbo216boo$77bobo6b
oobbo333bo3bo3bobobboo70b4o6boo3b3o129bo4bobboo3bobbo87bobb3o3bo3b4o
622bo3bo3boboboo47bobbo36bo7b3o4bobo$76bobboo5boobobbo335bobb3o3bo3b4o
64boo4boo3boobbobo130b3o5bo6bo46b4o7bo30b3o5bo3b4o620boobo3bobbobbo48b
o42b3o4b3oboo$77boo3bo4bo4bo336b3o5bo3b4o64boo4boo3boobbobo131bo7boboo
49bo3bo6bo39booboo623bobo5bo64booboo26b3o$77bo5bo4bobbobo344booboo6boo
58b4o6boo3b3o191bo12bobbo23bo640bo62b3o5bo3b4o$77bo5bo4bobbobo332bo21b
obbo6bo50bobboo10bo193bo3boo5b3oboobo22bobbo698bobb3o3bo3b4o$77boo3bo
4bo4bo334bobbo20bo6boob3o45booboo5b3o196bo6boo6booboo719bo3bo3bobobboo
$76bobboo5boobobbo355b3obboo7b3o6boo37boo206bo6boo6booboo96bobo82bo
537bo3bo3bobobboo$77bobo6boobbo364bo4boo3bo4booboo5b3o235bo3boo5b3oboo
bo98boo83boo539bobb3o3bo3b4o$77boo376bo4boo3bo4bobboo10bo232bo12bobbo
100bo83boo541b3o5bo3b4o$448b3obboo7b3o5b4o6boo3b3o231bo3bo6bo740booboo
101bobo82bo$451bo6boob3o6boo4boo3boobbobo231b4o7bo728bo118boo83boo$
448bobbo6bo11boo4boo3boobbobo972bobbo114bo83boo$139b3o307boo19b4o6boo
3b3o$139b3o4b3oboo318bobboo10bo$137bo7b3o4bobo315booboo5b3o366booboo$
143boobo4bobbo316boo286bo88bo3b4o644b3o85b3oboo$143boobo4bobbo604boob
3o83bo3b4o649bo81b3o4bobo$137bo7b3o4bobo555bo43boo7b3o78boobboo650boo
3b3o77boobo4bobbo$139b3o4b3oboo559boo43bo4boo3bo77boobboo646boo3boobbo
bo77boobo4bobbo$62boo75b3o568boo44bo4boo3bo81bo3b4o640boo3boobbobo79b
3o4bobo$61b4o689boo7b3o82bo3b4o597bo46boo3b3o80b3oboo$60booboo7boo685b
oob3o84booboo600boo49bo$60boobboo5bob5o66boo613bo257boboo432boo45b3o
254bo$59b3o10boo4boo64bobo6boobbo858bo6bo731bobbobbo$59b3o4b3o3bo70bo
bboo5boobobbo855boo3bobbo495boo82b3o148bo3boboboo$59b3o4b3o3bo71boo3bo
4bo4bo852boobo5boo495bobo84bo147bo7booboo$59b3o10boo4boo64bo5bo4bobbob
o851boobo5boo497bo83bo148bo7booboo$60boobboo5bob5o66bo5bo4bobbobo615b
oo82b3o152boo3bobbo730bo3boboboo$60booboo7boo10bo59boo3bo4bo4bo615bobo
84bo153bo6bo613bo82boo33bobbobbo$61b4o17boobo57bobboo5boobobbo617bo83b
o155boboo615boo81boo36bo$62boo18boobo5b3oboo47bobo6boobbo1478bobo82bo$
83boo3bo4boobboo6boo37boo754bo82boo$87boo5bo4bo5bobo6boobbo780boo81boo
$87boo5bo4bo4bobboo5boobobbo778bobo82bo$83boo3bo4boobboo6boo3bo4bo4bo$
82boobo5b3oboo8bo5bo4bobbobo821b3oboo736b3oboo$82boobo19bo5bo4bobbobo
820b3o4bobo723boo5bo4boobboo$84bo20boo3bo4bo4bo819boobo4bobbo724boo3b
oo5bo4bo$104bobboo5boobobbo819boobo4bobbo723bo5boo5bo4bo$105bobo6boobb
o813boo8b3o4bobo730bo4boobboo$105boo826boo8b3oboo519boo215b3oboo125boo
$932bo536boo345bobo$1468bo347bo$725boo352boo$726boo351bobo$725bo353bo
8$271bo7boboo$270b3o5bo6bo$269bo4bobboo3bobbo$268b3o4bobo5boo$268b3o4b
obo5boo$269bo4bobboo3bobbo$236b4o7bo22b3o5bo6bo$236bo3bo6bo23bo7boboo$
235bo12bobbo$235bo3boo5b3oboobo$235bo6boo6booboo$235bo6boo6booboo$235b
o3boo5b3oboobo$235bo12bobbo$236bo3bo6bo492bo$236b4o7bo493boo$740boo$
1483bo$300bo1183boo$298boobo1181boo$298boobo5b3oboo$299boo3bo4boobboo
1174boo82b3o$303boo5bo4bo1172bobo84bo$303boo5bo4bo1144bobbo26bo83bo$
299boo3bo4boobboo404b4o7bo15boo82b3o626bo$298boobo5b3oboo406bo3bo6bo
14bobo84bo638booboo231bo82boo$298boobo416bo12bobbo12bo83bo630b3o5bo3b
4o228boo81boo$300bo417bo3boo5b3oboobo724bobb3o3bo3b4o228bobo82bo$224bo
7boboo482bo6boo6booboo232bo82boo402bo3bo3bobobboo$223b3o5bo6bo64b4o7bo
403bo6boo6booboo231boo81boo403bo3bo3bobobboo$222bo4bobboo3bobbo64bo3bo
6bo403bo3boo5b3oboobo22bobbo206bobo82bo406bobb3o3bo3b4o$221b3o4bobo5b
oo64bo12bobbo399bo12bobbo23bo650bo52b3o5bo3b4o$221b3o4bobo5boo64bo3boo
5b3oboobo347bo7boboo39bo3bo6bo39booboo633bobo5bo54booboo26b3o$222bo4bo
bboo3bobbo63bo6boo6booboo345b3o5bo6bo36b4o7bo30b3o5bo3b4o630boobo3bobb
obbo38bo42b3o4b3oboo130boo$223b3o5bo6bo63bo6boo6booboo344bo4bobboo3bo
bbo77bobb3o3bo3b4o632bo3bo3boboboo37bobbo36bo7b3o4bobo128boo$224bo7bob
oo7boo57bo3boo5b3oboobo344b3o4bobo5boo74bo3bo3bobobboo641bo7booboo81b
oobo4bobbo127bo$243bobo6boobbo45bo12bobbo346b3o4bobo5boo74bo3bo3bobobb
oo131boo508bo7booboo81boobo4bobbo$242bobboo5boobobbo44bo3bo6bo351bo4bo
bboo3bobbo60boo15bobb3o3bo3b4o126boo504bo3bo3boboboo15boo43boo15bo7b3o
4bobo368boo$243boo3bo4bo4bo5b4o7bo27b4o7bo239b3o110b3o5bo6bo60boo16b3o
5bo3b4o125bo504boobo3bobbobbo18boo42boo17b3o4b3oboo371bobo$243bo5bo4bo
bbobo4bo3bo6bo283bo108bo7boboo90booboo633bobo5bo21bo63b3o381bo$243bo5b
o4bobbobo3bo12bobbo274boo3b3o133boo61bo390boo258bo$243boo3bo4bo4bo4bo
3boo5b3oboobo268boo3boobbobo134boo23bo37bobbo386bobo$242bobboo5boobobb
o4bo6boo6booboo267boo3boobbobo133bo25b3o31boo392bo311bo33b4o7bo$243bob
o6boobbo6bo6boo6booboo271boo3b3o118boo40b4o29bobo6boobbo651boo37b3o33b
o3bo6bo$243boo18bo3boo5b3oboobo277bo120boo42b3o27bobboo5boobobbo649boo
37boo33bo12bobbo$263bo12bobbo274b3o167boo29boo3bo4bo4bo688bo34bo3boo5b
3oboobo$264bo3bo6bo444bo34bo5bo4bobbobo685bo6bo29bo6boo6booboo$264b4o
7bo445boobo30bo5bo4bobbobo694bo27bo6boo6booboo$453boo267boo31boo3bo4bo
4bo686b3o4bobo27bo3boo5b3oboobo$453bobo6boobbo256bo30bobboo5boobobbo
694bo28bo12bobbo$452bobboo5boobobbo286bobo6boobbo726bo3bo6bo$453boo3bo
4bo4bo286boo719boo17b4o7bo$453bo5bo4bobbobo265boo227bobbo507b4o$414b3o
36bo5bo4bobbobo264booboo5b3o216bo510booboo7boo$414b3o4b3oboo26boo3bo4b
o4bo265bobboo10bo225booboo494boobboo5bob5o215b3o$389boo21bo7b3o4bobo
22bobboo5boobobbo265b4o6boo3b3o214b3o5bo3b4o491b3o10boo4boo213b3o4b3ob
oo$388booboo5b3o17boobo4bobbo23bobo6boobbo267boo4boo3boobbobo213bobb3o
3bo3b4o491b3o4b3o3bo218bo7b3o4bobo$388bobboo10bo14boobo4bobbo23boo279b
oo4boo3boobbobo209bo3bo3bobobboo497b3o4b3o3bo224boobo4bobbo$388b4o6boo
3b3o6bo7b3o4bobo304b4o6boo3b3o209bo3bo3bobobboo497b3o10boo4boo217boobo
4bobbo$388boo4boo3boobbobo8b3o4b3oboo307bobboo10bo215bobb3o3bo3b4o492b
oobboo5bob5o213bo7b3o4bobo$388boo4boo3boobbobo8b3o51boo264booboo5b3o
219b3o5bo3b4o492booboo7boo219b3o4b3oboo$388b4o6boo3b3o61booboo5b3o255b
oo238booboo495b4o228b3o65bo$388bobboo10bo63bobboo10bo480bo21boo47bo7bo
boo430boo296bobo5bo$188boobbo174boo19booboo5b3o66b4o6boo3b3o479bobbo
16b4o45b3o5bo6bo724boobo3bobbobbo$188boobobbo171booboo5b3o10boo76boo4b
oo3boobbobo498booboo7boo35bo4bobboo3bobbo679bo7boboo35bo3bo3boboboo$
184bo4bo4bo171bobboo10bo85boo4boo3boobbobo462bo6bo28boobboo5bob5o30b3o
4bobo5boo679b3o5bo6bo35bo7booboo$185bo4bobbobo170b4o6boo3b3o83b4o6boo
3b3o248bo213bo7bo26b3o10boo4boo28b3o4bobo5boo425boo251bo4bobboo3bobbo
35bo7booboo$185bo4bobbobo170boo4boo3boobbobo83bobboo10bo249bobo5bo205b
o35b3o4b3o3bo36bo4bobboo3bobbo423bobbo6bo202boo38b3o4bobo5boo33bo3bo3b
oboboo$184bo4bo4bo171boo4boo3boobbobo83booboo5b3o251boobo3bobbobbo237b
3o4b3o3bo37b3o5bo6bo426bo6boob3o197boo38b3o4bobo5boo31boobo3bobbobbo$
188boobobbo171b4o6boo3b3o84boo263bo3bo3boboboo200b3o32b3o10boo4boo31bo
7boboo426b3obboo7b3o237bo4bobboo3bobbo31bobo5bo$188boobbo173bobboo10bo
354bo7booboo160boo36bobbo32boobboo5bob5o478bo4boo3bo159boo76b3o5bo6bo
32bo$366booboo5b3o357bo7booboo139boo19boo37bobo32booboo7boo482bo4boo3b
o53b3o103boo77bo7boboo$367boo108boo254bo3bo3boboboo203bo33b4o484b3obb
oo7b3o56bo141boo$87boo387booboo5b3o242boobo3bobbobbo240boo488bo6boob3o
56bo142boboo$86bobbo6bo379bobboo10bo240bobo5bo59b3o85bo103bo479bobbo6b
o145boo58boo42boo$89bo6boob3o374b4o6boo3b3o239bo68bo83boobo38bo62bobo
5bo473boo153bobo6boobbo47bo41bobbo6bo118boo$86b3obboo7b3o373boo4boo3b
oobbobo307bo84boobo5b3oboo28bo42boo16boobo3bobbobbo490bo132bobboo5boob
obbo68boo20bo6boob3o19boo91boo$93bo4boo3bo372boo4boo3boobbobo258b3o
132boo3bo4boobboo24b3o42boo18bo3bo3boboboo486boobo132boo3bo4bo4bo68boo
17b3obboo7b3o19boo92bo$49bo7boboo32bo4boo3bo372b4o6boo3b3o258b3o4b3ob
oo126boo5bo4bo91bo7booboo115boo367boobo5b3oboo121bo5bo4bobbobo26bo66bo
4boo3bo17bo$48b3o5bo6bo22b3obboo7b3o373bobboo10bo258bo7b3o4bobo123boo
5bo4bo91bo7booboo15boo97boo369boo3bo4boobboo119bo5bo4bobbobo27bo65bo4b
oo3bo$23boo22bo4bobboo3bobbo25bo6boob3o374booboo5b3o267boobo4bobbo119b
oo3bo4boobboo89bo3bo3boboboo18boo98bo372boo5bo4bo118boo3bo4bo4bo26b3o
58b3obboo7b3o$23bobo6boobbo9b3o4bobo5boo23bobbo6bo380boo277boobo4bobbo
118boobo5b3oboo89boobo3bobbobbo19bo473boo5bo4bo117bobboo5boobobbo49bo
40bo6boob3o$22bobboo5boobobbo7b3o4bobo5boo24boo661bo7b3o4bobo118boobo
62bo7boboo27bobo5bo493boo3bo4boobboo119bobo6boobbo50bobo5bo30bobbo6bo$
23boo3bo4bo4bo8bo4bobboo3bobbo604boo82b3o4b3oboo123bo62b3o5bo6bo25bo
415boo82boobo5b3oboo108boo11boo61boobo3bobbobbo27boo$23bo5bo4bobbobo8b
3o5bo6bo313boo289boo82b3o195bo4bobboo3bobbo126bobbo311boo82boobo120boo
75bo3bo3boboboo$23bo5bo4bobbobo9bo7boboo41boo272bobbo6bo319bo242b3o4bo
bo5boo126bo348b3o50bo120bo80bo7booboo$23boo3bo4bo4bo63bobo6boobbo263bo
6boob3o313bo166boo75b3o4bobo5boo138booboo285boo44boobbo251bo7booboo
127b3o$22bobboo5boobobbo62bobboo5boobobbo258b3obboo7b3o260boo49bo4bo
47boo114boo75bo4bobboo3bobbo128b3o5bo3b4o282b4o42bo3bo45bo7b4o7bo184bo
3bo3boboboo129b3o4b3oboo107boo$boo20bobo6boobbo65boo3bo4bo4bo265bo4boo
3bo93b4o7bo153booboo5b3o38boo4bo47bobo6boobbo101bo78b3o5bo6bo127bobb3o
3bo3b4o281booboo7boo34b3o45bobo6bo3bo6bo182boobo3bobbobbo129bo7b3o4bob
o104bobo$bobo6boobbo8boo77bo5bo4bobbobo264bo4boo3bo93bo3bo6bo153bobboo
10bo36boobboo21boo15b3o5bobboo5boobobbo179bo7boboo126bo3bo3bobobboo
287boobboo5bob5o31bo29boo15bobbo4bo12bobbo179bobo5bo139boobo4bobbo104b
o$obboo5boobobbo85bo5bo4bobbobo257b3obboo7b3o93bo12bobbo149b4o6boo3b3o
35bobo23boo15b3o6boo3bo4bo4bo317bo3bo3bobobboo114boo170b3o10boo4boo35b
o23boo16b4o3bo3boo5b3oboobo178bo146boobo4bobbo$boo3bo4bo4bo85boo3bo4bo
4bo261bo6boob3o94bo3boo5b3oboobo147boo4boo3boobbobo77bobbo6bo5bo4bobbo
bo204bo115bobb3o3bo3b4o108bobo169b3o4b3o3bo42b3o40b3o3bo6boo6booboo
318bo7b3o4bobo$bo5bo4bobbobo19boo20boo40bobboo5boobobbo258bobbo6bo99bo
6boo6booboo146boo4boo3boobbobo78bo8bo5bo4bobbobo205boo114b3o5bo3b4o
108bo171b3o4b3o3bo44bo46bo6boo6booboo199b3o118b3o4b3oboo$bo5bo4bobbobo
19boo20boo41bobo6boobbo261boo17boobbo85bo6boo6booboo146b4o6boo3b3o87b
oo3bo4bo4bo205boo124booboo282b3o10boo4boo84bo3boo5b3oboobo202bo118b3o
65bo$boo3bo4bo4bo46bo38boo292boobobbo83bo3boo5b3oboobo147bobboo10bo50b
o37bobboo5boobobbo217bo101bo21boo47bo7boboo217boobboo5bob5o48boo36bo
12bobbo203bo4bo181bobo5bo$obboo5boobobbo46bo328bo4bo4bo83bo12bobbo149b
ooboo5b3o51boobo37bobo6boobbo201b3o15bo102bobbo16b4o45b3o5bo6bo214boob
oo7boo52bobo6boobbo25bo3bo6bo213boo7booboo166boobo3bobbobbo$bobo6boobb
o48bo329bo4bobbobo83bo3bo6bo154boo61boobo5b3oboo26boo215bo16bobbo117b
ooboo7boo35bo4bobboo3bobbo215b4o60bobboo5boobobbo23b4o7bo212boo7bo3b4o
119bo7boboo35bo3bo3boboboo$boo108boo280bo4bobbobo83b4o7bo218boo3bo4boo
bboo240bo15b3oboobo115boobboo5bob5o30b3o4bobo5boo217boo62boo3bo4bo4bo
256bo3b4o118b3o5bo6bo35bo7booboo$111bobo6boobbo248b3o16bo4bo4bo318boo
5bo4bo251boo6booboo113b3o10boo4boo28b3o4bobo5boo281bo5bo4bobbobo251boo
bboo123bo4bobboo3bobbo35bo7booboo$110bobboo5boobobbo246b3o4b3oboo10boo
bobbo318boo5bo4bo251boo6booboo63bo49b3o4b3o3bo36bo4bobboo3bobbo280bo5b
o4bobbobo251boobboo101bobo18b3o4bobo5boo33bo3bo3boboboo$46boo63boo3bo
4bo4bo244bo7b3o4bobo7boobbo316boo3bo4boobboo256b3oboobo65bo48b3o4b3o3b
o37b3o5bo6bo280boo3bo4bo4bo256bo3b4o63bo31bobbo17b3o4bobo5boo31boobo3b
obbobbo$46boo63bo5bo4bobbobo249boobo4bobbo327boobo5b3oboo260bobbo65bob
o48b3o10boo4boo31bo7boboo282bobboo5boobobbo256bo3b4o61boo32bobbo18bo4b
obboo3bobbo31bobo5bo$111bo5bo4bobbobo249boobo4bobbo104b4o7bo211boobo
270bo34boo18boo12bobbo30boo17boobboo5bob5o328bobo6boobbo259booboo29boo
18boo12boo32boboo19b3o5bo6bo32bo$111boo3bo4bo4bo244bo7b3o4bobo104bo3bo
6bo213bo271bo34boo18boo12b3o29boobo17booboo7boo332boo305boo18boo15bobo
22boo4boo22bo7boboo$110bobboo5boobobbo246b3o4b3oboo106bo12bobbo550bobo
29bo21b4o685bo4bo19boo$35boo74bobo6boobbo248b3o116bo3boo5b3oboobo543b
3obob3obo26bobo20boo681boo3bobobobo$35boo74boo379bo6boo6booboo505bo36b
obbooboob3o26boobbobo22bo635boo37b3o6boobo52boo$492bo6boo6booboo192bob
o308boobo36b3o3bo3bo31boo21bobo5bo628bobo6boobbo24bobbo61bobbo6bo$492b
o3boo5b3oboobo194boo49boboo255boobo5b3oboo26bo5boo24boo7bo10boo9boobo
3bobbobbo363bo259bobboo5boobobbo22bobo50boo13bo6boob3o$12bo479bo12bobb
o196bo49bo6bo253boo3bo4boobboo56boo18boo11bo3bo3boboboo359bobbobbo256b
oo3bo4bo4bo22b3o41bobo6boo10b3obboo7b3o$10boobo479bo3bo6bo249boo3bobbo
257boo5bo4bo91bo7booboo310bobo43bo3boboboo254bo5bo4bobbobo66boo25bo4b
oo3bo$10boobo5b3oboo468b4o7bo246boobo5boo258boo5bo4bo91bo7booboo311boo
42bo7booboo252bo5bo4bobbobo66bo26bo4boo3bo$11boo3bo4boobboo724boobo5b
oo254boo3bo4boobboo89bo3bo3boboboo313bo43bo7booboo252boo3bo4bo4bo87b3o
bboo7b3o$15boo5bo4bo94boo248bobbo123boo253boo3bobbo252boobo5b3oboo89b
oobo3bobbobbo360bo3boboboo253bobboo5boobobbo49bo40bo6boob3o$15boo5bo4b
o93booboo5b3o237bo126booboo5b3o244bo6bo252boobo62bo7boboo27bobo5bo365b
obbobbo256bobo6boobbo50bobo5bo30bobbo6bo$11boo3bo4boobboo94bobboo10bo
246booboo110bobboo10bo242boboo257bo62b3o5bo6bo25bo374bo260boo61boobo3b
obbobbo27boo$10boobo5b3oboo96b4o6boo3b3o235b3o5bo3b4o108b4o6boo3b3o
563bo4bobboo3bobbo726bo3bo3boboboo$10boobo107boo4boo3boobbobo234bobb3o
3bo3b4o108boo4boo3boobbobo562b3o4bobo5boo730bo7booboo$12bo17bo90boo4b
oo3boobbobo230bo3bo3bobobboo114boo4boo3boobbobo562b3o4bobo5boo730bo7b
ooboo124boo$30boob3o37b3o45b4o6boo3b3o230bo3bo3bobobboo114b4o6boo3b3o
563bo4bobboo3bobbo125boo599bo3bo3boboboo125b4o$25boo7b3o84bobboo10bo
236bobb3o3bo3b4o108bobboo10bo566b3o5bo6bo124booboo5b3o587boobo3bobbobb
o126booboo7boo$27bo4boo3bo83booboo5b3o240b3o5bo3b4o4boo102booboo5b3o
570bo7boboo127bobboo10bo277b3o305bobo5bo130boobboo5bob5o$27bo4boo3bo
84boo225bo33booboo5bobbo6bo95boo719b4o6boo3b3o277bo306bo136b3o10boo4b
oo$8bo7boboo5boo7b3o312bo21bo24bo6boob3o811boo4boo3boobbobo276bo444b3o
4b3o3bo$7b3o5bo6bo7boob3o314bobbo18bobbo17b3obboo7b3o360b3o447boo4boo
3boobbobo721b3o4b3o3bo$6bo4bobboo3bobbo7bo317b3oboobo44bo4boo3bo361bo
185bo261b4o6boo3b3o647bo73b3o10boo4boo$5b3o4bobo5boo322boo6booboo43bo
4boo3bo360bo187bo159bo100bobboo10bo500boo147boo73boobboo5bob5o50bobbo$
5b3o4bobo5boo106boo214boo6booboo36b3obboo7b3o6b3o538b3o159bo100booboo
5b3o54b4o7bo438boo121booboo19bobo73booboo7boo53bo$6bo4bobboo3bobbo104b
ooboo5b3o208b3oboobo40bo6boob3o7b3o4b3oboo691bobbo18bo78boo64bo3bo6bo
402bo34bo122bo3b4o94b4o74booboo$7b3o5bo6bo104bobboo10bo207bobbo39bobbo
6bo10bo7b3o4bobo561boo123b3oboobo16boo97boo43bo12bobbo399bo156bo3b4o
95boo17b4o7bo37b3o5bo3b4o$8bo7boboo107b4o6boo3b3o204bo44boo24boobo4bo
bbo562boo118boo6booboo14bobo97bobo6boobbo31bo3boo5b3oboobo395b3o152boo
bboo120bo3bo6bo36bobb3o3bo3b4o$127boo4boo3boobbobo204bo70boobo4bobbo
561bo120boo6booboo113bobboo5boobobbo29bo6boo6booboo549boobboo119bo12bo
bbo28bo3bo3bobobboo$127boo4boo3boobbobo269bo7b3o4bobo22boo662b3oboobo
115boo3bo4bo4bo29bo6boo6booboo553bo3b4o113bo3boo5b3oboobo26bo3bo3bobo
bboo$127b4o6boo3b3o102boo167b3o4b3oboo24booboo5b3o654bobbo75boo40bo5bo
4bobbobo28bo3boo5b3oboobo280boo272bo3b4o113bo6boo6booboo29bobb3o3bo3b
4o$87boo38bobboo10bo103booboo5b3o157b3o34bobboo10bo650bo79boo40bo5bo4b
obbobo28bo12bobbo283boo272booboo115bo6boo6booboo30b3o5bo3b4o$77boo8boo
38booboo5b3o106bobboo10bo191b4o6boo3b3o648bo121boo3bo4bo4bo30bo3bo6bo
286bo357boo35bo3boo5b3oboobo40booboo$77boo49boo116b4o6boo3b3o189boo4b
oo3boobbobo371boo319boo37bo37bobboo5boobobbo30b4o7bo164bo439boo38boob
oo32bo12bobbo30bo$209bo36boo4boo3boobbobo189boo4boo3boobbobo372boo318b
oo35booboo36bobo6boobbo208boo438boo37bo3boo33bo3bo6bo35bobbo$7boo54bo
69boo73bobo5bo29boo4boo3boobbobo189b4o6boo3b3o9bo361bo357booboo36boo
219bobo477boo3bo33b4o7bo31b3o$6b4o54bo68bobo6boobbo60boobo3bobbobbo25b
4o6boo3b3o189bobboo10bo11boo238bo479boobbo40bobbo692boobbo80bo$5booboo
7boo43b3o67bobboo5boobobbo33b4o7bo15bo3bo3boboboo23bobboo10bo191booboo
5b3o13bobo238boo355bo124boo40bo640bo55b5o79bo$5boobboo5bob5o110boo3bo
4bo4bo33bo3bo6bo18bo7booboo21booboo5b3o195boo263bobo353bobo66bo7boboo
100booboo20b3o550boo48bobo5bo48bo46b3o$4b3o10boo4boo51boo55bo5bo4bobbo
bo31bo12bobbo14bo7booboo22boo827boo65b3o5bo6bo67boo19b3o5bo3b4o20bo
401b3o145bobo47boobo3bobbobbo45bo23boo20b3o4b3oboo$4b3o4b3o3bo58boo55b
o5bo4bobbobo31bo3boo5b3oboobo9bo3bo3boboboo919bo4bobboo3bobbo67boo18bo
bb3o3bo3b4o19bo404bo132bo14bo49bo3bo3boboboo42b3o22boo18bo7b3o4bobo$4b
3o4b3o3bo115boo3bo4bo4bo32bo6boo6booboo6boobo3bobbobbo870boo48b3o4bobo
5boo84bo3bo3bobobboo429bo131bobo67bo7booboo40b3o48boobo4bobbo$4b3o10b
oo4boo107bobboo5boobobbo32bo6boo6booboo7bobo5bo44b4o7bo669b3o145bobo
48b3o4bobo5boo84bo3bo3bobobboo562boo67bo7booboo91boobo4bobbo$5boobboo
5bob5o6bo103bobo6boobbo34bo3boo5b3oboobo9bo51bo3bo6bo671bo147bo49bo4bo
bboo3bobbo26bobo58bobb3o3bo3b4o622bo3bo3boboboo47bobbo36bo7b3o4bobo$5b
ooboo7boo8boobo48boo52boo46bo12bobbo62bo12bobbo666bo199b3o5bo6bo27boo
17b4o7bo30b3o5bo3b4o620boobo3bobbobbo48bo42b3o4b3oboo$6b4o17boobo5b3ob
oo37boo79b4o7bo10bo3bo6bo66bo3boo5b3oboobo865bo7boboo30bo18bo3bo6bo39b
ooboo623bobo5bo64booboo26b3o$7boo19boo3bo4boobboo116bo3bo6bo10b4o7bo
66bo6boo6booboo924bo12bobbo23bo640bo42bobo17b3o5bo3b4o$32boo5bo4bo114b
o12bobbo84bo6boo6booboo924bo3boo5b3oboobo22bobbo680boo16bobb3o3bo3b4o$
32boo5bo4bo114bo3boo5b3oboobo82bo3boo5b3oboobo925bo6boo6booboo705bo13b
o3bo3bobobboo$28boo3bo4boobboo7bo7boboo96bo6boo6booboo18boo61bo12bobbo
927bo6boo6booboo719bo3bo3bobobboo$27boobo5b3oboo8b3o5bo6bo93bo6boo6boo
boo18boo62bo3bo6bo931bo3boo5b3oboobo724bobb3o3bo3b4o10bo$27boobo18bo4b
obboo3bobbo93bo3boo5b3oboobo23bo59b4o7bo931bo12bobbo727b3o5bo3b4o10boo
$29bo18b3o4bobo5boo94bo12bobbo25bo1003bo3bo6bo740booboo11bobo$48b3o4bo
bo5boo95bo3bo6bo29bo1003b4o7bo14bo713bo$49bo4bobboo3bobbo22boo70b4o7bo
98b4o7bo452bobo494boo460bo252bobbo$50b3o5bo6bo22bobo6boobbo168bo3bo6bo
453boo215bo7boboo266bobo459bobo5bo$51bo7boboo24bobboo5boobobbo165bo12b
obbo449bo215b3o5bo6bo724boobo3bobbobbo$88boo3bo4bo4bo80boo83bo3boo5b3o
boobo662bo4bobboo3bobbo510bobo213bo3bo3boboboo$88bo5bo4bobbobo79boo83b
o6boo6booboo660b3o4bobo5boo271bo7bo232boo216bo7booboo277b3o$88bo5bo4bo
bbobo164bo6boo6booboo660b3o4bobo5boo272bo6boob3o227bo217bo7booboo282bo
$88boo3bo4bo4bo165bo3boo5b3oboobo662bo4bobboo3bobbo269b3oboo7b3o441bo
3bo3boboboo279boo3b3o$87bobboo5boobobbo165bo12bobbo612bo52b3o5bo6bo25b
o249bo4boo3bo385boo51boobo3bobbobbo27boo248boo3boobbobo$88bobo6boobbo
168bo3bo6bo614boobo52bo7boboo27bobo5bo242bo4boo3bo385bobo6boobbo40bobo
5bo30bobbo6bo240boo3boobbobo$88boo180b4o7bo614boobo5b3oboo79boobo3bobb
obbo236boo7b3o385bobboo5boobobbo39bo40bo6boob3o239boo3b3o$897boo3bo4b
oobboo79bo3bo3boboboo239boob3o387boo3bo4bo4bo77b3obboo7b3o243bo$901boo
5bo4bo16boo63bo7booboo237bo392bo5bo4bobbobo83bo4boo3bo237b3o$171boo
728boo5bo4bo16boo45boo16bo7booboo630bo5bo4bobbobo55boo26bo4boo3bo$171b
obo6boobbo533bo178boo3bo4boobboo16boo31boo9boobb3obboo8bo3bo3boboboo
452boo178boo3bo4bo4bo15bo32boo5b4o9boo7b3obboo7b3o$170bobboo5boobobbo
529boobo176boobo5b3oboo16b3o32boo8boo4bobobbo6boobo3bobbobbo454bobo6b
oobbo11b3o151bobboo5boobobbo15b3o30boo4b3obo9boo10bo6boob3o$171boo3bo
4bo4bo95boo432boobo5b3oboo165boobo27boobo3bo38boboobo3bo8bobo5bo457bo
bboo5boobobbo11bo152bobo6boobbo20bo36b3obo17bobbo6bo$171bo5bo4bobbobo
93b4o432boo3bo4boobboo165bo27bobob4obo38boo3bo12bo465boo3bo4bo4bo10bo
153boo29booboo36b3o19boo$171bo5bo4bobbobo92booboo7boo427boo5bo4bo6b3o
183bo58boo471bo5bo4bobbobo198boo36boo$171boo3bo4bo4bo93boobboo5bob5o
423boo5bo4bo8bo184boo55b4o470bo5bo4bobbobo190boobb3obboo179bo$170bobb
oo5boobobbo92b3o10boo4boo417boo3bo4boobboo8bo156boo31boboo48booboo7boo
407boo52boo3bo4bo4bo191bo3bob4o53bo7boboo115boo$171bobo6boobbo94b3o4b
3o3bo370boo51boobo5b3oboo26boo171bobbo49boobboo5bob5o402b4o50bobboo5b
oobobbo23b4o7bo157boobb3o54b3o5bo6bo111bobo$171boo17b3o86b3o4b3o3bo
369booboo5b3o41boobo37bobo6boobbo159bobo49b3o10boo4boo109bo289booboo7b
oo42bobo6boobbo25bo3bo6bo158bo58bo4bobboo3bobbo$195bo15b3o65b3o10boo4b
oo362bobboo10bo40bo37bobboo5boobobbo209b3o4b3o3bo116boo288boobboo5bob
5o38boo36bo12bobbo212b3o4bobo5boo$190boo3b3o82boobboo5bob5o364b4o6boo
3b3o77boo3bo4bo4bo209b3o4b3o3bo115bobo287b3o10boo4boo74bo3boo5b3oboobo
210b3o4bobo5boo$186boo3boobbobo82booboo7boo368boo4boo3boobbobo77bo5bo
4bobbobo208b3o10boo4boo398b3o4b3o3bo81bo6boo6booboo210bo4bobboo3bobbo$
168bo17boo3boobbobo83b4o377boo4boo3boobbobo77bo5bo4bobbobo209boobboo5b
ob5o400b3o4b3o3bo81bo6boo6booboo211b3o5bo6bo$167bobo5bo14boo3b3o84boo
378b4o6boo3b3o4boo55boo14boo3bo4bo4bo210booboo7boo404b3o10boo4boo59boo
13bo3boo5b3oboobo40boo171bo7boboo$166boobo3bobbobbo15bo466bobboo10bo
63boo13bobboo5boobobbo191bobbo16b4o414boobboo5bob5o61boo13bo12bobbo43b
oo$168bo3bo3boboboo8b3o469booboo5b3o82bobo6boobbo192bo21boo415booboo7b
oo81bo3bo6bo46bo$171bo7booboo104boo373boo26boo64boo53boo161booboo423b
4o26bo32bo30b4o7bo198b3o$171bo7booboo103b4o399b4o119boo151b3o5bo3b4o
422boo27boo24boobbobobo239b3o4b3oboo$168bo3bo3boboboo104booboo7boo389b
o36boo84bo152bobb3o3bo3b4o450bobo23b3o3boo28bo210bo7b3o4bobo271b3o$
166boobo3bobbobbo106boobboo5bob5o374boo11bo29bobboobbo23b3o206bo3bo3bo
bobboo442boo37boo5boo26boobo215boobo4bobbo99bo173bo$167bobo5bo109b3o
10boo4boo372boo11bo27b3obbo3bo23b3o4b3oboo196bo3bo3bobobboo105bo7boboo
14bo310boo37b3oboobo27boobo5b3oboo204boobo4bobbo98bobo5bo165bo$168bo
116b3o4b3o3bo384b3o4boo29bobboobo22bo7b3o4bobo197bobb3o3bo3b4o98b3o5bo
6bo9bobo143b3o204boo33boo3bo4boobboo196bo7b3o4bobo81boo14boobo3bobbobb
o$285b3o4b3o3bo386bob4o65boobo4bobbo198b3o5bo3b4o97bo4bobboo3bobbo10b
oo145bo205b4o34boo5bo4bo197b3o4b3oboo83bobo16bo3bo3boboboo$285b3o10boo
4boo381b3o66boobo4bobbo207booboo98b3o4bobo5boo157bo172boo33b3o34boo5bo
4bo197b3o95bo19bo7booboo12bo$225boo59boobboo5bob5o383boo61bo7b3o4bobo
195bo97boo15b3o4bobo5boo366bo31boo3bo4boobboo316bo7booboo10bobo$215boo
8boo59booboo7boo452b3o4b3oboo199bobbo92bobo16bo4bobboo3bobbo396boobo5b
3oboo315bo3bo3boboboo13boo$215boo70b4o461b3o272bo34bo17b3o5bo6bo25bo
93bobo274boobo271boo51boobo3bobbobbo27boo$288boo735boobo52bo7boboo27bo
bo5bo87boo276bo272bobo6boobbo40bobo5bo30bobbo6bo$292b4o7bo150boo277bo
291boobo5b3oboo79boobo3bobbobbo83bo256boo291bobboo5boobobbo39bo40bo6b
oob3o$292bo3bo6bo149booboo5b3o266bobo5bo285boo3bo4boobboo79bo3bo3bobob
oo337bobbo6bo284boo3bo4bo4bo77b3obboo7b3o81bobo$169bo7boboo110bo12bobb
o145bobboo10bo262boobo3bobbobbo285boo5bo4bo31bo49bo7booboo338bo6boob3o
279bo5bo4bobbobo30boo51bo4boo3bo81boo$168b3o5bo6bo107bo3boo5b3oboobo
143b4o6boo3b3o262bo3bo3boboboo283boo5bo4bo30bobo48bo7booboo335b3obboo
7b3o278bo5bo4bobbobo30bobo50bo4boo3bo81bo$167bo4bobboo3bobbo30boo75bo
6boo6booboo142boo4boo3boobbobo265bo7booboo277boo3bo4boobboo56boo21bo3b
o3boboboo344bo4boo3bo277boo3bo4bo4bo32b3o20boo20b3obboo7b3o$166b3o4bob
o5boo31boo75bo6boo6booboo142boo4boo3boobbobo265bo7booboo276boobo5b3ob
oo35bo22boo19boobo3bobbobbo346bo4boo3bo276bobboo5boobobbo33b3o19boo23b
o6boob3o68bo$166b3o4bobo5boo108bo3boo5b3oboobo143b4o6boo3b3o262bo3bo3b
oboboo278boobo44bobbo43bobo5bo343b3obboo7b3o278bobo6boobbo32boobo43bo
bbo6bo73boo$167bo4bobboo3bobbo107bo12bobbo108b3o34bobboo10bo262boobo3b
obbobbo282bo44bobb3o43bo353bo6boob3o279boo43b3o4bo41boo80bobo$168b3o5b
o6bo4boo102bo3bo6bo112b3o4b3oboo24booboo5b3o266bobo5bo336boo35boo85bo
270bobbo6bo331booboboo$169bo7boboo7bobo6boobbo15boo73b4o7bo110bo7b3o4b
obo22boo277bo341bo3bo33b4o84boo270boo341bobboo$187bobboo5boobobbo13boo
201boobo4bobbo603boo37boboobbo31booboo7boo74bobo572boo35boo5boo36bo7bo
boo$188boo3bo4bo4bo190boo24boobo4bobbo603boo37boboboo32boobboo5bob5o
645boo35boo42b3o5bo6bo$188bo5bo4bobbobo188bobbo6bo10bo7b3o4bobo643b3o
33b3o10boo4boo681bo41bo4bobboo3bobbo$188bo5bo4bobbobo6bo184bo6boob3o7b
3o4b3oboo682b3o4b3o3bo729b3o4bobo5boo$188boo3bo4bo4bo6bobo5bo174b3obb
oo7b3o6b3o692b3o4b3o3bo729b3o4bobo5boo$187bobboo5boobobbo5boobo3bobbo
bbo177bo4boo3bo700b3o10boo4boo723bo4bobboo3bobbo$188bobo6boobbo9bo3bo
3boboboo175bo4boo3bo311boo388boobboo5bob5o332b4o7bo382b3o5bo6bo$188boo
24bo7booboo145bobbo17b3obboo7b3o312bobo6boobbo376booboo7boo336bo3bo6bo
383bo7boboo$214bo7booboo144bo24bo6boob3o312bobboo5boobobbo355bobbo16b
4o344bo12bobbo$211bo3bo3boboboo22b4o7bo124booboo5bobbo6bo95boo221boo3b
o4bo4bo354bo21boo345bo3boo5b3oboobo$209boobo3bobbobbo24bo3bo6bo115b3o
5bo3b4o4boo102booboo5b3o211bo5bo4bobbobo365booboo352bo6boo6booboo355b
3o$210bobo5bo27bo12bobbo110bobb3o3bo3b4o108bobboo10bo208bo5bo4bobbobo
356b3o5bo3b4o350bo6boo6booboo355b3o4b3oboo$211bo34bo3boo5b3oboobo104bo
3bo3bobobboo114b4o6boo3b3o206boo3bo4bo4bo356bobb3o3bo3b4o350bo3boo5b3o
boobo354bo7b3o4bobo$246bo6boo6booboo103bo3bo3bobobboo24boo88boo4boo3b
oobbobo205bobboo5boobobbo352bo3bo3bobobboo356bo12bobbo362boobo4bobbo$
246bo6boo6booboo107bobb3o3bo3b4o18boo88boo4boo3boobbobo206bobo6boobbo
354bo3bo3bobobboo357bo3bo6bo366boobo4bobbo94bobbo$88boo156bo3boo5b3ob
oobo109b3o5bo3b4o108b4o6boo3b3o206boo370bobb3o3bo3b4o94b4o7bo245b4o7bo
360bo7b3o4bobo93bo$88bobo6boobbo144bo12bobbo120booboo110bobboo10bo228b
oo351b3o5bo3b4o94bo3bo6bo266boo351b3o4b3oboo108booboo$87bobboo5boobobb
o143bo3bo6bo112bo126booboo5b3o230bobbo6bo352booboo95bo12bobbo261booboo
5b3o341b3o109b3o5bo3b4o$88boo3bo4bo4bo143b4o7bo113bobbo123boo243bo6boo
b3o335bo111bo3boo5b3oboobo259bobboo10bo449bobb3o3bo3b4o$88bo5bo4bobbob
o636b3obboo7b3o335bobbo107bo6boo6booboo258b4o6boo3b3o443bo3bo3bobobboo
$88bo5bo4bobbobo304boo82b4o7bo195boo46bo4boo3bo445bo6boo6booboo258boo
4boo3boobbobo443bo3bo3bobobboo$88boo3bo4bo4bo305boo8boo72bo3bo6bo195b
oo46bo4boo3bo445bo3boo5b3oboobo22bobbo233boo4boo3boobbobo447bobb3o3bo
3b4o$51bo7boboo24bobboo5boobobbo315boo71bo12bobbo232b3obboo7b3o446bo
12bobbo23bo200bo36b4o6boo3b3o395bo52b3o5bo3b4o$50b3o5bo6bo22bobo6boobb
o390bo3boo5b3oboobo153boo37bo40bo6boob3o397bo7boboo39bo3bo6bo39booboo
143boo38b4o34bobboo10bo396bobo5bo54booboo26b3o$49bo4bobboo3bobbo22boo
402bo6boo6booboo152boo36bobo36bobbo6bo401b3o5bo6bo36b4o7bo30b3o5bo3b4o
141boo36bo4boo33booboo5b3o398boobo3bobbobbo38bo42b3o4b3oboo$48b3o4bobo
5boo427bo6boo6booboo189booboo36boo408bo4bobboo3bobbo77bobb3o3bo3b4o
178bobboo37boo40boo368bo3bo3boboboo37bobbo36bo7b3o4bobo$29bo18b3o4bobo
5boo308b3o116bo3boo5b3oboobo131bobbo56bobbo41boo402b3o4bobo5boo74bo3bo
3bobobboo187b4o78boo370bo7booboo81boobo4bobbo$27boobo18bo4bobboo3bobbo
307b3o4b3oboo106bo12bobbo132bo61boo41b4o401b3o4bobo5boo57bo16bo3bo3bob
obboo184bobo81bo372bo7booboo81boobo4bobbo$27boobo5b3oboo8b3o5bo6bo305b
o7b3o4bobo104bo3bo6bo148booboo87booboo7boo23boo368bo4bobboo3bobbo16boo
29boo3b6o9boo8bobb3o3bo3b4o122b3o54bo47bo7boboo393bo3bo3boboboo47boo
18boo8bo7b3o4bobo$28boo3bo4boobboo7bo7boboo314boobo4bobbo104b4o7bo139b
3o5bo3b4o67boo16boobboo5bob5o20boo368b3o5bo6bo13boo32boobbooboobbo8boo
9b3o5bo3b4o122b3o4b3oboo69boo20b3o5bo6bo388boobo3bobbobbo23boo24boo18b
oo10b3o4b3oboo$32boo5bo4bo332boobo4bobbo254bobb3o3bo3b4o67boo15b3o10b
oo4boo17bo371bo7boboo18b3oboo30boo3boboo27booboo122bo7b3o4bobo42boo22b
oo19bo4bobboo3bobbo389bobo5bo20b3o4bobo31b3o21b3o$32boo5bo4bo326bo7b3o
4bobo7boobbo238bo3bo3bobobboo90b3o4b3o3bo426bobo35b4obo16bo144boobo4bo
bbo41boo43b3o4bobo5boo391bo26bobbo3bob3o27bo4bo$7boo19boo3bo4boobboo
329b3o4b3oboo10boobobbo236bo3bo3bobobboo33bo56b3o4b3o3bo421b3obbob3ob
oo31boo20bobbo140boobo4bobbo86b3o4bobo5boo418bobbobboo30boo3bo$6b4o17b
oobo5b3oboo331b3o16bo4bo4bo240bobb3o3bo3b4o28bo55b3o10boo4boo413bob3o
bb3o3bo49boo140bo7b3o4bobo47boo38bo4bobboo3bobbo418bo3bo31boo20b4o7bo$
5booboo7boo8boobo102boo258bo4bobbobo83b4o7bo145b3o5bo3b4o26b3o18boo36b
oobboo5bob5o414boobooboo3bobbo49bobo6boobbo130b3o4b3oboo49b4o38b3o5bo
6bo408boo13bo31bobbo17bo3bo6bo$5boobboo5bob5o6bo103bobo6boobbo246bo4bo
bbobo83bo3bo6bo154booboo48booboo5b3o26booboo7boo419boo8b3o49bobboo5boo
bobbo128b3o42bo15booboo7boo30bo7boboo411boo13boo3bo27boo17bo12bobbo$4b
3o10boo4boo107bobboo5boobobbo243bo4bo4bo3bo79bo12bobbo138bo64bobboo10b
o24b4o429bo61boo3bo4bo4bo174bo14boobboo5bob5o464b3o49bo3boo5b3oboobo$
4b3o4b3o3bo115boo3bo4bo4bo247boobobbo3bo79bo3boo5b3oboobo137bobbo60b4o
6boo3b3o23boo492bo5bo4bobbobo171b3o13b3o10boo4boo464bo49bo6boo6booboo$
4b3o4b3o3bo115bo5bo4bobbobo227boo17boobbo5bo79bo6boo6booboo200boo4boo
3boobbobo517bo5bo4bobbobo187b3o4b3o3bo469boo50bo6boo6booboo$4b3o10boo
4boo108bo5bo4bobbobo226bobbo6bo99bo6boo6booboo200boo4boo3boobbobo517b
oo3bo4bo4bo188b3o4b3o3bo521bo3boo5b3oboobo$5boobboo5bob5o110boo3bo4bo
4bo230bo6boob3o94bo3boo5b3oboobo201b4o6boo3b3o516bobboo5boobobbo188b3o
10boo4boo514bo12bobbo$5booboo7boo113bobboo5boobobbo227b3obboo7b3o93bo
12bobbo203bobboo10bo519bobo6boobbo191boobboo5bob5o10b3o504bo3bo6bo$6b
4o123bobo6boobbo236bo4boo3bo93bo3bo6bo207booboo5b3o522boo203booboo7boo
16bo485boo17b4o7bo$7boo124boo248bo4boo3bo93b4o7bo208boo512boo224b4o24b
o485b4o$376b3obboo7b3o338b3o486booboo5b3o215boo510booboo7boo$128boo
249bo6boob3o341bo486bobboo10bo724boobboo5bob5o$127booboo5b3o117bo118bo
bbo6bo345bo487b4o6boo3b3o721b3o10boo4boo$127bobboo10bo112bobo119boo
841boo4boo3boobbobo721b3o4b3o3bo$127b4o6boo3b3o111boo479bo482boo4boo3b
oobbobo249boobbo467b3o4b3o3bo$127boo4boo3boobbobo593boo5b3oboo469b4o6b
oo3b3o249boobobbo465b3o10boo4boo$127boo4boo3boobbobo332boo258boo3bo4b
oobboo467bobboo10bo247bo4bo4bo466boobboo5bob5o$8bo7boboo107b4o6boo3b3o
331booboo5b3o252boo5bo4bo466booboo5b3o251bo4bobbobo465booboo7boo$7b3o
5bo6bo104bobboo10bo333bobboo10bo249boo5bo4bo467boo261bo4bobbobo466b4o$
6bo4bobboo3bobbo104booboo5b3o336b4o6boo3b3o248bo4boobboo730bo4bo4bo
468boo$5b3o4bobo5boo106boo346boo4boo3boobbobo251b3oboo736boobobbo$5b3o
4bobo5boo356boo96boo4boo3boobbobo993boobbo$6bo4bobboo3bobbo7bo347boo
96b4o6boo3b3o$7b3o5bo6bo7boob3o440bobboo10bo$8bo7boboo5boo7b3o439boob
oo5b3o$27bo4boo3bo84boo243boo108boo$27bo4boo3bo83booboo5b3o232booboo5b
3o$25boo7b3o84bobboo10bo229bobboo10bo12b3o$30boob3o85b4o6boo3b3o227b4o
6boo3b3o84boo$12bo17bo90boo4boo3boobbobo227boo4boo3boobbobo83booboo5b
3o$10boobo107boo4boo3boobbobo227boo4boo3boobbobo83bobboo10bo$10boobo5b
3oboo96b4o6boo3b3o227b4o6boo3b3o83b4o6boo3b3o$11boo3bo4boobboo94bobboo
10bo229bobboo10bo85boo4boo3boobbobo$15boo5bo4bo93booboo5b3o232booboo5b
3o10boo76boo4boo3boobbobo$15boo5bo4bo94boo243boo19booboo5b3o66b4o6boo
3b3o$11boo3bo4boobboo361bobboo10bo63bobboo10bo$10boobo5b3oboo363b4o6b
oo3b3o61booboo5b3o$10boobo374boo4boo3boobbobo8b3o51boo$12bo375boo4boo
3boobbobo8b3o4b3oboo$388b4o6boo3b3o6bo7b3o4bobo$388bobboo10bo14boobo4b
obbo23boo$111boo134b4o7bo129booboo5b3o17boobo4bobbo23bobo6boobbo1028b
oo$111bobo6boobbo122bo3bo6bo130boo21bo7b3o4bobo22bobboo5boobobbo1027b
oo$110bobboo5boobobbo119bo12bobbo151b3o4b3oboo26boo3bo4bo4bo1026bo$
111boo3bo4bo4bo119bo3boo5b3oboobo149b3o36bo5bo4bobbobo282boo$111bo5bo
4bobbobo118bo6boo6booboo187bo5bo4bobbobo283boo$111bo5bo4bobbobo118bo6b
oo6booboo187boo3bo4bo4bo283bo$111boo3bo4bo4bo84bo34bo3boo5b3oboobo187b
obboo5boobobbo$110bobboo5boobobbo83bobo5bo27bo12bobbo190bobo6boobbo
250bo$111bobo6boobbo84boobo3bobbobbo24bo3bo6bo194boo263bo$boo108boo98b
o3bo3boboboo22b4o7bo457b3o$bobo6boobbo199bo7booboo1233bo$obboo5boobobb
o171boo24bo7booboo1234bo$boo3bo4bo4bo85boo84bobo6boobbo9bo3bo3boboboo
229b3o1002b3o$bo5bo4bobbobo84bobo6boobbo71bobboo5boobobbo5boobo3bobbo
bbo236bo$bo5bo4bobbobo83bobboo5boobobbo70boo3bo4bo4bo6bobo5bo235boo3b
3o$boo3bo4bo4bo85boo3bo4bo4bo70bo5bo4bobbobo6bo238boo3boobbobo$obboo5b
oobobbo85bo5bo4bobbobo69bo5bo4bobbobo245boo3boobbobo982b3o$bobo6boobbo
8boo77bo5bo4bobbobo69boo3bo4bo4bo250boo3b3o984bo$boo20bobo6boobbo65boo
3bo4bo4bo69bobboo5boobobbo255bo985bo$22bobboo5boobobbo62bobboo5boobobb
o51bo7boboo7bobo6boobbo90b4o7bo150b3o244b3o$23boo3bo4bo4bo63bobo6boobb
o52b3o5bo6bo4boo102bo3bo6bo399bo$23bo5bo4bobbobo9bo7boboo41boo63bo4bo
bboo3bobbo107bo12bobbo394bo$23bo5bo4bobbobo8b3o5bo6bo102b3o4bobo5boo
108bo3boo5b3oboobo$23boo3bo4bo4bo8bo4bobboo3bobbo102b3o4bobo5boo108bo
6boo6booboo$22bobboo5boobobbo7b3o4bobo5boo24boo78bo4bobboo3bobbo107bo
6boo6booboo$23bobo6boobbo9b3o4bobo5boo23bobbo6bo71b3o5bo6bo107bo3boo5b
3oboobo$23boo22bo4bobboo3bobbo25bo6boob3o67bo7boboo110bo12bobbo$48b3o
5bo6bo22b3obboo7b3o189bo3bo6bo$49bo7boboo32bo4boo3bo188b4o7bo$93bo4boo
3bo184boo$86b3obboo7b3o184b4o$89bo6boob3o184booboo7boo$86bobbo6bo189b
oobboo5bob5o$87boo196b3o10boo4boo$285b3o4b3o3bo1149boo$168bo116b3o4b3o
3bo408boo738b4o$167bobo5bo109b3o10boo4boo400booboo5b3o727booboo7boo$
88boobbo73boobo3bobbobbo106boobboo5bob5o402bobboo10bo724boobboo5bob5o$
88boobobbo73bo3bo3boboboo104booboo7boo406b4o6boo3b3o721b3o10boo4boo$
84bo4bo4bo76bo7booboo103b4o415boo4boo3boobbobo721b3o4b3o3bo$85bo4bobbo
bo75bo7booboo104boo416boo4boo3boobbobo721b3o4b3o3bo$85bo4bobbobo72bo3b
o3boboboo8b3o459bobbo50b4o6boo3b3o23boo696b3o10boo4boo$84bo4bo4bo71boo
bo3bobbobbo15bo455bo54bobboo10bo24b4o696boobboo5bob5o$88boobobbo72bobo
5bo14boo3b3o84boo379booboo38booboo5b3o26booboo7boo636b3o48booboo7boo
30bo7boboo$88boobbo75bo17boo3boobbobo83b4o369b3o5bo3b4o37boo36boobboo
5bob5o632b3o4b3oboo39b4o38b3o5bo6bo$186boo3boobbobo82booboo7boo359bobb
3o3bo3b4o74b3o10boo4boo628bo7b3o4bobo37boo38bo4bobboo3bobbo$190boo3b3o
82boobboo5bob5o351bo3bo3bobobboo80b3o4b3o3bo641boobo4bobbo76b3o4bobo5b
oo$195bo83b3o10boo4boo349bo3bo3bobobboo80b3o4b3o3bo641boobo4bobbo76b3o
4bobo5boo$171boo17b3o86b3o4b3o3bo360bobb3o3bo3b4o14boboo29boo4bob3o9b
oo5b3o10boo4boo628bo7b3o4bobo46boo18boo9bo4bobboo3bobbo$171bobo6boobbo
94b3o4b3o3bo361b3o5bo3b4o14boboo29boobboobo3bo8boo6boobboo5bob5o632b3o
4b3oboo23boo24boo18boo10b3o5bo6bo$170bobboo5boobobbo92b3o10boo4boo363b
ooboo16bobb3o32bo4boo16booboo7boo636b3o27bo5bobo32bo23bo7boboo$171boo
3bo4bo4bo93boobboo5bob5o353bo37boo32b4obo17b4o674b3o6bo30booboo$171bo
5bo4bobbobo92booboo7boo358bobbo24boobbobobbobo55boo674b3o3boo3bo26b5o$
171bo5bo4bobbobo93b4o394bobobobbobobboo49boo685boo30bobbo18boo$171boo
3bo4bo4bo95boo395bo4boo3b3o49bobbo6bo662boo13bo5bo25bobbo17booboo5b3o$
170bobboo5boobobbo492b3o8bo53bo6boob3o657boo4bo9bo3bo27boo18bobboo10bo
$171bobo6boobbo556b3obboo7b3o661bo10bobbo48b4o6boo3b3o$171boo575bo4boo
3bo669bobbo50boo4boo3boobbobo$748bo4boo3bo670boo51boo4boo3boobbobo$
741b3obboo7b3o724b4o6boo3b3o$270b4o7bo462bo6boob3o725bobboo10bo$270bo
3bo6bo459bobbo6bo730booboo5b3o$269bo12bobbo456boo739boo$269bo3boo5b3ob
oobo434boo738b4o7bo$269bo6boo6booboo433bobo6boobbo726bo3bo6bo$269bo6b
oo6booboo432bobboo5boobobbo723bo12bobbo$269bo3boo5b3oboobo434boo3bo4bo
4bo723bo3boo5b3oboobo$269bo12bobbo436bo5bo4bobbobo722bo6boo6booboo$
270bo3bo6bo440bo5bo4bobbobo722bo6boo6booboo$160b4o7bo98b4o7bo440boo3bo
4bo4bo723bo3boo5b3oboobo$160bo3bo6bo549bobboo5boobobbo723bo12bobbo$
159bo12bobbo546bobo6boobbo726bo3bo6bo$159bo3boo5b3oboobo83b4o7bo449boo
738b4o7bo$159bo6boo6booboo82bo3bo6bo$159bo6boo6booboo81bo12bobbo$159bo
3boo5b3oboobo82bo3boo5b3oboobo$159bo12bobbo84bo6boo6booboo$160bo3bo6bo
10b4o7bo66bo6boo6booboo$160b4o7bo10bo3bo6bo66bo3boo5b3oboobo$181bo12bo
bbo62bo12bobbo$181bo3boo5b3oboobo9bo51bo3bo6bo$181bo6boo6booboo7bobo5b
o44b4o7bo$181bo6boo6booboo6boobo3bobbobbo$181bo3boo5b3oboobo9bo3bo3bob
oboo$181bo12bobbo14bo7booboo22boo$182bo3bo6bo18bo7booboo21booboo5b3o$
182b4o7bo15bo3bo3boboboo23bobboo10bo$207boobo3bobbobbo25b4o6boo3b3o$
208bobo5bo29boo4boo3boobbobo$209bo36boo4boo3boobbobo$246b4o6boo3b3o$
246bobboo10bo$246booboo5b3o$247boo3$249bo$249bo$250bobbo$248b3oboobo$
244boo6booboo$244boo6booboo$248b3oboobo$250bobbo$249bo$249bo!

The repulsor beam is very weak, pushing the beehives forwards at the very slow speed of 2c/2884 = c/1442 (0.00069c). However, eventually the beehives will be pushed an arbitrarily large distance forwards on each cycle.

This is the reaction which creates a beehive and then pushes it.

Code: Select all

#C A stream of MWSS-LWSS spaceship pairs creates and pushes a beehive.
#C The first spaceship pair hits two c/5 spider spaceships to create a
#C beehive.  Each of the following spaceship pairs then push the beehive
#C forwards by two cells.  The spacing between successive spaceship
#C pairs can be any even number of cells.  The spiders can be advanced
#C by any multiple of six cells.
#C David I. Bell, 10 September 2026
x = 450, y = 54, rule = B3/S23
436boo$433b3oboo$433boobboo$433bobobbo$432boob4o$432boobo$436b3o$$437b
oo$437bobo$438boo$435bobo$435bo$$435bo$435bobo$438boo$437bobo$437boo$$
436b3o$432boobo$432boob4o$433bobobbo$433boobboo$433b3oboo$436boo$446b
oo$443boobbo$9bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo33boobbo$7bo3b
o35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o36bo$12bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo30bob4o$obbo3bo4bo
27bobbo3bo4bo27bobbo3bo4bo27bobbo3bo4bo27bobbo3bo4bo27bobbo3bo4bo27bo
bbo3bo4bo27bobbo3bo4bo27bobbo3bo4bo27bobbo3bo4bo27bobbo3bo4bo29boobo$
4bo3b5o31bo3b5o31bo3b5o31bo3b5o31bo3b5o31bo3b5o31bo3b5o31bo3b5o31bo3b
5o31bo3b5o31bo3b5o33b3o$o3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo
35bo3bo35bo3bo35bo3bo35bo3bo42bo$b4o36b4o36b4o36b4o36b4o36b4o36b4o36b
4o36b4o36b4o36b4o42boo$449bo$448bo$448bo$444b3o$$444b3o$448bo$448bo$
449bo$447boo$447bo$446b3o$442boobo$443bob4o$448bo$443boobbo$443boobbo$
446boo!

Here is the c/10 convoy which can delete the beehive at any of its possible positions.

Code: Select all

#C A convoy of c/10 spaceships deletes beehives at any multiple of
#C two cells apart.  This uses pairs of period 200 c/10 rakes to
#C cleanly delete beehives using the sparks released by kick-back
#C reactions.  It can delete a single beehive at any even position
#C in a row.  This example shows beehives spaced apart by 14 cells,
#C which demonstrates all the possible deletion positions in one
#C pattern.  A MWSS-LWSS convoy has room to be pass through the convoy
#C and perhaps react with a beehive without it being affected by the
#C kick-back reactions.  However, if a beehive within the convoy
#C happens to be pushed by a MWSS-LWSS pair, the moved beehive might
#C escape being deleted.
#C David I. Bell, 10 September 2026
x = 931, y = 746, rule = B3/S23
121boo$121bobo6boobbo$120bobboo5boobobbo$121boo3bo4bo4bo$121bo5bo4bobb
obo$121bo5bo4bobbobo$121boo3bo4bo4bo$120bobboo5boobobbo$121bobo6boobbo
$121boo$141boo$140bobbo6bo$143bo6boob3o$140b3obboo7b3o$147bo4boo3bo$
147bo4boo3bo$140b3obboo7b3o277bo$59boo82bo6boob3o277bobo5bo$59boo79bo
bbo6bo281boobo3bobbobbo$141boo291bo3bo3boboboo$51bobbo45boo44boo289bo
7booboo$50bo44b3obboo43b4o288bo7booboo$62booboo28b3o46booboo7boo276bo
3bo3boboboo$53b3o5bo3b4o34boo17boo20boobboo5bob5o270boobo3bobbobbo$52b
obb3o3bo3b4o34bobo16boo19b3o10boo4boo269bobo5bo$48bo3bo3bobobboo36b3ob
obo37b3o4b3o3bo277bo$48bo3bo3bobobboo36boo3bo38b3o4b3o3bo$52bobb3o3bo
3b4o74b3o10boo4boo289b3o$53b3o5bo3b4o37boo28b3o5boobboo5bob5o291b3o4b
3oboo$62booboo38booboo5b3o20bo5booboo7boo230boo61bo7b3o4bobo$50bo54bo
bboo10bo16bo7b4o239b3o66boobo4bobbo$51bobbo50b4o6boo3b3o23boo238bob4o
65boobo4bobbo$105boo4boo3boobbobo261b3o4boo29bobboobo22bo7b3o4bobo$
105boo4boo3boobbobo256boo11bo27b3obbo3bo23b3o4b3oboo$105b4o6boo3b3o
256boo11bo29bobboobbo23b3o$105bobboo10bo269bo36boo$92bo12booboo5b3o
273b4o$93bo12boo256boo26boo64boo$91b3o269booboo5b3o82bobo6boobbo$363bo
bboo10bo63boo13bobboo5boobobbo$363b4o6boo3b3o4boo55boo14boo3bo4bo4bo$
363boo4boo3boobbobo77bo5bo4bobbobo$363boo4boo3boobbobo77bo5bo4bobbobo$
363b4o6boo3b3o77boo3bo4bo4bo$363bobboo10bo40bo37bobboo5boobobbo$363boo
boo5b3o41boobo37bobo6boobbo$364boo51boobo5b3oboo26boo$418boo3bo4boobb
oo8bo$302boo118boo5bo4bo8bo$301b4o117boo5bo4bo6b3o$300booboo7boo104boo
3bo4boobboo$300boobboo5bob5o99boobo5b3oboo$142bo156b3o10boo4boo97boobo
$143boo154b3o4b3o3bo106bo$142boo155b3o4b3o3bo$299b3o10boo4boo$300boobb
oo5bob5o$300booboo7boo$301b4o$302boo17b4o7bo$321bo3bo6bo$320bo12bobbo$
320bo3boo5b3oboobo$320bo6boo6booboo$320bo6boo6booboo96bo$282boo36bo3b
oo5b3oboobo97boo$242boo37b5o34bo12bobbo98bobo$242boo36boobboo35bo3bo6b
o$278boobbobobo34b4o7bo$278bo3boobbo$235bo48boo$234bobo5bo37boboo44b3o
$233boobo3bobbobbo35bo22boo21b3o4b3oboo$235bo3bo3boboboo34bo21boo19bo
7b3o4bobo$238bo7booboo29bobbo48boobo4bobbo$238bo7booboo30boo49boobo4bo
bbo$235bo3bo3boboboo37bobbo36bo7b3o4bobo$233boobo3bobbobbo38bo42b3o4b
3oboo$106b3o125bobo5bo54booboo26b3o$108bo126bo52b3o5bo3b4o$107bo179bo
bb3o3bo3b4o$270bo12bo3bo3bobobboo17boo$271boo10bo3bo3bobobboo18boo102b
obo$270boo15bobb3o3bo3b4o11bo105boo$288b3o5bo3b4o117bo$297booboo$122bo
162bo$123bo162bobbo$121b3o5$144b3oboo$141bo4boobboo$140boo5bo4bo$140b
oo5bo4bo$141bo4boobboo170bo149bo$144b3oboo170bobo150bo$321boo148b3o3$
172bo$173boo$106boo64boo$105booboo5b3o$105bobboo10bo$105b4o6boo3b3o$
105boo4boo3boobbobo334boboo$105boo4boo3boobbobo333bo6bo$41bobbo60b4o6b
oo3b3o23boo307boo3bobbo$40bo64bobboo10bo24b4o303boobo5boo$52booboo48b
ooboo5b3o9boo15booboo7boo294boobo5boo$43b3o5bo3b4o20bobo24boo20boo14b
oobboo5bob5o293boo3bobbo$42bobb3o3bo3b4o20bobo45bo15b3o10boo4boo242bo
49bo6bo$38bo3bo3bobobboo26bo63b3o4b3o3bo249boo49boboo$38bo3bo3bobobboo
90b3o4b3o3bo248bobo$42bobb3o3bo3b4o73boo9b3o10boo4boo$43b3o5bo3b4o73b
oo10boobboo5bob5o$52booboo87booboo7boo$40bo37b3o64b4o270bo$41bobbo33bo
bboo3b3o57boo269boobo$78boobboo3bo23boo28boo274boobo5b3oboo$49boo18boo
9b6o25boo3booboobbo16bobbo6bo267boo3bo4boobboo$49boo18boo44bo27bo6boob
3o266boo5bo4bo$116bo3boobboo14b3obboo7b3o265boo5bo4bo$116boboo27bo4boo
3bo260boo3bo4boobboo$115b3o29bo4boo3bo196boo61boobo5b3oboo26boo$117b4o
19b3obboo7b3o196booboo5b3o51boobo37bobo6boobbo$115bo3boo22bo6boob3o
197bobboo10bo50bo37bobboo5boobobbo$116bo23bobbo6bo202b4o6boo3b3o87boo
3bo4bo4bo$141boo142boo13bo52boo4boo3boobbobo78bo8bo5bo4bobbobo$121boo
163boo13boo50boo4boo3boobbobo77bobbo6bo5bo4bobbobo$121bobo6boobbo150bo
14boo51b4o6boo3b3o35bobo23boo15b3o6boo3bo4bo4bo$120bobboo5boobobbo216b
obboo10bo36boobboo21boo15b3o5bobboo5boobobbo$121boo3bo4bo4bo216booboo
5b3o38boo4bo47bobo6boobbo$121bo5bo4bobbobo216boo49bo4bo47boo$121bo5bo
4bobbobo268bo$121boo3bo4bo4bo270bo$120bobboo5boobobbo232boo82b3o$121bo
bo6boobbo234boo82b3o4b3oboo35bo$121boo203b3o122bo7b3o4bobo30boobo$331b
o125boobo4bobbo30boobo5b3oboo$326boo3b3o123boobo4bobbo31boo3bo4boobboo
$322boo3boobbobo117bo7b3o4bobo35boo5bo4bo$123bobbo195boo3boobbobo119b
3o4b3oboo38boo5bo4bo$122bo203boo3b3o119b3o44boo3bo4boobboo$134booboo
192bo20bo146boobo5b3oboo$125b3o5bo3b4o185b3o21bobo81bo46bo17boobo$124b
obb3o3bo3b4o210boo80bobo5bo39bobo17bo$120bo3bo3bobobboo297boobo3bobbo
bbo35boo$120bo3bo3bobobboo299bo3bo3boboboo$124bobb3o3bo3b4o61bo83bobbo
147bo7booboo$125b3o5bo3b4o62boo80bo151bo7booboo$134booboo63boo93booboo
132bo3bo3boboboo$122bo21boo142b3o5bo3b4o128boobo3bobbobbo$123bobbo16b
4o140bobb3o3bo3b4o129bobo5bo$142booboo7boo127bo3bo3bobobboo136bo$142b
oobboo5bob5o123bo3bo3bobobboo$141b3o10boo4boo125bobb3o3bo3b4o$141b3o4b
3o3bo70bo62b3o5bo3b4o$141b3o4b3o3bo69bobo5bo64booboo26b3o$141b3o10boo
4boo61boobo3bobbobbo48bo42b3o4b3oboo$61boo79boobboo5bob5o65bo3bo3bobob
oo47bobbo36bo7b3o4bobo$61boo79booboo7boo72bo7booboo91boobo4bobbo$143b
4o81bo7booboo65boo24boobo4bobbo$98boo44boo79bo3bo3boboboo66bobo7boo9bo
7b3o4bobo$57bo39bob4o48bo71boobo3bobbobbo26bo43bo7boo11b3o4b3oboo$55b
oobo38bo3boo47bobo5bo65bobo5bo29b3o8bo54b3o$55boobo5b3oboo28b3o23boo
23boobo3bobbobbo62bo36boboo5b3o$56boo3bo4boobboo27bo24boo16boo7bo3bo3b
oboboo96boo8boobo$60boo5bo4bo68boobo9bo7booboo94boo7boboo20boo25b4o7bo
$60boo5bo4bo69bobo9bo7booboo65boo18boo7boobboo4b3o20boo5bo19bo3bo6bo
35bobbo$56boo3bo4boobboo79bo3bo3boboboo67boo18boo8b6o3boo23booboobo17b
o12bobbo30bo$55boobo5b3oboo79boobo3bobbobbo100boo31b4oboo17bo3boo5b3ob
oobo40booboo$55boobo52bo7boboo27bobo5bo110bo28b4o18bo6boo6booboo30b3o
5bo3b4o$57bo52b3o5bo6bo25bo115bobo50bo6boo6booboo29bobb3o3bo3b4o$109bo
4bobboo3bobbo142bo51bo3boo5b3oboobo26bo3bo3bobobboo$108b3o4bobo5boo
195bo12bobbo28bo3bo3bobobboo$108b3o4bobo5boo196bo3bo6bo36bobb3o3bo3b4o
$109bo4bobboo3bobbo176boo17b4o7bo37b3o5bo3b4o$110b3o5bo6bo175b4o74boob
oo$111bo7boboo177booboo7boo53bo$300boobboo5bob5o50bobbo$299b3o10boo4b
oo$299b3o4b3o3bo$98bo200b3o4b3o3bo$96bobo200b3o10boo4boo$97boo201boobb
oo5bob5o$300booboo7boo$301b4o$302boo6$328bo$327bo83bo$327b3o81bobo$
411boo$$147bobo82bo$148boo83boo$148bo83boo16$112boo$111bobo$113bo14$
128bo$126bobo20bo$127boo20bo87b3o82boo$150bobbo88bo78bob5o$148b3oboobo
81boo3b3o77boo4boo$144boo6booboo76boo3boobbobo72boo3bo$144boo6booboo
76boo3boobbobo72boo3bo$148b3oboobo81boo3b3o77boo4boo$150bobbo88bo78bob
5o$149bo87b3o82boo$149bo$258bo$257bo83bo$257b3o81bobo$341boo$111bo7bob
oo$110b3o5bo6bo51bobo82bo$109bo4bobboo3bobbo52boo83boo$108b3o4bobo5boo
8bo44bo83boo$108b3o4bobo5boo8boo$109bo4bobboo3bobbo6bobo$47bo62b3o5bo
6bo25bo$45boobo62bo7boboo27bobo5bo$45boobo5b3oboo89boobo3bobbobbo$46b
oo3bo4boobboo89bo3bo3boboboo$50boo5bo4bo91bo7booboo$50boo5bo4bo91bo7b
ooboo$46boo3bo4boobboo16bo55boo15bo3bo3boboboo$45boobo5b3oboo17b3o54b
oo13boobo3bobbobbo$45boobo28boobo69bobo5bo$47bo103bo$84boo58boo$80bobb
ob3o27boo26b4o$51boo18boo3bobobbobo3bo26bobbobboo20booboo7boo$51boo18b
oo4bo36bobbobboo20boobboo5bob5o$77b3obboo30bobbo23b3o10boo4boo$80boobb
obo28boo24b3o4b3o3bo$141b3o4b3o3bo$141b3o10boo4boo$142boobboo5bob5o$
142booboo7boo$123bobbo16b4o$122bo21boo$134booboo152boo$125b3o5bo3b4o
65b3o81bobo$124bobb3o3bo3b4o67bo83bo$120bo3bo3bobobboo72bo$120bo3bo3bo
bobboo$124bobb3o3bo3b4o$125b3o5bo3b4o$134booboo$122bo$123bobbo9$382boo
12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo
12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo
12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo$381bobbo10bobb
o10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobb
o10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobb
o10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobb
o10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo10bobbo$382boo12boo
12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo
12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo
12boo12boo12boo12boo12boo12boo12boo12boo12boo12boo11$96boo$95booboo5b
3o$95bobboo10bo$95b4o6boo3b3o229bo$95boo4boo3boobbobo230bo$95boo4boo3b
oobbobo228b3o$95b4o6boo3b3o$95bobboo10bo$95booboo5b3o$96boo$116boo$
116bobo6boobbo$115bobboo5boobobbo$116boo3bo4bo4bo$74boo40bo5bo4bobbobo
$74boo40bo5bo4bobbobo52bo$116boo3bo4bo4bo54boo81bobo$38boo37bo37bobboo
5boobobbo53boo83boo$38boo35booboo36bobo6boobbo140bo$75booboo36boo$75b
oobbo40bobbo$77boo40bo121boo$19bo7boboo100booboo20b3o81bobo$18b3o5bo6b
o67boo19b3o5bo3b4o20bo83bo$17bo4bobboo3bobbo67boo18bobb3o3bo3b4o19bo$
16b3o4bobo5boo84bo3bo3bobobboo167bo$16b3o4bobo5boo84bo3bo3bobobboo83b
oo81boo$17bo4bobboo3bobbo26bobo58bobb3o3bo3b4o76boo82bobo$18b3o5bo6bo
27boo17b4o7bo30b3o5bo3b4o78bo$19bo7boboo30bo18bo3bo6bo39booboo$79bo12b
obbo23bo$79bo3boo5b3oboobo22bobbo$79bo6boo6booboo$79bo6boo6booboo214bo
$79bo3boo5b3oboobo215boo$79bo12bobbo216bobo$80bo3bo6bo$80b4o7bo14bo$
106boo286b3o$105bobo286bo$395bo$210booboo$112bo7bo88bo3b4o$113bo6boob
3o83bo3b4o$111b3oboo7b3o78boobboo$117bo4boo3bo77boobboo$117bo4boo3bo
81bo3b4o$115boo7b3o82bo3b4o$120boob3o84booboo$120bo257boboo$377bo6bo$
376boo3bobbo$373boobo5boo$373boobo5boo$376boo3bobbo$377bo6bo$378boboo
6$304b3oboo$303b3o4bobo$301boobo4bobbo$301boobo4bobbo$303b3o4bobo$304b
3oboo4$211boo$126b3o81bobo$128bo83bo$127bo$369bo$285boo81boo$90bobo
191boo82bobo$91boo193bo$91bo4$283bo$283boo$282bobo$$76bo$76boo386b3o$
75bobo386bo$465bo14$80b4o7bo$80bo3bo6bo$79bo12bobbo$79bo3boo5b3oboobo$
79bo6boo6booboo$79bo6boo6booboo$79bo3boo5b3oboobo22bobbo$79bo12bobbo
23bo$29bo7boboo39bo3bo6bo39booboo$28b3o5bo6bo36b4o7bo30b3o5bo3b4o$27bo
4bobboo3bobbo77bobb3o3bo3b4o$26b3o4bobo5boo74bo3bo3bobobboo$26b3o4bobo
5boo57bo16bo3bo3bobobboo$27bo4bobboo3bobbo16boo29boo3b6o9boo8bobb3o3bo
3b4o$28b3o5bo6bo13boo32boobbooboobbo8boo9b3o5bo3b4o$29bo7boboo18b3oboo
30boo3boboo27booboo$59bobo35b4obo16bo$54b3obbob3oboo31boo20bobbo57boo$
53bob3obb3o3bo49boo62bobo$52boobooboo3bobbo49bobo6boobbo52bo$53boo8b3o
49bobboo5boobobbo$54bo61boo3bo4bo4bo307bo$116bo5bo4bobbobo222boo81boo$
116bo5bo4bobbobo221boo82bobo$116boo3bo4bo4bo224bo$115bobboo5boobobbo$
116bobo6boobbo$116boo$96boo227bobbo$95booboo5b3o145bo70bo$95bobboo10bo
142boo81booboo$95b4o6boo3b3o139bobo72b3o5bo3b4o$95boo4boo3boobbobo213b
obb3o3bo3b4o$95boo4boo3boobbobo209bo3bo3bobobboo$95b4o6boo3b3o209bo3bo
3bobobboo197b3o$95bobboo10bo215bobb3o3bo3b4o191bo$95booboo5b3o219b3o5b
o3b4o192bo$96boo238booboo$324bo21boo47bo7boboo$325bobbo16b4o45b3o5bo6b
o$344booboo7boo35bo4bobboo3bobbo$344boobboo5bob5o30b3o4bobo5boo$94bo
248b3o10boo4boo28b3o4bobo5boo$93bobo5bo191bo49b3o4b3o3bo36bo4bobboo3bo
bbo$92boobo3bobbobbo188bo48b3o4b3o3bo37b3o5bo6bo$94bo3bo3boboboo184bob
o48b3o10boo4boo31bo7boboo$97bo7booboo147boo18boo12bobbo30boo17boobboo
5bob5o$97bo7booboo147boo18boo12b3o29boobo17booboo7boo$94bo3bo3boboboo
183bobo29bo21b4o$92boobo3bobbobbo180b3obob3obo26bobo20boo$93bobo5bo
147bo36bobbooboob3o26boobbobo22bo$94bo152boobo36b3o3bo3bo31boo21bobo5b
o$247boobo5b3oboo26bo5boo24boo7bo10boo9boobo3bobbobbo$113b3o132boo3bo
4boobboo56boo18boo11bo3bo3boboboo$113b3o4b3oboo126boo5bo4bo91bo7booboo
$111bo7b3o4bobo123boo5bo4bo91bo7booboo$74boo41boobo4bobbo119boo3bo4boo
bboo89bo3bo3boboboo$73boobo40boobo4bobbo118boobo5b3oboo89boobo3bobbobb
o$73boobo34bo7b3o4bobo118boobo62bo7boboo27bobo5bo$36boo37bobbo34b3o4b
3oboo123bo62b3o5bo6bo25bo$36boo38bo36b3o195bo4bobboo3bobbo126bobbo$76b
3o231b3o4bobo5boo126bo$310b3o4bobo5boo138booboo$14boo102boo191bo4bobb
oo3bobbo128b3o5bo3b4o$13booboo5b3o92bobo6boobbo180b3o5bo6bo127bobb3o3b
o3b4o$13bobboo10bo26bo43boo16bobboo5boobobbo179bo7boboo126bo3bo3bobobb
oo$13b4o6boo3b3o25boo41boo17boo3bo4bo4bo317bo3bo3bobobboo$13boo4boo3b
oobbobo24boo61bo5bo4bobbobo16boo302bobb3o3bo3b4o$13boo4boo3boobbobo87b
o5bo4bobbobo15bobo303b3o5bo3b4o$13b4o6boo3b3o87boo3bo4bo4bo18bo312boob
oo$13bobboo10bo50bo37bobboo5boobobbo217bo101bo21boo47bo7boboo$13booboo
5b3o51boobo37bobo6boobbo219bo102bobbo16b4o31bo13b3o5bo6bo$14boo61boobo
5b3oboo26boo232bobbo18bo98booboo7boo21boo12bo4bobboo3bobbo$78boo3bo4b
oobboo256b3oboobo16boo97boobboo5bob5o17bobo10b3o4bobo5boo$82boo5bo4bo
251boo6booboo14bobo96b3o10boo4boo28b3o4bobo5boo$82boo5bo4bo251boo6boob
oo113b3o4b3o3bo36bo4bobboo3bobbo$78boo3bo4boobboo256b3oboobo114b3o4b3o
3bo37b3o5bo6bo$77boobo5b3oboo260bobbo116b3o10boo4boo31bo7boboo$77boobo
270bo41boo78boobboo5bob5o$79bo143bo127bo41boo78booboo7boo$223boo249b4o
$107bo114bobo205bo3boo39boo$105bobo270bo50bobobboo46bo$100boo4boo268b
oobo49bobo49bobo5bo$101boo14boboo188bo66boobo5b3oboo39bo7bo17boo22boob
o3bobbobbo110b3o$100bo15bo6bo183bobo67boo3bo4boobboo41boobobo16boo24bo
3bo3boboboo108bo$115boo3bobbo184boo71boo5bo4bo41bobo47bo7booboo107bo$
112boobo5boo258boo5bo4bo42bobo46bo7booboo$112boobo5boo200boo52boo3bo4b
oobboo78b3o8bo3bo3boboboo$115boo3bobbo198bobo51boobo5b3oboo82bo6boobo
3bobbobbo$116bo6bo200bo51boobo62bo7boboo18bo8bobo5bo$117boboo257bo62b
3o5bo6bo25bo$440bo4bobboo3bobbo$439b3o4bobo5boo$439b3o4bobo5boo$440bo
4bobboo3bobbo125boo$441b3o5bo6bo124booboo5b3o$442bo7boboo127bobboo10bo
$427bo153b4o6boo3b3o$428bo152boo4boo3boobbobo$426b3o152boo4boo3boobbob
o$581b4o6boo3b3o$480bo100bobboo10bo$480bo100booboo5b3o54b4o7bo$481bobb
o97boo64bo3bo6bo$479b3oboobo115boo43bo12bobbo$475boo6booboo114bobo6boo
bbo31bo3boo5b3oboobo$475boo6booboo92bo20bobboo5boobobbo29bo6boo6booboo
$479b3oboobo92b4o19boo3bo4bo4bo29bo6boo6booboo$481bobbo93bo4bo18bo5bo
4bobbobo28bo3boo5b3oboobo$480bo96bo3bobbo17bo5bo4bobbobo28bo12bobbo$
480bo64boo34bo3bo16boo3bo4bo4bo30bo3bo6bo$511boo18boo13bobo31boobbo16b
obboo5boobobbo30b4o7bo$511boo18boo13boboboo21boo3bo3bo19bobo6boobbo$
542b3o3boboo21boo4bobo20boo$85bo455bobbo4boobo53bobbo$86boo452bo3bo8bo
51bo$85boo34boo382bo7boboo23b3o8boo64booboo$120bobo381b3o5bo6bo74boo
12b3o5bo3b4o$122bo380bo4bobboo3bobbo20bobbo50boo11bobb3o3bo3b4o$502b3o
4bobo5boo21bo47bo14bo3bo3bobobboo$502b3o4bobo5boo22b3o42bobo14bo3bo3bo
bobboo$344bo147boo9bo4bobboo3bobbo67boo18bobb3o3bo3b4o$344boo147boo9b
3o5bo6bo46b4o7bo30b3o5bo3b4o$343bobo146bo12bo7boboo49bo3bo6bo39booboo$
565bo12bobbo23bo$565bo3boo5b3oboobo22bobbo$565bo6boo6booboo$565bo6boo
6booboo$193bo371bo3boo5b3oboobo$193boo370bo12bobbo$192bobo371bo3bo6bo$
566b4o7bo$70boo$71boo240bo7boboo14bo292boo$70bo241b3o5bo6bo9bobo291bob
o$311bo4bobboo3bobbo10boo293bo$310b3o4bobo5boo279bo$293boo15b3o4bobo5b
oo114b3o162boob3o$292bobo16bo4bobboo3bobbo115bo157boo7b3o$259bo34bo17b
3o5bo6bo25bo88bo160bo4boo3bo$257boobo52bo7boboo27bobo5bo242bo4boo3bo$
257boobo5b3oboo79boobo3bobbobbo236boo7b3o$258boo3bo4boobboo79bo3bo3bob
oboo239boob3o$262boo5bo4bo31bo49bo7booboo237bo$262boo5bo4bo30bobo48bo
7booboo$79bo178boo3bo4boobboo56boo21bo3bo3boboboo$77boobo176boobo5b3ob
oo35bo22boo19boobo3bobbobbo$77boobo5b3oboo165boobo44bobbo43bobo5bo96bo
$78boo3bo4boobboo165bo44bobb3o43bo104bo$82boo5bo4bo214boo35boo108b3o
122boo$82boo5bo4bo212bo3bo33b4o233boo$78boo3bo4boobboo173boo37boboobbo
31booboo7boo223bo$24boo51boobo5b3oboo26boo147boo37boboboo32boobboo5bob
5o$23booboo5b3o41boobo37bobo6boobbo175b3o33b3o10boo4boo202bo$23bobboo
10bo40bo37bobboo5boobobbo209b3o4b3o3bo210boo$23b4o6boo3b3o77boo3bo4bo
4bo209b3o4b3o3bo209boo$23boo4boo3boobbobo77bo5bo4bobbobo208b3o10boo4b
oo$23boo4boo3boobbobo58boobo15bo5bo4bobbobo209boobboo5bob5o$23b4o6boo
3b3o16bo31boo8b4o6boo7boo3bo4bo4bo210booboo7boo$23bobboo10bo18b4o28boo
7bo3bo6boo6bobboo5boobobbo191bobbo16b4o$23booboo5b3o16b3ob4obo37b3o16b
obo6boobbo192bo21boo$24boo26boobobo41b3o16boo216booboo$52boobbo44bo
225b3o5bo3b4o$54b3o269bobb3o3bo3b4o$58b3o52b3o206bo3bo3bobobboo$60bo
52b3o4b3oboo196bo3bo3bobobboo105bo7boboo$111bo7b3o4bobo197bobb3o3bo3b
4o98b3o5bo6bo$117boobo4bobbo198b3o5bo3b4o97bo4bobboo3bobbo$117boobo4bo
bbo207booboo98b3o4bobo5boo$111bo7b3o4bobo195bo114b3o4bobo5boo$113b3o4b
3oboo199bobbo111bo4bobboo3bobbo$113b3o272bo52b3o5bo6bo5boo18bo$386boob
o52bo7boboo9boo16bobo5bo$94bo291boobo5b3oboo61bo17boobo3bobbobbo$93bob
o5bo285boo3bo4boobboo79bo3bo3boboboo$92boobo3bobbobbo285boo5bo4bo81bo
7booboo$94bo3bo3boboboo283boo5bo4bo81bo7booboo$97bo7booboo277boo3bo4b
oobboo63boo14bo3bo3boboboo$97bo7booboo53bo222boobo5b3oboo12bo52boo12b
oobo3bobbobbo$94bo3bo3boboboo55boo221boobo22b4o65bobo5bo$92boobo3bobbo
bbo56bobo223bo22bobo4booboo59bo$93bobo5bo308boo7b3o53boo$94bo316bobobo
boboo24boo27b4o$403boo7boobobbo26boo3boo21booboo7boo115boo$403boo8bob
oo31booboo20boobboo5bob5o110bobo$414boo32boobobboo16b3o10boo4boo110bo$
449bobb5o15b3o4b3o3bo$448b3oboobbo15b3o4b3o3bo$449bob5o16b3o10boo4boo$
83boo365b5o18boobboo5bob5o$83bobo6boobbo354bo3bo17booboo7boo$82bobboo
5boobobbo355bobbo16b4o$83boo3bo4bo4bo354bo21boo$83bo5bo4bobbobo365boob
oo$83bo5bo4bobbobo356b3o5bo3b4o$83boo3bo4bo4bo356bobb3o3bo3b4o$82bobb
oo5boobobbo352bo3bo3bobobboo$83bobo6boobbo354bo3bo3bobobboo$83boo370bo
bb3o3bo3b4o94b4o7bo$103boo351b3o5bo3b4o79boo13bo3bo6bo$102bobbo6bo352b
ooboo82boo11bo12bobbo$105bo6boob3o335bo97bo13bo3boo5b3oboobo$80b3o19b
3obboo7b3o335bobbo107bo6boo6booboo$79bobboo25bo4boo3bo445bo6boo6booboo
11bo$47bo31booboboo23bo4boo3bo445bo3boo5b3oboobo13boo7bobbo$47bo31boo
3boo16b3obboo7b3o446bo12bobbo14boo7bo$12boo18boo13boo31b3oboo19bo6boob
3o397bo7boboo39bo3bo6bo39booboo$12boo18boo14boobo22boo3bo3bo18bobbo6bo
401b3o5bo6bo36b4o7bo30b3o5bo3b4o$44bo4boboo21boo4bobbo19boo408bo4bobb
oo3bobbo77bobb3o3bo3b4o$3bobbo36b3o3bo3bo27bo26boo402b3o4bobo5boo74bo
3bo3bobobboo$bbo39boobo6boo53b4o401b3o4bobo5boo32bobboo37bo3bo3bobobb
oo$14booboo22boo9boo52booboo7boo393bo4bobboo3bobbo33bobo18boo21bobb3o
3bo3b4o$5b3o5bo3b4o74boo9boobboo5bob5o390b3o5bo6bo33bobbo17boo22b3o5bo
3b4o$4bobb3o3bo3b4o20b4o50boo8b3o10boo4boo389bo7boboo33b3obbo51booboo$
o3bo3bobobboo27b3o42bobo15b3o4b3o3bo442bo43bo$o3bo3bobobboo28bo44boo
15b3o4b3o3bo442boo3boo38bobbo$4bobb3o3bo3b4o67bo16b3o10boo4boo437b5o
34boo$5b3o5bo3b4o47boo36boobboo5bob5o397boo43bo35bobo6boobbo$14booboo
48booboo5b3o26booboo7boo401boo78bobboo5boobobbo$bbo64bobboo10bo24b4o
491boo3bo4bo4bo$3bobbo60b4o6boo3b3o23boo492bo5bo4bobbobo$67boo4boo3boo
bbobo517bo5bo4bobbobo$67boo4boo3boobbobo517boo3bo4bo4bo$67b4o6boo3b3o
516bobboo5boobobbo$67bobboo10bo519bobo6boobbo$67booboo5b3o522boo$68boo
512boo$581booboo5b3o$133bo447bobboo10bo$133boo446b4o6boo3b3o$132bobo
446boo4boo3boobbobo$581boo4boo3boobbobo$106b3oboo469b4o6boo3b3o$103bo
4boobboo467bobboo10bo$102boo5bo4bo466booboo5b3o$102boo5bo4bo467boo$
103bo4boobboo$106b3oboo7$82boo$81bobo$83bo$$68bo$66bobo$67boo28$103bo$
103boo$102bobo13$68boo$52boo13booboo5b3o$51bobo13bobboo10bo$53bo13b4o
6boo3b3o$67boo4boo3boobbobo$67boo4boo3boobbobo13bo$13bobbo50b4o6boo3b
3o11bobo9boo$12bo54bobboo10bo14boo8b4o$24booboo38booboo5b3o26booboo7b
oo$15b3o5bo3b4o37boo36boobboo5bob5o$14bobb3o3bo3b4o74b3o10boo4boo$10bo
3bo3bobobboo36bobo41b3o4b3o3bo$10bo3bo3bobobboo40bo39b3o4b3o3bo$14bobb
3o3bo3b4o30bobb3o18boo18b3o10boo4boo$15b3o5bo3b4o30bobbobo18boo19boobb
oo5bob5o$24booboo36boo39booboo7boo$12bo48booboo41b4o$13bobbo46b3obo40b
oo$66b3o34boo$22boo78bobbo6bo$22boo81bo6boob3o$102b3obboo7b3o$109bo4b
oo3bo$109bo4boo3bo$102b3obboo7b3o$105bo6boob3o$102bobbo6bo$103boo$83b
oo$83bobo6boobbo$82bobboo5boobobbo$83boo3bo4bo4bo$83bo5bo4bobbobo$83bo
5bo4bobbobo$83boo3bo4bo4bo$82bobboo5boobobbo$83bobo6boobbo$83boo!

The sawtooth needs two of these convoys in series since if a MWSS-LWSS pair pushes a beehive while it is in the first convoy, then it can survive. Then the second convoy will always be able to delete it since there isn't enough time for a new MWSS-LWSS pair to arrive to save it again.

By re-adjusting the beehive deletion convoys, the two sets of kick-backs could be moved closer together, which could allow the slightly smaller period 1800 rakes to be used instead.

This is a new sawtooth spaceship speed (front c/5, back c/10).

Finally, thanks to Mr T. for the quite interesting c/10 technology.

BCNU,
-dbell